Sphere Packing Density Calculator
Packing Density: -
Number of Spheres per Unit Cell: -
Coordination Number: -
Understanding Sphere Packing
What is Sphere Packing?
Sphere packing studies the arrangement of spheres in space to achieve optimal density.
Packing Density = (Volume of spheres) / (Total volume)
Common Densities:
- SC: π/6 ≈ 0.524
- BCC: π√3/8 ≈ 0.680
- FCC/HCP: π√2/6 ≈ 0.740
Advanced Concepts
- Crystallographic Systems:
- Bravais Lattices
- Miller Indices
- Point Groups
- Space Groups
- Theoretical Bounds:
- Kepler Conjecture
- Random Close Packing
- Kissing Numbers
- Voronoi Cells
- Applications:
- Crystal Structure
- Material Properties
- Molecular Modeling
- Granular Materials
Properties and Applications
Coordination Numbers
SC: 6, BCC: 8, FCC: 12
Void Spaces
Tetrahedral and Octahedral
Crystal Systems
7 Basic Systems
Phase Transitions
Density-driven changes