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American Chemical Society, Journal of Physical Chemistry B (Soft Condensed Matter and Biophysical Chemistry), 51(109), p. 24473-24479, 2005

DOI: 10.1021/jp054304p

Wiley-VCH Verlag, ChemInform, 10(37), 2006

DOI: 10.1002/chin.200610016

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A Molecular Dynamics Study of the Thermodynamic Properties of Calcium Apatites. 1. Hexagonal Phases

This paper is available in a repository.
This paper is available in a repository.

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Abstract

Structural and thermodynamic properties of crystal hexagonal calcium apatites, Ca 10 (PO 4) 6 (X) 2 (X) OH, F, Cl, Br), were investigated using an all-atom Born-Huggins-Mayer potential by a molecular dynamics technique. The accuracy of the model at room temperature and atmospheric pressure was checked against crystal structural data, with maximum deviations of ca. 4% for the haloapatites and 8% for hydroxyapatite. The standard molar lattice enthalpy, ∆ lat H 298 °, of the apatites was calculated and compared with previously published experimental results, the agreement being better than 2%. The molar heat capacity at constant pressure, C p,m , in the range 298-1298 K, was estimated from the plot of the molar enthalpy of the crystal as a function of temperature, H m) (H m,298 -298C p,m) + C p,m T, yielding C p,m) 694 (68 J‚mol -1 ‚K -1 , C p,m) 646 (26 J‚mol -1 ‚K -1 , C p,m) 530 (34 J‚mol -1 ‚K -1 , and C p,m) 811 (42 J‚mol -1 ‚K -1 for hydroxy-, fluor-, chlor-, and bromapatite, respectively. High-pressure simulation runs, in the range 0.5-75 kbar, were performed in order to estimate the isothermal compressibility coefficient, κ T , of those compounds. The deformation of the compressed solids is always elastically anisotropic, with BrAp exhibiting a markedly different behavior from those displayed by HOAp and ClAp. High-pressure p-V data were fitted to the Parsafar-Mason equation of state with an accuracy better than 1%.