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Atomic Packing Factor Calculation Guide
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- Basic Concepts
- Atomic Packing Factor (APF) shows atom density in crystal structures
- APF is calculated by dividing atom volume by total unit cell volume
- Unit cell is simplest repeating unit in crystal
- 1D and 2D Packing
- 1D packing measures linear density along crystal cell
- 2D packing measures planar density using repeating crystal area
- Maximum packing factor is 1, indicating complete atom coverage
- Common Crystal Structures
- Simple cubic (SC) has 1 atom per unit cell
- Body-centered cubic (BCC) has 2 atoms per unit cell
- Face-centered cubic (FCC) has 4 atoms per unit cell
- Hexagonal close-packed (HCP) has 6 atoms per unit cell
- HCP Structure Details
- HCP primitive unit cell has 2 independent lattice parameters
- Central atom has c/a ratio of 3:1
- Unit cell volume calculated using hexagonal prism formula
- APF calculated by dividing atom volume by total unit cell volume