Maximum probability domains from Quantum Monte Carlo calculations
β Scribed by Anthony Scemama; Michel Caffarel; Andreas Savin
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 588 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0192-8651
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β¦ Synopsis
Abstract
Although it would be tempting to associate the Lewis structures to the maxima of the squared wave function |Ξ¨|^2^, we prefer in this paper the use of domains of the threeβdimensional space, which maximize the probability of containing oppositeβspin electron pairs. We find for simple systems (CH~4~, H~2~O, Ne, N~2~, C~2~H~2~) domains comparable to those obtained with the electron localization function (ELF) or by localizing molecular orbitals. The different domains we define can overlap, and this gives an interesting physical picture of the floppiness of CH and of the symmetric hydrogen bond in FHF^β^. The presence of multiple solutions has an analogy with resonant structures, as shown in the transβbent structure of Si~2~H~2~. Correlated wave functions were used (MCSCF or SlaterβJastrow) in the Variational Quantum Monte Carlo framework. Β© 2006 Wiley Periodicals, Inc. J Comput Chem 28: 442β454, 2007
π SIMILAR VOLUMES
Variational Monte Carlo and Green's function Monte Carlo are powerful tools for calculations of properties of light nuclei using realistic two-nucleon (NN ) and three-nucleon (NNN ) potentials. Recently the GFMC method has been extended to multiple states with the same quantum numbers. The combinati
## Abstract Quantum Monte Carlo (QMC) calculations require the generation of random electronic configurations with respect to a desired probability density, usually the square of the magnitude of the wavefunction. In most cases, the Metropolis algorithm is used to generate a sequence of configurati