## Abstract We analyze, in the Pariser–Parr–Pople (PPP) model of alternant hydrocarbons, how the charge and spin correlation functions (CF's) are related to the structure of a CI wave function and the MO's of the systems. The analysis is based on the fact that an uncorrelated electron present in an
Charge and spin correlation structures of conjugated π systems: Analysis of full CI wave functions of the PPP hamiltonian
✍ Scribed by Katsufumi Hashimoto
- Publisher
- John Wiley and Sons
- Year
- 1982
- Tongue
- English
- Weight
- 579 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0020-7608
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✦ Synopsis
Abstract
An analysis of the electronic correlation structures by means of the charge and spin correlation functions is carried out for full CI wave functions of four, five, and six membered conjugated π systems described by the Pariser–Parr–Pople Hamiltonian. The low‐lying states of these systems are classified as covalent (CV) and ionic (IN) states depending on whether the probability of finding two electrons simultaneously at the same position is small or large. It is found that many of excited CV states, the typical ones of which are the 2^1^A~g~ state of linear π systems, have stronger CV character than the ground CV state, and their spin coupling structures are different from each other as well as from that of the ground CV state. The spin coupling structure in the ground CV state has an “antiferromagnetic” spin arrangement in favor of antiparallel coupling between nearest neighbor spins while in excited CV states the extent of the antiparallel spin coupling between nearest neighbor sites is decreased. IN states, which are less common for low‐lying states than CV ones, are also found to have characteristic modulations in the charge correlation. In particular, the charge correlations in the lowest singlet IN states, 1^1^B~u~ of linear π systems, 1^1^B~2g~ of cyclobutadiene and 1^1^B~1U~ of benzene, are alternating.
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