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‡a(MiU)990180507440106381
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‡aD 301.45/40:274
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‡aAD 648480
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‡aAFCRL 66-692
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‡aLessin, Irving.
‡eauthor.
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‡aEnergy levels in iron-doped sapphire /
‡cIrving Lessin.
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‡aL. G. Hansom Field, Bedford, Massachusetts :
‡bAir Force Cambridge Research Laboratories, Office of Aerospace Research, United States Air Force,
‡c1966.
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‡avi, 32, [3] pages :
‡billustrations ;
‡c28 cm.
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‡atext
‡btxt
‡2rdacontent
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‡aunmediated
‡bn
‡2rdamedia
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‡aAFCRL ;
‡v66-692
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‡aPhysical Sciences Research Papers ;
‡vNo. 274
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‡a"Solid State Sciences Laboratory Project 4608."
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‡a"AD0648480 (from http://www.dtic.mil)."
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‡a"October 1966."
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‡aIncludes bibliographical references (page 32).
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‡aEnergy 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).
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‡aMode of access: Internet.
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‡aLasers.
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‡aCalculus of tensors.
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‡aMagnetic fields.
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‡aEnergy levels (Quantum mechanics)
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‡aCrystal lattices.
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‡aSapphires.
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‡aAir Force Cambridge Research Laboratories (U.S.)
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‡aTechnical Report Archive & Image Library (TRAIL)
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