Title of Invention | GLYCEROL LEVULINATE KETALS AND THEIR USE |
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Abstract | The present disclosure relates to the preparation of ketal compounds from glycerol and levulinic acid and esters, and uses thereof. |
Full Text | CROSS-REFERENCE TO RELATED APPLICATIONS This application claims the benefit of United States Provisional Patent Application No. 60/738,988 entitled "Glycerol levulinate ketals and their use", filed. on November 22, 2005, which is incorporated by reference in its entirety herein.. TECHNICAL FIELD The present disclosure relates to the preparation of ketal compounds from glyeerol. and levulinic acid and esters. BACKGROUND Many known chemical products such as surfactants, plastieizcrs, solvents, and polymers are currently manufactured from non-renewable, expensive, petroleum-derived or natural gas-derived feedstock compounds. High, raw material costs and uncertainty of future supplies requires the discovery and development of surfactants, plasticizers, solvents, and polymers that can be made from inexpensive renewable biomass-derived. feedstocks and by simple chemical methods. Glyeerol is an inexpensive renewable compound that is readily available as a by-product of biodiesel production or via fermentation of carbohydrates. Levulinic (4- oxopentanoic) acid is another abundant feedstock that is prepared on an industrial scale by acidic degradation of hexoses and hexose-containing polysaccharides such as cellulose, starch, sucrose, and the like. Chemical products produced from these two materials could fill a need for inexpensive, renewable consumer and industrial products. SUMMARY • Provided herein are ketal compounds prepared from glyeerol and levulinic acid or derivatives thereof. In certain embodiments, such ketal compounds can have the formula: wherein R1 is hydrogen or a carbon atom of a levulinate fragment; R2 is hydroxyl, an oxygen atom of glycerol,. or an oxygen atom of an esterified glycerol fragment; and p is an integer. Compounds of this formulation can be prepared through the reaction of glycerol. or a glycerol derivative having the formula: wherein. R and R are independently selected from the group consisting of hydrogen; linear, branched., or cyclic alkyl; linear, branched, or cyclic alkenyl; aryl, and arlyalkyl; and a levulinic acid, levulinic ester, angelicalactone, or a dialkyl. ketal of levnlinic ester. The reaction can be effected in the presence of an acid catalyst, and under conditions sufficient to provide for removal of water from the reaction mixture. In another embodiment, a .ketal compound can have the formula; wherein R9 is hydrogen or a carboxyl moiety; R10 is OR11, or N(RI2)2; R11 and R12 sure independently hydrogen or a linear, branched, or cyclic alleyl; and p is an integer. This compound can be combined with a monohydric alcohol or carboxylic ester, and a reaction can be effected in the presence of a base catalyst. An example of a product resulting from such a reaction can include: wherein R3 is hydrogen; methyl; linear, branched, or cyclic alkyl; linear, branched, or cyclic alkenyl; aryl, aralkyl, and alkyloxyalkyl; and X is selected from hydrogen or wherein R6 is selected from hydrogen; linear, branched, or cyclic alkyl; linear, branched or cyclic alkenyl; aryl; aralkyl; and alkyloxyalkyl. In some embodiments, it is preferred that R3 is selected from a C3-C30 LInear, branched, or cyclic alkyl; linear, branched, or cyclic alkenyl; aralkyl; and alkyloxyalkyl. In another embodiment, when R3is hydrogen,, the reaction product can be present as a salt. Suitable sate can include alkali, alkali-earth, ammonia, and amine salts. In another embodiment, the compound having formula: wherein R9 is hydrogen or a carboxyl moiety; R10 is OR11, or N(R12)2; R11 and R12 are independently hydrogen or a linear, branched, or cyclic alkyl; and p is an integer, can undergo a reaction in the presence of a trans-eslerification catalyst Examples of compounds resulting from such a reaction can include: In a further embodiment, compounds can be prepared which have the formula; wherein R3 is hydrogen; methyl; linear, branched, or cyclic alkyl; linear, branched, or cyclic aikenyl; aryl, aralkyl, and alkyloxyalkyl; and Y is selected 'from the group consisting of: wherein one of R7 or R8 is hydrogen and the other is a C1-C30 linear alkyl; one of A or B is hydrogen and the other is an ester; and m and n are independently integers from 0 to 20, wherein the sum of tn+n is in the range from 8 to 21. In some embodiments, it is preferred that R3 is selected from C1-C30 linear, branched, or cyclic alkyl; linear, branched, or cyclic alkenyl; aralkyl; and alkyloxyalkyl. In another embodiment, R7 or R8 is a C6-C30 linear alkyl, or preferably a C6-C14 linear alkyl. .In certain embodiments, when. R3 is hydrogen, the compounds can be present as a salt. Suitable salts cart include alkali, alkali-earth, ammonia, and amine salts, Any of the compounds above can optionally be isolated or prepared in either the cis or trans confirmation, In some cases, the compounds can be predominantly in the cis configuration, i.e., the substituted oxymethylane moiety attached to the dioxolane ring is predominantly in the cis configuration relative to the configuration of the side chain bearing the carboxyl group. Preferably, the compounds are isolated or prepared exclusively in the cis configuration. Alternatively, the compounds can be isolated or prepared in predominantly the trans configuration, i.e., fee substituted oxymethylene. moiety attached to the dioxolane ring is predominantly in the trans configuration relative to the configuration of fee side chain bearing the earboxyl group. As above, the compounds are preferably isolated or prepared exclusively in the trans configuration. Also provided herein is a polymeric compound comprising a unit having the formula: wherein q is an integer. This polymer, and any of the compounds described above, can be combined with a base polymer to form a plasticized polymer composition. Examples of base polymers can include vinyl chloride polymer, poly(3-hydmxyalkanoate) polymer, poly(lactate) polymer, and polysaccharide polymer. The details of one or more embodiments of the invention are set forth in the description below. Other features, objects, and advantages of the invention will be apparent from the description and from the claims. . DETAILED DESCRIPTION The present disclosure provides a series of glycerol-deriyed compounds that are based on the formation of a ketal with the ketone group of levulinic acid. Glycerol-levulinate ketal compounds can be produced by reacting approximately one molar equivalent of glycerol with approximately one molar equivalent of levulinic acid in the presence of an acid catalyst, and under conditions allowing for removal of water, typically by distillation. The reaction is preferably carried out using between 0.7 to 1.3 molar equivalents of Ievulinic acid, although the reaction can be carried out with, lower or higher amounts of levulinic acid. However, when the amount of levulinic acid is too low, much of the glycerol remains unreacted. Alternatively,; if the amount of levulinic acid is too high, then di and tri-levulinate esters of glycerol are formed in large quantities, thereby reducing the yield, of the desired ketal adducts of giycerol and levuiinate. During the course of the reaction between one equivalent of giycerol and one equivalent of levutinale, two equivalents of water are formed. Water can conveniently be removed by distillation, or by an azeotropic distillation in the presence of a suitable inert solvent such as hexane, heptane, toluene, benzene, and the like. When about two equivalents of water have been removed from the reaction mixture, the reaction mixture contains predominantly a polymeric levulinate- glyceroJ kef al adduct comprising a repeat unit having formula (1): wherein the R1 is hydrogen or a earboxyl atom of a levuiinate fragment, and wherein R is hydroxyl, an oxygen atom of a giycerol, or an oxygen atom of an esterified glycerol fragment, and wherein p is an integer. The product is a polymer that is, in the absence of other compounds and impurities typically terminated at its ends by a levulinoyl group and by a giycerol ester fragment. The value of p depends on may factors and may significantly vary, depending on how much water has been removed, the reactant ratio, acid catalyst aad severity of the heating conditions used to remove water. The purity of the giycerol and levulimate are also factors. Relatively impure industrial grades of giycerol and levuiinate give adducte wherein p is in a range typically between 1 aad 10. However, even with pure glycerol and icvulinate it is difficult to Obtain polymers with p values significantly in excess of 30. It has been found feat the direct polyeondensation reaction between glycerb) and levulinate becomes staggered due to formation of the polymers of formula (1'), wherein R1 is represented by a gamma-valerolactone derivative, as shown herein: If heated for sufficiently long time, the compound (1') will slowly rearrange to a levulinoyl-terminated polymer, thereby allowing for further polymer growth. However, In Industrial practice, it is not practical or necessary to rely on such long reaction times, and it is preferred (hat the polycondensation reaction be stopped when about 70 to 95% of the theoretical amount of water has been collected. The resulting polymers comprise glycerol fragments that are esterified at more than one hydroxyl group, and such fragments are recognized herein as points of polymer branching or points of repeat unit inversion, wherein the repeat unit is of formula Depending on the severity of the conditions of the reaction, some ether bond formation, resulting in diglyeeryl fragments, or some elimination of hydroxyl groups from glycerol, to form acrolein, is possible. It is also possible that some angeiicalactone formation from levulinate also occurs and this product may be isolated and re-used. Typically, the polymeric adduct of glycerol and levulinate prepared from industrial grade glycerol and levulinate is a very viscous, semi- transparent or transparent liquid with a pale yellowish-brownish to near colorless botsey-like appearance due to traces of unidentified byproducts. However, even in the presence of these by-products, the final polymeric adduct comprising the repeat unit of formula (1) is found herein to be useful in the preparation of compounds and various intermediates. Similarly to the free ievutinic acid, levulinic esters of monohydric alkanols, beta- and gamma-angelicalactones, and 4,4-dialkoxypenanoate esters (which are esters of ketals of levulinic acid with monohydric alkanols) are also suitable to practice the synthesis of the glyeerol levulinate ketal compounds comprising the repeat unit of formula (1). Any of these levulinic derivatives can be used in the synthesis of the glycerol levnlinate ketal compounds in a substantially pure form, or in a mixture. The mixtures can comprise any of the above compounds with a quantity of free levulinic acid. When mixtures of the levulinic derivatives are used to make the glycerol levulinate ketal compounds, it is preferred that about one molar equivalent of these compounds is used per molar equivalent of glycerol. Similarly, in the synthesis of the glycerol levulinate ketal compounds, some or all of the glycerol can. be replaced with a glycerol ketaS or acetal of formula (2); wherein R4 and R5 arc each Independently selected from hydrogen; linear, branched, or cyclic aikyl; linear, branched, or cyclic alkenyl; ary!; or aralkyl. Preferably, R4 and R5 are not both hydrogen. Mono, di and tri esters of glycerol with simple C1-C8 linear or branched alkanoic acids can also be used instead of glycerol, or in. a mixture with glycerol. Monolevulinate ester of glycerol is also a suitable starting material. Synthesis of the condensation polymeric glycerol levulinate ketai adduct comprising the repeat unit of formula (.1) of glycerol is carried out with glycerol and levuiinic acid, which are fully miscibie compounds. For industrial practice, glycero! and levuiinic aeid do not need to be anhydrous and'thus may contain varying amounts of water. However, it is preferred that these starting materials do not contain, excessive amounts of water, as this results in a less efficient use of equipment. Typically, glycerol and levuiinic acid with water contents of about 10% or less are preferred. Synthesis of the polymeric levulinate-glycerol ketal adduct comprising the repeat unit of formula (1) typically requires the presence of a suitable acid catalyst. Non-limiting examples of such catalysts include strong mineral acids, such as sulfuric, hydrochloric, hydrofluoroboric, hydrobrornic acids, p-toluenesulfonic acid, camphorosulfonic acid, rnethanesulfonic acid, and like, Various resins that contain protonated sulfonic acid, groups are also useful as they can be easily recovered after completion of the reaction. Examples of acids also include Lewis acids. For example, boron trifluoride and various complexes of BF3, exemplified by BF3 diethyl etherate. Silica, acidic-alumina, titaraia., zirconia, various acidic clays, and mixed aluminum or magnesium oxides can be used, Activated carbon derivatives comprising mineral acid, sulfonic acid, or Lewis acid derivatives can also be used. One of ordinary skill in the art can practice many variations on the part of the catalyst composition and the amounts used in the preparation described herein, Amount and type of catalyst depends on the specific chemical composition of the epoxide and glycerol or glycerol derivative of formula (3), used in the reaction and can be readily established by one skilled in the art. It is preferred, however, that low-cosl catalysts that impart minimal or negligible corrosion effects on the equipment used in the synthesis, and have low volatility, toxicity, and environmental impacts, or can be easily neutralized to innocuous compounds,, are used, Sulferic acid is one such preferred catalyst. The reaction of condensation of glycerol and levulinic acid can be carried out without a catalyst, but, for industrial purposes, these reaction conditions are generally too slow to be practical, ia order " to yield industrial quantities of compounds comprising the repeat unit of formula (1), it is preferred that the condensation be accelerated by use of a catalyst and elevated temperature sufficient to remove water from the reaction mixture without undue time expenditure. The condensation reaction may optionally also be carried out under reduced pressure to facilitate removal, of water, and to minimize formation of discolored