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Energy levels diagram of rare earth ions in crystal fields (II) tetragonal crystals (D 4th , D 4 , C 4v , D 2d )
Author(s) -
Kustov E. F.,
Maketov T. K.,
Surogina V. A.,
Steczko G.
Publication year - 1980
Publication title -
kristall und technik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.377
H-Index - 64
eISSN - 1521-4079
pISSN - 0023-4753
DOI - 10.1002/crat.19800151228
Subject(s) - tetragonal crystal system , diagonal , ion , symmetry (geometry) , crystal (programming language) , diagram , matrix (chemical analysis) , chemistry , atomic physics , physics , condensed matter physics , crystal structure , crystallography , mathematics , quantum mechanics , geometry , statistics , chromatography , computer science , programming language
Using the reduction symmetry method and a system of invariants parameters the matrices of the energy stark levels for the ion Nd 3+ ( Er 3+ ) in crystal field with the tetragonal symmetry (groups D 4th , D 2 , D 2d , C 4v ) are calculated, and the new method for determining the parameters of the CF are developed by using the properties of the sum of diagonal elements and the sum of the square of all the matrix elements and without the fitting procedure.