On the direct calculation of the free energy of quantization for molecular systems in the condensed phase
β Scribed by Daan P. Geerke; Sandra Luber; Koni H. Marti; Wilfred F. Van Gunsteren
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 320 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0192-8651
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β¦ Synopsis
Abstract
Using the path integral formalism or the FeynmanβHibbs approach, various expressions for the free energy of quantization for a molecular system in the condensed phase can be derived. These lead to alternative methods to directly compute quantization free energies from molecular dynamics computer simulations, which were investigated with an eye to their practical use. For a test system of liquid neon, two methods are shown to be most efficient for a direct evaluation of the excess free energy of quantization. One of them makes use of path integral simulations in combination with a singleβstep free energy perturbation approach and was previously reported in the literature. The other method employs a FeynmanβHibbs effective Hamiltonian together with the thermodynamic integration formalism. However, both methods are found to give less accurate results for the excess free energy of quantization than the estimate obtained from explicit path integral calculations on the excess free energy of the neon liquid in the classical and quantum mechanical limit. Suggestions are made to make both methods more accurate. Β© 2008 Wiley Periodicals, Inc. J Comput Chem 2009
π SIMILAR VOLUMES
The aqueous solvation free energies of ionized molecules were computed using a coupled quantum mechanical and molecular mechanical Ε½ . QMrMM model based on the AM1, MNDO, and PM3 semiempirical molecular orbital methods for the solute molecule and the TIP3P molecular mechanics model for liquid water.