2009
DOI: 10.1002/qua.22069
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Review of multicomponent molecular orbital method for direct treatment of nuclear quantum effect

Abstract: ABSTRACT:We present the methodology and applications of multicomponent molecular orbital (MC_MO) method, which can take into account of the quantum effect of light particles, such as proton and deuteron, directly. We summarize the equations of the MC_MO method at the Hartree-Fock (HF) level and beyond the HF. The methodology of the MC_MO with fragment molecular orbital (FMO) method for large molecular systems is also described. We discuss the development of nuclear basis function based on the GTF, which is use… Show more

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Cited by 101 publications
(84 citation statements)
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References 176 publications
(242 reference statements)
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“…Bond lengths for C-H and C-D were slightly deferent by almost 4 pm. 39,40) In Eq. 2, measurements of T 1 's in D 2 O allowed us to ignore contribution from the hydroxyl protons.…”
Section: Resultsmentioning
confidence: 99%
“…Bond lengths for C-H and C-D were slightly deferent by almost 4 pm. 39,40) In Eq. 2, measurements of T 1 's in D 2 O allowed us to ignore contribution from the hydroxyl protons.…”
Section: Resultsmentioning
confidence: 99%
“…First, we would like to introduce the MC_MO method briefly. More detailed information of MC_MO method is published elsewhere . The total Hamiltonian for a system containing N e ‐electrons, M ‐classical nuclei, and N p ‐quantum nuclei used in MC_MO method is expressed as Htot=140%truei=1Ne(12i2140%trueμ=1MZμriμ)+140%truei>jNe1rij+140%trueμ>νMZμZνrμν+140%truep=1Np(12Mpp2+140%trueμ=1MZpZμrpμ)+140%truep>qNpZpZqrpq140%truei=1Ne140%truep=1NpZprip, where the i and j indices refer to the electrons, p and q to the quantum nuclei, μ and ν to the classical nuclei, N e and N p the number of the electrons and quantum nuclei, and M is the number of the classical nuclei.…”
Section: Methodsmentioning
confidence: 99%
“…Several other approaches avoid the use of Born-Oppenheimer states altogether and show promise for treating highly electronically excited or nonadiabatic electronic and nuclear dynamics [11,12]. In a similar context, ionization has been included in a variational treatment that explicitly includes electron-nuclear correlation [13] and has also been treated with coupled electronic and semiclassical nuclear wave packets [14].…”
Section: Introductionmentioning
confidence: 99%