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Predicting some Effects of Lattice Vibrations on Proton Scattering Patterns
Published online by Cambridge University Press: 06 March 2019
Abstract
A method of predicting the approximate relative intensities of lines in proton blocking patterns recently proposed, which is based on summing the squares of structure factors for the various orders of reflection of a plane, is found to predict certain effects of lattice vibrations on the lines in some recently reported patterns. The mean square amplitude of vibration enters the calculations through a Debye-Waller temperature factor like that used in X-ray diffraction. When patterns are compared for groups of crystals that are nearly identical except for this temperature factor, the qualitative predictions by this method agree with the observations. If it is also arbitrarily assumed that the integrated intensity dip at a spot where lines intersect is approximated by summing the calculated Integrated intensity dips for all of the lines crossing at the spot, one has a simple and convenient method of predicting relative spot intensities. Such calculations have been successful in establishing the order of decreasing intensity for most of the spots along a given line, with several different kinds of crystals. This method also serves to predict qualitatively how prominent the spots appear relative to the lines, in general, in patterns of crystals that differ appreciably only in the amplitude of the thermal vibrations.
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- Copyright © International Centre for Diffraction Data 1970
References
Mueller, R. M. and White, W., “Effects of Lattice Vibrations on Proton Blocking,” Phys. Lett., in press (1970).Google Scholar
Barrett, C. S., “Proton Scattering from Single Crystals,” Advances in X-Ray Analysis, Vol. 12 (Plenum Press, New York, 1969), p. 72.Google Scholar
Barrett, C. S., “Line Intensities in Proton Scattering,” Trans. TMS-AIME 245, 429(1969).Google Scholar
Anderson, J. U. and Uggerhøi, E., “Investigation of the Energy and Temperature Dependence of the String Effect,” Can. J . Phys. 46, 517 (1968).Google Scholar
Behrisch, R., “Scattering of keV Protons from Copper Surfaces,” Can. J . Phys. 46, 527(1968).Google Scholar
Barrett, C. S., “Ion Beam Scattering Applied to Crystallography,” Naturwissenschaften, in press (1970).Google Scholar
Barrett, C. S., Mueller, R. M., and White, W., “Proton Blocking in Cubic Crystals,” J . Appl. Phys. 39, 4695 (1968).Google Scholar
Barrett, C. S., “Correlation of Proton Patterns with Crystal Parameters,” Met. Trans. 1, 171 (1970).Google Scholar
Barrett, C. S. and Massalski, T. B., Structure of Metals, 3rd edition (McGraw-Hill, 1966), p. 96.Google Scholar
Hirsch, P. B. et al, Electron Microscopy of Thin Crystals (Butterworths, London, 1965), pp. 119, 447.Google Scholar
Coates, D. G., “Kikuchi-like Reflection Patterns Obtained with the Scanning Electron Microscope,” Phil, Mag. 16, 1179 (1967).Google Scholar
Booker, G. R. et al , “Some Comments on the Interpretation of the ‘Kikuchi-like Reflection Patterns’ Observed by Scanning Electron Microscopy,” Phil. Mag. 16, 1185 (1967).Google Scholar
Schulson, E. M., “Some Considerations of Selected Area Channeling in the Scanning Electron Microscope,” J . Sci. Inst. 2, 362 (1969).Google Scholar
Coates, D. G., “Pseudo-Kikuchi Orientation Analysis in the Scanning Electron Microscope,” Proc. Second Annual Scanning Electron Microscope Symposium, IIT Research inst., Chicago, Illinois, Johari, O., editor (1969), p. 29.Google Scholar
Kossel, W. and G., Möllensredt, “Electronen-Interferenzen in Konvergenten Bündel,” Ann. der Phys. 5, 113 (1939).Google Scholar
Cowley, J. M., Crystal Structure Determination by Electron Diffraction (Pergornon Press, 1967), p. 308.Google Scholar
Goodman, P. and Lehmpfuhl, G., “Electron Diffraction Study of MgO h00-systematic Interactions,” Acta Cryst. 22, 14 (1967).Google Scholar