CO-CRYSTALS COMPRISING EPICATECHIN AND A CARBOXY-N-HETEROCYCLIC CO-CRYSTAL FORMER

Information

  • Patent Application
  • 20210380535
  • Publication Number
    20210380535
  • Date Filed
    October 24, 2019
    4 years ago
  • Date Published
    December 09, 2021
    2 years ago
Abstract
The invention provides novel co-crystals of epicatechin with a carboxy-N-heterocyclic co-crystal former such as trigonelline or proline and their pharmaceutical compositions. Methods of preparing the co-crystals and methods of using them are also provided.
Description
FIELD OF THE INVENTION

The present invention pertains to field of crystals. More particularly, the present invention is drawn to a novel co-crystal of epicatechin with a co-crystal former.


BACKGROUND OF THE INVENTION

Co-crystals have generated tremendous interest in pharmaceutical research and development because of the potential to customize physicochemical properties of the solid while maintaining the chemical integrity of the drug. Co-crystals are part of a broader class of multicomponent crystals, where two or more molecules (commonly referred to as drug and co-former) populate a homogeneous crystalline lattice in a well-defined stoichiometry. What distinguishes co-crystals from other types of multi component crystals such as salts and solvates is that drug and co-former are solids at ambient temperature and that the intermolecular interactions are nonionic in nature. The diversity of solid forms that can be generated from a drug greatly increases through co-crystallization; the physicochemical properties of the co-crystals can vary depending on the characteristics of its constituent molecules. Pharmaceutically relevant properties that can change via co-crystallization include but are not limited to solubility, dissolution, moisture uptake, chemical stability, mechanical properties, and bioavailability.


The main advantage of co-crystals is the ability to generate a variety of solid forms of a drug that have physicochemical properties distinct from the solid co-crystal components. Such properties include but are not limited to solubility, dissolution, bioavailability, hygroscopicity, hydrate/solvate formation, crystal morphology, fusion properties, chemical and thermal stability, and mechanical properties. These properties can directly or indirectly affect the suitability of a particular API as a pharmaceutical product.


A co-crystal of a drug (an active nutraceutical ingredient or an active pharmaceutical ingredient) is a distinct chemical composition between the drug and co-former, and generally possesses distinct crystallographic and spectroscopic properties when compared to those of the drug and a co-former individually. Unlike salts, which possess a neutral net charge, but which are comprised of charge-balanced components, co-crystals are comprised of neutral species. Thus, unlike a salt, one cannot determine the stoichiometry of a co-crystal based on charge balance. Indeed, one can often obtain co-crystals having stoichiometric ratios of drug to co-former of greater than or less than 1:1. The stoichiometric ratio of an API to a co-former is a generally unpredictable feature of a co-crystal.


Several co-crystal compounds, composition, methods of preparations and uses thereof have been known in the prior art. For instance, WO2017001991 relates to certain crystalline compounds containing Trigoneline and a cocrystal former.


WO 2009/136408 relates to a pharmaceutical co-crystal comprising soluble forms of broad-spectrum fluoroquinolone antibacterial agents namely Ciprofloxacin and Norfloxacin with small molecules that have unique physical properties and biological activity which differ from the active agent in pure form, to process for preparation of the same and also relates to pharmaceutical compositions comprising these synergistic co-crystals.


WO 2017/001991 discloses co-crystals of certain flavonoids with trigonelline. However, it does not disclose co-crystals of epicatechin.


However, the inventors in their earlier applications incorporated herein by entirety note that epicatechin is preferred flavonol and have wide variety utility. Hence, it is needed to optimize the physiochemical properties of epicatechin.


The present invention discloses the modification of physicochemical properties of epicatechin through co-crystal formation.


OBJECT OF THE INVENTION

An object of the present invention is to provide a co-crystal of epicatechin with a co-crystal former (e.g., trigonelline, proline), a process for preparation and composition comprising the co-crystal.


SUMMARY OF THE INVENTION

The present invention relates to a novel co-crystal of epicatechin with a co-crystal former. In one aspect, the present invention discloses novel co-crystals of epicatechin:aco-crystal former of Formula (I):




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In another aspect, the present invention provides a method for preparation of a novel co-crystal of epicatechin:aco-crystal former of Formula (I). The present invention also discloses pharmaceutical compositions comprising co-crystal of epicatechin:aco-crystal former of Formula (I) along with other pharmaceutically acceptable excipients. The present invention also discloses a co-crystal of epicatechin:aco-crystal former of Formula (I) with improved physicochemical and biopharmaceutical properties and pharmacological activity. In some embodiments, a co-crystal former is trigonelline. In some embodiments, a co-crystal former is proline.


In yet another aspect, the co-crystals and the pharmaceutical compositions of the present invention are useful in treating diseases or disorders that would benefit from modification of Electron transfer Chain (ETC) and particularly electron transfer chain IV.





BRIEF DESCRIPTION OF DRAWINGS


FIG. 1 shows a differential scanning calorimetry (DSC) pattern of Compound 101 prepared as described in Example 1.



FIG. 2 shows a differential scanning calorimetry (DSC) pattern of Compound 102 prepared as described in Example 1.



FIG. 3 shows a differential scanning calorimetry (DSC) pattern of Compound 103 prepared as described in Example 1.



FIG. 4 shows a differential scanning calorimetry (DSC) pattern of Compound 104 prepared as described in Example 1.



FIG. 5 shows a differential scanning calorimetry (DSC) pattern of Compound 105 prepared as described in Example 1.



FIG. 6 shows a differential scanning calorimetry (DSC) pattern of Compound 106 prepared as described in Example 1.



FIG. 7 shows a differential scanning calorimetry (DSC) pattern of Compound 107.



FIG. 8 shows a differential scanning calorimetry (DSC) pattern of Compound 108.



FIG. 9 shows a differential scanning calorimetry (DSC) pattern of trigonelline.



FIG. 10 shows an experimental X-ray powder diffraction (PXRD) pattern of Compound 101.



FIG. 11 shows an experimental X-ray powder diffraction (PXRD) pattern of Compound 104.



FIG. 12 shows an experimental X-ray powder diffraction (PXRD) pattern of Compound 106.



FIG. 13 shows an overlay infrared spectroscopy pattern of Compound 101, Compound 108, and trigonelline.



FIG. 14 shows plasma levels of (+) epicatechin (SPR590, Compound 108) and its 1:1 co-crystal with trigonelline (SPR515, Compound 104) at various time points.



FIG. 15 shows a differential scanning calorimetry (DSC) pattern of Compound 101 prepared as described in Example 6.



FIG. 16 shows a differential scanning calorimetry (DSC) pattern of Compound 104 prepared as described in Example 7.



FIG. 17 shows a H NMR spectrum of Compound 104 in DMSO showing 1:1 stoichiometry of (+) epicatechin and trigonelline.



FIG. 18 shows a differential scanning calorimetry (DSC) pattern of Compound 109 prepared as described in Example 8.



FIG. 19 shows a differential scanning calorimetry (DSC) pattern of Compound 110 prepared as described in Example 9.



FIG. 20 shows an experimental X-ray powder diffraction (PXRD) pattern of Compound 108.





DETAILED DESCRIPTION OF THE INVENTION

The present invention relates to a co-crystal comprising epicatechin with a co-crystal former of Formula (I), and processes for preparation thereof.


As used herein, the term “co-crystal” denotes crystalline molecular complexes, encompassing hydrates and solvates. “Co-crystals” are composed of multi-component, stoichiometric and neutral molecular species, each existing as a solid under ambient conditions.


Co-crystals exhibit properties different from free drugs or salts. The solid form influences relevant physico-chemical parameters such as solubility, dissolution rate of the drug, chemical stability, melting point, and hygroscopicity, which can result in solids with superior properties.


As used herein and in the appended claims, the singular forms “a”, “an” and “the” include plural forms, unless the context clearly dictates otherwise.


As used herein, and unless otherwise specified, the terms “about” and “approximately,” when used in connection with doses, amounts, molar percent, or weight percent of ingredients of a composition or a dosage form, mean a dose, amount, molar percent, or weight percent that is recognized by those of ordinary skill in the art to provide a pharmacological effect equivalent to that obtained from the specified dose, amount, molar percent, or weight percent. Specifically, the terms “about” and “approximately,” when used in this context, contemplate a dose, amount, molar percent, or weight percent within 15%, within 10%, within 5%, within 4%, within 3%, within 2%, within 1%, or within 0.5% of the specified dose, amount, molar percent, or weight percent.


As used herein, “therapeutically effective amount” indicates an amount that results in a desired pharmacological and/or physiological effect for the condition. The effect may be prophylactic in terms of completely or partially preventing a condition or symptom thereof and/or may be therapeutic in terms of a partial or complete cure for the condition and/or adverse effect attributable to the condition.


As used herein, the term “pharmaceutically acceptable excipient,” and cognates thereof, refers to adjuvants, binders, diluents, etc. known to the skilled artisan that are suitable for administration to an individual (e.g., a mammal or non-mammal). Combinations of two or more excipients are also contemplated. The pharmaceutically acceptable excipient(s) and any additional components, as described herein, should be compatible for use in the intended route of administration (e.g., oral, parenteral) for a particular dosage form, as would be recognized by the skilled artisan.


The terms “treat,” “treating,” and “treatment” are meant to include alleviating or abrogating a disorder, disease, or condition, or one or more of the symptoms associated with the disorder, disease, or condition; or to slowing the progression, spread or worsening of a disease, disorder or condition or of one or more symptoms thereof. Often, the beneficial effects that a subject derives from a therapeutic agent do not result in a complete cure of the disease, disorder or condition.


The term “subject” refers to an animal, including, but not limited to, a primate (e.g., human), monkey, cow, pig, sheep, goat, horse, dog, cat, rabbit, rat, or mouse. The terms “subject” and “patient” are used interchangeably herein in reference, for example, to a mammalian subject, such as a human.


As used herein, the term “substantially as shown in” when referring, for example, to an XRPD pattern or a DSC graph, includes a pattern or graph that is not necessarily identical to those depicted herein, but that falls within the limits of experimental error or deviations when considered by one of ordinary skill in the art.


Co-Crystals

As used herein the co-crystals of the present invention include epicatechin and a co-crystal former of Formula (I):




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or a stereoisomer thereof, wherein


n is 0, 1, 2, or 3;


m is 0, 1, 2, 3, or 4;



custom-character indicates that ring A is saturated, partially unsaturated, or fully unsaturated; and


R is hydrogen or alkyl, wherein the alkyl is unsubstituted or substituted with one or more substituents independently selected from the group consisting of halo, —CN, —OH, and haloalkyl.


The co-crystal former of Formula (I) may be in zwitter-ionic form or in a form in which all atoms have neutral charge. In some instances, the co-crystal former of Formula (I) may be depicted in a positively charged form, such as when the nitrogen of ring A is positively charged and the carboxylate is present in the COOH form. In some embodiments, the co-crystal former of Formula (I) may be depicted in a negatively charged form, such as when the carboxylate is present in in the COO form and the nitrogen of ring A is neutral.


In some embodiments, ring A is saturated. In some embodiments, ring A is fully unsaturated. In some embodiments, ring A is partially unsaturated. In some embodiments ring A is a pyridinium. In some embodiments, ring A is pyrrolidinium. In some embodiments, ring A is azetidinium.


In some embodiments, n is 0. In some embodiments, n is 1. In some embodiments, n is 2. In some embodiments, n is 3. In some embodiments, m is 0. In some embodiments, m is 1. In some embodiments, m is 2. In some embodiments, m is 4. In some embodiments, n is 1 and m is 2. In some embodiments, n is 0 and m is 2. In some embodiments, n is 1 and m is 0. In some embodiments, n is 0 or 1, and m is 1 or 2.


In some embodiments, n is 1, m is 2, and ring A is fully unsaturated (i.e., aromatic). In some embodiments, n is 0, m is 2, and ring A is saturated. In some embodiments, n is 1, m is 0, and ring A is saturated.


In some embodiments R is hydrogen. In some embodiments, the R is unsubstituted or substituted C1-C6 alkyl. In some embodiments, the R is alkyl substituted with one or more substituents independently selected from the group consisting of halo, —CN, —OH, and haloalkyl. In some embodiments, the R is C1-C6 alkyl substituted with one or more groups selected from the group consisting of halo, CN, —OH, and C1-C6 haloalkyl. In some embodiments, R is methyl. In some embodiments, R is ethyl.


In some embodiments, ring A is fully unsaturated, and R is hydrogen. In some embodiments, ring A is saturated and R is hydrogen. In some embodiments, ring A is fully unsaturated, and R is methyl. In some embodiments, ring A is saturated and R is methyl.


In some embodiments, the co-crystal former of Formula (I) is a co-crystal former of Formula (Ia):




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In some embodiments, the co-crystal former of Formula (I) is a co-crystal former of Formula (Ib):




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In some embodiments, the co-crystal former of Formula (I) is in an R stereochemical configuration. In some embodiments, the co-crystal former of Formula (I) is in an S stereochemical configuration. In some embodiments, the co-crystal former of Formula (I) is in an L stereochemical configuration. In some embodiments, the co-crystal former of Formula (I) is in a D stereochemical configuration.


In some embodiments, a co-crystal former is trigonelline. The structure of trigonelline, specifically used according to the present invention is shown below:




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or a neutral (e.g., zwitterion) form thereof.


In some embodiments, a co-crystal former is proline. In some embodiments, the proline is D-proline. In some embodiments, the proline is L-proline. The structure of proline, specifically used according to the present invention is shown below:




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Without being bound by any particular theory, it is believed that epicatechin and the co-crystal former are bonded together through hydrogen bonds (e.g., via the alpha-carboxylic acid group of the co-crystal former). Other non-covalent interactions, including pi-stacking and van der Waals interactions, may also be present. It is also believed that the ring, either aromatic or non-aromatic, of the co-crystal former provides appropriate rigidness to form a co-crystal with (+) epicatechin or (−) epicatechin. To give an example, (+) epicatechin and trigonelline at a molar ratio of 1:1 may form a co-crystal as depicted below:




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The present invention discloses a novel co-crystal of epicatechin:trigonelline in some embodiments. In other embodiments, a novel co-crystal of epicatechin:proline is disclosed. In some embodiments the proline is D-proline. In some embodiments, the proline is L-proline.


The epicatechin used in the present invention may be epicatechin, (+) epicatechin, (−) epicatechin or racemic mixture of epicatechin. The structures of (+) epicatechin and (−) epicatechin are shown below:




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In some embodiments, epicatechin is enantiomercally pure or enatiomerically enriched. In some embodiments, the epicatechin is enatiomerically pure or enatiomerically enriched (+) epicatechin. In other embodiments, the epicatechin is enatiomerically pure or enatiomerically enriched (−) epicatechin. The purity of the enatiomerically pure or enatiomerically enriched (+)/(−) epicatechin is at least 80%, 85%, 90%, 91%, 92%, 93%, 94%, 95%, 96%, 97%, 98%, 99%, 99.5%, 99.8%, 99.9%, or 100%.


Co-crystals described herein can have a purity of at least 80%, 85%, 90%, 91%, 92%, 93%, 94%, 95%, 96%, 97%, 98%, 99%, 99.5%, 99.8%, or 99.9% In some embodiments, provided is a co-crystal of (+) epicatechin:trigonelline. In some embodiments, provided is a co-crystal of (−) epicatechin:trigonelline. In some embodiments, provided is a co-crystal of (+) epicatechin:D-proline. In some embodiments, provided is a co-crystal of (+) epicatechin:L-proline.


The co-crystal of epicatechin:aco-crystal former of Formula (I) may be present in various ratios. In some embodiments, the ratio is in the range of 1:3 to 3:1. The ratio can be a molar ratio or a weight ratio. In some embodiments, the co-crystal contains epicatechin:a co-crystal former of Formula (I) at a ratio of from about 1:3 to about 3:1, from about 1:2 to about 2:1, from about 1:3 to about 2:1, from about 1:2 to about 3:1, from about 3:1 to about 1:1, or from about 1:1 to about 1:3. In some embodiments, the co-crystal contains epicatechin:aco-crystal former of Formula (I) at a ratio of about 1:3, about 1:2.5, about 1:2, about 1:1.5, about 1:1, about 1.5:1, about 2:1, about 2.5:1, or about 3:1. In some embodiments, the co-crystal contains epicatechin:aco-crystal former of Formula (I) at a ratio of about 1:1. In some embodiments, the co-crystal contains (+) epicatechin:aco-crystal former of Formula (I) at a ratio of from about 1:3 to about 3:1, from about 1:2 to about 2:1, from about 1:3 to about 2:1, from about 1:2 to about 3:1, from about 3:1 to about 1:1, or from about 1:1 to about 1:3. In some embodiments, the co-crystal contains (+) epicatechin:a co-crystal former of Formula (I) at a ratio of about 1:3, about 1:2.5, about 1:2, about 1:1.5, about 1:1, about 1.5:1, about 2:1, about 2.5:1, or about 3:1. In some embodiments, the co-crystal contains (+) epicatechin:aco-crystal former of Formula (I) at a ratio of about 1:1. In some embodiments, the co-crystal contains (−) epicatechin:aco-crystal former of Formula (I) at a ratio of from about 1:3 to about 3:1, from about 1:2 to about 2:1, from about 1:3 to about 2:1, from about 1:2 to about 3:1, from about 3:1 to about 1:1, or from about 1:1 to about 1:3. In some embodiments, the co-crystal contains (−) epicatechin:aco-crystal former of Formula (I) at a ratio of about 1:3, about 1:2.5, about 1:2, about 1:1.5, about 1:1, about 1.5:1, about 2:1, about 2.5:1, or about 3:1. In some embodiments, the co-crystal contains (−) epicatechin:aco-crystal former of Formula (I) at a ratio of about 1:1.


In some embodiments, the co-crystal contains epicatechin:trigonelline at a ratio of from about 1:3 to about 3:1, from about 1:2 to about 2:1, from about 1:3 to about 2:1, from about 1:2 to about 3:1, form about 3:1 to about 1:1, or from about 1:1 to about 1:3. In some embodiments, the co-crystal contains epicatechin:trigonelline at a ratio of about 1:3, about 1:2.5, about 1:2, about 1:1.5, about 1:1, about 1.5:1, about 2:1, about 2.5:1, or about 3:1. In some embodiments, the co-crystal contains epicatechin:trigonelline at a ratio of about 1:1. In some embodiments, the co-crystal contains epicatechin:proline at a ratio of from about 1:3 to about 3:1, from about 1:2 to about 2:1, from about 1:3 to about 2:1, from about 1:2 to about 3:1, from about 3:1 to about 1:1, or from about 1:1 to about 1:3. In some embodiments, the co-crystal contains epicatechin:proline at a ratio of about 1:3, about 1:2.5, about 1:2, about 1:1.5, about 1:1, about 1.5:1, about 2:1, about 2.5:1, or about 3:1. In some embodiments, the co-crystal contains epicatechin:proline at a ratio of about 1:1.


In some embodiments, the co-crystal contains (+) epicatechin:trigonelline at a ratio of from about 1:3 to about 3:1, from about 1:2 to about 2:1, from about 1:3 to about 2:1, from about 1:2 to about 3:1, from about 3:1 to about 1:1, or from about 1:1 to about 1:3. In some embodiments, the co-crystal contains (+) epicatechin:trigonelline at a ratio of about 1:3, about 1:2.5, about 1:2, about 1:1.5, about 1:1, about 1.5:1, about 2:1, about 2.5:1, or about 3:1. In some embodiments, the co-crystal contains (+) epicatechin:trigonelline at a ratio of about 1:1. In some embodiments, the co-crystal contains (−) epicatechin:trigonelline at a ratio of from about 1:3 to about 3:1, from about 1:2 to about 2:1, from about 1:3 to about 2:1, form about 1:2 to about 3:1, from about 3:1 to about 1:1, or from about 1:1 to about 1:3. In some embodiments, the co-crystal contains (−) epicatechin:trigonelline at a ratio of about 1:3, about 1:2.5, about 1:2, about 1:1.5, about 1:1, about 1.5:1, about 2:1, about 2.5:1, or about 3:1. In some embodiments, the co-crystal contains (−) epicatechin:trigonelline at a ratio of about 1:1.


In some embodiments, the co-crystal contains (+) epicatechin:D-proline at a ratio of from about 1:3 to about 3:1, from about 1:2 to about 2:1, from about 1:3 to about 2:1, from about 1:2 to about 3:1, from about 3:1 to about 1:1, or from about 1:1 to about 1:3. In some embodiments, the co-crystal contains (+) epicatechin:D-proline at a ratio of about 1:3, about 1:2.5, about 1:2, about 1:1.5, about 1:1, about 1.5:1, about 2:1, about 2.5:1, or about 3:1. In some embodiments, the co-crystal contains (+) epicatechin:D-proline at a ratio of about 1:1. In some embodiments, the co-crystal contains (−) epicatechin:L-proline at a ratio of from about 1:3 to about 3:1, from about 1:2 to about 2:1, from about 1:3 to about 2:1, from about 1:2 to about 3:1, from about 3:1 to about 1:1, or from about 1:1 to about 1:3. In some embodiments, the co-crystal contains (−) epicatechin:L-proline at a ratio of about 1:3, about 1:2.5, about 1:2, about 1:1.5, about 1:1, about 1.5:1, about 2:1, about 2.5:1, or about 3:1. In some embodiments, the co-crystal contains (−) epicatechin:L-proline at a ratio of about 1:1.


The present invention provides co-crystals that can be characterized by an X-ray diffraction pattern having characteristic peaks, in terms of 20. The relative intensities of the peaks can vary, depending upon the sample preparation technique, the sample mounting procedure and the particular instrument employed. Moreover, instrument variation and other factors can affect the 2-theta values. In some embodiments, the XRPD peak assignments can vary by plus or minus about 0.2°.


