Time-Dependence of Molecular Mobility during Structural Relaxation and its Impact on Organic Amorphous Solids: An Investigation Based on a Calorimetric Approach

Purpose To develop a calorimetry-based model for estimating the time-dependence of molecular mobility during the isothermal relaxation of amorphous organic compounds below their glass transition temperature (T _g).Methods The time-dependent enthalpy relaxation times of amorphous sorbitol, indomethacin, trehalose and sucrose were estimated based on the nonlinear Adam‐Gibbs equation. Fragility was determined from the scanning rate dependence of T _g. Time evolution of the fictive temperature was determined from T _g, the heat capacity of the amorphous and crystalline forms, and from the enthalpy relaxation data.Results Relaxation time changes significantly upon annealing for all compounds studied. The magnitude of the increase in relaxation time does not depend on any one parameter but on four parameters: T _g, fragility, and the crystal–liquid and glass–liquid heat capacity differences. The obtained mobility data for indomethacin and sucrose, both stored at T _g−16 K, correlated much better with their different crystallization tendencies than did the Kohlrausch‐Williams‐Watts (KWW) equation.Conclusions The observed changes in relaxation time help explain and address the limitations of the KWW approach. Due consideration of the time-dependence of molecular mobility upon storage is a key element for improving the understanding necessary for stabilizing amorphous formulations.     

Predictions of Onset of Crystallization from Experimental Relaxation Times I-Correlation of Molecular Mobility from Temperatures Above the Glass Transition to Temperatures Below the Glass Transition

Purpose Predicting onsets of crystallization at temperatures below T _g, from data above T _g, would require that the correlation between crystallization onset and mobility is same above and below T _g, and the techniques being used to measure mobility above and below T _g are measuring essentially the same kind of mobility. The aim of this work is to determine if the relaxation times obtained using different techniques (DSC, TAM) below T _g correlate with relaxation time obtained above T _g using dielectric spectroscopy.Methods Model compounds for this work were chosen based on their varied ΔH _f, ΔC _p(T _g) and H-bonding in crystalline state vs. amorphous state. Relaxation times above T _g were determined by the simultaneous fit of real and imaginary permittivity to the Cole-Davidson model. Tau and beta below T _g were determined using isothermal microcalorimetry (TAM) or MDSC. MDSC was used to calculate Kauzmann temperature and strength of the glass using established relationships.Results Indomethacin, nifedipine and flopropione showed Arrhenius temperature dependence throughout the entire temperature range and extrapolation of τ ^β measured above T _g by dielectric relaxation agreed with τ ^β measured below T _g by TAM/MDSC. Ketoconazole, however, showed the expected VTF behavior. For at least two compounds compared (indomethacin and ketoconazole), relaxation times measured by TAM and MDSC did not agree, with TAM giving significantly lower values of τ ^β , but TAM and MDSC relaxation times appeared to extrapolate to a common value at T _g.Conclusions It was found that, for all cases studied, relaxation time constants determined above and below T _g did appear to extrapolate to the same value around T _g indicating that molecular mobility measured above and below T _g using different techniques is highly correlated.     

A Calorimetric Method to Estimate Molecular Mobility of Amorphous Solids at Relatively Low Temperatures

Purpose To present a calorimetry-based approach for estimating the initial (at the onset of annealing) relaxation time (τ ⁰) of organic amorphous solids at relatively low temperatures, and to assess the temperature where molecular mobility of the amorphous drug is reduced to a level comparable with the desired shelf-life of the product.Materials and Methods Values of τ ⁰ for six amorphous pharmaceutical compounds were estimated based on the nonlinear Adam–Gibbs equation. Fragility was determined from the scanning rate-dependence of the glass transition temperature (T _g). The initial enthalpic and entropic fictive temperatures were obtained from the T _g and the heat capacities (C _p) of the amorphous and crystalline forms.Results At a relatively low temperature (∼40°C or more below T _g), τ ⁰ for the different compounds varies by over an order of magnitude. For some materials, the practical storage temperature at T _g − 50 K was found to be still too high to ensure long-term stability. The estimated τ ⁰ is highly sensitive to the fragility of the material and the C _p of the crystalline and amorphous forms. Materials with high fragility or greater C _p differences between crystalline and amorphous forms tend to have longer τ ⁰.Conclusions The proposed method can be used to estimate molecular mobility at relatively low temperatures without having to conduct enthalpy recovery experiments. An accurate τ ⁰ determination from this method relies on faithful fragility measurements.     

