 Hariharan V S
Indian Institute of Technology (IIT), Chennai
Hariharan V S has created this Calculator and 25+ more calculators!

## < 5 Other formulas that you can solve using the same Inputs

Total free energy change during solidification
Total free energy change=((4/3)*pi*Radius of nucleus^3*Volume free energy)+(4*pi*Radius of nucleus^2*Surface free energy) GO
Critical radius of nucleus=2*Surface free energy*Melting temperature/(Latent heat of fusion*Undercooling value) GO
Volume free energy
Volume free energy=Latent heat of fusion*Undercooling value/Melting temperature GO
Critical free energy for nucleation( from volume free energy)
Critical free energy=16*pi*Surface free energy^3/(3*Volume free energy^2) GO
Critical radius of nucleus (from volume free energy)
Critical radius of nucleus=-2*Surface free energy/Volume free energy GO

## < 1 Other formulas that calculate the same Output

Critical free energy for nucleation( from volume free energy)
Critical free energy=16*pi*Surface free energy^3/(3*Volume free energy^2) GO

### Critical free energy for nucleation Formula

Critical free energy=16*pi*Surface free energy^3*Melting temperature^2/(3*Latent heat of fusion^2*Undercooling value^2)
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## Nucleation and growth

The progress of solidification involves two distinct stages: nucleation and growth. Nucleation involves the appearance of very small particles, or nuclei of the solid (often consisting of only a few hundred atoms), which are capable of growing. During the growth stage these nuclei increase in size, which results in the disappearance of some (or all) of the parent phase. The transformation reaches completion if the growth of these new phase particles is allowed to proceed until the equilibrium fraction is reached.

## How to Calculate Critical free energy for nucleation?

Critical free energy for nucleation calculator uses Critical free energy=16*pi*Surface free energy^3*Melting temperature^2/(3*Latent heat of fusion^2*Undercooling value^2) to calculate the Critical free energy, Critical free energy for nucleation is the free energy required for the formation of a stable nucleus. Equivalently, it may be considered an energy barrier to the nucleation process. Critical free energy and is denoted by ΔG* symbol.

How to calculate Critical free energy for nucleation using this online calculator? To use this online calculator for Critical free energy for nucleation, enter Surface free energy (𝛾), Melting temperature (Tm), Undercooling value (ΔT) and Latent heat of fusion (ΔHf) and hit the calculate button. Here is how the Critical free energy for nucleation calculation can be explained with given input values -> 9.308E-18 = 16*pi*0.2^3*1000^2/(3*1200000000^2*100^2).

### FAQ

What is Critical free energy for nucleation?
Critical free energy for nucleation is the free energy required for the formation of a stable nucleus. Equivalently, it may be considered an energy barrier to the nucleation process and is represented as ΔG*=16*pi*𝛾^3*Tm^2/(3*ΔHf^2*ΔT^2) or Critical free energy=16*pi*Surface free energy^3*Melting temperature^2/(3*Latent heat of fusion^2*Undercooling value^2). Surface free energy is the energy to create solid–liquid phase boundary during the solidification, Melting temperature of the metal or alloy in kelvin, Undercooling value is the difference between the melting temperature and temperature under consideration (below melting temperature). It is also known as supercooling and Latent heat of fusion or enthalpy of solidification is the heat liberated during solidification. Enter the magnitude only. It is taken negative by default.
How to calculate Critical free energy for nucleation?
Critical free energy for nucleation is the free energy required for the formation of a stable nucleus. Equivalently, it may be considered an energy barrier to the nucleation process is calculated using Critical free energy=16*pi*Surface free energy^3*Melting temperature^2/(3*Latent heat of fusion^2*Undercooling value^2). To calculate Critical free energy for nucleation, you need Surface free energy (𝛾), Melting temperature (Tm), Undercooling value (ΔT) and Latent heat of fusion (ΔHf). With our tool, you need to enter the respective value for Surface free energy, Melting temperature, Undercooling value and Latent heat of fusion and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Critical free energy?
In this formula, Critical free energy uses Surface free energy, Melting temperature, Undercooling value and Latent heat of fusion. We can use 1 other way(s) to calculate the same, which is/are as follows -
• Critical free energy=16*pi*Surface free energy^3/(3*Volume free energy^2) Let Others Know