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- W1984335894 abstract "Abstract In this combination of review and new science, we shall look at Density Functional Theory (DFT) and the Quantum Monte Carlo (QMC) method. For DFT, we shall (i) discuss the inadequacy of the Uniform Electron Gas model for chemistry (ii) examine Generalized Gradient Approximation (GGA) exchange functionals (iii) understand that they introduce left–right correlation for molecules (iv) argue that the functionals BLYP and OLYP are parameter-free for molecules (v) look at the ‘remarkable’ performance of these local functionals in the prediction of binding energies (vii) discuss hybrid functionals, and show how they can be improved through the introduction of an Ewald partitioning of 1/r 12, already examined by Hirao, Savin and Gill (viii) show that our new functional CAM-B3LYP offers good energetics as well as good charge transfer excitation energies, already shown by Hirao. For QMC, concentrating on the Diffusion Monte Carlo approach, we shall (i) relate the trial wavefunction to the transcorrelated wavefunction, and look again at the transcorrelated method, (ii) look at the nodal surfaces of the trial wavefunction, demonstrating in particular that the use of finite basis sets in the Hartree–Fock method necessarily introduces ‘spurious’ nodal features which probably cannot be ignored, (iii) argue that, now it is possible to perform Hartree–Fock calculations with slater-type basis sets, it is straightforwardly possible to obtain orbitals which obey the exact nuclear cusp conditions, (iv) therefore argue that these basis sets should be used in Monte Carlo studies." @default.
- W1984335894 created "2016-06-24" @default.
- W1984335894 creator A5013268324 @default.
- W1984335894 date "2004-12-10" @default.
- W1984335894 modified "2023-09-27" @default.
- W1984335894 title "The molecular physics lecture 2004: (i) Density functional theory, (ii) Quantum Monte Carlo" @default.
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- W1984335894 doi "https://doi.org/10.1080/00268970412331293848" @default.
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