Interrelationships Between Structure and the Properties of Amorphous Solids of Pharmaceutical Interest

This commentary explores fundamental issues associated with the structure of amorphous solids of pharmaceutical interest in terms of the effects of such structure on: various thermodynamic properties; the glass transition temperature, T_g, physical aging of glasses, polyamorphism; molecular mobility by primary diffusive and secondary Johari-Goldstein relaxations; solid-state crystallization; water vapor absorption; and the formation of active pharmaceutical ingredients–polymer dispersions. Recognizing that small organic molecules, as well as polymers used pharmaceutically, tend to exhibit highly “fragile” behavior in the supercooled liquid state, that is, significant increases in relaxation time or viscosity with decreasing temperature as T_g is approached, particular emphasis has been placed on local and global structural factors, that appear to give rise to the nonexponential dependence of the structural relaxation time and viscosity associated with spatial and temporal heterogeneity, at temperatures below the “crossover temperature,” T_x, (1.2-1.4 T_g), using theoretical random close packing and “jamming” models. Utilizing a “2-region” structural model of the glassy state, wherein glasses consist of clustered domains surrounded by a higher energy and less dense “microstructure,” it has been possible to better understand the underlying structural factors that give rise to a number of important phenomena which occur in the glassy state.     

Coupling Between Chemical Reactivity and Structural Relaxation in Pharmaceutical Glasses

Purpose To test the hypothesis that the molecular motions associated with chemical degradation in glassy amorphous systems are governed by the molecular motions associated with structural relaxation. The extent to which a chemical process is linked to the motions associated with structural relaxation will depend on the nature of the chemical process and molecular motion requirements (e.g., translation of a complete molecule, rotational diffusion of a chemical functional group). In this study the chemical degradation and molecular mobility were measured in model systems to assess the degree of coupling between chemical reactivity and structural relaxation. The model systems included pure amorphous cephalosporin drugs, and amorphous molecular mixtures containing a chemically labile drug and an additive expected to moderate molecular mobility.Methods Amorphous drugs and mixtures with additives were prepared by lyophilization from aqueous solution. The physical properties of the model systems were characterized using optical microscopy and differential scanning calorimetry. The chemical degradation of the drugs alone and in mixtures with additives was measured using high-performance liquid chromatography (HPLC). Molecular mobility was measured using isothermal microcalorimetry to measure enthalpy changes associated with structural relaxation below T _g.Results A weak correlation between the rates of degradation and structural relaxation times in pure amorphous cephalosporins suggests that reactivity in these systems is coupled to molecular motions in the glassy state. However, when sucrose was added to one of the cephalosporin drugs stability improved even though this addition reduced T _g and the relaxation time constant, , suggesting that there was no correlation between reactivity and structural relaxation in the cephalosporin mixtures. In contrast, the rate of ethacrynate sodium dimer formation in mixtures was more strongly coupled to the relaxation time constant, .Conclusions These studies suggest that the extent to which chemical degradation is coupled to structural relaxation in glasses motions is determined by how closely the motions of the rate controlling step in chemical degradation are associated with structural relaxation. Moderate coupling between the rate of dimer formation for ethacrynate sodium in mixtures with sucrose, trehalose and PVP and structural relaxation constants suggests that chemical changes that require more significant molecular motion, and includes at least some translational diffusion, are more strongly coupled to the molecular motions associated with structural relaxation. The observation that sucrose stabilizes cefoxitin sodium even though it lowers T _g and reduces the relaxation time constant, is perhaps a result of the importance of other kinds of molecular motions in determining the chemical reactivity in glasses.     

