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Critical radius of nucleus (from volume free energy) Formula

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Critical radius of nucleus is the minimum size of a stable nucleus formed during solidification. Check FAQs

r * = - 2 \cdot \frac{𝛾}{𝚫G v}

r_* - Critical radius of nucleus?𝛾 - Surface free energy?𝚫G_v - Volume free energy?

Critical radius of nucleus (from volume free energy) Example

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Here is how the Critical radius of nucleus (from volume free energy) equation looks like with Values.

Here is how the Critical radius of nucleus (from volume free energy) equation looks like with Units.

Here is how the Critical radius of nucleus (from volume free energy) equation looks like.

40000 = - 2 \cdot \frac{0.2}{-10000}

40000nm = - 2 \cdot \frac{0.2J/m²}{-10000J/m³}

40000 = - 2 \cdot \frac{0.2}{-10000}

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Critical radius of nucleus (from volume free energy) Solution

Follow our step by step solution on how to calculate Critical radius of nucleus (from volume free energy)?

FIRST Step Consider the formula

r * = - 2 \cdot \frac{𝛾}{𝚫G v}

Next Step Substitute values of Variables

∴

r * = - 2 \cdot \frac{0.2J/m²}{-10000J/m³}

Next Step Prepare to Evaluate

∴

r * = - 2 \cdot \frac{0.2}{-10000}

Next Step Evaluate

∴

r * = 4E-05m

LAST Step Convert to Output's Unit

∴

r * = 40000nm

Critical radius of nucleus (from volume free energy) Formula Elements

Variables

Critical radius of nucleus

Critical radius of nucleus is the minimum size of a stable nucleus formed during solidification.

Symbol: r_*

Measurement: LengthUnit: nm

Note: Value should be greater than 0.

Formulas to find Critical radius of nucleus

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

Other Formulas to find Critical radius of nucleus

Go Critical radius of nucleus

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

Other formulas in Kinetics of Phase Transformation category

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}}

Go Volume free energy

𝚫G v = ΔH f \cdot \frac{ΔT}{T m}

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

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

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 radius of nucleus (from volume free energy)?

Critical radius of nucleus (from volume free energy) evaluator uses Critical radius of nucleus = -2*Surface free energy/Volume free energy to evaluate the Critical radius of nucleus, Critical radius of nucleus (from volume free energy) is the minimum radius of a stable nucleus formed during solidification, assuming homogeneous nucleation conditions. Critical radius of nucleus is denoted by r_* symbol.

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

FAQs on Critical radius of nucleus (from volume free energy)

What is the formula to find Critical radius of nucleus (from volume free energy)?

The formula of Critical radius of nucleus (from volume free energy) is expressed as Critical radius of nucleus = -2*Surface free energy/Volume free energy. Here is an example- 4E+13 = -2*0.2/(-10000).

How to calculate Critical radius of nucleus (from volume free energy)?

With Surface free energy (𝛾) & Volume free energy (𝚫G_v) we can find Critical radius of nucleus (from volume free energy) using the formula - Critical radius of nucleus = -2*Surface free energy/Volume free energy.

What are the other ways to Calculate Critical radius of nucleus?

Here are the different ways to Calculate Critical radius of nucleus-

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

Can the Critical radius of nucleus (from volume free energy) be negative?

No, the Critical radius of nucleus (from volume free energy), measured in Length cannot be negative.

Which unit is used to measure Critical radius of nucleus (from volume free energy)?

Critical radius of nucleus (from volume free energy) is usually measured using the Nanometer[nm] for Length. Meter[nm], Millimeter[nm], Kilometer[nm] are the few other units in which Critical radius of nucleus (from volume free energy) can be measured.

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