Report

# Organic Glasses with Exceptional Thermodynamic and Kinetic Stability

See allHide authors and affiliations

Science  19 Jan 2007:
Vol. 315, Issue 5810, pp. 353-356
DOI: 10.1126/science.1135795

## Abstract

Vapor deposition has been used to create glassy materials with extraordinary thermodynamic and kinetic stability and high density. For glasses prepared from indomethacin or 1,3-bis-(1-naphthyl)-5-(2-naphthyl)benzene, stability is optimized when deposition occurs on substrates at a temperature of 50 K below the conventional glass transition temperature. We attribute the substantial improvement in thermodynamic and kinetic properties to enhanced mobility within a few nanometers of the glass surface during deposition. This technique provides an efficient means of producing glassy materials that are low on the energy landscape and could affect technologies such as amorphous pharmaceuticals.

Glassy materials combine the disordered structure of a liquid with the mechanical properties of a solid. Amorphous systems can be described in terms of a potential energy landscape, with thermodynamics and kinetics controlled by the minima and barriers on the landscape, respectively (13). Many important issues could be addressed if liquids or glasses with very low energies could be created (2, 46). For example, it might be possible to definitively understand the Kauzmann entropy crisis, an area of intense recent interest (1, 711). Kauzmann observed that if the entropy of many supercooled liquids is extrapolated to low temperature, the amorphous state is predicted to have a lower entropy than that of the highly ordered crystal well above absolute zero (5, 6).

Glasses are usually prepared by cooling a liquid, but accessing low energy states by this route is impractically slow (4, 12). If a liquid avoids crystallization as it is cooled, molecular motion eventually becomes too slow to allow the molecules to find equilibrium configurations. This transition to a nonequilibrium state defines the glass transition temperature Tg. Glasses are “stuck” in local minima on the potential energy landscape (2, 3). Because glasses are thermodynamically unstable, lower energies in the landscape are eventually achieved through molecular rearrangements. However, this process is so slow that it is generally impossible to reach states deep in the landscape by this route.

We have discovered that vapor deposition can bypass these kinetic restrictions and produce glassy materials that have extraordinary energetic and kinetic stability and unusually high densities. We demonstrate this for two molecular glass formers: 1,3-bis-(1-naphthyl)-5-(2-naphthyl)benzene (TNB) (Tg = 347 K) and indomethacin (IMC) (Tg = 315 K). For these systems, the most stable glasses are obtained when vapor is deposited onto a substrate controlled near Tg – 50 K. We argue that surface mobility during the deposition process is the mechanism of stable glass formation.

Differential scanning calorimetry (DSC) was used to examine the kinetics and thermodynamics of vapor-deposited samples created by heating crystalline TNB or IMC in a vacuum. Figure 1A shows DSC data for TNB vapor-deposited (blue) onto a substrate held at 296 K. This scan was continued beyond the melting point, after which the sample was cooled into the glass and then scanned again to yield the black curve. This latter curve represents the behavior of an ordinary glass of TNB, with Tg = 347 K, as defined by the onset temperature; it is consistent with previously reported results for TNB (1315).

Remarkably, the vapor-deposited sample has a substantially higher onset temperature of 363 K. This result indicates that the vapor-deposited material is kinetically much more stable, because higher temperatures are required to dislodge the molecules from their glassy configurations. For comparison, we isothermally annealed the ordinary glass for 6 months at 296 K and up to 15 days at 328 K (equilibrium was reached at 328 K). Vapor-deposited samples created in only a few hours have much greater kinetic stability than ordinary glasses aged for many days or months below Tg.

To quantify the thermodynamic stability of the vapor-deposited materials, we calculate the fictive temperature (Tf), as defined below. Lower Tf values indicate a lower position in the energy landscape. The enthalpy for TNB and IMC samples, obtained by integrating the heat capacity Cp, is plotted in Fig. 1B. The intersection between these data and the extrapolated supercooled liquid enthalpy (red curve) defines Tf for each sample. For both TNB and IMC, samples prepared by vapor deposition have considerably lower enthalpies and Tf values. On the basis of aging experiments on TNB, we estimate that it would require at least 40 years of annealing an ordinary glass to match Tf for the vapor-deposited sample shown in Fig. 1 (12). The similarity of the results for TNB and IMC suggests that vapor deposition can generally produce highly stable glasses.