The Molecular Mobility of Supercooled Amorphous Indomethacin as a Function of Temperature and Relative Humidity

Purpose. To determine the relaxation times of supercooled indomethacin as a function of temperature and relative humidity above Tg, and to analyze the results in the context of being able to predict such behavior at various storage conditions. Methods. Dielectric relaxation times were measured in the frequency domain (12 to 10⁵ Hz) for amorphous indomethacin equilibrated at 0, 56, and 83% relative humidity. The heating rate dependence of Tg for dry supercooled indomethacin was measured with differential scanning calorimetry and used to determine relaxation times. The results were compared with previously published shear relaxation times and enthalpy recovery data. Results. Very good agreement was observed between dielectric and shear relaxation times, and those obtained from the heating rate dependence of the Tg, for dry indomethacin as a function of temperature above Tg. The introduction of water lowered the dielectric relaxation times of supercooled indomethacin without significantly affecting its fragility. The relaxation times below Tg, found to be lower than those predicted by extrapolation of the data obtained above Tg, were analyzed in the context of the Adam-Gibbs-Vogel equation. Conclusions. The relaxation times of amorphous indomethacin obtained from the heating rate dependence of Tg were in good agreement with those obtained from shear and dielectric measurements, thus validating a relatively simple approach of assessing molecular mobility. The significant molecular mobility of amorphous indomethacin observed below Tg, and the significant plasticizing effects of sorbed water, help to explain why amorphous indomethacin crystallizes well below Tg over relatively short time scales.     

Molecular Mobility of Supercooled Amorphous Indomethacin,Determined by Dynamic Mechanical Analysis

Purpose. To determine the viscosity and the frequency-dependent shear modulus of supercooled indomethacin as a function of temperature near and above its glass transition temperature and from these data to obtain a quantitative measure of its molecular mobility in the amorphous state. Methods. Viscoelastic measurements were carried with a controlled strain rheometer in the frequency domain, at 9 temperatures from 44° to 90°C. Results. The viscosity of supercooled indomethacin shows a strong non-Arrhenius temperature dependence over the temperature range studied, indicative of a fragile amorphous material. Application of the viscosity data to the VTF equation indicates a viscosity of 4.5 × 10¹⁰ Pa.s at the calorimetric Tg of 41°C, and a T₀ of –17°C. From the complex shear modulus and the Cole-Davidson equation the shear relaxation behaviour is found to be non-exponential, and the shear relaxation time at Tg is found to be approximately 100 sec. Conclusions. Supercooled indomethacin near and above its Tg exhibits significant molecular mobility, with relaxation times similar to the timescales covered in the handling and storage of pharmaceutical products.     

Characterization of Three Crystalline Forms (VIII,XI, and XII) and the Amorphous Form (V) of Delavirdine Mesylate Using 13C CP/MAS NMR

Purpose. The application of solid-state nuclear magnetic resonance (NMR) characterization of three crystalline forms (VIII, XI, XII) and the amorphous form V of delavirdine mesylate (DLV-M) is presented. Methods. Conventional ¹³C CP (cross-polarization)/MAS (magic angle spinning) NMR and related spectral editing methods were employed. NMR relaxation times (T_1pH, T_1H, and T_1C) were also measured. Results. Distinctly different spectral features among the four solid forms were observed, indicating high sensitivity of ¹³C NMR to the variations in solid structure. Assessment based on NMR data suggests that both anhydrous forms VIII and XI may contain one molecule per asymmetric unit. DLV may adopt a similar molecular conformation in the two forms. In contrast, form XII is found to consist of two molecules per asymmetric unit. Molecule conformation of DLV in forms VIII, XI, and XII is altered from the dominant conformer in solution. The amorphous form V may contain DLV molecules of a variety of conformations. NMR relaxation times (T_lpH, T_1H, and T_1C) provide valuable information about the motional characteristics in these solids. Values and the rank order of T_lpH, T_1H, and T_1C also reveal significant differences in local environments and the short range order among the four forms. Conclusions. Four solid forms of DLV-M (V, VIII, XI. and XII) can be distinctly differentiated by ¹³C CP/MAS NMR spectroscopy and their structural difference can be partially revealed without obtaining single crystal data. NMR relaxation times reveal motion dynamics and aid structural elucidation for these forms.     

Effect of Glass Transition Temperature on the Stability of Lyophilized Formulations Containing a Chimeric Therapeutic Monoclonal Antibody

Purpose. The purpose of this study is to highlight the importance of knowing the glass transition temperature, T_g, of a lyophilized amorphous solid composed primarily of a sugar and a protein in the interpretation of accelerated stability data. Methods. Glass transition temperatures were measured using DSC and dielectric relaxation spectroscopy. Aggregation of protein in the solid state was monitored using size-exclusion chromatography. Results. Sucrose formulation (T_g ~ 59°C) when stored at 60°C was found to undergo significant aggregation, while the trehalose formulation (T_g ~ 80°C) was stable at 60°C. The instability observed with sucrose formulation at 60°C can be attributed to its T_g (~59°C) being close to the testing temperature. Increase in the protein/sugar ratio was found to increase the T_gs of the formulations containing sucrose or trehalose, but to different degrees. Conclusions. Since the formulations exist in glassy state during their shelf-life, accelerated stability data generated in the glassy state (40°C) is perhaps a better predictor of the relative stability of formulations than the data generated at a higher temperature (60°C) where one formulation is in the glassy state while the other is near or above its T_g.     

