Polymorphism and microstructure of certain triacylglycerols and fatty acid methyl esters

Abstract

This application relates to the polymorphism and microstructure of certain triacylglycerols and fatty acid methyl esters, and how the properties of these individual components in a biodiesel fuel, as well as their combined mixtures, helps understand the fundamental mechanisms of their crystallization so as to design biodiesel fuels with improved low temperature characteristics.

Claims

1. A biodiesel crystallization depressant composition comprising a triacylglycerol comprising 1,3-dioleoyl-2-palmitoyl glycerol, wherein the 1,3-dioleoyi-2-palmitoyl glycerol is mixed with a biodiesei fuel comprising methyl palmitate to a desired molar fraction, X.sub.OPO, where X ranges from greater than 0 to 1.0, and further wherein the 1,3-dioleoyl-2-palmitoyl glycerol begins crystallization depression from inception of addition down to a maximum at molar fraction 0.45.sub.OPO.

2. The composition of claim 1, wherein the mixture of the 1,3-dioleoyl-2-palmitoyl glycerol and the methyl palmitate comprises one or more eutectics.

3. The composition of claim 2, wherein the mixture of the 1,3-dioleoyl-2-palmitoyl glycerol and the methyl palmitate comprises a eutectic at molar fraction 0.45.sub.OPO, wherein an average crystal size is less than 25m at 0.45.sub.OPO.

4. The composition of claim 2, wherein the mixture of the 1,3-dioleoyl-2-palmitoyl glycerol and the methyl palmitate comprises a eutectic at molar fraction 0.80.sub.OPO, wherein an average crystal size is less than 80m at 0.80.sub.OPO.

5. The composition of claim 1, wherein at a molar fraction 0.55.sub.OPO, the composition begins crystallization at 9.5 C. and completes crystallization at 5.5 C.

6. The composition of claim 1, wherein from molar fraction areater than 0.0.sub.OPO to molar fraction 0.45.sub.OPO, the mixture of the 1,3-dioleoyl-2-palmitoyl glycerol and the methyl palmitate comprises monoclinic and triclinic forms.

7. The composition of claim 6, wherein the monoclinic form decreases from molar fraction greater than 0.0.sub.OPO to molar fraction 0.45.sub.OPO, wherein a eutectic occurs at molar fraction 0.45.sub.OPO.

8. The composition of claim 1, wherein from molar fraction 0.45.sub.OPO to molar fraction 0.75.sub.OPO, the mixture of the 1,3-dioleoyl-2-palmitoyl glycerol and the methyl palmitate comprises triclinic forms.

9. The composition of claim 1, wherein from molar fraction 0.75.sub.OPO to molar fraction 1.0.sub.OPO, the mixture of the 1,3-dioleoyl-2-palmitoyl glycerol and the methyl palmitate comprises orthorhombic and triclinic forms.

10. The composition of claim 3, wherein at the eutectic at lolar fraction 0.45.sub.OPO, the mixture of the 1,3-dioleoyl-2-palmitoyl glycerol and the methyl palmitate comprises a granula crystal network of spherulitic entities.

11. The composition of claim 4, wherein at the eutectic at molar fraction 0.80.sub.OPO, the mixture of the 1,3-dioleoyl-2-palrnitoyl glycerol and the methyl palmitate comprises fully discernible spherulites with some crystal clustering.

12. The composition of claim 1, wherein at a 1:1 compound mixture, the mixture forms a network made of dendritic-like crystals.

Description

BRIEF DESCRIPTION OF THE SEVERAL VIEWS OF THE DRAWINGS

(1) FIG. 1 depicts a Liquidus line in the phase diagram of the OPO/MeP binary system constructed from DSC heating data.

(2) FIGS. 2A, 2B, 2C, 2D, 2E, 2F, 2G, 2H, 2I, 2J, 2K, and 2L depicts PLM (100 magnification) of selected OPO/MeP mixtures obtained at 50 C.

(3) FIG. 3 depicts the average crystal size of the OPO/MeP mixtures obtained by PLM.

(4) FIGS. 4A, 4B, 4C, and 4D depicts selected PLM images (100) taken during the development from the melt of OPO microstructure. Measurement temperatures are reported on top of the slides.

(5) FIGS. 5A, 5B, 5C, and 5D depicts selected PLM images (100) taken during the development from the melt of the microstructure of the first eutectic composition, E1 (X.sub.OPO=0.45). Measurement temperatures are reported on top of these figures.

(6) FIGS. 6A, 6B, and 6C depicts selected PLM images (100) taken during the development from the melt of the microstructure of the second eutectic composition, E2 (X.sub.OPO=0.80). Measurement temperatures are reported on top of these figures.

(7) FIGS. 7A, 7B, 7C, and 7D depicts selected PLM images (100) taken during the development from the melt of the microstructure of the compound mixture (0.55.sub.OPO). Measurement temperatures are reported on top of these figures.

(8) FIG. 8 depicts PLM of 0.65.sub.OPO taken at selected temperatures (reported on top of the images). Images were taken at 100 magnification during the cooling process.

(9) FIG. 9 depicts PLM of 0.70.sub.OPO taken at selected temperatures (reported on top of the images). Images were taken at 100 magnification during the cooling process. Multi time images were taken in intervals of 30 s.