In some embodiments, a co-crystal of (−) epicatechin:trigonelline at a molar ratio of 1:1 is characterized by an X-Ray diffraction pattern comprising a peak, in terms of 20, at about 17.6°. In some embodiments, the X-Ray diffraction pattern further includes characteristic peaks, in terms of 20, at about 18.0°, about 19.0° and/or about 13.6°. In some embodiments, the X-Ray diffraction pattern further includes characteristic peaks, in terms of 2θ, at about 27.0°, about 16.4°, about 20.9°, about 22.5°, about 23.6°, about 25.0°, about 25.7°, and/or about 29.0°. In some embodiments, the co-crystal of (−) epicatechin:trigonelline at a molar ratio of 1:1 is characterized by an X-Ray diffraction pattern substantially as shown in FIG. 10.


In some embodiments, a co-crystal of (+) epicatechin:trigonelline at a molar ratio of 1:1 is characterized by an X-Ray diffraction pattern comprising a peak, in terms of 20, at about 13.6°. In some embodiments, the X-Ray diffraction pattern further includes a characteristic peak, in terms of 20, at about 19.0°. In some embodiments, the X-Ray diffraction pattern further includes characteristic peaks, in terms of 20, at about 6.9°, about 16.4°, about 17.6°, about 18.0°, about 22.5°, and/or about 27.9°. In some embodiments, the co-crystal of (+) epicatechin:trigonelline at a molar ratio of 1:1 is characterized by an X-Ray diffraction pattern substantially as shown in FIG. 11.


In some embodiments, a co-crystal of (+) epicatechin:trigonelline at a molar ratio of 1:2 is characterized by an X-Ray diffraction pattern comprising a peak, in terms of 20, at about 13.6°. In some embodiments, the X-Ray diffraction pattern further includes characteristic peaks, in terms of 20, at about 19.0° and/or about 18.0°. In some embodiments, the X-Ray diffraction pattern further includes characteristic peaks, in terms of 20, at about 11.2°, about 16.4°, about 17.7°, about 22.5°, and/or about 27.9°. In some embodiments, the co-crystal of (+) epicatechin:trigonelline at a molar ratio of 1:2 is characterized by an X-Ray diffraction pattern substantially as shown in FIG. 12.


The co-crystals can also be identified by its characteristic differential scanning calorimetry (DSC) trace. In some embodiments, the co-crystals provided herein have characteristic differential scanning calorimetry (DSC) patterns substantially as shown in FIGS. 1-6, 15, 16, 18 and 19.


In some embodiments, a co-crystal of (−) epicatechin:trigonelline at a molar ratio of 1:1 is characterized by a melting point ranging from about 169 to about 175° C. In some embodiments, a co-crystal of (+) epicatechin:trigonelline at a molar ratio of 1:1 is characterized by a meting point ranging from about 165 to about 178° C. or from about 165 to about 169° C. In some embodiments, a co-crystal of (+) epicatechin:trigonelline at a molar ratio of 1:2 is characterized by a melting point ranging from about 172 to about 185° C. In some embodiments, a co-crystal of (+) epicatechin:(D) proline at a molar ratio of 1:1 is characterized by a melting point ranging from about 198 to about 202° C. In some embodiments, a co-crystal of (−) epicatechin:(L) proline at a molar ratio of 1:1 is characterized by a melting point ranging from about 195 to about 198° C.


Compositions

In another embodiment, the present invention provides pharmaceutical compositions comprising co-crystals of epicatechin:aco-crystal former of Formula (I) together with one or more pharmaceutically acceptable excipients. In some embodiments, the composition comprises one co-crystalline form of epicatechin:aco-crystal former of Formula (I). In some embodiments, the composition comprises two or more co-crystalline forms of epicatechin:a co-crystal former of Formula (I). For example, the pharmaceutical composition in the present invention can contain co-crystals of (+)/(−) epicatechin:trigonelline, co-crystals of (+)/(−) epicatechin:proline, or any combination thereof.


In some embodiments, provided is a pharmaceutical composition comprising a co-crystal of (+) epicatechin:trigonelline. In some embodiments, provided is a pharmaceutical composition comprising a co-crystal of (−) epicatechin:trigonelline. In some embodiments, provided is a pharmaceutical composition comprising a co-crystal of (+) epicatechin:D-proline. In some embodiments, provided is a pharmaceutical composition comprising a co-crystal of (+) epicatechin:L-proline.


The pharmaceutical composition comprising a co-crystal of epicatechin:aco-crystal former of Formula (I) present in various ratios. In some embodiments, the ratio is in the range of 1:3 to 3:1. The ratio can be a molar ratio or a weight ratio. In some embodiments, the co-crystal in the pharmaceutical composition contains epicatechin:aco-crystal former of Formula (I) at a ratio of from about 1:3 to about 3:1, from about 1:2 to about 2:1, from about 1:3 to about 2:1, from about 1:2 to about 3:1, from about 3:1 to about 1:1, or from about 1:1 to about 1:3. In some embodiments, the co-crystal in the pharmaceutical composition contains epicatechin:aco-crystal former of Formula (I) at a ratio of about 1:3, about 1:2.5, about 1:2, about 1:1.5, about 1:1, about 1.5:1, about 2:1, about 2.5:1, or about 3:1. In some embodiments, the co-crystal in the pharmaceutical composition contains epicatechin:aco-crystal former of Formula (I) at a ratio of about 1:1. In some embodiments, the co-crystal in the pharmaceutical composition contains (+) epicatechin:aco-crystal former of Formula (I) at a ratio of from about 1:3 to about 3:1, from about 1:2 to about 2:1, from about 1:3 to about 2:1, from about 1:2 to about 3:1, from about 3:1 to about 1:1, or from about 1:1 to about 1:3. In some embodiments, the co-crystal in the pharmaceutical composition contains (+) epicatechin:aco-crystal former of Formula (I) at a ratio of about 1:3, about 1:2.5, about 1:2, about 1:1.5, about 1:1, about 1.5:1, about 2:1, about 2.5:1, or about 3:1. In some embodiments, the co-crystal in the pharmaceutical composition contains (+) epicatechin:a co-crystal former of Formula (I) at a ratio of about 1:1. In some embodiments, the co-crystal in the pharmaceutical composition contains (−) epicatechin:aco-crystal former of Formula (I) at a ratio of from about 1:3 to about 3:1, from about 1:2 to about 2:1, from about 1:3 to about 2:1, from about 1:2 to about 3:1, from about 3:1 to about 1:1, or from about 1:1 to about 1:3. In some embodiments, the co-crystal in the pharmaceutical composition contains (−) epicatechin:aco-crystal former of Formula (I) at a ratio of about 1:3, about 1:2.5, about 1:2, about 1:1.5, about 1:1, about 1.5:1, about 2:1, about 2.5:1, or about 3:1. In some embodiments, the co-crystal in the pharmaceutical composition contains (−) epicatechin:a co-crystal former of Formula (I) at a ratio of about 1:1.


In some embodiments, the co-crystal in the pharmaceutical composition contains epicatechin:trigonelline at a ratio of from about 1:3 to about 3:1, from about 1:2 to about 2:1, from about 1:3 to about 2:1, from about 1:2 to about 3:1, from about 3:1 to about 1:1, or from about 1:1 to about 1:3. In some embodiments, the co-crystal contains epicatechin; trigonelline at a ratio of about 1:3, about 1:2.5, about 1:2, about 1:1.5, about 1:1, about 1.5:1, about 2:1, about 2.5:1, or about 3:1. In some embodiments, the co-crystal in the pharmaceutical composition contains epicatechin:trigonelline at a ratio of about 1:1. In some embodiments, the co-crystal in the pharmaceutical composition contains epicatechin:proline at a ratio of from about 1:3 to about 3:1, from about 1:2 to about 2:1, from about 1:3 to about 2:1, from about 1:2 to about 3:1, from about 3:1 to about 1:1, or from about 1:1 to about 1:3. In some embodiments, the co-crystal in the pharmaceutical composition contains epicatechin:proline at a ratio of about 1:3, about 1:2.5, about 1:2, about 1:1.5, about 1:1, about 1.5:1, about 2:1, about 2.5:1, or about 3:1. In some embodiments, the co-crystal in the pharmaceutical composition contains epicatechin:proline at a ratio of about 1:1.


In some embodiments, the co-crystal in the pharmaceutical composition contains (+) epicatechin:trigonelline at a ratio of from about 1:3 to about 3:1, from about 1:2 to about 2:1, from about 1:3 to about 2:1, from about 1:2 to about 3:1, from about 3:1 to about 1:1, or from about 1:1 to about 1:3. In some embodiments, the co-crystal in the pharmaceutical composition contains (+) epicatechin:trigonelline at a ratio of about 1:3, about 1:2.5, about 1:2, about 1:1.5, about 1:1, about 1.5:1, about 2:1, about 2.5:1, or about 3:1. In some embodiments, the co-crystal in the pharmaceutical composition contains (+) epicatechin:trigonelline at a ratio of about 1:1. In some embodiments, the co-crystal in the pharmaceutical composition contains (−) epicatechin:trigonelline at a ratio of from about 1:3 to about 3:1, from about 1:2 to about 2:1, from about 1:3 to about 2:1, from about 1:2 to about 3:1, from about 3:1 to about 1:1, or from about 1:1 to about 1:3. In some embodiments, the co-crystal in the pharmaceutical composition contains (−) epicatechin:trigonelline at a ratio of about 1:3, about 1:2.5, about 1:2, about 1:1.5, about 1:1, about 1.5:1, about 2:1, about 2.5:1, or about 3:1. In some embodiments, the co-crystal in the pharmaceutical composition contains (−) epicatechin:trigonelline at a ratio of about 1:1.


In some embodiments, the co-crystal in the pharmaceutical composition contains (+) epicatechin:D-proline at a ratio of from about 1:3 to about 3:1, from about 1:2 to about 2:1, from about 1:3 to about 2:1, from about 1:2 to about 3:1, from about 3:1 to about 1:1, or from about 1:1 to about 1:3. In some embodiments, the co-crystal in the pharmaceutical composition contains (+) epicatechin:D-proline at a ratio of about 1:3, about 1:2.5, about 1:2, about 1:1.5, about 1:1, about 1.5:1, about 2:1, about 2.5:1, or about 3:1. In some embodiments, the co-crystal in the pharmaceutical composition contains (+) epicatechin:D-proline at a ratio of about 1:1. In some embodiments, the co-crystal in the pharmaceutical composition contains (−) epicatechin:L-proline at a ratio of from about 1:3 to about 3:1, from about 1:2 to about 2:1, from about 1:3 to about 2:1, from about 1:2 to about 3:1, from about 3:1 to about 1:1, or from about 1:1 to about 1:3. In some embodiments, the co-crystal in the pharmaceutical composition contains (−) epicatechin:L-proline at a ratio of about 1:3, about 1:2.5, about 1:2, about 1:1.5, about 1:1, about 1.5:1, about 2:1, about 2.5:1, or about 3:1. In some embodiments, the co-crystal in the pharmaceutical composition contains (−) epicatechin:L-proline at a ratio of about 1:1.


Methods of Preparation

In another aspect, the present invention provides a process for preparing a novel co-crystal of epicatechin:aco-crystal former of Formula (I). In some embodiments, the process comprises the following steps:


(i) dissolving epicatechin and a co-crystal former of Formula (I) in a solvent to obtain a solution;


(ii) heating the solution obtained from step (i);


(iii) resting the heated solution of step (ii); and


(iv) obtaining the co-crystals.


In some embodiments of any of the methods of preparing a co-crystal provided herein, the co-crystal former of Formula (I) is added to the solvent in a neutral form, including a zwitter-ionic form. In some embodiments of any of the methods of preparing a co-crystal provided herein, the co-crystal former of Formula (I) is added to the solvent in a positively charged (e.g., salt) form. In some embodiments of any of the methods of preparing a co-crystal provided herein, the co-crystal former of Formula (I) is added to the solvent in a negatively charged (e.g., salt) form. In some. In some embodiments, an epicatechin:trigonelline co-crystal is prepared using trigonelline hydrochloride.


Epicatechin, including (+) epicatechin and (−) epicatechin, can be prepared using methods including, without limitation, as described in WO2012/101652 and WO2014/115174, which are incorporated by reference herein in their entirety.


The solvent in the process of the present invention may be an organic solvent or an aqueous solvent or mixtures thereof. The solvent may preferably be selected from the group consisting of water; alcohols such as methanol, ethanol, 1-propanol, 2-propanol (isopropanol), 1-butanol, 2-butanol, t-butyl alcohol, 1-pentanol, 2-pentanol, 2-ethoxyethanol, ethylene glycol, glycerol, and the like: and any mixtures thereof, preferably the solvent is ethanol or 2-propanol. Aqueous alcoholic solutions are preferred. In some embodiments, an organic solution or an aqueous solution comprises two or more solvents, for example, water and ethanol or water and isopropanol. In some embodiments, two solvents may be present in a molar or weight ratio that varies in the range of 1:100 to 100:1, 1:10 to 10:1, or 1:3 to 3:1. In some embodiments, two solvents may be present in a molar or weight ratio of about 1:100, about 1:50, about 1:20, about 1:10, about 1:5, about 1:3, about 1:2, about 1:1, about 2:1, about 3:1, about 5:1, about 10:1, about 20:1, about 50:1, or about 100:1. In some embodiments, the solvent is ethanol:water (1:1). In some embodiments, the solvent is isopropanol.


The solution may be heated at a temperature between 50 to 60° C., preferably at temperature between 55 to 58° C. until a clear solution is obtained. In some embodiments, the solution is heated at a temperature of from about 40 to about 100, from about 50 to about 80, from about 60 to about 70, from about 65 to about 75, or from about 70 to about 80° C. In some embodiments, the solution is heated at a temperature of from about 65 to about 75, such as about 70° C.


The solution may be rested for a period of 1 hour to 7 days (e.g., 1-7 days) at a temperature lower than the heated temperature (e.g., in a range of 25-37° C.). The temperature can range from 0-40° C., for example, at about 4° C., at about 20° C., at about 25° C., or at about 37° C. In some embodiments, the solution is rested for a period of about 1 day, about 2 days, about 3 days, about 4 days, about 5 days, about 6 days, or about 7 days. In some embodiments, the solution is rested for a period of about 2 hours, about 12 hours, about 16 hours, about 18 hours, about 20 hours, about 24 hours, about 36 hours, about 48 hours, about 60 hours, about 72 hours, or about 90 hours. In some embodiments, resting the heated solution includes cooling the solution below mom temperature, for example at refrigeration temperature (e.g., 4° C.). The solution may be cooled to 4° C. for a period of about 1, about 2, about 3, about 4, about 5, about 6, or about 7 days. In some embodiments, the solution is cooled to 4° C. for a period of about 12, about 24, about 36, about 48, about 60, about 72, or about 90 hours. In some embodiments, the solution is rested for a period of about 1, about 2, about 3, about 4, about 5, about 6, or about 7 days at a temperature in the range of about 0 to about 40, about 10 to about 30, about 0 to about 10, about 10 to about 20, about 20 to about 30, or about 30 to about 40° C. In some embodiments, the solution is rested for a period of about 24 hours at 15-20° C. (e.g., 18° C.). In some embodiments, the solution is rested for a period of about 48 hours at 15-20° C. (e.g., 18° C.). In some embodiments, the solution is rested for a period of about 16 hours at 2-6° C. (e.g., 4° C.). The resting can be conducted in one or more steps, each at a different temperature for a certain period of time. In some embodiments, the solution is kept at room temperature for 2 h and then kept at 4° C. (refrigerator) for 16 h.


In some embodiments, the yield of co-crystal is at least about 10%, about 15%, about 20%, about 25%, about 30%, about 35%, about 40%, about 45%, about 50%, about 55%, about 60%, about 65%, about 70%, about 75%, about 80%, about 85%, about 90%, or about 95%.


The co-crystal formed may be evaluated for its physicochemical parameters using methods known in the art, including through analytical techniques such as infrared (IR) spectroscopy, X-ray powder diffraction (XRPD, also referred to as PXRD), differential scanning calorimetry (DSC), and the like.


Pharmacokinetics and Pharmacodynamics

The co-crystals described herein may exhibit advantageous properties, for instance, in comparison to (+) or (−) epicatechin not in a co-crystalline form. The co-crystals of the present invention improve the pharmacokinetic profile of epicatechin, both in terms of Cmax and AUC. The co-crystals of the present invention decrease the number of doses needed to achieve a desired effect, and/or create a more effective and/or a safer drug of epicatechin. The co-crystals have pharmacokinetic and pharmacodynamic advantages. The co-crystals provided herein may have improvements compared to epicatechin not in a co-crystalline form with respect to any one of more of the following properties: solubility is increased, bioavailability is increased, stability is increased, dose-response is increased, pharmacokinetic profile (e.g., Cmax, AUC) is improved; and inter-subject variability is reduced.


Pharmacokinetic (PK) and pharmacodynamic (PD) properties of the co-crystals can be assessed using methods known in the art. For example, PK and/or PD properties may be evaluated in animal models such as SD rats. The co-crystal may be dosed in suitable vehicle, such as a vehicle in which it retains its co-crystalline form. Vehicles that may be used for PK and/or PD analysis of the co-crystals described herein include, without limitation, carboxymethylcellulose (CMC) and Tween 80.


In some embodiments, the co-crystal of epicatechin (e.g., (+) epicatechin, (−) epicatechin) has a Cmax that is at least 10%, 20%, 30%, 40%, 50%, 60%, 70%, 80%, 90%, 100%, 125%, 150%, 175%, 200%, 250%, 300%, 350%, or 400% greater than the Cmax for epicatechin (e.g., (+) epicatechin, (−) epicatechin) not in a co-crystalline form. In some embodiments, the co-crystal of epicatechin (e.g., (+) epicatechin, (−) epicatechin) has a Cmax of at least about 400, about 500, about 600, about 700, about 800, about 900, or about 1000 nM. In some embodiments, the co-crystal of epicatechin (e.g., (+) epicatechin, (−) epicatechin) has an AUC that is at least 10%, 20%, 30%, 40%, 50%, 60%, 70%, 80%, 90%, 100%, 125%, 150%, 175%, 200%, 250%, 300%, 350%, or 400% greater than the AUC for epicatechin (e.g., (+) epicatechin, (−) epicatechin) not in a co-crystalline form. In some embodiments, the co-crystal of epicatechin (e.g., (+) epicatechin, (−) epicatechin) has an AUC of at least about 700, about 800, about 900, about 1000, about 1100, about 1200, about 1300, about 1400, about 1500, about 1600, about 1700, about 1800, about 1900, or about 2000 nM.


Methods of Use

The co-crystals of the present invention are used to improve the physicochemical properties of pharmaceutical and nutraceutical ingredients.


The co-crystals of the present invention may be used for all indications in which epicatechin is indicated, including, without limitation, any of the disease or conditions described in WO2012/170430, WO2013/022846, WO2013/142816, US2018/0193306, WO2014/162320, WO2017/221269, and WO2018/083713, each of which is hereby incorporated by reference in its entirety.


In yet another aspect, the present invention provides methods for treating diseases or disorders that would benefit from increased expression of Electron transfer Chain (ETC), particularly ETC IV. The methods involve administering to a subject in need thereof a therapeutically effective amount of the co-crystals and the pharmaceutical compositions of the present invention.


The vast majority of the body's need for ATP is supplied through the process of oxidative phosphorylation, carried out in the mitochondria in all tissues. There are 5 protein complexes, known as the Electron Transport Complexes that effect ATP synthesis. ETC I, II, III, and IV mediate electron transport. ETC I, III, and IV also function as proton pumps that maintain an electrochemical gradient necessary for activity of ETC V, the ATP synthase enzyme that makes ATP from ADP. Complex r, also known as cytochrome c oxidase, (COX), consists of 14 subunits whose assembly into a functional complex requires an additional 30 protein factors. ETC IV is particularly important to oxidative phosphorylation. It is the only one of the ETC complexes to manifest tissue-specific and developmentally regulated isoforms, allowing precise regulation of oxidative phosphorylation under a variety of metabolic demands. Thus the ETC IV (COX) protein complex is considered to be the rate-limiting step in oxidative phosphorylation. Small positive or negative changes in ETC IV can exert a significant impact on health. Selective activation of COX activity has been associated with improved cognition, improved neuronal cell survival under stress, and improved wound healing. Mutations in the numerous proteins that comprise or regulate the activity of ETC IV reveal the pathological consequences of even modest decreases in ETC IV activity. As little as a 30% reduction in COX activity has been shown to induce cardiomyopathy or be associated with the development of neurodegenerative diseases such as Alzheimers. Decreases in COX (ETCIV) expression due to mutations or molecular manipulation have been associated with loss of muscle endurance and speed, muscle dystonia, immunodeficiency states due to impaired T cell maturation, cardiomyopathy, particularly of the aging phenotype, ataxia, neurodegeneration, increased toxicity in the setting of ischemia, pulmonary inflammation and fibrosis, encephalopathy, vascular insufficiency, and stimulation of cancer cell proliferation. Additional specific diseases associated with COX subunit isoform mutations causing loss of function include exocrine pancreatic insufficiency, inflammatory lung disease, Charcot-Marie-Tooth disease, infantile encephalomyopathy, and Leigh syndrome neurodegeneration with epilepsy.


The following conditions associated with loss of COX expression or function would be expected to be therapeutically responsive to a potent, preferential inducer of COX (ETC IV) expression: impaired cognition, neurodegenerative diseases such as Alzheimer's or Leigh syndrome, dystonia, sarcopenia, cardiomyopathy of aging or other diseases associated with mitochondrial dysfunction, ischemic vascular disease, immunodeficiency states, ataxia, pulmonary inflammation and fibrosis, infantile encephalomyopathy, epilepsy, Charcot-Marie-Tooth disease, exocrine pancreatic insufficiency, impaired wound healing, growth of cancer cells.


In some embodiments, the co-crystals and pharmaceutical compositions provided herein may be used for inducing mitochondrial biogenesis, including biogenesis of any one or more of ETC I, II, III, IV, and V.


