The Journal of Chemical Physics · 2004 · 44 citations · 47 references
Natural SciencesChemistryPhysicsComputational ChemistryComputational PhysicsQuantum ChemistryAb Initio MethodsComputational Quantum ChemistryInteratomic PotentialsMolecular Orbital TheoryMonte Carlo MethodsPotential Energy SurfacesAbsolute Free EnergyConfiguration Space AnalysisFree Energy FunctionsImportance SamplingJacobi IntegralPath Integral ApproximationPath Integral Monte CarloThermodynamic Property Tables
Accurate quantum mechanical partition functions and absolute free energies of H(2)O(2) are determined using a realistic potential energy surface [J. Koput, S. Carter, and N. C. Handy, J. Phys. Chem. A 102, 6325 (1998)] for temperatures ranging from 300 to 2,400 K by using Monte Carlo path integral calculations with new, efficient polyatomic importance sampling methods. The path centroids are sampled in Jacobi coordinates via a set of independent ziggurat schemes. The calculations employed enhanced-same-path extrapolation of trapezoidal Trotter Fourier path integrals, and the paths were constructed using fast Fourier sine transforms. Importance sampling was also used in Fourier coefficient space, and adaptively optimized stratified sampling was used in configuration space. The free energy values obtained from the path-integral calculations are compared to separable-mode approximations, to the Pitzer-Gwinn approximation, and to values in thermodynamic tables. Our calculations support the recently proposed revisions to the JANAF tables.
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Quantum Mechanics and Path Integrals
Students Quarterly Journal · 1966 · 9.7K citations · Full text
<i>An Introduction to Statistical Thermodynamics</i>
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