(10) FIG. 10 depicts PLM of 0.75.sub.OPO taken at selected temperatures (reported on top of the images). Images are taken at 100 magnification during the cooling process. Multi time images were taken in intervals of 5 s.

(11) FIGS. 11A, 11B, 11C, and 11D depicts PLMs taken at selected times (500 magnification) during the isothermal crystallization (T=4 C.) of the second eutectic composition E2 (X.sub.OPO=0.80).

(12) FIGS. 12A, 12B, and 12C depicts the (a) the isothermal crystallization (4 C.) of the OPO/MeP compound mixture and as a function of temperature during the non-isothermal crystallization of (b) OPO and (c) compound mixture. The solid line is tentative fit of the experimental data to a sigmoidal function and a visual.

(13) FIGS. 13A and 13B depicts the (a) WAXD spectra (15-30 scattering angle) of selected compositions of OPO/MeP measured at 40 C. after cooling from the melt at a constant rate (1 K/min). OPO molar ratios in the OPO/MeP mixtures are reported on the right side above the patterns. (b) Intensity of the 3.65 line versus OPO molar fraction.

(14) FIG. 14 depicts (on the left) SAXD spectra (1-15 scattering angle) of selected compositions of OPO/MeP measured at 40 C. after cooling from the melt at a constant rate (1 K/min). OPO molar ratios in the OPO/MeP mixtures are reported on the right side above the patterns. On the right, is a zoom into the 001 reflections of 0.65.sub.OPO and 0.75.sub.OPO mixtures.

(15) FIGS. 15A, 15B, and 15C depicts schematic representations of the crystalline structures of OPO and OPO:MeP molecular compound. The models are depicted on the basis of the lamellar distances obtained from X-ray diffraction. The -phase of OPO (a) and the -phase of the compound (b) pack in bilayer structures, whereas, the .sub.1-phase of OPO (c) have the triple layer structure. The lamellar thickness (d.sub.001) of each polymorph is reported above each structure.

DETAILED DESCRIPTION OF THE INVENTION

(16) It is generally known that additives suppress the crystallization of biodiesel and delays the rate of nucleation and/or crystal growth processes. At the nucleation level, additives delay the formation of critical nuclei from embryo clusters through molecular-level interactions between the crystallizing host molecules and the interfering additive molecules. The crystal growth is delayed when the additive prevents the adsorption and incorporation of crystallizing host molecules at the growing crystal surfaces. The additive is most efficient when both length scales are impacted. The disturbance to crystallization is therefore manifested at both the nanostructure and microstructure levels. The changes may be evidenced depending on concentration by specific changes to crystal structure and polymorphism, and microstructure, i.e., fat network and crystal shape and habit.

(17) Polarized Light Microscopy (PLM) is an efficient technique to study the microstructure of lipid systems. The development of fat crystals from the start of crystallization to the complete fat network can be exposed by time/temperature resolved PLM, or thermo-microscopy. The technique also allows access to nucleation parameters when the rate of nucleation is low or the rate of crystal formation (number of crystals per time) is low, i.e., when individual crystals can be individually counted and considered as nuclei.

(18) X-Ray Diffraction (XRD) is a useful tool for studying crystallization at the molecular and nanoscale levels. It allows access to the details of the lamellar packing, as well as the subcell structure of the fat crystals, and provides information on the intermolecular interactions at play during the development of the crystal phases. XRD also provides valuable information on the crystal arrangement, homogeneity and order state at the crystallized domains which are usually at the nanoscale. The technique provides access to the electronic density map which in turn provides an indication of the localization of atoms/group of atoms. This can be used to understand the molecular mechanisms involved in the crystallization of TAG/FAME systems, and can help unravel the role of TAGs in the noticeable reduction of crystallization temperature of FAMEs.

(19) The present effort investigated the polymorphism and microstructure of the OPO/MeP model binary system using XRD and polarized light microscopy (PLM). The thermal behavior of this binary system has been previously described in commonly assigned U.S. Patent Application Ser. No. 61/780,817. The complex phase trajectories presented by this system upon both cooling and heating indicated a rich and complex polymorphism. A similarly rich microstructure is also expected as polymorphism significantly affects the microstructure development as well. A detailed thermal analysis by DSC of the OPO/MeP binary system demonstrated complex phase trajectories with several thermal transitions, including recrystallization from the melt. The liquidus line in the phase diagram constructed from the heating data is shown in FIG. 1. As can be seen, it presents two eutectic compositions, E1 at 0.40.sub.OPO and E2 0.80.sub.OPO with eutectic temperatures at 15 C. and 12 C., respectively, separated by a singularity at 0.55.sub.OPO indicative of the formation of a 1:1 compound (C).

(20) Materials and Methods of Preparation of OPO and/or MeP

(21) Materials

(22) 1,3-dioleoyl-2-palmitoyl glycerol (OPO) were synthesized and purified and Methyl Palmitate (MeP) was purchased (Aldrich Chemical Co. Inc.). Their purities were greater than 99% as determined by high performance liquid chromatography (HPLC). The TAG and FAME were mixed in 0.05 molar fraction increments. The melted sample was homogenized using a mechanical stirrer.

