Jahn-teller effects in metalloporphyrins and other four-fold symmetric systems

Brian M. Hoffman, Mark A Ratner

Research output: Contribution to journalArticle

40 Citations (Scopus)

Abstract

The Jahn-Teller (J-T) effect in systems of four-fold symmetry is well known to differ from that in all other point groups with respect to the nature of the J-T active normal modes of vibration. The present report addresses some previously unnoticed features which are of intrinsic importance in recognizing and understanding the unique manifestations of quadrate symmetry in both the static and dynamic Jahn-Teller effects. We first consider the nature of the static J-T potential surfaces when coupling to and strains in two modes, b1 and b2, are included in the hamiltonian.The second part of this paper is devoted to an examination of the dynamic J-T effect in four-fold systems. Utilizing both perturbation theory and numerical solution to the Schrodinger equation, we examine the spin-hamiltonian parameters for a metalloporphyrin3EU triplet state and discuss some dynamical processes, including reorientation of the system between minima, spin-lattice relaxation, and the dependences of these phenomena on the nature and magnitude of the off-diagonal terms in the hamiltonian. There emerge from this analysis several signal differences between the Jahn-Teller effect for a doubly degenerate state in four-fold systems and in the more usual cubic or tetrahedral situation.

Original languageEnglish
Pages (from-to)901-925
Number of pages25
JournalMolecular Physics
Volume35
Issue number4
DOIs
Publication statusPublished - 1978

Fingerprint

Metalloporphyrins
Jahn-Teller effect
Vibration
Hamiltonians
Schrodinger equation
Point groups
Spin-lattice relaxation
signal analysis
Signal analysis
Crystal symmetry
symmetry
spin-lattice relaxation
atomic energy levels
retraining
vibration mode
perturbation theory
examination

ASJC Scopus subject areas

  • Biophysics
  • Molecular Biology
  • Physical and Theoretical Chemistry
  • Condensed Matter Physics

Cite this

Jahn-teller effects in metalloporphyrins and other four-fold symmetric systems. / Hoffman, Brian M.; Ratner, Mark A.

In: Molecular Physics, Vol. 35, No. 4, 1978, p. 901-925.

Research output: Contribution to journalArticle

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