Trigonal Crystal-Field Energy Levels of Sm^{3+} in CaF_{2} (Type 1)
JOSA, Vol. 59, Issue 5, pp. 588-590 (1969)
http://dx.doi.org/10.1364/JOSA.59.000588
Acrobat PDF (479 KB)
Abstract
Approximate first-order trigonal crystal-field-split energy levels are derived and fitted theoretically for the Sm^{3+}-in-CaF_{2} (Type I) ^{6}H_{7/2}, ^{6}H_{9/2}, and ^{6}H_{11/2} states of the ground multiplet involved in fluorescence. Crystal-field theory and the Stevens method are employed in this derivation. The resulting energy deviation between the first-order theoretical levels and the empirically derived levels is within 42 cm^{-1} for 14 of the 15 levels involved under the assumption of a constancy of the six trigonal crystal-field parameters. Tables are given of the resulting approximate values of the crystal-field parameters, level energies, and eigenfunctions.
Citation
NORMAN RABBINER, "Trigonal Crystal-Field Energy Levels of Sm^{3+} in CaF_{2} (Type 1)," J. Opt. Soc. Am. 59, 588-590 (1969)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-59-5-588
Sort: Journal | Reset
References
- For example see: M. J. Weber and R. W. Bierig, Phys. Rev. 134A, 1492 (1964) and the references therein.
- I. V. Stepanov and P. P. Feofilov, Dokl. Akad. Nauk. SSSR 1, 350 (1957).
- N. Rabbiner, Phys. Rev. 130, 502 (1963).
- T. F. Ewanizky, P. J. Caplan, and J. R. Pastore, J. Chem. Phys. 43, 4351 (1965).
- K. Muto and K. Awazu, J. Phys. Chem. Solids 29, 1269 (1968).
- K. W. H. Stevens, Proc. Phys. Soc. (London) A65, 209 (1952).
- N. Rabbiner, J. Opt. Soc. Am. 57, 217, 1376 (1967); Ph.D. thesis, New York University (1967), available from University Microfilms, Ann Arbor, Michigan.
- See M. T. Hutchings, Solid State Phys. 16, 227 (1964) and references therein.
- The crystal-field parameters (A's) are related to the parametres of the crystal field (B's) by the equations: B_{n}^{m} = η_{n}A_{n}^{m}〈r^{n}〉 where η_{n} are the operator-equivalent factors.^{6}
- Recently, Muto and Awazu^{5} have investigated the CaF_{2}: Sm^{3+} fluorescent spectra. The number of lines observed for the Type I spectra was less than the number we have reported,^{3} which may have been due to intensities too weak to disclose the weaker lines. The frequencies of the lines observed5 agreed well with those of the stronger lines we observed.^{3} Muto amd Awazu^{5} considered the possibility that this Type I, CaF_{2}: Sm^{3+} spectra arises from transitions between the ^{4}F_{5/2} and^{6}H_{5/2}, ^{6}H_{7/2}, ^{6}H_{9/2} states of Sm^{3+}. However, even assuming that the weaker lines which we reported^{3} and Muto and Awazu^{5} did not observe can be neglected, the remaining strong lines do not fit into an empirical-energy-level scheme for C_{3} symmetry between these states; i.e., some lines observed can not be included in such a scheme although the total number of such strong lines observed^{5} is less than that theoretically permissible. Thus, there apparently is not much support for a possible assumption of ^{4}F_{5/2} as the fluorescent upper state for the Type I crystal.
Cited By |
Alert me when this paper is cited |
OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.
« Previous Article | Next Article »
OSA is a member of CrossRef.