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Article

Multicomponent Materials to Improve Solubility: Eutectics of Drug Aminoglutethimide

by
Basanta Saikia
*,
Andreas Seidel-Morgenstern
and
Heike Lorenz
Max Planck Institute for Dynamics of Complex Technical Systems, 39106 Magdeburg, Germany
*
Author to whom correspondence should be addressed.
Crystals 2022, 12(1), 40; https://doi.org/10.3390/cryst12010040
Submission received: 29 November 2021 / Revised: 22 December 2021 / Accepted: 24 December 2021 / Published: 28 December 2021
(This article belongs to the Special Issue Multicomponent Pharmaceutical Solids)

Abstract

:
Here, we report the synthesis and experimental characterization of three drug-drug eutectic mixtures of drug aminoglutethimide (AMG) with caffeine (CAF), nicotinamide (NIC) and ethenzamide (ZMD). The eutectic mixtures i.e., AMG-CAF (1:0.4, molar ratio), AMG-NIC (1:1.9, molar ratio) and AMG-ZMD (1:1.4, molar ratio) demonstrate significant melting point depressions ranging from 99.2 to 127.2 °C compared to the melting point of the drug AMG (151 °C) and also show moderately higher aqueous solubilities than that of the AMG. The results presented include the determination of the binary melt phase diagrams and accompanying analytical characterization via X-ray powder diffraction, FT-IR spectroscopy and scanning electron microscopy.

1. Introduction

The multicomponent solid form of the drug is rapidly emerging as an effective way to improve the drug physiochemical properties such as solubility, dissolution rate, bioavailability and other crucial pharmaceutical properties like stability, hygroscopicity, chemical stability, flowability, etc. [1,2,3,4,5,6,7]. Eutectic mixtures are multicomponent compounds made up of two or more crystalline solids that show immiscibility in the solid-state and do not combine to generate a new chemical compound but, at a certain ratio, the eutectic composition will exhibit a melting or solidification point significantly lower than its constituents [1,4,8]. The formation of eutectic mixtures can occur via different noncovalent interactions primarily hydrogen bonding, van der Waals forces, and aromatic interactions etc. [9,10]. It is a trial and error approach to get a eutectic composition for enhancing the solubility and bioavailability of medicines with limited water solubility in BCS classes II and IV [1,4]. Eutectic mixtures are frequently used for the design of medicines and delivery methods for administration routes [1,11]. For example, the eutectic mixture of lidocaine and prilocaine cream is a novel formulation of dermal anesthesia which is effective and safe for the treatment option in premature ejaculation patients of various types [11]. Eutectic mixtures generally exhibit high thermodynamic parameters, for example, free energy, enthalpy and entropy etc., which alter the solubility and dissolution behavior [1]. Besides, a higher soluble eutectic mixture component, called coformer in the following, also can favorably influence the wettability of the drug, thus improving the bioavailability [12,13]. When taken orally, curcumin, for example, has low bioavailability and solubility. However, the eutectic mixture of curcumin and nicotinamide in a 1:2 ratio exhibits a 10-fold faster intrinsic dissolution rate [14]. Another aspect is that it is critical to identifying the production of eutectics during the formulation stage to minimize manufacturing difficulties [15,16]. During pharmaceutical research, understanding eutectic mixtures can aid in the discovery of compounds with equivalent melting points.
In this work, we studied the chiral drug aminoglutethimide [3-(4-aminophenyl)-3-ethyl-2, 6-piperidinedione] (AMG), a nonsteroidal aromatase inhibitor drug, used for the treatment of Cushing’s syndrome, breast cancer, and prostate cancer [17,18,19]. According to the Biopharmaceutics Classification System (BCS), AMG is classified as a BCS class II drug because of its poor solubility [20]. Attempts were made in this work to create multidrug eutectics of AMG considering caffeine (CAF, a psychoactive drug [21]), nicotinamide (NIC, a vitamin [22]) and ethenzamide (ZMD, nonsteroidal anti-inflammatory drug [23]) as coformers to improve the aqueous solubility of AMG. Scheme 1 shows the chemical structures of AMG and the three coformers. For the synthesis of eutectics, mainly a mechanochemical solvent-assisted grinding (LAG) method has been used. Differential scanning calorimetry (DSC) data is utilized to establish the precise eutectic composition. X-ray powder diffraction (PXRD), Fourier-transform infrared spectroscopy (FT-IR) and scanning electron microscopy (SEM) were applied to characterize the eutectic mixtures and their components. Further, the aqueous solubility of the eutectics was determined and found to moderately exceed that of the parent compound AMG.

