Symmetry-Adaptation and Selection Rules for Effective Crystal Field Hamiltonians

1986 ◽  
pp. 493-502
Author(s):  
J. A. Tuszyński
1968 ◽  
Vol 22 (5) ◽  
pp. 438-444 ◽  
Author(s):  
J. A. Koningstein

A discussion is given of the Raman spectra of single crystals of yttrium gallium garnet (YGaG), of ytterbrium gallium garnet (YbGaG), and of Yb:YGaG. From a comparison of the spectra it has been possible to separate the phonon spectra of the host lattices from that of an electronic Raman effect which occurs between the crystal field levels of the 2F7/2 manifold of Yb3+ in the garnet crystals. Information with respect to the selection rules governing both types of spectra is given.


1985 ◽  
Vol 63 (9) ◽  
pp. 1220-1227 ◽  
Author(s):  
J. A. Tuszyński ◽  
R. Chatterjee ◽  
J. M. Dixon

Two-body double-tensor (TBDT) operators are introduced in the LS- and jj-coupling schemes following Racah's definition of irreducible tensor operators. These operators are shown to contain well-known one-body double tensors as a subset. The result of applying parity, charge conjugation, and time reversal to the TBDT operators is investigated so as to obtain selection rules for their matrix elements. On the basis of their rotation properties, these Hermitian tensor operators are shown to satisfy an SU(2) algebra, and consequently the Wigner–Eckart theorem is applied to calculate their matrix elements. The derivation of the reduced matrix elements is provided. We show some examples of interactions investigated in the literature that can be represented as TBDT operators. For one such operator, the spin-correlated crystal field, a detailed numerical evaluation of its matrix elements is given.


1971 ◽  
Vol 32 (C1) ◽  
pp. C1-847-C1-849
Author(s):  
M. P. PIETROV ◽  
H. SZYMCZAK ◽  
R. WADAS ◽  
W. WARDZYNSKI
Keyword(s):  

1979 ◽  
Vol 40 (C5) ◽  
pp. C5-180-C5-182 ◽  
Author(s):  
J. X. Boucherle ◽  
D. Givord ◽  
J. Laforest ◽  
J. Schweizer ◽  
F. Tasset

1988 ◽  
Vol 49 (C8) ◽  
pp. C8-415-C8-416 ◽  
Author(s):  
V. Šima ◽  
Z. Smetana ◽  
M. Diviš ◽  
P. Svoboda ◽  
Š. Zajac ◽  
...  
Keyword(s):  

1988 ◽  
Vol 49 (C8) ◽  
pp. C8-955-C8-956 ◽  
Author(s):  
N. P. Kolmakova ◽  
R. Z. Levitin ◽  
A. I. Popov ◽  
N. F. Vedernikov ◽  
A. K. Zvezdin ◽  
...  

2003 ◽  
Vol 40 (12) ◽  
pp. 1014-1018 ◽  
Author(s):  
Shigeki TOKITA ◽  
Yasukazu IZAWA ◽  
Hideaki NIKI ◽  
Fumiyoshi KUWASHIMA

2008 ◽  
Author(s):  
Takafumi Uemura ◽  
Masakazu Yamagishi ◽  
Yukihiro Tominari ◽  
Jun Takeya

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