by-products. An adduct of glycerol and levulinate comprising ketal fragments of formula (I) can be further subjected to chemical reactions to yield derivatives of glycerol and levulinate. Trans-eterification with alcohols Products can be obtained when polymeric compounds comprising the repeat units of formula (I) are treated under trans-esterification conditions with a rnonohydric alcohol. Typically, such reactions are carried out with an alcohol in the presence of abase, such as alkali or alkali-earth hydroxides or alkoxides. The catalyst can be used in a soluble or insoluble form. Many trans-esterification base catalysts are known in the art, and the present disclosure is Hot limited to the use of a particular catalyst. Such trans-esterification reactions can result in the formation of a mixture of cis and trans- stereoisomers of a hydroxyestar compound having formula (3); wherein R3 is a linear, branched, or cyclic alkyl or alkenyl, aryl, aralkyl, or alkyloxyalkyl. A typical procedure for making the hydroxyester of formula (3) involves use of an excess of alcohol which, after neutralization of the base catalyst, is removed by distillation, The Irans-esterification reaction with an alcohol typically also results in the formation of minor quantities of free glycerol that readily separates as an alcohol-immiscible liquid from the alcoholic solutions of hydroxyester (3), ester of levulinic acid, and the R3OH alcohol used in the trans-esterification. The latter compound can be readily separated from the hydroxyester of formula (3) by distillation, typically under reduced pressure, and, if desired, re-used in the synthesis of the glycerol-levulinate ketal polymeric adduct comprising the repeat unit of formula (1). It has been found that the cis- and trans- isomers of the compound of formula (3) can be readily separated from each other by distillation using ordinary distillation equipment known in the art, such as distillation columns with sufficient number of plates, falling film, distillation columns, and the like. Preferably, distillation to separate cis- and trans-isomers of the compound of formula (3) is earned out under reduced pressure and in the relative absence of a trans- esterification catalyst. The latter condition is beneficial as it minhnizes polymerization of the compound of formula (3), as well as formation of a free alcohol, R3OH, which can make maintenance of sufficient vacuum difficult. However, the distillation maybe carried out without complete removal of trans- esterification catalyst, and any -and istilled oligomers can be recovered and re-used for preparation of the compound of formula (3) by the base-catalyzed reaction disclosed above. It has also been found that alkaline trans-esterification reaction of ketal-ester co-polymers of glycerol and levalinate comprising the repeat units of formula (i) yield mixtures of reaction products that largely comprise the cis and trans-isommrs of the compounds of formula {1), which are 1,2-ketals of glycerol and a levulinate ester with alcohol R3OH, Only negligible traces of 1,3-glycerol ketals of esterified levulinate are found in such product mixtures, Trang-esterification with carboxylic esters In a related embodiment, the trans-esterification in the presence of base is carried out under conditions similar to that described above for an alcoholic trans- esterification, except that instead of an alcohol, an ester of a carboxylic acid and an alkanol Is used. In this case, stereoisomers of carboxylic esters of glycerol levulinate ketal of formula (4) are formed: wherein R3 is a linear, branched, or cyclic alkyl or alkenyl, aryl, arallkyl, or alkyloxyalkyl, and R6 is hydrogen., or is a linear, branched, or cyclic alkyl or aikenyl, aryl, arakyl, alkyloxyalkyl, or oxoalkyl. The synthesis of compound (4) using trans-esterification with the carboxylic ester is also typically accompanied by the formation of minor quantities-of levulinate ester, glycerol, glycerol mono, di and tri esters of the carboxylic acid- R6COOH, and of varying quantities of the compound of formula. (3). The quantity of the compound of formula (3) depends largely on the value of p specified in the structure of the repeat unit of formula (1) described above; polymeric ketal adducts having lower values of p tend to produce higher relative quantities of the compound of formula (3) in relation to the compound of formula (4). The reaction products from base-catalyzed trans-esterification with carboxylic esters are typically separated and purified by distillation. De-polymerzing trans -esterification of polymeric glycerol levulinate ketal adducts In. another embodiment, a polymer comprising a glyceroi levutinate ketal adduct comprising a unit of formula (la): wherein R9 is hydrogen or a carboxyl moiety; R10 is OR11, or N(Rl2)2; R11 and R12 are independently hydrogen or a linear, branched, or cyclic alkyl; and p is an integer. In some embodiments, OR11 can. be a fragment of a monohydric or a polyhydric alcohol. The compound comprising the unit of formula (1a) is subjected to a trans-esterification reaction, resulting in a depolymcrization that provides for the formation of a bicyclic lactone-ketal adduct of glyceroi and levutinate, named herein "segetolide" ("lactone of a crop field"), having formula (5): 7-methyl-3,8,10-trioxabicyclo(5.2.1]decan-4-one. A further embodiment includes the provision of a cyclic dimex of segetolide (5). Such a cyclic dimer (named herein "bis-segetolide") is a cyclic bis-lactone (diolide) bis-ketal having formula 5{a): Typical lys such a depolymerizing trans-esterificatton reaction, is carried, out under substantially anhydrous reaction conditions, and in the presence of an acid or abase catalyst. Alternatively, one or more of many other catalysts known in the art to catalyze esterification or trans-esterification reactions, such as those known in the art of synthesis of various polyesters, may be used- Numerous examples of catalysts for synthesizing of compounds of formulae (5) and/or (5a) by depolymerization of polymers comprising repeat units of formula (la) caa be: found in the art of polyester synthesis. Description of such catalysts and methods of their use can be found,, for example, in United States Patents Nos. 4,133,800,4,205,157, 4,208,527, 5,028,667, 5,095,098, S,2l0,l08, 5,208,297, 5,202,413, 5,292,859 5,342,969, 5,565,545, and 6,-828,272. wherein R9 is hydrogen or a carboxyl moiety; R10 is OR11, or N(R11)2; R11 and R12 are independently hydrogen, or a linear, branched, or cyclic alkyl; and p Is an Under such conditions, the cyclic ketal lactones of formulae (5) and/or 5{a) are in equilibrium with one another, the polymeric compound, and various -oligomers comprising the unit of formula (1a). Under sufficient temperature, typically in the range of 160-300°C, and, preferably, wider reduced pressure, a vapor phase comprising ketal lactones of formulae (5) and (5a) is formed. The compounds of formulae (5) and (5a) are typically separated from the reaction mixture by distillation under reduce pressure, and separated from each other, if desired, by distillation. Further purification of the compounds of formulae (5) and (5a) can be achieved by repeated distillations, or by using a high efficiency distillation column. By adjusting the temperature and pressure of the distillation, it is possible to obtain the compound of formula (5) substantially free of the compound of formula (5a) without difficulty, as these two compounds.have a large difference in 'boiling temperatures. It is understood that if an. effective trans- esterification catalyst is present in the preparation of substantially pure compounds of formula (5) and/or 5(a), such compounds may equilibrate to form a. mixture of these to compounds, as well as varying quantities of polymers comprising the cis- isomers of the units of formula (1b): integer. In some embodiments, OR11 can be a fragment of a monohydric or a polyhydric alcohol When depolymerization is conducted in the presence of a catalyst, using a polymer comprising a mixture with approximately equal quantity of cis- and trans- units of formula (I), approximately half of the quantity of the polymeric adduct comprising the cis- and trans- isomeric units of formula (1) can be converted to the compound of formula (5), The remainder of the undistifled polymeric adduct consists predominantly, or exclusively, of the units of formula (1) having the trans- stereoohemistry (1 c): wherein R9 is hydrogen or a carboxyl moiety; R10 is OR11, or N(R13)2; R11. and R12 are independently hydrogen or a linear, branched, or cyclic alky); and p is an integer. In some embodiments, OR11 can be a fragment of a monohydric or a polyhydric alcohol. During depotymerization of polymers comprising the unit of formula (la) conducted in the absence of an effective amount of an acid catalyst that allows the irans-ketal to re-equilibrate to a mixture of cis- and trans- ketals, the compounds of formulae (5) and (5 a) are formed only from the cis-isomers of units of formula (lb). In general, the quantity of the products of compound of formulae (5) and (5a) that can be produced is limited by the abundance of the cis-fragments of the formula (1 b) in the polymer used for depolyrnerlzation. When depolymerization of the polymer comprising units of formula (i) is conducted in the presence of an acid catalyst, both cis- and trans- isomers of the units are in quiltbrium, and thus both cis- and trans- units can be converted to the compound of formula (5) and/or 5(a), It is preferred, however, that when an acid catalyst is used to conduct the depolymerization reaction, the temperatures of the reaction not be allowed to exceed 120-130 °C to avoid excessive decomposition of glycerol to acrolein, and formation of glyceryl ethers. After the compounds of formula (5) and/or (5a) have been substantially removed by distillation, the resulting depolymerization product is a useful polymer typically comprising predominantly, or exclusively, the tram-fragments of formula (1c). Such can be further converted, for example, by using trans-esterification with an excess alcohol or an ester in the presence of base. Under such, conditions, compounds of formula (3) and (4) comprising predominantly, or exclusively, the trans-isomers of the compounds of formula (3a) and (4a), respectively, are thus prepared: Similarly, the bi cyclic lac-tone keta! compounds of formula (5) and/or 5(a) are readily converted by a base-catalyzed trans-esterification with an alcohol or an ester to the corresponding cis-isomers of the hydroxyester (3b) and diester (4b): The glyeerol ketal derivatives of levulinic esters of formula (3), (4), (5), and 5(a), as well as the separated individual cis- and trans- stereoisomers (3a), (3b), (4a), and (4b), are excellent solvents for a variety of both hydrophobic compounds (e.g., fats, oils,, greases, waxes, varnishes) and many hydrophilic compounds. Compounds of formula (3), wherein R3 is a C1-C5 lower alkyl, are miscible with water in a broad range of concentrations. Therefore, these compounds are useful as part of various formulations in applications such as degreasing, paint thiners, paint removal or as part of formulated adhesives. Because of their relatively slow evaporation under ordinary environmental conditions (which can be controlled by selecting appropriate length of R6 and R3 groups), and because of a low agreeable or negligible odor, these compounds are also useful as eoalescent solvents in various latex paints and coatings where they can be supplied to the frmulation in addition to, or instead of, typical petroleum-derived solvents suck as 2,2,4-trimethyl-1,3- pentanediol monoisobutyrate or disobutyrste, ketones, and aromatic hydrocarbons. The compounds (3) and (4), as well as any individual or mixed stereoisoxners thereof, have also been found to be useful as plasticizers.with various polymers, such as poly(vinyl chlaride), poly(3-hydroxyalkanoates), poly(3- hydroxybutyrate), poly(lactate), and polysaccharides. Poly(vinyl chloride) polymers, PVC, are fromopolymers or co-polymers of vinyl chloride. Many PVC compounds of various degree of polymerization, cross- linking and co-polymer composition are known in the art and are produced industrially. Poly(3-hydroxyalkanoates), PHA, are polyester homopolymers or co- polymers of 3-hydroxyalkanoic acids. Preferably, PHA is composed of linear 3- hydroxyaikanoic fragments having from 3 to 18 carbon atom atoms, Poly(3- hydroxybutyrate), PHB, is a homopolymer that is produced biologically, for example by various microorganisms. A pure PHB polymer is a brittle polymer having a narrow range of processing temperatures, and it decomposes readily at temperatures that are only 20-30 "C above its melting temperature. Poly(lactate), or poiy(lactide), PL A, is a known polyester homopolymer comprising repeat units of lactic acid of various stereochemistry. Polysaccharides are homopolymers and co-polymers, linear or branched, comprising hexose or pentose fragments connected via glycosyl linkages. The polysaccharides may optionally contain various additional groups such as acylamido groups, sulfate ester groups, carboxylic ester groups, alkyl and hydroxyalkyl ether groups and the like. Such additional groups may be present in polysaccharides derived from natural sources or can be artificially introduced (i.e., by aeyktion. of cellulose). Examples of polysaccharides include acylated derivatives of cellulose and starch, as well as native or acylated chitin and pectin, Plasticizers are chemical compounds added to a base composition comprising one or more of the above polymers with the purpose of lowering the glass transition temperature of the polymer composition, thereby making the composition more flexible and amenable to processing, e.g., by melt extrusion or molding. Plasticizers are typically used at various effective concentrations, and depending on the polymer used and desired properties of the compounded polymer formulations, plasticizers can be used at concentrations between 1 and 80% by weight of the unplasticized polymer. It is understood that, depending on the polymer and the plasticjzec used, plasticizers can also confer other changes in physical and mechanical properties of the compounded polymer, as well as changes in barrier properties of the compounded polymer in respect to its permeability for various gases, water, water vapor, or organic compounds. - It is also understood that one or more different plasticizers can be used In various blends with additional compounds for the preparation of an extradable or moidable polymer composition. Such additional compounds can include various inorganic and organic filler compounds, wood dust, reinforcing fibers, dyes, pigments, stabilizers, lubricants, anti-microbial additives, and the like, Plasticizers 'are typically mixed with a polymer by mixing at temperatures that are above or below the melting point of the polymer. Plasticizers can also be introduced with a help of an optional volatile solvent. Many variations of techniques for introducing plasticizer compounds to polymer compositions are known in the art, For use as plasticizers, compounds of formula (3) and {4) are preferably selected from compounds wherein R3 and R6 are C1-C23 linear or branched alkyls, and preferably C1-C12. Specific choices for R3 and R6 depend on the polymer selected for plasticization and on the intended properties and application. The glyccrol ketal levulinic adducts of formula (3), (4)s and (5a) are useful as plasticizer compounds for PVC, poly(3-hydroxyalkanoates), poly(lactate), and various polysacchamte polymers. Compounds of formula (3), (4) and (Sa) are compatible with, these polymers across abroad range of concentrations. Compounds of formula (4) and (5a) are preferred for plasticization of PVC, as plasticizers with a substantial content of free hydroxyl group are generally not desired in compounded PVC resins due to stability problems of the PVC resin. By selecting various R3 and R6 moieties in the reactants used in the synthesis of these adducts, it is also possible to fine-tune the properties of the plasticizer not only In, respect to best plasticixation properties and best compatibility, but also in respect to the barrier properties of the resulting polymer, e.g., its permeability to moisture, gases, solvents, water leaching, and odor and state retention. Depending on the desired properties, compounds of formula (3), (4), and (5 a) can be used at various concentrations, typically, between. 