2. Materials and Methods

2.1. Materials

Aminoglutethimide (purity: >98.0%) was purchased from TCI, Japan. Caffeine (purity: >98%), nicotinamide (purity: >98%) and ethenzamide (purity: >97%) were purchased from Sigma Aldrich (Darmstadt, Germany). Millipore water from the Milli-Q system (Merck Millipore, Milli-Q Advantage, Darmstadt, Germany) was used for solubility determination and HPLC-grade solvents for the mechanochemical experiments.

2.2. Aminoglutethimide Eutectic Mixture Screening and Eutectic Composition Determination

Multiple mixtures of AMG and the chosen coformer in different weight percentages, e.g., 50%, 55%, 60%, 65%, 70%, 75%, and 80%, were prepared. The needed amount of each component was added to a mortar to obtain 100 mg of the desired binary combination and grinded using mortar and pestle with a dropwise addition of acetonitrile for 30 min.
The melting behavior of the resulting solids and the eutectic formation was determined by means of a DSC linear heating run. Eutectic and pure compounds melting temperatures were considered from the corresponding peak onsets, and liquidus temperatures for mixtures were taken from the peak maximum. Therewith, the binary phase diagrams and corresponding Tammann plots were constructed to specify the eutectic composition of the respective drug-drug system. For the Tammann plot, the enthalpy of fusion of the eutectic melting effects in the DSC curves of the mixtures are used.
The melting of the eutectic mixture is characterized by a single melt peak in the DSC curve for the corresponding drug-drug, that is an eutectic composition. This is because the eutectic is an invariant point in the binary system in analogy to the melting point of a pure compound in a unary system.

2.3. Preparation of Bulk Mixtures at the Eutectic Composition

For liquid-assisted grinding, the components of each system were mixed and homogenized for 30 min in a glass mortar and pestle with acetonitrile as the solvent. The AMG-CAF, AMG-NIC and AMG-ZMD systems were produced in their respective eutectic compositions to perform solid-state characterization and solubility tests. In a nutshell, exact weights of AMG-CAF (75 wt.% of AMG), AMG-NIC (50 wt.% of AMG), and AMG-ZMD (50 wt.% of AMG) systems were considered for the solubility evaluation.

2.4. Analytical Techniques

Powder X-ray Diffraction (PXRD). The solid-state properties of the system were investigated by powder X-ray diffraction (PXRD) analysis with an X’pert Pro Diffractometer (PANalytical GmbH, Kassel, Germany) with Cu Kα radiation and an X’Celerator detector in the 2-theta range of 3–40° with a step size of 0.017° and a step time of 50 s.
Differential Scanning Calorimetry. Thermal analysis was carried out using a DSC 131 (Setaram, Diepholz, Germany), which was regularly calibrated using highly-pure standard materials. The DSC measurements were carried out in aluminum crucibles with a constant heating rate of 2 K/min, under a pure helium atmosphere at 8 mL/min.
Fourier Transform Infrared Spectroscopy (FT-IR). A Bruker ALPHA II FT-IR (Bruker, Karlsruhe, Germany) with a diamond attenuated total reflectance (ATR) accessory was used to gather Fourier transform infrared spectra. The solid materials were placed in the ATR cell without further preparation and investigated in the 4000–400 cm−1 range, collecting 32 scans at a resolution of 2 cm−1.
Scanning Electron Microscopy. Scanning electron microscopy (SEM) was carried out by using a Carl Zeiss Microscopy Ltd. (Jena, Germany) instrument at an acceleration voltage of 10 keV.
Hot Stage Microscopy. Hot Stage Microscopy was carried out using a Linkam hot stage LTS420 (Linkam Scientific Instruments Ltd., Waterfield, UK) with an Axioskop 2 microscope (Carl Zeiss, Oberkochen, Germany). Images were recorded and analyzed using Axiovision 2 software.

