Relativistic contributions to the amplitude of electric dipole transitions in rare earth ions in crystals: I. Spin-orbit interaction

Journal of Physics B: Atomic, Molecular and Optical Physics

Volumn 32, Issue 3, 1999, Pages 593-606

  Smentek, Lidia ^a,b  

^a NICOLAUS COPERNICUS UNIVERSITY   (Poland)

^b VANDERBILT UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CRYSTALS; ELECTRON TRANSITIONS; FUNCTIONS; IONS; MATHEMATICAL OPERATORS; PERTURBATION TECHNIQUES;

ELECTRIC DIPOLE TRANSITION; SPIN-ORBIT INTERACTION;

RARE EARTH ELEMENTS;

EID: 0033077390     PISSN: 09534075     EISSN: None     Source Type: Journal    
DOI: 10.1088/0953-4075/32/3/005     Document Type: Article

References (42)

1. Pyykkö P 1988 Chem. Rev. 88 563
2. Cowan R D and Griffin D C 1976 J. Opt. Soc. Am. 66 1010
3. Martin R L 1983 J. Phys. Chem. 87 750
4. Bethe H A and Salpeter E E 1957 Quantum Mechanisms of One- and Two-Electron Atoms (Berlin: Springer)
5. Wybourne B G 1968 J. Chem. Phys. 48 2596
6. Judd B R and Pooler D R 1982 J. Phys. C Solid State Phys. 15 591 Judd B R 1993 Phys. Rev. Lett. 71 782
7. Judd B R and Pooler D R 1982 J. Phys. C Solid State Phys. 15 591 Judd B R 1993 Phys. Rev. Lett. 71 782
8. Smentek-Mielczarek L 1993 Phys. Rev Lett. 71 3891
9. Smentek L and Hess BA Jr 1996 Mol Phys 88 783
10. Downer M C and Bivas A 1983 Phys Rev. B 28 3677
11. Downer M C, Burdick G W and Sardar D K 1988 J. Chem. Phys. 89 1787
12. Burdick G W, Downer M C and Sardar D K 1988 J. Chem. Phys. 89 1787
13. Jankowski K, Smentek-Mielczarek L and Sokolowski A 1986 Mol. Phys. 59 1 165
14. Judd B R 1962 Phys. Rev 127 750 Ofelt G S 1962 J Chem. Phys. 37 511
15. Judd B R 1962 Phys. Rev 127 750 Ofelt G S 1962 J Chem. Phys. 37 511
16. Hirschfelder J O, Byers-Brown W and Epstein S T 1964 Adv. Quantum Chem. 1 255
17. Smentek L 1998 Phys. Rep. 297 155
18. Stemheimer R M 1950 Phys. Rev. 80 102 Dalgarno A and Lewis J T 1955 Proc. R. Soc. A 233 70 Dalgarno A and Stewart A L 1956 Proc. R. Soc. A 238 269
19. Stemheimer R M 1950 Phys. Rev. 80 102 Dalgarno A and Lewis J T 1955 Proc. R. Soc. A 233 70 Dalgarno A and Stewart A L 1956 Proc. R. Soc. A 238 269
20. Stemheimer R M 1950 Phys. Rev. 80 102 Dalgarno A and Lewis J T 1955 Proc. R. Soc. A 233 70 Dalgarno A and Stewart A L 1956 Proc. R. Soc. A 238 269
21. Morrison J C 1972 Phys. Rev. A 6 643 Morrison J C 1973 J. Phys. B: At Mol Phys. 6 2205
22. Morrison J C 1972 Phys. Rev. A 6 643 Morrison J C 1973 J. Phys. B: At Mol Phys. 6 2205
23. Goeppert Mayer M 1941 Phys. Rev. 60 184
24. Xue L A, Chen Y and Brook R J 1988 J. Mater. Sci. Lett. 7 1163
25. Sukhman A L and Gruverman S L 1990 Raspravy 3 124
26. Ozeki T and Yamase T 1994 Acta Crystallogr B 50 128
27. Chatterjee A, Maslen E N and Watson K J 1988 Acta Crystallogr: B 44 381
28. Wu Z, Xu Z, You X, Zhou X, Huang X and Chen J 1994 Polyhedron 13 379
29. Perihar M, Chowdhary V, Patel R B and Mehta R K 1990 Proc. Indian Natl Sci. Acad. A 56 171
30. Kvashnina O P, Kvashnina G M and Sorokina T P 1992 Fiz. Tverd. Tela 34 1306
31. Buchler J W, Elsaesser K, Kihn-Botulinski M, Scharbert B and Tansil S 1986 ACS Symp. Ser. 32 94
32. Tokiwa A, Syono Y, Oku T and Nagoshi M 1991 Physica C 185-189 619
33. Ellens A, Andres H, ter Heerdt M L H, Wegh R T, Meijerink A and Blasse G 1997 Phys Rev. B 55 180
34. Shiozaki R, lnagaki A, Ozaki A, Kominami H, Yamaguchi S, lchihara J and Kera Y 1997 J. Alloys Comp. 261 132
35. Sarma D D, Shanthi N. Barman S R and Mahadevan P 1995 Perspect. Solid State Chem. ed K J Rao (New Delhi: Narosa) p 285
36. Ellens A, Schenker S, Meijerink S and Blasse G 1997 J. Lumin. 72-74 183
37. Cheng K T and Froese Fischer C 1983 Phys. Rev. A 28 2811
38. Pyykkö P 1979 Phys Scr. 20 647
39. Edvardsson S, Wolf M and Thomas J O 1992 Phys. Rev. B 45 10918
40. Edvardsson S 1993 Molecular dynamics as a tool for calculating optical properties in rare-earth ion doped solids PhD Thesis Uppsala University
41. Wolf M, Edvardsson S, Zendejas M A and Thomas J O 1993 Phys. Rev. B 48 10 129
42. Klintenberg M 1996 Rare earth polarized absorption spectra as a structural tool PhD Thesis Uppsala University