Energy levels in iron-doped sapphire /
Irving Lessin.

Description

Main Author

Lessin, Irving.

Related Names

Air Force Cambridge Research Laboratories (U.S.)

Language(s)

English

Published

L. G. Hansom Field, Bedford, Massachusetts : Air Force Cambridge Research Laboratories, Office of Aerospace Research, United States Air Force, 1966.

Subjects

Lasers.
Calculus of tensors.
Magnetic fields.
Energy levels (Quantum mechanics)
Crystal lattices.
Sapphires.

Summary

Energy levels of the ferric ion in a sapphire lattice are machine-calculated as a function of applied magnetic field and polar and azimuthal angles. The levels are derived for a spin 5/2 system, wherein the Spin Hamiltonian contains one coordinate system pertaining to the cubic system and another for a trigonal system. Use is made of the rotation matrix and a set of functions belonging to an irreducible tensor operator of rank L = 4 to transform the cubic part of the Spin Hamiltonian operator into the trigonal frame of reference, and matrix elements are then calculated. As a check, the matrix elements of the cubic operator are first calculated in the cubic system, and then transformed into the trigonal system. In this connection, a table of the matrix elements of the rotation operator d(5/2) (Beta) is presented, as well as some of the matrix elements of d(4) (Beta) used in the first approach. (Author).

Note

"Solid State Sciences Laboratory Project 4608."
"AD0648480 (from http://www.dtic.mil)."
"October 1966."

Physical Description

vi, 32, [3] pages : illustrations ; 28 cm.

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