Crystal Systems Overview

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Questions and Answers

Match the crystal systems with their axial distances or edge lengths:

Cubic = a = b = c Tetragonal = a = b ≠ c Orthorhombic = a ≠ b ≠ c Hexagonal = a = b ≠ c

Match the crystal systems with their axial angles:

Cubic = α = β = γ = 90° Tetragonal = α = β = γ = 90° Hexagonal = α = β = 90°, γ = 120° Rhombohedral or Trigonal = α = β = γ ≠ 90°

Match the examples with their corresponding crystal systems:

Cubic = NaCl, Zinc blende, Cu Orthorhombic = Rhombic sulphur, KNO3, BaSO4 Hexagonal = Graphite, ZnO, CdS Rhombohedral or Trigonal = Calcite (CaCO3), HgS (cinnabar)

Match the possible variations of the crystal systems:

<p>Cubic = Primitive, Body-centred, Face-centred Tetragonal = Primitive, Body-centred Orthorhombic = Primitive, Body-centred, Face-centred, End-centred Hexagonal = Primitive</p> Signup and view all the answers

Match the crystal systems with their characteristics:

<p>Cubic = α = β = γ = 90° and a = b = c Tetragonal = α = β = γ = 90° and a = b ≠ c Rhombohedral or Trigonal = α = β = γ ≠ 90° and a = b = c Hexagonal = α = β = 90°, γ = 120° and a = b ≠ c</p> Signup and view all the answers

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Study Notes

Crystal Systems Overview

  • Crystal systems classify minerals and materials based on their symmetry and geometrical arrangement.
  • Each system is characterized by specific axial distances and angles.

Cubic System

  • Variations: Primitive, Body-centred, Face-centred.
  • Edge lengths: All edges are equal (a = b = c).
  • Angles: All angles are right angles (α = β = γ = 90°).
  • Common examples: Sodium chloride (NaCl), Zinc blende, Copper (Cu).

Tetragonal System

  • Variations: Primitive, Body-centred.
  • Edge lengths: Two edges are equal and one is different (a = b ≠ c).
  • Angles: All angles are right angles (α = β = γ = 90°).
  • Common examples: White tin, Tin(IV) oxide (SnO2), Titanium dioxide (TiO2), Calcium sulfate (CaSO4).

Orthorhombic System

  • Variations: Primitive, Body-centred, Face-centred, End-centred.
  • Edge lengths: All edges are different (a ≠ b ≠ c).
  • Angles: All angles are right angles (α = β = γ = 90°).
  • Common examples: Rhombic sulphur, Potassium nitrate (KNO3), Barium sulfate (BaSO4).

Hexagonal System

  • Variations: Primitive only.
  • Edge lengths: Two edges are equal and one is different (a = b ≠ c).
  • Angles: Two angles are right angles and one angle is 120° (α = β = 90°, γ = 120°).
  • Common examples: Graphite, Zinc oxide (ZnO), Cadmium sulfide (CdS).

Rhombohedral or Trigonal System

  • Variations: Primitive only.
  • Edge lengths: All edges are equal (a = b = c).
  • Angles: All angles are equal but not right angles (α = β = γ ≠ 90°).
  • Common examples: Calcite (CaCO3), Cinnabar (HgS).

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