2011
DOI: 10.1016/j.cplett.2011.02.033
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A resonance theory consistent with Mulliken-population concept

Abstract: An analysis of molecular orbital wave function from the viewpoint of resonance theory is proposed. This is an extension of our previous method to treat conjugated-electron system. It enables us to calculate the weights of resonance structures being consistent with Mulliken population as well as bond order analysis. The method is successfully applied to LiH, H 2 O, butadiene and S N 2 reaction.

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Cited by 14 publications
(11 citation statements)
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“…Wiberg bond orders of O―H bonds were listed in Table . The bigger bond order, the bigger bond energy, the stronger valence bond . It could be known from Table that all the minimum bond orders were O―H bonds of carboxylic groups, so it was inferred that carboxyl lost a proton first to form [M − H] − .…”
Section: Resultsmentioning
confidence: 99%
“…Wiberg bond orders of O―H bonds were listed in Table . The bigger bond order, the bigger bond energy, the stronger valence bond . It could be known from Table that all the minimum bond orders were O―H bonds of carboxylic groups, so it was inferred that carboxyl lost a proton first to form [M − H] − .…”
Section: Resultsmentioning
confidence: 99%
“…Therefore, Equation ( 27) is equivalent to the formula utilized for the analysis of MOs by Ikeda et al [25][26][27] In a similar manner, for the four-electron system, the weight is given by,…”
Section: Formulation Of the Weight Of Nonorthogonal Ao Determinantmentioning
confidence: 99%
“…24 Ikeda et al also tried to analyze MO wave functions in terms of resonance structure utilizing second quantized operators. [25][26][27] They focused on a second quantized formalism especially for nonorthogonal AOs. [28][29][30] In the present study, we followed the second quantized operator approach, and an alternative way for the analysis of MO wave function was derived.…”
Section: Introductionmentioning
confidence: 99%
“…The present study only analyzed the influence of the Mulliken population on bond energy intensity. The Mulliken population was successfully applied to the S N 2 reaction with resonance theory by Ikeda et al [26]. When the Mulliken population of bonds is large, the covalent bond between atoms is strong; if it is small, there is minimal overlap of electronic clouds and bond covalency is weak.…”
Section: Mulliken Population Analysismentioning
confidence: 99%