(23) Polarized Light Microscopy

(24) A polarized light microscope, PLM, (Leica DM2500P, Leica Microsystems, Wetzlar, Germany) fitted with a Leica (DFC420C) digital camera was used for image capture. A Linkam LS 350 temperature-controlled stage (Linkam Scientific Instruments, Tadworth, Surrey, UK) fitted to the PLM was used to process the samples. A small droplet of material was carefully pressed between a preheated glass microscope slide and cover-slip ensuring a uniform thin layer of sample. The sample was melted at 70 C. for 15 min to delete all crystal memory then cooled a rate of 1 K/min down to 50 C. Images were recorded at 50, 100 and 500 magnification.

(25) The sample was measured as it was cooling using the automatic multi-time image capture available in the PLM. The start temperature of crystallization (T.sub.s) recorded at the appearance of the first white spot in the PLM, is observed and the development of the size and shape of the crystals were determined. The final crystal network was particularly investigated.

(26) X-Ray Diffraction

(27) A Panalytical Empyrean X-ray diffractometer (PANalytical B.V., Lelyweg, The Netherlands) equipped with a filtered CuK.sub. radiation source (=0.1542 nm) and a PIXcel.sup.3D detector was used in line-scanning mode (255 lines over 3.347 degree wide detector) for XRD measurements. The XRD patterns were recorded between 1 and 60 (2) in 0.026 steps, at 45 kV and 40 mA. The procedure was automated and controlled by PANalytical's Data Collector (V 3.0c) software. The samples were processed in the XRD chamber, similarly to PLM as described in section 2.1, using a 700 Series Cryostream Plus cooling system (Oxford Cryosystems, Oxford, UK) fitted to the diffractometer. The temperature was controlled to better than 0.5 C. The data were processed and analyzed using the Panalytical'sX'PertHighScoreV3.0 software. We refer to the range 2=[1-15] and [15-60] as the small- and wide-angle scattering regions (SAXD and WAXD), respectively.

(28) X-Ray Data Analysis and Polymorphism

(29) The main subcell hydrocarbon-chain packing modes are commonly denoted as the , and polymorphs. The chain packing of the -polymorph is hexagonal with non-specific chain-chain interactions. The common subcell packing of the -polymorph is orthorhombic, and the hydrocarbon chains of the -polymorph are ordinarily packed parallel to each other in a triclinic (or monoclinic, if the angles and are 90 C.) parallel subcell (T.sub.H). The -polymorph is the most stable crystal form, with the highest melting temperature, and the -polymorph is the least stable crystal form, with the lowest melting temperature. The hydrocarbon chain layering is responsible for the characteristic small-angle (long-spacing) reflections. The period of layers normally observed for TAG structures is usually proportional to the acyl chain lengths by a factor of two or three, suggesting a double-chain length (DCL) or a triple-chain length (TCL) packing.

(30) Microstructure of the Crystallized Mixtures

(31) FIG. 2 shows the microstructures of selected OPO/MeP mixtures taken at 50 C. with 100 magnification. Table 1 provides a brief description of their microstructure (crystal shape, average particle size and distribution, and density) and lists the start temperature of crystallization (T.sub.s) recorded at the appearance of the first white spot (representing the first nucleus/crystal) in the PLM, and the corresponding DSC onset temperature of crystallization (T.sub.On) obtained using the same thermal protocol. Note that the smallest structures observable in a light microscope are of the order of 0.5 m, due to the limitation induced by light diffraction. Therefore, structures detected by the light microscope were significantly larger than nuclei. However, for well-behaved (i.e. slow crystallizing) systems, one may assume individual crystals detected at early stages of crystallization correspond to individual nuclei. The OPO/MeP mixtures presented a variety of fat networks with distinctive crystal shapes and sizes, and a variety of spatial distributions of the solid phases. The fat networks with very large crystals were relatively not uniform compared to the networks containing smaller crystals.

(32) As can be seen in FIG. 2, the fully crystallized pure materials (MeP and OPO) presented a microstructure noticeably different from all their mixtures. Overall, the shape of the crystals was altered and their average size considerably reduced as soon as OPO was added. The very large crystals of the solid network of pure MeP (FIG. 2a) contrast noticeably with the smaller crystals of all the MeP/OPO mixtures. The typical shape of crystals of the FAME was no longer observed immediately upon addition of the TAG. The 0.35.sub.OPO mixture (FIG. 2b), for example, presented dispersed, medium sized highly branched dendrites of 200 m diameter, compared to the very long (>2500 m) smooth leaflets of MeP. These results indicate that OPO effectively suppressed the crystal growth of MeP. The detailed quantification of this suppression is presented in the following paragraphs.

(33) The microstructures of the special mixtures, i.e., the eutectic compositions E1 (FIG. 2c, 0.45.sub.OPO) and E2 (FIG. 2k, 0.80.sub.OPO) and the compound (FIG. 2f) were particularly interesting. These mixtures delimit concentration regions of fundamentally different microstructures. The two eutectics displayed very dense crystal networks made of small spherulitic entities. Contrary to the microstructure of E1, whose crystal network presented a granular texture at the 100 magnification, the microstructure of E2 presented fully discernible spherulites, though with some crystal clustering. Although smaller, the crystals constituting the microstructure of E2 were reminiscent of the Maltese cross shaped crystals of OPO, suggesting that the TAG is the entity initiating their crystal habit. This was also observed for all the OPO-rich mixtures. The compound mixture, on the other hand, formed a very peculiar network made of dendritic-like crystals, originating from the center and bifurcating radially (FIG. 2f-g), indicating the presence of low energy facets which evolve in a complex manner.

