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Lattice Constant and Crystallite Size of Condensed Gold Vapor

Published online by Cambridge University Press:  06 March 2019

Frank G. Karioris ,
Jerome J. Woyci  and
Richard R. Buckrey
Frank G. Karioris
Affiliation:
Marquette University Milwaukee, Wisconsin
Jerome J. Woyci
Affiliation:
Allen Bradley Company Milwaukee, Wisconsin
Richard R. Buckrey
Affiliation:
Wayne State University Detroit, Michigan
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Abstract

Gold wires were vaporized by the exploding-wire phenomenon using a 20 μF capacitor bank charged to voltages up to 14 kV. The resulting condensate, an aerosol or metallic smoke, was collected on membrane filters and subjected to X-ray analysis to determine lattice constant, crystallite size, and behavior with isothermal annealing. Wire explosions were conducted in au ambient atmosphere of ait or nitrogen at barometric pressure. It is estimated that the quench rate for this material is of the order of 108 deg/sec from the melting point although no substrate is involved and it is expected that any effects of epitaxial origin on the structure would be minimized.

Before annealing, diffractograms showed broad peaks apparently shifted to the high-angle side. Line breadth may be attributed primarily to particle size broadening, since ft correlates well with size determined by electron microscopy, (β cos θ) is linear with θ, and [(β cos θ)/λ] is approximately constant for three radiations used. Crystallite size is of the order of 400 Å and is observed to decrease roughly with increasing voltage used for vaporization. The observed lattice decrement, approximately 0.2%, generally increases with voltage used for vaporization, and apparently correlates rather well with the inverse of sise as has been reported in some work on thin gold films. However, studies of colloidal gold particles do not show significant lattice shifts, although the particle size is less than 100 Å so that the decrements observed may be due to factors other than size alone. For this black, particulate material, some lattice decrement apparently persists even after protracted isothermal annealing below the melting point. Crystallite size increases with annealing but remains below about 1000 Å. Results suggest that the lattice decrements observed in condensed gold vapor are due to surface tension effects and the presence of vacancy aggregates.

Type
Research Article
Information
Advances in X-Ray Analysis , Volume 10: Fifteenth Annual Conference on Applications of X-ray Analysis, August 10-12, 1966 , 1966 , pp. 250 - 264
Copyright
Copyright © International Centre for Diffraction Data 1966

