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Energy per vacancy Formula

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The Energy Required per Vacancy is E is the energy required to create one vacancy in the crystal lattice. Check FAQs

ΔE vacancy = - \ln (f vacancy) \cdot [R] \cdot T

ΔE_vacancy - Energy Required per Vacancy?f_vacancy - Fraction of Vacancy?T - Temperature?[R] - Universal gas constant?

Energy per vacancy Example

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Here is how the Energy per vacancy equation looks like with Values.

Here is how the Energy per vacancy equation looks like with Units.

Here is how the Energy per vacancy equation looks like.

361.0154 = - \ln (0.6) \cdot 8.3145 \cdot 85

361.0154J = - \ln (0.6) \cdot 8.3145 \cdot 85K

361.0154 = - \ln (0.6) \cdot 8.3145 \cdot 85

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Energy per vacancy Solution

Follow our step by step solution on how to calculate Energy per vacancy?

FIRST Step Consider the formula

ΔE vacancy = - \ln (f vacancy) \cdot [R] \cdot T

Next Step Substitute values of Variables

∴

ΔE vacancy = - \ln (0.6) \cdot [R] \cdot 85K

Next Step Substitute values of Constants

∴

ΔE vacancy = - \ln (0.6) \cdot 8.3145 \cdot 85K

Next Step Prepare to Evaluate

∴

ΔE vacancy = - \ln (0.6) \cdot 8.3145 \cdot 85

Next Step Evaluate

∴

ΔE vacancy = 361.015447021757J

LAST Step Rounding Answer

∴

ΔE vacancy = 361.0154J

Energy per vacancy Formula Elements

Variables

Constants

Functions

Energy Required per Vacancy

The Energy Required per Vacancy is E is the energy required to create one vacancy in the crystal lattice.

Symbol: ΔE_vacancy

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Energy Required per Vacancy

Fraction of Vacancy

The Fraction of Vacancy is the ratio of vacant crystal lattice to total no. of crystal lattice.

Symbol: f_vacancy

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Fraction of Vacancy

Temperature

Temperature is the degree or intensity of heat present in a substance or object.

Symbol: T

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature

Universal gas constant

Universal gas constant is a fundamental physical constant that appears in the ideal gas law, relating the pressure, volume, and temperature of an ideal gas.

Symbol: [R]

Value: 8.31446261815324

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

Other formulas in Lattice category

Go Packing Efficiency

P = (\frac{v}{V}) \cdot 100

Go Edge length of Simple cubic unit cell

a = 2 \cdot R

Go Edge length of Body Centered Unit Cell

a = 4 \cdot \frac{R}{\sqrt{3}}

Go Edge Length of Face Centered Unit Cell

a = 2 \cdot \sqrt{2} \cdot R

How to Evaluate Energy per vacancy?

Energy per vacancy evaluator uses Energy Required per Vacancy = -ln(Fraction of Vacancy)*[R]*Temperature to evaluate the Energy Required per Vacancy, The Energy per vacancy is the energy required to create one vacant lattice point in a crystal lattice. Energy Required per Vacancy is denoted by ΔE_vacancy symbol.

How to evaluate Energy per vacancy using this online evaluator? To use this online evaluator for Energy per vacancy, enter Fraction of Vacancy (f_vacancy) & Temperature (T) and hit the calculate button.

FAQs on Energy per vacancy

What is the formula to find Energy per vacancy?

The formula of Energy per vacancy is expressed as Energy Required per Vacancy = -ln(Fraction of Vacancy)*[R]*Temperature. Here is an example- 361.0154 = -ln(0.6)*[R]*85.

How to calculate Energy per vacancy?

With Fraction of Vacancy (f_vacancy) & Temperature (T) we can find Energy per vacancy using the formula - Energy Required per Vacancy = -ln(Fraction of Vacancy)*[R]*Temperature. This formula also uses Universal gas constant and Natural Logarithm (ln) function(s).

Can the Energy per vacancy be negative?

Yes, the Energy per vacancy, measured in Energy can be negative.

Which unit is used to measure Energy per vacancy?

Energy per vacancy is usually measured using the Joule[J] for Energy. Kilojoule[J], Gigajoule[J], Megajoule[J] are the few other units in which Energy per vacancy can be measured.

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Energy per vacancy Formula

Energy per vacancy Example

Energy per vacancy Solution

Energy per vacancy Formula Elements

Other formulas in Lattice category

How to Evaluate Energy per vacancy?

FAQs on Energy per vacancy

Variable Name