Download Cooperative Phenomena in Jahn - Teller Crystals by Michael D. Kaplan PDF

By Michael D. Kaplan

This quantity is the 1st special and finished account of the cooperative Jahn-Teller effect-focusing at the qualitative aspect of the phenomena. as well as overlaying all facets of this phenomena, this well-illustrated quantity contains a dialogue at the fresh breakthroughs on how the houses of high-temperature superconductors may possibly impression the cooperative Jahn-Teller impression. Researchers and scholars operating in chemistry will locate this quantity to be a useful addition to their reference assortment.

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2). This is not unexpected, because it is at once obvious from Eq. 5) that the vibronic interaction operator has the symmetry of the zeroth (without this interaction) Hamiltonian and cannot lift degeneracy. As a result, the ground state of the initial electronic term never splits. This conclusion clearly suggests the error of interpreting the JahnTeller theorem as a declaration that the necessary molecular distortion and lifting of electronic degeneracy will be achieved. In reality, electronvibration interaction in degenerate electronic states does not lift the degeneracy of the ground multiplet (it only replaces the electronic by vibronic degeneracy) and does not produce distortions (otherwise the ground multiplet would split).

Since the functions of harmonic oscillators shifted to different minima correspond to different electronic functions, the factor 'Y occurs in the matrix element of the operator L on the vibronic basis of the T 0 e problem 'Y = exp[-3EJT /2fiw] This reduction factor of the operator L is simply the overlap integral of the vibrational functions of different minima and is exponentially small for strong coupling. Operators transformed according to different irreducible representation have different nonzero matrix elements.

Owing to the cubic symmetry of the entire crystal, the tensor b'0 has the property L b'0 = const· Oij' If the valleys are energy-equivalent, then nr = nIl and the total stress er~j + erg has identical diagonal components, and the offdiagonals are equal to zero. 10. Two-valley model. The vertical arrows show the direction of strain-induced distortion of the valleys. uniformly, isotropic ally deforming the crystal, while the energy minima of the valleys remain equivalent. But if the densities of electrons in the valleys change, so that n, of nIl, the stress tensor acquires nonzero offdiagonal components, (1ij of O.

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