Critical radius of nucleus Calculator

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✖Surface free energy is the energy to create solid–liquid phase boundary during the solidification.ⓘ Surface free energy [𝛾]			+10% -10%
✖Melting temperature of the metal or alloy in kelvin.ⓘ Melting temperature [T_m]			+10% -10%
✖Latent heat of fusion or enthalpy of solidification is the heat liberated during solidification. Enter the magnitude only. It is taken negative by default.ⓘ Latent heat of fusion [ΔH_f]			+10% -10%
✖Undercooling value is the difference between the melting temperature and temperature under consideration (below melting temperature). It is also known as supercooling.ⓘ Undercooling value [ΔT]			+10% -10%

✖Critical radius of nucleus is the minimum size of a stable nucleus formed during solidification.ⓘ Critical radius of nucleus [r*]

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Critical radius of nucleus

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 free energy for nucleation

Critical free energy=16*pi*Surface free energy^3*Melting temperature^2/(3*Latent heat of fusion^2*Undercooling value^2) 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 radius of nucleus (from volume free energy)

Critical radius of nucleus=-2*Surface free energy/Volume free energy GO

Critical radius of nucleus Formula

Critical radius of nucleus=2*Surface free energy*Melting temperature/(Latent heat of fusion*Undercooling value)

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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 radius of nucleus?

Critical radius of nucleus calculator uses Critical radius of nucleus=2*Surface free energy*Melting temperature/(Latent heat of fusion*Undercooling value) to calculate the Critical radius of nucleus, Critical radius of nucleus is the minimum radius of a stable nucleus formed during solidification, assuming homogeneous nucleation conditions. Critical radius of nucleus and is denoted by r* symbol.

How to calculate Critical radius of nucleus using this online calculator? To use this online calculator for Critical radius of nucleus, enter Surface free energy (𝛾), Melting temperature (T_m), Undercooling value (ΔT) and Latent heat of fusion (ΔH_f) and hit the calculate button. Here is how the Critical radius of nucleus calculation can be explained with given input values -> 3.333333 = 2*0.2*1000/(1200000000*100).

FAQ

What is Critical radius of nucleus?

Critical radius of nucleus is the minimum radius of a stable nucleus formed during solidification, assuming homogeneous nucleation conditions and is represented as r*=2*𝛾*T_m/(ΔH_f*ΔT) or Critical radius of nucleus=2*Surface free energy*Melting temperature/(Latent heat of fusion*Undercooling value). 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 radius of nucleus?

Critical radius of nucleus is the minimum radius of a stable nucleus formed during solidification, assuming homogeneous nucleation conditions is calculated using Critical radius of nucleus=2*Surface free energy*Melting temperature/(Latent heat of fusion*Undercooling value). To calculate Critical radius of nucleus, you need Surface free energy (𝛾), Melting temperature (T_m), Undercooling value (ΔT) and Latent heat of fusion (ΔH_f). 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 radius of nucleus?

In this formula, Critical radius of nucleus 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 radius of nucleus=-2*Surface free energy/Volume free energy

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