(34) The special mixtures delimit concentration regions in the phase diagram where key elements of the final microstructure are shared. These concentration regions match perfectly the segments of the liquidus line in the phase diagram (FIG. 1). More interestingly, as can be seen in FIG. 3 showing the average size of the largest crystals versus OPO molar ratio, the change in crystal size observed for the OPO/MeP mixtures mirrored that of the liquidus line.

(35) TABLE-US-00001 TABLE 1 Summary of the description of the microstructure of the different OPO/MeP samples as observed by PLM after complete crystallization (crystal shape, particle distribution, average crystal size, and network description). The mixtures were cooled from the melt at a rate of 1 K/min. The uncertainties attached are standard deviations calculated for measurements of the different crystals in the PLM. T.sub.s ( C.) T.sub.On Crystal 0.5 ( C.) Crystal shape size (m) Network description MeP 26.0 24.1 0.5 Radial needle-like fibres Very Uniform. only 1 crystal originating from the large, observed on a slide at the nucleus with palm leaf- >2500 50X magnification like forking. 0.05.sub.OPO 24.7 23.2 0.1 leaf-like 1200 Heterogeneous with intricate distribution of the leaves 0.35.sub.OPO 7.7 0.1 Dispersed, medium Heterogeneous with sized highly branched intricate distribution of the dendrites branches. E1 6.5 4.6 0.1 Very grainy 17-23 Uniform Very 0.45.sub.OPO Small Maltese crosses homogeneous. Very dense. 0.47.sub.OPO 7.0 Primary nucleation of 825 Very Uniform and large spherulites 132 homogeneous distribution followed by small bright of the large crystals. secondary crystals Secondary crystals formed on top of the primary crystals. Phases are clearly separated. 0.50.sub.OPO 12.0 8.5 0.4 Large radially grown 1100 Very Uniform and branched crystals 208 homogeneous distribution of the crystals. Very straight lines of impingement. Compound 10.0 8.6 0.2 Non-uniformly 360-600 Relatively heterogeneous 0.55.sub.OPO distributed, radially distribution of the crystals. grown leaf-like dendrites - Not uniform not connected dendrites 0.60.sub.OPO 7.0 7.3 0.2 Primary Non-uniformly Large- Relatively Homogeneous distributed, radially 735 and uniform underlying grown leaf-like dendrites - Small- network of the large not connected 610 crystals. dendrites followed by Very dense and secondary small crystals heterogeneous upper layer of the small crystals Secondary crystals formed on top of the primary crystals. Phases are clearly separated. 0.65.sub.OPO 10.0 6.7 0.5 Relatively small bright 215 Heterogeneous with Maltese crosses intricate large honeycomb connected to form a two- (about 200 m) distribution phase microstructure of one phase enclosing the other. Low density 0.70.sub.OPO 9.0 5.4 0.2 Relatively small bright 184 Heterogeneous with Maltese crosses intricate honeycomb (about connected to form a two- 100 m) distribution of one phase microstructure phase enclosing the other. Medium density 0.75.sub.OPO 8.0 2.3 0.2 small bright Maltese 77 Heterogeneous with crosses connected to intricate small honeycomb form a two-phase (about 30 m) distribution microstructure of one phase enclosing the other. high density E2 3.0 4.3 0.2 Very Small typical 50-80 Very Uniform. medium 0.80.sub.OPO Maltese crosses density OPO 9.5 11.6 0.6 Small typical Maltese 200 Very uniform, crosses homogeneous and dense
Development of Crystal Networks

(36) The similarities and differences are particularly seen in the time-temperature (1 K/min) resolved PLM. The evolution of the fat network from the appearance of the first crystallites to the fully developed solid development from the melt distinguished the microstructures. The first crystals observed under the PLM had sizes in the 5-20 m range, and were probably not the primary crystals formed upon nucleation, but rather, already grown crystals because nucleation is generally quickly followed by crystal growth.

(37) As expected, T.sub.s decreased significantly as OPO was added to MeP, in a similar fashion to the DSC onset temperature of crystallization, T.sub.On. One can note, however, that T.sub.s is slightly above the corresponding T.sub.On for all samples (Table 1). This is understandable not only because of the way the latter is determined, but also because at the early stages of crystallization, the heat released from the formation of the first few nuclei may not be captured by DSC. More fundamentally, techniques of low sensitivity for solid contents which measure crystal growth, such as DSC or pNMR, cannot evaluate accurately nucleation effects.

