Angular Momentum Theory Applied to Interactions in Solids

Name: Angular Momentum Theory Applied to Interactions in Solids
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 9783540189909
Price: 215.44 PLN
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Autor: Clyde A. Morrison

Język:

Oprawa: Miękka

Wydawca: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Dostępność: Dostępna u dostawcy

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This book discusses those concepts of group theory that are applied to the spectra of impurity ion i...

Informacje o książce

Autor

Clyde A. Morrison

Język

Angielski

Oprawa

Książka - Miękka

strony

161

EAN

9783540189909

ISBN

3540189904

Enbook ID

02301843

Wydawca

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Waga

332

Wymiary

170 x 244 x 10

Pełny opis

This book discusses those concepts of group theory that are applied to the spectra of impurity ion in crystals. Beginning with the simple hydrogen atom, spectroscopic notation and angular momentum operators are discussed. This is followed by a general discussion of angular momentum theory including Clebsch-Gordan coefficients, the Wigner-Eckart theorem, unit spherical tensors, and Racah coefficients. The extension of these techniques to the electronic configuration, nlN, for N equivalent electrons is discussed. The theory of point groups as applied to ions in solids is introduced, along with the use of the International Tables of Crystallography and character tables. The phenomenological theory of crystal fields is discussed in some detail along with the so-called free-ion parameters characterizing the Coulomb interaction, the spin-orbit interaction, and the interconfiguration interaction. The use of tables of 3-j and 6-j symbols used in the calculation of the matrix elements of the various interactions is presented, along with other tables and aids in the computation of the energy levels. The point ion model of crystal-field interaction is discussed with particular emphasis on recent work done on its development. The earlier work was applied to triply ionized rare-earth ions (4fN electronic configurations), and extensions of the point ion model are applied to the transition metal ions with the electronic configurations ndN (n=3, 4, and 5).

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