5 and 80% by weight of the plasticized polymer composition. However, in practice it is sufficient to provide 5 to 25% by weight plasticizer to achieve significant lowering of the glass transition point and thus obtain useful polymeric compositions. The plasticizer compounds (3), (4), and (5a) can be used as individual compounds or as mixtures, including mixtures comprising other plasticizers known in the art such as aromatic and aliphatic diearboxylic esters, epoxidized triglycerides, and the like; Synthesis of polymeric glycerol levulinate ketal compounds from the monomers of The compound of formula (5) and the compounds of formulae (3) and (4), inclusive of compounds with defined cis- or trans- stereochemistry, such as (3a), (3b), (4a), (4b), can be further polymerized to provide for a variety of co-polymer compositions of glycerol and levulmate having at least one unit of formula (6): wherein q is an integer. The cyclic ketal-lactone compounds of formula (5) and (Sa) are particularly suitable for use in polymerization under ring opening living polymerization conditions. Such conditions are well known in the art and are known to yield high . molecular weight melt-processable polymers suitable for a variety of uses in the manufacturing of various plastics and. fibers.. For example, U.S. Patents Nos. 5,028,667, 5,292,859, 5,095,098, and 5,210,108 contain descriptions of catalysts and methods of use suitable for carrying out living polymerization of various lactones and mixtures thereof. Similarly, J, Macromolecules (2001, 34, 864,1 -8648) contains a description of conditions and catalysts for polymerizing dioxanones. These conditions and catalysts have beeri found to be useful in the polymerization or co-polymerization of compounds of formula 5 and/or 5(a) to form perfectly alternating ketal-ester copolymers of glycerol and levulioate comprising the cis-unit of formula (lb). Such polymers are clear thermoplastic transparent polymers that can be obtained in a practically colorless form and can be melt-processed, extruded, 'cast, and rolled to a variety of shapes. Synthesis of polymers comprising the unit of formula (6) are not limited to living polymerization. The hydroxyesters (3) and diesters (4) can also be converted to useful polymers comprising at least one unit of formula (6) by a polycondensation reaction in the presence of a suitable catalyst. The art of synthesis of various polyesters by polycondensation is old and many examples of suitable catalysts are known.. It has been found that many known catalysts for the synthesis of polyesters can be used to make polymers comprising at least one unit of formula (6). Non-limiting examples of suitable catalysts include alkali and transitional metal aikoxides, germanium oxide, alkali metal alkoxides, sodium, and acids. Further examples include various alkoxldes of titanium and tin (H) octanoate. Other descriptions of catalysis and methods of their use can be found, for example, in United States Patents Nos. 4,133,800, 4,205,157, 4,208,527.5,028,667,5,095,098, 5,210,108, 5,208,2.97, 5,202,413, 5,292,859 5,342,969, 5,565,545, 6,828,272, and references cited therein. The compounds of formulae (3) and (4), inclusive of compounds with defined cis- or tram- stereochemistry, such as (3a), (3b), (4a), and (4b), are typically polymerized in the presence of an effective quantity of a polycondensation catalyst, and under conditions allowing for the removal of an alcohol (R3OH) or an ester (R6COOR3) by distillation. For polymerization of these compounds, it is preferred (but not necessary) that the R3OH alcohol is a primary or secondary alcohol, and it is also preferred that the ester of formula R6COOR3 and/or the alcohol R3OH that form during polycondensation have boiling points sufficiently below-the boiling point of the monomers of formula (3), (4), and/or(5) so that they can be removed. with ease from the body of the forming polymer. The polymerization.; reactions can be carried out in the presence of an inert solvent, or in a neat form,. Preferred non-limiting examples of solvents are hydrocarbons, haJogenated hydrocarbons, and ethers.. The properties of the resulting polymers differ, depending OH the degree of polymerization and the stereochemistry of the monomers used in their synthesis. . The ester-ketal polymers of glycerol and levulinate comprising the unit of formula (6) are useful as polymeric plasticizers with various polymers. For 'example, these polymers are used for plasticizing PVC, polyesters such as PHA, PHB, and PLA, and polysaccharides such as acylated cellulose. For plasticization of these polymers,, the ester-ketal polymers of glycerol arc blended with unplasticized polymers typically at elevated temperatures, sufficient to melt or-soften the ingredient with the highest melting point, and preferably, under Inert, atmosphere (to minimize any decomposition of the polymer plasticized). Plasticization with these compounds can also be accomplished with the aid of a solvent that is typically removed after a homogeneous blend is obtained. Plasticized compositions may contain other additives such as stabilizers, inorganic and organic fillers, reinforcing fibers, pigments, dyes, and the like, Plasticized compositions comprising the polymers having ester-ketal repeat units of formula (6) can be cast or molded or extruded into films, fibers, tubing, pipes, and other objects of various shapes that are typically used to produce various consumer and industrial products from, other known plastieized compositions of PVC, PHA, PHB, PLA, and polysaccharides. Reaction of glycerol levulinate ketal compounds with epoxides of normal alpha- olefins In another embodiment, the compounds of formula (3) are reacted with epoxid.es. Preferably, the compounds of formula (3) are esters and not free acids or salts. The epoxides are epoxides of normal alpha-olefins (NAO) or epoxidized unsaturated fatty acid esters. The first set of reaction products can be formed fey the reaction of compounds of formula (3) and NAO epoxides. The resulting products have a formula (7): wherein R3 is a linear, branched, or cyclic alkyl or alkenyl, aryl, aralkyl, or alkyloxyalkyl, and one of R7 or R8 is hydrogen and the other Is a C6-C30 linear alkyl, Preferably, a C6-C14 linear alkyl. Compounds of formula (7) are prepared from the 1,2-epoxides of MAO having formula (8):. wherein R9 is a C6-C30 linear alkyl, and preferably, a C6-C30 linear alkyl The compounds of formula (8) are reacted with' the compounds of formula (3) in the presence of an acid catalyst, and optionally, an inert co-solvent Typically, catalysts for reacting epoxides with the compound of formula (3) include various acids that are known in the art. Such conditions are generally applicable to the reactions of the compound of formula (3) with Epoxidized unsaturated fatty acid esters.. Non-limiting examples of such catalysts include strong mineral acids, such as sulfuric, hydrochloric, hydrofluoroboric, hydrobromic acids, P-tolueiiesulfonic acid, camphorosulfonic acid,, metfaanesulfonic acid, and like, Various resins that contain psotonated sulfonic acid groups are also useful as .they can be easily recovered after completion of the reaction. Examples of acids also include Lewis acids.. For example, boron trifluoride and various complexes of BF3, exemplified by-BF3 diethyl etherate, are also useful. - Examples of other Lewis acids include anhydrous SnCl2, SnCl4, TiCl4, AlCl3, silica, acidic alumina, titania, zirconia, various acidic clays, mixed aluminum, or magnesium oxides, and the like. Activated carbon derivatives comprising mineral acid, sulfonic acid, or Lewis acid derivatives can also be used. The present disclosure is not limited to a specific catalyst or an amount of catalyst. One of ordinary skill in the art can practice many variations on the part of the catalyst composition and the amounts used in the preparation described herein. Elevated temperatures may be -used to accelerate the reaction with less reactive catalysts, however, the tempera toe of the reaction mixture is not critical for succeeding in making a quantity of the glyceryi ether product, as even with less active catalysts the reaction still proceeds to yield the desired compounds. Amount and type of catalyst depends on the specific chemical composition of the epoxide and of the compound of formula (3) used in the reaction, and can be readily established by one skilled in the art.' The reaction with epoxides can be carried out in the presence of an optional co-solvent that is inert under reaction conditions and is typically removed at the end of the reaction by distillation. Typically, it is desired to use a sufficient quantity of a co-solvent or a reactant, such as the compound of formula (3), to minimize cross- linking of the epoxides via ether bond formation. Non-limiting examples of suitable co-solvents include saturated hydrocarbons,-ethers, and polyethers. Typically, any excess solvent and un-reacted starting material are removed after completion of the reaction by distillation at normal or reduced pressure. It is also preferred to neutralize or otherwise remove the acid catalyst prior to distillation. Because the compounds of formula (3) are very good solvents for NAO epoxides, the reaction between epoxide and the glycerol derivative of formula (3} can also be conveniently conducted in the excess of the latter compound, typically at 2 to 20 times molar excess. When insufficient excess of the compound (3) is used, oligomeric polyether adducts of epoxide and the compound of formula (3) are formed. The compounds of formula (7) are further converted by saponification to the alkali or alkali-earth metal salts of the carboxylic acid having formula (7a). Saponlfication is typically carried out in water or water-alcohol mixtures in the presence of a sufficient amount of alkali or alkali-earth metal hydroxide or carbonate, and after removal of any excess of the compound of formula (3) and/or co-solvent, e.g. by distillation under reduced pressure. The salts of the compound of formula (7a) can, be stored and used in an aqueous solution, or, after evaporation of water and any volatile co-solvents, in a substantially anhydrous neat form. Reaction of glycerol levulinate ketal compounds with epoxides of unsaturated fatty acid esters Another set of compounds is provided herein by using reaction of the compound of formula (3)-with epoxides of unsaturated fatty acid esters. Preferably, the compounds of formula (3) are esters and not free acids or salts. These epoxides are prepared in the manner substantially similar to the above-described methods for making compounds of formula (7) from the NAO epoxides of formula (8). Unsaturated fatty acids mean linear monocarboxylic acids having from 10 to 24 carbon atoms and at least one double bond. The double bonds can be in any position, conjugated with each other or non-conjugated, but not in allenic arrangements, and any of the double bonds can be independently cis or trans. Preferably, unsaturated fatty acids have one to three double bonds. Fatty acids can also be composed of a mixture of various unsaturated and saturated fatty acids, for example, as in the triglycerides of various vegetable oils, fish oils, and palm oils. Esters of unsaturated fatty acids mean esters of the above-described fatty acids with monohydric or with polyhydric alcohols. Monohydric alcohols are linear or branched primary or secondary alkanols or alkoxyalkanols having from 1 to 12 carbon atoms. Preferred examples of alkanols are methanol, ethanol, propanol, isopropanol, butanol, secondary butanol, isobutanot, isoarayl alcohol, 2-ethylhexanol. Preferred alkoxyalkanols are primary or secondary alcohols having from 3 to 12 carbon atoms, wherein a linear, branched, or cyclic aikoxy group having from 1 to 8 carbon atoms is located at a vicinal position to the hydroxyl group. Such alkoxyalkanols are typically derived by opening an atkyl oxirane with an. alkanol Another suitable example of an atkoxyalkanol is tetrahydrofurfuryl alcohol readily accessible via hydrogenatton of furfural. The most preferred are morsobydric alcohols due to their availability, cost and'Satisfactory stability of their esters. Polyhydric alcohols are linear or branched polyhydroxylated alkanes having from i to 6 hydroxyl groups. Typical examples are ethylene glycol, propylene 1,2- and 1,3-diots, butylerse glycol isomers, glycerol, 1,2,4-trihydroxybutane, pentaerythritol, xylitol, ribitol, sorbitol, mannitol, and gaiactitol Polyhydric alcohols can optionally contain, one or more ether bonds, and suitable examples of such polyhydrie alcohols are isosorbide, sorbitane isomers, and diglycerol. It is preferred that substantially all hydroxy! groups of the polyhydrie alcohol are esterified with an tmsaturated fatty acid group. It is understood that in the industrial practice it may not be practical