In addition, epicatechin can be used in lowering the elevated triglycerides so a co-crystal containing epicatechin would be use in medicament for conditions associated with elevated triglycerides, such as metabolic syndrome, Type II diabetes, congenital hyperlipidemias, and drug-induced hyperlipidemia, as is observed with corticosteroid treatments.


In another embodiment, provided are methods for prophylactic and/or therapeutic treatment of conditions related to mitochondrial dysfunction resulting from administration of one or more chemical compositions that exhibit mitochondrial toxicity. In some embodiments, the mitochondrial toxicity is identified based on or associated with one or more biological effects, which include, but are not limited to, abnormal mitochondrial respiration, abnormal oxygen consumption, abnormal extracellular acidification rate, abnormal mitochondrial number, abnormal lactate accumulation, and abnormal ATP levels. In some embodiments, the mitochondrial toxicity is identified based on or associated with one or more physiological manifestations, which include, but are not limited to, elevations in markers known to relate to injury to the heart, liver, and/or kidney, elevated serum liver enzymes, elevated cardiac enzymes, lactic acidosis, elevated blood glucose, and elevated serum creatinine. In another embodiment, provided are methods for treating chronic mitochondrial depletion and the symptoms arising as a result of drug-associated toxicity or as a combination of drug associated toxicity occurring within a background of biological depletion of mitochondrial number, as occurs in diabetes, obesity, and during the course of aging. In another embodiment, provided are methods for treating chronic perturbation of mitochondria function or structure, including chronic myopathy, sarcopenia, persistent diabetes, chronic fatigue syndromes, gastrointestinal symptoms, liver, and cardiovascular dysfunction and failure, neurological symptoms, impaired sleep, and persistent alteration in cognitive acuity or function, such as memory.


In another embodiment, provided are methods for treating, preventing, or reversing injury to skeletal or cardiac muscles, for treating or preventing diseases relating to the structure and function of skeletal or cardiac muscles, and for inducing regeneration or restructuring of skeletal or cardiac muscle as a means for treating disease relating to abnormalities in the skeletal or cardiac muscle structure and function in a subject.


In some embodiments, provided are methods for treatment of impaired skeletal or cardiac muscle function due to aging, obesity, disuse or inactivity, exposure to potentially toxic nutritional agents such as fructose, or exposure to inadequate nutrition such as starvation or malnutrition.


In some embodiments, provided are methods for the treatment of muscle-related side effects of athletic training or competition including soreness, cramping, weakness, pain, or injury.


In some embodiments, provided are methods for the treatment of skeletal or cardiac muscle diseases associated with ischemia, or impaired or inadequate blood flow. In some embodiments, the diseases are selected from the group consisting of atherosclerosis, trauma, diabetes, vascular stenosis, peripheral arterial disease, vasculopathy, and vasculitis.


In some embodiments, provided are methods for the treatment of diseases associated with genetic disorders that directly or indirectly affect the number, structure, or function of cardiac muscle cells or skeletal muscle cells. In some embodiments, the disease is selected from the group consisting of muscular dystrophies and Friedreich's ataxia.


In some embodiments, provided are methods for the treatment of diseases associated with impaired neurological control of muscular activity resulting in consequent abnormalities in structure and function of skeletal muscles due to inactivity, aberrant contractility, or contracted states. In some embodiments, the disease is selected from the group consisting of peripheral denervation syndromes, trauma, amyotrophic lateral sclerosis, meningitis, and structural abnormalities of the spine, whether congenital or acquired.


In some embodiments, provided are methods for the treatment of diseases associated with loss of number, loss of function, or loss of correct, optimally efficient internal organization of skeletal muscle cells or cardiac muscle cells. In some embodiments, the disease is muscle wasting. In some embodiments, the disease is sarcopenia. In some embodiments, sarcopenia is associated with a variety of disorders, including aging, diabetes, abnormal metabolic conditions, infection, inflammation, autoimmune disease, cardiac dysfunction, arthritis congestive heart failure, aging, myocarditis, myositis, polymyalgia rheumatica, polymyositis, HIV, cancer, side effects of chemotherapy, malnutrition, aging, inborn errors of metabolism, trauma, stroke, and neurological impairment.


In some embodiments, the method of treating diseases associated with loss of number, loss of function, or loss of correct, optimally efficient internal organization of skeletal muscle cells or cardiac muscle cells further comprises exercise or programmatic sequences or intensities of exercise.


In some embodiments, provided are methods for enhancing sports performance, endurance, building muscle shape or strength, or facilitating recovery from the effects of training or competition.


In some embodiments, provided are methods for treating muscle injury, weakness, or pain associated with the administration of medicines. In some embodiments, provided are methods for use to prevent, ameliorate, or reverse muscle injury associated with medicines that damage mitochondria and/or cause myopathy as a secondary consequence.


In some embodiments of any one of the embodiments disclosed above, the skeletal or cardiac muscle injury of dysfunction in the subject is identified based on or associated with one or more physiological manifestations, which include, but are not limited to, elevated plasma levels of cardiac or skeletal muscle enzymes or proteins, such as myoglobin, troponin, or creatine phosphokinase, lactic acidosis, and elevated serum creatinine.


In some embodiments, provided are methods for stimulating the increased number or function of skeletal muscle cells or contractile muscle cells. Such stimulation of muscle cells may comprise stimulation of one or more aspects of muscle cell function, including cell division, muscle cell regeneration, activation of muscle satellite cells and their differentiation into adult muscle cells, recovery from injury, increased number or function of mitochondria or processes serving mitochondrial function, increased expression of proteins contributing to contractility, regulation of biochemical or translational processes, mitoses, or transduction of mechanical energy via dystrophin or other attachment processes. The methods and compositions described herein can assist in prevention of the consequences of muscle injury or dysfunction which have not yet occurred, as well as provide for the active therapy of muscle injury, dysfunction, or diseases which have already occurred.


In some embodiments, provided are methods of using muscle proteins whose expression is stimulated by administration of a co-crystal or pharmaceutical composition provided herein as diagnostic biomarkers by which to determine the time and degree of muscle response to the therapeutic methods and compositions disclosed herein. Such biomarkers may be determined by measuring in tissue, plasma, blood, or urine the proteins themselves or the DNA or RNA nucleotides that encode for the proteins. In one embodiment, a decrease in the body of useful muscle proteins, such as dystrophin, or the presence of inhibitory proteins, such as thromobospondin, may be used to diagnose the severity of the abnormality of cardiac muscle structure or function or the probability of response to the therapeutic methods and compositions described herein. In another embodiment, changes in the levels of such biomarkers may be used to gauge the success or failure of certain therapeutic modalities, including those disclosed herein, in order to optimize the dose and to decide whether to maintain or change therapeutic methods and compositions.


In some embodiments, provided are methods of inducing follistatin production, inhibiting myostatin production, and/or increasing the ratio of follistatin to myostatin. This may be, for example, in associated with treating a muscle or bone condition or disorder.


Additional embodiments disclosed herein relate to a method to induce the increased cellular or muscular or bodily production of follistatin and follistatin-like proteins in order to reverse or ameliorate weakness of bone, thus preventing bone fractures, which may in some instances be caused by administration of compounds known to induce weakness of or damage to bone, impairment of bone generation, or impairment of bone growth, including but not limited to corticosteroids such as prednisone or deflazacort, anticonvulsants such as phenytoin and phenobarbital, chemotherapeutics such as aromatase inhibitors, and progestins. Further methods relate to inducing the increased cellular or muscular or bodily production of follistatin or follistatin-like proteins in order to reverse or ameliorate weakness of bone strength, thus preventing bone fractures, which may in some instances be associated with genetic predisposition, aging, inactive lifestyle, or low estrogen states such as menopause or post oophorectomy; a method to induce the increased cellular or muscular or bodily production of follistatin or follistatin-like proteins in order to reverse or ameliorate weakness of bone caused by medical conditions known to be associated with weakness of, or damage to, bone, impairment of bone generation, or impairment of bone growth, such celiac disease, kidney or liver disease, and immunomodulatory diseases such as systemic lupus erythematosus and rheumatoid arthritis, a method to induce the increased cellular or muscular or bodily production of follistatin or follistatin-like proteins in order to reverse or ameliorate weakness of bone in conjunction with the administration of other agents used to treat osteoporosis including calcium, Vitamin D, and calcitonin, in order to prevent bone fractures; a method to method to induce increased cellular or muscular or bodily production of follistatin or follistatin-like proteins as a therapeutic to accelerate the healing of bone fractures or to increase the degree of recovery from a bone fracture, such as those experienced in accidents, athletics, or combat; and a method to induce increased cellular or muscular or bodily production of follistatin or follistatin-like proteins in order to prevent systemic loss of bone density, and thus prevent subsequent bone fractures, during the recovery period after orthopedic surgery or after the onset of a disease or condition necessitating long periods of bed rest or physical inactivity, which are known to result in decreased bone density and muscle weakness.


In some embodiments, provided are methods for treating or preventing neurodegenerative diseases, such as amyotrophic lateral sclerosis (ALS), Parkinson's disease, Huntington's disease, spinal cord injury or abnormality, and peripheral and central neuropathies.


In some embodiments, provided arc methods for treating or preventing celiac disease, kidney disease, liver disease, inflammatory diseases such as systemic lupus erythematosus and rheumatoid arthritis, osteoporosis, and bone fracture.


Conditions that may be treated by the co-crystals, pharmaceutical compositions, and methods provided herein include: impaired skeletal and cardiac muscle function, recovery of skeletal or cardiac muscle health or function, functionally significant regeneration of skeletal or cardiac muscle cells or function.


In some embodiments, provided are methods for treating acute coronary syndromes, including but not limited to myocardial infarction and angina; acute ischemic events in other organs and tissues, renal injury, renal ischemia and diseases of the aorta and its branches; injuries arising from medical interventions, including but not limited to coronary artery bypass grafting (CABG) procedures and aneurysm repair; cancer; and metabolic diseases, diabetes mellitus and other such disorders.


In some embodiments, provided are methods for treating or preventing dystrophinopathy, such as Duchenne muscular dystrophy. Becker muscular dystrophy, and DMD-associated cardiomyopathy.


In some embodiments, provided are methods for treating or preventing sarcoglycanopathy, including α-sarcoglycanopathy (LGMD2D), β-sarcoglycanopathy (LGMD2E), γ-sarcoglycanopathy (LGMD2C), S-sarcoglycanopathy (LGMD2F) and s-sarcoglycanopathy (myoclonic dystonia). Sarcoglycanopathies include four subtypes of autosomal recessive limb-girdle muscular dystrophy (LGMD2C, LGMD2D, LGMD2E, and LGMD2F) that are caused, respectively, by mutations in the SGCG, SGCA, SGCB, and SGCD genes.


In some embodiments, provided are methods for treating or preventing dysferlinopathy, such as Miyoshi myopathy, scapuloperoneal syndrome, distal myopathy with anterior tibial onset, and elevated level of muscular enzyme CK.


Provided is a method of treating or preventing any of the diseases or conditions described herein in a subject in need thereof, comprising administering to the subject a therapeutically effective amount of a co-crystal or pharmaceutical composition provided herein. Also provided is a co-crystal provided herein for use the manufacture of a medicament for treating or preventing any of the diseases or conditions described herein in a subject in need thereof. Also provided is a co-crystal or pharmaceutical composition provided herein for use in treating or preventing a disease or condition described herein in a subject in need thereof. Also provided is a co-crystal or pharmaceutical composition provided herein for use in medical therapy. Also provided is use of a co-crystal or pharmaceutical composition provided herein for treating or preventing a disease or condition described herein in a subject in need thereof.


Dosages

The co-crystals and compositions disclosed and/or described herein are administered at a therapeutically effective dosage, e.g., a dosage sufficient to provide treatment for the disease state. While human dosage levels have yet to be optimized for the chemical entities described herein, generally, a daily dose ranges from about 0.01 to 100 mg/kg of body weight; in some embodiments, from about 0.05 to 10.0 mg/kg of body weight, and in some embodiments, from about 0.10 to 1.4 mg/kg of body weight. Thus, for administration to a 70 kg person, in some embodiments, the dosage range would be about from 0.7 to 7000 mg per day; in some embodiments, about from 3.5 to 700.0 mg per day, and in some embodiments, about from 7 to 100.0 mg per day. The amount of the chemical entity administered will be dependent, for example, on the subject and disease state being treated, the severity of the affliction, the manner and schedule of administration and the judgment of the prescribing physician. For example, an exemplary dosage range for oral administration is from about 5 mg to about 500 mg per day, and an exemplary intravenous administration dosage is from about 5 mg to about 500 mg per day, each depending upon the pharmacokinetics.


A daily dose is the total amount administered in a day. A daily dose may be, but is not limited to be, administered each day, every other day, each week, every 2 weeks, every month, or at a varied interval. In some embodiments, the daily dose is administered for a period ranging from a single day to the life of the subject. In some embodiments, the daily dose is administered once a day. In some embodiments, the daily dose is administered in multiple divided doses, such as in 2, 3, or 4 divided doses. In some embodiments, the daily dose is administered in 2 divided doses.


Administration of the co-crystals and compositions described herein can be via any accepted mode of administration for therapeutic agents including, but not limited to, oral, sublingual, subcutaneous, parenteral, intravenous, intranasal, topical, transdermal, intraperitoneal, intramuscular, intrapulmonary, vaginal, rectal, or intraocular administration. In some embodiments, the co-crystal or composition is administered orally or intravenously. In some embodiments, the co-crystal or composition disclosed and/or described herein is administered orally.


Pharmaceutically acceptable compositions include solid, semi-solid, liquid and aerosol dosage forms, such as tablet, capsule, powder, liquid, suspension, suppository, and aerosol forms. The co-crystals disclosed and/or described herein can also be administered in sustained or controlled release dosage forms (e.g., controlled/sustained release pill, depot injection, osmotic pump, or transdermal (including electrotransport) patch forms) for prolonged timed, and/or pulsed administration at a predetermined rate. In some embodiments, the compositions are provided in unit dosage forms suitable for single administration of a precise dose.


The co-crystals described herein can be administered either alone or in combination with one or more conventional pharmaceutical carriers or excipients (e.g., mannitol, lactose, starch, magnesium stearate, sodium saccharine, talcum, cellulose, sodium crosscarmellose, glucose, gelatin, sucrose, magnesium carbonate). If desired, the pharmaceutical composition can also contain minor amounts of nontoxic auxiliary substances such as wetting agents, emulsifying agents, solubilizing agents, pH buffering agents and the like (e.g., sodium acetate, sodium citrate, cyclodextrine derivatives, sorbitan monolaurate, triethanolamine acetate, triethanolamine oleate). Generally, depending on the intended mode of administration, the pharmaceutical composition will contain about 0.005% to 95%, or about 0.5% to 50%, by weight of a compound disclosed and/or described herein. Actual methods of preparing such dosage forms are known, or will be apparent, to those skilled in this art; for example, see Remington's Pharmaceutical Sciences, Mack Publishing Company, Easton, Pa.


In some embodiments, the compositions will take the form of a pill or tablet and thus the composition may contain, along with a co-crystal disclosed and/or described herein, one or more of a diluent (e.g., lactose, sucrose, dicalcium phosphate), a lubricant (e.g., magnesium stearate), and/or a binder (e.g., starch, gum acacia, polyvinylpyrrolidine, gelatin, cellulose, cellulose derivatives). Other solid dosage forms include a powder, marume, solution or suspension (e.g., in propylene carbonate, vegetable oils or triglycerides) encapsulated in a gelatin capsule.


Liquid pharmaceutically administrable compositions can, for example, be prepared by dissolving, dispersing or suspending etc. a co-crystal disclosed and/or described herein and optional pharmaceutical additives in a carrier (e.g., water, saline, aqueous dextrose, glycerol, glycols, ethanol or the like) to form a solution or suspension. Injectables can be prepared in conventional forms, either as liquid solutions or suspensions, as emulsions, or in solid forms suitable for dissolution or suspension in liquid prior to injection. The percentage of the co-crystal contained in such parenteral compositions depends, for example, on the physical nature of the co-crystal, the activity of the co-crystal, and the needs of the subject. However, percentages of active ingredient of 0.01% to 10% in solution are employable, and may be higher if the composition is a solid which will be subsequently diluted to another concentration. In some embodiments, the composition will comprise from about 0.2 to 2% of a co-crystal disclosed and/or described herein in solution.


Pharmaceutical compositions of the co-crystal and compositions described herein may also be administered to the respiratory tract as an aerosol or solution for a nebulizer, or as a microfine powder for insufflation, alone or in combination with an inert carrier such as lactose. In such a case, the particles of the pharmaceutical composition may have diameters of less than 50 microns, or in some embodiments, less than 10 microns.


In addition, pharmaceutical compositions can include a co-crystal disclosed and/or described herein and one or more additional medicinal agents, pharmaceutical agents, adjuvants, and the like.


Kits

Also provided are articles of manufacture and kits containing any of the co-crystals or compositions provided herein. The article of manufacture may comprise a container with a label. Suitable containers include, for example, bottles, vials, and test tubes. The containers may be formed from a variety of materials such as glass or plastic. The container may hold a pharmaceutical composition provided herein. The label on the container may indicate that the pharmaceutical composition is used for preventing, treating or suppressing a condition described herein, and may also indicate directions for either in vivo or in vitro use.


In one aspect, provided herein are kits containing a co-crystal or composition described herein and instructions for use. The kits may contain instructions for use in the treatment of a any disease provided herein in a subject in need thereof. A kit may additionally contain any materials or equipment that may be used in the administration of the co-crystal or composition, such as vials, syringes, or IV bags. A kit may also contain sterile packaging.


Illustrative examples of certain analytical data for the co-crystals of epicatechin:trigonelline and in co-crystals of epicatechin:proline obtained in the examples are set forth in the Figures provided herewith (including FIGS. 1-3).


Certain specific aspects and embodiments of the present invention will be explained in more detail with reference to the following examples, which are provided only for purposes of illustration and should not be construed as limiting the scope of the invention in any manner.


The following Examples will further illustrate the present invention, which by no means limit the scope of the invention.


EXAMPLES
Example 1. Preparation of Epicatechin_Trigonelline Cocrystals

Epicatechin:trigonelline is taken in mixture of ethanol: water solvents and heated up to 55° C.-58° C. until get a clear solution. Solution is kept at RT for 2-3 days to obtain desired co-crystal. The various parameters of the process to obtain co-crystals are listed below at Table 1. Different samples of epicatechin:trigonelline are analyzed as below:









TABLE 1







Various process parameters for preparation of the co-crystals.














Solvent





Amount of
mixture for


Compound
Co-crystal
the components
preparing the
Melting


number
molar ratio
in mg
cocrystal
point














101
(−)EPI-
290 (EPI) 173
10 ml EtOH
169-175° C.



TRIG(1:1)
(trig)
0.6 ml water


102
(−)EPI-
289 (EPI)
10 ml EtOH
170-176° C.



TRIG(2:1)
86 (trig)
0.4 ml water


103
(−)EPI-
145 (EPI) 173
4 ml EtOH
162-170° C.



TRIG(1:2)
(trig)
0.6 ml water


104
(+)EPI-
144 (EPI)
4 ml EtOH
165-178° C.



TR1G(1:1)
86 (trig)
0.6 ml water


105
(+)EPI-
289 (EPI)
10 ml EtOH
158-178° C.



TRIG(2:1)
86 (trig)
0.4 ml water


106
(+)EPI-
145 (EPI) 173
4 ml EtOH
172-182° C.



TRIG(1:2)
(trig)
0.6 ml water





Melting Point trig: 258-260° C. 2, Melting Point (−)EPI: 239-240° C., Melting Point (+)EPI: 235-237° C.






Example 2. Characteristics of the Co-Crystals of the Present Invention
2.1 Thermal Measurement (DSC)

Thermal analysis of the samples was performed on a DSC apparatus (TA Instruments; Model: Discovery DSC 25 series) which was standardized for temperature and cell constants using indium. Samples (3-5 mg) crimped in the TZERO aluminum pan were analyzed from 10 to 300′C with a heating rate of 10° C./min. Samples were continuously removed with nitrogen at 50 ml/min. Unless otherwise indicated all reported transitions are as stated +/−10 degrees C. DSC pattern is depicted in FIGS. 1-9.


2.2 X Ray Diffraction Pattern

Co-crystals were analyzed using Rigaku Ultima IV Xray Diffractomcter (XRD). Scanning mode selected was 2 theta/theta and scan type was continuous. Parameters used during scanning is mentioned below:


X-Ray: 40 kV/20 mA


DivSlit:⅔ deg
DivH.L.Slit: 10 mm
SctSlit: ⅔ deg
RecSlit:0.3 mm

The results of X-ray diffraction are presented at FIGS. 10-12. The X-ray diffraction pattern of Compound 108 is shown in FIG. 20. The raw data of FIGS. 10-12 and 20 are shown in Table 2 below. 2 Theta values are listed side by side with their relative intensities.









