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Total free energy change during solidification Calculator

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✖Radius of nucleus is the radius of nucleus formed during the solidification.ⓘ Radius of nucleus [r]			+10% -10%
✖Volume free energy is the free energy difference between the solid and liquid phases.ⓘ Volume free energy [𝚫G_v]			+10% -10%
✖Surface free energy is the energy to create solid–liquid phase boundary during the solidification.ⓘ Surface free energy [𝛾]			+10% -10%

✖Total free energy change is the difference in free energy due to solidification including both volumetric and surface area contributions.ⓘ Total free energy change during solidification [𝚫G]

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Total free energy change during solidification Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total free energy change = ((4/3)*pi*Radius of nucleus^3*Volume free energy)+(4*pi*Radius of nucleus^2*Surface free energy)
𝚫G = ((4/3)*pi*r^3*𝚫G_v)+(4*pi*r^2*𝛾)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Total free energy change - (Measured in Joule) - Total free energy change is the difference in free energy due to solidification including both volumetric and surface area contributions.
Radius of nucleus - (Measured in Meter) - Radius of nucleus is the radius of nucleus formed during the solidification.
Volume free energy - (Measured in Joule per Cubic Meter) - Volume free energy is the free energy difference between the solid and liquid phases.
Surface free energy - (Measured in Joule per Square Meter) - Surface free energy is the energy to create solid–liquid phase boundary during the solidification.

STEP 1: Convert Input(s) to Base Unit

Radius of nucleus: 10 Nanometer --> 1E-08 Meter (Check conversion here)
Volume free energy: -10000 Joule per Cubic Meter --> -10000 Joule per Cubic Meter No Conversion Required
Surface free energy: 0.2 Joule per Square Meter --> 0.2 Joule per Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝚫G = ((4/3)*pi*r^3*𝚫G_v)+(4*pi*r^2*𝛾) --> ((4/3)*pi*1E-08^3*(-10000))+(4*pi*1E-08^2*0.2)

Evaluating ... ...

𝚫G = 2.51285524385136E-16

STEP 3: Convert Result to Output's Unit

2.51285524385136E-16 Joule --> No Conversion Required

FINAL ANSWER

2.51285524385136E-16 ≈ 2.5E-16 Joule <-- Total free energy change

(Calculation completed in 00.020 seconds)

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< Kinetics of Phase Transformation Calculators

Critical free energy for nucleation

LaTeX Go Critical free energy = 16*pi*Surface free energy^3*Melting temperature^2/(3*Latent Heat of Fusion^2*Undercooling value^2)

Critical radius of nucleus

LaTeX Go Critical radius of nucleus = 2*Surface free energy*Melting temperature/(Latent Heat of Fusion*Undercooling value)

Volume free energy

LaTeX Go Volume free energy = Latent Heat of Fusion*Undercooling value/Melting temperature

Critical radius of nucleus (from volume free energy)

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

Total free energy change during solidification Formula

LaTeX Go

Total free energy change = ((4/3)*pi*Radius of nucleus^3*Volume free energy)+(4*pi*Radius of nucleus^2*Surface free energy)
𝚫G = ((4/3)*pi*r^3*𝚫G_v)+(4*pi*r^2*𝛾)

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 Total free energy change during solidification?

Total free energy change during solidification calculator uses Total free energy change = ((4/3)*pi*Radius of nucleus^3*Volume free energy)+(4*pi*Radius of nucleus^2*Surface free energy) to calculate the Total free energy change, Total free energy change during solidification is the difference in free energy due to solidification including both volumetric and surface area contributions. Total free energy change is denoted by 𝚫G symbol.

How to calculate Total free energy change during solidification using this online calculator? To use this online calculator for Total free energy change during solidification, enter Radius of nucleus (r), Volume free energy (𝚫G_v) & Surface free energy (𝛾) and hit the calculate button. Here is how the Total free energy change during solidification calculation can be explained with given input values -> 2.5E-16 = ((4/3)*pi*1E-08^3*(-10000))+(4*pi*1E-08^2*0.2).

FAQ

What is Total free energy change during solidification?

Total free energy change during solidification is the difference in free energy due to solidification including both volumetric and surface area contributions and is represented as 𝚫G = ((4/3)*pi*r^3*𝚫G_v)+(4*pi*r^2*𝛾) or Total free energy change = ((4/3)*pi*Radius of nucleus^3*Volume free energy)+(4*pi*Radius of nucleus^2*Surface free energy). Radius of nucleus is the radius of 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 solid–liquid phase boundary during the solidification.

How to calculate Total free energy change during solidification?

Total free energy change during solidification is the difference in free energy due to solidification including both volumetric and surface area contributions is calculated using Total free energy change = ((4/3)*pi*Radius of nucleus^3*Volume free energy)+(4*pi*Radius of nucleus^2*Surface free energy). To calculate Total free energy change during solidification, you need Radius of nucleus (r), Volume free energy (𝚫G_v) & Surface free energy (𝛾). With our tool, you need to enter the respective value for Radius of nucleus, Volume free energy & Surface free energy and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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