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Critical free energy for nucleation( from volume free energy) Formula

GoCritical free energy for nucleation Formula

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Critical free energy for the formation of stable nuclei. Check FAQs

ΔG * = 16 \cdot π \cdot \frac{𝛾^{3}}{3 \cdot {𝚫G v}^{2}}

ΔG_* - Critical free energy?𝛾 - Surface free energy?𝚫G_v - Volume free energy?π - Archimedes' constant?

Critical free energy for nucleation( from volume free energy) Example

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Here is how the Critical free energy for nucleation( from volume free energy) equation looks like with Values.

Here is how the Critical free energy for nucleation( from volume free energy) equation looks like with Units.

Here is how the Critical free energy for nucleation( from volume free energy) equation looks like.

1.3E-9 = 16 \cdot 3.1416 \cdot \frac{{0.2}^{3}}{3 \cdot {-10000}^{2}}

1.3E-9J = 16 \cdot 3.1416 \cdot \frac{{0.2J/m²}^{3}}{3 \cdot {-10000J/m³}^{2}}

1.3E-9 = 16 \cdot 3.1416 \cdot \frac{{0.2}^{3}}{3 \cdot {-10000}^{2}}

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Critical free energy for nucleation( from volume free energy) Solution

Follow our step by step solution on how to calculate Critical free energy for nucleation( from volume free energy)?

FIRST Step Consider the formula

ΔG * = 16 \cdot π \cdot \frac{𝛾^{3}}{3 \cdot {𝚫G v}^{2}}

Next Step Substitute values of Variables

∴

ΔG * = 16 \cdot π \cdot \frac{{0.2J/m²}^{3}}{3 \cdot {-10000J/m³}^{2}}

Next Step Substitute values of Constants

∴

ΔG * = 16 \cdot 3.1416 \cdot \frac{{0.2J/m²}^{3}}{3 \cdot {-10000J/m³}^{2}}

Next Step Prepare to Evaluate

∴

ΔG * = 16 \cdot 3.1416 \cdot \frac{{0.2}^{3}}{3 \cdot {-10000}^{2}}

Next Step Evaluate

∴

ΔG * = 1.34041286553165E-09J

LAST Step Rounding Answer

∴

ΔG * = 1.3E-9J

Critical free energy for nucleation( from volume free energy) Formula Elements

Variables

Constants

Critical free energy

Critical free energy for the formation of stable nuclei.

Symbol: ΔG_*

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Critical free energy

Surface free energy

Surface free energy is the energy to create solid–liquid phase boundary during the solidification.

Symbol: 𝛾

Measurement: Heat DensityUnit: J/m²

Note: Value should be greater than 0.

Formulas to find Surface free energy

Volume free energy

Volume free energy is the free energy difference between the solid and liquid phases.

Symbol: 𝚫G_v

Measurement: Heat of Combustion (per Volume)Unit: J/m³

Note: Value can be positive or negative.

Formulas to find Volume free energy

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Critical free energy

Go Critical free energy for nucleation

ΔG * = 16 \cdot π \cdot 𝛾^{3} \cdot \frac{{T m}^{2}}{3 \cdot {ΔH f}^{2} \cdot {ΔT}^{2}}

Other formulas in Kinetics of Phase Transformation category

Go Critical radius of nucleus

r * = 2 \cdot 𝛾 \cdot \frac{T m}{ΔH f \cdot ΔT}

Go Volume free energy

𝚫G v = ΔH f \cdot \frac{ΔT}{T m}

Go Critical radius of nucleus (from volume free energy)

r * = - 2 \cdot \frac{𝛾}{𝚫G v}

Go Total free energy change during solidification

𝚫G = ((\frac{4}{3}) \cdot π \cdot r^{3} \cdot 𝚫G v) + (4 \cdot π \cdot r^{2} \cdot 𝛾)

How to Evaluate Critical free energy for nucleation( from volume free energy)?

Critical free energy for nucleation( from volume free energy) evaluator uses Critical free energy = 16*pi*Surface free energy^3/(3*Volume free energy^2) to evaluate the Critical free energy, Critical free energy for nucleation( from volume free energy) 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 is denoted by ΔG_* symbol.

How to evaluate Critical free energy for nucleation( from volume free energy) using this online evaluator? To use this online evaluator for Critical free energy for nucleation( from volume free energy), enter Surface free energy (𝛾) & Volume free energy (𝚫G_v) and hit the calculate button.

FAQs on Critical free energy for nucleation( from volume free energy)

What is the formula to find Critical free energy for nucleation( from volume free energy)?

The formula of Critical free energy for nucleation( from volume free energy) is expressed as Critical free energy = 16*pi*Surface free energy^3/(3*Volume free energy^2). Here is an example- 1.3E-9 = 16*pi*0.2^3/(3*(-10000)^2).

How to calculate Critical free energy for nucleation( from volume free energy)?

With Surface free energy (𝛾) & Volume free energy (𝚫G_v) we can find Critical free energy for nucleation( from volume free energy) using the formula - Critical free energy = 16*pi*Surface free energy^3/(3*Volume free energy^2). This formula also uses Archimedes' constant .

What are the other ways to Calculate Critical free energy?

Here are the different ways to Calculate Critical free energy-

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

Can the Critical free energy for nucleation( from volume free energy) be negative?

Yes, the Critical free energy for nucleation( from volume free energy), measured in Energy can be negative.

Which unit is used to measure Critical free energy for nucleation( from volume free energy)?

Critical free energy for nucleation( from volume free energy) is usually measured using the Joule[J] for Energy. Kilojoule[J], Gigajoule[J], Megajoule[J] are the few other units in which Critical free energy for nucleation( from volume free energy) can be measured.

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