Volume of Body Centered Unit Cell Calculator

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Inter-planar distance and inter-planar angle

✖The Radius of Constituent Particle is the radius of the atom present in the unit cell.ⓘ Radius of Constituent Particle [R]

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✖Volume is the amount of space that a substance or object occupies or that is enclosed within a container.ⓘ Volume of Body Centered Unit Cell [V_T]

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Formula

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Volume of Body Centered Unit Cell

Formula

`"V"_{"T"} = (4*"R"/sqrt(3))^3`

Example

`"2.7E^-24m³"=(4*"60A"/sqrt(3))^3`

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Volume of Body Centered Unit Cell Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume = (4*Radius of Constituent Particle/sqrt(3))^3
V_T = (4*R/sqrt(3))^3
This formula uses 1 Functions, 2 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Volume - (Measured in Cubic Meter) - Volume is the amount of space that a substance or object occupies or that is enclosed within a container.
Radius of Constituent Particle - (Measured in Meter) - The Radius of Constituent Particle is the radius of the atom present in the unit cell.

STEP 1: Convert Input(s) to Base Unit

Radius of Constituent Particle: 60 Angstrom --> 6E-09 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_T = (4*R/sqrt(3))^3 --> (4*6E-09/sqrt(3))^3

Evaluating ... ...

V_T = 2.6604300404258E-24

STEP 3: Convert Result to Output's Unit

2.6604300404258E-24 Cubic Meter --> No Conversion Required

FINAL ANSWER

2.6604300404258E-24 ≈ 2.7E-24 Cubic Meter <-- Volume

(Calculation completed in 00.004 seconds)

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Created by Pragati Jaju

College Of Engineering (COEP), Pune

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National Institute of Information Technology (NIIT), Neemrana

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< 11 Volume of Different Cubic Cell Calculators

Volume of Triclinic cell

Go Volume = (Lattice Constant a*Lattice Constant b*Lattice Constant c)*sqrt(1-(cos(Lattice parameter alpha)^2)-(cos(Lattice Parameter Beta)^2)-(cos(Lattice Parameter gamma)^2)+(2*cos(Lattice parameter alpha)*cos(Lattice Parameter Beta)*cos(Lattice Parameter gamma)))

Volume of Rhombohedral cell

Go Volume = (Lattice Constant a^3)*sqrt(1-(3*(cos(Lattice parameter alpha)^2))+(2*(cos(Lattice parameter alpha)^3)))

Volume of Monoclinic cell

Go Volume = Lattice Constant a*Lattice Constant b*Lattice Constant c*sin(Lattice Parameter Beta)

Volume of Orthorhombic cell

Go Volume = Lattice Constant a*Lattice Constant b*Lattice Constant c

Volume of Hexagonal cell

Go Volume = (Lattice Constant a^2)*Lattice Constant c*0.866

Volume of Body Centered Unit Cell

Go Volume = (4*Radius of Constituent Particle/sqrt(3))^3

Volume of face Centered Unit Cell

Go Volume = (2*sqrt(2)*Radius of Constituent Particle)^3

Volume of Tetragonal cell

Go Volume = (Lattice Constant a^2)*Lattice Constant c

Volume of Simple Cubic Unit Cell

Go Volume = (2*Radius of Constituent Particle)^3

Volume of cubic cell

Go Volume = (Lattice Constant a^3)

Volume of Unit cell

Go Volume = Edge Length^3

Volume of Body Centered Unit Cell Formula

Volume = (4*Radius of Constituent Particle/sqrt(3))^3
V_T = (4*R/sqrt(3))^3

What is Body Centered Unit Cell?

The body-centered cubic unit cell is the simplest repeating unit in a body-centered cubic structure. Once again, there are eight identical particles on the eight corners of the unit cell. However, this time there is a ninth identical particle in the center of the body of the unit cell.

How to Calculate Volume of Body Centered Unit Cell?

Volume of Body Centered Unit Cell calculator uses Volume = (4*Radius of Constituent Particle/sqrt(3))^3 to calculate the Volume, The Volume of Body Centered Unit Cell formula is defined as cube of the edge length of the body centered unit cell. Volume is denoted by V_T symbol.

How to calculate Volume of Body Centered Unit Cell using this online calculator? To use this online calculator for Volume of Body Centered Unit Cell, enter Radius of Constituent Particle (R) and hit the calculate button. Here is how the Volume of Body Centered Unit Cell calculation can be explained with given input values -> 2.7E-24 = (4*6E-09/sqrt(3))^3.

FAQ

What is Volume of Body Centered Unit Cell?

The Volume of Body Centered Unit Cell formula is defined as cube of the edge length of the body centered unit cell and is represented as V_T = (4*R/sqrt(3))^3 or Volume = (4*Radius of Constituent Particle/sqrt(3))^3. The Radius of Constituent Particle is the radius of the atom present in the unit cell.

How to calculate Volume of Body Centered Unit Cell?

The Volume of Body Centered Unit Cell formula is defined as cube of the edge length of the body centered unit cell is calculated using Volume = (4*Radius of Constituent Particle/sqrt(3))^3. To calculate Volume of Body Centered Unit Cell, you need Radius of Constituent Particle (R). With our tool, you need to enter the respective value for Radius of Constituent Particle 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 Volume?

In this formula, Volume uses Radius of Constituent Particle. We can use 10 other way(s) to calculate the same, which is/are as follows -

Volume = Edge Length^3
Volume = (2*Radius of Constituent Particle)^3
Volume = (2*sqrt(2)*Radius of Constituent Particle)^3
Volume = (Lattice Constant a^3)
Volume = (Lattice Constant a^2)*Lattice Constant c
Volume = (Lattice Constant a^2)*Lattice Constant c*0.866
Volume = Lattice Constant a*Lattice Constant b*Lattice Constant c
Volume = (Lattice Constant a^3)*sqrt(1-(3*(cos(Lattice parameter alpha)^2))+(2*(cos(Lattice parameter alpha)^3)))
Volume = Lattice Constant a*Lattice Constant b*Lattice Constant c*sin(Lattice Parameter Beta)
Volume = (Lattice Constant a*Lattice Constant b*Lattice Constant c)*sqrt(1-(cos(Lattice parameter alpha)^2)-(cos(Lattice Parameter Beta)^2)-(cos(Lattice Parameter gamma)^2)+(2*cos(Lattice parameter alpha)*cos(Lattice Parameter Beta)*cos(Lattice Parameter gamma)))

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