(38) Microstructure Development of MeP and OPO

(39) MeP crystallized so very rapidly at 26 C. that only one single crystal was observed in the entire PLM slide. This can be related to the very narrow exotherm displayed by the cooling DSC thermogram of this FAME. OPO, on the other hand, crystallized much slowly, forming Maltese cross shaped crystals, typical of a spherulitic growth. As shown in FIGS. 4a-d, representing selected PLMs taken as OPO was cooling, the apparent size of the crystals increased from an estimated diameter of 20-m for the first early crystal imaged at 9.5 C. to plateau three (3) minutes later with an average size of 200 m. The relatively slow growth observed by PLM is attributable for a large part to the effect of the peculiar geometry of the OPO molecule due to the cis-double bonds on crystal growth.

(40) Microstructure Development of Eutectic E1

(41) The first white small spot in the PLM of the eutectic composition E1 (X.sub.OPO=0.45) was observed at 6.5 C. (FIG. 5a). This first crystallite, contrary to the case of OPO, was followed by a burst of small crystals filling the PLM slide within a very short interval of time (FIG. 5a-b). These crystals developed very rapidly into small spherulites of 17 to 23 m average sizes (FIG. 5c). The microstructure developed further into a dense and very homogeneous grainy network in which the crystals appeared to gradually lose their individuality due to clustering (FIG. 5d). There were no noticeable changes in the microstructure of E1 below 3 C.

(42) Microstructure Development of Eutectic

(43) The first crystals (nucleation) of the second eutectic composition E2 (X.sub.OPO=0.80) were observed at 4 C. (FIG. 6a). Similarly to E1, the first white spot observed in the PLM was followed by the formation of very small spherulitic crystals which very rapidly filled the microscope slide (FIG. 6b). The crystals grew relatively slowly and reached sizes of 50-80 nm at 7.5 C. (FIG. 6c). Note that some of the crystals eventually clustered, but unlike for the microstructure observed at E1, the individuality of the crystallites seemed to be preserved as suggested by the relatively well resolved impingement boundaries.

(44) Microstructure Development of the Compound and Compositions Between the Eutectics

(45) The compound was central to the understanding of the microstructure development in the OPO/MeP binary system. The crystallization of the compound composition (0.55.sub.OPO) started at 9.5 C. and completed at 5 C. (FIG. 7a-c). The number of apparent crystals increased relatively rapidly as crystallization proceeded, but contrary to the microstructure development at E1 and E2, slowly enough to allow for an accurate counting of the crystals during 3 minutes. The crystals grew radially forming dendritic bifurcations. From a 50-m diameter when they were first spotted, the size of the crystals increased to 100 m 30 s later to reach 500-800 m at the complete crystallization, indicating a relatively high growth rate. Note that no new crystal or further growth was observed below 7 C. In fact, the microstructure of the mixture did not show any further change upon cooling down to 50 C. The final microstructure was formed of a complex intertwined network of these relatively large dendritic spherulites (FIG. 7d). Note that the 0.50.sub.OPO sample presented a similar crystal development with spherulitic crystals made of very complex leaflet-like branches with size comparable to those of the 0.55.sub.OPO.

(46) On the two sides of the 50% mixture, the microstructure of the 0.47.sub.OPO and 0.60.sub.OPO samples evolved similarly from the melt and formed similar networks. The crystallization in both mixtures started with very few small crystals (one or two) which grew rapidly into very large spherulites reminiscent of the crystals observed for the 0.50.sub.OPO sample. As the sample was cooled further, small and bright crystals formed via secondary nucleation on top of the existing network in both cases. However, the secondary crystals of 0.47.sub.OPO evolved into bifurcating flocks, whereas, those of 0.60.sub.OPO were very small Maltese crosses. It is reasonable to assume that crystals (large spherulites) observed for the 0.50.sub.OPO sample were those of a phase made of the 1:1 compound which coexisted with a MeP phase (small flocks) in the case of the 0.47.sub.OPO sample and with an OPO phase (small Maltese crosses) in the case of 0.60.sub.OPO. Notably, the presence of the compound hindered the full development of both MeP and OPO into the respective networks that they would achieve alone.

(47) Development of the Microstructure of 0.65.sub.OPO, 0.70.sub.OPO and 0.75.sub.OPO

(48) The PLMs of the 0.65.sub.OPO, 0.70.sub.OPO and 0.75.sub.OPO samples taken at selected temperatures during cooling (1 K/min) are shown in FIGS. 8-10, respectively. The crystal development (formation, growth, size and type of crystals) and final fat network of these mixtures were similar to those of the second eutectic composition. The PLM of these mixtures started showing a very small number of crystals which increased rapidly. The crystals themselves grew slowly, and then impinged to form an intricate honeycomb-like microstructure. Beside the two different morphologies observed in the fully crystallized material (white honeycomb contour and fill), which are probably constituted of the two solid phases of the binary eutectic reaction, one can notice a coexisting third phase made of Maltese cross-like crystals (arrow in FIG. 8), reminiscent of an OPO-rich phase. As the concentration approaches the eutectic (PLMs from 0.65.sub.OPO to 0.75.sub.OPO), the number of starting crystals became higher and their size smaller. Also, the honeycombs making up the final microstructure became smaller, indicating that it is OPO related.

(49) Nucleation Progress Estimated by PLM

(50) The nucleation progress can be estimated by following the evolution of the number of individual crystals showing in the PLM, when such counting is possible. The variation of the number of crystals with temperature gives an idea of the rate of formation of the crystals. However, when individual crystals can be individually counted and the rate of nucleation is low, the rate of crystals formation (number of crystals per time) can be reasonably substituted for the rate of nucleation. Note that there is a limit to which the number of crystals can be accurately counted in a PLM slide.

