50th anniversary of the Judd-Ofelt theory: An experimentalist's view of the formalism and its application

Journal of Luminescence

Volumn 136, Issue , 2013, Pages 221-239

  Hehlen, Markus P ^a   Brik, Mikhail G ^b   Krämer, Karl W ^c  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

^b UNIVERSITY OF TARTU   (Estonia)

^c UNIVERSITY OF BERN   (Switzerland)

Author keywords

4f transition intensities; Intermediate coupling wavefunctions; Judd Ofelt theory; Lifetimes and branching ratios; Rare earth spectroscopy

Indexed keywords

4F ELECTRONIC STATE; BASIC CONCEPTS; BRANCHING RATIO; FLUORESCENT MARKERS; INTERMEDIATE COUPLING; OPTICAL SPECTROSCOPY; ORIGINAL MODEL; PRACTICAL PROBLEMS; RARE EARTH DOPED MATERIALS; SOLID STATE LIGHTING; TRANSITION INTENSITY; UP-CONVERSION;

ERBIUM; LIGHT AMPLIFIERS; POSITIVE IONS; SOLID STATE LASERS;

JUDD-OFELT THEORY;

EID: 84871723364     PISSN: 00222313     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jlumin.2012.10.035     Document Type: Article

References (189)

1. B.R. Judd Phys. Rev. 127 1962 750
2. G.S. Ofelt J. Chem. Phys. 37 1962 511
3. B.R. Judd Mol. Phys. 101 2003 885
4. B.R. Judd Curr. Contents 1984 20
5. J. Hoogschagen De Absorptiespectra van de Zeldzame Aarden 1947 Noord-Hollandsche Uitgevers Maatschappij Amsterdam
6. J. Hoogschagen, and C.J. Gorter Physica 14 1948 197
7. J.H. van Vleck J. Phys. Chem. 41 1937 67
8. J.H. van Vleck The Theory of Electric and Magnetic Susceptibilities 1932 Oxford University Press London
9. B.G. Wybourne J. Chem. Phys. 32 1960 639
10. B.G. Wybourne J. Chem. Phys. 34 1961 279
11. J.D. Axe J. Chem. Phys. 39 1963 1154
12. B.R. Judd Operator Techniques in Atomic Spectroscopy 1963 McGraw-Hill Book Company New York
13. M.J. Weber Phys. Rev. 157 1967 262
14. W.F. Krupke, and J.B. Gruber Phys. Rev. 139 1965 A2008
15. W.F. Krupke Phys. Rev. 145 1966 325
16. C. Görller-Walrand, and K. Binnemans Spectral intensities of f-f transitions K.A. Gschneidner Jr. L. Eyring, Handbook on the Physics and Chemistry of Rare Earths 25 1998 North-Holland Amsterdam 101
17. M.F. Reid Transition intensities Crystal Field Handbook 2000 Cambridge University Press Cambridge 190p
18. J.C. Slater Phys. Rev. 34 1929 1293
19. G. Racah Phys. Rev. 62 1942 438
20. G. Racah Phys. Rev. 63 1943 367
21. G. Racah Phys. Rev. 76 1949 1352
22. E.U. Condon, and G.H. Shortley The Theory of Atomic Spectra 1953 The University Press Cambridge
23. M. Rotenberg, R. Bivens, N. Metropolis, and J.K. Wooten Jr The 3-j and 6-j Symbols 1959 Technology Press Cambridge
24. E.P. Wigner Group Theory and Its Application to the Quantum Mechanics of Atomic Spectra 1959 Academic Press New York
25. B.G. Wybourne Spectroscopic Properties of Rare Earths 1965 Wiley New York
26. C.W. Nielsen, and G.F. Koster Spectroscopic Coefficiencts for the p, d, and f Configurations 1963 The MIT Press Cambridge
27. H.A. Kramers Proc. R Soc Acad. Amsterdam 33 1930 959
28. A. Messiah Clebsch-Gordan coefficients and 3j symbols Quantum Mechanics vol. 2 1962 North-Holland Amsterdam pp. 1054-1060
29. B.W. Shore, and D.H. Menzel Principles of Atomic Spectra 1968 Wiley New York