The thermodynamic stability of these films can also be quantified in comparison with the Kauzmann temperature (TK), the temperature at which the extrapolated entropy of the supercooled liquid equals that of the crystal (4, 5). We define a figure of merit: $Math$(1) For fragile glassformers such as TNB and IMC, θK is a measure of position on the energy landscape, with a value of 1 (Tf = TK) indicating the lowest possible position on the landscape. For TNB, Magill estimated TK = 270 K (14). Vapor deposition of TNB at Tg – 50 K created films with θK = 0.43; by this measure, we have proceeded 43% toward the bottom of the energy landscape for amorphous configurations. In comparison, annealing the ordinary glass at 296 K (θK = 0.09) or 328 K (θK = 0.22) is relatively ineffective. Similar results were observed for IMC deposited at Tg – 50 K, with θK = 0.23 to 0.44, depending on deposition rate. These results can be put into context by comparison with Kovac's seminal aging experiments on poly(vinylacetate), where 2 months of annealing achieved θK ≤ 0.17 (16).

Vapor deposition can also create unusually dense glasses. The ratio of the density of vapor-deposited TNB (ρVD) to that of the ordinary glass (ρo, prepared by cooling from the liquid) increases as the deposition temperature is lowered toward Tg – 50 K (Fig. 2). Also shown as the solid line is a prediction of the density if vapor deposition produced an equilibrium supercooled liquid at the deposition temperature (12). For this range of deposition temperatures, our samples nearly achieve this upper bound for the density. If we define a fictive temperature based on density, deposition at 296 K produces Tf ≈ 300 K, slightly lower than the fictive temperature based on the enthalpy (15).

We have used neutron reflectivity to characterize diffusion in glasses of TNB. The high spatial resolution and large contrast in the scattering length of neutrons for hydrogen and deuterium nuclei make this an excellent technique for quantifying molecular motion. As schematically shown in the inset of Fig. 3, 300-nm films were prepared by alternately vapor-depositing 30-nm-thick layers of protio TNB (h-TNB) and deuterio TNB (d-TNB) (17). The specular reflectivity R was measured as a function of beam angle relative to the sample surface. This value, multiplied by q4 for clarity, is plotted as a function of the wave vector q. Reflectivity curves for samples vapor-deposited at different temperatures display diffraction peaks; as expected for our symmetric multilayer samples, only odd diffraction orders are present. For samples deposited at low temperature, diffraction can be observed up to the 13th order, indicating very sharp h-TNB/d-TNB interfaces (15).

Time series of neutron reflectivity curves were obtained for two vapor-deposited samples during annealing at 342 K for samples deposited at 330 K (Fig. 4A) or 296 K (Fig. 4B). During 8 hours of annealing, all diffraction peaks (except the first-order peak) for sample A decayed to zero, indicating that substantial interfacial broadening had occurred because of interdiffusion of h-TNB/d-TNB. During the 16 hours of annealing at 342 K for sample B, no detectable interdiffusion occurred, even on the single-nanometer length scale. We emphasize that the only difference between these two samples was the temperature at which the substrate was held during deposition.

Figure 4A illustrates the behavior of an ordinary glass annealed near Tg; as shown elsewhere (17), interdiffusion in this sample is characteristic of the equilibrium liquid. In contrast, the sample deposited near Tg – 50 K (Fig. 4B) is kinetically much more stable, in qualitative agreement with the high onset temperature shown for the vapor-deposited sample in Fig. 1A. We can quantify the magnitude of this stability in terms of the equilibrium structural relaxation time τα, known to be 250 s at 342 K (18). The induction time for the sample deposited at Tg – 50 K exceeds 200 τα. Consistent with this result, we have observed in preliminary experiments that crystal growth rates in stable, vapor-deposited TNB glasses are slower than in ordinary glasses, although the former may contain crystal nuclei.

