Debye-Waller factors of copper, silver, and lead

C. K. Shepard; J. G. Mullen; G. Schupp

doi:10.1103/PhysRevB.61.8622

Access by Xinjiang University

Debye-Waller factors of copper, silver, and lead

C. K. Shepard^* and J. G. Mullen

G. Schupp

Purdue University, West Lafayette, Indiana 47907-1396

University of Missouri Research Reactor, Columbia, Missouri 65211

^*Present address: Southwestern Illinois College, 2500 Carlyle Ave., Belleville, IL 62221.

PDF

Phys. Rev. B 61, 8622 – Published 1 April, 2000

DOI: https://doi.org/10.1103/PhysRevB.61.8622

Abstract

Using very high intensity $(\sim 70 {C i)}^{183} Ta$ Mössbauer sources, we have measured the Debye-Waller factors (DWF’s) for the (200), (400), and (600) Bragg reflections of three fcc metals (silver, copper, and lead) as a function of temperature from near 80 K to within about 100 K of their melting temperatures. Our reexamination of earlier measurements on these metals indicated problems with data analysis, and there are serious discrepancies between the present results and those reported earlier by Day, Mullen, and Shukla. We have corrected our data for the effects of thermal expansion, in a manner similar to our earlier paper [Phys. Rev. B 57, 889 (1998)] on alkali halides and reinvestigated the anharmonic contributions to the DWF of these three metals. We have found significant $Q^{4}$ contributions to the DWF in both silver and copper, with $m_{4}$ values of $1.5 (3) \times 10^{- 13} Å^{4} / K^{3}$ and $4.1 (15) \times 10^{- 14} Å^{4} / K^{3},$ respectively.

References (18)

J. T. Day, J. G. Mullen, and R. C. Shukla, Phys. Rev. B 52, 168 (1995); John T. Day, Ph.D. thesis, Purdue University, 1994.
J. T. Day, J. G. Mullen, and R. C. Shukla, Phys. Rev. B 54, 15 548 (1996).
C. K. Shepard, J. G. Mullen, and G. Schupp, Phys. Rev. B 57, 889 (1998).
W. B. Yelon, G. Schupp, M. L. Crow, C. Holmes, and J. G. Mullen, Nucl. Instrum. Methods Phys. Res. B 14, 323 (1986).
J. G. Mullen, A. Djedid, D. Cowan, G. Schupp, M. L. Crow, Y. Cao, and W. B. Yelon, Phys. Lett. A 127, 242 (1988).
B. Bullard, J. G. Mullen, and Guy Schupp, Phys. Rev. B 43, 7405 (1991).
B. R. Bullard and J. G. Mullen, Phys. Rev. B 43, 7416 (1991).
R. A. Wagoner, B. Bullard, J. G. Mullen, and G. Schupp, Hyperfine Interact. 77, 71 (1993).
R. A. Wagoner, J. G. Mullen, and G. Schupp, Phys. Lett. B 279, 25 (1992).
R. A. Wagoner and J. G. Mullen, Phys. Rev. B 49, 12 425 (1994).
R. A. Wagoner and J. G. Mullen, Phys. Rev. B 52, 7308 (1995).
R. A. Wagoner, B. Bullard, M. May, S. Dickson, and J. G. Mullen, Hyperfine Interact. 58, 2687 (1990).
J. G. Mullen and J. R. Stevenson,Workshop on New Directions in Mössbauer Spectroscopy,Argonne, 1977, AIP Conf. Proc. No. 38, edited by G. J. Perlow (AIP, New York, 1977), p. 55.
J. G. Mullen, R. A. Wagoner, and G. Schupp, Hyperfine Interact. 83, 147 (1994).
J. G. Mullen, A. Djedid, G. Schupp, D. Cowan, Y. Cao, M. L. Crow, and W. B. Yelon, Phys. Rev. B 7, 3226 (1988).
C. J. Martin and D. A. O’Connor, Acta Crystallogr., Sect. A: Cryst. Phys., Diffr., Theor. Gen. Crystallogr. 34, 500 (1978).
G. K. White and R. B. Roberts, High Temp.-High Press. 12, 311 (1980).
Handbook of Physical Quantities (CRC Press, Boca Raton, 1997), pp. 285-288.

[c1] J. T. Day, J. G. Mullen, and R. C. Shukla, Phys. Rev. B 52, 168 (1995); John T. Day, Ph.D. thesis, Purdue University, 1994.

[c2] J. T. Day, J. G. Mullen, and R. C. Shukla, Phys. Rev. B 54, 15 548 (1996).

[c3] C. K. Shepard, J. G. Mullen, and G. Schupp, Phys. Rev. B 57, 889 (1998).

[c4] W. B. Yelon, G. Schupp, M. L. Crow, C. Holmes, and J. G. Mullen, Nucl. Instrum. Methods Phys. Res. B 14, 323 (1986).

[c5] J. G. Mullen, A. Djedid, D. Cowan, G. Schupp, M. L. Crow, Y. Cao, and W. B. Yelon, Phys. Lett. A 127, 242 (1988).

[c6] B. Bullard, J. G. Mullen, and Guy Schupp, Phys. Rev. B 43, 7405 (1991).

[c7] B. R. Bullard and J. G. Mullen, Phys. Rev. B 43, 7416 (1991).

[c8] R. A. Wagoner, B. Bullard, J. G. Mullen, and G. Schupp, Hyperfine Interact. 77, 71 (1993).

[c9] R. A. Wagoner, J. G. Mullen, and G. Schupp, Phys. Lett. B 279, 25 (1992).

[c10] R. A. Wagoner and J. G. Mullen, Phys. Rev. B 49, 12 425 (1994).

[c11] R. A. Wagoner and J. G. Mullen, Phys. Rev. B 52, 7308 (1995).

[c12] R. A. Wagoner, B. Bullard, M. May, S. Dickson, and J. G. Mullen, Hyperfine Interact. 58, 2687 (1990).

[c13] J. G. Mullen and J. R. Stevenson,Workshop on New Directions in Mössbauer Spectroscopy,Argonne, 1977, AIP Conf. Proc. No. 38, edited by G. J. Perlow (AIP, New York, 1977), p. 55.

[c14] J. G. Mullen, R. A. Wagoner, and G. Schupp, Hyperfine Interact. 83, 147 (1994).

[c15] J. G. Mullen, A. Djedid, G. Schupp, D. Cowan, Y. Cao, M. L. Crow, and W. B. Yelon, Phys. Rev. B 7, 3226 (1988).

[c16] C. J. Martin and D. A. O’Connor, Acta Crystallogr., Sect. A: Cryst. Phys., Diffr., Theor. Gen. Crystallogr. 34, 500 (1978).

[c17] G. K. White and R. B. Roberts, High Temp.-High Press. 12, 311 (1980).

[c18] Handbook of Physical Quantities (CRC Press, Boca Raton, 1997), pp. 285-288.

Physical Review B

Export citation

Export citation

Debye-Waller factors of copper, silver, and lead

Abstract

References (18)

Outline

Information

Filter

Filter

Article Lookup

Enter a citation