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))
Nv = N*exp(-Qv/([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
Nv = N*exp(-Qv/([BoltZ]*T)) --> 8E+28*exp(-1.44195959700001E-19/([BoltZ]*85))
Evaluating ... ...
Nv = 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 00.004 seconds)

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Equilibrium Vacancy Concentration Formula

​LaTeX ​Go
Number of vacancies = Number of atomic sites*exp(-Activation energy for vacancy formation/([BoltZ]*Temperature))
Nv = N*exp(-Qv/([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 Nv 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 (Qv) & 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 Nv = N*exp(-Qv/([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 (Qv) & 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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