Volume of Unit cell Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volume = Edge Length^3
VT = a^3
This formula uses 2 Variables
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.
Edge Length - (Measured in Meter) - The Edge length is the length of the edge of the unit cell.
STEP 1: Convert Input(s) to Base Unit
Edge Length: 100 Angstrom --> 1E-08 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
VT = a^3 --> 1E-08^3
Evaluating ... ...
VT = 1E-24
STEP 3: Convert Result to Output's Unit
1E-24 Cubic Meter --> No Conversion Required
FINAL ANSWER
1E-24 Cubic Meter <-- Volume
(Calculation completed in 00.019 seconds)

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!

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 Unit cell Formula

Volume = Edge Length^3
VT = a^3

What is Unit Cell?

The smallest repeating unit of the crystal lattice is the unit cell, the building block of a crystal.

The unit cells which are all identical are defined in such a way that they fill space without overlapping. The 3D arrangement of atoms, molecules or ions inside a crystal is called a crystal lattice. It is made up of numerous unit cells. One of the three constituent particles takes up every lattice point.

How to Calculate Volume of Unit cell?

Volume of Unit cell calculator uses Volume = Edge Length^3 to calculate the Volume, The Volume of Unit cell formula is defined as the cube of the edge length of the unit cell i.e. the geometrical volume of the unit cell. Volume is denoted by VT symbol.

How to calculate Volume of Unit cell using this online calculator? To use this online calculator for Volume of Unit cell, enter Edge Length (a) and hit the calculate button. Here is how the Volume of Unit cell calculation can be explained with given input values -> 1E-24 = 1E-08^3.

FAQ

What is Volume of Unit cell?
The Volume of Unit cell formula is defined as the cube of the edge length of the unit cell i.e. the geometrical volume of the unit cell and is represented as VT = a^3 or Volume = Edge Length^3. The Edge length is the length of the edge of the unit cell.
How to calculate Volume of Unit cell?
The Volume of Unit cell formula is defined as the cube of the edge length of the unit cell i.e. the geometrical volume of the unit cell is calculated using Volume = Edge Length^3. To calculate Volume of Unit cell, you need Edge Length (a). With our tool, you need to enter the respective value for Edge Length 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 Edge Length. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • Volume = (2*Radius of Constituent Particle)^3
  • Volume = (4*Radius of Constituent Particle/sqrt(3))^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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