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The number of atoms per unit cell and the number of slip systems, respectively, for a face-centered cubic (FCC) crystal are

  • A.3, 3
  • B.3, 12
  • C.4, 12
  • D.4, 48

Answer: C

An FCC crystal has 4 atoms per unit cell and 12 slip systems.

Atoms per cell: 8 corner atoms each shared by 8 cells give 1, and 6 face-centred atoms each shared by 2 cells give 3, a total of 4.

Slip in FCC occurs on the close-packed {111} planes in the close-packed 110-type directions. There are 4 distinct {111} planes, each with 3 slip directions, giving 4 × 3 = 12 slip systems.

3 atoms forgets the corners. 48 slip systems is the figure sometimes quoted for BCC when the {110}, {211} and {321} planes are all counted, not for FCC.

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