Molecular Mobility and Fragility in Indomethacin: A Thermally Stimulated Depolarization Current Study

Purpose. To show that thermally stimulated depolarization currents (TSDC), which is a dielectric experimental technique relatively unknown in the pharmaceutical scientists community, is a powerful technique to study molecular mobility in pharmaceutical solids, below their glass transition temperature (T_g). Indomethacin (T_g = 42°C) is used as a model compound. Methods. TSDC is used to isolate the individual modes of motion present in indomethacin, in the temperature range between –165°C and +60°C. From the experimental output of the TSDC experiments, the kinetic parameters associated with the different relaxational modes of motion were obtained, which allowed a detailed characterization of the distribution of relaxation times of the complex relaxations observed in indomethacin. Results. Two different relaxational processes were detected and characterized: the glass transition relaxation, or -process, and a sub-T_g relaxation, or secondary process. The lower temperature secondary process presents a very low intensity, a very low activation energy, and a very low degree of cooperativity. The fragility index (Angell's scale) of indomethacin obtained from TSDC data is m = 64, which can be compared with other values reported in the literature and obtained from other experimental techniques. Conclusions. TSDC data indicate that indomethacin is a relatively strong glass former (fragility similar to glycerol but lower than sorbitol, trehalose, and sucrose). The high-resolution power of the TSDC technique is illustrated by the fact that it detected and characterized the secondary relaxation in indomethacin, which was not possible by other techniques.     

Prediction of Onset of Crystallization in Amorphous Pharmaceutical Systems: Phenobarbital,Nifedipine/PVP,and Phenobarbital/PVP

The aim of this work is to determine if a stability testing protocol based on the correlations between crystallization onset and relaxation time above the glass transition temperature (T_g) can be used to predict the crystallization onsets in amorphous pharmaceutical systems well below their T_g. This procedure assumes that the coupling between crystallization onset and molecular mobility is the same above and below T_g. The stability testing protocol has been applied to phenobarbital, phenobarbital/polyvinylpyrrolidone (PVP) (95/5, w/w), and nifedipine/PVP (95/5, w/w). Crystallization onsets have been detected by polarized light microscopy examination of amorphous films; molecular mobility has been determined by dielectric relaxation spectroscopy above T_g and by both isothermal calorimetry and modulated differential scanning calorimetry below T_g. We find that small amounts of PVP significantly retard re-crystallization. This dramatic effect of PVP is not related to mobility, so this approach applies, at best, to extrapolation of high temperature data on a given formulation to low temperatures. Variation in molecular mobility at these concentrations of PVP is not the dominant factor in determining variation in propensity for re-crystallization from glassy systems; we suggest surface interactions between PVP and nuclei and/or small crystals slowing growth control variation in crystallization kinetics between formulations. © 2010 Wiley-Liss, Inc. and the American Pharmacists Association J Pharm Sci 99:3887-3900, 2010     

Solid-State NMR Investigation of Drug-Excipient Interactions and Phase Behavior in Indomethacin-Eudragit E Amorphous Solid Dispersions

Purpose

To investigate the nature of drug-excipient interactions between indomethacin (IMC) and methacrylate copolymer Eudragit® E (EE) in the amorphous state, and evaluate the effects on formulation and stability of these amorphous systems.

Methods

Amorphous solid dispersions containing IMC and EE were spray dried with drug loadings from 20% to 90%. PXRD was used to confirm the amorphous nature of the dispersions, and DSC was used to measure glass transition temperatures (T_g). ¹³C and ¹⁵N solid-state NMR was utilized to investigate changes in local structure and protonation state, while ¹H T₁ and T_1ρ relaxation measurements were used to probe miscibility and phase behavior of the dispersions.

