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The fragment molecular orbital method (FMO) is a computational method that can compute very large molecular systems with thousands of atoms using ab initio quantum-chemical wave functions. == History of FMO and related methods == The fragment molecular orbital method (FMO) was developed by K. Kitaura and coworkers in 1999. FMO is deeply interconnected with the energy decomposition analysis (EDA) by Kitaura and Morokuma, developed in 1976. The main use of FMO is to compute very large molecular systems by dividing them into fragments and performing ab initio or density functional quantum-mechanical calculations of fragments and their dimers, whereby the Coulomb field from the whole system is included. The latter feature allows fragment calculations without using caps. The mutually consistent field (MCF) method had introduced the idea of self-consistent fragment calculations in their embedding potential, which was later used with some modifications in various methods including FMO. There had been other methods related to FMO including the incremental correlation method by H. Stoll (1992).〔H. Stoll (1992), Phys. Rev. B 46, 6700〕 Also FMO bears some similarity to the method by J. Gao (1997), the applicability of which for condensed phase systems was subsequently demonstrated by carrying out a statistical mechanical Monte Carlo simulation of liquid water in 1998;〔J. Gao, (1998), "A molecular-orbital derived polarization potential for liquid water." J. Chem. Phys. 109, 2346-2354.〕 this method was later renamed as the explicit polarization (X-Pol) theory. The incremental method uses formally the same many-body expansion of properties as FMO, although the exact meaning of terms is different. The difference between X-Pol and FMO is in the approximation for estimating the pair interactions between fragments. X-Pol is closely related to the one-body expansion used in FMO (FMO1) in terms of the electrostatics, but other interactions are treated differently. Later, other methods closely related to FMO were proposed including the kernel energy method of L. Huang〔L. Huang, L. Massa, J. Karle, (2005), "Kernel energy method illustrated with peptides", Int. J. Quant. Chem 103, 808-817〕 and the electrostatically embedded many-body expansion by E. Dahlke,〔E. E. Dahlke, D. G. Truhlar (2007) "Electrostatically Embedded Many-Body Expansion for Large Systems, with Applications to Water Clusters", J. Chem. Theory Comput. 3, 46–53〕 S. Hirata〔S. Hirata, M. Valiev, M. Dupuis, S. S. Xantheas, S. Sugiki, H. Sekino, (2005) Mol. Phys. 103, 2255〕 and later M. Kamiya〔M. Kamiya, S. Hirata, M. Valiev, (2008), J. Chem. Phys. 128, 074103〕 suggested approaches also very closely related to FMO. Effective fragment molecular orbital (EFMO) method combines some features of the effective fragment potentials (EFP) and FMO. A detailed perspective on the fragment-based method development can be found in a recent review.〔M. S. Gordon, D. G. Fedorov, S. R. Pruitt, L. V. Slipchenko, (2012) "Fragmentation Methods: A Route to Accurate Calculations on Large Systems.", Chem. Rev. 112, 632-672.〕 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Fragment molecular orbital」の詳細全文を読む スポンサード リンク
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