Hostname: page-component-848d4c4894-xfwgj Total loading time: 0 Render date: 2024-06-29T14:12:28.886Z Has data issue: false hasContentIssue false
  • English
  • Français

The Debye Temperature of Iron-Manganese Solid Solution Alloys

Published online by Cambridge University Press:  06 March 2019

Charles P. Gazzara  and
Raymond M. Middleton
Charles P. Gazzara
Affiliation:
U.S. Army Materials Research Agency Watertown, Massachusetts
Raymond M. Middleton
Affiliation:
U.S. Army Materials Research Agency Watertown, Massachusetts
Get access

Abstract

Values of the Debye temperature 0 for iron-manganese solid-solution alloys have been determined from X-ray diffracted intensity measurements of powder specimens at ambient temperatures of 310, 239, and 98°K. Corrections to 0 were made with respect to the temperature-dependence of Θ, temperature diffuse scattering, dispersion, volume expansion of the alloy, and the temperature gradient through the specimen. The variation of Θ with temperature has been found to be approximately linear, the value of Θ decreasing 3 % between 98 and SICTK. for a nominal Fe–4%Mn alloy.

Increasing the concentration of manganese in an iron-manganese solid-solution alloy decreases Θ in qualitative agreement with Lindemann's equation. The values of Θ for other s olid-solution alloys computed using Lindemann's equation also agree with reported experimental values of Θ. The Debye temperature of a nominal Fe-3%Mn alloy annealed for 2 hr at 300, 600, and 700°C has not been found to maximize at 600°C as has been reported by Il'ina et al. On the contrary, Θ decreases with increasing annealing temperature until, in the range 600 to 700°C, it reaches its true value; and at these temperatures the powder was found to be fully annealed.

Type
Research Article
Information
Advances in X-Ray Analysis , Volume 7: Twelfth Annual Conference on Applications of X-ray Analysis, August 7-9, 1963 , 1963 , pp. 14 - 21
Copyright
Copyright © International Centre for Diffraction Data 1963

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Debye, P. J. W., “Zur Théorie der spezifischen Warme,” Ann. Physik 39: 789, 1912.Google Scholar
2. Debye, P. J. W., Verhandl. deut, physik. Ges. 15: 678, 1913.Google Scholar
3. Debye, P. J. W., The Collected Papers of Peter J. W. Debye, Interscience Publishers, Inc., New York, 1954, p. 28.Google Scholar
4. Gruneisen, E., “Die Abhängigkeit des elektrischen Widerstandes reiner Metalle von der Ternperatur,” Ann. Physik 16: 530, 1933.Google Scholar
5. Sejtz, F. and Turnbull, D., Solid State Physics, Vol. 4, Academic Press, Inc., New York, 1957, p. 304.Google Scholar
6. James, R. W., The Optical Principles of the Diffraction of X-Rays, G. Bell and Sons, Ltd., London, 1954, Chapter 5.Google Scholar
7. Shmarts, V. L., “Determination of the Recrystallization Temperature of Metals,” Fiz. Metal. i Metalloved. Arad. Nauk SSSR 5 (1): 182, 1957.Google Scholar
8. Il'ina, V. A. et al, “A Study of the Relationship between Cohesion and Crystal Structure in Metals and Solid Solutions,” The Physics of Meiah and Metallography 4: 24, 1957.Google Scholar
9. Il'ina, V. A., Kritskaya, V. K., and Kurdyumov, G. V., “Distortions in the Lattice of Deformed Metals and Solid Solutions,” Probleirty Metalloved. i Fis. Metal. 2: 222, 1951.Google Scholar
10. Lindemann, F. A., “Uber die Berechnung molekularer Eigenfreqiienzen,” Physik. Z. 2: 609, 1910.Google Scholar
11. Warren, B. E., Averbach, B. L., and Roberts, B. W., “Atomic Size Effect in the X-ray Scattering by Alloys,” J. Appl. Phys. 22: 1493, 1951.Google Scholar
12. Eorie, B., “The Separation of Short Range Order and Size Effect Diffuse Scattering,” Acta Cryst. 14: 472, 1961.Google Scholar
13. Warren, B. E., “X-ray Measurement of Grain Size,” J. Appl. Pkys. 31: 2237, 1960.Google Scholar
14. Chipman, D. R. and Paskin, A., “Contribution of Temperature Diffuse Scattering to Wings on Bragg Peaks,” J. Appl. Phys. 29: 1608, 1958.Google Scholar
15. Chipman, D. R. and Paskin, A., “Temperature Diffuse Scattering of X-Ray s in Cubic Powders, II. Corrections to Integrated Intensity Measurements,” J. Appl. Phys. 30:1998, July-December 1959.Google Scholar
16. Gazzara, C. P. and Middleton, R. M., “The Temperature-Compensated Debye Temperature of Cavbonyl Iron,” Watertown Arsenal Laboratories, WAL TR811.2/1, February 1961; also J. Appl. Pkys. 32: 1546, 1961.Google Scholar
17. Paskin, A., The Debye-Waller Factor and the Temperature Dependence of the Debye Characteristic Temperature, ASTIA Document No. 203646, 1958.Google Scholar
18. Chipman, D. R., “Temperature Dependence of the Debye Temperature of Aluminum, Lead, and Beta Brass by an X-Ray Method,” J. Appl. Phys. 31: 2012, 1960.Google Scholar
19. Gazzara, C. P., “The Debye Temperature of Carbonyl Iron,” Watertown Arsenal Laboratories, WALTRS05.2/1, May 1960; also Advances in X-Ray Analysis, Vol. 4, University of Denver, Plenum Press, New York, 1961, p. 93.Google Scholar
20. Dauben, C. H. and Templeton, D. H., “A Table of Dispersion Corrections for X-Ray Scattering of Atoms,” Acta Cryst. 8: 841, 1955.Google Scholar
21. Webb, W. W., “Atomic Displacements in Metallic Solid Solutions,“J. Appl. Phys. 33: 3546, 1962.Google Scholar
22. Troiano, A. R. and McGuire, F. T., “A Study of the Iron-Rich Iron-Manganese Alloys,” Trans. ASM 21: 340, 1943.Google Scholar
23. Herbstein, F. H., Borie, B. S., and Averbach, B. L., “Local Atomic Displacements in Solid Solutions,” Acta Cryst. 9: 466, 1956.Google Scholar