(51) The evolution of the microstructure of second eutectic composition E2 (X.sub.OPO=0.80) was followed isothermally at the temperature (4 C.) at which the first nucleus was spotted. PLM taken at selected times are shown in FIG. 11a-d (500 magnification). As can be seen in the figures, the crystallization proceeded through sporadic nucleation and spherulitic growth. The estimated number of crystals versus time is shown in FIG. 12a. The data were successfully fitted with a typical sigmoidal function. Such a trend suggests that the transformation proceeded through a simple crystallization mechanism.

(52) The number of such crystals at the two eutectics increased so rapidly during the non-isothermal crystallization that it was very difficult to follow their progress. Accordingly, nucleation rate was very high. The number of apparent crystals of OPO (FIG. 12b) and compound mixture (FIG. 12c) versus temperature curves presented typical sigmoidal shapes with plateaus at 7.5 C. and 12.5 C., respectively. Note that it was no longer possible to count individual crystals beyond these temperatures, due to clustering.

(53) Although the plot of the number of crystals versus time gave the typical sigmoidal shaped curve, it was not a measure of the volume of the new phase to which the Avrami model is usually applied. It was rather a function of the spatial distribution of mass and only in part a function of the solid content which can be described by an Avrami-like model (Equation 1).

(54) $\begin{array}{cc}\frac{y}{y_{\max }}=1-{}^{-{k\left(t-t_0\right)}^n}& \mathrm{Equation}1\end{array}$
y describes the number fraction of crystals as a function of time and y.sub.max is its limiting value as time approaches infinity. k is an Avrami-like apparent rate constant and n an Avrami-like exponent. t is the time and t.sub.0 is the induction time.

(55) This is particularly relevant when clusters are present or when already grown crystals absorb emerging nuclei. However, PLM is a sensitive enough technique to study nucleation, but needs special care for the analysis of its results and the number of single (discernible) entities that can be used as a lower limit for the description of nucleation progress. The results of the application of the model, despite its notable restriction, would provide a means of comparison. As can be seen from Table 2, the Avrami-like parameters of OPO and the compound were very different, indicating differences in both nucleation and spatial distribution of the crystals and can be related to differences in crystal growth.

(56) TABLE-US-00002 TABLE 2 results of the application of an Avrami-like model to number of crystal of OPO and the compound mixtures shown in FIG. 12a and 12b, respectively. Rsqr Std Err k n OPO 0.994499 0.033985 0.008 0.003 4.9 0.4 Compound 0.987577 0.051071 0.086 0.027 3.3 0.4 OPO, T = 4 0.995341 0.028850 0.0004 0.0002 3.9 0.2 C.
Crystal Structure of OPO/MeP
Subcell Structure

(57) The WAXD spectra (15-30 scattering angle) of selected compositions of OPO/MeP measured at 40 C. after cooling from the melt at a constant rate (1 K/min) are shown in FIG. 13a. The d-spacing and corresponding Miller indices are listed in Table 3. As can be seen in the figure, the crystal lines of the OPO/MeP mixtures were superimposed onto a wide halo, particularly noticeable for mixtures with more than 25% molar OPO, indicating the presence of a liquid phase at the measurement temperature (40 C.).

(58) Three polymorphic forms were detected: the monoclinic structure of MeP (.sub.M), the orthorhombic form of OPO () and a triclinic structure () found in all mixtures with varying content. Careful attention should be taken in order to follow the variation of the relative polymorphic contents because some of the characteristic lines are very close. The presence of the relatively large liquid phase introduces an extra uncertainty in the estimation of the relative content of the coexisting phases. The analysis of the WAXD crystal peaks was carried out after the contribution of the liquid phase was removed. Therefore, the trends obtained allowed an accurate description of the qualitative as well quantitative changes in the crystal phases as a function of concentration.

(59) The variation of the intensity of the 3.65 line is shown in FIG. 13b. The noticeable decrease observed from pure MeP to the eutectic composition E1 (0.45.sub.OPO) indicates that it originated from the .sub.M-phase and can, therefore, be used to estimate the variation of the monoclinic phase in this region of concentration.

(60) TABLE-US-00003 TABLE 4 WAXD data: d-spacing of resolved lines and corresponding Miller indices. Samples were cooled from the melt at a rate of 1 K/min. Patterns measured at 40 C. Uncertainty = 0.05. 102.sub. or 010.sub. 110.sub. 010.sub. 020.sub. 100.sub. 200.sub. 100.sub. MeP 4.45 4.29 4.17 4.10 4.02 3.87 3.65 0.05.sub.OPO 4.52 4.29 4.08 4.03 3.84 3.79 3.64 0.15.sub.OPO 4.50 4.28 4.24 4.09 4.03 3.84 3.77 3.64 0.25.sub.OPO 4.56 4.03 0.35.sub.OPO 4.55 4.42 4.29 4.23 4.07 4.02 3.87 3.78 3.64 0.45.sub.OPO 4.54 4.48 4.24 4.07 4.00 3.9 3.76 3.63 0.50.sub.OPO 4.56 4.23 4.07 0.55.sub.OPO 4.55 4.49 4.29 4.27 4.06 3.86 3.72 3.54 0.60.sub.OPO 4.54 4.28 4.01 0.65.sub.OPO 4.56 4.47 4.26 4.08 4.04 3.84 3.71 3.64 0.70.sub.OPO 4.47 4.28 4.07 0.75.sub.OPO 4.56 4.46 4.22 4.06 3.78 3.66 0.80.sub.OPO 4.47 4.25 4.09 3.97 3.78 3.64 0.90.sub.OPO 4.48 3.85 3.79 3.67 OPO 4.22 3.87

