Isotope effects in supercooled H$_2$O and D$_2$O and a corresponding-states-like rescaling of the temperature and pressure

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Main Author: Kimmel, Greg A.
Format: Preprint
Published: 2024
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author Kimmel, Greg A.
author_facet Kimmel, Greg A.
contents Water shows anomalous properties that are enhanced upon supercooling. The unusual behavior is observed in both H$_2$O and D$_2$O, however with different temperature dependences for the two isotopes. It is often noted that comparing the properties of the isotopes at two different temperatures (i.e., a temperature shift) approximately accounts for many of the observations with a temperature shift of 7.2 K in the temperature of maximum density being the most well-known example. However, the physical justification for such a shift is unclear. Motivated by recent work demonstrating a corresponding-states-like rescaling for water properties in three classical water models that all exhibit a liquid-liquid transition and critical point (B. Uralcan, et al., J. Chem. Phys. 150, 064503 (2019)), the applicability of this approach for reconciling the differences in temperature- and pressure-dependent thermodynamic properties of H$_2$O and D$_2$O is investigated here. Utilizing previously published data and equations-of-state for H$_2$O and D$_2$O, we show that the available data and models for these isotopes are consistent with such a low temperature correspondence. These observations provide support for the hypothesis that a liquid-liquid critical point, which is predicted to occur at low temperatures and high pressures, is the origin of many of water's anomalies.
format Preprint
id arxiv_https___arxiv_org_abs_2403_08722
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Isotope effects in supercooled H$_2$O and D$_2$O and a corresponding-states-like rescaling of the temperature and pressure
Kimmel, Greg A.
Chemical Physics
Other Condensed Matter
Soft Condensed Matter
Water shows anomalous properties that are enhanced upon supercooling. The unusual behavior is observed in both H$_2$O and D$_2$O, however with different temperature dependences for the two isotopes. It is often noted that comparing the properties of the isotopes at two different temperatures (i.e., a temperature shift) approximately accounts for many of the observations with a temperature shift of 7.2 K in the temperature of maximum density being the most well-known example. However, the physical justification for such a shift is unclear. Motivated by recent work demonstrating a corresponding-states-like rescaling for water properties in three classical water models that all exhibit a liquid-liquid transition and critical point (B. Uralcan, et al., J. Chem. Phys. 150, 064503 (2019)), the applicability of this approach for reconciling the differences in temperature- and pressure-dependent thermodynamic properties of H$_2$O and D$_2$O is investigated here. Utilizing previously published data and equations-of-state for H$_2$O and D$_2$O, we show that the available data and models for these isotopes are consistent with such a low temperature correspondence. These observations provide support for the hypothesis that a liquid-liquid critical point, which is predicted to occur at low temperatures and high pressures, is the origin of many of water's anomalies.
title Isotope effects in supercooled H$_2$O and D$_2$O and a corresponding-states-like rescaling of the temperature and pressure
topic Chemical Physics
Other Condensed Matter
Soft Condensed Matter
url https://arxiv.org/abs/2403.08722