Number of Tetrahedral Voids Calculator

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Inter-planar distance and inter-planar angle

✖The Number of Closed Packed Spheres is the total number of closely packed atoms in the crystal structure.ⓘ Number of Closed Packed Spheres [N_closed]

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✖The Number of Tetrahedral Voids is the total number of tetrahedral voids present in the crystal structure.ⓘ Number of Tetrahedral Voids [T_voids]

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Formula

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Number of Tetrahedral Voids

Formula

`"T"_{"voids"} = 2*"N"_{"closed"}`

Example

`"92"=2*"46"`

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Number of Tetrahedral Voids Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number of Tetrahedral Voids = 2*Number of Closed Packed Spheres
T_voids = 2*N_closed
This formula uses 2 Variables

Variables Used

Number of Tetrahedral Voids - The Number of Tetrahedral Voids is the total number of tetrahedral voids present in the crystal structure.
Number of Closed Packed Spheres - The Number of Closed Packed Spheres is the total number of closely packed atoms in the crystal structure.

STEP 1: Convert Input(s) to Base Unit

Number of Closed Packed Spheres: 46 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_voids = 2*N_closed --> 2*46

Evaluating ... ...

T_voids = 92

STEP 3: Convert Result to Output's Unit

92 --> No Conversion Required

FINAL ANSWER

92 <-- Number of Tetrahedral Voids

(Calculation completed in 00.005 seconds)

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Credits

Created by Pragati Jaju

College Of Engineering (COEP), Pune

Pragati Jaju has created this Calculator and 50+ more calculators!

Verified by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

Akshada Kulkarni has verified this Calculator and 900+ more calculators!

< 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

Number of Tetrahedral Voids Formula

Number of Tetrahedral Voids = 2*Number of Closed Packed Spheres
T_voids = 2*N_closed

What is Tetrahedral Void?

The void surrounded by four spheres sitting at the corners of a regular tetrahedron is called a tetrahedral void.

Whenever the sphere of the second layer is above the void of the first layer a tetrahedral void is formed.
These voids are called tetrahedral voids because a tetrahedron is formed when these four spheres are joined.

How to Calculate Number of Tetrahedral Voids?

Number of Tetrahedral Voids calculator uses Number of Tetrahedral Voids = 2*Number of Closed Packed Spheres to calculate the Number of Tetrahedral Voids, The Number of Tetrahedral Voids formula is defined as two times the number of closely packed atoms present in the crystal structure. Number of Tetrahedral Voids is denoted by T_voids symbol.

How to calculate Number of Tetrahedral Voids using this online calculator? To use this online calculator for Number of Tetrahedral Voids, enter Number of Closed Packed Spheres (N_closed) and hit the calculate button. Here is how the Number of Tetrahedral Voids calculation can be explained with given input values -> 92 = 2*46.

FAQ

What is Number of Tetrahedral Voids?

The Number of Tetrahedral Voids formula is defined as two times the number of closely packed atoms present in the crystal structure and is represented as T_voids = 2*N_closed or Number of Tetrahedral Voids = 2*Number of Closed Packed Spheres. The Number of Closed Packed Spheres is the total number of closely packed atoms in the crystal structure.

How to calculate Number of Tetrahedral Voids?

The Number of Tetrahedral Voids formula is defined as two times the number of closely packed atoms present in the crystal structure is calculated using Number of Tetrahedral Voids = 2*Number of Closed Packed Spheres. To calculate Number of Tetrahedral Voids, you need Number of Closed Packed Spheres (N_closed). With our tool, you need to enter the respective value for Number of Closed Packed Spheres 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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