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Biometrika 1957 44(1-2):205-210; doi:10.1093/biomet/44.1-2.205
© 1957 by Biometrika Trust
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SOME STATISTICS ASSOCIATED WITH THE RANDOM DISORIENTATION OF CUBES

J. K. MACKENZIE and M. J. THOMSON

Division of Tribophysics, Commonwealth Scientific Industrial Research Organization, University of Melbourne Australia

A Monte Carlo method is used to estimate the frequency functions of various angles in a random aggregate of cubic crystals. Estimates are made of the frequency function for the angle of disorientation, i.e. the least angle of rotation required to rotate a crystal into the same orientation as a neighbouring crystal, and for the angles Min 100, Min 110, Min 112, Min 123 and Min [110, 112, 123], where Min 100 is defined as the least of the nine acute angles between 100 .directions in neighbouring crystals and similar definitions apply for the other angles.


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