The formula to calculate the Critical Radius of Nucleus from Volume Free Energy is:
\[ r = \frac{-2 \cdot \gamma}{\Delta G_v} \]
The Critical Radius of Nucleus is the minimum size of a stable nucleus formed during solidification. Surface Free Energy is the energy required to create a solid–liquid phase boundary during solidification. Volume Free Energy is the free energy difference between the solid and liquid phases.
Let's assume the following values:
Using the formula:
\[ r = \frac{-2 \cdot 0.2}{-10,000} \approx 4 \times 10^{-5} \]
The Critical Radius is approximately \(4 \times 10^{-5}\) Meter.
| Surface Free Energy (Joule per Square Meter) | Volume Free Energy (Joule per Cubic Meter) | Critical Radius (Meter) |
|---|---|---|
| 0.1 | -10000 | 0.000020000000000 |
| 0.15 | -10000 | 0.000030000000000 |
| 0.2 | -10000 | 0.000040000000000 |
| 0.25 | -10000 | 0.000050000000000 |
| 0.3 | -10000 | 0.000060000000000 |