Volume of cubic cell Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volume = (Lattice Constant a^3)
VT = (alattice^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.
Lattice Constant a - (Measured in Meter) - The Lattice Constant a refers to the physical dimension of unit cells in a crystal lattice along x-axis.
STEP 1: Convert Input(s) to Base Unit
Lattice Constant a: 14 Angstrom --> 1.4E-09 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
VT = (alattice^3) --> (1.4E-09^3)
Evaluating ... ...
VT = 2.744E-27
STEP 3: Convert Result to Output's Unit
2.744E-27 Cubic Meter --> No Conversion Required
FINAL ANSWER
2.744E-27 2.7E-27 Cubic Meter <-- Volume
(Calculation completed in 00.004 seconds)

Credits

Created by Prerana Bakli
University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
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Verified by Prashant Singh
K J Somaiya College of science (K J Somaiya), Mumbai
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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 cubic cell Formula

Volume = (Lattice Constant a^3)
VT = (alattice^3)

What are Bravais Lattices?

Bravais Lattice refers to the 14 different 3-dimensional configurations into which atoms can be arranged in crystals. The smallest group of symmetrically aligned atoms which can be repeated in an array to make up the entire crystal is called a unit cell. There are several ways to describe a lattice. The most fundamental description is known as the Bravais lattice. In words, a Bravais lattice is an array of discrete points with an arrangement and orientation that look exactly the same from any of the discrete points, that is the lattice points are indistinguishable from one another. Out of 14 types of Bravais lattices some 7 types of Bravais lattices in three-dimensional space are listed in this subsection. Note that the letters a, b, and c have been used to denote the dimensions of the unit cells whereas the letters 𝛂, 𝞫, and 𝝲 denote the corresponding angles in the unit cells.

How to Calculate Volume of cubic cell?

Volume of cubic cell calculator uses Volume = (Lattice Constant a^3) to calculate the Volume, The Volume of cubic cell formula is defined as the space occupied by a cubic crystal lattice and is equal to the cell-edge length (a) cubed. Volume is denoted by VT symbol.

How to calculate Volume of cubic cell using this online calculator? To use this online calculator for Volume of cubic cell, enter Lattice Constant a (alattice) and hit the calculate button. Here is how the Volume of cubic cell calculation can be explained with given input values -> 2.7E-27 = (1.4E-09^3).

FAQ

What is Volume of cubic cell?
The Volume of cubic cell formula is defined as the space occupied by a cubic crystal lattice and is equal to the cell-edge length (a) cubed and is represented as VT = (alattice^3) or Volume = (Lattice Constant a^3). The Lattice Constant a refers to the physical dimension of unit cells in a crystal lattice along x-axis.
How to calculate Volume of cubic cell?
The Volume of cubic cell formula is defined as the space occupied by a cubic crystal lattice and is equal to the cell-edge length (a) cubed is calculated using Volume = (Lattice Constant a^3). To calculate Volume of cubic cell, you need Lattice Constant a (alattice). With our tool, you need to enter the respective value for Lattice Constant a 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 Lattice Constant a. 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 = (4*Radius of Constituent Particle/sqrt(3))^3
  • Volume = (2*sqrt(2)*Radius of Constituent Particle)^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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