Results

T_g values for IMC-EE solid dispersions showed significant positive deviations from predicted values in the drug loading range of 40–90%, indicating a relatively strong drug-excipient interaction. ¹⁵N solid-state NMR exhibited a change in protonation state of the EE basic amine, with two distinct populations for the EE amine at ?360.7 ppm (unprotonated) and ?344.4 ppm (protonated). Additionally, ¹H relaxation measurements showed phase separation at high drug load, indicating an amorphous ionic complex and free IMC-rich phase. PXRD data showed all ASDs up to 90% drug load remained physically stable after 2 years.

Conclusions

¹⁵N solid-state NMR experiments show a change in protonation state of EE, indicating that an ionic complex indeed forms between IMC and EE in amorphous solid dispersions. Phase behavior was determined to exhibit nanoscale phase separation at high drug load between the amorphous ionic complex and excess free IMC.

     

Comparative Relaxation Dynamics of Glucose and Maltitol

Purpose To demonstrate the utility of differential scanning calorimetry (DSC) for determining activation energy landscape in amorphous pharmaceutical systems throughout the sub-T _g and T _g regions.Materials and Methods DSC was employed to determine the effective activation energies (E) of the relaxation in sub-T _g and T _g regions as well as the sizes of cooperatively rearranging regions in glassy maltitol and glucose.Results It has been found that in the sub-T _g region E decreases with decreasing T reaching the values ∼60 (glucose) and ∼70 (maltitol) kJ mol⁻¹ that are comparable to the literature values of the activation energies for the β-relaxation. In the T _g region E decreases (from ∼250 to ∼150 kJ mol⁻¹ in maltitol and from ∼220 to ∼170 kJ mol⁻¹ in glucose) with increasing T as typically found for the α-relaxation. From the heat capacity measurements the sizes of cooperatively rearranging regions have been determined as 3.1 (maltitol) and 3.3 (glucose) nm.Conclusions DSC can be used for evaluating the energy landscapes. The E values for maltitol are somewhat greater than for glucose due to the added impeding effect of the bulky substitute group in maltitol. The comparable sizes of the cooperatively rearranging regions suggest a similarity of the heterogeneous glassy structures of the two compounds.     

Rapid Assessment of the Structural Relaxation Behavior of Amorphous Pharmaceutical Solids: Effect of Residual Water on Molecular Mobility

Purpose Use RH-perfusion microcalorimetry and other analytical techniques to measure the interactions between water vapor and amorphous pharmaceutical solids; use these measurements and a mathematical model to provide a mechanistic understanding of observed calorimetric events.Materials Isothermal microcalorimetry was used to characterize interactions of water vapor with a model amorphous system, spray-dried raffinose. Differential scanning calorimetry was used to measure glass transition temperature, T _g. High-sensitivity differential scanning calorimetry was used to measure enthalpy relaxation. X-ray powder diffraction (XRPD) was used to confirm that the spray-dried samples were amorphous. Scanning electron microscopy (SEM) was used to examine particle morphology. Gravimetric vapor sorption was used to measure moisture sorption isotherms. Thermogravimetric analysis (TGA) was used to measure loss on drying.Results A moisture-induced thermal activity trace (MITAT) provides a rapid measure of the dependence of molecular mobility on moisture content at a given storage temperature. At some relative humidity threshold, RH_m, the MITAT exhibits a dramatic increase in the calorimetric rate of heat flux. Simulations using calorimetric data indicate that this thermal event is a consequence of enthalpy relaxation.Conclusions RH-perfusion microcalorimetry is a useful tool to determine the onset of moisture-induced physical instability of glassy pharmaceuticals and could find a broad application to determine appropriate storage conditions to ensure long-term physical stability. Remarkably, thermal events measured on practical laboratory timescales (hours to days) are relevant to the stability of amorphous materials on much longer, pharmaceutically relevant timescales (years). The mechanistic understanding of these observations in terms of enthalpy relaxation has added further value to the use of RH-perfusion calorimetry as a rapid means to characterize the molecular mobility of amorphous solids.     

