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

By Michael D. Kaplan

This quantity is the 1st certain and entire account of the cooperative Jahn-Teller effect-focusing at the qualitative part of the phenomena. as well as masking all facets of this phenomena, this well-illustrated quantity includes a dialogue at the fresh breakthroughs on how the houses of high-temperature superconductors could 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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Extra info for Cooperative Phenomena in Jahn - Teller Crystals

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The electronic distribution described by this state is totally symmetric. B. Adiabatic potential of a system exhibiting the pseudo Jahn-Teller effect (dashed lines correspond to V = 0). 27 Q so, it corresponds to a high-symmetry nuclear configuration. , cP~ = CPo. )cp{3. The square of the representation of this function already contains the nontotally symmetric r"'l = r 0. x r {3. , the vibronic effect must now be quadratic in Q (not linear as in the case of exact degeneracy). , vibronic coupling induces the frequency effect, where the force constant of the active vibration varies: the force constant decreases in the lower electronic state E_ and increases in the excited state.

The vibronic effect must now be quadratic in Q (not linear as in the case of exact degeneracy). , vibronic coupling induces the frequency effect, where the force constant of the active vibration varies: the force constant decreases in the lower electronic state E_ and increases in the excited state. 6) indicating that the distortion-induced energy gain must exceed the initial gap between the mixed states. When b. = 0, distortion always occurs, since it corresponds to the pure Jahn-Teller situation.

Energy spectrum of the system with linear E ® e interaction for arbitrary coupling (0: == V Ee Ml/4 K;3/4n,-1/2 is dimensionless coupling constant). 7, vibronic coupling does not split what was initially the ground state, but merely shifts it. Only excited states, which have an unphysically high degeneracy owing to the application of the harmonic approximation to the vibrational subsystems, are split. The question arises as to whether the split component of any excited state having a different symmetry and a different multiplicity of degeneracy can intersect the ground vibronic multiplet.

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