Titlebook: Handbook of Crystallography; For Electron Microsc A. G. Jackson Book 1991 Springer-Verlag New York Inc. 1991 crystal.crystallography.format

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Introduction to Personality Theory,The calculation of projections of a plane onto a reference plane parallel to it can be done in a straightforward way using vectors. The utility of these calculations in this form is, first, that hand calculation is simple, and, second, that the vector equations can be easily translated into a computer program if desired.

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Definitions and Mathematics,crystal ≡ a material in which the atoms are arranged in a translationally periodic array in three dimensions or which are arranged in rotationally periodic arrays in three dimensions [Cullity, 1978].

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Defining Vectors for Various Crystal Systems,There are several definitions for the basis vectors for face-centered cubic (FCC) structures and lattices. The most common uses the nonprimitive cube with axes . as shown in Figure 2.1. Conceptually, this set is the easiest to grasp, but the primitive set is essential for finding the allowed reflections.

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Detailed Equations for Various Crystal Systems,Defining vectors: .Plane indices: {hkl}.The lattice parameters are a, b, c; α, β, γ in this case none of them are equal to each other.

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