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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/072/03/0517-0525

    • Keywords

       

      Lie algebra; vibrational spectra; Ni(OEP); Ni porphyrin; Ni(TPP).

    • Abstract

       

      One of the most interesting areas of current research in molecular physics is the study of the vibrationally excitated states of medium and large molecules. In view of the considerable amount of experimental activity in this area, one needs theoretical models within which to interpret experimental data. Using Lie algebraic method, the vibrational energy levels of nickel metalloporphyrins like Ni(OEP), Ni porphyrin and Ni(TPP) are calculated for 16 vibrational modes. The algebraic Hamiltonian $H = E_{0} + \sum_{i=1}^{n} A_{i}C_{i} + \sum_{i < j} A_{ij}C_{ij} + \sum_{i < j}^{n} \lambda_{ij}M_{ij}$, where $A_{i}$, $A_{ij}$ and $\lambda_{ij}$ are the algebraic parameters which vary from molecule to molecule and $C_{i}$, $C_{ij}$ and $M_{ij}$ are algebraic operators. The vibrational energy levels are calculated using algebraic model Hamiltonian and the results are compared with the experimental values. The results obtained by this model are very accurate.

    • Author Affiliations

       

      Srinivasa Rao Karumuri1 Joydeep Choudhury1 Nirmal Kumar Sarkar2 Ramendu Bhattacharjee1

      1. Department of Physics, Assam University, Silchar 788 011, India
      2. Department of Physics, Karimgang College, Karimgang 788 710, India
    • Dates

       
  • Pramana – Journal of Physics | News

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