2.5. Solubility Determination

The gravimetric method was used to determine the solubility of AMG and its binary eutectic mixtures in water at room temperature (25 °C). An excess amount of solid eutectic mixture was added to 4 mL water, and the suspension was stirred at 300 rpm at 25 ± 1 °C for 72 h to reach equilibrium. Then it was allowed to settle before liquid phase sampling. The saturated solutions of respective eutectic mixtures were filtered using a 0.45 µm syringe filter and transported in a 5 mL vial. The weight of the full vial with the solution was recorded immediately. The vials were kept in a fume hood for evaporation of the water. Solids were obtained after ~3–4 days. They are further placed in a desiccator for 1 day. All measurements were carried out in duplicate. The solubility of pure AMG (mg/mL) in water was calculated from the product of the mass of the dried material (solubility of eutectic mixture) and the respective AMG content in the dried eutectic mixture (in weight fraction).

3. Results and Discussion

In literature, it was pointed out [1,10] that organic eutectic formation happens when the molecular interaction among identical molecules is comparably stronger than the interaction between different molecules. Till now, there are no exact rules to design eutectics based on the cohesive interactions dominant over the adhesive interaction to produce a eutectic [4,10]. Generally, a cocrystal is expected to be obtained when the possibility of formation of very strong adhesive interactions is high. However, when the cohesive interactions are strong but auxiliary interactions are weak to nil, as long as molecular mismatched shapes are there, then the formation of a eutectic mixture is expected [10]. In the case of AMG, the interactions like imideimide and N−HO hydrogen bond interactions are relatively stronger (Figure 1). However, in the case of multicomponent systems with the coformers CAF, NIC and ZMD, the adhesive interactions are relatively weaker as they are non-isomorphous molecules with a considerable mismatch in size and shape. Moreover, the structural arrangement will have lack a unique lattice arrangement distinct from the individual components and thus retains the cohesive interactions in its eutectic mixtures. Therefore, the X-ray diffraction pattern and spectroscopic signature peaks of a eutectic mixture does not contain new crystalline arrangement, rather contains the overlapping of diffraction peaks of the individual components.
The Cambridge Structural Database (CSD) search for imide and carboxylic acid interaction only reveals two reported crystal structures with refcodes HUVGAI and UGOHUV, demonstrating the weaker probability of cocrystal formation via the imidecarboxylic acid heterosynthon. Similarly, no imide and only one monosubstituted pyridine interaction have been observed from CSD search for the multicomponent crystalline systems of imide functional molecules. There is also no reported structure with imidecarboxamide interaction. Furthermore, cocrystal screening by considering the molecular complimentary screening wizard of CSD [24] also reveals no-hit for cocrystals for the selected coformers.
Powder X-ray Diffraction (PXRD) Analysis
X-ray diffraction patterns can be used as one of the confirmatory tools for the detection of the formation of a eutectic system. Figure 2 displays the comparison between the PXRD patterns obtained for starting components and their respective eutectic systems.
In a eutectic system, the retention of the crystal structure of individual components is expected, consequently, the PXRD pattern of the eutectic system should contain the overlap of diffraction peaks of starting components without the generation of new diffraction peaks. As seen in the comparison of the diffraction patterns of the eutectic mixtures and the pure starting components, no new peaks were observed and all the diffraction peaks of the starting components are present in the grinded mixtures, signifying the formation of eutectic mixtures in all three studied cases.
Differential Scanning Calorimetry (DSC) Analysis
DSC is one essential technique to characterize the solid phase behavior of a material and mixtures. It is crucial to detect the eutectic nature of a multicomponent system as typically the melting point of the eutectic mixture is lower than either of the parent components and the eutectic melting can be identified via the melting events occurring. The DSC patterns of the various AMG-coformer mixtures overlayed with those of the pure components are shown in Figure 3, specifically for the AMG-CAF system in Figure 3a, the AMG-NIC system in Figure 3b and the AMG-ZMD system in Figure 3c.
The thermogram of AMG exhibits only one endothermic melting peak, suggesting no polymorphic transition during the heating cycle. The eutectic melting peak for the AMG-NIC system (Figure 3b) is found at 99.2 °C, being, as expected, significantly lower than for both the starting materials. A close-to single eutectic peak is observed for the ~50% mixture, indicating the presence of the “purely” eutectic phase and thus, the eutectic composition in the AMG-NIC system. In the case of the AMG-CAF system at different weight% ratios, except at the eutectic composition, DSC curves exhibited three endothermic transition effects (see Figure 3a). The first endothermic peak signifies the eutectic temperature, whereas another endotherm signifies the melting of excess AMG or CAF, respectively. The supplementary peak observed at 137.7 °C corresponds to the enantiotropic phase transition of caffeine polymorphic form II to form I [25,26]. The eutectic composition is found to be close to 75 wt.% AMG composition. For the AMG-ZMD system, the melting endothermic peak at 101.8 °C refers to the eutectic melting (see Figure 3c), while the eutectic composition is found close to the AMG-ZMD composition of ~50 wt.%. Table 1 contains the measured temperatures and enthalpies of melting for the pure AMG, the coformers used and their eutectic mixtures. Hot stage microscopic analysis results of the eutectic mixtures which are presented in Figure S1 (Supporting Information), also support the eutectic nature of the AMG mixtures exhibiting a uniform melting in a narrow temperature range.
