\[\rho=\frac{nM}{N_AV_c}\]
Variables
rho[ρ]crystal density (kg/m³)
nnumber of atoms per unit cell
Mmolar mass (kg/mol)
NA[N_A]Avogadro constant (1/mol)
Vc[V_c]unit cell volume (m³)
Description
What is this formula?
The lattice density formula calculates the mass density of a crystalline material using its atomic structure and unit cell properties. It relates the number of atoms per unit cell with molar mass and cell volume.
When to use it
This formula is used in crystallography, materials science, metallurgy, and solid state physics to determine the density of crystalline solids.
Example
A crystal has:
n = 4 atoms per unit cell
M = 0.0635 kg/mol
V_c = 4.70×10^-29 m³
Using:
ρ = (nM)/(N_AV_c)
Where:
N_A = 6.022×10^23 1/mol
Substitution:
ρ = (4×0.0635)/(6.022×10^23×4.70×10^-29)
Result:
ρ ≈ 8.94×10^3 kg/m³
Applications
- Crystal structure analysis
- Material density calculations
- Metallurgy
- Semiconductor materials
- Solid state physics
- Materials engineering