Istituto per i Processi Chimico-Fisici del CNR, via G. Moruzzi 1, 56124 Pisa, Italy.
J Chem Phys. 2013 Aug 14;139(6):064507. doi: 10.1063/1.4817333.
Relaxation phenomenon, thermodynamics, and phase transformation of water in nanopores has been studied by differential scanning calorimetry, usually on heating a precooled sample. Interpretation of such results is ambiguous, because the data do not indicate whether or not there is a thermal hysteresis between the heating and cooling paths. We argue that measurements on both the cooling and heating paths are needed, particularly for complex systems, and also measurements of the complex quantity are needed to ascertain that the Kramers-Kronig relations for a relaxation process are obeyed. We report a study of the real and imaginary components of the complex specific heat, C(p)' and C(p)", and the time-dependent C(p,app) of water confined to 2.4 nm diameter cylindrical pores on both the cooling and heating paths, and use different thermal histories. C(p,app) of nanoconfined water shows two exothermic peaks during cooling below 255 K at 12 K/h and only one endothermic peak on heating, and the enthalpy change determined from the exotherm is more than that determined from the endotherm. C(p,app) and C(p)' of the partially crystallized water is higher at 240 K than at 275 K on the cooling path, and C(p,app) and C(p)' of the partially crystalline water are lower at 240 K than at 275 K on the heating path, thus showing a thermal hysteresis in this range. Studies by using 60 K/h cooling and heating rates and the effect of heat treatment at selected temperatures confirm that the features observed are due to slow crystallization and slow melting. The endotherm observed on the heating path with onset at 220 K and peak at 227 K is due to gradual melting of the ice in nanopores, and not due to glass-softening transition, a liquid-liquid transition, or an approach toward the conjectured critical point of the supercooled water in the 2.4 nm pores.
水在纳米孔中的弛豫现象、热力学和相变已通过差示扫描量热法进行了研究,通常是在对预冷样品进行加热的情况下进行。对这些结果的解释并不明确,因为数据并不能表明加热和冷却路径之间是否存在热滞后。我们认为,需要对冷却和加热路径进行测量,特别是对于复杂体系,还需要对复杂量进行测量,以确定弛豫过程是否符合克朗尼格-克劳斯关系。我们报告了对受限在 2.4nm 直径圆柱孔中的水的复比热的实部和虚部 C(p)′和 C(p)″,以及时间相关的 C(p,app)在冷却和加热路径上的测量,并且使用了不同的热历史。在 12K/h 的冷却速率下,低于 255K 的水在冷却时显示出两个放热峰,而在加热时仅显示一个吸热峰,从放热峰确定的焓变大于从吸热峰确定的焓变。在冷却路径上,部分结晶水在 240K 时的 C(p,app)和 C(p)′高于 275K 时的值,而在加热路径上,部分结晶水在 240K 时的 C(p,app)和 C(p)′低于 275K 时的值,因此在该范围内显示出热滞后。使用 60K/h 的冷却和加热速率以及在选定温度下的热处理的研究证实,观察到的特征是由于缓慢结晶和缓慢熔化所致。在加热路径上以 220K 开始并在 227K 处达到峰值的吸热峰是由于纳米孔中冰的逐渐熔化,而不是由于玻璃软化转变、液-液转变或接近超冷水在 2.4nm 孔中的推测临界点。