30. A. Messiah Racah coefficients and 6j symbols Quantum Mechanics vol. 2 1962 North-Holland Amsterdam pp. 567-569 and 1061-1066
31. C. Eckart Rev. Mod. Phys. 2 1930 305 380
32. S. Hüfner Optical Spectra of Transparent Rare Earth Compounds 1978 Academic Press New York
33. J.R. Quagliano, N.J. Cockroft, K.E. Gunde, and F.S. Richardson J. Chem. Phys. 105 1996 9812
34. M.P. Hehlen, H.U. Güdel, and J.R. Quagliano J. Chem. Phys. 101 1994 10303
35. W.T. Carnall, G.L. Goodman, K. Rajnak, and R.S. Rana J. Chem. Phys. 90 1989 3443
36. J.B. Gruber, M.E. Hills, T.H. Allik, C.K. Jayasankar, J.R. Quagliano, and F.S. Richardson Phys. Rev. B 41 1990 7999
37. J.R. Quagliano, F.S. Richardson, and M.F. Reid J. Alloys Compd. 180 1992 131
38. J.B. Gruber, J.R. Quagliano, M.F. Reid, F.S. Richardson, M.E. Hills, M.D. Seltzer, S.B. Stevens, C.A. Morrison, and T.H. Allik Phys. Rev. B 48 1993 15561
39. S.R. Lüthi, H.U. Güdel, M.P. Hehlen, and J.R. Quagliano Phys. Rev. B 57 1998 15229
40. B.R. Judd Proc. Phys. Soc. London Sect. A 69 1956 157
41. G.H. Dieke Spectra and Energy Levels of Rare Earth Ions in Crystals 1968 Interscience Publishers New York
42. W.H. Press, S.A. Teukolsky, W.T. Vetterling, and B.P. Flannery Numerical Recipes in C 1988 Cambridge University Press Cambridge
43. G. Lakshminarayana, E.M. Weis, D.J. Williams, M.P. Hehlen, in preparation.
44. G.H. Dieke, and S. Singh J. Opt. Soc. Am. 46 1956 495
45. G.H. Dieke, and L. Heroux Phys. Rev. 103 1956 1227
46. G.H. Dieke, and H.M. Crosswhite J. Opt. Soc. Am. 46 1956 885
47. S.P. Cook, and G.H. Dieke J. Chem. Phys. 27 1957 1213
48. G.H. Dieke, and L. Leopold J. Opt. Soc. Am. 47 1957 944
49. E. Carlson, and G.H. Dieke J. Chem. Phys. 29 1958 229
50. G.H. Dieke, and R. Sarup J. Chem. Phys. 29 1958 741
51. F. Varsanyi, and G.H. Dieke J. Chem. Phys. 33 1960 1616
52. H. Crosswhite, and G.H. Dieke J. Chem. Phys. 35 1961 1535
53. G.H. Dieke, H.M. Crosswhite, and B. Dunn J. Opt. Soc. Am. 51 1961 820
54. M.S. Magno, and G.H. Dieke J. Chem. Phys. 37 1962 2354
55. F. Varsanyi, and G.H. Dieke J. Chem. Phys. 36 1962 2951
56. F. Varsanyi, and G.H. Dieke J. Chem. Phys. 36 1962 835
57. J.D. Axe, and G.H. Dieke J. Chem. Phys. 37 1962 2364
58. L.G. DeShazer, and G.H. Dieke J. Chem. Phys. 38 1963 2190
59. K.S. Thomas, S. Singh, and G.H. Dieke J. Chem. Phys. 38 1963 2180
60. G.H. Dieke, and B. Pandey J. Chem. Phys. 41 1964 1952
61. J.W. Rakestra, and G.H. Dieke J. Chem. Phys. 42 1965 873
62. H.M. Crosswhite, G.H. Dieke, and W.J. Carter J. Chem. Phys. 43 1965 2047
63. N.H. Kiess, and G.H. Dieke J. Chem. Phys. 45 1966 2729
64. A.H. Piksis, G.H. Dieke, and H.M. Crosshite J. Chem. Phys. 47 1967 5083
65. G.H. Dieke, and H.M. Crosswhite Appl. Optics 2 1963 675
66. W.T. Carnall Anal. Chem. 34 1962 786
67. W.T. Carnall, R.L. McBeth, and D.M. Gruen J. Phys. Chem. 66 1962 2159
68. W.T. Carnall J. Phys. Chem. 67 1963 1206
69. W.T. Carnall, P.R. Fields, and G.E. Toogood J. Phys. Chem. 68 1964 2351
70. W.T. Carnall, and P.R. Fields Adv. Chem. Ser. 1967 86
71. W.T. Carnall, P.R. Fields, and K. Rajnak J. Chem. Phys. 49 1968 4443