to achieve a Ml esterification. It is also understood that in -the industrial practice, where mixed fatty acid compositions are used, not all of the fatty acid groups can be unsaturated arid some fully saturated fatty acid groups can be present. In fact, it is cost-advantageous to use mixtures of unsaturated and saturated fatty acid esters such as present in triglycerid.es of typical vegetable oils (e.g. soybean oil, linseed oil, canola oil, safflower oil, sunflower oil, corn oil, castor oil, their blends and the like); It is preferred, however, that the mixed fatty acid esters contain predominantly unsaturated fatty acid esters. It is also preferred that a fatty acid .tester with a high content of mono-unsaturated fatty acid ester is used, such as compositions found in high oleic canola oil. Esters of 10- undecylenic acid are also preferred. Another preferred starting material is a mixture of methyl esters of fatty acids derived by trans-esterification of vegetable oils (e.g., of soybean oil, canola oil and other unsaturated triglycerides commonly used in the industrial production of various biodiesel fuels). Various unsaturated fatty acid esters can be optionally blended, mixed, partially hydrogenarated, or otherwise isomerized to change position or stereochemistry of the double bonds. Epoxidized unsaturated fatty acid ester means that at least one of the double bonds of the unsaturated fatty acid ester is oxidized to an epoxy group. Such oxidations are well known in the art and can be readily accomplished in an industrial scale, e.g., by using hydrogen peroxide and a carboxylic acid (e.g., formate or acetate), or by the balohydrin method. It is preferred however, that epoxidation. of a majority or all of the double bonds present in the unsaturated fatty acid ester is accomplished. It is understood that in practice, epoxidized fatty acid esters may contain various quantities of by-products arising from, hydrolysis or rearrangement of epoxides and from cross-linking of the fatty acid chains. Use of epoxidized fatty acid esters containing small quantities of epoxidation by-products and epoxide decomposition by-products is fully within the scope of the present disclosure, Ethers derived from epoxid.es of mono-unsaturated fatty acid esters and compound of formula (3) have formula (9); wherein R3 is a linear, branched, or- cyclic alkyl or alkenyl, aryl, aralkyl, or alkyloxyalkyl, one of A or B is H and the other is an esterified carboxyl, and n and m are integers each having values from 0 to 20, and the value of the sum of m+n is in the range.from 3 to 21. When bis-epoxides or tris-epoxides of unsamrated fatty acid esters having epoxy groups positioned in a close proximity to each other are used, an intramolecular epoxidc opening reaction takes place, resulting in the formation of one or more ether bonds each connecting two carbon atoms of the continuous fatty acid carbon chain. Typically, such ether bonds result in the formation of a tetrahydrofuran (major) and tetrahydropyran (minor) rings. Thereby forming complex, mixtures of the stereoisomers of oxygenated derivatives of unsauurated fatty acid esters comprising pendant ether groups derived from the compound of formula (3). For example, representative isomers of the such surfactant products from a bis epoxide derived from adi-unsaturated fatty acid having two double bonds separated by a methylene group have formulae (10a) and (10b): Compounds of formula (10a) and (10b) axe typically formed as mixtures that also comprise other adducts such as di(glycery1 levulinate keta!) ether adducts resulting from opening of each of the epoxy groups with a different molecule of the compound of formula (3), resulting in oxygenated fatty acid derivatives comprising two hydroxyl groups and two pendant ether (glyceryl levulinate ketal) groups. Preferably, the ether adducts of epoxidized fatty acid esters arc formed by the reaction of the compound of formula (3), in the presence of a catalyst, followed by the removal of any excess compound of formula (3) and any co-solvent by distillation, under reduced pressure: Alternatively, the adducts of epoxidized unsaturated fatty acid esters and compound of formula (3) can be prepared by treating epoxidized triglycerides with the compound of formula (3) in the presence of a catalyst. In such alternative embodiment, triglyceride polyol compounds are formed, These compounds have free secondary' hydroxyl groups and (glyceryl levulinate ketal ester) ether pendant groups attached to the fatty acid chains. Optionally, ether bonds may also be present in such adducts and the ether bonds can connect two carbon atoms of one fatty add chain (thereby forming a tetrahydrofuran or tetrahydropyran ring) or two different fatty acid chains. Such adducts of glycerol, or of a ketal/acetal protected glycerol, with the epoxidized triglycerides are typically prepared from known, in the art epoxidized soybean, oil, linseed oil, and the like. These'adducts are found herein to be useful to produce compounds of formulae (9), (10a)» and (10b) The conversion of the triglyceride adducts to the compounds of formulae (9), (10a), and (10b) can be accomplished by a trans-esterification reaction with a moeohydric alkanol in the presence of a catalytic amount of base. The non-limiting examples of syllable bases are hydroxides of alkali or alkali-earth metals or alkoxides of alkali metals and alkanols. The carboxyl group in the ether adducts of compound (3) and the hydroxylated fatty acid esters can be further subjected to saponification to furnish a salt (typically, alkali, alkali-earth, ammonium, or arninc salt of the dicarboxylic compounds having formulae (11), 12(a), and 12(b): wherein one of E or D is hydrogen and the other is carboxyl. Alternatively, the salt compounds of formulae (11), 12(a), and 12(b) are obtained by direct saponification of the adduct of the compound of formula (3) with epoxidized trig!ycerides. The carboxyl group of the compounds of formula (7 a), (13), 12(a), and 12(b) or of the compounds of formulae (7), (9), (10a), and (10b) can also be amidated with a primary or a secondary alkylamine or an aminoaicohol. The alkali metal salts, alkali-earth metal salts, amine or ammonium salts, and amides of the carboxylic acids of formulae (7a), (11), 12(a), and 12(b) are useful ionic mild surfactants that can be used in various formulations. The surfactants derived from the carboxyiic acids of formulae (7a), (11), 12(a), 12(b) are stable in cold and hot aqueous solutions in a broad range of pH (e.g., pH 4 to pH 13). 'Their surfactant, emulsifying, and micelle-forming properties are not negatively affected by the presence of alkali-earth metal ions in the solution. This makes them useful in formulations intended for use in hard water. These compounds of can be used alone or in various combinations with other surfactants, solvents., glycols, polyols, fragrances, colors,,biologically-active and inert additives, enzymes, and wetting agents that constitute the base compositions of preparations used in cleaning, dishwashing, laundry, cosmetic and personal care products, degreasing preparations, and the like. Effective concentrations for use of the surfactant compounds of coropoends derived from the carboxylic acids of the formulae (7a), (11), 12(a), and 12(b) depend on the intended use of the formulation and can be easily established empirically by one of ordinary skills in the art. The effective concentrations for these compotinds typically range from 0.001 % to 100% of the formulated product It has also been found that compounds of formulae (7), (9a), (10a), (10b), and the adduct of the compound of formula (3) with epoxidized triglycerid.es are also useful as plasticizers for .PVC, polyesters such as PHA, P.HB,. PLA, and polysaccharides. Co-polymers of glycerol levulinate ketals with other monomers In another embodiment, glycerol ketal monomers selected, from compounds having formulae (3), (4), (5) and (5a), and any stereoisomers thereof, can be used in the synthesis of co-polymers with a variety of other monomers known in the art. It has been foond that copolymers comprising the ketal repeat units of formula (1a) have a broad range of physical properties, and can be prepared through a condensation or trans-esterification reaction of the monomers of formulae (3), (4), (5), and (5a) with one or more compounds selected from various polyhydric alcohols, di and tri-carboxylic acids, hydroxyacids, and cyclic esters. Non-limiting examples of useful polyhydric alcohels include dihydric alcohols of linear or branched alkanes having from 2 to 20 carbon atoms, glycerol, diglycerol, isosorbide, sorbitol, xylitol, erythritol, pentaerythritol, trimethylolethane, trimethylol propane, diethylene glycol, neopentyl glycol, polyethers such as hydroxyl-terminated poly(ethyleneoxide), poly(propyleneoxide), and the like. Examples of suitable dicarboxylic acids include either free acids, lower alkyl esters, or anhydrides of succinicic acid, maleie acid, adipic acid, isomers of phthalic acids, trimellitic acid, citric acid,- itaconic acid, and isomers of naphthalene dicarboxylic acid. Examples of hydroxyacids and esters thereof can also be used as co- polymers, and can include lactic acid,, glyeolic acid, 3-hydroxypropionic acid, and 3-hydroxyalkanoic acids. Hydroxyacids can be further exemplified by hydroxylated derivatives of fatty acids and esters thereof, including triglycerides. Such hydroxylated fatty acid esters including polyhydric hydroxyl derivatives known in the art have been. obtained, for example, by reacting epoxidized fatty acid esters with one or more compounds haying a hydroxyl group, wherein one or more of the ox inane groups is subjected to an epoxide opening reaction. Suitable hydroxyacids can be further exemplified by hydroxylated aromatic carboxylic acids such as hydroxylated'benzole acids, toluic acids, naphthoic acids, cinnamic acids, ferralic acid, and the like. Lactide, glycolide, 1,4-dioxan-2~ones, alkylated 1,4-dioxan-2-ones, epsilon- caprolactone, and 1,4-d doxepan-2-ones are suitable non-limiting examples of cyclic esters. Among other suitable co-monomers for making co-polymers of glycerol lesvulinatc ketals comprising the repeating units of formula (1a) include compounds of formulae (7),(9), (10a), (10b), and also, compounds of formula (7b): wherein R3 is a linear, branched, or cyclic aikyi or alkeny], aryl, aralkyl, or alkyloxyalkyl, and one of R7 or R8 is H and the other Is hydrogen, or a C1-C30 linear alkyi. Compounds of formula (7b), compounds with linear alkyls of shorter than 6 carbon atoms can be prepared by reacting compounds of formula (3) with corresponding linear alkyl epoxides in a way substantially similar to that described above for the preparation of the compound (7). Conditions 'for the reaction of a compound of formula (3) with volatile epoxides such as propylene oxide and ethylene oxide, include conducting the reaction under pressure. Co-polymer preparation from the monomers of formulae (3), (4), (5), and (5a) and one or more compounds selected from polyhydric alcohols, di and tri- carboxylic acids, hydroxyacids, and cyclic esters can be accomplished by using one or more of the catalysts and conditions described above for the preparation of homopolymers comprising fee repeating unit of formula (la). The resulting co- polymers cart be terminated with either hydroxyls or esterified earboxyls. Polymers can be linear, branched, star-shaped, or cross-linked, and can be random co- polymers, block copolymers, graft copolymera, or any combination thereof. Of particular interest and utility are the hydroxyl terminated polymers and co-polymers comprising the repeating units of formula (la). Such compounds have been found to be useful for making polyurethane polymers with widely varying . properties, Many polyurethane polymers and methods of their preparation are known in the art. Polyurethane polymers are compounds of exceptional industrial utility; they find numerous applications because the final properties of the resulting polymer can be influenced greatly through selection of active hydrogen monomers (typically, polyhydroxyl compounds) and isocyanates used, and by selecting the conditions used to prepare the finished polymer products. Many of the polymers comprising the repeating unit of formula (6) are useful for making polyurethane polymers,. For use in polyurethane synthesis, a polymer comprising the repeating unit of formula (6) can be prepared in a hydroxyl- terminated form, wherein two or more hydroxyl groups are present on average per representative polymer structure. This is typically accomplished by carrying out the polymerization reaction with at least one monomer selected front the stereoisorners of compounds of formula (3), (4), (5), and (5a) in the presence a sufficient amount of a co-polymer polyhydric alcohol having two or more hydroxyl groups, so that polymerization product has preferably an average molecular weight in excess of 500 Da, more preferably, in excess of 1000 Da, and has two or more hydroxyl groups. The resulting polymerization product comprising the unit of formula (6) can be a linear, branched, cross-linked, or star-shaped polymer. One or more of such polymerization product comprising the unit of formula (6) can then be used as polyol compounds in a reaction with one or more isocyanate compounds having two or more isocyanate groups. Many suitable isocyanate compounds are known in the art of polyurethane synthesis. Non-limiting examples of isocyanate compounds include diisocyanate compounds such as tolylene diisocyamte isomers, hexarrsethytene diisocyanate, pentameihylene diisocyanate, isophorone diisocyanate, 4,4'-methyleebis(phenyl isocyanate), and the like. Further non-limiting examples of isocyanate compounds include poJyisocyanate compounds, and can be obtained by reacting one of the above diisocyanate compounds with a polyhydric alcohol or a polyhydric amine. Non-limiting examples of suitable polyisocyanatc compounds also include adducts of one or more diisocyanate compounds obtained by reacting one or more of the polyhydric products comprising the repeating unit of formula (6) under conditions sufficient to cause reaction between the hydroxyl group and an . isocyanate group.. It has been found that such polyisocyanate compounds can be obtained by mixing appropriate quantities of various aliphatic and/or aromatic diisocyanate-compounds with a polyhydric alcohol comprising the repeating units of formula (6), and causing reaction to occur by means of heating and/or with catalysts sufficient to accelerate the reaction. Non-limiting examples of typical catalysts suitable for making the polyisocyanate compounds