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The P – V – T equation of state of D 2 O ice VI determined by neutron powder diffraction in the range 0 < P < 2.6 GPa and 120 < T < 330 K, and the isothermal equation of state of D 2 O ice VII from 2 to 7 GPa at room temperature
Author(s) -
Fortes A. D.,
Wood I. G.,
Tucker M. G.,
Marshall W. G.
Publication year - 2012
Publication title -
journal of applied crystallography
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.429
H-Index - 162
ISSN - 1600-5767
DOI - 10.1107/s0021889812014847
Subject(s) - equation of state , bulk modulus , chemistry , neutron diffraction , thermodynamics , enthalpy , crystallography , atmospheric temperature range , metastability , powder diffraction , physics , crystal structure , organic chemistry
Neutron powder diffraction data have been collected from deuterated ice VI (space group P 4 2 / nmc , Z = 10) at 76 state points in its field of thermodynamic stability above 150 K (approximately 0.6 < P < 2.1 GPa) and in a region of metastable persistence below 150 K (0 < P < 2.6 GPa). The refined unit‐cell parameters and unit‐cell volume have been fitted with six‐parameter functions based upon a Murnaghan equation of state (EoS), with simple polynomial expressions to describe the temperature dependence of the volume (or axis length) and the bulk modulus (or axial incompressibility). This P – V – T EoS is compared with earlier empirically derived and computationally obtained equations of state, and with the elastic properties determined by ultrasonic or Brillouin scattering methods. It is found that D 2 O ice VI is ∼5% stiffer ( i.e. it has a larger bulk modulus, K , at a given P and T ) than H 2 O ice VI, in agreement with unpublished c ij /ρ data for D 2 O ice VI provided by the Shimizu Laboratory, Gifu University, Japan (S. Sasaki, personal communication). This difference is due entirely to a greater incompressibility parallel to the a axis than for the protonated isotopologue; the incompressibilities of the c axis for both H 2 O and D 2 O ice VI are very similar. The P – V – T EoS is used to estimate the volume change and enthalpy of melting. Additional data on the isothermal compression of ices II and V at 240 K (0.2–0.4 and 0.4–0.7 GPa, respectively), and of ice VII at 295–300 K (2–7 GPa), are also reported and compared with earlier literature data.