Part of PC-11 — Solid State

Ionic Crystal Structures (NaCl, CsCl, ZnS)

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NaCl (Rock Salt) Structure

  • ClCl^{-} forms FCC lattice (Z = 4)
  • Na+Na^{+} occupies ALL octahedral voids (4 voids → 4 Na+Na^{+})
  • Formula per cell: 4 NaCl
  • CN = 6:6 (octahedral, each ion surrounded by 6 of the other)
  • Radius ratio: 0.414 ≤ r+r^{+}/rr^{-} ≤ 0.732
  • Examples: NaCl, KCl, MgO, CaO, FeO

CsCl Structure

  • ClCl^{-} at 8 corners of cube; Cs+Cs^{+} at body centre
  • CN = 8:8 (cubic coordination)
  • Z = 1 formula unit per cell
  • Radius ratio: r+r^{+}/rr^{-} > 0.732
  • Examples: CsCl, CsBr, CsI
  • Note: NOT a true BCC (different ions at corners vs body centre)

ZnS (Zinc Blende) Structure

  • S2S^{2-} forms FCC lattice (Z = 4 → 8 tetrahedral voids)
  • Zn2+Zn^{2+} occupies HALF (4) of tetrahedral voids (alternate voids)
  • CN = 4:4 (tetrahedral)
  • Radius ratio: 0.225 ≤ r+r^{+}/rr^{-} ≤ 0.414
  • Examples: ZnS, CuCl, SiC

Fluorite (CaF2CaF_{2}) and Antifluorite (Na2ONa_{2}O)

StructureCation arrangementAnion positionCN
Fluorite (CaF2CaF_{2})Ca2+Ca^{2+} in FCCFF^{-} in ALL tetrahedral voids8:4
Antifluorite (Na2ONa_{2}O)O2O^{2-} in FCCNa+Na^{+} in ALL tetrahedral voids4:8

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