R. Luck et Dh. Warrington, SPHERICAL GEOMETRIC REPRESENTATION OF COINCIDENCE SITE LATTICE (CSL) ROTATIONS FOR ICOSAHEDRAL SYMMETRY, Journal of non-crystalline solids, 207, 1996, pp. 25-27
The representation of coincidence site lattice (CSL) orientations of i
cosahedral symmetry is discussed using the Frank sphere, This represen
tation is characterized by r=r(0) similar to tan(theta/4), theta being
the rotation angle. The multiplicities of CSL rotations are derived a
nd the positioning of individual CSL rotations within the sphere an de
monstrated.