TABLE 2





raw data of X-ray diffraction pattern







FIG. 10
















2Theta
101
2Theta
101
2Theta
101
2Theta
101
2Theta
101





3
138
3.84
114
4.68
120
5.52
145
6.36
155


3.02
131
3.86
121
4.7
135
5.54
166
6.38
164


3.04
148
3.88
120
4.72
128
5.56
164
6.4
148


3.06
116
3.9
122
4.74
115
5.58
146
6.42
153


3.08
132
3.92
129
4.76
120
5.6
124
6.44
174


3.1
139
3.94
107
4.78
121
5.62
158
6.46
183


3.12
150
3.96
125
4.8
122
5.64
151
6.48
170


3.14
114
3.98
110
4.82
117
5.66
137
6.5
160


3.16
124
4
115
4.84
136
5.68
143
6.52
168


3.18
132
4.02
125
4.86
145
5.7
154
6.54
168


3.2
110
4.04
108
4.88
120
5.72
146
6.56
173


3.22
115
4.06
112
4.9
148
5.74
156
6.58
161


3.24
104
4.08
114
4.92
111
5.76
142
6.6
161


3.26
114
4.1
110
4.94
142
5.78
151
6.62
160


3.28
114
4.12
122
4.96
142
5.8
164
6.64
173


3.3
129
4.14
115
4.98
114
5.82
188
6.66
163


3.32
114
4.16
125
5
126
5.84
175
6.68
169


3.34
120
4.18
136
5.02
140
5.86
159
6.7
177


3.36
138
4.2
127
5.04
143
5.88
122
6.72
162


3.38
127
4.22
128
5.06
122
5.9
149
6.74
182


3.4
120
4.24
110
5.08
124
5.92
156
6.76
157


3.42
130
4.26
136
5.1
145
5.94
152
6.78
176


3.44
128
4.28
128
5.12
135
5.96
149
6.8
205


3.46
131
4.3
141
5.14
148
5.98
139
6.82
193


3.48
119
4.32
119
5.16
138
6
169
6.84
185


3.5
123
4.34
126
5.18
153
6.02
161
6.86
214


3.52
119
4.36
111
5.2
121
6.04
160
6.88
228


3.54
118
4.38
129
5.22
144
6.06
150
6.9
250


3.56
121
4.4
126
5.24
156
6.08
157
6.92
208


3.58
132
4.42
127
5.26
131
6.1
142
6.94
246


3.6
116
4.44
102
5.28
128
6.12
146
6.96
202


3.62
110
4.46
113
5.3
152
6.14
129
6.98
181


3.64
113
4.48
120
5.32
147
6.16
138
7
163


3.66
122
4.5
114
5.34
122
6.18
170
7.02
162


3.68
120
4.52
120
5.36
157
6.2
160
7.04
154


3.7
123
4.54
139
5.38
138
6.22
154
7.06
163


3.72
127
4.56
120
5.4
167
6.24
180
7.08
159


3.74
119
4.58
136
5.42
133
6.26
151
7.1
191


3.76
107
4.6
118
5.44
142
6.28
173
7.12
159


3.78
124
4.62
117
5.46
139
6.3
162
7.14
152


3.8
129
4.64
133
5.48
140
6.32
156
7.16
158


3.82
112
4.66
128
5.5
141
6.34
148
7.18
166


7.2
170
8.04
176
8.88
173
9.72
206
10.56
208


7.22
182
8.06
190
8.9
176
9.74
210
10.58
238


7.24
182
8.08
198
8.92
189
9.76
226
10.6
255


7.26
163
8.1
171
8.94
186
9.78
227
10.62
256


7.28
175
8.12
181
8.96
188
9.8
192
10.64
209


7.3
159
8.14
185
8.98
195
9.82
203
10.66
229


7.32
170
8.16
175
9
197
9.84
202
10.68
223


7.34
148
8.18
175
9.02
199
9.86
234
10.7
211


7.36
172
8.2
184
9.04
196
9.88
210
10.72
230


7.38
160
8.22
145
9.06
179
9.9
209
10.74
221


7.4
198
8.24
183
9.08
200
9.92
243
10.76
218


7.42
186
8.26
195
9.1
207
9.94
196
10.78
199


7.44
149
8.28
186
9.12
219
9.96
203
10.8
205


7.46
187
8.3
192
9.14
204
9.98
224
10.82
224


7.48
175
8.32
190
9.16
194
10
226
10.84
204


7.5
183
8.34
202
9.18
196
10.02
224
10.86
236


7.52
190
8.36
179
9.2
181
10.04
175
10.88
272


7.54
165
8.38
181
9.22
181
10.06
189
10.9
240


7.56
169
8.4
164
9.24
201
10.08
221
10.92
219


7.58
170
8.42
187
9.26
199
10.1
201
10.94
219


7.6
167
8.44
186
9.28
218
10.12
216
10.96
267


7.62
155
8.46
167
9.3
220
10.14
226
10.98
238


7.64
158
8.48
167
9.32
195
10.16
203
11
231


7.66
160
8.5
204
9.34
226
10.18
200
11.02
233


7.68
177
8.52
184
9.36
206
10.2
219
11.04
252


7.7
153
8.54
178
9.38
225
10.22
228
11.06
219


7.72
185
8.56
153
9.4
216
10.24
210
11.08
259


7.74
164
8.58
178
9.42
202
10.26
211
11.1
268


7.76
210
8.6
193
9.44
213
10.28
248
11.12
260


7.78
200
8.62
178
9.46
208
10.3
208
11.14
270


7.8
152
8.64
183
9.48
200
10.32
219
11.16
324


7.82
182
8.66
195
9.5
216
10.34
218
11.18
306


7.84
214
8.68
160
9.52
205
10.36
231
11.2
386


7.86
147
8.7
171
9.54
193
10.38
220
11.22
318


7.88
173
8.72
203
9.56
215
10.4
222
11.24
331


7.9
179
8.74
167
9.58
191
10.42
202
11.26
302


7.92
175
8.76
181
9.6
197
10.44
236
11.28
273


7.94
166
8.78
206
9.62
247
10.46
213
11.3
241


7.96
152
8.8
200
9.64
204
10.48
227
11.32
265


7.98
187
8.82
166
9.66
241
10.5
235
11.34
249


8
161
8.84
189
9.68
191
10.52
208
11.36
207


8.02
170
8.86
173
9.7
207
10.54
210
11.38
218


11.4
239
12.24
260
13.08
279
13.92
246
14.76
277


11.42
254
12.2.6
228
13.1
286
13.94
282
14.78
288


11.44
227
12.28
264
13.12
293
13.96
259
14.8
310


11.46
225
12.3
258
13.14
267
13.98
299
14.82
284


11.48
255
12.32.
252
13.16
279
14
284
14.84
315


11.5
243
12.34
235
13.18
253
14.02
244
14.86
309


11.52
224
12.36
264
13.2
294
14.04
302
14.88
329


11.54
226
12.38
262
13.22
309
14.06
267
14.9
326


11.56
230
12.4
272
13.24
273
14.08
303
14.92
349


11.58
231
12.42
235
13.26
295
14.1
305
14.94
310


11.6
226
12.44
273
13.28
289
14.12
245
14.96
290


11.62
208
12.46
250
13.3
303
14.14
271
14.98
352


11.64
247
12.48
248
13.32
328
14.16
301
15
289


11.66
237
12.5
258
13.34
316
14.18
296
15.02
253


11.68
247
12.52
254
13.36
312
14.2
289
15.04
285


11.7
247
12.54
245
13.38
309
14.22
247
15.06
286


11.72
223
12.56
265
13.4
373
14.24
311
15.08
265


11.74
246
12.58
277
13.42
393
14.26
265
15.1
283


11.76
238
12.6
284
13.44
369
14.28
286
15.12
281


11.78
268
12.62
266
13.46
347
14.3
246
15.14
246


11.8
241
12.64
269
13.48
387
14.32
298
15.16
261


11.82
249
12.66
286
13.5
409
14.34
295
15.18
252


11.84
258
12.68
245
13.52
364
14.36
272
15.2
280


11.86
249
12.7
245
13.54
437
14.38
284
15.22
275


11.88
210
12.72
267
13.56
429
14.4
291
15.24
261


11.9
260
12.74
263
13.58
529
14.42
308
15.26
219


11.92
296
12.76
283
13.6
606
14.44
338
15.28
237


11.94
250
12.78
274
13.62
656
14.46
347
15.3
278


11.96
283
12.8
253
13.64
708
14.48
343
15.32
265


11.98
239
12.82
268
13.66
582
14.5
349
15.34
271


12
249
12.84
255
13.68
464
14.52
358
15.36
273


12.02
255
12.86
269
13.7
369
14.54
366
15.38
246


12.04
269
12.88
286
13.72
330
14.56
316
15.4
282


12.06
251
12.9
252
13.74
275
14.58
295
15.42
293


12.08
255
12.92
279
13.76
294
14.6
273
15.44
223


12.1
233
12.94
265
13.78
289
14.62
291
15.46
298


12.12
250
12.96
258
13.8
311
14.64
300
15.48
276


12.14
231
12.98
268
13.82
299
14.66
291
15.5
291


12.16
233
13
277
13.84
314
14.68
305
15.52
269


12.18
240
13.02
264
13.86
287
14.7
292
15.54
287


12.2
272
13.04
275
13.88
292
14.72
305
15.56
277


12.22
286
13.06
263
13.9
319
14.74
266
15.58
289


15.6
307
16.44
466
17.28
234
18.12
315
18.96
715


15.62
286
16.46
439
17.3
274
18.14
269
18.98
764


15.64
273
16.48
443
17.32
275
18.16
272
19
680


15.66
257
16.5
312
17.34
309
18.18
266
19.02
550


15.68
282
16.52
290
17.36
319
18.2
316
19.04
499


15.7
256
16.54
275
17.38
292
18.22
290
19.06
360


15.72
273
16.56
263
17.4
316
18.24
235
19.08
278


15.74
251
16.58
320
17.42
309
18.26
266
19.1
313


15.76
315
16.6
287
17.44
319
18.28
251
19.12
271


15.78
278
16.62
276
17.46
298
18.3
293
19.14
280


15.8
281
16.64
255
17.48
320
18.32
247
19.16
280


15.82
271
16.66
275
17.5
345
18.34
279
19.18
284


15.84
273
16.68
259
17.52
378
18.36
258
19.2
254


15.86
295
16.7
265
17.54
367
18.38
264
19.22
280


15.88
272
16.72
275
17.56
412
18.4
257
19.24
283


15.9
304
16.74
263
17.58
495
18.42
285
19.26
290


15.92
264
16.76
248
17.6
574
18.44
263
19.28
298


15.94
296
16.78
267
17.62
797
18.46
242
19.3
268


15.96
264
16.8
275
17.64
972
18.48
265
19.32
302


15.98
282
16.82
249
17.66
903
18.5
251
19.34
296


16
256
16.84
254
17.68
734
18.52
288
19.36
270


16.02
273
16.86
249
17.7
579
18.54
253
19.38
278


16.04
278
16.88
265
17.72
487
18.56
266
19.4
266


16.06
298
16.9
252
17.74
411
18.58
246
19.42
230


16.08
293
16.92
269
17.76
321
18.6
261
19.44
265


16.1
285
16.94
242
17.78
347
18.62
252
19.46
247


16.12
300
16.96
265
17.8
354
18.64
240
19.48
247


16.14
280
16.98
253
17.82
373
18.66
289
19.5
225


16.16
269
17
272
17.84
350
18.68
267
19.52
252


16.18
294
17.02
251
17.86
422
18.7
270
19.54
279


16.2
271
17.04
269
17.88
424
18.72
266
19.56
267


16.22
301
17.06
284
17.9
456
18.74
276
19.58
278


16.24
290
17.08
254
17.92
475
18.76
329
19.6
288


16.26
334
17.1
299
17.94
591
18.78
325
19.62
244


16.28
274
17.12
284
17.96
682
18.8
335
19.64
250


16.3
270
17.14
301
17.98
822
18.82
335
19.66
285


16.32
316
17.16
252
18
843
18.84
328
19.68
281


16.34
307
17.18
287
18.02
734
18.86
329
19.7
234


16.36
350
17.2
291
18.04
592
18.88
417
19.72
287


16.38
399
17.22
272
18.06
482
18.9
433
19.74
230


16.4
390
17.24
262
18.08
357
18.92
485
19.76
246


16.42
434
17.26
285
18.1
301
18.94
585
19.78
269


19.8
291
20.64
290
21.48
308
22.32
341
23.16
310


19.82
287
20.66
293
21.5
269
22.34
335
23.18
265


19.84
270
20.68
272
21.52
305
22.36
319
23.2
312


19.86
258
20.7
310
21.54
273
22.38
303
23.22
279


19.88
258
20.72
284
21.56
272
22.4
328
23.24
276


19.9
294
20.74
286
21.58
269
22.42
319
23.26
324


19.92
283
20.76
320
21.6
258
22.44
328
23.28
267


19.94
245
20.78
340
21.62
258
22.46
360
23.3
265


19.96
251
20.8
358
21.64
280
22.48
413
23.32
284


19.98
289
20.82
340
21.66
279
22.5
465
23.34
291


20
247
20.84
402
21.68
279
22.52
454
23.36
295


20.02
277
20.86
438
21.7
253
22.54
439
23.38
283


20.04
276
20.88
388
21.72
287
22.56
411
23.4
272


20.06
264
20.9
382
21.74
283
22.58
380
23.42
289


20.08
283
20.92
360
21.76
266
22.6
328
23.44
291


20.1
285
20.94
326
21.78
283
22.62
315
23.46
292


20.12
288
20.96
305
21.8
285
22.64
313
23.48
278


20.14
262
20.98
310
21.82
273
22.66
336
23.5
327


20.16
297
21
305
21.84
272
22.68
352
23.52
369


20.18
289
21.02
302
21.86
279
22.7
329
23.54
399


20.2
289
21.04
290
21.88
269
22.72
323
23.56
396


20.22
278
21.06
281
21.9
271
22.74
307
23.58
450


20.24
268
21.08
280
21.92
289
22.76
270
23.6
440


20.26
256
21.1
299
21.94
258
22.78
289
23.62
417


20.28
277
21.12
320
21.96
267
22.8
244
23.64
357


20.3
295
21.14
317
21.98
298
22.82
279
23.66
337


20.32
299
21.16
331
22
278
22.84
295
23.68
314


20.34
258
21.18
323
22.02
275
22.86
266
23.7
304


20.36
282
21.2
284
22.04
268
22.88
268
23.72
283


20.38
279
21.22
288
22.06
272
22.9
269
23.74
284


20.4
271
21.24
282
22.08
308
22.92
262
23.76
326


20.42
269
21.26
277
22.1
300
22.94
308
23.78
261


20.44
259
21.28
290
22.12
284
22.96
266
23.8
283


20.46
277
21.3
332
22.14
293
22.98
278
23.82
291


20.48
263
21.32
273
22.16
293
23
257
23.84
291


20.5
304
21.34
338
22.18
309
23.02
281
23.86
301


20.52
293
21.36
307
22.2
320
23.04
270
23.88
282


20.54
278
21.38
384
22.22
358
23.06
267
23.9
264


20.56
266
21.4
372
22.24
377
23.08
282
23.92
289


20.58
280
21.42
398
22.26
345
23.1
271
23.94
252


20.6
303
21.44
373
22.28
365
23.12
296
23.96
289


20.62
269
21.46
315
22.3
310
23.14
302
23.98
275


24
256
24.84
305
25.68
297
26.52
245
27.36
250


24.02
284
24.86
289
25.7
352
26.54
237
27.38
283


24.04
289
24.88
286
25.72
377
26.56
258
27.4
246


24.06
256
24.9
297
25.74
438
26.58
259
27.42
240


24.08
261
24.92
279
25.76
446
26.6
266
27.44
304


24.1
302
24.94
307
25.78
415
26.62
276
27.46
303


24.12
322
24.96
283
25.8
426
26.64
261
27.48
284


24.14
310
24.98
364
25.82
406
26.66
286
27.5
315


24.16
288
25
372
25.84
345
26.68
253
27.52
336


24.18
310
25.02
391
25.86
308
26.7
226
27.54
325


24.2
273
25.04
420
25.88
310
26.72
266
27.56
299


24.22
291
25.06
374
25.9
302
26.74
269
27.58
287


24.24
323
25.08
393
25.92
270
26.76
291
27.6
245


24.26
283
25.1
342
25.94
272
26.78
274
27.62
262


24.28
278
25.12
308
25.96
258
26.8
283
27.64
263


24.3
250
25.14
302
25.98
302
26.82
272
27.66
261


24.32
302
25.16
298
26
283
26.84
332
27.68
276


24.34
284
25.18
236
26.02
272
26.86
338
27.7
247


24.36
267
25.2
301
26.04
266
26.88
396
27.72
249


24.38
264
25.22
306
26.06
253
26.9
439
27.74
219


24.4
287
25.24
304
26.08
270
26.92
472
27.76
207


24.42
266
25.26
317
26.1
236
26.94
466
27.78
260


24.44
294
25.28
254
26.12
237
26.96
452
27.8
265


24.46
258
25.3
315
26.14
253
26.98
450
27.82
241


24.48
266
25.32
339
26.16
245
27
496
27.84
247


24.5
298
25.34
316
26.18
267
27.02
448
27.86
308


24.52
245
25.36
328
26.2
263
27.04
438
27.88
315


24.54
253
25.38
317
26.22
258
27.06
465
27.9
344


24.56
274
25.4
300
26.24
227
27.08
406
27.92
366


24.58
279
25.42
313
26.26
263
27.1
342
27.94
325


24.6
269
25.44
272
26.28
220
27.12
330
27.96
301


24.62
271
25.46
282
26.3
259
27.14
304
27.98
290


24.64
266
25.48
301
26.32
267
27.16
305
28
306


24.66
304
25.5
268
26.34
261
27.18
270
28.02
257


24.68
259
25.52
313
26.36
249
27.2
276
28.04
259


24.7
280
25.54
291
26.38
254
27.22
285
28.06
234


24.72
271
25.56
276
26.4
250
27.24
230
28.08
267


24.74
307
25.58
296
26.42
247
27.26
275
28.1
248


24.76
283
25.6
278
26.44
247
27.28
252
28.12
209


24.78
304
25.62
292
26.46
249
27.3
261
28.14
259


24.8
281
25.64
278
26.48
243
27.32
250
28.16
250


24.82
270
25.66
287
26.5
249
27.34
260
28.18
241


28.2
234
29.04
396
29.88
207
30.72
217
31.56
215


28.22
230
29.06
417
29.9
233
30.74
197
31.58
203


28.24
243
29.08
373
29.92
234
30.76
198
31.6
205


28.26
237
29.1
353
29.94
243
30.78
239
31.62
215


28.28
243
29.12
343
29.96
230
30.8
223
31.64
190


28.3
251
29.14
342
29.98
225
30.82
202
31.66
193


28.32
232
29.16
350
30
210
30.84
223
31.68
224


28.34
257
29.18
286
30.02
221
30.86
223
31.7
175


28.36
255
29.2
242
30.04
221
30.88
218
31.72
202


28.38
248
29.22
273
30.06
247
30.9
189
31.74
220


28.4
285
29.24
260
30.08
227
30.92
209
31.76
199


28.42
287
29.26
280
30.1
227
30.94
205
31.78
228


28.44
277
29.28
354
30.12
235
30.96
195
31.8
202


28.46
297
29.3
322
30.14
211
30.98
218
31.82
195


28.48
340
29.32
312
30.16
237
31
223
31.84
162


28.5
336
29.34
335
30.18
222
31.02
191
31.86
205


28.52
350
29.36
334
30.2
254
31.04
215
31.88
207


28.54
332
29.38
300
30.22
221
31.06
204
31.9
192


28.56
293
29.4
282
30.24
234
31.08
187
31.92
176


28.58
271
29.42
261
30.26
295
31.1
224
31.94
211


28.6
301
29.44
258
30.28
263
31.12
202
31.96
189


28.62
310
29.46
247
30.3
250
31.14
209
31.98
200


28.64
274
29.48
256
30.32
245
31.16
187
32
184


28.66
284
29.5
222
30.34
274
31.18
205
32.02
208


28.68
259
29.52
238
30.36
253
31.2
218
32.04
178


28.7
273
29.54
232
30.38
250
31.22
215
32.06
172


28.72
266
29.56
242
30.4
249
31.24
205
32.08
189


28.74
233
29.58
210
30.42
247
31.26
220
32.1
182


28.76
236
29.6
225
30.44
231
31.28
233
32.12
182


28.78
218
29.62
225
30.46
245
31.3
233
32.14
186


28.8
221
29.64
248
30.48
235
31.32
247
32.16
173


28.82
226
29.66
225
30.5
188
31.34
286
32.18
189


28.84
267
29.68
242
30.52
212
31.36
229
32.2
197


28.86
251
29.7
240
30.54
218
31.38
237
32.22
194


28.88
260
29.72
223
30.56
244
31.4
231
32.24
180


28.9
288
29.74
227
30.58
209
31.42
225
32.26
196


28.92
251
29.76
218
30.6
199
31.44
206
32.28
217


28.94
243
29.78
237
30.62
215
31.46
199
32.3
207


28.96
300
29.8
196
30.64
213
31.48
206
32.32
199


28.98
298
29.82
235
30.66
194
31.5
214
32.34
213


29
324
29.84
226
30.68
201
31.52
231
32.36
229


29.02
340
29.86
233
30.7
236
31.54
219
32.38
188


32.4
210
33.24
210
34.08
203
34.92
165


32.42
214
33.26
191
34.1
196
34.94
159


32.44
202
33.28
183
34.12
223
34.96
166


32.46
218
33.3
177
34.14
220
34.98
150


32.48
230
33.32
177
34.16
196
35
204


32.5
196
33.34
182
34.18
218


32.52
228
33.36
175
34.2
200


32.54
226
33.38
191
34.22
213


32.56
184
33.4
170
34.24
168


32.58
196
33.42
196
34.26
169


32.6
208
33.44
195
34.28
164


32.62
198
33.46
210
34.3
149


32.64
208
33.48
152
34.32
184


32.66
186
33.5
156
34.34
160


32.68
194
33.52
185
34.36
155


32.7
174
33.54
171
34.38
172


32.72
197
33.56
197
34.4
165


32.74
174
33.58
175
34.42
183


32.76
184
33.6
161
34.44
153


32.78
176
33.62
151
34.46
172


32.8
175
33.64
211
34.48
173


32.82
194
33.66
181
34.5
152


32.84
167
33.68
168
34.52
174


32.86
206
33.7
183
34.54
189


32.88
179
33.72
159
34.56
160


32.9
179
33.74
179
34.58
172


32.92
170
33.76
168
34.6
161


32.94
178
33.78
162
34.62
180


32.96
177
33.8
210
34.64
166


32.98
195
33.82
164
34.66
171


33
196
33.84
208
34.68
172


33.02
175
33.86
194
34.7
182


33.04
181
33.88
172
34.72
161


33.06
171
33.9
204
34.74
169


33.08
185
33.92
168
34.76
185


33.1
204
33.94
198
34.78
159


33.12
191
33.96
189
34.8
182


33.14
184
33.98
226
34.82
157


33.16
179
34
241
34.84
171


33.18
207
34.02
237
34.86
167


33.2
191
34.04
234
34.88
176


33.22
201
34.06
228
34.9
171










FIG. 11
















2Theta
104
2Theta
104
2Theta
104
2Theta
104
2Theta
104





3
129
3.84
104
4.68
107
5.52
120
6.36
136


3.02
109
3.86
94
4.7
105
5.54
93
6.38
132


3.04
108