(61) The XRD pattern of OPO displayed two main peaks characteristic of the -form at d-spacings of 4.230.07 (110) and 3.860.04 (200). The 4.55 and 3.63 lines, characteristic peaks of the -form which were detected in the 0.90.sub.OPO mixture, increased noticeably and reached a maximum intensity for the 0.75.sub.OPO mixture. These two lines also appeared for the MeP rich mixtures. As OPO was added to MeP, their intensity increased steadily to reach a maximum before the eutectic composition. In this concentration region, the -phase coexisted with, but increased to the detriment of the monoclinic phase of MeP as OPO content was increased. Note that the monoclinic phase content decreased from 0 to 0.45.sub.OPO where it disappeared. The mixtures between 0.45.sub.OPO and 0.75.sub.OPO presented only the characteristic lines of the triclinic symmetry. The WAXD pattern of the compound composition was unique although clearly one of a -polymorph. It showed unique features such as the appearance of a line at 4.0 which is distinct from the 4.03 line shown by the WAXD patterns of MeP rich mixtures, and the extinction of a few peaks between 2=19.6 and 23. Note that unlike the shoulder-line at 4.50 whose intensity varied with concentration, the intensity of the 4.55 line remained almost constant for the mixtures of this range of concentration. This indicated that even if the overall crystal structure remained the same, the details of the subcell organization and electronic density distribution varied as a function of OPO content.

(62) The WAXD data indicated that two different b-phases were at play in the OPO/MeP binary system. The pure OPO at 40 C. only showed the characteristic reflections from the orthorhombic crystal system. As soon as MeP molecules were included the ensemble of OPO molecules, a rearrangement of molecules occurred in order to accommodate the MeP with OPO. As the concentration of MeP was increased to 0.75.sub.OPO (second eutectic) the intensity of the (4.55 ) characteristic reflection of the -form increased noticeably while its corresponding d-spacing decreased due to better molecular rearrangements and order along the 010 direction.

(63) The microstructure observed for the MeP-rich mixture was associated with the monoclinic phase which was predominant in this range. The large decrease of the size of the crystals making up this phase indicated that the monoclinic symmetry is versatile enough to accommodate such a wide range of crystal sizes. The relatively large crystals observed for the compound and the mixtures which where exclusively triclinic, suggest that the -form was limited in the range of microstructures that it can accommodate. It was noticeably favoring inhomogeneous fat networks made of large crystals. The small size of the crystals of the OPO-rich mixtures indicated that the orthorhombic symmetry was more prone to constitute a more homogeneous microstructure with small crystals. This finding may help in the designing of specific protocols for biodiesel and biodiesel additives which would optimize both the crystallization temperature and size related problems of biodiesel.

(64) Lamellar Packing

(65) SAXD spectra (1-15 scattering angle) of selected compositions of OPO/MeP measured at 40 C. after cooling from the melt at a constant rate (1 K/min) are shown in FIG. 14a. The d-spacing and corresponding Miller indices are listed in Table 4. The SAXD of the pure MeP displayed a number of sharp and strong peaks. The d-value of the first order (001) reflection represented the thickness of the molecular layers and higher order (001)-reflections indicated regular, periodic structures and represent the periodical sequence of electronic density differences in multiple layers.

(66) TABLE-US-00004 TABLE 4 SAXD data: d-spacing and corresponding Miller indices. Samples were cooled from the melt at a rate of 1 K/min. Patterns measured at 40 C. Uncertainty = 0.15. MeP (001) (002) (003) (004) (005) (006) 43.87 21.74 14.42 10.87 8.61 7.23 0.05.sub.OPO 43.01 21.77 14.07 10.86 0.15.sub.OPO 41.74 21.75 14.04 10.87 0.25.sub.OPO 41.86 13.89 0.35.sub.OPO 41.80 21.07 13.95 10.63 0.45.sub.OPO 41.80 21.51 14.09 10.49 0.50.sub.OPO 42.41 13.97 0.55.sub.OPO 42.26 21.33 13.96 10.25 0.80.sub.OPO 44.15 22.06 14.69 0.90.sub.OPO 45.20 22.07 14.76 OPO 44.24 22.34 14.58 S1 S2 (001) 002 (003) 004 I.sub.2/I.sub.1 (001) 002 (004) 0.60.sub.OPO 42.38 21.21 13.91 10.44 0.1 63.05 0.65.sub.OPO 42.50 13.59 0.2 63.15 31.50 15.15 0.70.sub.OPO 43.31 21.07 13.93 0.5 63.30 31.70 0.75.sub.OPO 42.87 21.17 13.87 1.5 63.35 31.93 15.29