Infrared Spectroscopy
IR spectroscopy was used to understand the probable intermolecular interactions present in the eutectic system. The observed IR spectra of AMG, the coformers and the respective eutectic systems are presented in Figure 4. As seen, the IR spectra of the eutectic systems are comparable with their starting components. No new peak was observed in the three eutectic systems and the spectra simply overlap with the spectra of the individual components. All the characteristic vibrational bands of AMG and the coformers are observed in the spectrum of the eutectic composition. For the AMG spectrum, the N−H starching peak is observed at 3470 cm−1, and the C=O stretch vibration is observed at 1713 cm−1. The slight shifting of C=O peaks in the mixture’s absorption bands around 1713−15 cm−1 might be caused by the long-range interaction between the carbonyl groups and other functionality in the molecules in the eutectic mixture.
Scanning Electron Microscopy (SEM) Analysis
The micrographs obtained from SEM are shown in Figure 5. Even all samples were grinded in a similar way; SEM images contrast the morphological characteristics of the coformers and partly of the AMG, showing some residual crystals left. However, in the eutectic systems i.e., AMG-CAF, AMG-ZMD and AMG-NIC, a noteworthy reduction in particle size is observed with the appearance of strongly agglomerating homogeneous fines as compared to the parent components.
Phase Diagrams and Related Tammann Plots
From the integration of the eutectic melting effects at different mixture compositions, the related eutectic melting enthalpy ΔHeut can be obtained. At the eutectic composition, the melting enthalpy is maximum and gradually decreases with composition towards the pure components. Therefore, plotting the ΔHeut values as a function of the composition (Tammann plot), the intersection of the two linearized parts provides a good measure of the eutectic composition in the respective binary system.
AMG-CAF system. The presence of the single melting endotherm at 127.2 °C (see Figure 3a), lower than that of both the starting components AMG and CAF, indicated the formation of the eutectic composition in the AMG-CAF system at 75 wt.% of AMG. The phase diagram and the Tammann plot for this system are presented in Figure 6a,b. In the phase diagram, the liquidus and solidus temperatures are plotted as a function of weight% (wt.%) of AMG in the CAF-AMG system. It shows the enantiotropic behavior of caffeine and specifies the polymorphic phase transition at ~138°C confirming the literature data [25,26]. Additionally, this indicates the eutectic composition at ~75 wt.%, which is verified in the Tammann plot (Figure 6b). In addition, the latter indicates a partial solid solution behavior of CAF in AMG in a rather narrow composition range of ~95 ± 2 wt.% of AMG (indicated by the dashed line in Figure 6b). However, since this is based on only two points, it needs to be verified what is hardly to be done in the small existence region of AMG in the phase diagram.
AMG-NIC system. The DSC profiles in Figure 3b illustrate the melting behavior of solid samples at different AMG-NIC compositions prepared by neat grinding. The system shows simple eutectic behavior; thus, mixtures of both components exhibit two endothermic peaks in DSC curves corresponding to eutectic melting and the subsequent dissolution effect of the excess compound. Figure 7a presents the derived melt phase diagram with a eutectic composition of ~50 wt.% AMG. The eutectic temperature in this system was found on average at 99.2 °C (Table 1). The Tammann plot shown in Figure 7b confirms the ~50 wt.% eutectic composition.
AMG-ZMD system. As for the AMG-NIC system, the melt phase diagram of the AMG-ZMD system is characterized by a simple eutectic, possessing a eutectic point at 101.8 °C and composition of ~50 wt.% of AMG. The eutectic composition was derived from the single endothermic event in the DSC thermogram and from the intersection of the ZMD and AMG liquidus curves. Tammann’s plot (Figure 8b) for the AMG-ZMD system verifies the eutectic composition close to 50 wt.% AMG and indicates partial miscibility at the solid-state close to the ZMD side (indicated by the dashed line in Figure 8b), but similar to the AMG-CAF system, this needs more detailed studies if important.
Aqueous Solubility of the Eutectics
To measure the solubility, each experiment was performed in a jacketed, circulating flask maintained at 25 °C and in two sets to ensure consistency. Interestingly, the eutectics show significantly improved solubility over the parent drug AMG with a solubility of 1.9 ± 0.01 mg/mL at 25 °C (See Figure 9). The AMG-CAF, AMG-NIC and AMG-ZMD eutectics exhibit nearly 2.5-fold, 1.5 fold and 1.3 times higher solubility than AMG.
Different thermodynamic parameters like melting temperature depression and the heat of fusion (ΔHf) can affect the overall solubility [27,28]. Considerable decrease in the ΔHf (see Table 1) is observed for the AMG-CAF system and expectedly it is showing higher solubility than the AMG. However, higher ΔHf has been observed for the eutectics AMG-ZMD and AMG-NIC, and as a result, the solubility difference is not significant. Particularly, despite having higher soluble coformer NIC, the eutectic AMG-NIC exhibited less solubility compared to AMG-CAF. The experimental solubility results are supported by the ideal solubility data for the eutectic mixtures calculated by using the van’t Hoff equation (Figure S2, Supporting Information), showing similar trends for the solubilities. Moreover, the precipitates obtained from the solubility experiment were further evaluated by PXRD measurements, which are presented in Figure S3 (Supporting Information). The PXRD patterns observed from the eutectics before and after solubility evaluations contain the characteristic peaks for the starting materials and, in addition are similar. Thus, they confirmed no new phase or cocrystal formation during solubility experiments.

