Spin-Lattice Relaxation of <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>F</mi></math></span> Centers in Alkali Halides: Theory and Optical Measurements to 50 kG

H. Panepucci; L. F. Mollenauer

doi:10.1103/PhysRev.178.589

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Spin-Lattice Relaxation of $F$ Centers in Alkali Halides: Theory and Optical Measurements to 50 kG

H. Panepucci^* and L. F. Mollenauer

Department of Physics, University of California, Berkeley, California 94720

^*Visiting Research Fellow of the Consejo Nacional de Investigaciones Cientificas y Tecnicas, Argentina.

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Phys. Rev. 178, 589 – Published 10 February, 1969

DOI: https://doi.org/10.1103/PhysRev.178.589

Abstract

We have measured the ground-state spin-lattice relaxation of $F$ centers in KBr and KI over the range of magnetic field from 0 to 50 kG, and at the temperature of 1.6°K. Essentially continuous measurement over this large field range was made possible by a detection technique in which the magnetic circular dichroism of the optical absorption band was monitored. In the range 10 to 50 kG, the relaxation rate is predominantly that of single $F$ centers. Here, the field dependence of the relaxation rate followed very closely a curve of the form $(A H^{3} + B H^{5}) coth (\frac{g β H}{2 K T})$ . The first term represents a mechanism involving phonon modulation of the hyperfine contact interaction with neighboring nuclei, and is the larger term for $H_{0} ≲ 25$ kG. The second term is due to relaxation via the Kronig-Van Vleck process. A theoretical evaluation of that part of the rate due to the hyperfine mechanism has produced close agreement with experimental results. In the evaluation, the interaction with the second shell of nuclei (halogens) was found to be of greatest importance for KBr and KI.

References (28)

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[c1] Spin-Lattice Relaxation in Ionic Solids, edited by A. A. Manenkov and R. Orbach (Harper and Row, New York, 1966)

[c2] D. W. Feldman, R. W. Warren, and J. G. Castle, Phys. Rev. 135, A470 (1964)

[c3] G. A. Noble and J. J. Markham, Bull. Am. Phys. Soc. 5, 419 (1960)

[c4] W. D. Ohlsen and D. F. Holcomb, Phys. Rev. 126, 1953 (1962)

[c5] J. Mort, F. Lüty, and F. C. Brown, Phys. Rev. 137, A566 (1965)

[c6] R. W. Warren, D. W. Feldman, and J. G. Castle, Phys. Rev. 136, A1347 (1964)

[c7] M. D. Glinchuk, V. G. Grachev, and M. F. Dergin, Fiz. Tverd. Tela 8, 3354 (1967) [English transl.: Soviet Phys.—Solid State 8, 2678 (1967)]

[c8] N. V. Karlov, J. Margerie, and Y. Merle-D'Aubigné, J. Phys. (Paris) 24, 717 (1963)

[c9] B. S. Gourary and F. J. Adrian, Phys. Rev. 105, 1180 (1957)

[c10] H. Siedel, Z. Physik 165, 218 (1961)

[c11] I. Waller, Z. Physik 79, 370 (1932)

[c12] R. de L. Kronig, Physica 6, 33 (1939)

[c13] J. H. Van Vleck, Phys. Rev. 57, 426 (1940)

[c14] M. F. Deigen and V. Ya. Zevin, Zh. Eksperim. i Teor. Fiz. 39, 1126 (1960) [English transl.: Soviet Phys.—JETP 12, 785 (1961)]

[c15] B. S. Gourary and F. J. Adrian, in Solid State Physics, edited by F. Seitz and D. Turnbull (Academic Press Inc., New York, 1960), Vol. 10, p. 246

[c16] W. E. Blumberg and T. E. Das, Phys. Rev. 110, 647 (1958)

[c17] F. Lüty and J. Mort, Phys. Rev. Letters 12, 45 (1964)

[c18] R. Romestain and J. Margerie, Compt. Rend. 258, 2525 (1964)

[c19] J. Margerie and R. Romestain, Compt. Rend. 258, 4490 (1964)

[c20] J. Gareyte and Y. Merle d'Aubigné, Compt. Rend. 258, 6393 (1964)

[c21] D. Y. Smith, Phys. Rev. 137, A574 (1965)

[c22] C. D. Jeffries, Phys. Rev. Letters 19, 1221 (1967)

[c23] L. F. Mollenauer, D. Downie, H. Engstrom, and W. B. Grant, J. Appl. Opt. (to be published)

[c24] L. F. Mollenauer, C. D. Grandt, W. B. Grant, and H. Panepucci, Rev. Sci. Instr. 39, 1958 (1968)

[c25] Van Doorn, Rev. Sci. Instr. 32, 755 (1961)

[c26] S. Sugano and Y. Tanabe, J. Phys. Soc. Japan 13, 880 (1958)

[c27] J. E. Geusic, Phys. Rev. 102, 1252 (1956)

[c28] S. Geschwind, R. J. Collins, and A. L. Schawlow, Phys. Rev. Letters 3, 545 (1959)

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Spin-Lattice Relaxation of $F$ Centers in Alkali Halides: Theory and Optical Measurements to 50 kG

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Spin-Lattice Relaxation of F Centers in Alkali Halides: Theory and Optical Measurements to 50 kG

Abstract

References (28)

Spin-Lattice Relaxation of $F$ Centers in Alkali Halides: Theory and Optical Measurements to 50 kG