(67) There were three distinct groups of patterns each sharing similar features indicative of similar lamellar arrangements. They were delimited by the eutectic compositions (0.45.sub.OPO, 0.80.sub.OPO) and the compound composition 0.55.sub.OPO. The XRD patterns of the mixtures with X.sub.OPO0.45 displayed the same 001 reflections as MeP (uppermost pattern in FIG. 14). In this group, the intensity of the 001 reflection remained almost constant whereas that of 002, 004 and 006 decreased noticeably and disappeared completely for the eutectic composition (see for example the variation of the intensity of the 006 reflection in FIG. 14). The special case of the 003 reflection is discussed in the following paragraphs. This clearly indicates the noticeable disrupting effect of OPO on the periodical sequence of electronic density differences in the layering of MeP. Although the repeat unit d.sub.001 decreased from 44 for pure MeP to 42 from 0.15.sub.OPO to 0.45.sub.OPO, the period of layers along the layer normally observed for these structures is proportional to the acyl chain lengths by a factor of two. This limited shortening of repeat unit length was probably due to adjustments of the MeP head groups to the glycerol backbone of the TAG.

(68) The SAXD patterns of the mixtures with X.sub.OPO>0.75 presented the same reflections as OPO, with a repeat layering unit of 44.5 . This was very close to published values of the double chain length (DCL) stacking of the -form of OPO.

(69) The 003 reflection which was very weak in MeP increased to reach a maximum for the 0.55.sub.OPO mixture then decreased to disappear from the SAXD pattern of 0.80.sub.OPO. Such a variation of this reflection with X.sub.OPO was associated with the presence of the compound (in the -form) alongside a MeP-rich phase and an OPO-rich phase on the left and right concentration sides.

(70) The mixtures from 0.60.sub.OPO to 0.75.sub.OPO presented two types of stacking (Table 4). The first (S1 in Table 4) was similar to the patterns of the compound with a repeat layer unit of 42.5 , and hence associated with the layering of its -phase. The second stacking (S2 in Table 4) presented a 001 line at 63.5 accompanied with weak 002 and 004 reflections. As illustrated in FIG. 14b, showing the two 001 reflections of 0.65.sub.OPO and 0.75.sub.OPO mixtures, the intensity of the 63.5 line increased noticeably relative to the 42.5 line from 0.01 to 1.5 as OPO ratio was increased (Table 4), clearly indicating an OPO-rich phase origin. Similarly to previous publication for the triple chain structure of the OPO, the 63.5 line is undoubtedly associated with the -form of OPO, and specifically to its highest stability .sub.1-form. The coexistence of these two crystal structures in these mixtures can be directly related to the two phases observed in their microstructure observed by PLM. Schematic representations of the crystalline structures of the - and .sub.1-phases of OPO, and the -phase of the compound depicted on the basis of the lamellar distances obtained from X-ray diffraction are shown in FIG. 15.

(71) The SAXD lines from the 0.60.sub.OPO to 0.75.sub.OPO compositions were less intense compared to those of MeP and OPO, indicating a less localized electronic density, probably due to relaxed packing of OPO and MeP in the unit. The larger width of all the (001) reflections detected for these mixtures indicated also that chain arrangement in this new packing is looser and much more disordered that that of the pure constituents of the mixtures.

(72) As a general recap, the analysis by PLM and XRD of the 1,3-dioleoyl-2-palmitoyl glycerol (OPO) and methyl stearate (MeP) mixtures provided detailed information of the microstructure and crystal structure of the binary system. The TAG was found to noticeably impact the polymorphism as well as the microstructure development of the FAME. The study of the binary system at the nano- and micro-length scales proved that the TAG impacted the phase behavior of the FAME at both the nucleation and crystal growth processes levels. The mechanism proposed for the manner in which the TAG delays crystallization and reduces crystal size was supported by substantial evidence. The disturbance of crystallization was shown at both the nanostructure and microstructure levels. The TAG-induced changes in the crystallization of the FAME were evidenced by specific changes to crystal structure and polymorphism, and microstructure, i.e., fat network and crystal shape and habit. OPO promoted the formation of a significant number of nuclei resulting in reduced crystal size of the FAME. The noticeable decrease in crystal size is closely associated to the variation in melting temperature as described by the onset temperature of crystallization determined by PLM, and as shown by the liquidus line in the phase diagram constructed by DSC. Furthermore, the changes in the polymorphism correlated very well with the changes observed in microstructure. The MeP-rich mixtures crystallized presented a monotectic symmetry alongside a growing MeP-triclinic symmetry whereas the OPO-rich mixtures crystallized in the orthorhombic symmetry alongside a growing OPO-rich triclinic symmetry. The compound mixture presented only a triclinic phase.

(73) The foregoing detailed description and accompanying figures provided a fundamental understanding necessary to optimize the use of structured additives for the improvement of the cold flow behavior of biodiesel through suppression of crystallization and reduction of crystal size. Moreover, the foregoing detailed description and accompanying figures have been provided by way of explanation and illustration, and are not intended to limit the scope of the invention. Many variations in the present embodiments illustrated herein will be apparent to one of ordinary skill in the art, and remain within the scope of the claims and their equivalents.