Pressure and Temperature Dependence of the Longitudinal Deuterium Relaxation Times in Supercooled Heavy Water to 300 MPa and 188 K
Author(s) -
Lang E.,
Lüdemann H.D.
Publication year - 1980
Publication title -
berichte der bunsengesellschaft für physikalische chemie
Language(s) - English
Resource type - Journals
ISSN - 0005-9021
DOI - 10.1002/bbpc.19800840508
Subject(s) - isobar , supercooling , isobaric process , atmospheric temperature range , thermodynamics , deuterium , relaxation (psychology) , chemistry , analytical chemistry (journal) , heavy water , physics , atomic physics , chromatography , psychology , social psychology , nucleon
The longitudinal deuteron relaxation times T 1 in heavy water have been determined at 15.4 MHz in the temperature range from T = 283 K to 188 K and up to pressures of 300 MPa. Between 283 K and 200 K all isotherms exhibit pronounced maxima of T 1 in the pressure range between 150 MPa and 300 MPa. This maximum is most pronounced in the 242 K isotherm, where T 1 increases more than fourfold from 17 ms at 0.1 MPa to 73 ms at 250 MPa. The 225 MPa isobar runs at 192 K through a minimum: T 1 = 0.5 ms. Under the assumption of isotropic reorientation one derives from the minimum condition (ω 0 ·τ θ ⋍ 0.62) the deuteron quadrupole coupling constant for D 2 O to C DQC = 214 ± 12 kHz. The isobaric temperature dependence of the correlation times τθ can be described at p ≥ 200 MPa by the VTF‐equation. At p ≤ 100 MPa τθ increases faster with falling temperature than predicted by the VTF‐equation. In this range the isobars are best represented by an equation proposed by Speedy and Angell:\documentclass{article}\pagestyle{empty}\begin{document}$$\tau _{\rm{\theta }} = \tau _0 (\frac{{T - T_{\rm{S}} }}{{T_{\rm{S}} }})^{ - \nu } .$$\end{document}The determination of τθ permits an estimate of the viscosity η and the self‐diffusion coefficient D for D 2 O in the supercooled range. Around T = 190 K and p = 225 MPa one gets η ⋍ 4 Pa · s and D ⋍ 6 · 10 −9 cm 2 /s.
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