72. 3, Argonne National Laboratory Report no. ANL-78-XX-95, 1978.
73. W.T. Carnall, P.R. Fields, and K. Rajnak J.Chem. Phys. 49 1968 4447
74. W.T. Carnall, P.R. Fields, and K. Rajnak J. Chem. Phys. 49 1968 4450
75. W.T. Carnall, P.R. Fields, and K. Rajnak J. Chem. Phys. 49 1968 4424
76. H.M. Crosswhite, R.L. Schwieso, and W.T. Carnall J. Chem. Phys. 50 1969 5032
77. W.T. Carnall, P.R. Fields, and R. Sarup J. Chem. Phys. 51 1969 2587
78. W.T. Carnall, P.R. Fields, J. Morrison, and R. Sarup J. Chem. Phys. 52 1970 4054
79. W.T. Carnall, P.R. Fields, and R. Sarup J. Chem. Phys. 54 1971 1476
80. W.T. Carnall, R. Sarup, and P.R. Fields J. Chem. Phys. 57 1972 43
81. W.T. Carnall, S. Siegel, J.R. Ferraro, B. Tani, and E. Gebert Inorg. Chem. 12 1973 560
82. W.T. Carnall, H. Crosswhite, H.M. Crosswhite, and J.G. Conway J. Chem. Phys. 64 1976 3582
83. K.H. Hellwege Naturwissenschaften 34 1947 225
84. A.M. Hellwege, and K.H. Hellwege Z. Phys. 130 1951 549
85. A. Friederich, K.H. Hellwege, and H. Lammermann Z. Phys. 158 1960 251
86. K.H. Hellwege, G. Hess, and H.G. Kahle Z. Phys. 159 1960 333
87. A. Friederich, K.H. Hellwege, and H. Lammermann Z. Phys. 159 1960 524
88. K.H. Hellwege, S. Hüfner, and H.G. Kahle Z. Phys. 160 1960 149
89. I. Grohmann, K.H. Hellwege, and H.G. Kahle Z. Phys. 164 1961 243
90. K.H. Hellwege, H. Lammermann, S. Hüfner, and G. Horstik Z. Phys. 165 1961 253
91. K.H. Hellwege, S. Hüfner, and D. Kuse Z. Phys. 167 1962 258
92. K.H. Hellwege, S. Hüfner, and A. Pocker Z. Phys. 172 1963 453
93. K.H. Hellwege, S. Hüfner, and H. Schmidt Z. Phys. 172 1963 460
94. K.H. Hellwege, E. Orlich, and G. Schaack Phys. Cond. Mater. 4 1965 196
95. K.H. Hellwege, S. Hüfner, M. Schinkmann, and H. Schmidt Phys. Cond. Mater. 4 1966 397
96. P. Grünberg, K.H. Hellwege, and S. Hüfner Phys. Cond. Mater. 6 1967 95
97. N. Haage, K.H. Hellwege, J. Jäger, and G. Schaack Phys. Cond. Mater. 10 1969 144
98. J. Heber, K.H. Hellwege, U. Kobler, and H. Murmann Z. Phys. 237 1970 189
99. P.S. Peijzel, A. Meijerink, R.T. Wegh, M.F. Reid, and G.W. Burdick J. Sol. State Chem. 178 2005 448
100. J.A. Nelder, and R. Mead Comput. J. 7 1965 308
101. P. Goldner, and F. Auzel J. Appl. Phys. 79 1996 7972
102. P.S. May, M.F. Reid, and F.S. Richardson Mol. Phys. 61 1987 1455
103. M.F. Reid, and F.S. Richardson J. Chem. Phys. 83 1985 3831
104. M.F. Reid, L. van Pieterson, R.T. Wegh, and A. Meijerink Phys. Rev. B 62 2000 14744
105. C.K. Jayasankar, F.S. Richardson, and M.F. Reid J. Less-Comm. Met. 148 1989 289
106. S.J. Lakshman, and S. Buddhudu J. Quant. Spectrosc. Radiat. Transfer 24 1980 251
107. A. Suresh Kumar, and S.J. Lakshman J. Less-Comm. Met. 148 1989 357
108. J. Sugar Phys. Rev. 14 1965 731
109. R. Sarup, and M.H. Crozier J. Chem. Phys. 42 1965 371
110. J. Markovsky, W. Low, and S. Yatsiv Phys. Lett. 2 1962 186
111. M.F. Reid, F.S. Richardson, and P.A. Tanner Mol. Phys. 60 1987 881
112. R.M. Hammond, M.F. Reid, and F.S. Richardson J. Less-Comm. Met. 148 1989 311
113. C.K. Jayasankar, M.F. Reid, and F.S. Richardson Phys. Status Solidi (b) 155 1989 559