Molecular Mobility of Protein in Lyophilized Formulations Linked to the Molecular Mobility of Polymer Excipients,as Determined by High Resolution 13C Solid-State NMR

Purpose. The mobility of protein molecules in lyophilized protein formulations was compared with that of excipient molecules based on the spin-lattice relaxation time (T₁) of each molecule determined by high resolution ¹³C solid-state NMR. The relationship between molecular mobility and protein stability is discussed. Methods. Protein aggregation of lyophilized bovine serum --globulin (BGG) formulation containing dextran was measured by size exclusion chromatography. The T₁ of the BGG carbonyl carbon and dextran methin carbon in the formulation was determined by high resolution ¹³C NMR, and subsequently used to calculate the correlation time (_C) of each carbon. The spin-spin relaxation time (T₂) of BGG and dextran protons was measured by pulsed NMR spectrometry, and the critical temperature of appearance of Lorentzian relaxation due to liquid BGG and dextran protons (T_mc) was determined. Results. The _C of dextran methin carbon in BGG-dextran formulations exhibited a linear temperature dependence according to the Adam-Gibbs-Vogel equation at lower temperatures, and a nonlinear temperature dependence described by the Vogel-Tamman-Fulcher equation at higher temperatures. The temperature at which molecular motion of dextran changed was consistent with the T_mc. The _C of BGG carbonyl carbon exhibited a similar temperature dependence to the _C of the dextran methin carbon and substantially decreased at temperatures above T_mc in the presence of dextran. The temperature dependence of BGG aggregation could be described by the Williams-Landel-Ferry equation even at temperatures 20°C lower than T_mc. Conclusions. High resolution ¹³C solid-state NMR indicated that the molecular motion of BGG was enhanced above T_mc in association with the increased global segmental motion of dextran molecules.     

The Effect of Excipients on the Molecular Mobility of Lyophilized Formulations,as Measured by Glass Transition Temperature and NMR Relaxation-Based Critical Mobility Temperature

Purpose. The dependence of the molecular mobility of lyophilized formulations on pharmaceutical polymer excipients was studied. Molecular mobility as determined by NMR relaxation-based critical temperature of molecular mobility (T_mc) and glass transition temperature (T_g) is discussed in relation to the plasticizing effect of water in formulations. Methods. The T_mc and T_g of lyophilized -globulin formulations containing 6 different polymer excipients such as dextran, polyvinylpyrrolidone (PVP) and methylcellulose (MC) was determined by NMR and DSC. The molecular mobility of water in the formulations was determined by proton NMR and dielectric relaxation spectrometry (DRS). Results. T_mc varied with polymer excipients. T_mc increased as the ratio of bound water to mobile water increased and as the molecular mobility of mobile water decreased. The formulation containing MC exhibited a lower T_mc than the formulation containing dextran because of the smaller ratio of bound water and the higher molecular mobility of mobile water. The T_mc of the formulation containing PVP was higher than that expected from the higher T₂ values of water because of the lower molecular mobility of mobile water regardless of the higher ratio of mobile water. The T_mc of these lyophilized formulations was higher than their T_g by 23°C to 34°C, indicating that the formulations became a NMR-detected microscopically liquidized state below their T_g. Conclusions. The quantity and the molecular mobility of mobile water in lyophilized formulations can be considered to affect the T_mc of lyophilized formulations, which in turn governs their stability.     

Molecular Mobility in Mixtures of Absorbed Water and Solid Poly(vinylpyrrolidone)

Poly(vinylpyrrolidone) (PVP) was used as model system to examine molecular mobility in mixtures of absorbed water with solid amorphous polymers. Water vapor absorption isotherms were determined, along with diffusion and proton NMR relaxation measurements of absorbed water. Concurrently, measurements of glass transition temperatures (T _g) and carbon-13 NMR relaxation times for PVP were determined as a function of water content. Two water contents were used as reference points: W _m, obtained from the fit of water absorption isotherms to the BET equation, corresponding to the first shoulder in the sigmoid isotherm; and W _g, the amount of water necessary to depress T _g to the isotherm temperature. Translational diffusion coefficients of water, along with proton T ₁ relaxation time constants, show that both the translational and the rotational mobility of the water is hindered by the presence of the solid polymer and that the absorbed water is most likely represented by two or more populations of water with different modes or time scales of motion. The presence of "tightly bound or immobilized water at levels corresponding to W _m, however, is unlikely, since water molecules maintain a high degree of mobility, even at the lowest levels of water. Above W _g, water shows an increase in mobility with increasing water content, but it is always less mobile than bulk water. With increasing water content, carbon-13 T ₁ relaxation time constants for PVP, measured under the same conditions as above, indicate a major increase in the molecular mobility of carbon atoms associated with the pyrrolidone side chains.     

