The generalization of the extended Stevens operators to higher ranks and spins, and a systematic review of the tables of the tensor operators and their matrix elements

Journal of Physics Condensed Matter

Volumn 16, Issue 32, 2004, Pages 5825-5847

  Rudowicz, C ^a   Chung, C Y ^a  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTROMAGNETIC WAVES; MATHEMATICAL OPERATORS; MATRIX ALGEBRA; SPECTROSCOPIC ANALYSIS;

MATRIX ELEMENTS (ME); OPTICAL SPECTROSCOPY; TENSOR OPERATORS (TO);

TENSORS;

EID: 4344675589     PISSN: 09538984     EISSN: None     Source Type: Journal    
DOI: 10.1088/0953-8984/16/32/018     Document Type: Conference Paper

References (84)

1. Abragam A and Bleaney B 1970 Electron Paramagnetic Resonance of Transition Ions (Oxford: Oxford University Press) [A/B(E1)]
2. Abragam A and Bleaney B 1973 Electron Paramagnetic Resonance of Transition Ions vol 2 (Moscow: Mir) (in Russian) [A/B(R)]
3. Abragam A and Bleaney B 1986 Electron Paramagnetic Resonance of Transition Ions (New York: Dover) [A/B(E2)]
4. Allard P and Hard T 2001 J. Magn. Reson. 153 15
5. Altshuler S and Kozyrev B M 1972 Electron Paramagnetic Resonance in Compounds of Transition Elements (Moscow: Nauka) (in Russian) [A/K(R)]
6. Altshuler S and Kozyrev B M 1974 Electron Paramagnetic Resonance in Compounds of Transition Elements (New York: Wiley) [A/K(E)]
7. Barra A-L, Brunel L-C, Gatteschi D, Pardi L and Sessoli R 1998 Acc. Chem. Res. 31 460
8. Birgeneau R J 1967 Can. J. Phys. 45 3761
9. Buckmaster H A 1962 Can. J. Phys. 40 1670
10. Buckmaster H A 1964 Can. J. Phys. 42 386
11. Buckmaster H A 1966 Can. J. Phys. 44 2525
12. Buckmaster H A and Chatterjee R 1998 Phys. Status Solidi b 209 433
13. Buckmaster H A, Chatterjee R and Shing Y H 1972 Phys. Status Solidi a 13 9
14. lm (J) [l = 0-7) and their matrix elements for J = 0 → 8(1/2) useful in the interpretation of electron paramagnetic resonance spectra, unpublished
15. Chung C Y 2003 Computer simulations for EPR studies of high-spin complexes at low symmetry MPhil Thesis City University of Hong Kong
16. Chung T C Y and Rudowicz C 2000 On the truncated spin Hamiltonians used in EMR and magnetism studies - example: Mn12 S = 10 complex 42nd Rocky Mountain Conf. - 23rd Int. EPR Symp. Conf. (Denver, USA, July 2000)
17. Danielsen O 1973 Quantum mechanical operator equivalents and magnetic anisotropy of the heavy rare earth metals Risö Report No 295, Denmark
18. Danielsen O and Lindgård P A 1972 Quantum mechanical operator equivalents used in the theory of magnetism Risö Report No 259, Denmark
19. Galeev A and Rudowicz C 1999 unpublished
20. Glerup J and Weihe H 1991 Acta Chem. Scand. 45 444
21. Heine V 1993 Group Theory in Quantum Mechanics - An Introduction to its Present Usage (New York: Dover)
22. Hoffmann P 1990 J. Phys. A: Math. Gen. 24 35
23. Hùtchings M T 1965 Proc. Phys. Soc. 85 397
24. Jacobsen C J H, Pedersen E, Villadsen J and Weihe H 1993 Inorg. Chem. 32 1216
25. Kibler M 1980 J. Math. Phys. 21 422
26. Koster G F and Statz H 1959 Phys. Rev. 113 445
27. Lindgård P A 1975 J. Phys. C: Solid State Phys. 8 3401
28. Lindgård P A and Danielsen O 1974 J. Phys. C: Solid State Phys. 7 1523
29. Lipiński S 1999 J. Magn. Magn. Mater. 192 553
30. Mabbs F E and Collison D 1992 Electron Paramagnetic Resonance of d Transition-Metal Compounds (Amsterdam: Elsevier)
31. Marshall S A, Marshall T and Buckmaster H A 1988 Magn. Reson. Rev. 14 81
32. McGavin D G, Mombourquette M J and Weil J A 1993 Operating Instructions For Computer Program EPR.FOR (version 5.13) Department of Chemistry, University of Saskatchewan, Saskatoon, Saskatchewan, Canada, S7N 0W0
33. McGavin D G, Tennant W C and Weil J A 1990 J. Magn. Reson. 87 92
34. Misra S K 1999a Handbook of Electron Spin Resonance vol 2, ed C P Poole Jr and H A Farach (New York: AIP) chapter VI
35. Misra S K 1999b Handbook of Electron Spin Resonance vol 2, ed C P Poole Jr and H A Farach (New York: AIP) chapter VII
36. Misra S K 1999c Handbook of Electron Spin Resonance vol 2, ed C P Poole Jr and H A Farach (New York: AIP) chapter VIII
37. Misra S K 1999d Handbook of Electron Spin Resonance vol 2, ed C P Poole Jr and H A Farach (New York: AIP) chapter IX
