Open AccessThe mode of formation of Neumann bands. Part II.–The evidence that the bands are twins
Author(s) -
Sinclair Smith,
A. A. Dee,
John Zachary Young
Publication year - 1928
Publication title -
proceedings of the royal society of london. series a, containing papers of a mathematical and physical character
Language(s) - English
Resource type - Journals
eISSN - 2053-9150
pISSN - 0950-1207
DOI - 10.1098/rspa.1928.0214
Subject(s) - cube (algebra) , perpendicular , geometry , diagonal , orientation (vector space) , lattice (music) , face (sociological concept) , mathematics , combinatorics , physics , social science , sociology , acoustics
1. Any discussion of the significance of Neumann bands must involve the geometrical relationships between them and the matrix. The orientation of the cube lattice of a meteorite having been determined by X-ray or other methods, a section parallel to a cube face can be cut, polished and etched, and the angles which the traces of the Neumann bands make with the sides or the diagonals of the cube face can be measured. If the bands are parallel to the twelve planes of the icositetrahedron {112}, their traces will lie in the directions shown in fig. 5, PVUT representing the orientation of the cube face. The spatial relationships of the planes producing such {112} traces can be visualised by means of fig. 6, an isometric projection of a cube, in which the planes producing the traces shown in fig. 5 are indicated by their traces on three mutually perpendicular planes,e. g ., PVUT (010), PTQX (001) and PXWV (100).