The formula to calculate the Number of Vacancies at Equilibrium is:
\[ N_v = N \cdot \exp\left(-\frac{Q_v}{k_B \cdot T}\right) \]
The Number of Vacancies is the number of vacancies per cubic metre. The Number of Atomic Sites is the number of atomic sites per cubic metre. The Activation Energy for Vacancy Formation is the energy needed for the formation of a vacancy, and the Temperature is the degree or intensity of heat present in a substance or object.
Let's assume the following values:
Using the formula:
\[ N_v = 8 \times 10^{28} \cdot \exp\left(-\frac{1.44195959700001 \times 10^{-19}}{1.38064852 \times 10^{-23} \cdot 85}\right) \approx 3.4729 \times 10^{-25} \]
The Number of Vacancies is approximately \(3.4729 \times 10^{-25}\).
| Number of Atomic Sites (per cubic metre) | Activation Energy (Joules) | Temperature (Kelvin) | Number of Vacancies |
|---|---|---|---|
| 7.0E+28 | 1.441959597E-19 | 85 | 0.000000000000000 |
| 7.5E+28 | 1.441959597E-19 | 85 | 0.000000000000000 |
| 8.0E+28 | 1.441959597E-19 | 85 | 0.000000000000000 |
| 8.5E+28 | 1.441959597E-19 | 85 | 0.000000000000000 |
| 9.0E+28 | 1.441959597E-19 | 85 | 0.000000000000000 |