As noted in Section 3.15, for single crystals of some substances

As noted in Section 3.15, for single crystals of some substances

As noted in Section 3.15, for single crystals of some substances, the physical properties are anisotropic; that is, they are dependent on crystallographic direction. One such property is the modulus of elasticity. For cubic single crystals, the modulus of elasticity in a general [uvw] direction, Euvw, is described by the relationship

where and are the moduli of elasticity in [100] and [111] directions, respectively; a, ß, and ? are the cosines of the angles between [uvw] and the respective [100], [010], and [001] directions. Verify that the values for aluminum, copper, and iron in Table 3.3 are correct.

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