Fraction of Vacancy in lattice Calculator

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Inter-planar distance and inter-planar angle

✖The Number of Vacant Lattice is the number of crystal lattices which are unoccupied by atoms or ions.ⓘ Number of Vacant Lattice [N_v]			+10% -10%
✖The Total no. of lattice points are the specific positions in the crystal occupied by atoms or ions.ⓘ Total no. of lattice points [N]			+10% -10%

✖The Fraction of Vacancy is the ratio of vacant crystal lattice to total no. of crystal lattice.ⓘ Fraction of Vacancy in lattice [f_vacancy]

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Formula

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Fraction of Vacancy in lattice

Formula

`"f"_{"vacancy"} = "N"_{"v"}/"N"`

Example

`"0.8"="8"/"10"`

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Fraction of Vacancy in lattice Solution

STEP 0: Pre-Calculation Summary

Formula Used

Fraction of Vacancy = Number of Vacant Lattice/Total no. of lattice points
f_vacancy = N_v/N
This formula uses 3 Variables

Variables Used

Fraction of Vacancy - The Fraction of Vacancy is the ratio of vacant crystal lattice to total no. of crystal lattice.
Number of Vacant Lattice - The Number of Vacant Lattice is the number of crystal lattices which are unoccupied by atoms or ions.
Total no. of lattice points - The Total no. of lattice points are the specific positions in the crystal occupied by atoms or ions.

STEP 1: Convert Input(s) to Base Unit

Number of Vacant Lattice: 8 --> No Conversion Required
Total no. of lattice points: 10 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_vacancy = N_v/N --> 8/10

Evaluating ... ...

f_vacancy = 0.8

STEP 3: Convert Result to Output's Unit

0.8 --> No Conversion Required

FINAL ANSWER

0.8 <-- Fraction of Vacancy

(Calculation completed in 00.004 seconds)

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Created by Prerana Bakli

University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

Prerana Bakli has created this Calculator and 800+ more calculators!

Verified by Prashant Singh

K J Somaiya College of science (K J Somaiya), Mumbai

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< 24 Lattice Calculators

Miller index along X-axis using Weiss Indices

Go Miller Index along x-axis = lcm(Weiss Index along x-axis,Weiss Index along y-axis,Weiss Index Along z-axis)/Weiss Index along x-axis

Miller index along Y-axis using Weiss Indices

Go Miller Index along y-axis = lcm(Weiss Index along x-axis,Weiss Index along y-axis,Weiss Index Along z-axis)/Weiss Index along y-axis

Miller index along Z-axis using Weiss Indices

Go Miller Index along z-axis = lcm(Weiss Index along x-axis,Weiss Index along y-axis,Weiss Index Along z-axis)/Weiss Index Along z-axis

Edge Length using Interplanar Distance of Cubic Crystal

Go Edge Length = Interplanar Spacing*sqrt((Miller Index along x-axis^2)+(Miller Index along y-axis^2)+(Miller Index along z-axis^2))

Fraction of impurity in lattice terms of Energy

Go Fraction of Impurities = exp(-Energy required per impurity/([R]*Temperature))

Energy per impurity

Go Energy required per impurity = -ln(Fraction of Impurities)*[R]*Temperature

Fraction of Vacancy in lattice terms of Energy

Go Fraction of Vacancy = exp(-Energy Required per Vacancy/([R]*Temperature))

Energy per vacancy

Go Energy Required per Vacancy = -ln(Fraction of Vacancy)*[R]*Temperature

Packing Efficiency

Go Packing Efficiency = (Volume Occupied by Spheres in Unit Cell/Total Volume of Unit Cell)*100

Number of lattice containing impurities

Go No. of Lattice Occupied by Impurities = Fraction of Impurities*Total no. of lattice points

Fraction of impurity in lattice

Go Fraction of Impurities = No. of Lattice Occupied by Impurities/Total no. of lattice points