3.88
92
4.72
100
5.56
114
6.4
133


3.06
113
3.9
83
4.74
108
5.58
126
6.42
149


3.08
120
3.92
93
4.76
99
5.6
151
6.44
146


3.1
131
3.94
103
4.78
114
5.62
118
6.46
121


3.12
92
3.96
91
4.8
121
5.64
97
6.48
147


3.14
96
3.98
104
4.82
111
5.66
128
6.5
143


3.16
106
4
117
4.84
96
5.68
121
6.52
142


3.18
132
4.02
100
4.86
100
5.7
114
6.54
140


3.2
122
4.04
117
4.88
110
5.72
129
6.56
149


3.22
90
4.06
96
4.9
93
5.74
120
6.58
127


3.24
112
4.08
96
4.92
116
5.76
119
6.6
135


3.26
90
4.1
118
4.94
113
5.78
122
6.62
147


3.28
113
4.12
113
4.96
104
5.8
106
6.64
140


3.3
100
4.14
113
4.98
122
5.82
121
6.66
132


3.32
87
4.16
101
5
95
5.84
114
6.68
152


3.34
99
4.18
114
5.02
127
5.86
113
6.7
145


3.36
117
4.2
93
5.04
104
5.88
119
6.72
162


3.38
100
4.22
118
5.06
127
5.9
141
6.74
174


3.4
117
4.24
94
5.08
123
5.92
133
6.76
144


3.42
114
4.26
103
5.1
112
5.94
110
6.78
155


3.44
99
4.28
112
5.12
119
5.96
144
6.8
145


3.46
96
4.3
114
5.14
126
5.98
140
6.82
152


3.48
100
4.32
96
5.16
118
6
122
6.84
151


3.5
84
4.34
104
5.18
123
6.02
144
6.86
142


3.52
89
4.36
104
5.2
109
6.04
132
6.88
164


3.54
115
4.38
111
5.22
114
6.06
135
6.9
224


3.56
97
4.4
78
5.24
108
6.08
141
6.92
334


3.58
90
4.42
97
5.26
118
6.1
148
6.94
333


3.6
107
4.44
101
5.28
102
6.12
134
6.96
245


3.62
96
4.46
116
5.3
107
6.14
132
6.98
151


3.64
91
4.48
99
5.32
82
6.16
134
7
151


3.66
101
4.5
115
5.34
116
6.18
132
7.02
165


3.68
126
4.52
93
5.36
130
6.2
141
7.04
146


3.7
107
4.54
105
5.38
117
6.22
158
7.06
162


3.72
111
4.56
110
5.4
111
6.24
127
7.08
126


3.74
89
4.58
101
5.42
119
6.26
147
7.1
156


3.76
103
4.6
104
5.44
94
6.28
157
7.12
149


3.78
94
4.62
122
5.46
131
6.3
116
7.14
131


3.8
109
4.64
107
5.48
129
6.32
136
7.16
168


3.82
99
4.66
93
5.5
109
6.34
134
7.18
133


7.2
154
8.04
140
8.88
176
9.72
199
10.56
230


7.22
131
8.06
169
8.9
188
9.74
175
10.58
216


7.24
139
8.08
165
8.92
165
9.76
207
10.6
226


7.26
139
8.1
159
8.94
175
9.78
197
10.62
209


7.28
152
8.12
148
8.96
183
9.8
215
10.64
188


7.3
141
8.14
135
8.98
180
9.82
184
10.66
206


7.32
146
8.16
143
9
167
9.84
211
10.68
215


7.34
162
8.18
165
9.02
183
9.86
217
10.7
200


7.36
149
8.2
159
9.04
187
9.88
208
10.72
214


7.38
143
8.22
163
9.06
189
9.9
182
10.74
192


7.4
148
8.24
160
9.08
155
9.92
190
10.76
205


7.42
138
8.26
164
9.1
192
9.94
211
10.78
231


7.44
165
8.28
172
9.12
185
9.96
208
10.8
197


7.46
155
8.3
179
9.14
189
9.98
204
10.82
182


7.48
138
8.32
171
9.16
178
10
204
10.84
223


7.5
150
8.34
141
9.18
177
10.02
194
10.86
210


7.52
143
8.36
176
9.2
181
10.04
196
10.88
189


7.54
135
8.38
174
9.22
181
10.06
205
10.9
193


7.56
135
8.4
162
9.24
197
10.08
162
10.92
184


7.58
159
8.42
173
9.26
198
10.1
205
10.94
218


7.6
167
8.44
179
9.28
191
10.12
215
10.96
212


7.62
137
8.46
167
9.3
169
10.14
201
10.98
218


7.64
167
8.48
172
9.32
177
10.16
196
11
209


7.66
145
8.5
153
9.34
177
10.18
215
11.02
238


7.68
143
8.52
181
9.36
210
10.2
218
11.04
232


7.7
155
8.54
172
9.38
191
10.22
197
11.06
222


7.72
132
8.56
170
9.4
181
10.24
189
11.08
234


7.74
140
8.58
192
9.42
192
10.26
214
11.1
223


7.76
147
8.6
147
9.44
191
10.28
210
11.12
223


7.78
163
8.62
161
9.46
188
10.3
189
11.14
222


7.8
163
8.64
163
9.48
182
10.32
211
11.16
255


7.82
143
8.66
161
9.5
209
10.34
210
11.18
276


7.84
163
8.68
147
9.52
205
10.36
212
11.2
300


7.86
160
8.7
186
9.54
209
10.38
207
11.22
301


7.88
150
8.72
185
9.56
193
10.4
204
11.24
257


7.9
159
8.74
175
9.58
188
10.42
208
11.26
237


7.92
146
8.76
161
9.6
184
10.44
207
11.28
231


7.94
153
8.78
180
9.62
188
10.46
221
11.3
212


7.96
159
8.8
182
9.64
190
10.48
228
11.32
208


7.98
151
8.82
156
9.66
180
10.5
195
11.34
220


8
166
8.84
183
9.68
201
10.52
207
11.36
245


8.02
140
8.86
159
9.7
174
10.54
196
11.38
202


11.4
200
12.24
240
13.08
260
13.92
280
14.76
269


11.42
217
12.26
228
13.1
245
13.94
259
14.78
270


11.44
193
12.28
214
13.12
266
13.96
252
14.8
270


11.46
232
12.3
224
13.14
271
13.98
250
14.82
249


11.48
231
12.32
253
13.16
257
14
265
14.84
257


11.5
222
12.34
236
13.18
262
14.02
255
14.86
250


11.52
235
12.36
240
13.2
276
14.04
269
14.88
291


11.54
227
12.38
237
13.22
254
14.06
266
14.9
258


11.56
233
12.4
219
13.24
289
14.08
253
14.92
273


11.58
246
12.42
252
13.26
228
14.1
242
14.94
241


11.6
229
12.44
262
13.28
277
14.12
267
14.96
229


11.62
202
12.46
269
13.3
259
14.14
258
14.98
253


11.64
246
12.48
214
13.32
242
14.16
267
15
266


11.66
218
12.5
282
13.34
260
14.18
274
15.02
254


11.68
218
12.52
236
13.36
281
14.2
261
15.04
275


11.7
239
12.54
217
13.38
272
14.22
260
15.06
246


11.72
227
12.56
264
13.4
248
14.24
287
15.08
260


11.74
239
12.58
248
13.42
294
14.26
266
15.1
276


11.76
212
12.6
249
13.44
285
14.28
266
15.12
258


11.78
246
12.62
256
13.46
287
14.3
267
15.14
266


11.8
246
12.64
251
13.48
267
14.32
238
15.16
237


11.82
246
12.66
245
13.5
274
14.34
257
15.18
251


11.84
234
12.68
260
13.52
321
14.36
236
15.2
291


11.86
233
12.7
243
13.54
327
14.38
270
15.22
250


11.88
222
12.72
271
13.56
400
14.4
267
15.24
254


11.9
236
12.74
248
13.58
448
14.42
255
15.26
252


11.92
228
12.76
254
13.6
593
14.44
269
15.28
274


11.94
248
12.78
229
13.62
678
14.46
287
15.3
264


11.96
236
12.8
253
13.64
671
14.48
289
15.32
267


11.98
224
12.82
276
13.66
573
14.5
271
15.34
246


12
210
12.84
230
13.68
434
14.52
280
15.36
257


12.02
224
12.86
269
13.7
316
14.54
280
15.38
286


12.04
237
12.88
259
13.72
265
14.56
283
15.4
256


12.06
254
12.9
242
13.74
303
14.58
242
15.42
243


12.08
221
12.92
244
13.76
285
14.6
245
15.44
254


12.1
223
12.94
245
13.78
253
14.62
240
15.46
238


12.12
239
12.96
264
13.8
269
14.64
268
15.48
278


12.14
241
12.98
256
13.82
281
14.66
250
15.5
235


12.16
259
13
232
13.84
297
14.68
267
15.52
241


12.18
236
13.02
266
13.86
311
14.7
256
15.54
247


12.2
251
13.04
213
13.88
314
14.72
232
15.56
245


12.22
222
13.06
271
13.9
273
14.74
274
15.58
264


15.6
272
16.44
521
17.28
261
18.12
236
18.96
612


15.62
243
16.46
506
17.3
233
18.14
250
18.98
614


15.64
264
16.48
417
17.32
251
18.16
252
19
532


15.66
253
16.5
348
17.34
244
18.18
229
19.02
431


15.68
253
16.52
296
17.36
237
18.2
246
19.04
356


15.7
249
16.54
263
17.38
234
18.22
248
19.06
284


15.72
249
16.56
254
17.4
256
18.24
251
19.08
295


15.74
257
16.58
221
17.42
250
18.26
245
19.1
238


15.76
263
16.6
245
17.44
267
18.28
224
19.12
271


15.78
248
16.62
243
17.46
263
18.3
257
19.14
214


15.8
239
16.64
246
17.48
255
18.32
244
19.16
229


15.82
256
16.66
250
17.5
281
18.34
231
19.18
275


15.84
264
16.68
254
17.52
265
18.36
259
19.2
259


15.86
257
16.7
248
17.54
270
18.38
239
19.22
236


15.88
262
16.72
224
17.56
295
18.4
261
19.24
247


15.9
247
16.74
266
17.58
300
18.42
245
19.26
229


15.92
238
16.76
218
17.6
330
18.44
230
19.28
232


15.94
245
16.78
245
17.62
440
18.46
265
19.3
269


15.96
234
16.8
256
17.64
519
18.48
247
19.32
256


15.98
246
16.82
214
17.66
453
18.5
233
19.34
212


16
236
16.84
265
17.68
401
18.52
213
19.36
241


16.02
237
16.86
237
17.7
326
18.54
227
19.38
220


16.04
274
16.88
217
17.72
297
18.56
233
19.4
240


16.06
272
16.9
243
17.74
249
18.58
249
19.42
265


16.08
278
16.92
267
17.76
283
18.6
259
19.44
269


16.1
265
16.94
232
17.78
279
18.62
245
19.46
229


16.12
232
16.96
253
17.8
297
18.64
234
19.48
242


16.14
214
16.98
262
17.82
285
18.66
226
19.5
234


16.16
264
17
254
17.84
267
18.68
220
19.52
234


16.18
249
17.02
249
17.86
279
18.7
247
19.54
276


16.2
251
17.04
229
17.88
303
18.72
293
19.56
224


16.22
225
17.06
252
17.9
285
18.74
228
19.58
258


16.24
269
17.08
228
17.92
325
18.76
284
19.6
254


16.26
276
17.1
226
17.94
347
18.78
234
19.62
257


16.28
260
17.12
200
17.96
454
18.8
248
19.64
265


16.3
236
17.14
253
17.98
512
18.82
260
19.66
232


16.32
256
17.16
247
18
481
18.84
277
19.68
246


16.34
255
17.18
234
18.02
421
18.86
291
19.7
234


16.36
252
17.2
252
18.04
329
18.88
285
19.72
248


16.38
310
17.22
248
18.06
308
18.9
311
19.74
249


16.4
358
17.24
255
18.08
242
18.92
311
19.76
219


16.42
487
17.26
236
18.1
219
18.94
449
19.78
218


19.8
233
20.64
233
21.48
264
22.32
262
23.16
258


19.82
245
20.66
243
21.5
252
22.34
253
23.18
231


19.84
228
20.68
244
21.52
242
22.36
258
23.2
262


19.86
223
20.7
238
21.54
247
22.38
249
23.22
251


19.88
267
20.72
256
21.56
254
22.4
253
23.24
227


19.9
212
20.74
253
21.58
240
22.42
258
23.26
235


19.92
226
20.76
255
21.6
249
22.44
261
23.28
247


19.94
224
20.78
261
21.62
222
22.46
295
23.3
245


19.96
223
20.8
231
21.64
245
22.48
321
23.32
250


19.98
245
20.82
251
21.66
270
22.5
368
23.34
238


20
265
20.84
263
21.68
232
22.52
364
23.36
262


20.02
247
20.86
295
21.7
227
22.54
317
23.38
266


20.04
252
20.88
267
21.72
241
22.56
283
2.34
236


20.06
260
20.9
261
21.74
255
22.58
300
23.42
245


20.08
249
20.92
255
21.76
254
22.6
285
23.44
244


20.1
243
20.94
271
21.78
232
22.62
284
23.46
243


20.12
233
20.96
245
21.8
245
22.64
264
23.48
265


20.14
247
20.98
263
21.82
256
22.66
271
23.5
285


20.16
250
21
255
21.84
244
22.68
278
23.52
245


20.18
265
21.02
242
21.86
214
22.7
258
23.54
277


20.2
277
21.04
273
21.88
243
22.72
282
23.56
264


20.22
265
21.06
261
21.9
266
22.74
252
23.58
273


20.24
268
21.08
249
21.92
238
22.76
223
23.6
259


20.26
218
21.1
272
21.94
251
22.78
277
23.62
296


20.28
258
21.12
252
21.96
231
22.8
236
23.64
255


20.3
262
21.14
271
21.98
255
22.82
252
23.66
252


20.32
245
21.16
241
22
259
22.84
238
23.68
240


20.34
247
21.18
277
22.02
237
22.86
278
23.7
220


20.36
256
21.2
241
22.04
285
22.88
245
23.72
251


20.38
250
21.22
248
22.06
230
22.9
235
23.74
262


20.4
209
21.24
225
22.08
260
22.92
257
23.76
224


20.42
247
21.26
245
22.1
252
22.94
238
23.78
241


20.44
247
21.28
244
22.12
245
22.96
251
23.8
239


20.46
236
21.3
259
22.14
254
22.98
269
23.82
237


20.48
264
21.32
258
22.16
253
23
226
23.84
238


20.5
250
21.34
267
22.18
282
23.02
237
23.86
266


20.52
257
21.36
272
22.2
246
23.04
239
23.88
240


20.54
235
21.38
272
22.22
296
23.06
238
23.9
256


20.56
255
21.4
288
22.24
303
23.08
228
23.92
264


20.58
231
21.42
299
22.26
247
23.1
245
23.94
244


20.6
208
21.44
237
22.28
261
23.12
252
23.96
224


20.62
229
21.46
249
22.3
284
23.14
254
23.98
241


24
225
24.84
249
25.68
258
26.52
236
27.36
225


24.02
251
24.86
233
25.7
248
26.54
237
27.38
212


24.04
272
24.88
242
25.72
275
26.56
233
27.4
224


24.06
281
24.9
251
25.74
271
26.58
251
27.42
244


24.08
232
24.92
245
25.76
286
26.6
227
27.44
207


24.1
264
24.94
260
25.78
263
26.62
212
27.46
237


24.12
256
24.96
243
25.8
274
26.64
235
27.48
235


24.14
261
24.98
251
25.82
263
26.66
233
27.5
271


24.16
245
25
256
25.84
239
26.68
226
27.52
228


24.18
277
25.02
257
25.86
236
26.7
247
27.54
233


24.2
235
25.04
268
25.88
223
26.72
230
27.56
243


24.22
238
25.06
279
25.9
213
26.74
228
27.58
224


24.24
250
25.08
276
25.92
245
26.76
231
27.6
225


24.26
238
25.1
275
25.94
246
26.78
239
27.62
217


24.28
261
25.12
251
25.96
223
26.8
231
27.64
212


24.3
251
25.14
262
25.98
238
26.82
257
27.66
223


24.32
236
25.16
266
26
227
26.84
273
27.68
223


24.34
246
25.18
243
26.02
197
26.86
239
27.7
236


24.36
234
25.2
234
26.04
247
26.88
284
27.72
200


24.38
237
25.22
226
26.06
232
26.9
269
27.74
231


24.4
247
25.24
261
26.08
225
26.92
281
27.76
219


24.42
221
25.26
255
26.1
215
26.94
279
27.78
224


24.44
228
25.28
238
26.12
244
26.96
252
27.8
231


24.46
232
25.3
239
26.14
227
26.98
259
27.82
262


24.48
273
25.32
204
26.16
231
27
270
27.84
229


24.5
251
25.34
243
26.18
224
27.02
268
27.86
247


24.52
219
25.36
249
26.2
233
27.04
282
27.88
272


24.54
241
25.38
251
26.22
233
27.06
323
27.9
361


24.56
226
25.4
271
26.24
236
27.08
263
27.92
404


24.58
244
25.42
231
26.26
254
27.1
251
27.94
377


24.6
269
25.44
232
26.28
232
27.12
260
27.96
333


24.62
258
25.46
242
26.3
210
27.14
229
27.98
306


24.64
238
25.48
244
26.32
219
27.16
250
28
314


24.66
234
25.5
244
26.34
204
27.18
238
28.02
263


24.68
262
25.52
241
26.36
250
27.2
227
28.04
227


24.7
232
25.54
210
26.38
224
27.22
206
28.06
233


24.72
249
25.56
247
26.4
253
27.24
218
28.08
209


24.74
240
25.58
218
26.42
226
27.26
215
28.1
223


24.76
216
25.6
244
26.44
234
27.28
221
28.12
216


24.78
225
25.62
242
26.46
203
27.3
201
28.14
192


24.8
214
25.64
258
26.48
234
27.32
221
28.16
207


24.82
257
25.66
240
26.5
246
27.34
200
28.18
207


28.2
198
29.04
254
29.88
199
30.72
186
31.56
187


28.22
229
29.06
254
29.9
187
30.74
192
31.58
199


28.24
190
29.08
243
29.92
213
30.76
184
31.6
192


28.26
237
29.1
256
29.94
176
30.78
190
31.62
166


28.28
242
29.12
216
29.96
223
30.8
178
31.64
170


28.3
246
29.14
235
29.98
202
30.82
178
31.66
178


28.32
208
29.16
224
30
192
30.84
167
31.68
194


28.34
197
29.18
223
30.02
183
30.86
181
31.7
177


28.36
243
29.2
204
30.04
200
30.88
168
31.72
171


28.38
205
29.22
199
30.06
199
30.9
169
31.74
166


28.4
208
29.24
261
30.08
198
30.92
177
31.76
168


28.42
218
29.26
233
30.1
164
30.94
174
31.78
179


28.44
203
29.28
257
30.12
205
30.96
201
31.8
168


28.46
217
29.3
265
30.14
186
30.98
187
31.82
184


28.48
218
29.32
280
30.16
178
31
167
31.84
169


28.5
237
29.34
276
30.18
188
31.02
190
31.86
166


28.52
255
29.36
263
30.2
206
31.04
193
31.88
163


28.54
242
29.38
227
30.22
201
31.06
183
31.9
175


28.56
226
29.4
250
30.24
205
31.08
170
31.92
195


28.58
220
29.42
199
30.26
208
31.1
192
31.94
155


28.6
196
29.44
233
30.28
186
31.12
166
31.96
180


28.62
231
29.46
211
30.3
195
31.14
175
31.98
157


28.64
246
29.48
234
30.32
200
31.16
175
32
169


28.66
207
29.5
218
30.34
204
31.18
204
32.02
167


28.68
192
29.52
211
30.36
169
31.2
189
32.04
160


28.7
206
29.54
218
30.38
204
31.22
170
32.06
190


28.72
213
29.56
199
30.4
213
31.24
191
32.08
184


28.74
234
29.58
193
30.42
184
31.26
170
32.1
176


28.76
193
29.6
195
30.44
187
31.28
203
32.12
200


28.78
196
29.62
203
30.46
181
31.3
192
32.14
204


28.8
220
29.64
185
30.48
185
31.32
223
32.16
194


28.82
222
29.66
187
30.5
167
31.34
185
32.18
166


28.84
187
29.68
185
30.52
180
31.36
201
32.2
158


28.86
195
29.7
200
30.54
193
31.38
182
32.22
173


28.88
226
29.72
185
30.56
195
31.4
185
32.24
178


28.9
209
29.74
221
30.58
185
31.42
182
32.26
179


28.92
212
29.76
221
30.6
191
31.44
189
32.28
176


28.94
201
29.78
209
30.62
176
31.46
173
32.3
146


28.96
244
29.8
211
30.64
190
31.48
203
32.32
166


28.98
230
29.82
189
30.66
177
31.5
152
32.34
167


29
216
29.84
219
30.68
169
31.52
156
32.36
169


29.02
267
29.86
195
30.7
186
31.54
174
32.38
181


32.4
162
33.24
156
34.08
175
34.92
172


32.42
192
33.26
139
34.1
157
34.94
138


32.44
165
33.28
171
34.12
163
34.96
139


32.46
163
33.3
160
34.14
149
34.98
167


32.48
175
33.32
171
34.16
160
35
136


32.5
172
33.34
167
34.18
159


32.52
170
33.36
161
34.2
140


32.54
175
33.38
157
34.22
145


32.56
170
33.4
169
34.24
151


32.58
177
33.42
166
34.26
155


32.6
210
33.44
149
34.28
126


32.62
167
33.46
167
34.3
143


32.64
180
33.48
156
34.32
152


32.66
169
33.5
173
34.34
178


32.68
170
33.52
162
34.36
163


32.7
158
33.54
139
34.38
146


32.72
171
33.56
161
34.4
146


32.74
164
33.58
166
34.42
151


32.76
165
33.6
166
34.44
156


32.78
191
33.62
163
34.46
153


32.8
163
33.64
158
34.48
153


32.82
162
33.66
162
34.5
140


32.84
203
33.68
147
34.52
149


32.86
167
33.7
161
34.54
146


32.88
180
33.72
171
34.56
152


32.9
170
33.74
157
34.58
166


32.92
171
33.76
162
34.6
159


32.94
187
33.78
151
34.62
154


32.96
171
33.8
156
34.64
138


32.98
177
33.82
164
34.66
127


33
171
33.84
151
34.68
155


33.02
207
33.86
150
34.7
151


33.04
154
33.88
158
34.72
143


33.06
173
33.9
156
34.74
143


33.08
170
33.92
148
34.76
137


33.1
154
33.94
164
34.78
120


33.12
181
33.96
168
34.8
174


33.14
175
33.98
158
34.82
161


33.16
174
34
166
34.84
123


33.18
151
34.02
168
34.86
165


33.2
182
34.04
146
34.88
157


33.22
197
34.06
178
34.9
169










FIG. 12
















2Theta
106
2Theta
106
2Theta
106
2Theta
106
2Theta
106





3
128
3.84
102
4.68
108
5.52
135
6.36
153


3.02
109
3.86
89
4.7
106
5.54
104
6.38
158


3.04
102
3.88
96
4.72
128
5.56
119
6.4
142


3.06
107
3.9
105
4.74
103
5.58
146
6.42
139


3.08
102
3.92
97
4.76
104
5.6
141
6.44
152


3.1
116
3.94
109
4.78
101
5.62
144
6.46
146


3.12
113
3.96
110
4.8
111
5.64
121
6.48
159


3.14
111
3.98
95
4.82
114
5.66
117
6.5
176


3.16
123
4
89