include dibutyl tin dilaurate, 1,4- diazabicyclo[2.2.2]octane (DABCO™, TED), and the like, The .reaction of making a polyisocyanate compound from a polyhydric alcohol comprising the units of . formula (6) can be carried out in the presence of an inert solvent, which may optionally be removed at the end of the reaction by distillation. One or more of the polyhydric alcohols comprising a repeating unit of formula (6) can then be reacted with one or more isocyanate compounds having two or more isocyanate groaps per representative molecule, thereby providing for a polyurethane polymer comprising one ore more units of formula (6) per representative polymer molecule. Such reactions occur readily under conditions typically known to those in the art of palyurethane synthesis, and include use of one ore more catalysts known in the art and/or elevated temperatures. Non-limiting representative examples of typical catalysts include dibutyi tin diiaurate and DABCO. Elevated temperatures expedite formation of the desired polyurethane polymer, and typically, temperatures between 30 and 160°C are sufficient to commence and accelerate the reaction. The reaction can be conducted at temperatures outside of the specified range, however, at lower temperatures, the reactions may be quite slow, while at higher temperatures, side reactions and partial polymer decomposition may occur, in general, preparation of polyurethane polymers comprising repeat units of formula (6) is an exothermic reaction and is successful without additional heating. Synthesis of polyurethane polymer comprising units of formula (6) is preferably carried out under substantially anhydrous conditions. If small quantities of water are present, the product is typically a foam polymer comprising both urethane and urea linkages. If a foam polymer is desired, the reaction is carried out using one more inert propellant compounds known in the art. Various polyurethane polymers comprising units of formula (6) can thus be prepared and used to manufacture a plethora of polyurethane goods that in a way substantially similar to polyurethane polymers known in the art. Pol yurethane polymers comprising the units of formula (6) can be solid or viscous liquids, rigid or flexible, and they can be prepared as thermoset or thermoplastic polymers. Depending on the specific polymer composition, they can be cast, extruded, or otherwise shaped in a variety of forms needed to manufacture finished polymer goods. The polyurethane polymers comprising units of formula (6) can contain various additives known in the art, such organic or inorganic fillers, pigments, stabilizers, anti-oxidants, and lubricants The polyurethane polymers disclosed herein are made with use of low-cost renewable monomers to provide the predominant part of the weight of the resulting polymers, thereby offering a cost advantage when compared to the known in the ait polyurethanes made predominantly or exclusively with use of non-renewable petroleum- or coal-derived monomers. The polyurethane polymers comprising units of formula (6) are also recyclable at the monomer level. If so desired, at the end of their useful life, the polyurethane polymers comprising the units of formula (6) can be treated by a trans- esterification reaction, to allow for the decomposition of the polymers and the formation of one or more monomers of formulae (3), (4), (5), and (5a), which can be recovered, purified and re-used. EXAMPLES Example 1 36 g of levulinic acid of 98% purity, 28 g of glycerol of 99% purity, 0.08 ml of concentrated sulfuric acid, and 60 ml of n-beptane were stirred in a round bottom flask equipped with a Dean-Starks adapter. The whole was brought to reflux by means of heating in an oil bath, and was refluxed for approximately 36 hours or until about 11ml of water was collected in the trap of the adapter, The reaction mixture was neutralized by the addition of 0.2 g of calcium carbonate. The heptane was removed, and reaction mixture cooled, yielding approximately 53.2 g of a very viscous, pale-brownish, honey-like polymeric adduct that comprised compounds having structural repeating units of formula (1). Example 2 20,3 g of the polymeric adduct prepared in Example 1 was dissolved in SO nil of methanol containing 0.4 g of sodium methoxide. The resulting solution, was stirred at room temperature, allowing, for small quantities of. free glycerol to separate on the bottom and on the walls of the reaction flask. The solution was filtered through a fiberglass wool plug, neutralized by vigorous stirring for 30 min with 2 g of anhydrous potassium dihydrogen phosphate, diluted with 100 ml of methyl tert- butyl.ether (MTBE), and dried over anhydrous sodium sulfate. The solution was then filtered. MTBE and excess methanol were removed under reduce pressure, yielding 23.1 g of clear, slightly yellowish, practically odorless liquid that was analyzed by gas chromatography-mass spectrometry (GC-MS). The liquid was found to contain about 15% methyl levulinate and about 82% of the stereoisomers of the compound having formula (14): The stereoisomers o f the compound of formula (14) were detected as two partially' separable peaks "on the GC chromatogram having approximately similar integration areas. The peaks had the following representative mass-spectra: A mass-spectrum of the compound eluting with retention time of approximately 15.06 min; Example 3 5 g of the reaction product obtained in Example 1 were mixed with 20 ml of ethyl acetate and 0.2 g of potassium t-butoxide. The whole was stirred for about 45 min, and complete dissolution of the polymeric starting material was observed. The reaction mixture was neutralized by stirring with 2 g of anhydrous potassium dihydrogea phosphate for about 1 hr, dried over anhydrous sodium sulfate, filtered, and the excess ethyl acetate was evaporated under reduced pressure. The resulting oily, transparent, pale-yellowish liquid (6.2 g) was analyzed by GC-MS and was found to contain approximately 14% of ethyl levulinate, approximately 25% of hydroxyeshsr isomers of formula (16): Example 4 5 g of polymeric adduct prepared according to Example 1, and 0.2 g of potassium t-butoxide were stirred at 120-125 °C under vacuum (1mm, 2hr), artel about 1 ml of clear distillate was collected. The distillate was analyzed by GC-MS and was found to contain predominantly the Jaetone ketal of formula (5). The compound of formula (5) had a representative electron ionization mass-spectrum shown below: 10 ml of the hydroxyester of formula (14) obtained in Example 2 was heated with stirring under vacuum (6 mm, 80 aC, 4 hours) until ethyl levulinatc was substantially removed, as tested by GC-MS. The resulting liquid was mixed with 2 g of decene-1,2-oxide of 94%purity (Vicolox® 10 brand, Arkema Group), and a complete dissolution, of epoxide 'was observed at room temperature, 0,025 ml of boron trifluoride diethyl etherate was introduced into the stirred reaction mixture and an exothermic reaction, was observed with the temperature rising briefly to about 50 oC, The reaction mixture was stirred for 20 min and an aliquot was taken for GC-MS analysis. The analysis showed complete conversion of the epoxide to several stereo jsomers of the hydroxyester ketal compounds of formula (19a) and (9b). compounds (19a), (19b) (Example 7) or compounds (20a), (20b) (Example 8), 10 till of water was added to the resulting product mixtures, and the esters were ■ ■ saponified with slight excess of 0.1 N aqueous NaOH to give the corresponding sodium salts in aqueous solution. These solutions had emulsifying and surfactant properties that were not affected by the presence of 1 g/L calcium chloride or magnesium chloride. Example 9 Levulinic acid (98% purity, 697.3 g), glycerol (99% purity, 554,2 g), concentrated sulfuric acid (0.2Sg), and a stirring bar were placed in. a weighted 2- liter round-bottom evaporating flask, and the whole was set to rotate at 100 rpm on a rotary evaporator equipped with an efficient vertical condenser cooled/to 4 oC, and a vacuum was applied using a vacuum pump capable of providing an eventual vacuum of 6 mm. The flask was rotated and heated using an oil bath with an initial temperature setting of 80 °C. A rapid distillation of water was observed. After approximately 130 ml of water was collected in a receiving flask, the bath temperature was increased to 115 °C, and distillation of water was continued until the rate of distillation had decreased to approximately less than 1 mL per 15 min. The bath temperature than.was then, increased to 150 °C, and the reaction mixture was heated under a 0.2 mm vacuum for 1 hour. The reaction was then stopped, and the temperature of the reaction product was allowed to equilibrate to room temperature. The resulting polymerization product (1054.3 g) at room temperature was a. viscous, slightly brownish, sticky, syrup-like liquid, and was practically insoluble in cold water. The catalyst was then neutralized by adding 2 grams of dry sodium bicarbonate, and by stirring the content of the flask on a rotary evaporator at 100 °C for 2 hours, white a 6 mm vacuum was applied. The neutralized reaction product was allowed to coo! to room temperature, and any insoluble inorganic matter was allowed to settle. The resulting viscous liquid co-polymer was stored at room temperature, and was used in subsequent examples in a decanted or filtered form, . The resulting product was predominantly a polymer comprising the repeating unit of formula (1). Example 10 Levultnic acid (98% purity, 696.1 g), glycerol (99.5% purity, 607.5 g), concentrated sulfuric acid (1.0 g)7 and a stirring bar were placed in a weighted 2- liter round-bottom evaporating flask, and the whole was set to rotate at 100 rpm on a rotary evaporator equipped with an efficient vertical condenser cooled at 4 °C, and a vacuum was applied using a vacuum pump capable of providing an eventual vacuum of 6 ram. The flask was rotated and heated using an oil bath with an initial " temperature setting of 80 °C. A rapid distillation of water was observed. After approximately 110 ml of water was collected in a receiving flask, the bath temperature was increased to 110 °C, and distillation of wafer was continued until the rate of distillation had decreased to approximately less than 1 mL per 60 min (this took approximately 5 hours). The reaction was- then stopped, and the temperature of the reaction product was allowed to equilibrate to room temperature. The resulting-polymerization product (3 087 g) at room temperature was a viscous, practically colorless, sticky syrup-like liquid sparingly soluble in cold water. The resulting product was predominantly a polymer comprising the repeating unit of formula (1), Example 11 Levulinic acid (98% purity, 700.1 g), glycerol (99.0 % purity, 607,4 g), concentrated sulfuric acid (0,4 g), and a stirring bar were placed in a weighted 2- liter round-bottom evaporating flask, and the whole was set to rotate at 100 rpm on a rotary evaporator equipped with an efficient vertical condenser cooled at 4 °C, and a vacuum was applied using a vacuum pump capable of providing an eventual vacuum, of 6 mm. The flask was rotated and heated using an oil bath with an initial temperature setting of 80 °C. A rapid distillation of water was observed. After approximately 130 ml of water was collected in a receiving flask, the bath temperature was increased to 105 °C, and distillation of water was continued until it and practically subsided (approximately 6 hoars). The reaction was then stopped, and the temperature of the reaction product was allowed to equilibrate to room temperature.' The resulting polymerization product (1097 g) at room temperature was a viscous, practically colorless, sticky, syrup-like liquid sparingly soluble in cold water. The resulting product was predominantly a polymer comprising the repeating unit of formula (1). Example 12 A mixture 1.05 mol of triacetyl glycerol, 2.1 .mol of glycerol,. 1.96 mol of solketal, 2.65 mol of ethyl levulinate, 1.7 mol of levulinic acid, 0.4 mol of alpha- angelica Jactone and 0.2 .ml of concentrated sulfuric acid was mapietically stirred ■ and heated under nitrogen to 100-105 °C in a round bottom flask equipped with a water-cooled condenser. Distillation of a mixture of acetone, ethano), water,, acetic acid and ethyl acetate was observed. Heating with stirring was continued until the distillation alid practically subsided (about 16 hours). The resulting viscous, transparent, slightly yellowish liquid was poured into a 2 h evaporation flask, and the whole was heated on a rotary evaporator to 110-115 °C at a reduced pressure using a vacuum pump capable of providing an eventual vacuum of 6 mm. After distillation of the water and vplatiles has subsided (approximately 6 hours), the resulting viscous polymerization product (939 g) was cooled down to room temperature. The resulting product was predominantly a polymer comprising the repeating unit of formula (1).' Example 13 A mixture of 1.02 mol of glyceml, 2,95 mol of levulinic acid and 0,2 g of sulftiric acid was heated on a rotary evaporator to 80-90 °C at a reduced pressure a vacuum pump capable of providing an eventual vacuum of 6 ram, until distillation of water had practically subsided. The resulting product (385 g) was a mixture of ester products comprising predominantly trilevttliiioyl gjyccrol and 1,2-dilevulinoyl glycerol. Example 14 The synthesis was carried out according to Example 11, except that the starting reaction .mixture additionally contained 40.2 grams of a mixture of glyceryl esters prepared according to example .13. The resulting product (1139 g) was a glycerol-branched polymer comprising the repeating unit of formula (I), Example /5 The synthesis was carried, out according, to Example 14, except the added amount of ester prepared according to the Example 14 was 82.2 g. The resulting polymer (1226 g) was a glycerol-branched polymer comprising tfie repeating unit of formula (1). ■ ' Example 16 1021 g of the polymeric product comprising the repeating unit of formula (1) prepared according to Example 11 was slowly poured (over period of 1 hour) into a stirred reactor containing 1.2 liters of a methanolic solution containing 6 grams of sodium methoxide. After stirring at room temperature for S hours, the content of the reactor were collected., and the methanol was evaporated at reduced pressure using a rotary evaporator. The resulting yellowish-orange liquid was transferred to a separatory forme! and thoroughly mixed, with 0.8 L of tert-butyl methy! ether. The contents were allowed to stand for 4 hours and separate into two layers. The lower level containing primarily glycerol, sodium salt of compound (3), wherein