Spectroscopic properties of large molecules in the frenkel exciton approximation |
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| Affiliation: | 1. Gerontology Research Programme, Department of Psychological Medicine, National University of Singapore, Singapore;2. Performance and Technology Assessment, Ministry of Health, Singapore;3. St Luke''s Hospital, Singapore;4. Khoo Teck Puat Hospital, Singapore;5. Alexandra Hospital, Singapore;1. Department of Psychiatry, RenMin Hospital of Wuhan University, Wuhan 430060, China;2. Wuhan Mental Health Center, Wuhan, China;3. Department of Psychiatry, First Affiliated Hospital, Zhejiang University School of Medicine, Hangzhou, China;4. The School of Computer Science and Technology, Huazhong University of Science and Technology, Wuhan, China;5. School of Health Sciences, Wuhan University, Wuhan, China;6. Department of Psychiatry, First Affiliated Hospital of Xi''an Jiaotong University, Xi''an, China;7. Shanghai Mental Health Center, Shanghai Jiao Tong University School of Medicine, Shanghai, China;8. Peking University Sixth Hospital, Peking University Institute of Mental Health, NHC Key Laboratory of Mental Health (Peking University), National Clinical Research Center for Mental Disorders (Peking University Sixth Hospital), Beijing, China;1. School of Mechanical Engineering, Sichuan University of Science and Engineering, Yibin 644000, China;2. Key Laboratory of Brewing Biotechnology and Application of Sichuan Province, Yibin 644000, China;1. Department of Physics, University College of Engineering Nagercoil, Anna University, Nagercoil 629 004, India;2. Laboratory of X-ray Crystallography, Indian Institute of Chemical Technology, Hyderabad 500 007, India;1. The Ruppin Academic Center, Emeq Hefer 40250, Israel;2. The Hadassah Academic College, Jerusalem 91010, Israel |
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| Abstract: | ![]()
The Frenkel exciton approximation is reviewed and used to calculate the absorption and circular dichroism of large systems composed of weakly-interacting subunits. It is shown that for a system composed of very weakly interacting identical subunits, the lowest-order effect of the interactions is to produce a frequency shift Δω= (l/ħ)tr[H′A]/[A] in the absorption maximum. Here H′ is a matrix representing the interactions between the subunits, while A is an “optical matrix” constructed from the positions and transition dipole moments of the subunits. It is also shown that the total circular dichroism cross section for a band of exciton states is approximately proportional to ϱ′(ω))tr[H′B], where ϱ′(ω) is the derivative of the line-shape function and B is another type of “optical matrix”. |
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