Probing Beta Relaxation in Pharmaceutically Relevant Glasses by Using DSC

Purpose This study was conducted to demonstrate the use of differential scanning calorimetry (DSC) in detecting and measuring β-relaxation processes in amorphous pharmaceutical systems. Methods DSC was employed to study amorphous samples of poly(vinylpyrrolidone) (PVP), indomethacin (IM), and ursodeoxycholic acid (UDA) that were annealed at temperatures (T_a) around 0.8 of their glass transition temperatures (T_g). Dynamic mechanical analysis (DMA) was used to measure β-relaxation in PVP. Results Reheating the annealed samples gives rise to annealing peaks that occur below T_g. The peaks cannot be generated when annealing below the low temperature limit of β-relaxation. These limits are around 50°C for PVP, −20°C for IM, and 30°C for UDA. The effective activation energy (E) of the sub-T_g relaxation has been estimated for each T_a and found to increase with T_a, reflecting increasing contribution of the α-process. Estimates of E for β-relaxation have been obtained from the lowest T_a data, and are as follows: 68 (PVP), 56 (IM), 67 (UDA) kJ mol⁻¹. Conclusions DSC can be used for detecting β-relaxation processes and estimating its low temperature limit, i.e., the temperature below which amorphous drugs would remain stable. It can also provide comparative estimates of low temperature stability of amorphous drugs in terms of the activation energies of the β-relaxation.     

Molecular Mobility of Amorphous Pharmaceutical Solids Below Their Glass Transition Temperatures

Purpose. To measure the molecular mobility of amorphous pharmaceutical solids below their glass transition temperatures (Tg), using indomethacin, poly (vinyl pyrrolidone) (PVP) and sucrose as model compounds. Methods. Differential scanning calorimetry (DSC) was used to measure enthalpic relaxation of the amorphous samples after storage at temperatures 16-47 K below Tg for various time periods. The measured enthalpy changes were used to calculate molecular relaxation time parameters. Analogous changes in specimen dimensions were measured for PVP films using thermomechanical analysis. Results. For all the model materials it was necessary to cool to at least 50 K below the experimental Tg before the molecular motions detected by DSC could be considered to be negligible over the lifetime of a typical pharmaceutical product. In each case the temperature dependence of the molecular motions below Tg was less than that typically reported above Tg and was rapidly changing. Conclusions. In the temperature range studied the model amorphous solids were in a transition zone between regions of very high molecular mobility above Tg and very low molecular mobility much further below Tg. In general glassy pharmaceutical solids should be expected to experience significant molecular mobility at temperatures up to fifty degrees below their glass transition temperature.     

Enthalpy Relaxation in Binary Amorphous Mixtures Containing Sucrose

Purpose. To compare the enthalpy relaxation of amorphous sucrose and co-lyophilized sucrose-additive mixtures near the calorimetric glass transition temperature, so as to measure the effects of additives on the molecular mobility of sucrose. Methods. Amorphous sucrose and sucrose-additive mixtures, containing poly(vinylpyrrolidone) (PVP), poly(vinylpyrrolidone-co-vinyl-acetate) (PVP/VA) dextran or trehalose, were prepared by lyophilization. Differential scanning calorimetry (DSC) was used to determine the area of the enthalpy recovery endotherm following aging times of up to 750 hours for the various systems. This technique was also used to compare the enthalpy relaxation of a physical mixture of amorphous sucrose and PVP. Results. Relative to sucrose alone, the enthalpy relaxation of co-lyophilized sucrose-additive mixtures was reduced when aged for the same length of time at a comparable degree of undercooling in the order: dextran PVP > PVP/VA > trehalose. Calculated estimates of the total enthalpy change required for sucrose and the mixtures to relax to an equilibrium supercooled liquid state (H) were essentially the same and were in agreement with enthalpy changes measured at longer aging times (750 hours). Conclusions. The observed decrease in the enthalpy relaxation of the mixtures relative to sucrose alone indicates that the mobility of sucrose is reduced by the presence of additives having a T_g that is greater than that of sucrose. Comparison with a physically mixed amorphous system revealed no such effects on sucrose. The formation of a molecular dispersion of sucrose with a second component, present at a level as low as 10%, thus reduces the mobility of sucrose below T_g, most likely due to the coupling of the molecular motions of sucrose to those of the additive through molecular interactions.