Ramesh K
Department of Physics, Indian Institute of Science , Bangalore 560012, India.
J Phys Chem B. 2014 Jul 24;118(29):8848-53. doi: 10.1021/jp504290z. Epub 2014 Jul 7.
Amorphous solids prepared from their melt state exhibit glass transition phenomenon upon heating. Viscosity, specific heat, and thermal expansion coefficient of the amorphous solids show rapid changes at the glass transition temperature (Tg). Generally, application of high pressure increases the Tg and this increase (a positive dT(g)/dP) has been understood adequately with free volume and entropy models which are purely thermodynamic in origin. In this study, the electrical resistivity of semiconducting As(2)Te(3) glass at high pressures as a function of temperature has been measured in a Bridgman anvil apparatus. Electrical resistivity showed a pronounced change at Tg. The Tg estimated from the slope change in the resistivity-temperature plot shows a decreasing trend (negative dT(g)/dP). The dT(g)/dP was found to be -2.36 °C/kbar for a linear fit and -2.99 °C/kbar for a polynomial fit in the pressure range 1 bar to 9 kbar. Chalcogenide glasses like Se, As(2)Se(3), and As(30)Se(30)Te(40) show a positive dT(g)/dP which is very well understood in terms of the thermodynamic models. The negative dT(g)/dP (which is generally uncommon in liquids) observed for As(2)Te(3) glass is against the predictions of the thermodynamic models. The Adam-Gibbs model of viscosity suggests a direct relationship between the isothermal pressure derivative of viscosity and the relaxational expansion coefficient. When the sign of the thermal expansion coefficient is negative, dT(g)/dP = Δk/Δα will be less than zero, which can result in a negative dT(g)/dP. In general, chalcogenides rich in tellurium show a negative thermal expansion coefficient (NTE) in the supercooled and stable liquid states. Hence, the negative dT(g)/dP observed in this study can be understood on the basis of the Adams-Gibbs model. An electronic model proposed by deNeufville and Rockstad finds a linear relation between Tg and the optical band gap (Eg) for covalent semiconducting glasses when they are grouped according to their average coordination number. The electrical band gap (ΔE) of As(2)Te(3) glass decreases with pressure. The optical and electrical band gaps are related as Eg = 2ΔE; thus, a negative dT(g)/dP is expected when As(2)Te(3) glass is subjected to high pressures. In this sense, As(2)Te(3) is a unique glass where its variation of Tg with pressure can be understood by both electronic and thermodynamic models.
由熔融态制备的非晶态固体在加热时会表现出玻璃化转变现象。非晶态固体的粘度、比热和热膨胀系数在玻璃化转变温度(Tg)处会发生快速变化。一般来说,施加高压会提高Tg,并且这种升高(正的dT(g)/dP)已通过纯粹源于热力学的自由体积和熵模型得到充分理解。在本研究中,在布里奇曼砧装置中测量了半导体As(2)Te(3)玻璃在高压下的电阻率随温度的变化。电阻率在Tg处显示出明显变化。从电阻率 - 温度图中的斜率变化估计的Tg呈现出下降趋势(负的dT(g)/dP)。在1巴至9千巴的压力范围内,线性拟合时dT(g)/dP为 -2.36 °C/kbar,多项式拟合时为 -2.99 °C/kbar。像Se、As(2)Se(3)和As(30)Se(30)Te(40)这样的硫属化物玻璃显示出正的dT(g)/dP,这根据热力学模型很容易理解。As(2)Te(3)玻璃观察到的负dT(g)/dP(这在液体中通常不常见)与热力学模型的预测相反。粘度的亚当 - 吉布斯模型表明粘度的等温压力导数与弛豫膨胀系数之间存在直接关系。当热膨胀系数的符号为负时,dT(g)/dP = Δk/Δα将小于零,这可能导致负的dT(g)/dP。一般来说,富含碲的硫属化物在过冷和稳定液态下表现出负热膨胀系数(NTE)。因此,可以基于亚当斯 - 吉布斯模型理解本研究中观察到的负dT(g)/dP。德诺夫维尔和罗克施塔德提出的电子模型发现,当共价半导体玻璃根据其平均配位数分组时,Tg与光学带隙(Eg)之间存在线性关系。As(2)Te(3)玻璃的电带隙(ΔE)随压力减小。光学带隙和电带隙的关系为Eg = 2ΔE;因此,当As(2)Te(3)玻璃受到高压时,预计会出现负的dT(g)/dP。从这个意义上说,As(2)Te(3)是一种独特的玻璃,其Tg随压力的变化可以通过电子和热力学模型来理解。