Volume of Body Centered Unit Cell Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volume = (4*Radius of Constituent Particle/sqrt(3))^3
VT = (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
VT = (4*R/sqrt(3))^3 --> (4*6E-09/sqrt(3))^3
Evaluating ... ...
VT = 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 00.020 seconds)

Credits

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Created by Pragati Jaju
College Of Engineering (COEP), Pune
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Verified by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
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Volume of Different Cubic Cell Calculators

Volume of Body Centered Unit Cell
​ LaTeX ​ Go Volume = (4*Radius of Constituent Particle/sqrt(3))^3
Volume of face Centered Unit Cell
​ LaTeX ​ Go Volume = (2*sqrt(2)*Radius of Constituent Particle)^3
Volume of Simple Cubic Unit Cell
​ LaTeX ​ Go Volume = (2*Radius of Constituent Particle)^3
Volume of Unit cell
​ LaTeX ​ Go Volume = Edge Length^3

Volume of Body Centered Unit Cell Formula

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