The formula to calculate Density (ρ) is:
\[ ρ = \frac{z \cdot A}{[Avaga-no] \cdot (a)^3} \]
Where:
Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.
Effective Number of Atoms in Unit Cell is the number of atoms in a unit cell after accounting for the number of unit cells that share the atom. For example, for FCC, z=4; for BCC, z=2; for SC, z=1.
Atomic Mass is the mass of the metal.
Lattice Parameter is defined as the length between two points on the corners of a unit cell.
Let's assume the following values:
Using the formula:
\[ ρ = \frac{z \cdot A}{[Avaga-no] \cdot (a)^3} \]
Evaluating:
\[ ρ = \frac{4 \cdot 0.06355}{6.02214076E+23 \cdot (2.5E-10)^3} \]
The Density is 27014.9779760379 kg/m³.
| Effective Number of Atoms (z) | Atomic Mass (A) | Lattice Parameter (a) | Density (ρ) |
|---|---|---|---|
| 3 | 0.05 | 2.0E-10 | 31,135.107509509627562 |
| 3 | 0.05 | 2.5E-10 | 15,941.175044868927216 |
| 3 | 0.05 | 3.0E-10 | 9,225.217039854704126 |
| 3 | 0.055 | 2.0E-10 | 34,248.618260460585589 |
| 3 | 0.055 | 2.5E-10 | 17,535.292549355817755 |
| 3 | 0.055 | 3.0E-10 | 10,147.738743840172901 |
| 3 | 0.06 | 2.0E-10 | 37,362.129011411547253 |
| 3 | 0.06 | 2.5E-10 | 19,129.410053842708294 |
| 3 | 0.06 | 3.0E-10 | 11,070.260447825643496 |
| 3 | 0.065 | 2.0E-10 | 40,475.639762362508918 |
| 3 | 0.065 | 2.5E-10 | 20,723.527558329602471 |
| 3 | 0.065 | 3.0E-10 | 11,992.782151811114090 |
| 3 | 0.07 | 2.0E-10 | 43,589.150513313477859 |
| 3 | 0.07 | 2.5E-10 | 22,317.645062816496647 |
| 3 | 0.07 | 3.0E-10 | 12,915.303855796584685 |
| 4 | 0.05 | 2.0E-10 | 41,513.476679346167657 |
| 4 | 0.05 | 2.5E-10 | 21,254.900059825235076 |
| 4 | 0.05 | 3.0E-10 | 12,300.289386472937622 |
| 4 | 0.055 | 2.0E-10 | 45,664.824347280780785 |
| 4 | 0.055 | 2.5E-10 | 23,380.390065807754581 |
| 4 | 0.055 | 3.0E-10 | 13,530.318325120231748 |
| 4 | 0.06 | 2.0E-10 | 49,816.172015215393913 |
| 4 | 0.06 | 2.5E-10 | 25,505.880071790277725 |
| 4 | 0.06 | 3.0E-10 | 14,760.347263767524055 |
| 4 | 0.065 | 2.0E-10 | 53,967.519683150014316 |
| 4 | 0.065 | 2.5E-10 | 27,631.370077772804507 |
| 4 | 0.065 | 3.0E-10 | 15,990.376202414818181 |
| 4 | 0.07 | 2.0E-10 | 58,118.867351084634720 |
| 4 | 0.07 | 2.5E-10 | 29,756.860083755327651 |
| 4 | 0.07 | 3.0E-10 | 17,220.405141062114126 |
| 5 | 0.05 | 2.0E-10 | 51,891.845849182704114 |
| 5 | 0.05 | 2.5E-10 | 26,568.625074781539297 |
| 5 | 0.05 | 3.0E-10 | 15,375.361733091171118 |
| 5 | 0.055 | 2.0E-10 | 57,081.030434100975981 |
| 5 | 0.055 | 2.5E-10 | 29,225.487582259698684 |
| 5 | 0.055 | 3.0E-10 | 16,912.897906400288775 |
| 5 | 0.06 | 2.0E-10 | 62,270.215019019240572 |
| 5 | 0.06 | 2.5E-10 | 31,882.350089737847156 |
| 5 | 0.06 | 3.0E-10 | 18,450.434079709404614 |
| 5 | 0.065 | 2.0E-10 | 67,459.399603937519714 |
| 5 | 0.065 | 2.5E-10 | 34,539.212597216006543 |
| 5 | 0.065 | 3.0E-10 | 19,987.970253018524090 |
| 5 | 0.07 | 2.0E-10 | 72,648.584188855791581 |
| 5 | 0.07 | 2.5E-10 | 37,196.075104694158654 |
| 5 | 0.07 | 3.0E-10 | 21,525.506426327643567 |