R3 its H, and small quantities of sodium levulinate, was discarded,.and the upper layer was stripped of the tert-butyl methyl ether using a rotary evaporator. The resulting slightly yellowish liquid (992 g) was analyzed by GC-MS and was found to contain approximately 12% of methyl levulinate, approximately 80% of the compound of formula (3), wherein R3 is methyl, as a mixture of approximately equal amounts of cis- arid trans-isomers, and small quantities of the compound of formula (5) and stereoisomers of compounds having formulae (21) and (22) (ca, 1 % each): The resulting mixture of stereoisomers of compound of formula (3) was further purified by removal of methyl levulinate at a reduced pressure, and then further purified by distillation using a falling film column under 0.5-1 millibar vacuum and a temperature set at 130 °C. The residual undistiiled compounds 21 and 22 were collected and treated with methanol containing 0.2% sodium methoxide, to yield a 20:80 mixture of methyl levullnate and the compound of formula (3). Example 17 The reaction was carried! out. according to Example 16, except that ethanol was used in the reaction instead of methane!, and the starting polymeric product (732 g) was prepared according to Example 12, The resulting product was analyzed by GC-MS and was found to contain approximately 9% of ethyl levulinate and 88% of the compound of formula (3), wherein R3 is methyl, as a mix tare of approximately equal amounts of cis- and trans- isomers. The compound of formula (3) was then further purified hy distilling out ethyl levulinate at a reduced pressure. Example 18 301,2 g of the polymer prepared according to Example 9 were stirred with 500 ml of n-butanol containing 6 grams of sodium hydroxide at room temperature for 24 hours. The resulting transparent yellowish solution was stripped of excess n- butanol on a rotary evaporator "under reduced pressure, and the whole was mixed with 600 ml of n-heptane in a separatory funnel The lower layer, containing . primarily glycerol and sodium levulinate and the sodium salt of the compound of formula (3), wherein R3 is B, was-discarded, and the upper layer was filtered through a paper towel. The resulting practically colorless filtrate was stripped of heptane on a rotary evaporator, to yield a clear colorless liquid (385 g) that was analyzed by GC-MS. The liquid was found to contain approximately 24% butyl' levulfinate and approximately 73% of a 1:1 mixture of cis- and trans-isomers of the compound, of formula (3), wherein R3 is n-butyt The compound (3) was then further purified by distilling out butyi Jevulinate at a reduced pressure. Example 19-23 5 grams of a, 1.2:1 cis-trans Isomer mixture of the compound of formula (3), prepared according lo Example 16 , wherein R3 is methyl, (96% pure, purified by distillation) were dissolved in 20 ml of each of the following: (19) absolute ethanol with approximately 0.2% w/w sodium ethoxide, (20) anhydrous n-butano) with approximately 0.2% w/w sodium n-botoxide, (21) anhydrous isobutanol with approximately 0.4% sodium isobutoxide, (22)anhydrous isoansyl alcohol with 0.3% sodium 3-methyl butoxidc, (23) 2-ethylhexyl alcohol with 0.3% sodium 2-ethylhexoxid.e. The solutions were stirred for 12 hrs by means of magnetic stirring at room temperature (26 °C), Progression of the trans-esterification reaction was monitored by analyzing small aliquots of the reaction mixtwes by GC-MS. Formation of esters of formula (3) was observed, wherein R3 is ethyl (Example 19) n-butyl (Example 20), isobutyl (Example 21), isoamyl (Example 22), and 2-ethylhexyl (Example 23). The reaction did not result in any significant change of the cis/trans isomer ratio. After trans-esterification was complete the reaction mixtures were neutralized by stirring for 8 hours with finely powdered potassium dihydrogen phosphate, and filtered. Excess alcohol was distilled from each sample under reduced pressure, thereby yielding the compounds of formula (3) in heat form as a beaker and was allowed to cool. The polymeric product formed was a viscoelastic thermoplastic teal-ester polymer comprising repeating units of formula (6) with a melting point to .65-70 oC; it had a considerable brown discoloration. Example 26 The polymer synthesis was carried out according to- Example 25, except 0.08 g of titanium (IV) isopropoxide was used instead of sodium metboxide, and the reaction was carried out at 220-240 °C for 3 hours. The content of the flask became viscous. A small polymer specimen, was drawn front the flask, cooled and triturated with t-butyl methyl ether to determine the presence of starting monomer and any oligomers by GC-MS analysis. The polymer was practically insoluble in this solvent. The solvent extract was found to contain small quantities of compounds (5), (5a), (21), and a trace of the stereoisomers of acyclic oligomers of formula (23): wherein t is an integer having value from 2 to. 4, and R1 is methyl. . Next,, a 6 ram vacuum was applied, and the temperature was raised to 260- 280 °C for about 1 hoar. The,-reaction mixture was allowed, to cool to about 140 °C under vacuum, and then about 24 grams of the molten.-polymer was poured out of the flask into a beaker. The resulting product was a transparent, practically colorless, viscoelastic thermoplastic polymer comprising repeating units of formula (6), The polymer had a melting point in the range of 70-75 °C- The polymer remaining in the flask (15 g) was used in the subsequent examples.- . Example 27 ... . Example 27A The polymer synthesis was carried out according to Example 25, except that 46 g of the compound of formula (3) having a cis/trans isomer ratio of 12:88 was used. The resulting product (36 g) was a transparent, practically colorless, viscoelastic, thermoplastic polymer comprising repeating units of formula (6). It had a melting point in the range of 85-90 °C, Example 27B ' ' The polymer synthesis was-carried out according to Example 25, except that ; 41 g of the compound of formula (3) having a cis/trans isomer ratio of 92:8. The resulting product (29 g) was a transparent, practically colorless, viscodastic, thermoplastic polymer comprising repeating units of formula (6). It. "had a melting point in the range of 90-95 °C. Example 28 The polymer synthesis was carried out according to Example 25, except that 44 g of the compound of formula (3) having a cis/trans isomer ratio of 52:48, wherein R3 is n-btttyl was used. The resulting, product (26 g) was a transparent practically colorless viscoelastlc thermoplastic polymer comprising repeating units of formula (6), It had. a melting: point in the range of 72-77 oC. Example 29 15 g of the polymer prepared in Example 24 were heated in a round bottom, flask equipped with a magnetic stirrer, a short-path distillation head, and a receiving Mask in an oil bath maintained at 280-300 °C under vacuum using a pump capable of providing art eventual vacuum, of 0,08 mm. A distillation of clear transparent liquid was observed, and approximately 6.2 g of distillate was collected la the receiving flask cooled by means of an ice hath. The liquid was analyzed by GC-MS and was found to contain approximately 62% of the compound of formula (5) and approximately 34% of the compound of formula (5a). The compound of formula (5a) had a representative electron ionization mass-spectrum shown below: The polymer remaining in the flask was trans-esterified with 20 ml of methanol containing 0.2% of sodium methoxide. The methanolic solution was analyzed by GC-MS were found to contain a 98% pure sample of the compound of formula (3), R3-CH3, with the ratio of cis-trans- isomers of approximately 22:78, Example 30 130.6 g of polymer repeating units of formula (6) prepared according to conditions described in Example 25 were placed in a round-bottom flask and 0,3 g of tin (II) 2-ethylhexanoate catalyst, were added. The flasks was equipped, with-a magnetic stirrer, parged with nitrogen, and was heated to approximately 160 oC to melt the content and dissolve the catalyst. Vacuum was applied using a pump capable of providing an eventual vacuum of 0.1 mm, and the temperature of the flask -was Increased to approximately 280-300 °C, Distillation of a clear, slightly yellowish liquid was observed, and the distillate (58 g) was collected in a receiving flask cooled by means of ice bath. Tbe distillate was cooled and analyzed by GC-MS and was found to contain approximately 57% of the compound of formula (5a) and 40% of the compound of formula (5a). 46 grams of the resulting mixture of compounds were separated by distillation under reduced pressure using a Kugelrohr-type apparatus providing a fraction containing 22 grams of 96% pure compound of formula, (5), and a fraction containing 14 grams of 94% pure compound of formula (5a), Both compounds were obtained as colorless practically odorless liquids that-solidified to waxy solids on prolonged standing, The polymer remaining in the flask was trans-esterified with mcthanol containing 0.2% of sodium methoxide. The methartolic solution was analyzed by GC-MS and were found to contain, a 96% pure the compound of formula (3), R3-CH3, with the ratio of cis-trans isomers of approximately 1.9:81. Examples 31-32 2 grams of one of the compound of formula (S) or the compound of formula (5a) were each dissolved in 10 ΜL of methanol containing 0. S% sodium methoxide, and. the solution was stirred for 20 min at room temperature. The resulting solutions were each analyzed by GC-MS and were found to contain a practically pure (over 99%) cis- isomer of the compound of formula (3b), R3=CH3. Example 33 8.6 grams of the compound of formula (5) prepared according to Example 30 and 0.03 g of tin (II) Z-ethylfeexanoate were heated to 180-220 °C, with stirring under nitrogen. The content of the .reaction mixture had become viscous, and after 45 min the .reaction was stopped, and the content of the flask was cooled to room temperature. The resulting product was a polymer (8,3 g) comprising repeating units of formula (6) predominantly having a cis configuration. The polymer was a transparent, practically colorless, viscoelastic, thermoplastic polymer, with a melting temperature in the range of 95-100 °C. Examples 34-49 . ' Linear and branched co-polymers comprising repeating units of formula (6) and having two or more ends of the polymer chains terminated with hydroxy] groups were prepared by co-polymerizing 0.1 mol of 99.4% pure compound of formula (3) (R3=CH3, 51:49 mixture of cis/trans isomers) and one of the following: (34) 0.011 mol of 1,1,1-tris(hydroxymethyl)ethane, (35) 0.006 moJ of 1,1,1 -tris(hydroxymethyl)ethane, (36) 0.010 mol of 1,1 1-tris(hydroxymethyl)propane, (37) 0.008 mo) of pentaerythritol,. (39) 0.006 mol of glycerol, (40) 0,002 mol of sorbitol, (41) 0.003 mol of xylito], (42) 0.006 mol of erythritol, (43) 0.09 molof 1,4-butane diol (44) 0.012 mol of diethylene glycol, (45) 0.013 mol of 1,3-propanediol, (46) 0.015 mol of neopentyl glycol (47) 0.02 mol of polyethylene glycol of average mol. weight of 1,200 Da, (4$) same as Example. 34, plus 0.001 mol of dimethyl adipate, (49) same as Example 37, plus 0.002 mol of dimethyl terephthalate. The polymerisation reactions were carried out in round bottom flasks equipped with a vertical condenser and a distillation head with side arm attached to a receiving flask. All reactions were carried out in the presence of titanium isopropylsle (50 mg) as a catalyst, under nitrogen, by stirring, and Wealing the reaction mixtures in an oil bath maintained at 220-230 oC for about 3 hours (until distillation of methanol practically subsided). After that, the bath temperature was reduced to about 160 °C, and the reaction mixtures were stirred for 1 hr under vacuum using a pump capable of providing an eventual vacuum of 6 mm. The resulting viscous, transparent, practically colorless liquids were cooled to room temperature and stored for subsequent use. The amounts of polymers obtained were commensurate with the calculated (theoretical) loss of methanol and no more than an additional 4% weight loss. The prepared, polymers were very viscous liquids at room temperatures.. The resulting polymers were linear co-polymers (Examples 43-47) or branched co-polymers (Examples 34-42,48, and 49). The co-polymers comprising repeating units of formula (6) had two or more ends of the polymer chains terminated with hydroxyl groups. Example 50 10-1 grams of polymer comprising repeating units of formula (I), prepared according to Example 9,3.0 grams of isophorone disocyanate, artel 0.032 grams of dibutyi tin dilaurate were thoroughly mixed together in a dry box, using a glass stirring rod, at room temperature. The viscosity of the resulting solution gradually increased. The reaction mixture was then heated to 130 °C for 30 min, with occasional stirring using a glass stirring rod, and formation of a viscous thermoplastic, practically colorless, transparent polymer was observed. The resulting polymer mass was then cooled to room temperature and solidified. The resulting polyurethane polymer comprising repeating units of formula (1) was a rigid practically transparent polymer with weak cold flow properties. At temperatures below 15 °C, it was brittle. The polymer had a melting point in 90-95 °C range and was amenable to melt processing and extrusion. No significant deterioration in polymer properties were observed after 4 melt/cool cycles. The polymer was insoluble in water and practically insoluble in the ordinary organic solvents such as hydrocarbons, ethers, or alcohols. Example 51 The synthesis was carried out according to Example 50, except that the quantity of isophorone diisocyanate was increased to 1.78 g. -. The resulting polymer at room temperature was a viscous transparent, adhesive-like thermoplastic product with good adhesion properties to paper, aluminum foil and low-energy surfaces such as polyethylene and polypropylene. The polymer was practically insoluble in water. Example 52 The synthesis of polyurethane polymer was carried out according to Example 50, except that 1,42 g of hexamethyleae 1,6-dtisocyanate was used instead of isopborone diisocyanate- The resulting hot polymer was allowed to cool to room temperature, and to stay in open air for 24 hours. The product obtained by such.a method was a flexible foam, it was a fully cured polyurethane polymer comprising repeating units of formula (I), and its properties did not change considerably over time. The polyurethane polymer was a practically colorless (off-white) thermoset polymer, and it could not be successfully re-processed by melt extrusion. The product was practically insoluble in water and in ordinary organic solvents such as hydrocarbons, ethers, or