2005
DOI: 10.1103/physrevb.71.144202
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Configurational lattice dynamics: The phase diagram ofRhPd

Abstract: Free energies of Rh-Pd alloys as functions of both temperature and composition are calculated using quasiharmonic lattice dynamics. The free energy of the disordered solid is determined from an ensemble of a large number of randomly generated configurations. Both configurational and vibrational contributions to the entropy and enthalpy of mixing are taken into account. We study the convergence with the number of random configurations, and analyze the validity of the zero static internal stress approximation ͑Z… Show more

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Cited by 7 publications
(3 citation statements)
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“…Though presently available computational resources make it possible to minimize the static energy with respect to this set of nine coordinates, it is currently too costly to optimize the whole set of variables by carrying out fully dynamic optimizations. For several systems that include ionic solids, 27 metals, 28 and even polyethylene 29 with force field potentials, it has already been shown that the use of the zero internal stress static approximation 29 (ZSISA) is a very good approximation for the evaluation of properties such as free energies, enthalpies, entropies, heat capacities, and thermal expansion. In this approximation, only external strains are relaxed fully dynamically while internal degrees of freedom are relaxed in the static approximation.…”
Section: Theoretical Methodsmentioning
confidence: 99%
“…Though presently available computational resources make it possible to minimize the static energy with respect to this set of nine coordinates, it is currently too costly to optimize the whole set of variables by carrying out fully dynamic optimizations. For several systems that include ionic solids, 27 metals, 28 and even polyethylene 29 with force field potentials, it has already been shown that the use of the zero internal stress static approximation 29 (ZSISA) is a very good approximation for the evaluation of properties such as free energies, enthalpies, entropies, heat capacities, and thermal expansion. In this approximation, only external strains are relaxed fully dynamically while internal degrees of freedom are relaxed in the static approximation.…”
Section: Theoretical Methodsmentioning
confidence: 99%
“…In the random selection strategy, initial arrangements are chosen at random and the convergence of the ensemble average with number of optimized configurations is analysed. A few randomly chosen arrangements have been sufficient for the calculation of thermodynamic and structural properties in oxide [21], mineral [13] and alloy [23] solid solutions at high T , when a large fraction of all minima is populated. However, in order to analyse the convergence of the ensemble averages with number of configurations we must first construct an appropriate grid where we distribute the atoms for the structural optimizations.…”
Section: Strategies For Mapping the Individual Basins On The Pesmentioning
confidence: 99%
“…The XRD profile of the RhPd/CeO 2 -C catalyst shows an intense asymmetric peak with a shoulder at low d hkl values. The appearance of this peak can be ascribed to a reorganization accompanied by an increase of the crystallinity of the RhPd nanoparticles, and its asymmetry is indicative of the presence of more than one type of RhPd alloy (Rh and Pd are miscible at this temperature in a wide range [38]). A similar XRD peak is recorded for RhPd over the sample RhPd/CeO 2 -R after the reduction treatment, but with a much lower intensity, which can be explained by a smaller particle size of RhPd nanoparticles on ceria nanorods compared to that of RhPd nanoparticles on ceria nanocubes in accordance with STEM results.…”
Section: Catalytic Performancementioning
confidence: 99%