The formula to calculate the Total Free Energy Change during solidification is:
\[ \Delta G = \left(\frac{4}{3}\pi r^3 \Delta G_v\right) + \left(4\pi r^2 \gamma\right) \]
Total free energy change is the difference in free energy due to solidification including both volumetric and surface area contributions. The Radius of nucleus is the radius of the nucleus formed during the solidification. Volume free energy is the free energy difference between the solid and liquid phases. Surface free energy is the energy to create a solid–liquid phase boundary during the solidification.
Let's assume the following values:
Using the formula:
\[ \Delta G = \left(\frac{4}{3}\pi (1E-08)^3 (-10000)\right) + \left(4\pi (1E-08)^2 (0.2)\right) = 2.51285524385136E-16 \]
The Total Free Energy Change is 2.51285524385136E-16 Joules.
| Radius (Meters) | Volume Free Energy (Joule per Cubic Meter) | Surface Free Energy (Joule per Square Meter) | Total Free Energy Change (Joules) |
|---|---|---|---|
| 1.0E-8 | -10000 | 0.2 | 0.000000000000000 |