38. Misra S K, Andronenko S I, Rinaldi G, Chand P, Earle K A and Freed J H 2003 J. Magn. Reson. 160 131
39. Misra S K, Poole C P and Farach H A 1996 Appl. Magn. Reson. 11 29
40. Mombourquette M J, Weil J A and McGavin D G 1995 Operating Instructions For Computer Program EPR-NMR (version 6.0) Department of Chemistry, University of Saskatchewan, Saskatoon, Saskatchewan, Canada, S7N 0W0
41. Mossin S, Stefan M, ter Heerdt P, Bouwen A, Goovaerts E and Weihe H 2001 Appl. Magn. Reson. 21 587
42. Mulak J and Gajek Z 2000 The Effective Crystal Field Potential (Amsterdam: Elsevier)
43. Nettar D 1984 Powder EPR Spectrum Simulation unpublished
44. Newman D J and Ng B 1989 Rep. Prog. Phys. 52 699
45. Newman D J and Ng B (ed) 2000 Crystal Field Handbook (Cambridge: Cambridge University Press)
46. Newman D J and Urban W 1975 Adv. Phys. 24 793
47. Orbach R 1961 Proc. R. Soc. A 264 458
48. Ozier I 1974 J. Mol. Spectrosc. 53 336
49. Pilbrow J R 1990 Transition-Ion Electron Paramagnetic Resonance (Oxford: Clarendon)
50. Racah G 1942a Phys. Rev. 61 186
51. Racah G 1942b Phys. Rev. 62 438
52. Racah G 1942c Phys. Rev. 63 367
53. Rudowicz C 1985a. J. Phys. C: Solid State Phys. 18 1415
54. Rudowicz C 1985b J. Phys. C: Solid State Phys. 18 3837 (erratum)
55. Rudowicz C 1987a Magn. Reson. Rev. 13 1
56. Rudowicz C 1987b J. Phys. C: Solid State Phys. 20 6033
57. Rudowicz C 1988 Magn. Reson. Rev. 13 335 (erratum)
58. Rudowicz C 2000 J. Phys.: Condens. Matter 12 L417
59. Rudowicz C 2002 EPR in the 21st Century: Basics and Applications to Material, Life and Earth Sciences ed A Kawamori, J Yamauchi and H Ohta (Amsterdam: Elsevier) pp 3-14
60. Rudowicz C 2003a Appl. Magn. Reson. 24 483
61. Rudowicz C 2003b Current status of the proposals for unification of notations and guidelines for data presentation in the EMR area: blueprint for future actions (http://arxiv.org/list/condmat/0304101)
62. Rudowicz C 2003c Comment on 'The Analysis of EPR Spectra Using Tesseral Tensor Angular Momentum Operators' by H A Buckmaster and R Chatterjee (http://arxiv.org/list/condmat/0304097)
63. Rudowicz C, Akhmadulline I and Madhu S B 1997 Manual for the computer package CST for conversions, standardization and transformations of the spin Hamiltonian and the crystal-field Hamiltonian Research Report AP-97-12 Dept. Phys. and Mat. Sci., City University of Hong Kong
64. Rudowicz C and Misra S K 2001 Appl. Spectrosc. Rev. 36 11
65. Rudowicz C and Sung H W F 2001 Physica B 300 1
66. Ryabov I D 1999 J. Magn. Reson. 140 141
67. Ryabov I D 2001 private communication
68. Sessoli R and Gatteschi D 2003 Angew. Chem. Int. Edn Engl. 42 268
69. Shimokoshi M and Ohi K 1990 J. Phys. Soc. Japan 59 3629
70. Silver B L 1976 Irreducible Tensor Methods - An Introduction for Chemists (New York: Academic)
71. Smith D and Thornley J H M 1966 Proc. Phys. Soc. 89 779
72. Stevens K W H 1952 Proc. Phys. Soc. 65 209
73. Stevens K W H 1997 Magnetic Ions in Crystals (Princeton, NJ: Princeton University Press)
74. Stoll S 2003a EasySpin: An EPR Toolbox for Matlab - version 1.2 available from the website: http://www.esr.ethz.ch/EasySpin/download.html
75. Stoll S 2003b private communication
76. Siu W K 1994 Simulation of electron paramagnetic resonance (EPR) transitions and magnetic susceptibility for iron group ions at low symmetry sites MPhil Thesis City University of Hong Kong
77. 3+ with spin 5 = 242nd Rocky Mountain Conf. - 23rd Int. EPR Symp. Conf. (Denver, USA, July 2000)
78. Tennant W C 1999 private communication
79. Tennant W C, Walsby C J, Claridge R F C and McGavin D G 2000 J. Phys.: Condens. Matter 12 9481
80. Tuszynski J A 1990 Spherical Tensor Operators - Tables of Matrix Elements and Symmetries (Singapore: World Scientific)
81. Wang D and Hanson G R 1995 J. Magn. Reson. A 117 1
82. Weihe H 2004 Simulation software SIM available from the www page: http://sophus.kiku.dk/software/EPR/EPR.html
83. Weil J A, Bolton J R and Wertz J E 1994 Electron Paramagnetic Resonance - Elementary Theory and Practical Applications (New York: Wiley)
84. Weiler M H and Wylie D W 1965 Proc. Phys. Soc. 85 608