Fraction of Vacancy in lattice

Go Fraction of Vacancy = Number of Vacant Lattice/Total no. of lattice points

Number of vacant lattice

Go Number of Vacant Lattice = Fraction of Vacancy*Total no. of lattice points

Weiss Index along X-axis using Miller Indices

Go Weiss Index along x-axis = LCM of Weiss Indices/Miller Index along x-axis

Weiss Index along Y-axis using Miller Indices

Go Weiss Index along y-axis = LCM of Weiss Indices/Miller Index along y-axis

Weiss Index along Z-axis using Miller Indices

Go Weiss Index Along z-axis = LCM of Weiss Indices/Miller Index along z-axis

Radius of Constituent Particle in BCC lattice

Go Radius of Constituent Particle = 3*sqrt(3)*Edge Length/4

Edge length of Body Centered Unit Cell

Go Edge Length = 4*Radius of Constituent Particle/sqrt(3)

Edge Length of Face Centered Unit Cell

Go Edge Length = 2*sqrt(2)*Radius of Constituent Particle

Radius Ratio

Go Radius Ratio = Radius of Cation/Radius of Anion

Number of Tetrahedral Voids

Go Number of Tetrahedral Voids = 2*Number of Closed Packed Spheres

Radius of Constituent Particle in FCC lattice

Go Radius of Constituent Particle = Edge Length/2.83

Radius of Constituent particle in Simple Cubic Unit Cell

Go Radius of Constituent Particle = Edge Length/2

Edge length of Simple cubic unit cell

Go Edge Length = 2*Radius of Constituent Particle

Fraction of Vacancy in lattice Formula

Fraction of Vacancy = Number of Vacant Lattice/Total no. of lattice points
f_vacancy = N_v/N

What are defects in crystal?

The arrangement of the atoms in all materials contains imperfections which have profound effect on the behavior of the materials.
Lattice defects can be sorted into three
1. Point defects (vacancies, interstitial defects, substitution defects)
2. Line defect (screw dislocation, edge dislocation)
3. surface defects (material surface, grain boundaries)

Why defect are important?

There are a lot of properties that are controlled or affected by
defects, for example:
1. Electric and thermal conductivity in metals (strongly reduced by
point defects).
2. Electronic conductivity in semi-conductors (controlled by substitution
defects).
3. Diffusion (controlled by vacancies).
4. Ionic conductivity (controlled by vacancies).
5. Plastic deformation in crystalline materials (controlled by
dislocation).
6. Colors (affected by defects).
7. Mechanical strength (strongly depended on defects).

How to Calculate Fraction of Vacancy in lattice?

Fraction of Vacancy in lattice calculator uses Fraction of Vacancy = Number of Vacant Lattice/Total no. of lattice points to calculate the Fraction of Vacancy, The Fraction of Vacancy in lattice is the ratio of vacant crystal lattice to total no. of crystal lattice. Fraction of Vacancy is denoted by f_vacancy symbol.

How to calculate Fraction of Vacancy in lattice using this online calculator? To use this online calculator for Fraction of Vacancy in lattice, enter Number of Vacant Lattice (N_v) & Total no. of lattice points (N) and hit the calculate button. Here is how the Fraction of Vacancy in lattice calculation can be explained with given input values -> 0.8 = 8/10.

FAQ

What is Fraction of Vacancy in lattice?

The Fraction of Vacancy in lattice is the ratio of vacant crystal lattice to total no. of crystal lattice and is represented as f_vacancy = N_v/N or Fraction of Vacancy = Number of Vacant Lattice/Total no. of lattice points. The Number of Vacant Lattice is the number of crystal lattices which are unoccupied by atoms or ions & The Total no. of lattice points are the specific positions in the crystal occupied by atoms or ions.

How to calculate Fraction of Vacancy in lattice?

The Fraction of Vacancy in lattice is the ratio of vacant crystal lattice to total no. of crystal lattice is calculated using Fraction of Vacancy = Number of Vacant Lattice/Total no. of lattice points. To calculate Fraction of Vacancy in lattice, you need Number of Vacant Lattice (N_v) & Total no. of lattice points (N). With our tool, you need to enter the respective value for Number of Vacant Lattice & Total no. of lattice points and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Fraction of Vacancy?

In this formula, Fraction of Vacancy uses Number of Vacant Lattice & Total no. of lattice points. We can use 1 other way(s) to calculate the same, which is/are as follows -

Fraction of Vacancy = exp(-Energy Required per Vacancy/([R]*Temperature))

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