Chapter 2: Orientation of Anisotropic Minerals in a Stress Field: Discussion

Abstract
Based on MacDonald’s thermodynamic prediction that minerals should so orient that strain energy is maximized, the preferred orientations of calcite, high and low quartz, and ice are calculated for a stress field consisting of a single component. The following planes should be approximately normal to the stress: ice and calcite, the planes {10̄11}; high quartz, the planes {10̄12}; and low quartz the planes {02̄21}. A number of grains at equilibrium will have c-axes which occupy girdles about the single-stress component. The equations for strain energy of hexagonal minerals in a stress field of three different principal stresses are derived and applied to the orientation of ice (—2°C.). The preferred orientation depends upon ratios of principal stresses and upon stress difference and confining pressure independently. The c axes of grains tend to lie on small-circle girdles about the unique principal stress in a uniaxial stress field.