4.84
115
5.68
110
6.52
138


3.18
113
4.02
104
4.86
113
5.7
134
6.54
164


3.2
110
4.04
105
4.88
135
5.72
134
6.56
155


3.22
118
4.06
103
4.9
113
5.74
133
6.58
159


3.24
98
4.08
112
4.92
104
5.76
120
6.6
124


3.26
94
4.1
111
4.94
115
5.78
137
6.62
136


3.28
103
4.12
103
4.96
134
5.8
136
6.64
153


3.3
113
4.14
101
4.98
119
5.82
150
6.66
167


3.32
102
4.16
114
5
117
5.84
126
6.68
158


3.34
92
4.18
108
5.02
120
5.86
133
6.7
171


3.36
100
4.2
106
5.04
109
5.88
142
6.72
178


3.38
126
4.22
110
5.06
151
5.9
136
6.74
161


3.4
87
4.24
110
5.08
116
5.92
137
6.76
146


3.42
97
4.26
101
5.1
86
5.94
140
6.78
145


3.44
108
4.28
102
5.12
133
5.96
135
6.8
155


3.46
97
4.3
112
5.14
130
5.98
140
6.82
142


3.48
104
4.32
111
5.16
120
6
133
6.84
162


3.5
114
4.34
116
5.18
120
6.02
134
6.86
187


3.52
110
4.36
100
5.2
122
6.04
149
6.88
185


3.54
100
4.38
94
5.22
124
6.06
134
6.9
212


3.56
120
4.4
104
5.24
106
6.08
126
6.92
276


3.58
101
4.42
106
5.26
114
6.1
142
6.94
262


3.6
106
4.44
100
5.28
131
6.12
148
6.96
242


3.62
140
4.46
100
5.3
122
6.14
136
6.98
198


3.64
95
4.48
98
5.32
128
6.16
145
7
157


3.66
105
4.5
102
5.34
123
6.18
131
7.02
156


3.68
103
4.52
114
5.36
135
6.2
143
7.04
151


3.7
95
4.54
91
5.38
129
6.22
155
7.06
160


3.72
117
4.56
123
5.4
117
6.24
135
7.08
191


3.74
106
4.58
103
5.42
130
6.26
180
7.1
171


3.76
102
4.6
109
5.44
123
6.28
146
7.12
138


3.78
96
4.62
96
5.46
134
6.3
147
7.14
154


3.8
122
4.64
93
5.48
140
6.32
116
7.16
141


3.82
112
4.66
127
5.5
139
6.34
145
7.18
145


7.2
149
8.04
162
8.88
171
9.72
199
10.56
204


7.22
167
8.06
151
8.9
195
9.74
225
10.58
218


7.24
169
8.08
188
8.92
186
9.76
194
10.6
219


7.26
132
8.1
211
8.94
183
9.78
207
10.62
219


7.28
125
8.12
206
8.96
193
9.8
192
10.64
237


7.3
158
8.14
233
8.98
175
9.82
216
10.66
228


7.32
161
8.16
221
9
196
9.84
216
10.68
223


7.34
146
8.18
167
9.02
175
9.86
210
10.7
197


7.36
153
8.2
195
9.04
184
9.88
196
10.72
222


7.38
168
8.22
188
9.06
211
9.9
220
10.74
232


7.4
172
8.24
175
9.08
181
9.92
206
10.76
201


7.42
141
8.26
172
9.1
171
9.94
211
10.78
210


7.44
146
8.28
166
9.12
179
9.96
210
10.8
231


7.46
204
8.3
172
9.14
186
9.98
201
10.82
214


7.48
159
8.32
179
9.16
200
10
181
10.84
236


7.5
150
8.34
163
9.18
201
10.02
207
10.86
253


7.52
162
8.36
154
9.2
209
10.04
212
10.88
193


7.54
156
8.38
162
9.22
193
10.06
219
10.9
210


7.56
165
8.4
184
9.24
191
10.08
222
10.92
228


7.58
184
8.42
172
9.26
182
10.1
194
10.94
231


7.6
166
8.44
168
9.28
205
10.12
198
10.96
252


7.62
149
8.46
171
9.3
192
10.14
194
10.98
247


7.64
158
8.48
188
9.32
193
10.16
211
11
261


7.66
185
8.5
151
9.34
182
10.18
213
11.02
265


7.68
175
8.52
178
9.36
218
10.2
209
11.04
289


7.7
161
8.54
165
9.38
189
10.22
205
11.06
320


7.72
159
8.56
191
9.4
183
10.24
212
11.08
268


7.74
145
8.58
159
9.42
187
10.26
218
11.1
330


7.76
155
8.6
174
9.44
187
10.28
197
11.12
304


7.78
170
8.62
151
9.46
185
10.3
209
11.14
343


7.8
187
8.64
193
9.48
223
10.32
172
11.16
384


7.82
169
8.66
187
9.5
223
10.34
242
11.18
478


7.84
167
8.68
196
9.52
180
10.36
203
11.2
686


7.86
163
8.7
187
9.54
202
10.38
229
11.22
716


7.88
183
8.72
151
9.56
204
10.4
194
11.24
628


7.9
173
8.74
156
9.58
199
10.42
204
11.26
427


7.92
186
8.76
197
9.6
193
10.44
218
11.28
287


7.94
172
8.78
154
9.62
207
10.46
219
11.3
251


7.96
154
8.8
168
9.64
199
10.48
205
11.32
265


7.98
161
8.82
185
9.66
198
10.5
237
11.34
238


8
146
8.84
162
9.68
192
10.52
249
11.36
233


8.02
165
8.86
177
9.7
212
10.54
216
11.38
222


11.4
249
12.24
247
13.08
248
13.92
290
14.76
258


11.42
268
12.26
245
13.1
255
13.94
280
14.78
257


11.44
219
12.28
226
13.12
231
13.96
272
14.8
273


11.46
250
12.3
255
13.14
260
13.98
279
14.82
265


11.48
231
12.32
269
13.16
286
14
288
14.84
270


11.5
240
12.34
262
13.18
263
14.02
283
14.86
245


11.52
233
12.36
245
13.2
262
14.04
251
14.88
267


11.54
210
12.38
260
13.22
247
14.06
281
14.9
235


11.56
214
12.4
264
13.24
285
14.08
262
14.92
283


11.58
237
12.42
244
13.26
257
14.1
272
14.94
269


11.6
265
12.44
263
13.28
264
14.12
291
14.96
262


11.62
220
12.46
270
13.3
247
14.14
280
14.98
281


11.64
241
12.48
246
13.32
235
14.16
253
15
279


11.66
211
12.5
239
13.34
273
14.18
286
15.02
261


11.68
239
12.52
254
13.36
305
14.2
249
15.04
273


11.7
248
12.54
259
13.38
305
14.22
278
15.06
270


11.72
228
12.56
227
13.4
289
14.24
267
15.08
286


11.74
250
12.58
217
13.42
310
14.26
239
15.1
250


11.76
241
12.6
258
13.44
309
14.28
265
15.12
227


11.78
256
12.62
265
13.46
325
14.3
261
15.14
266


11.8
214
12.64
248
13.48
348
14.32
285
15.16
265


11.82
218
12.66
219
13.5
395
14.34
280
15.18
256


11.84
244
12.68
270
13.52
393
14.36
236
15.2
269


11.86
234
12.7
255
13.54
496
14.38
289
15.22
262


11.88
240
12.72
250
13.56
589
14.4
254
15.24
275


11.9
231
12.74
263
13.58
666
14.42
291
15.26
265


11.92
263
12.76
249
13.6
869
14.44
252
15.28
296


11.94
221
12.78
253
13.62
1176
14.46
272
15.3
244


11.96
241
12.8
251
13.64
1400
14.48
278
15.32
263


11.98
249
12.82
225
13.66
1353
14.5
286
15.34
245


12
256
12.84
263
13.68
978
14.52
282
15.36
261


12.02
215
12.86
242
13.7
718
14.54
332
15.38
231


12.04
249
12.88
258
13.72
439
14.56
260
15.4
259


12.06
267
12.9
296
13.74
360
14.58
289
15.42
241


12.08
246
12.92
228
13.76
292
14.6
280
15.44
315


12.1
244
12.94
247
13.78
291
14.62
282
15.46
279


12.12
230
12.96
232
13.8
282
14.64
264
15.48
254


12.14
248
12.98
264
13.82
286
14.66
273
15.5
233


12.16
231
13
270
13.84
300
14.68
243
15.52
246


12.18
231
13.02
228
13.86
308
14.7
262
15.54
245


12.2
247
13.04
271
13.88
304
14.72
292
15.56
278


12.22
262
13.06
238
13.9
278
14.74
257
15.58
232


15.6
275
16.44
755
17.28
243
18.12
339
18.96
907


15.62
287
16.46
708
17.3
270
18.14
302
18.98
1103


15.64
258
16.48
568
17.32
229
18.16
266
19
1317


15.66
273
16.5
443
17.34
263
18.18
257
19.02
1186


15.68
277
16.52
353
17.36
232
18.2
259
19.04
949


15.7
250
16.54
267
17.38
266
18.22
252
19.06
753


15.72
225
16.56
254
17.4
322
18.24
248
19.08
502


15.74
238
16.58
262
17.42
354
18.26
235
19.1
377


15.76
244
16.6
275
17.44
351
18.28
257
19.12
269


15.78
235
16.62
263
17.46
446
18.3
233
19.14
284


15.8
249
16.64
248
17.48
466
18.32
257
19.16
245


15.82
251
16.66
273
17.5
445
18.34
230
19.18
257


15.84
249
16.68
242
17.52
392
18.36
247
19.2
266


15.86
243
16.7
222
17.54
380
18.38
260
19.22
223


15.88
247
16.72
280
17.56
318
18.4
254
19.24
250


15.9
267
16.74
235
17.58
367
18.42
244
19.26
251


15.92
295
16.76
245
17.6
424
18.44
251
19.28
273


15.94
258
16.78
260
17.62
523
18.46
236
19.3
246


15.96
274
16.8
246
17.64
623
18.48
253
19.32
258


15.98
255
16.82
270
17.66
675
18.5
236
19.34
241


16
239
16.84
213
17.68
633
18.52
260
19.36
269


16.02
272
16.86
227
17.7
700
18.54
234
19.38
248


16.04
262
16.88
251
17.72
582
18.56
264
19.4
242


16.06
266
16.9
227
17.74
503
18.58
255
19.42
229


16.08
265
16.92
274
17.76
431
18.6
268
19.44
258


16.1
278
16.94
246
17.78
354
18.62
236
19.46
241


16.12
243
16.96
260
17.8
311
18.64
227
19.48
261


16.14
279
16.98
237
17.82
281
18.66
272
19.5
233


16.16
280
17
260
17.84
337
18.68
254
19.52
252


16.18
276
17.02
240
17.86
348
18.7
261
19.54
213


16.2
275
17.04
267
17.88
334
18.72
240
19.56
243


16.22
297
17.06
263
17.9
366
18.74
287
19.58
262


16.24
315
17.08
237
17.92
452
18.76
250
19.6
255


16.26
323
17.1
261
17.94
535
18.78
251
19.62
237


16.28
333
17.12
274
17.96
709
18.8
275
19.64
251


16.3
383
17.14
285
17.98
901
18.82
293
19.66
256


16.32
406
17.16
270
18
969
18.84
336
19.68
247


16.34
401
17.18
251
18.02
1074
18.86
331
19.7
214


16.36
428
17.2
251
18.04
887
18.88
373
19.72
235


16.38
414
17.22
253
18.06
764
18.9
412
19.74
237


16.4
498
17.24
264
18.08
555
18.92
447
19.76
242


16.42
609
17.26
246
18.1
441
18.94
582
19.78
262


19.8
245
20.64
265
21.48
272
22.32
296
23.16
238


19.82
252
20.66
259
21.5
279
22.34
296
23.18
254


19.84
254
20.68
272
21.52
256
22.36
297
23.2
257


19.86
235
20.7
225
21.54
241
22.38
298
23.22
236


19.88
258
20.72
257
21.56
265
22.4
300
23.24
247


19.9
237
20.74
256
21.58
254
22.42
329
23.26
227


19.92
222
20.76
252
21.6
213
22.44
326
23.28
271


19.94
251
20.78
257
21.62
238
22.46
475
23.3
241


19.96
263
20.8
253
21.64
251
22.48
728
23.32
224


19.98
233
20.82
271
21.66
269
22.5
958
23.34
230


20
264
20.84
322
21.68
266
22.52
978
23.36
223


20.02
272
20.86
313
21.7
238
22.54
832
23.38
262


20.04
251
20.88
320
21.72
248
22.56
703
23.4
277


20.06
253
20.9
317
21.74
234
22.58
605
23.42
277


20.08
248
20.92
291
21.76
216
22.6
416
23.44
261


20.1
245
20.94
278
21.78
249
22.62
325
23.46
266


20.12
287
20.96
257
21.8
218
22.64
317
23.48
280


20.14
266
20.98
274
21.82
258
22.66
330
23.5
272


20.16
274
21
264
21.84
241
22.68
307
23.52
301


20.18
288
21.02
242
21.86
262
22.7
286
23.54
256


20.2
272
21.04
238
21.88
248
22.72
272
23.56
339


20.22
232
21.06
246
21.9
242
22.74
286
23.58
359


20.24
263
21.08
282
21.92
228
22.76
296
23.6
370


20.26
277
21.1
264
21.94
274
22.78
246
23.62
385


20.28
242
21.12
248
21.96
244
22.8
296
23.64
331


20.3
254
21.14
275
21.98
241
22.82
248
23.66
319


20.32
236
21.16
271
22
261
22.84
246
23.68
306


20.34
260
21.18
254
22.02
261
22.86
242
23.7
285


20.36
219
21.2
272
22.04
235
22.88
273
23.72
244


20.38
241
21.22
241
22.06
249
22.9
263
23.74
244


20.4
253
21.24
247
22.08
247
22.92
247
23.76
244


20.42
241
21.26
228
22.1
264
22.94
279
23.78
237


20.44
249
21.28
217
22.12
229
22.96
225
23.8
255


20.46
247
21.3
242
22.14
243
22.98
263
23.82
254


20.48
268
21.32
241
22.16
277
23
221
23.84
240


20.5
278
21.34
267
22.18
279
23.02
255
23.86
292


20.52
309
21.36
276
22.2
257
23.04
248
23.88
236


20.54
274
21.38
262
22.22
272
23.06
280
23.9
228


20.56
243
21.4
280
22.24
288
23.08
243
23.92
283


20.58
268
21.42
260
22.26
285
23.1
255
23.94
245


20.6
281
21.44
285
22.28
298
23.12
257
23.96
258


20.62
266
21.46
309
22.3
319
23.14
256
23.98
247


24
254
24.84
233
25.68
252
26.52
258
27.36
236


24.02
264
24.86
261
25.7
230
26.54
228
27.38
241


24.04
261
24.88
223
25.72
276
26.56
224
27.4
209


24.06
236
24.9
247
25.74
242
26.58
234
27.42
206


24.08
241
24.92
239
25.76
254
26.6
230
27.44
252


24.1
243
24.94
197
25.78
270
26.62
237
27.46
268


24.12
257
24.96
270
25.8
275
26.64
233
27.48
267


24.14
252
24.98
259
25.82
279
26.66
223
27.5
324


24.16
242
25
212
25.84
258
26.68
210
27.52
306


24.18
252
25.02
270
25.86
260
26.7
225
27.54
340


24.2
241
25.04
261
25.88
276
26.72
241
27.56
319


24.22
226
25.06
267
25.9
243
26.74
208
27.58
310


24.24
234
25.08
212
25.92
229
26.76
258
27.6
269


24.26
242
25.1
250
25.94
232
26.78
242
27.62
258


24.28
240
25.12
230
25.96
241
26.8
274
27.64
233


24.3
232
25.14
237
25.98
216
26.82
223
27.66
217


24.32
261
25.16
243
26
238
26.84
251
27.68
203


24.34
254
25.18
235
26.02
261
26.86
252
27.7
216


24.36
213
25.2
229
26.04
237
26.88
230
27.72
229


24.38
236
25.22
236
26.06
213
26.9
240
27.74
227


24.4
265
25.24
236
26.08
240
26.92
223
27.76
224


24.42
271
25.26
227
26.1
214
26.94
240
27.78
207


24.44
251
25.28
255
26.12
201
26.96
256
27.8
222


24.46
245
25.3
237
26.14
224
26.98
237
27.82
248


24.48
279
25.32
226
26.16
227
27
224
27.84
250


24.5
274
25.34
226
26.18
222
27.02
234
27.86
331


24.52
294
25.36
256
26.2
210
27.04
242
27.88
438


24.54
307
25.38
253
26.22
211
27.06
252
27.9
565


24.56
318
25.4
258
26.24
232
27.08
245
27.92
663


24.58
295
25.42
256
26.26
231
27.1
261
27.94
620


24.6
257
25.44
232
26.28
214
27.12
256
27.96
533


24.62
267
25.46
278
26.3
235
27.14
232
27.98
506


24.64
251
25.48
256
26.32
231
27.16
217
28
436


24.66
252
25.5
233
26.34
252
27.18
227
28.02
337


24.68
276
25.52
250
26.36
229
27.2
211
28.04
295


24.7
245
25.54
253
26.38
210
27.22
196
28.06
257


24.72
235
25.56
237
26.4
234
27.24
196
28.08
229


24.74
260
25.58
223
26.42
243
27.26
226
28.1
246


24.76
232
25.6
250
26.44
218
27.28
253
28.12
220


24.78
217
25.62
227
26.46
215
27.3
245
28.14
213


24.8
250
25.64
249
26.48
239
27.32
207
28.16
220


24.82
249
25.66
242
26.5
227
27.34
231
28.18
214


28.2
211
29.04
212
29.88
194
30.72
225
31.56
185


28.22
211
29.06
250
29.9
243
30.74
185
31.58
177


28.24
229
29.08
236
29.92
211
30.76
167
31.6
172


28.26
201
29.1
235
29.94
221
30.78
178
31.62
198


28.28
238
29.12
245
29.96
184
30.8
200
31.64
221


28.3
211
29.14
237
29.98
189
30.82
201
31.66
199


28.32
203
29.16
222
30
219
30.84
206
31.68
177


28.34
199
29.18
231
30.02
202
30.86
202
31.7
193


28.36
227
29.2
211
30.04
192
30.88
174
31.72
184


28.38
203
29.22
245
30.06
179
30.9
190
31.74
187


28.4
210
29.24
232
30.08
202
30.92
201
31.76
187


28.42
193
29.26
249
30.1
189
30.94
197
31.78
176


28.44
217
29.28
272
30.12
206
30.96
178
31.8
189


28.46
251
29.3
301
30.14
211
30.98
197
31.82
187


28.48
223
29.32
302
30.16
223
31
165
31.84
197


28.5
220
29.34
294
30.18
218
31.02
202
31.86
166


28.52
237
29.36
273
30.2
187
31.04
182
31.88
163


28.54
241
29.38
262
30.22
183
31.06
193
31.9
171


28.56
233
29.4
224
30.24
214
31.08
170
31.92
159


28.58
242
29.42
259
30.26
205
31.1
181
31.94
152


28.6
224
29.44
205
30.28
206
31.12
193
31.96
180


28.62
242
29.46
197
30.3
218
31.14
223
31.98
185


28.64
261
29.48
227
30.32
205
31.16
207
32
184


28.66
257
29.5
228
30.34
182
31.18
183
32.02
209


28.68
243
29.52
195
30.36
208
31.2
160
32.04
169


28.7
253
29.54
184
30.38
211
31.22
173
32.06
162


28.72
237
29.56
211
30.4
205
31.24
198
32.08
175


28.74
248
29.58
205
30.42
204
31.26
181
32.1
182


28.76
199
29.6
191
30.44
153
31.28
203
32.12
155


28.78
224
29.62
223
30.46
174
31.3
180
32.14
174


28.8
237
29.64
175
30.48
191
31.32
179
32.16
166


28.82
213
29.66
197
30.5
161
31.34
181
32.18
199


28.84
247
29.68
223
30.52
189
31.36
186
32.2
156


28.86
198
29.7
209
30.54
188
31.38
201
32.22
182


28.88
196
29.72
197
30.56
192
31.4
201
32.24
154


28.9
207
29.74
172
30.58
213
31.42
201
32.26
174


28.92
204
29.76
183
30.6
202
31.44
173
32.28
183


28.94
222
29.78
223
30.62
187
31.46
152
32.3
192


28.96
215
29.8
196
30.64
185
31.48
163
32.32
188


28.98
186
29.82
181
30.66
190
31.5
180
32.34
183


29
231
29.84
190
30.68
203
31.52
151
32.36
217


29.02
216
29.86
206
30.7
197
31.54
170
32.38
204


32.4
166
33.24
189
34.08
234
34.92
173


32.42
215
33.26
183
34.1
223
34.94
157


32.44
211
33.28
161
34.12
217
34.96
153


32.46
196
33.3
156
34.14
196
34.98
146


32.48
181
33.32
181
34.16
200
35
138


32.5
178
33.34
173
34.18
197


32.52
198
33.36
160
34.2
195


32.54
159
33.38
202
34.22
172


32.56
161
33.4
164
34.24
161


32.58
176
33.42
143
34.26
179


32.6
192
33.44
183
34.28
150


32.62
176
33.46
178
34.3
144


32.64
162
33.48
168
34.32
163


32.66
172
33.5
173
34.34
146


32.68
174
33.52
139
34.36
135


32.7
200
33.54
148
34.38
166


32.72
180
33.56
161
34.4
129


32.74
171
33.58
166
34.42
167


32.76
159
33.6
159
34.44
136


32.78
162
33.62
150
34.46
140


32.8
181
33.64
135
34.48
134


32.82
169
33.66
142
34.5
149


32.84
169
33.68
170
34.52
148


32.86
185
33.7
158
34.54
169


32.88
186
33.72
144
34.56
147


32.9
186
33.74
155
34.58
153


32.92
166
33.76
171
34.6
151


32.94
162
33.78
159
34.62
140


32.96
166
33.8
177
34.64
149


32.98
156
33.82
167
34.66
171


33
170
33.84
167
34.68
147


33.02
193
33.86
157
34.7
152


33.04
180
33.88
160
34.72
150


33.06
180
33.9
160
34.74
170


33.08
190
33.92
174
34.76
150


33.1
161
33.94
161
34.78
160


33.12
180
33.96
160
34.8
142


33.14
166
33.98
187
34.82
162


33.16
170
34
173
34.84
148


33.18
154
34.02
183
34.86
170


33.2
175
34.04
246
34.88
146


33.22
187
34.06
223
34.9
162










FIG. 20
















2Theta
108
2Theta
108
2Theta
108
2Theta
108
2Theta
108





3
112
3.84
95
4.68
89
5.52
94
6.36
77


3.02
110
3.86
94
4.7
86
5.54
90
6.38
83


3.04
101
3.88
95
4.72
94
5.56
87
6.4
87


3.06
127
3.9
96
4.74
86
5.58
86
6.42
85


3.08
101
3.92
92
4.76
98
5.6
90
6.44
81


3.1
129
3.94
84
4.78
86
5.62
101
6.46
81


3.12
91
3.96
91
4.8
99
5.64
86
6.48
100


3.14
113
3.98
92
4.82
86
5.66
85
6.5
67


3.16
101
4
113
4.84
91
5.68
83
6.52
56


3.18
117
4.02
87
4.86
103
5.7
96
6.54
105


3.2
96
4.04
106
4.88
79
5.72
99
6.56
72


3.22
107
4.06
92
4.9
82
5.74
77
6.58
91


3.24
107
4.08
102
4.92
94
5.76
97
6.6
72


3.26
109
4.1
110
4.94
96
5.78
87
6.62
82


3.28
98
4.12
110
4.96
88
5.8
87
6.64
