Part of JPC-09 — Solid State: Unit Cell, Packing & Defects

Counting Lattice Points in Cubic Unit Cells

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Contribution by position: corner = 1/8 (shared by 8 cells), edge = 1/4 (shared by 4), face = 1/2 (shared by 2), body centre = 1 (unshared). SC: 8 corners x 1/8 = 1. BCC: 818\frac{1}{8} + 1(body) = 2. FCC: 818\frac{1}{8} + 612\frac{1}{2} = 4. These Z values are used in the density formula d = ZMNAa3\frac{ZM}{N_A a^3}.

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