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Equilibrium Vacancy Concentration Calculator

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✖Number of atomic sites per cubic metre.ⓘ Number of atomic sites [N]			+10% -10%
✖Activation energy for vacancy formation is the energy needed for formation of a vacancy.ⓘ Activation energy for vacancy formation [Q_v]			+10% -10%
✖Temperature is the degree or intensity of heat present in a substance or object.ⓘ Temperature [T]			+10% -10%

✖Number of vacancies per cubic metre.ⓘ Equilibrium Vacancy Concentration [N_v]

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Equilibrium Vacancy Concentration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number of vacancies = Number of atomic sites*exp(-Activation energy for vacancy formation/([BoltZ]*Temperature))
N_v = N*exp(-Q_v/([BoltZ]*T))
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

[BoltZ] - Boltzmann constant Value Taken As 1.38064852E-23

Functions Used

exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)

Variables Used

Number of vacancies - Number of vacancies per cubic metre.
Number of atomic sites - Number of atomic sites per cubic metre.
Activation energy for vacancy formation - (Measured in Joule) - Activation energy for vacancy formation is the energy needed for formation of a vacancy.
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.

STEP 1: Convert Input(s) to Base Unit

Number of atomic sites: 8E+28 --> No Conversion Required
Activation energy for vacancy formation: 0.9 Electron-Volt --> 1.44195959700001E-19 Joule (Check conversion here)
Temperature: 85 Kelvin --> 85 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_v = N*exp(-Q_v/([BoltZ]*T)) --> 8E+28*exp(-1.44195959700001E-19/([BoltZ]*85))

Evaluating ... ...

N_v = 3.47288975669238E-25

STEP 3: Convert Result to Output's Unit

3.47288975669238E-25 --> No Conversion Required

FINAL ANSWER

3.47288975669238E-25 ≈ 3.5E-25 <-- Number of vacancies

(Calculation completed in 00.020 seconds)

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< Composition and Diffusion Calculators

Atom percent to mass percent

LaTeX Go Mass Percent of First Element = Atomic percent of first element*Atomic mass of first element*100/(Atomic percent of first element*Atomic mass of first element+(100-Atomic percent of first element)*Atomic mass of second element)

Mass percent to volume percent

LaTeX Go Volume percent of first phase = Mass percent of first phase*Density of the second phase*100/(Mass percent of first phase*Density of the second phase+(100-Mass percent of first phase)*Density of the first phase)

Entropy of mixing

LaTeX Go Entropy of mixing = 8.314*(Mole fraction of element A*ln(Mole fraction of element A)+(1-Mole fraction of element A)*ln(1-Mole fraction of element A))

Diffusion Flux

LaTeX Go Diffusion flux = Diffusion Coefficient*(Concentration difference/Distance)

Equilibrium Vacancy Concentration Formula

LaTeX Go

Number of vacancies = Number of atomic sites*exp(-Activation energy for vacancy formation/([BoltZ]*Temperature))
N_v = N*exp(-Q_v/([BoltZ]*T))

Vacancy - Equilibrium defects

All crystalline solids contain vacancies and, in fact, it is not possible to create such a material that is free of these defects. The necessity of the existence of vacancies is explained using principles of thermodynamics; in essence, the presence of vacancies increases the entropy (i.e., the randomness) of the crystal.

How to Calculate Equilibrium Vacancy Concentration?

Equilibrium Vacancy Concentration calculator uses Number of vacancies = Number of atomic sites*exp(-Activation energy for vacancy formation/([BoltZ]*Temperature)) to calculate the Number of vacancies, Equilibrium Vacancy Concentration is the number of vacancy per cubic metre at a given temperature. Number of vacancies is denoted by N_v symbol.

How to calculate Equilibrium Vacancy Concentration using this online calculator? To use this online calculator for Equilibrium Vacancy Concentration, enter Number of atomic sites (N), Activation energy for vacancy formation (Q_v) & Temperature (T) and hit the calculate button. Here is how the Equilibrium Vacancy Concentration calculation can be explained with given input values -> 3.5E-25 = 8E+28*exp(-1.44195959700001E-19/([BoltZ]*85)).

FAQ

What is Equilibrium Vacancy Concentration?

Equilibrium Vacancy Concentration is the number of vacancy per cubic metre at a given temperature and is represented as N_v = N*exp(-Q_v/([BoltZ]*T)) or Number of vacancies = Number of atomic sites*exp(-Activation energy for vacancy formation/([BoltZ]*Temperature)). Number of atomic sites per cubic metre, Activation energy for vacancy formation is the energy needed for formation of a vacancy & Temperature is the degree or intensity of heat present in a substance or object.

How to calculate Equilibrium Vacancy Concentration?

Equilibrium Vacancy Concentration is the number of vacancy per cubic metre at a given temperature is calculated using Number of vacancies = Number of atomic sites*exp(-Activation energy for vacancy formation/([BoltZ]*Temperature)). To calculate Equilibrium Vacancy Concentration, you need Number of atomic sites (N), Activation energy for vacancy formation (Q_v) & Temperature (T). With our tool, you need to enter the respective value for Number of atomic sites, Activation energy for vacancy formation & Temperature 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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