114. V.V.Ravi Kanth Kumar, C.K. Jayasankar, and M.F. Reid J. Alloys Compd. 193 1993 189
115. P. Nachimuthu, and R. Jagannathan J. Am. Ceram. Soc. 82 1999 387
116. G.A. Kumar, R.E. Riman, A.A. Kaminskii, R. Praveena, C.K. Jayasankar, I.K. Bae, S.C. Chae, and Y.N. Jang Phys. Rev. B 74 2006 014306
117. E.H. Carlson, and G.H. Dieke J. Chem. Phys. 34 1961 1602
118. C.K. Jayasankar, F.S. Richardson, M.F. Reid, P. Porcher, and P. Caro Inorg. Chim. Acta 139 1987 287
119. J.B. Gruber, M.E. Hills, T.H. Allik, C.K. Jayasankar, J.R. Quagliano, and F.S. Richardson Phys. Rev. B 41 1990 7999
120. J.R. Quagliano, and F.S. Richardson J. Alloys Compd. 180 1992 131
121. J.R. Quagliano, G.W. Burdick, D.P. Glover-Fischer, and F.S. Richardson Chem. Phys. 201 1995 321
122. C.K. Jayasankar, F.S. Richardson, M.F. Reid, P. Porcher, and P. Caro Inorg. Chim. Acta 139 1987 291
123. G.W. Burdick, C.K. Jayasankar, F.S. Richardson, and M.F. Reid Phys. Rev. B 50 1994 16309
124. E. Rukmini, C.K. Jayasankar, and M.F. Reid J. Phys.: Condens. Matter 6 1994 5919
125. A. Renuka Devi, C.K. Jayasankar, and M.F. Reid Phys. Rev. B 49 1994 12551
126. J.B. Gruber, B. Zandi, and M.F. Reid Phys. Rev. B 60 1999 15643
127. K. Rajnak, and W.F. Krupke J. Chem. Phys. 46 1967 3532
128. G.H. Dieke, and B. Pandy J. Chem. Phys. 41 1964 1952
129. C.K. Jayasankar, F.S. Richardson, P.A. Tanner, and M.F. Reid Mol. Phys. 61 1987 635
130. Y.C. Ratnakaram, A. Viswanadha Reddy, and R.P.Sreekanth Chakradhar Spectrochim. Acta Pt. A 58 2002 1809
131. S.R. Lüthi, H.U. Güdel, and M.P. Hehlen J. Chem. Phys. 110 1999 12033
132. S.J. Lakshman, and Y.C. Ratnakaram J. Non-Cryst. Solids 94 1987 222
133. K.W. Krämer, H.U. Güdel, and R.N. Schwartz Phys. Rev. B 56 1997 13830
134. R. Reisfeld, G. Katz, N. Spector, C.K. Jorgensen, C. Jacoboni, and R. De Pape J. Solid State Chem 41 1982 253
135. S. Buddhudu, and F.J. Bryant J. Less-Comm. Met. 147 1989 213
136. B.M. Angelov J. Alloys Compd. 395 2005 48
137. W.F. Krupke, and J.B. Gruber J. Chem. Phys. 41 1964 1225
138. K. Rajnak, and B.G. Wybourne J. Chem. Phys. 41 1964 565
139. G.H. Dieke, and S. Singh J. Chem. Phys. 35 1961 555
140. P.A. Tanner, A. De Piante, F.S. Richardson, and M.F. Reid Mol. Phys. 60 1987 1037
141. C.K. Jayasankar, A. Renuka Devi, E. Rukmini, and M.F. Reid J. Alloys Compd. 193 1993 203
142. A. Renuka Devi, C.K. Jayasankar, and M.F. Reid J. Alloys Compd. 207/208 1994 74
143. J.B. Gruber, and J.G. Conway J. Chem. Phys. 32 1960 1531
144. E.Y. Wong, and I. Richman J. Chem. Phys. 34 1961 1182
145. B.C. Gerstein, L.D. Jennings, and F.H. Spedding J. Chem. Phys. 37 1962 1496
146. R.A. Buchanan, K.A. Wickersheim, J.J. Pearson, and G.F. Herrmann Phys. Rev. 159 1967 245
147. X. Zhou, M.F. Reid, M.D. Faucher, and P.A. Tanner J. Phys. Chem. 110 2006 14939
148. C.K. Duan, and P.A. Tanner J. Phys. Chem. A 114 2010 6055
149. P. Dorenbos, J. Andriessen, M. Marsman, and C.E. van Eijk Radiat. Eff. Defects Solids 154 2001 237
150. R.S. Quimby Active phenomena in doped halide glasses I.D. Aggarwal, G. Lu, Fluoride Glass Fibre Optics 1991 Academic Press Boston
151. S. Naguleswaran, M.F. Reid, and G. Stedman Mol. Phys. 101 2003 917
