4.7 Article

Local unitary transformation method for large-scale two-component relativistic calculations: Case for a one-electron Dirac Hamiltonian

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JOURNAL OF CHEMICAL PHYSICS
卷 136, 期 24, 页码 -

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AMER INST PHYSICS
DOI: 10.1063/1.4729463

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  1. Ministry of Education, Culture, Sports, Science and Technology (MEXT), Japan [KAKENHI 22655008, KAKENHI 23750024]
  2. Nanoscience Program in the Next Generation Super Computing Project from MEXT
  3. Global Center Of Excellence 15 (COE) Practical Chemical Wisdom from MEXT
  4. project research grant for Practical in silico chemistry for material design from the Research Institute for Science and Engineering (RISE), Waseda University
  5. Grants-in-Aid for Scientific Research [22655008, 12J07987] Funding Source: KAKEN

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An accurate and efficient scheme for two-component relativistic calculations at the spin-free infinite-order Douglas-Kroll-Hess (IODKH) level is presented. The present scheme, termed local unitary transformation (LUT), is based on the locality of the relativistic effect. Numerical assessments of the LUT scheme were performed in diatomic molecules such as HX and X-2 (X = F, Cl, Br, I, and At) and hydrogen halide clusters, (HX)(n) (X = F, Cl, Br, and I). Total energies obtained by the LUT method agree well with conventional IODKH results. The computational costs of the LUT method are drastically lower than those of conventional methods since in the former there is linear-scaling with respect to the system size and a small prefactor. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4729463]

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