Drop this file into your site. It renders density tables and (111) projections of SC, BCC, FCC as hex/triangular nets—the AOL entry layer. All data are embedded; no network calls.
| Lattice | Atoms per cell (Z) | Coordination # | Edge a vs r | APF | ρ formula |
|---|---|---|---|---|---|
| Simple Cubic (SC) | 1 | 6 | a = 2r | 0.524 | ρ = (Z·M)/(N_A·a³) |
| Body-Centered Cubic (BCC) | 2 | 8 | a = 4r/√3 | 0.68 | ρ = (Z·M)/(N_A·a³) |
| Face-Centered Cubic (FCC) | 4 | 12 | a = 2√2·r | 0.74 | ρ = (Z·M)/(N_A·a³) |
| Parameter | Value |
|---|---|
| Lattice constant a (Å) | 3.345 |
| a (cm) | 3.345e-08 |
| Atomic mass M (g/mol) | 209 |
| Z (SC) | 1 |
| Calculated ρ (g/cm³) | 9.27272 |
| Reported ρ α-Po (g/cm³) | 9.196 |
| Reported ρ β-Po (g/cm³) | 9.398 |
| Element | Lattice | a (Å) | Z | M (g/mol) | ρ_calc (g/cm³) | ρ_ref (g/cm³) | Error % |
|---|---|---|---|---|---|---|---|
| Fe (α-iron) | BCC | 2.8665 | 2 | 55.845 | 7.87422 | 7.874 | 0.00279532 |
| W (tungsten) | BCC | 3.1652 | 2 | 183.84 | 19.2538 | 19.25 | 0.0195508 |
| Cr (chromium) | BCC | 2.884 | 2 | 51.9961 | 7.19887 | 7.19 | 0.123311 |
| Cu (copper) | FCC | 3.615 | 4 | 63.546 | 8.93454 | 8.96 | -0.284105 |
| Al (aluminum) | FCC | 4.0495 | 4 | 26.9815 | 2.6988 | 2.7 | -0.0443829 |
| Ni (nickel) | FCC | 3.524 | 4 | 58.6934 | 8.90821 | 8.9 | 0.0922959 |
| Ag (silver) | FCC | 4.0862 | 4 | 107.868 | 10.5013 | 10.49 | 0.107859 |
| Ca (calcium) | FCC | 5.588 | 4 | 40.078 | 1.52562 | 1.55 | -1.573 |
Basis vectors in-plane: e₁ = (1,−1,0)/√2, e₂ = (1,1,−2)/√6. You can map these onto AOL axial (q,r,s) with a fixed linear transform; s = −(q+r).