152. A. Edgar Optical properties of glasses J. Singh, Optical Properties of Condensed Matter and Applications 2006 John Wiley & Sons Chichester 159p
153. B. Henderson, and G.F. Imbusch Optical Spectroscopy of Inorganic Solids 1989 Clarendon Press Oxford
154. C.K. Duan, and M.F. Reid J. Alloys Compd. 418 2006 213
155. H.A. Lorentz The Theory of Electrons and Its Applications to the Phenomena of Light and Radiant Heat 1909 Teubner Leipzig
156. D. Toptygin J. Fluoresc. 13 2003 201
157. F.P. Schuurmans, D.N. de Lang, G.H. Wegdam, R. Sprik, and A. Langendijk Phys. Rev. Lett. 80 1998 5077
158. F.P. Schuurmans, and A. Langendijk J. Chem. Phys. 113 2000 3310
159. W. Sellmeier Ann. Phys. Chem. 219 1871 272
160. W.T. Carnall, P.R. Fields, and K. Rajnak J. Chem. Phys. 49 1968 4412
161. F. Auzel J. Alloys Compd. 380 2004 9
162. R.D. Peacock Struct. Bond. 22 1975 88
163. M.J. Weber, T.E. Varitimos, and B.H. Matsinger Phys. Rev. 8 1973 47
164. M. Malinowski, R. Wolski, and W. Wolinski Solid State Commun. 74 1990 17
165. M. Eyal, E. Greenberg, R. Reisfeld, and N. Spector Chem. Phys. Lett. 117 1985 108
166. J. McDougall, D.B. Hollis, X. Liu, and M.B. Payne Phys. Chem. Glasses 35 1994 145
167. M. Malinowski, R. Wolski, and W. Wolinski J. Lumin. 35 1986 1
168. A. Florez, A. Herrera, and M. Florez Phys. Status Solidi C 4 2007 4156
169. J. McDougall, D.B. Hollis, and M.B. Payne Phys. Chem. Glasses 35 1994 258
170. A. Florez, M.G. Brik, and O. Plata J. Mater. Sci. Mater. Electron 20 2009 S230
171. F. Auzel, S. Hubert, and P. Delamoye J. Lumin. 26 1982 251
172. A.A. Kornienko, A.A. Kaminskii, and E.B. Dunina Phys. Status Solidi (b) 157 1990 261
173. A.A. Kornienko, A.A. Kaminskii, and E.B. Dunina Phys. Status Solidi (b) 157 1990 267
174. E.B. Dunina, A.A. Kornienko, and L.A. Fomicheva Cent. Eur. J. Phys. 6 2008 407
175. J.L. Adam, and W.A. Sibley J. Non-Cryst. Solids 76 1985 267
176. V.R. Kumar, N. Veeraiah, B.A. Rao, and S. Buddhudu J. Mater. Sci. 33 1998 2659
177. D.E. Henrie, R.L. Fellows, and G.R. Choppin Coord. Chem. Rev. 18 1976 199
178. C.K. Jorgensen, and R. Reisfeld J. Less-Comm. Met. 93 1983 107
179. R. Reisfeld, and C.K. Jorgensen Excited state phenomena in vitreous materials K.A. Geschneider Jr L. Eyring, Handbook on the Physics and Chemistry of Rare Earths vol. 9 1987 North-Holland Amsterdam 1p
180. S. Tanabe, T. Ohyagi, S. Todoroki, T. Hanada, and N. Soga J. Appl. Phys. 73 1993 8451
181. S. Tanabe, T. Hanada, T. Ohyagi, and N. Soga Phys. Rev. B 48 1993 10591
182. M.J. Weber, R.A. Saroyan, and R.C. Ropp J. Non-Cryst. Solids 44 1981 137
183. T. Izumitani, H. Toratani, and H. Kuroda J. Non-Cryst. Solids 47 1982 87
184. S. Tanabe, T. Ohyagi, N. Soga, and T. Hanada Phys. Rev. B 46 1992 3305
185. Y. Nageno, H. Takebe, K. Morinaga, and T. Izumitani J. Non-Cryst. Sol. 169 1994 288
186. Y. Nageno, H. Takebe, and K. Morinaga J. Am. Chem. Soc. 76 1993 3081
187. D.J. Singh Phys. Rev. B 82 2010 155145
188. J. Murphy, H.H. Caspers, and R.A. Buchanan J. Chem. Phys. 40 1964 743
189. J.F. van Dijk, and M.H. Schuurmans J. Chem. Phys. 78 1983 5317