The relationship between the Lisle orientation tensor and the susceptibility tensor

Lisle (1989) introduced an orientation tensor of orthogonal orientation data as summed cross products of the direction cosines of the X axes minus the summed cross products of the direction cosines of the Zaxes. The contribution deals with the relationship between the Lisle orientation tensor and the tensor of magnetic susceptibility. The bulk magnetic susceptibility is generated by a system of triaxial magnetic grains. In the case of "ideally" triaxial magnetic grains, the eigenvectors of the tensor of Lisle are parallel to the eigenvectors of magnetic susceptibility, and in the case of general triaxial grains they are close to them. Analytical results and numerical modelling confirm the intuitive feeling that AMS of a system composed of triaxial magnetic grains reflects the mean orientation of X as well as Z grain axes. (C) 2000 Elsevier Science Ltd. All rights reserved.