The reflectivity curves in Fig. 3 provide insight into the mechanism that allows vapor deposition to create unusually stable glasses. The average h-TNB/d-TNB interface widths of the as-deposited samples were extracted from fits to the raw data (17) and ranged from 9 nm for the sample deposited at 339 K to 1.5 nm for deposition at 242 K. For all samples deposited at 296 K or above, the interfacial width exceeds the surface roughness (∼1.5 nm) as determined by x-ray and neutron reflectivity and the broadening estimated for bulk diffusion during the deposition process (17). Deposition at 242 K (Tg – 100 K) produced interfacial widths that are consistent with the surface roughness.

Because the h-TNB/d-TNB interface widths for deposition temperatures above 242 K cannot be explained by surface roughness or bulk diffusion, we tentatively attribute them to enhanced mobility within a few nanometers of the surface of a TNB glass. Such mobility would explain both the broad interfaces observed in the as-deposited samples and the unusually stable glasses formed by vapor deposition. At the deposition rates used in our experiments (0.1 to 5 nm/s), TNB molecules would be a part of the mobile surface layer for ∼1 s before they are buried and become part of the bulk glass. If molecules at the surface can substantially rearrange in 1 s, they can find configurations that are near equilibrium configurations at the temperature of the substrate, even if the substrate is well below Tg.

This rapid configuration sampling at the surface would, in a layer-by-layer fashion, produce a bulk glass that is low in the energy landscape with unusually high density and kinetic stability. It would also produce the broad interfaces observed for deposition at temperatures of 296 K and above. Enhanced surface dynamics similar to those in our proposed mechanism have been recently reported. By measuring voltage changes induced by the motions of implanted ions, Cowin and co-workers deduced a marked decrease of the viscosity for the top 3 nm of thin films of supercooled 3-methylpentane (19). Numerous studies have found evidence for enhanced mobility at the surface of glassy polymer films (2023).

The surface-mobility mechanism for the creation of unusually stable glasses is supported by an order-of-magnitude calculation. TNB samples vapor-deposited at 296 K have interface widths of 2.5 nm, clearly in excess of the width associated with surface roughness. We attribute the additional 1 nm of interface width to surface mobility and, given a deposition rate of 0.1 nm/s, the molecules are within the mobile surface layer for 10 s. Combining this length and time yields an estimate for the surface diffusion coefficient of 5 × 10–16 cm2/sec. For bulk TNB, this diffusion coefficient is found near Tg, where the structural relaxation time τα is a few seconds (17, 18). Thus, surface molecules plausibly remain mobile for several structural relaxation times before becoming buried, arguably long enough to find near-equilibrium configurations at 296 K.

Given the widespread use of vapor-deposition techniques, it is surprising that unusually stable glasses have not been reported previously. In fact, it is commonly reported that vapor-deposition creates low-density glasses with low kinetic and thermodynamic stability (2426). As compared with many reported depositions of metallic and organic materials, we have used lower deposition rates and/or substrate temperatures that are nearer to Tg. We observe the creation of highly stable glasses only for substrate temperatures Tdep/Tg in the vicinity of 0.85. Additionally, we observe that increasing the deposition rate can considerably decrease the stability of the glasses formed. These observations are all consistent with our proposed mechanism: Faster deposition does not allow as much time for equilibration at the surface and, at low enough temperature, surface molecules will rearrange too slowly to equilibrate. Indeed, the metallic glass community has known for decades that fast, low-temperature deposition is required to prepare high-energy glasses that quench thermodynamically unstable mixtures (27).

We speculate that unusually stable glasses can be prepared for many systems that can be vapor-deposited, if surface mobility is enhanced and the substrate temperature is appropriately controlled. We anticipate that the availability of low-energy glasses prepared by vapor deposition and less general routes (28) will allow new insights into glass formation and the nature of the lower regions of the energy landscape. Stable glasses could also affect technologies such as amorphous pharmaceuticals, where stability against crystallization is required to retain the enhanced bioavailability of amorphous preparation.

Supporting Online Material

Materials and Methods

Fig. S1

References

View Abstract