4. Conclusions

Solvent-assisted mechanochemical grinding of the drug aminoglutethimide with pharmaceutical coformers enabled the production of binary eutectic mixtures. Considerable lowering of the melting points in the eutectic mixtures was determined from DSC analysis. Analogously, the aqueous solubility of the binary eutectic mixtures was improved compared to the pure AMG. Solubilities at 25 °C were found to be 1.3–2.5 times higher than for the AMG. The final aim of the work was to improve the AMG solubility through physical form alteration, and this objective was achieved by the formation of binary eutectic mixtures with caffeine, nicotinamide and ethenzamide as drug-drug eutectics, with the most significant improvement for the AMG-CAF system.

Supplementary Materials

The following supporting information can be downloaded at: https://www.mdpi.com/article/10.3390/cryst12010040/s1, Figure S1: Comparison of Hot Stage Microscopic images for the eutectic mixtures at room temperature, melting and subsequent cooling. Figure S2: Van’t Hoff plot of ideal solubility values for the eutectics., Figure S3: PXRD of the AMG eutectics after solubility determinations.

Author Contributions

Conceptualization, B.S. and H.L.; methodology, B.S.; formal analysis, B.S.; investigation, B.S.; writing—original draft preparation, B.S.; writing—review and editing, B.S. and H.L.; supervision H.L. and A.S.-M. All authors have read and agreed to the published version of the manuscript.

Funding

This research received no external funding.

Institutional Review Board Statement

Not applicable.

Informed Consent Statement

Not applicable.

Data Availability Statement

The data presented in this study are available in manuscript and Supplementary Materials.

Acknowledgments

We thank Stefanie Oberländer and Jacqueline Kaufmann for their help in PXRD and DSC measurements. Markus Ikert is acknowledged for his help in the collection of SEM images.

Conflicts of Interest

The authors declare no conflict of interest.