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References

1. Chace, W. G. and Watson, E. M., A Bibliography of the Electrically Exploded Conductor Phenomenon, Air Force Cambridge Research Laboratories, AFCRL-62-10S3, L. G. Hanscom Field, Mass., 1962.Google Scholar
2. Chaee, W. G. and Watson, E. M., A Bibliography of the Electrically Exploded Conductor Phenomenon, Supplement No. 1, Air Force Cambridge Research Laboratories, AFCRL-65- 384, L. G. Hanscom Field, Mass., 1965.Google Scholar
3. Chace, W. G. and Cullington, E. H., Instrumentation for Studies of the Exploding Wire Phenomenon, Air Force Cambridge Research Center, Technical Report 57-235, ASTIA Document No. AD-133842.Google Scholar
4. Chace, W. G. and Moore, H. K. (eds.), Proc. Conf. Exploding Wire Phenomenon, Vol. 1, Plenum Press, New York, 1959, p. 9.Google Scholar
5. Karioris, F, G., Fish, B. R., and Royster, G. W. Jr., “Aerosols from Exploding Wires,” in: W. G. Chace and H. K. Moore (eds.), Proc. Conf. Exploding Wire Phenomenon, Vol. 2, Plenum Press, New York, 1962, p. 299.Google Scholar
6. Barkow, A. G., Karioris, F. G., and Stoffels, J. J., “X-Ray Diffraction Analysis of Aerosols from Exploding Wires,” in: Advances in X-Ray Analysis, Vol. 6, Plenum Press, New York, 1963, p. 210.Google Scholar
7. Karioris, F. G. and Woyci, J. J., “X-Ray Investigation of Aerosols from Wires Exploded in Nitrogen,” in; Advances in X-Ray Analysis, Vol. 7, Plenum Press, New York, 1964, p. 240.Google Scholar
8. Duwez, P., Willens, R. H., and Klement, W. Jr., “Continuous Series of Metastable Solid Solutions in Silver-Copper Alloys,” J. Appl Phys. 31: 1136, 1960.Google Scholar
9. Duwez, P., Willens, R. H., and Klement, W. Jr., “Metastable Electron Compound in Ag-Ge Alloys,” J. Appl. Phys. 31: 1137, 1960.Google Scholar
10. Simmons, R. O. and Balluffi, R. W., “Measurement of Equilibrium Concentrations of Lattice Vacancies in Gold,” Phys. Rev. 125: 862, 1962.Google Scholar
11. Takamura, J., “Specimen Size and Quenched-In Lattice Defects,” in; R. M. J. Cotterill, M. Doyama, J. J. Jackson, and M. Meshii (eds.), Laitue Defects in Quenched Metals, Academic Press, New York, 1965, p. 521.Google Scholar
12. Jackson, J. J., “Strains in Quenched Metals,” in; ibid., p. 479.Google Scholar
13. Seeger, A. and Schumacher, D., “Quenching Effects in the Noble Metals, and in Nickel and Ni-Co Alloys,” in: ibid.,p. 15.Google Scholar
14. Bauerle, J. E. and Koehler, J. S., “Quenched-In Lattice Defects in Gold,” Phys. Rev. 107: 1943, 1957.Google Scholar
15. Boswell, F. W. C., “Precise Determination of Lattice Constants by Electron Diffraction and Variations in the Lattice Constants of Very Small Crystallites,” Proc. Phys. Sac. A64: 465, 1951.Google Scholar
16. Karioris, F. G. and Fish, B. R., “An Exploding Wire Aerosol Generator,” J. Colloid Sci. 17: 155, 1962.Google Scholar
17. Asonson, J. R., Emslie, A. G., and McLinden, H. C., “Infrared Spectra from Fine Particulate Surfaces,” Science 152: 345, April 15, 1966.Google Scholar
18. Karioris, F. G. and Moll, A. J., “Production of Submicron Aerosols,” Health Physics Div. Ann, Prog. Rept. ORNL-3347, 1962, p. 145.Google Scholar
19. Amick, J. and Turkevich, J., “Electron Microscopic Examination of Aerosols Formed in a Direct Current Arc,” in: W. E. Kuhn, H. Lamprey, and C. Sheer (eds.), Ultrafine Particles, John Wiley & Sons, Inc., New York, 1961, p. 146.Google Scholar
20.National Bureau of Standards Circular 539-1, Table 16, p. 33.Google Scholar
21. Bergin, R., “Quantitative Diffractometrtc Analysis of X-Ray Transparent Specimens,” J. Sci. Instr. 41: 588, 1964.Google Scholar
22. Geiss, R. H., “Determination of Accurate Lattice Parameters Using A Diffraetometer,” in: Advances in X-Ray Analysis, Vol. 5, Plenum Press, New York, 1961, p. 71.Google Scholar
23. Asimow, R., “Precision Lattice Parameter Measurements of Cold-Worked Metals, J. Appl. Phys. 31: 410, 1960.Google Scholar
24. Klug, H. P. and Alexander, L. E., X-Ray Diffraction Procedures, John Wiley & Sons, Inc., New York, 1954, p. 504.Google Scholar
25. Guinier, A., X-Ray Diffraction, W. H. Freeman & Co., San Francisco, 1963, p. 147.Google Scholar
26. Rachinger, W. A., “A Correction for the α1α2 Doublet in the Measurement of Widths of X-Ray Diffraction Lines,” J. Sci. Instr. 25: 254, 1948.Google Scholar
27. DuMond, J. W. M. and Kirkpatrick, H. A., “Experimental Evidence for Electron Velocities as the Cause of Compton Line Breadth with the Mukicrystal Spectrograph,” Phys, Rev. 37: 136, 1931.Google Scholar
