Cubic Cell Calculator
Calculate crystal lattice properties for cubic unit cells including packing efficiency, density, and atomic radius calculations.
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Results
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Cubic Unit Cells
Simple Cubic (SC)
- • 1 atom per unit cell
- • Coordination number: 6
- • Packing efficiency: 52%
- • Edge length = 2r
Body-Centered Cubic (BCC)
- • 2 atoms per unit cell
- • Coordination number: 8
- • Packing efficiency: 68%
- • Edge length = 4r/√3
Face-Centered Cubic (FCC)
- • 4 atoms per unit cell
- • Coordination number: 12
- • Packing efficiency: 74%
- • Edge length = 4r/√2
Cell Properties
Volume and Density
- • Volume = a³
- • Density = (Z × M) / (Nₐ × V)
- • Z = atoms per unit cell
- • M = molar mass
Packing Efficiency
- • Volume occupied by atoms
- • Total unit cell volume
- • Efficiency = (Z × Vₐₜₒₘ) / Vᴄₑₗₗ
- • Vₐₜₒₘ = (4/3)πr³
Common Elements
BCC Elements
- • Iron (Fe): a = 2.87 Å
- • Tungsten (W): a = 3.16 Å
- • Chromium (Cr): a = 2.88 Å
- • Molybdenum (Mo): a = 3.15 Å
FCC Elements
- • Copper (Cu): a = 3.61 Å
- • Aluminum (Al): a = 4.05 Å
- • Gold (Au): a = 4.08 Å
- • Silver (Ag): a = 4.09 Å