alcohols. Example 53 The synthesis of polyurethane polymer was carried out according to Example 52, except that 1.46 g of tolyiene diisocyanate (S0;20 isomer mixture ) was used instead of isophorone diisoeyanate. The product was a rigid foam. It was a folly cured polyurethane polymer comprising repeating units of formula (1), and its properties did not change considerably over time. The polyurethane polymer was a yellowish thermoset polymer, which could not be successfully re-propessed by melt extrusion. The product was practically insoluble in water and in ordinary organic solvents such as hydrocarbons, ethers, or alcohols. Example 53 The synthesis of polyurethane polymer was carried out according to the Example 52, except that 2.28. g of 4,4'-methylenebis(phenyl isocyanate) was used instead of tolylene diisocyanate. The product was a rigid foam similar in its properties and appearance to the product obtained in Example 52. Example 54 7.02 grams of the branched hydroxyl terminated polymer prepared according to Example 34,2.03 grams of hexamethylene 1,6-diisocyanate, and 0.03 g of DABCO were thoroughly mixed in a glass via! placed in a dry box. A rapid exothermic reaction was observed with the temperature of the reaction mixture briefly rising to 95-100 °C, The content of the reaction mixture rapidly solidified (in Jess than 4 minutes) to a transparent, slightly brownish product laving practically no inclusions of gas bubbles. The resulting polyurethane polymer comprising fragments of formula (6) was cooled down and retrieved from the vial by breaking the vial. The resulting polyurethane polymer was a highly cross-linked, viscoelastic polymer with .memory properties.. The resulting polymer was practically insoluble in water and in ordinary organic solvents such as hydrocarbons, ethers, or alcohols. The product was a chermoset polymer and it could not be re-- processed by melt extrusion without deterioration in polymer properties. Example 55 The synthesis was carried out. according to Example 54, except that the 7,08 g of a branched, hydroxyl-terminated polymer was used as a starting material, and was prepared according to the. Example 48. The resulting polyurethane was very similar to the polymer obtained in Example 54, except it was a considerably more rigid .rubbery polymer. Example 56, 5.8 g of 94% pure decene-1,2--oxide.were dissolved in 20,8 g of compound of formula (3) (R3 = methyl, 99.5% purity, 51:49 cis/trans isomer mixture). The whole was stirred at room temperature, and 0,08 g of boron trifluoride diethyl etherate was introduced,. An exothermic reaction was observed. The whole was stirred for 1 hour, and the reaction mixture was allowed to cool to room temperature. The liquid was analyzed by GC-MS and was found to contain a mixture of isomers of compounds of the compounds of formula (7), wherein one R7 is n-optyl and R8 is hydrogen, and R7 is hydrogen and R8 is n-octyl. Examples S7~64 The reactions of Examples 56 were repeated using different epoxides., as follows: (5?) octadecene-1,2-oxide 8.1' g, (58) hexadecene-1,2~oxide 8.2 g, (59) tetradecene-1,2-oxide 5,2 g, (60) dodecene-1,2-oxide 5,6 g, (61) hex ane-1,2-exide 4.6 g, (62) butane-1,2-oxide 4.8 g, (63) propylene-1,2-oxicle 3.6 g, .{64) ethylene oxide 2.2 g. The reactions of Examples 63 mid 64 were carried out in pressurized glass vessels, while the other reactions were carried out at. atmospheric pressure. The reaction mixtures were analyzed by GC-MS and were found to contain compounds of formula (7) with combinations of R7 and R8 corresponding to the chain lengths of the starting epoxides, a«d the unreacted compound of formula (3). Examples 65-73 10 g of each of the reaction mixtures obtained in Examples 56-64 were placed in round bottom flasks equipped with a magnetic stirrer, a condenser, and a distillation head with an adapter connected to a receiving flask. 0.08 g of titanium (IV) isopropoxide and 0,5 g of trimethylol propane was added to each of the flasks, and the solutions were heated under nitrogen using an oil bath set at 200-220 oC. After distillation of methanol had practically subsided (about 3 hours), the bath temperature was decreased to 140-160 °C, and the stiring was continued for 1 hour under vactrum using a pump capable of providing an eventual vacuum of 6 mm. A weight loss was observed that was commensurate with the theoretical loss of methanol due to a complete hydroxyester polymerization, as measured by the weight of the resulting polymer products. An additional weight loss was also observed, commensurate with presence of inert volatile impurities in the starting epoxides used in Examples 56-64. The resulting polymeric products were cooled to room temperature, purged with nitrogen and stored at room temperature. The polymeric products were highly viscous colorless or slightly yellowish transparent or semi-transparent liquids at room temperature. The polymeric products were branched hydroxyl-teraainated random co-polymers comprising repeating units of formula (6) and repeating units of formula (24); The co-polymeric hydroxyl-tentiinated compounds prepared in this example were found to be suitable for making rigid and flexible polyurethanes trader conditions substantially similar to those described in Examples 50-55. Example 74 The reaction was carried out according to Example 56, except that the epoxide used was 10.2 g of a fully epoxidized soybean oil (Vicoflex® 7170, Arkema). Example 75 506.2 grams of a fully epoxidised soybean oil (Vicoflex 7170 brand, Arkema) were mixed with 1 L of anhydrous methanolic solution containing 2,1 g of sodium methoxide, and the resulting mixture was magnetically stirred at room temperature (18 °C) for 6 hours. The progression of trans-esterification over time was followed by gas chrowatography. After the trans-esterification reaction was found to he substantially complete, the reaction mixture was neutralized by the addition of 12.S grams of finely powdered anhydrous potassium dihydrogen , phosphate, followed by an additional stirring overnight (12 hours). The resulting mixture was filtered and the methanol was evaporated under reduced pressure using a rotary evaporator with a water bath set to 40 °C. The resulting oil was dissolved in 1 L of hexanes, filtered, and the hexanes were removed under reduced pressure using a rotary evaporator. A clear transparent product with weak oily odor (485 g) was thereby obtained and was analyzed by .GC-MS. When -using a TIC integration method, the oil.was {bund to contain approximately 9% methyl hexadecanoate, 5% methyl octadecanoate, 42% methyl 9,10-epoxy-9~octadecenaate, 40% isomers of methyl 9,10,-12,13-bisepoxy-9,12-octadecenoate, and small quantities of the esters of other saturated and epoxtdized unsaturated fatty acids. Example 76 The synthesis was carried out according to Example 56, except that the epoxide used was S.2 g of the mixture of epoxidized unsaturated fatty acid esters prepared according to Example 75. The reaction mixture was analyzed by GC-MS and was found to comprise reaction products having Formulae (9), (10a), (10b), unreacted the compound of formula {3}» and the rnethyl.esters of hexadecanoic and octadecanoic acid in quantities commensurate to their amounts in the starting material. Example 77 0.4 g of the reaction product mixture obtained in Example 74 was trans- esterified by dissolving it in 4 ml of methanof containing 0,5% sodium methoxide, and the whole was stirred for 4 hr at room temperature. The reaction mixture was neutralized by stirring with powdered 0.32 g of anhydrous potassium dihydrogen phosphate for 1 hour, filtered and analyzed by GC-MS. The product mixture was found to/be practically identical to the that obtained in Example 76. Examples 78-79 10 g of one of the reaction product mixtures obtained in Examples 74 or 76 were treated according to the conditions of Examples 65-73. The resulting product was a cross-liked co-polymer containing repeating units of formula (I.) and fragments derived from the modified fatty acid ester derivatives of formulae (9), (10a),, and (10b). The resulting polymers were rubbery transparent thermoset elastomers with moderate yellow-orange discoloration. The polymers were practically insoluble in water, acetone, methylethylketone, hydrocarbons, ethers, and esters. Approximately 0,2 g of each of the polymers obtained in this- Example were de-polymerized by treatment according to the conditions -described in Example 77. The GC-MS analysis of the resulting mixture of de-polymerized products showed that the mixture had a substantially similar composition to that observed in Examples 76 and 77, with the exception of the content of the methyl esters of hexadecanoie and octadecanote acid, which' was less than 2%. Example 80 (a) The reaction was carried out according to Example 74 on a 5,4 fold scale, Powdered sodium fluoride (1 g) was added to neutralize the catalyst, and the whole was stirred for 18 hours at room temperature and filtered. The excess of compound (3) distilled out at reduced pressure to give approximately 81 g of a modified triglyceride adduct having approximately 4.6 hydroxyl groups per molecule of triglyceride (a free-flowing transparent viscous liquid with moderate yellow-orange discoloration). (b) 20.1 grains of this product were thoroughly mixed with 3.2 grams of hexamethylcne-1,6-diisocyanate and 50 mg of dibutyl tin dilaurate, and the mixture was cured for 1 hour at 105 °C. The resulting polyurethane polymer was a closed- cell, flexible, soft, fully cured yellow foam (thermoset polymer). Example 81 (a) The modified triglyceride synthesis was carried out according to Example 80, except that addition of sodium fluoride was omitted. The resulting product was a partially cross-linked adduct with molecular weight of approximately 4500 Da. (b) 19.3 grams of this product was thoroughly mixed with 13 grams of hexamethylene-1,6-diisoeyanate and 50 mg of dibutyl tin dilaurate, and the mixture was cured for 1 hour at 105 °C. The resulting polyurethane polymer was a closed- cell, flexible, soft, yellow, fully-cured foam (a thermoset polymer) with properties very similar to those obtained in Example 80. Examples 82-83 The polyurethane foams obtained in Examples 80 and 81 were depolymerized according to Example 77. The resulting product mixture was found to be substantially similar to those observed in Examples 76 and 77, with the exception of the presence of the compound of formula (3) which was present in the products of the present Examples only in small quantities (2-3)%. Example 84 5.1 g of branched hydroxy-terminated co-polymer prepared according to Example 36 were dissolved in 8 g of tolylene diisocyanate (80:20 isomer mixture), and 0,02 g of dibutyl tin dilaurate was added. The whole was heated with vigorous stirring to 85-90 °C under nitrogen, and the excess tolylene diisocyanate was evaporated under reduced pressure. The resulting polymeric product (7.3 g) is an isocyanate-terminated branched polymer (a polyisocyanate) comprising repeating units of formula (6). The product was a viscous yellowish transparent liquid. Examples 85-86 The .synthesis of polyurethane foams was carried out according to Examples - 80 and 81, except that the synthesis was carried out with, 2.6 g of the polyisocyanate polymer obtained in Example 84, instead of hexamethylene diisocyanate. The resulting polyurethane foams were similar in their properties to the foams obtained in Examples 80 and 81, except they were more rigid. Examples 87-88 One of the following; (Example 87) 15,6 grams of the modified triglyceride prepared according to Example 80(a), or (Example 88} 15.1 p-ams of the fatty estsr adduct prepared according to Example 76, followed by distillation of excess compound of formula (3), was reftuxed in 100 ml of methanol containing 0,05% of p-tohiene sulfonic acid, to effect a trans-esterification reaction. The solution was monitored, by GC-MS for appearance of methyl levulinate and methyl 4,4-methoxypentanoate. After the reaction was deemed complete (about 6 hours), both solutions were neutralized with 100 mg of sodium bicarbonate, filtered, and stripped of methanol under reduced pressure, to give a mixture of 1 -glyceryl ether modified fatty acid esters (as oily liquids). The glyceryl ether adducts were then mixed with 0.2 g of titanium isopropylate and heated to 95-100 °C tinder 6 mm vacuum, with stirring, until the content had become viscous (about 3 tare), to give highly branched or crosslinked polyester-polyetber compounds having molecular weights of approximately 3,500 Da. 5 gram portions of each of the resulting cross-linked polymers were mixed with. 0.5 ml of methylethyiketone and 0.3 grams of tolylene diisocyamate, and 0.01 g of dibutyl tin dilaurate was added. The mixtures were each stirred thoroughly and placed in a vacuum oven set at 100 eC, incubated at atmospheric pressure for about 15 mm, and then a vacuum was applied using a pump capable of providing an eventual 6 mm vacuum. The reaction mixtures were then left at 6 mm vacuum at 100 °C for 2 tars, and then cooled down and brought to atmospheric pressure. The resulting polyurethanes were propellant-expandsd, semi-rigid foams with density of about 0.22 g per cm3. Example 89 30 grams of a cellulose acetate polymer with 39.8% acetyl content and Mn ca. 30,000 (Sigma-Aldrich Cat No. 18,095-5) were mixed with 50 grams of the compound of formula (3) (R3=methyl, 99.5% purity, 51/49 cm/trans mixture of isomers), and 0.2 grams of titanium isopropylate was added. The whole was stirred and heated to 160-180 °C for 6 hours under nitrogen at atmospheric pressure, and thai under 1 ram vacuum, to remove any unreacted compound of formula (3). The resulting polymer (42g) was a water-insoluble polyhydroxylated graft polymer with a cellulose polymer backbone and pendant groups comprising repeating units of formula (6), the polymer was a transparent agar-like gel practically insoluble in water. Example 90 Reaction product mixtures comprising epoxide adducts prepared in Examples 56-67 and 76 were each stripped of the excess of hydroxyester compound of formula (3) by distillation under reduced pressure. 