28. DuMond, J. W. M., “X-Ray Scattering and Momenta of Electrons,” Rev. Mod. Phys. 5: 31, 1933.Google Scholar
29. Pease, R. S., “The Resolution of X-Ray Diffraction Lines into α1, α2 Components,” J. Sci. Jnstr. 25: 353, 1948.Google Scholar
30. Klug, H. P. and Alexander, L. B., op. cit., Reference 24, p. 500.Google Scholar
31. Schossberger, F., “Amorphous Solids, Small Particles and Thin Surface Films,” in: Advances in X-Ray Analysis, Vol. 1, Plenum Press, New York, 1957, p. 73.Google Scholar
32. Warren, B. E., “X-Ray Studies of Deformed Metals,” Progress in Metal Physics 8: 147, 1959.Google Scholar
33. Aqua, E. N. and Wagner, C. N. J., “X-Ray Diffraction of Deformation by Filing in bcc Refractory Metals,” Phil. Mag. 9: 565, 1964.Google Scholar
34. Vassamillett, L. F. and King, H. W., “Precision X-Ray Diffractometry Using Powder Specimens,” in: Advances in X-Ray Analysis, Vol. 6, Plenum Press, New York, 1962, p. 142.Google Scholar
35. Wilson, A. J. C., X-Ray Diffraction by Polycrystalline Materials, Chapman Hall, London, 1955, p. 392.Google Scholar
36. Culliry, B. D., Elements of X-Ray Diffraction, Addison-Wesley, Reading, Mass., 1956, p. 334.Google Scholar
37. Klug, H. P. and Alexander, L. E., op. cit., Reference 24, p. 464.Google Scholar
38. Otte, H. M., “Lattice Parameter Determinations with an X-Ray Spectrogoniometer by the Debye-Sherrer Method and the Effect of Specimen Condition,” J. Appl. Phys. 32: 1536, 1961.Google Scholar
39. Libowitzand, G. G. Bauer, S. H., “Electron Diffraction Determination of Lattice Parameters of Polycrystalline Specimens Giving Broad Diffraction Peaks, 1. Discussion of Technique and Analysis of Errors,” J. Phys. Chem. 59: 209, 1955.Google Scholar
40. Davey, J. E. and Deiter, R. H., “Structure in Textured Gold Films,” J. Appl. Phys. 36: 284, 1965.Google Scholar
41. Nicolson, M. M., “Surface Tension in Ionic Crystals,” Proc. Phys. Soc. (London) A228: 490, 1955.Google Scholar
42. Shuttleworth, R., “The Surface Tension of Solids,” Proc. Phys. Soc. (London) 63A: 444, 1950.Google Scholar
4. Herring, C., “The Use of Classical Macroscopic Concepts in Surface-Energy Problems,” in: H. Gomer and C. S. Smith (eds.), Structure and Properties of Solid Surfaces, The University of Chicago Press, Chicago, 1953, p. 5.Google Scholar
44. Shaler, A. J., “The Mechanical Properties of Crystalline Metal Surfaces, “in: R. Gomerand C. S. Smith (eds.), Structure and Properties of Solid Surfaces, The University of Chicago Press, Chicago, 1953, p. 120.Google Scholar
45. Fisher, J. C. and Dunn, C. G., “Surface and Interfecial Tensions of Single-Phase Solids,” in; W. Shockley, J. H. Hallo m an, R. Mauer, and F. Seitz (eds.), Imperfections in Nearly Perfect Crystals, John Wiley & Sons, Inc., New York, 1952, p. 317.Google Scholar
46. Rymer, T. B. and Butler, C. C., “Determination of Structure of Gold Leaf by Electron Diffraction,” Proc. Phys. Soc. (London) 59: 541, 1947.Google Scholar
47. Harrison, L. G., Morrison, J. A., and Rose, G. S., “An Investigation of Chloride Ion Diffusion in Subsurface Layers of Sodium Chloride by an Isotopîc Exchange Technique,” J. Phys. Chem. 61: 1314, 1957.Google Scholar
48. Miller, P. H. Jr., and Russell, B. R., “Effect of internal Strains on Linear Expansion, X-Ray Lattice Constant, and Density of Crystals,” J. Appl. Phys, 23: 1163, 1952.Google Scholar
49. Thomas, G. and Washburn, J., “Precipitation of Vacancies in Metals,’ ‘ Rev. Mod. Phys. 35: 992, 1963.Google Scholar
50. Michaels, A. S., “Fundamentals of Surface Chemistry and Surface Physics,” in: Symposium on Properties of Surfaces, ASTM Materials Science Series-4, ASTM Special Technical Publication No. 340, American Society for Testing and Materials, Philadelphia, Pa.Google Scholar
51. Haygood, J. D., unpublished dissertation, in: Dissertation Abstracts 25(5): 2779, 1964 (Eng.).Google Scholar
52. Balluffi, R. W., Koehler, J. S., and Simmons, R. O., “Present Knowledge About Point Defects in Deformed Face-Centered-Cubic-Metais,” in: L. Himmel (ed.), Recovery and Recrystallization of Metals, Interscience Publishers, New York, 1963, p. 38.Google Scholar
53. Koehler, J. S., Seitz, F., and Bauerle, J. E., “Interpretation of the Quenching Experiments on Gold,” Phys. Rev. 107: 1499, 1957.Google Scholar
54. Clarenbrough, L. M., Segall, R. L., Loretto, M. H., and Hargreaves, M. E., “The Annealing of Vacancies and Vacancy Aggregates in Quenched Gold, Silver and Copper,” Phil. Mag. 9: 377, 1964.Google Scholar
55. Doyama, M. and Cotterill, R. M. J., “Stable and Metastable Tetra vacancies in an fee Metal,” Phys. Rev. 137: A994, 1965.Google Scholar