The relationship of elasticity and crystal structure in andalusite and sillimanite |
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| Authors: | Michael T Vaughan Donald J Weidner |
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| Institution: | 1. Dept. of Earth and Space Sciences, State University of New York, 11794, Stony Brook, NY, USA
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| Abstract: | The nine elastic constants of andalusite and sillimanite have been determined, using the technique of Brillouin scattering. They are, in megabars, for andalusite: c 11=2.334, c 22=2.890, c 33=3.801, c 44=0.995, c 55=0.878, c 66=1.123, c 23=0.977, c 13=1.162, c 12=0.814; for sillimanite: c 11=2.873, c 22=2.319, c 33=3.884, c 44=1.224, c 55=0.807, c 66=0.893, c 23=1.586, c 13=0.834, c 12=0.947. Both structures are characterized by chains of edge-linked coordination octahedra extending parallel to the crystallographic c direction, cross-linked by polyhedra of lower coordination. In each structure the stiffness measured parallel to c is greater than that measured normal to c. The shear moduli can be directly correlated with the relative rigidity of the cross-linking structures. |
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