3.2-3.3 grams of each of the resulting products were saponified with 10 ml of 1M sodium hydroxide by vigorous stirring for 2 hrs at 85-90 °C. Excess base was neutralized by titration with aqueous hydrochloric acid to pH 8-9, and the solutions were diluted with water to a final volume of 15 ml. The solutions of sodium salts of the saponified adducts of the compound of formula (3) with the various epoxides were then examined for their surfactant properties using a 1:1 hexane-water emulsion forming test, and by evaluating the stability of such emulsions in-the presence and in the absence of calcium or magnesium ions (final concentrations of 1% CaCl2 or 1% MgCl2 were used in the emulsion tests). In addition the saponified compounds were also tested in hexane-water emulsion tests at pH 3, and non-saponified compounds were also tested for their surfactant properties at pH 7. All emulsion tests were performed at room temperature. Salts of the compounds obtained by saponification of the epoxide adducts of Example 76 and of Examples 56-60 were found to be good surfactants capable of forming and supporting stable hexane-water emulsions, and their surfactant properties were not adversely affected by the presence of calcium or magnesium ions. At acidic pH, the properties of the compounds Example 76 and Examples 56- 60 were also found satisfactory. Non-saponified compounds.of Examples 56-60 were found to be "water-in-oil" type emulsifiers. Example 91 Plasticized polymer compositions and various blends of the polymeric compounds comprising fragment of formula (6) were prepared by a melt mixing and extrusion method, using one of the following polymers: (a) PVC, poly(vinylchloride) powder (average Mn ca. 55,000, average Mw 97,000, inherent viscosity 0.92, relative viscosity 2.23, supplier Sigma-Aldrich Company, Cat. No. 34,677-2), (b) PHB, poly(3-hydroxybutyrate), (natural origin, Tm 72 oC, supplied by Sigma-Aldrich Cat. No, 36,3S0-2),. (c) AC, a cellulose acetate polymer with 39,8% acetyl content and Mn ca, 30,000 (Sigma-Aldrich Cat. No, 18,095-5), (d) PLA (L-polylactide, inherent viscosity 0,90-1.20, Average Mw 10,000-150,000, Tg 48.5 °C, Supplied by Sigma-Aldrich Company, Cat. No. 53, 117-0). Plasticized and blended compositions were prepared at a 5 g scale by prc- mixing cold ingredients. Each of the resulting mixtures were individually fed into a pre-cleaned, miniature twin-screw mixer-extruder chamber of a Daca Microcompounder (Daca Instruments) under nitrogen, with the mixing chamber heated to 5-10 °C above the melting temperature of the component with the highest melting point, and the motor speed was set to 100 rpm. The samples were mixed for about 5 minutes, and the resulting melt was then extruded out of the mixing chamber as a flexible rod (diameter 3 mm), which was immediately cooled to room temperature in ambient air. The plastlcizers and the polymer blends were tested at several concentrations including at least one compound of the present disclosure at 5,10,25, and 50% by weight of the resulting composition. Glass transition temperature data (by differential scanning calorimetry), and plasticizer exudation data were collected using plasticized specimens cut from the extruded rods that have shown a satisfactory compatibility and acceptably low levels of exudation of the polymer composition components. Polymer Wends comprising one of PHB, PLA, .and AC. were .found compatible in a broad concentration range with the polymeric compounds prepared in Examples 26-28,33, 50,? 51 / 65.-73, 89. "Such blends were significantly plasticized, as displayed by significantly lowered glass transition points in comparison with non-plasticized PHB, PLA, and AC The same compounds were also found to have limited compatibility with FVC (up to 10%), reducing the glass transition point of the plasticized PVC by about 15-30 °C. PHB, PLA, AC polymers were also successfully plasticized with compounds prepared in Examples 34-49, as well as with the compound of formula (5); (5a), and with the compound of formula (3) and (4), except cases wherein R3 was H. Among the compounds tested, the PVC polymer was most successfully plasticized with compounds prepared according to Examples 80{a), 81 (a), 57-61, 76 (after removal of excess of compound 3 by distillation), compounds of formula 5a, and compounds of formula (3) and (4), wherein both R3 and R6 were C4-C8 linear or branched alkyls. Example 92 2.1 grams of the polyurethane polymer comprising repeating unite of formula (6) obtained in Example 52 were stirred at room temperature in 15 ml of absolute ethanol containing 0.5*8% of sodium ethoxide until complete dissolution was observed (about 5 hours).. The resulting solution was neutralized by stirring for 1 hour with powdered potassium dihydrogen phosphate, and the ethanol was distilled out under reduced pressure. The residue was dissolved in tert-butyl methyl, ether and filtered. The filtrate was analyzed by GC-MS and was found to contain 95% pure compound of formula (3) (R3=Et, cis/irans isomer mixture). The tert-butyl methyl ether was evaporated under reduced pressure, yielding about 1.52 g of the neat compound of formula (3) Example 93 The reaction was carried out according to Example 92, except the polyurethane polymer was 23 grams of the polymer prepared in Example 54, and n- butanol with 0.3% of sodium n-butoxide was used. The resulting neat monomer (1.78 g) was a 97% pure compound of formula (3) (R3=n-Bw, cis/trans isomer mixture), A number of embodiments of the disclosure have been described. Nevertheless, it will be understood that various modifications maybe made without departing from, the spirit and scope of the disclosure. Accordingly, other embodiments are within the scope of the following claims. WE CLAIM : 1. A compound having the formula: wherein R3 is hydrogen; methyl; linear, branched, or cyclic alkyl; linear, branched, or cyclic alkenyl; aryl; aralkyl; and alkyloxyalkyl; and X is selected from hydrogen, or wherein R is selected from hydrogen; linear, branched, or cyclic alkyl; linear, branched or cyclic alkenyl; aryl; aralkyl; oxoalkyl; and alkyloxy alkyl; or a salt thereof. wherein R is hydrogen; methyl; linear, branched or cyclic alkyl; or cyclic alkyl; linear, branched or cyclic alkenyl; aryl; aralkyl, or alkyloxyalkyl; and wherein one of R7 or R8 is hydrogen and the other is a C1-C30 linear alkyl, one of A or B is hydrogen and the other is an ester, and m and n are independently integers from 0 to 20, such that the sum of m+n = 8 to 21; or a salt thereof. 3. The compound of either of claims 1 or 2, wherein R3 is selected from a C3- C30 linear, branched, or cyclic alkyl; linear, branched, or cyclic alkenyl; aralkyl; and alkyloxyalkyl. 4. The compound of claim 2, wherein one of R7 or R8 is a C6-C30 linear alkyl. 5. The compound of claim 3, wherein one of R7 or R8 is a C6-C14 linear alkyl. 6. The compound of either of claims 1 or 2, wherein the substituted oxymethylene moiety attached to the dioxolane ring is predominantly in the cis configuration relative to the configuration of the side chain bearing the carboxyl group. 7. The compound of either of claims 1 or 2, wherein the substituted oxymethylene moiety attached to the dioxolane ring is predominantly in the trans configuration relative to the configuration of the side chain bearing the carboxyl group. 8. The compound of either of claims 1 or 2 wherein the substituted oxymethylene moiety attached to the dioxolane ring is exclusively in the cis configuration relative to the configuration of the side chain bearing the carboxyl group. 9. The compound of claim 1 or 2 wherein the substituted oxymethylene moiety attached to the dioxolane ring is exclusively in the trans configuration relative to the configuration of the side chain bearing the carboxyl group. 10. The compound of either of claims 1 or 2, wherein R3 is hydrogen. 11. The compound of claim 10, wherein the compound is the salt of an alkali metal, an alkaline-earth metal, ammonia, or an amine. wherein R1 is hydrogen or a carbon atom of a levulinate fragment or a y- valerolactone derivative; R2 is hydroxyl, an oxygen atom of glycerol, an oxygen atom of an esterified glycerol fragment, an oxygen atom of a diglyceryl fragment, or an acrolein fragment; and p is an integer from 1 to 100; the method comprising reacting glycerol or a compound having the formula: R4 and R5 are independently selected from the group comprising hydrogen; methyl; linear, branched or cyclic alkyl; linear, branched or cyclic alkenyl; aryl, and arylalkyl; or a mono-, di-, or tri- ester of glycerol with a linear or branched alkanoic acid having one to six carbon atoms; or a mixture of glycerol and a mono-, di-, or tri- ester of glycerol with a linear or branched alkanoic acid having one to six carbon atoms; or a monolevulinate ester of glycerol; with a levulinic derivative in the presence of an acid catalyst and under conditions sufficient for removal of water from the reaction mixture. 15. A method for preparing a compound of claim 1, the method comprising reacting a compound having the formula: wherein: R9 is hydrogen or a carboxyl moiety; R10 is OR11,orN(R12)2; R11 and R12 are independently hydrogen, methyl or a linear, branched, or cyclic alkyl; and p is an integer; with a monohydric alcohol or a carboxylic ester in the presence of a base catalyst. 16. A method for preparing a compound of claim 12, the method comprising reacting a compound having the formula: The polymer of claim 19 wherein the polymer comprises a polyurethane. 21. The polymer of claim 19 wherein the polymer further comprises units derived from a compound of claim 2. 22. A plasticized polymer composition comprising: a) a base polymer; and b) a compound of any of claims 1, 2, or 19. 23. The plasticized polymer composition of claim 22, wherein the base polymer comprises vinyl chloride polymer, poly(3-hydroxyalkanoate) polymer, poly(lactate) polymer, or polysaccharide polymer. 24. The method of claim 14 wherein the levulinic derivative comprises a levulinic acid, levulinic ester, angelicalactone, or a dialkyl ketal of levulinic ester, or a mixture of two or more thereof. 25. A compound having the structure: wherein R1 is hydrogen or a carbon atom of a levulinate fragment or a γ-valerolactone derivative; R2 is hydroxyl, an oxygen atom of glycerol, or an oxygen atom of an esterified glycerol fragment, an oxygen atom of a diglyceryl fragment, or an acrolein fragment; and p is an integer from 1 to 100. 26. A compound having the formula: wherein R9 is hydrogen, methyl, or a carboxyl moiety; R10 is OR11 or N(RI2)2; R11 is hydrogen, methyl, or a linear, branched, or cyclic alkyl; and R12 is hydrogen, methyl, or a linear, branched, or cyclic alkyl; and p is an integer. wherein R3 is hydrogen; methyl; linear, branched or cyclic alkyl; linear, branched or cyclic alkenyl; aryl; aralkyl; or alkyloxyalkyl; and R6 is hydrogen; methyl; linear, branched or cyclic alkyl; linear, branched or cyclic alkenyl; aryl; aralkyl; oxoalkyl; or alkyloxyalkyl, or a salt thereof. 28. A plasticized polymer composition comprising a) a base polymer, and b) a plasticizer comprising one or more of the compounds: wherein R3 is hydrogen; methyl; linear, branched or cyclic alkyl; linear, branched or cyclic alkenyl; aryl; aralkyl; or alkyloxyalkyl; R6 is hydrogen, methyl, linear, branched or cyclic alkyl; linear, branched or cyclic alkenyl; aryl; aralkyl; oxoalkyl; or alkyloxyalkyl; and q is an integer. 29. A method of making a polymer comprising one or more repeat units having the structure: wherein R3 is hydrogen, methyl, linear, branched or cyclic alkyl, linear, branched or cyclic alkenyl, aryl, aralkyl, or alkyloxyalkyl; in the presence of a polycondensation catalyst to form a polymer. 30. A method of making a polymer comprising one or more repeat units comprising: wherein R is hydrogen, methyl, linear, branched or cyclic alkyl; linear, branched or cyclic alkenyl; aryl, aralkyl, or alkyloxyalkyl; R is hydrogen, linear, branched or cyclic alkyl; linear, branched or cyclic alkenyl; aryl, aralkyl, oxoalkyl, or alkyloxyalkyl; in the presence of a polycondensation catalyst to form the polymer. 31. A method of making a polymer comprising one or more repeat units comprising: wherein R3 is hydrogen; methyl; linear, branched or cyclic alkyl; linear, branched or cyclic alkenyl; aryl; aralkyl; or alkyloxyalkyl; with a compound comprising an epoxide of either a normal a-olefin or an unsaturated fatty acid ester in the presence of an acid catalyst to form the compound. 33. A surfactant comprising an alkali metal salt, an alkali-earth metal salt, amine salt, or ammonium salt of one or more of the compounds: wherein one of R or R is hydrogen and the other is a C1-C30 linear alkyl; one of E or D is hydrogen and the other is carboxyl; and m and n are independently integers from 0 to 20, such that the sum of m+n = 8 to 21. 34. A composition comprising the surfactant of claim 33. 35. A surfactant comprising an amide of one or more of the compounds: wherein R3 is hydrogen; methyl; linear, branched or cyclic alkyl; linear, branched or cyclic alkenyl; aryl; aralkyl or alkyloxyalkyl; one of R7 or R8 is hydrogen and the other is a C1-C30 linear alkyl; one of A or B is hydrogen and the other is an ester, and m and n are independently integers from 0 to 20, such that the sum of m+n = 8 to 21; and one of E or D is hydrogen and the other is carboxyl. The present disclosure relates to the preparation of ketal compounds from glycerol and levulinic acid and esters, and uses thereof. |
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02471-kolnp-2008-correspondence others.pdf
02471-kolnp-2008-description complete.pdf
02471-kolnp-2008-international publication.pdf
02471-kolnp-2008-international search report.pdf
02471-kolnp-2008-pct request form.pdf
02471-kolnp-2008-priority document.pdf
2471-KOLNP-2008-(04-04-2014)-CLAIMS.pdf
2471-KOLNP-2008-(04-04-2014)-CORRESPONDENCE.pdf
2471-KOLNP-2008-(04-04-2014)-FORM-1.pdf
2471-KOLNP-2008-(04-04-2014)-FORM-13.pdf
2471-KOLNP-2008-(04-04-2014)-FORM-2.pdf
2471-KOLNP-2008-(04-04-2014)-FORM-3.pdf
2471-KOLNP-2008-(04-04-2014)-FORM-5.pdf
2471-KOLNP-2008-(04-04-2014)-OTHERS-1.pdf
2471-KOLNP-2008-(04-04-2014)-OTHERS.pdf
2471-KOLNP-2008-(07-04-2014)-CORRESPONDENCE.pdf
2471-KOLNP-2008-(07-04-2014)-OTHERS.pdf
2471-KOLNP-2008-(22-04-2014)-CORRESPONDENCE.pdf
2471-KOLNP-2008-(22-04-2014)-OTHERS.pdf
2471-KOLNP-2008-CORRESPONDENCE 1.1.pdf
2471-KOLNP-2008-CORRESPONDENCE 1.2.pdf
2471-KOLNP-2008-CORRESPONDENCE 1.3.pdf
Patent Number | 263389 | ||||||||
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Indian Patent Application Number | 2471/KOLNP/2008 | ||||||||
PG Journal Number | 44/2014 | ||||||||
Publication Date | 31-Oct-2014 | ||||||||
Grant Date | 27-Oct-2014 | ||||||||
Date of Filing | 19-Jun-2008 | ||||||||
Name of Patentee | SEGETIS INC. | ||||||||
Applicant Address | 680 MENDELSSOHN AVE, N.GOLDEN VALLEY, MINNESOTA 554127, | ||||||||
Inventors:
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PCT International Classification Number | A01N 57/00 | ||||||||
PCT International Application Number | PCT/US2006/045200 | ||||||||
PCT International Filing date | 2006-11-22 | ||||||||
PCT Conventions:
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