75


3.3
120
4.14
99
4.98
92
5.82
100
6.66
85


3.32
93
4.16
103
5
105
5.84
108
6.68
81


3.34
99
4.18
92
5.02
88
5.86
88
6.7
89


3.36
95
4.2
101
5.04
98
5.88
94
6.72
71


3.38
109
4.22
85
5.06
95
5.9
85
6.74
78


3.4
117
4.24
92
5.08
83
5.92
89
6.76
80


3.42
88
4.26
79
5.1
78
5.94
96
6.78
86


3.44
109
4.28
104
5.12
84
5.96
85
6.8
88


3.46
97
4.3
91
5.14
82
5.98
98
6.82
80


3.48
110
4.32
98
5.16
103
6
72
6.84
76


3.5
90
4.34
91
5.18
81
6.02
83
6.86
60


3.52
97
4.36
92
5.2
81
6.04
86
6.88
83


3.54
104
4.38
118
5.22
76
6.06
89
6.9
79


3.56
105
4.4
83
5.24
111
6.08
102
6.92
76


3.58
86
4.42
88
5.26
95
6.1
89
6.94
92


3.6
87
4.44
73
5.28
89
6.12
82
6.96
68


3.62
112
4.46
97
5.3
87
6.14
79
6.98
82


3.64
108
4.48
94
5.32
95
6.16
67
7
78


3.66
108
4.5
86
5.34
97
6.18
70
7.02
76


3.68
110
4.52
86
5.36
104
6.2
79
7.04
74


3.7
108
4.54
97
5.38
85
6.22
85
7.06
76


3.72
87
4.56
105
5.4
87
6.24
92
7.08
78


3.74
105
4.58
80
5.42
96
6.26
77
7.1
80


3.76
97
4.6
85
5.44
101
6.28
74
7.12
97


3.78
112
4.62
87
5.46
81
6.3
78
7.14
65


3.8
89
4.64
109
5.48
85
6.32
77
7.16
70


3.82
90
4.66
83
5.5
88
6.34
85
7.18
80


7.2
82
8.04
74
8.88
130
9.72
114
10.56
139


7.22
75
8.06
90
8.9
101
9.74
119
10.58
121


7.24
72
8.08
87
8.92
136
9.76
121
10.6
131


7.26
82
8.1
87
8.94
114
9.78
96
10.62
121


7.28
82
8.12
78
8.96
122
9.8
127
10.64
117


7.3
69
8.14
89
8.98
111
9.82
106
10.66
132


7.32
76
8.16
80
9
120
9.84
126
10.68
124


7.34
72
8.18
94
9.02
131
9.86
88
10.7
131


7.36
75
8.2
79
9.04
116
9.88
97
10.72
133


7.38
80
8.22
72
9.06
117
9.9
114
10.74
144


7.4
72
8.24
80
9.08
111
9.92
112
10.76
131


7.42
73
8.26
81
9.1
102
9.94
124
10.78
135


7.44
98
8.28
75
9.12
113
9.96
139
10.8
132


7.46
85
8.3
102
9.14
105
9.98
108
10.82
129


7.48
72
8.32
93
9.16
113
10
134
10.84
138


7.5
79
8.34
88
9.18
88
10.02
127
10.86
141


7.52
90
8.36
90
9.2
103
10.04
119
10.88
125


7.54
84
8.38
85
9.22
121
10.06
114
10.9
137


7.56
65
8.4
79
9.24
107
10.08
109
10.92
117


7.58
92
8.42
89
9.26
99
10.1
117
10.94
143


7.6
69
8.44
93
9.28
142
10.12
128
10.96
161


7.62
86
8.46
100
9.3
114
10.14
131
10.98
150


7.64
88
8.48
88
9.32
105
10.16
127
11
136


7.66
91
8.5
90
9.34
106
10.18
135
11.02
164


7.68
71
8.52
91
9.36
127
10.2
123
11.04
145


7.7
70
8.54
80
9.38
120
10.22
118
11.06
143


7.72
78
8.56
89
9.4
113
10.24
121
11.08
138


7.74
80
8.58
93
9.42
103
10.26
139
11.1
143


7.76
83
8.6
78
9.44
105
10.28
107
11.12
156


7.78
73
8.62
92
9.46
118
10.3
119
11.14
162


7.8
94
8.64
99
9.48
122
10.32
138
11.16
127


7.82
59
8.66
82
9.5
115
10.34
140
11.18
144


7.84
92
8.68
100
9.52
108
10.36
128
11.2
150


7.86
99
8.7
107
9.54
122
10.38
126
11.22
151


7.88
81
8.72
96
9.56
96
10.4
123
11.24
135


7.9
82
8.74
93
9.58
97
10.42
144
11.26
150


7.92
84
8.76
91
9.6
115
10.44
136
11.28
144


7.94
88
8.78
86
9.62
106
10.46
131
11.3
129


7.96
100
8.8
114
9.64
117
10.48
126
11.32
171


7.98
101
8.82
106
9.66
118
10.5
100
11.34
143


8
74
8.84
106
9.68
115
10.52
139
11.36
150


8.02
84
8.86
103
9.7
97
10.54
135
11.38
161


11.4
161
12.24
167
13.08
161
13.92
260
14.76
262


11.42
156
12.26
165
13.1
182
13.94
221
14.78
266


11.44
156
12.28
183
13.12
189
13.96
257
14.8
217


11.46
154
12.3
155
13.14
206
13.98
256
14.82
210


11.48
152
12.32
186
13.16
197
14
262
14.84
228


11.5
153
12.34
180
13.18
181
14.02
246
14.86
209


11.52
180
12.36
176
13.2
199
14.04
222
14.88
215


11.54
174
12.38
179
13.22
200
14.06
246
14.9
212


11.56
144
12.4
170
13.24
234
14.08
230
14.92
210


11.58
162
12.42
172
13.26
179
14.1
195
14.94
186


11.6
177
12.44
164
13.28
224
14.12
235
14.96
193


11.62
156
12.46
170
13.3
180
14.14
192
14.98
198


11.64
155
12.48
185
13.32
169
14.16
191
15
198


11.66
156
12.5
182
13.34
194
14.18
224
15.02
197


11.68
146
12.52
164
13.36
195
14.2
197
15.04
184


11.7
154
12.54
177
13.38
196
14.22
191
15.06
220


11.72
151
12.56
195
13.4
180
14.24
213
15.08
197


11.74
134
12.58
166
13.42
182
14.26
201
15.1
210


11.76
154
12.6
186
13.44
187
14.28
190
15.12
189


11.78
162
12.62
168
13.46
178
14.3
231
15.14
195


11.8
170
12.64
186
13.48
183
14.32
221
15.16
176


11.82
143
12.66
186
13.5
191
14.34
216
15.18
224


11.84
174
12.68
168
13.52
212
14.36
210
15.2
183


11.86
164
12.7
167
13.54
164
14.38
219
15.22
184


11.88
183
12.72
179
13.56
197
14.4
224
15.24
192


11.9
132
12.74
175
13.58
219
14.42
227
15.26
195


11.92
170
12.76
171
13.6
172
14.44
226
15.28
161


11.94
148
12.78
172
13.62
192
14.46
201
15.3
192


11.96
173
12.8
172
13.64
204
14.48
206
15.32
205


11.98
135
12.82
185
13.66
203
14.5
255
15.34
177


12
158
12.84
210
13.68
188
14.52
232
15.36
186


12.02
164
12.86
181
13.7
196
14.54
237
15.38
201


12.04
158
12.88
177
13.72
194
14.56
263
15.4
211


12.06
169
12.9
177
13.74
208
14.58
286
15.42
198


12.08
172
12.92
155
13.76
190
14.6
311
15.44
199


12.1
166
12.94
226
13.78
207
14.62
277
15.46
188


12.12
171
12.96
191
13.8
211
14.64
297
15.48
197


12.14
149
12.98
183
13.82
247
14.66
310
15.5
188


12.16
178
13
197
13.84
231
14.68
264
15.52
207


12.18
130
13.02
189
13.86
237
14.7
277
15.54
184


12.2
179
13.04
192
13.88
235
14.72
266
15.56
190


12.22
158
13.06
170
13.9
264
14.74
256
15.58
166


15.6
176
16.44
169
17.28
207
18.12
561
18.96
185


15.62
243
16.46
187
17.3
184
18.14
458
18.98
240


15.64
214
16.48
207
17.32
193
18.16
387
19
195


15.66
237
16.5
192
17.34
194
18.18
329
19.02
179


15.68
217
16.52
167
17.36
187
18.2
289
19.04
181


15.7
215
16.54
199
17.38
204
18.22
262
19.06
196


15.72
220
16.56
200
17.4
183
18.24
259
19.08
234


15.74
229
16.58
175
17.42
206
18.26
212
19.1
234


15.76
231
16.6
172
17.44
176
18.28
234
19.12
231


15.78
265
16.62
173
17.46
181
18.3
210
19.14
273


15.8
260
16.64
184
17.48
191
18.32
198
19.16
295


15.82
262
16.66
186
17.5
208
18.34
219
19.18
282


15.84
261
16.68
179
17.52
164
18.36
183
19.2
312


15.86
380
16.7
207
17.54
213
18.38
180
19.22
353


15.88
327
16.72
180
17.56
204
18.4
187
19.24
305


15.9
357
16.74
201
17.58
193
18.42
213
19.26
307


15.92
338
16.76
193
17.6
185
18.44
196
19.28
290


15.94
349
16.78
186
17.62
199
18.46
191
19.3
302


15.96
334
16.8
167
17.64
200
18.48
192
19.32
261


15.98
311
16.82
176
17.66
219
18.5
181
19.34
242


16
291
16.84
178
17.68
217
18.52
194
19.36
238


16.02
293
16.86
184
17.7
241
18.54
197
19.38
211


16.04
253
16.88
194
17.72
238
18.56
210
19.4
233


16.06
217
16.9
160
17.74
247
18.58
192
19.42
216


16.08
238
16.92
165
17.76
237
18.6
186
19.44
203


16.1
225
16.94
212
17.78
276
18.62
210
19.46
201


16.12
200
16.96
190
17.8
293
18.64
206
19.48
185


16.14
216
16.98
182
17.82
292
18.66
212
19.5
213


16.16
189
17
181
17.84
323
18.68
175
19.52
186


16.18
204
17.02
171
17.86
340
18.7
180
19.54
204


16.2
199
17.04
182
17.88
409
18.72
181
19.56
209


16.22
214
17.06
198
17.9
459
18.74
194
19.58
215


16.24
211
17.08
182
17.92
505
18.76
203
19.6
229


16.26
209
17.1
171
17.94
606
18.78
196
19.62
233


16.28
156
17.12
167
17.96
653
18.8
196
19.64
259


16.3
181
17.14
172
17.98
737
18.82
182
19.66
220


16.32
186
17.16
164
18
730
18.84
197
19.68
215


16.34
200
17.18
165
18.02
788
18.86
188
19.7
226


16.36
208
17.2
209
18.04
758
18.88
181
19.72
215


16.38
200
17.22
172
18.06
765
18.9
160
19.74
222


16.4
191
17.24
165
18.08
703
18.92
198
19.76
200


16.42
192
17.26
185
18.1
630
18.94
204
19.78
195


19.8
181
20.64
209
21.48
172
22.32
189
23.16
174


19.82
216
20.66
176
21.5
177
22.34
200
23.18
202


19.84
192
20.68
176
21.52
221
22.36
214
23.2
163


19.86
158
20.7
198
21.54
163
22.38
190
23.22
199


19.88
182
20.72
174
21.56
197
22.4
236
23.24
192


19.9
170
20.74
217
21.58
177
22.42
204
23.26
170


19.92
208
20.76
182
21.6
180
22.44
226
23.28
172


19.94
203
20.78
204
21.62
179
22.46
214
23.3
191


19.96
182
20.8
225
21.64
179
22.48
210
23.32
179


19.98
171
20.82
229
21.66
204
22.5
184
23.34
178


20
198
20.84
253
21.68
190
22.52
188
23.36
178


20.02
187
20.86
251
21.7
168
22.54
223
23.38
181


20.04
195
20.88
244
21.72
171
22.56
200
23.4
204


20.06
185
20.9
227
21.74
168
22.58
212
23.42
189


20.08
172
20.92
260
21.76
174
22.6
211
23.44
191


20.1
187
20.94
237
21.78
144
22.62
220
23.46
188


20.12
165
20.96
261
21.8
184
22.64
237
23.48
212


20.14
174
20.98
213
21.82
178
22.66
242
23.5
193


20.16
186
21
201
21.84
192
22.68
257
23.52
206


20.18
195
21.02
221
21.86
162
22.7
240
23.54
212


20.2
171
21.04
184
21.88
182
22.72
240
23.56
227


20.22
164
21.06
196
21.9
177
22.74
281
23.58
218


20.24
173
21.08
174
21.92
170
22.76
325
23.6
231


20.26
201
21.1
185
21.94
172
22.78
315
23.62
248


20.28
164
21.12
203
21.96
165
22.8
294
23.64
226


20.3
177
21.14
185
21.98
174
22.82
309
23.66
296


20.32
161
21.16
187
22
172
22.84
335
23.68
284


20.34
174
21.18
178
22.02
195
22.86
294
23.7
299


20.36
199
21.2
173
22.04
160
22.88
322
23.72
331


20.38
156
21.22
181
22.06
196
22.9
287
23.74
348


20.4
203
21.24
192
22.08
199
22.92
293
23.76
374


20.42
177
21.26
199
22.1
201
22.94
246
23.78
357


20.44
182
21.28
160
22.12
165
22.96
245
23.8
376


20.46
177
21.3
187
22.14
187
22.98
218
23.82
342


20.48
167
21.32
172
22.16
193
23
232
23.84
329


20.5
176
21.34
164
22.18
202
23.02
213
23.86
297


20.52
168
21.36
200
22.2
188
23.04
185
23.88
306


20.54
183
21.38
193
22.22
211
23.06
202
23.9
272


20.56
192
21.4
186
22.24
193
23.08
208
23.92
249


20.58
207
21.42
178
22.26
195
23.1
203
23.94
231


20.6
184
21.44
178
22.28
187
23.12
180
23.96
216


20.62
213
21.46
188
22.3
211
23.14
195
23.98
197


24
201
24.84
473
25.68
190
26.52
163
27.36
176


24.02
206
24.86
492
25.7
167
26.54
181
27.38
165


24.04
205
24.88
473
25.72
175
26.56
167
27.4
183


24.06
214
24.9
453
25.74
179
26.58
157
27.42
171


24.08
199
24.92
478
25.76
181
26.6
185
27.44
184


24.1
202
24.94
436
25.78
161
26.62
193
27.46
179


24.12
200
24.96
382
25.8
182
26.64
173
27.48
153


24.14
181
24.98
357
25.82
170
26.66
189
27.5
157


24.16
177
25
332
25.84
182
26.68
219
27.52
170


24.18
160
25.02
277
25.86
171
26.7
176
27.54
178


24.2
199
25.04
236
25.88
155
26.72
175
27.56
160


24.22
178
25.06
213
25.9
158
26.74
205
27.58
185


24.24
194
25.08
234
25.92
162
26.76
179
27.6
156


24.26
173
25.1
208
25.94
156
26.78
177
27.62
171


24.28
178
25.12
184
25.96
172
26.8
189
27.64
152


24.3
194
25.14
180
25.98
172
26.82
191
27.66
172


24.32
180
25.16
193
26
173
26.84
172
27.68
169


24.34
186
25.18
197
26.02
165
26.86
166
27.7
157


24.36
174
25.2
202
26.04
155
26.88
166
27.72
151


24.38
185
25.22
173
26.06
148
26.9
183
27.74
175


24.4
176
25.24
204
26.08
155
26.92
160
27.76
150


24.42
193
25.26
178
26.1
157
26.94
179
27.78
166


24.44
204
25.28
163
26.12
154
26.96
165
27.8
192


24.46
192
25.3
197
26.14
154
26.98
157
27.82
159


24.48
199
25.32
188
26.16
193
27
166
27.84
191


24.5
203
25.34
187
26.18
182
27.02
182
27.86
172


24.52
188
25.36
175
26.2
182
27.04
164
27.88
171


24.54
213
25.38
168
26.22
184
27.06
198
27.9
183


24.56
206
25.4
167
26.24
155
27.08
153
27.92
181


24.58
240
25.42
188
26.26
176
27.1
182
27.94
213


24.6
222
25.44
182
26.28
176
27.12
196
27.96
213


24.62
236
25.46
192
26.3
177
27.14
198
27.98
183


24.64
257
25.48
178
26.32
170
27.16
179
28
216


24.66
261
25.5
174
26.34
173
27.18
162
28.02
227


24.68
234
25.52
180
26.36
175
27.2
173
28.04
223


24.7
297
25.54
173
26.38
174
27.22
180
28.06
249


24.72
313
25.56
194
26.4
162
27.24
216
28.08
236


24.74
368
25.58
195
26.42
171
27.26
191
28.1
256


24.76
418
25.6
158
26.44
185
27.28
206
28.12
245


24.78
398
25.62
153
26.46
173
27.3
220
28.14
279


24.8
457
25.64
157
26.48
178
27.32
175
28.16
286


24.82
472
25.66
160
26.5
180
27.34
196
28.18
313


28.2
327
29.04
342
29.88
166
30.72
140
31.56
135


28.22
356
29.06
363
29.9
165
30.74
136
31.58
148


28.24
354
29.08
338
29.92
203
30.76
154
31.6
120


28.26
314
29.1
313
29.94
159
30.78
136
31.62
153


28.28
309
29.12
318
29.96
152
30.8
121
31.64
137


28.3
319
29.14
289
29.98
181
30.82
138
31.66
132


28.32
269
29.16
256
30
163
30.84
129
31.68
142


28.34
305
29.18
290
30.02
164
30.86
148
31.7
141


28.36
246
29.2
250
30.04
166
30.88
132
31.72
137


28.38
254
29.22
232
30.06
153
30.9
138
31.74
123


28.4
239
29.24
190
30.08
149
30.92
164
31.76
127


28.42
240
29.26
218
30.1
164
30.94
121
31.78
136


28.44
214
29.28
198
30.12
138
30.96
152
31.8
121


28.46
210
29.3
201
30.14
132
30.98
146
31.82
141


28.48
173
29.32
206
30.16
145
31
118
31.84
138


28.5
186
29.34
198
30.18
157
31.02
126
31.86
129


28.52
179
29.36
151
30.2
137
31.04
131
31.88
127


28.54
170
29.38
161
30.22
161
31.06
145
31.9
148


28.56
166
29.4
171
30.24
132
31.08
142
31.92
148


28.58
165
29.42
170
30.26
130
31.1
138
31.94
123


28.6
147
29.44
172
30.28
141
31.12
161
31.96
135


28.62
182
29.46
149
30.3
149
31.14
138
31.98
139


28.64
173
29.48
159
30.32
147
31.16
144
32
148


28.66
174
29.5
161
30.34
146
31.18
132
32.02
140


28.68
154
29.52
157
30.36
129
31.2
164
32.04
136


28.7
163
29.54
136
30.38
164
31.22
143
32.06
138


28.72
186
29.56
149
30.4
196
31.24
129
32.08
127


28.74
157
29.58
165
30.42
149
31.26
115
32.1
140


28.76
132
29.6
147
30.44
154
31.28
128
32.12
117


28.78
196
29.62
143
30.46
141
31.3
136
32.14
119


28.8
185
29.64
158
30.48
163
31.32
153
32.16
136


28.82
171
29.66
170
30.5
150
31.34
137
32.18
150


28.84
195
29.68
150
30.52
150
31.36
139
32.2
154


28.86
201
29.7
140
30.54
135
31.38
143
32.22
141


28.88
201
29.72
175
30.56
143
31.4
131
32.24
136


28.9
232
29.74
144
30.58
166
31.42
133
32.26
105


28.92
260
29.76
157
30.6
164
31.44
144
32.28
142


28.94
266
29.78
166
30.62
164
31.46
117
32.3
143


28.96
279
29.8
184
30.64
143
31.48
136
32.32
146


28.98
325
29.82
139
30.66
157
31.5
127
32.34
133


29
325
29.84
167
30.68
150
31.52
143
32.36
114


29.02
331
29.86
182
30.7
143
31.54
114
32.38
143


32.4
156
33.24
173
34.08
127
34.92
120


32.42
123
33.26
179
34.1
142
34.94
120


32.44
149
33.28
179
34.12
111
34.96
104


32.46
136
33.3
169
34.14
130
34.98
102


32.48
152
33.32
170
34.16
154
35
114


32.5
160
33.34
168
34.18
119


32.52
165
33.36
157
34.2
125


32.54
125
33.38
165
34.22
133


32.56
132
33.4
150
34.24
125


32.58
152
33.42
146
34.26
122


32.6
155
33.44
152
34.28
140


32.62
126
33.46
133
34.3
108


32.64
140
33.48
129
34.32
93


32.66
130
33.5
141
34.34
97


32.68
151
33.52
122
34.36
111


32.7
144
33.54
124
34.38
129


32.72
172
33.56
139
34.4
141


32.74
142
33.58
117
34.42
103


32.76
157
33.6
125
34.44
127


32.78
162
33.62
117
34.46
115


32.8
165
33.64
109
34.48
134


32.82
147
33.66
134
34.5
109


32.84
134
33.68
136
34.52
113


32.86
157
33.7
102
34.54
101


32.88
139
33.72
131
34.56
120


32.9
140
33.74
135
34.58
120


32.92
142
33.76
131
34.6
104


32.94
140
33.78
125
34.62
134


32.96
143
33.8
118
34.64
121


32.98
129
33.82
130
34.66
115


33
139
33.84
111
34.68
117


33.02
130
33.86
132
34.7
133


33.04
161
33.88
114
34.72
116


33.06
142
33.9
112
34.74
109


33.08
151
33.92
127
34.76
114


33.1
162
33.94
124
34.78
130


33.12
163
33.96
122
34.8
138


33.14
125
33.98
119
34.82
120


33.16
160
34
109
34.84
114


33.18
166
34.02
117
34.86
121


33.2
175
34.04
134
34.88
133


33.22
197
34.06
123
34.9
124









2.3 Melting Point

The melting point of the compounds were determined and the melting points of the various compounds are listed at Table 3.









TABLE 3







Melting points of the compounds of the present invention










Compound number
Melting point







101
169-175° C.



102
170-176° C.



103
162-170° C.



104
165-178° C.



105
158-178° C.



106
172-182° C.










2.4 Infrared Spectroscopy (IR) Results

IR profile of epicatechin co-crystal was different from trigonelline and epicatechin parent as shown in FIG. 13.


Example 3. Pharmacokinetics (PK) Study of the Co-Crystals of the Present Invention in Male SD Rats