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Scheme 1. Molecular structure of Aminoglutethimide and the coformers selected for the study.
Scheme 1. Molecular structure of Aminoglutethimide and the coformers selected for the study.
Crystals 12 00040 sch001
Figure 1. Examples of some probable supramolecular synthons that may be present in AMG-eutectic systems.
Figure 1. Examples of some probable supramolecular synthons that may be present in AMG-eutectic systems.
Crystals 12 00040 g001
Figure 2. Overlay of PXRD patterns of (a) AMG, CAF and the eutectic mixture of the AMG-CAF system, (b) AMG, NIC and the eutectic mixture of the AMG-NIC system and (c) AMG, ZMD and the eutectic mixture of the AMG-AMD system. Main characteristic peaks are indicated by dashes lines.
Figure 2. Overlay of PXRD patterns of (a) AMG, CAF and the eutectic mixture of the AMG-CAF system, (b) AMG, NIC and the eutectic mixture of the AMG-NIC system and (c) AMG, ZMD and the eutectic mixture of the AMG-AMD system. Main characteristic peaks are indicated by dashes lines.
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Figure 3. DSC patterns of the different AMG-coformer compositions showing the melting point depressions and the eutectic peak, (a) AMG and CAF, (b) AMG and NIC, and (c) AMG and ZMD.
Figure 3. DSC patterns of the different AMG-coformer compositions showing the melting point depressions and the eutectic peak, (a) AMG and CAF, (b) AMG and NIC, and (c) AMG and ZMD.
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Figure 4. Comparison of FT-IR spectra of starting materials AMG and coformer with their respective eutectic composition for (a) AMG and CAF, (b) AMG and NIC, and (c) AMG and ZMD.
Figure 4. Comparison of FT-IR spectra of starting materials AMG and coformer with their respective eutectic composition for (a) AMG and CAF, (b) AMG and NIC, and (c) AMG and ZMD.
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Figure 5. Comparison of micrographs of pure AMG and conformers after LAG treatment with their respective eutectic mixtures at 1.0 Kx magnification.
Figure 5. Comparison of micrographs of pure AMG and conformers after LAG treatment with their respective eutectic mixtures at 1.0 Kx magnification.
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Figure 6. (a) Binary melt phase diagram and (b) Tammann plot of the AMG-CAF system.
Figure 6. (a) Binary melt phase diagram and (b) Tammann plot of the AMG-CAF system.
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Figure 7. (a) Binary melt phase diagram and (b) Tammann plot of the AMG-NIC system.
Figure 7. (a) Binary melt phase diagram and (b) Tammann plot of the AMG-NIC system.
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Figure 8. (a) Binary melt phase diagram and (b) Tammann plot of the AMG-ZMD system.
Figure 8. (a) Binary melt phase diagram and (b) Tammann plot of the AMG-ZMD system.
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Figure 9. Comparison of solubilities of AMG and its eutectic mixtures in water at 25 °C.
Figure 9. Comparison of solubilities of AMG and its eutectic mixtures in water at 25 °C.
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Table 1. Melting point (M.P) and melting enthalpy (M.E) of drug AMG, the coformers and their eutectic compositions.
Table 1. Melting point (M.P) and melting enthalpy (M.E) of drug AMG, the coformers and their eutectic compositions.
DrugCoformerM.P
(°C)
M.E
(J/g)
EutecticM.P
(°C)
M.E
(J/g)
AMGCAF235.9128.51AMG-CAF127.274.21
M.P = 151.0 (°C)NIC128.68186.81AMG-NIC99.2125.55
M.E = 110.23 J/gZMD129.4174.7AMG-ZMD101.8124.15
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Saikia, B.; Seidel-Morgenstern, A.; Lorenz, H. Multicomponent Materials to Improve Solubility: Eutectics of Drug Aminoglutethimide. Crystals 2022, 12, 40. https://doi.org/10.3390/cryst12010040

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Saikia B, Seidel-Morgenstern A, Lorenz H. Multicomponent Materials to Improve Solubility: Eutectics of Drug Aminoglutethimide. Crystals. 2022; 12(1):40. https://doi.org/10.3390/cryst12010040

Chicago/Turabian Style

Saikia, Basanta, Andreas Seidel-Morgenstern, and Heike Lorenz. 2022. "Multicomponent Materials to Improve Solubility: Eutectics of Drug Aminoglutethimide" Crystals 12, no. 1: 40. https://doi.org/10.3390/cryst12010040

APA Style

Saikia, B., Seidel-Morgenstern, A., & Lorenz, H. (2022). Multicomponent Materials to Improve Solubility: Eutectics of Drug Aminoglutethimide. Crystals, 12(1), 40. https://doi.org/10.3390/cryst12010040

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