Pharmacokinetics study was carried out to evaluate the plasma exposure of (+) epicatechin (Compound 108) and (−) epicatechin (Compound 107) and their corresponding trigonelline (1:1) co-crystals. Co-crystals of the present invention were administered orally (PO) at a dose of 10 mpk equivalent of parent drugs in male SD rats. The PK results of the compound were compared with exposure of parent drugs. The dosing vehicle that was used in this study was CMC and Tween 80. After oral dosing, blood was collected by serial bleeding at different time points in heparinised tubes. Blood samples were centrifuged at 10,000 rpm for 5 min. at 4° C. to obtain the plasma, which were aspirated into separate labelled tubes and stored at −80° C. Extraction solvent was added to plasma, was vortexed and shaken on shaker for 10 minutes, centrifuged at 10,000 rpm for 10 minutes at 4° C. Supernatant was kept for analysis. Acetonitrile and plasma calibration curves were generated and percentage of drug recovery from plasma determined. Quantitative analysis was done by liquid chromatography tandem mass spectrometer (API3000 LC-MS/MS). Cmax, Tmax, AUC and t½ were calculated using Graph Pad PRISM version 5.04 and the results are depicted in Table 4.









TABLE 4







Pharmacokinetic paramaters of the co-


crystals of the present invention











Parameters
101
104
107
108














Cmax (nM)
434.9
454.9
386.3
333.0


Tmax (h)
1.1
0.80
0.30
1.0


AUC (nM · h)
756.6
745.6
678.0
579.1


T½ elimination (h)
0.45
0.68
1.89
0.83









Example 4. Pharmacokinetics (PK) Study of the Co-Crystals of the Present Invention in Male SD Rats

Pharmacokinetics study was carried out to evaluate the plasma exposure of (+) epicatechin (referred to herein as SPR590 or as Compound 108) and its corresponding trigonelline (1:1) co-crystals (referred to herein as SPR515 or as Compound 104). Co-crystals of the present invention were administered orally (PO) at a dose of 10 mpk in male SD rats for the control (+) epicatechin group and 10 mpk of SPR 515 which is equivalent to 6.25 mpk of epicatechin. The PK results of the compound were compared with exposure of parent drugs. The dosing vehicle that was used in this study was CMC and Tween 80. After oral dosing, blood was collected by serial bleeding at different time points in heparinised tubes. Blood samples were centrifuged at 10,000 rpm for 5 min. at 4° C. to obtain the plasma, which were aspirated into separate labelled tubes and stored at −80° C. Extraction solvent was added to plasma, was vortexed and shaken on shaker for 10 minutes, centrifuged at 10,000 rpm for 10 minutes at 4° C. Supernatant was kept for analysis. Acetonitrile and plasma calibration curves were generated and percentage of drug recovery from plasma determined. Quantitative analysis was done by liquid chromatography tandem mass spectrometer (API3000 LC-MS/MS). PK parameters were calculated using Graph Pad PRISM version 5.04 and the results are depicted in Table 5.









TABLE 5







Plasma levels of the co-crystals of the present invention









Time

Compound No. 108 ((+)


points (h)
Compound No. 104
epicatechin) (nM)












0.16
432.4
235.6


0.5
620.5
337.6


1
764.0
261.8


2
418.9
151.7


4
95.3
24.1


8
0.0
0.0
















TABLE 6







Cmax and AUC of the co-crystals of the present invention















MW Adjusted





Dose

(+)-epicatechin
Cmax
AUC


Compound
(mpk)
MW
Dose (mpk)
(nM)
(nM · h)















SPR590
10
290.3
10
386.0
678.0


(Compound 108)


SPR515
10
463.8
6.25
800.7
1821.2


(Compound 104)









From, Table 5 and Table 6, above, it can be clearly seen that the co-crystal of the present invention has better pharmacokinetic properties than the (+) epicatechin.


Example 6. Preparation of (−) Epicatechin_Trigonelline (1:1) Co-Crystals (Compound 101)

(−) Epicatechin (Compound 107, 1.0 eq.) was taken in isopropanol (20 vol) and warmed at 700° C. To this stirred suspension, trigonelline hydrochloride (1.1 eq) in water (2 vol) was added dropwise. The resulting clear solution was stirred for another 15 min, then cooled to room temperature and the solution kept at 18° C. for 24 h for crystallization. The resulting co-crystal was filtered, washed with cold 10% water in isopropanol (5 vol) and dried. The resulting co-crystal was again taken in ethanol:water (1:1, 5 vol) and stirred for 15 min. The mixture was filtered, washed with ethanol (2 vol) and dried to yield pure co-crystal (Compound 101). The DSC pattern is shown in FIG. 15.


Example 7. Preparation of (+) Epicatechin_Trigonelline (1:1) Co-Crystals (Compound 104)

(+) Epicatechin (Compound 108, 1.0 eq.) was taken in isopropanol (20 vol) and warmed at 700° C. To this stirred suspension, trigonelline hydrochloride (1.1 eq) in water (2 vol) was added dropwise. The resulting clear solution was stirred for another 15 min. then cooled to room temperature and the solution kept at 18° C. for 24 h for crystallization. The resulting co-crystal was filtered, washed with cold 10% water in isopropanol (5 vol) and dried. The resulting co-crystal was again taken in ethanol:water (1:1, 5 vol) and stirred for 15 min. The mixture was filtered, washed with Ethanol (2 vol) and dried to yield pure co-crystal (Compound 104). The DSC pattern is shown in FIG. 16, and the 1H NMR spectrum in DMSO is shown in FIG. 17.


Example 8. Preparation of (+) Epicatechin_(D)-Proline (1:1) Co-Crystals (Compound 109)

100 mg (+) epicatechin (Compound 108, 1.0 eq.) was taken in isopropanol (7 ml) and heated up at 70° C. for 15 min until a clear solution was obtained. This was followed by addition of 40 mg D-proline and stirring at 70° C. for 15 min. The turbid solution was brought to room temperature and kept for 2 h and then kept at 4° C. (refrigerator) for 16 h. A solid formed, which was filtered and then washed with pentane (5 ml) to yield solid Compound 109. Yield: 49%. The melting point was determined to be in the range of 198-202° C. The DSC pattern is shown in FIG. 18.


Example 9. Preparation of (−) Epicatechin_(L)-Proline (1:1) Co-Crystals (Compound 110)

100 mg (−) epicatechin (Compound 107, 1.0 eq.) was taken in isopropanol (7 ml) and heated up at 70° C. for 15 min until a clear solution was obtained. This was followed by addition of 40 mg L-proline and stirring at 70° C. for 15 min. The turbid solution was brought to room temperature and kept for 2 h and then kept at 4° C. (refrigerator) for 16 h. A solid formed, which was filtered and then washed with pentane (5 ml) to yield solid compound Compound 110. Yield: 46%. The melting point was determined to be in the range of 195-198° C. The DSC pattern is shown in FIG. 19.


Example 10. Pharmacokinetics Study of Compound 109 in Male SD Rats

A pharmacokinetics study was carried out to evaluate the plasma exposure of D-proline co-crystals of (+) epicatechin (Compound 109). Co-crystals were administered orally (PO) at a dose of 14 mpk of Compound 109, which is equivalent to 10 mpk of epicatechin. The dosing vehicle that was used in this study was 0.5% CMC. After oral dosing, blood was collected by serial bleeding at different time points in heparinised tubes. Blood samples were centrifuged at 10,000 rpm for 5 min. at 4° C. to obtain the plasma, which were aspirated into separate labelled tubes and stored at −80° C. Extraction solvent was added to plasma, was vortexed and shaken on a shaker for 10 minutes, and then centrifuged at 10,000 rpm for 10 minutes at 4° C. Supernatant was kept for analysis. Acetonitrile and plasma calibration curves were generated and percentage of drug recovery from plasma determined. Quantitative analysis was done by liquid chromatography tandem mass spectrometer (API3000 LC-MS/MS). PK parameters were calculated using Graph Pad PRISM version 5.04 and the results are depicted in Table 7.












TABLE 7







Parameter
Average



















Cmax (nM)
777.56



Tmax (h)
0.75



AUC (nM · h)
1905.33



T½ elimination (h)
1.71










All documents, including patents, patent application and publications cited herein, including all documents cited therein, tables, and drawings, are hereby expressly incorporated by reference in their entirety for all purposes.


While the foregoing written description of the compounds, uses, and methods described herein enables one of ordinary skill in the art to make and use the compounds, uses, and methods described herein, those of ordinary skill in the art will understand and appreciate the existence of variations, combinations, and equivalents of the specific embodiment, method, and examples herein. The compounds, uses, and methods provided herein should therefore not be limited by the above-described embodiments, methods, or examples, but rather encompasses all embodiments and methods within the scope and spirit of the compounds, uses, and methods provided herein.

Claims
  • 1. A co-crystal comprising epicatechin and a co-crystal former of Formula (I):
  • 2. The co-crystal of claim 1, wherein the epicatechin is (+) epicatechin.
  • 3. The co-crystal of claim 1, wherein the epicatechin is (−) epicatechin.
  • 4. The co-crystal of any one of claims 1-3, wherein the epicatechin and the co-crystal former of Formula (I) are present in a molar ratio ranging from about 1:3 to about 3:1.
  • 5. The co-crystal of claim 4, wherein the molar ratio is about 1:3, about 1:2, about 1:1, about 2:1 or about 3:1.
  • 6. The co-crystal of any one of claims 1-5, wherein n is 1, m is 2, and ring A is fully unsaturated.
  • 7. The co-crystal of any one of claims 1-5, wherein n is 0, m is 2, and ring A is saturated.
  • 8. The co-crystal of any one of claims 1-7, wherein R is hydrogen or methyl.
  • 9. The co-crystal of any one of claims 1-3, wherein the co-crystal former of Formula (I) is trigonelline.
  • 10. The co-crystal of claim 1, wherein the epicatechin is (−) epicatechin and the co-crystal-former of Formula (I) is trigonelline, wherein the molar ratio of (−) epicatechin:trigonelline is 1:1.
  • 11. The co-crystal of claim 10, wherein the co-crystal exhibits an X-ray diffraction pattern substantially as shown in FIG. 10.
  • 12. The co-crystal of claim 10, wherein the co-crystal is characterized by an X-ray diffraction pattern comprising one or more peaks with 20 values selected from the group consisting of about 17.6°, about 18.0°, about 19.0°, about 13.6°, at about 27.0°, about 16.4°, about 20.9°, about 22.5°, about 23.6°, about 25.0°, about 25.7°, and about 29.0°
  • 13. The co-crystal of claim 10, wherein the co-crystal is characterized by a melting point in a range of 169-175° C.
  • 14. The co-crystal of claim 10, wherein the co-crystal is characterized by an infrared pattern substantially as shown in FIG. 13.
  • 15. The co-crystal of claim 1, wherein the epicatechin is (+) epicatechin and the co-crystal-former of Formula (I) is trigonelline, wherein the molar ratio of (+) epicatechin:trigonelline is 1:1.
  • 16. The co-crystal of claim 15, wherein the co-crystal exhibits an X-ray diffraction pattern substantially as shown in FIG. 11.
  • 17. The co-crystal of claim 15, wherein the co-crystal is characterized by an X-ray diffraction pattern comprising one or more peaks with 2θ values selected from the group consisting of about 13.6°, about 19.0°, about 6.9°, about 16.4°, about 17.6°, about 18.0°, about 22.5°, and about 27.9.
  • 18. The co-crystal of claim 15, wherein the co-crystal is characterized by a melting point in a range of 165-178° C. ° C.
  • 19. The co-crystal of claim 8, wherein the epicatechin is (+) epicatechin and the co-crystal-former of Formula (I) is trigonelline, wherein the molar ratio of (+) epicatechin:trigonelline is 1:2.
  • 20. The co-crystal of claim 19, wherein the co-crystal exhibits an X-ray diffraction pattern substantially as shown in FIG. 12.
  • 21. The co-crystal of claim 19, wherein the co-crystal is characterized by an X-ray diffraction pattern comprising one or more peaks with 2θ values selected from the group consisting of about 13.6, about 19.0°, about 18.0°, about 11.2°, about 16.4°, about 17.7°, about 22.5°, and about 27.9°.
  • 22. The co-crystal of claim 19, wherein the co-crystal is characterized by a melting point in a range of 172-182° C.
  • 23. The co-crystal of any one of claims 1-3, wherein the co-crystal former of Formula (I) is s proline or a stereoisomer thereof.
  • 24. The co-crystal of claim 1, wherein the epicatechin is (+) epicatechin and the co-crystal-former of Formula (I) is D-proline.
  • 25. The co-crystal of claim 24, wherein the co-crystal is characterized by a melting point in a range of 198-202° C.
  • 26. The co-crystal of claim 1, wherein the epicatechin is (+) epicatechin and the co-crystal-former of Formula (I) is L-proline.
  • 27. The co-crystal of claim 26, wherein the co-crystal is characterized by a melting point in a range of 195-198° C.
  • 28. A pharmaceutical composition comprising a co-crystal of any one of claims 1-27, and a pharmaceutically acceptable excipient.
  • 29. A method of treating a disease or disorder that would benefit from modification of Electron Transport Chain, optionally complex IV, in a subject in need thereof, comprising administering to the subject a therapeutically effective amount of a co-crystal of any one of claims 1-27 or a pharmaceutical composition of claim 28.
  • 30. The method of claim 29, wherein a disease or disorder is selected from the group consisting of impaired cognition, neurodegenerative diseases such as Alzheimer's or Leigh syndrome, dystonia, sarcopenia, cardiomyopathy of aging or other diseases associated with mitochondrial dysfunction, ischemic vascular disease, immunodeficiency states, ataxia, pulmonary inflammation and fibrosis, infantile encephalomyopathy, epilepsy, Charcot-Marie-Tooth disease, exocrine pancreatic insufficiency, impaired wound healing, and growth of cancer cells.
  • 31. A method of lowering triglyceride levels in a subject in need thereof, comprising administering to the subject a therapeutically effective amount of a co-crystal of any one of claims 1-27 or a pharmaceutical composition of claim 28.
  • 32. A method of treating a disease or disorder selected from the group consisting of a metabolic syndrome, Type II diabetes, a congenital hyperlipidemia, and drug-induced hyperlipidemia in a subject in need thereof, comprising administering to the subject a therapeutically effective amount of a co-crystal of any one of claims 1-27 or a pharmaceutical composition of claim 28.
  • 33. A method of treating a condition related to mitochondrial dysfunction in a subject in need thereof, comprising administering to the subject a therapeutically effective amount of a co-crystal of any one of claims 1-27 or a pharmaceutical composition of claim 28.
  • 34. A method for enhancing sports performance, endurance, building muscle shape or strength, or facilitating recovery from the effects of training or competition, in a subject in need thereof, comprising administering to the subject a therapeutically effective amount of a co-crystal of any one of claims 1-27 or a pharmaceutical composition of claim 28.
  • 35. A method for treating or preventing dystrophinopathy, sarcoglycanopathy, or dysferlinopathy in a subject in need thereof, comprising administering to the subject a therapeutically effective amount of a co-crystal of any one of claims 1-27 or a pharmaceutical composition of claim 28.
  • 36. A process for preparing a co-crystal of any one of claims 1-27, comprising the following steps: (i) dissolving epicatechin and a co-crystal former of Formula (I) in a solvent to obtain a solution;(ii) heating the solution obtained from step (i);(iii) resting the heated solution of step (ii); and(iv) collecting the co-crystal.
  • 37. A co-crystal of any one of claims 1-27 for use as therapeutically active substance.
  • 38. A co-crystal of any one of claims 1-27 or a pharmaceutical composition of claim 28 for use in treating a disease or disorder that would benefit from modification of Electron Transport Chain, for use in treating a condition related to mitochondrial dysfunction, or for use in treating or preventing dystrophinopathy, sarcoglycanopathy or dysferlinopathy.
  • 39. Use of a co-crystal of any one of claims 1-27 or a pharmaceutical composition of claim 28 for the preparation of a medicament for the treatment of a disease, disorder or condition.
CROSS REFERENCE TO RELATED APPLICATION

This application claims priority to U.S. Provisional Application Ser. No. 62/750,182, filed Oct. 24, 2018, which is hereby incorporated by reference in its entirety.

PCT Information
Filing Document Filing Date Country Kind
PCT/US2019/057930 10/24/2019 WO 00
Provisional Applications (1)
Number Date Country
62750182 Oct 2018 US