Volume of Atoms in FCC Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volume of Atoms in Unit Cell = 16/3*pi*Atomic Radius^3
Vatoms = 16/3*pi*r^3
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Volume of Atoms in Unit Cell - (Measured in Cubic Meter) - Volume of Atoms in Unit Cell is the total volume of atoms present in the unit cell.
Atomic Radius - (Measured in Meter) - Atomic Radius is the radius of the atom which forms the metallic crystal.
STEP 1: Convert Input(s) to Base Unit
Atomic Radius: 1.35 Angstrom --> 1.35E-10 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vatoms = 16/3*pi*r^3 --> 16/3*pi*1.35E-10^3
Evaluating ... ...
Vatoms = 4.12239788004053E-29
STEP 3: Convert Result to Output's Unit
4.12239788004053E-29 Cubic Meter -->41.2239788004053 Cubic Angstrom (Check conversion here)
FINAL ANSWER
41.2239788004053 41.22398 Cubic Angstrom <-- Volume of Atoms in Unit Cell
(Calculation completed in 00.004 seconds)

Credits

Created by Sanjay Krishna
Amrita School of Engineering (ASE), Vallikavu
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Verified by Rushi Shah
K J Somaiya College of Engineering (K J Somaiya), Mumbai
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3 Face Centered Crystal Calculators

Volume of Atoms in FCC
Go Volume of Atoms in Unit Cell = 16/3*pi*Atomic Radius^3
Atomic Radius in FCC
Go Atomic Radius = Lattice Parameter of FCC/(2*sqrt(2))
Lattice Constant of FCC
Go Lattice Parameter of FCC = 2*sqrt(2)*Atomic Radius

Volume of Atoms in FCC Formula

Volume of Atoms in Unit Cell = 16/3*pi*Atomic Radius^3
Vatoms = 16/3*pi*r^3

Calculator for finding the volume of atoms in unit cell of FCC.

This volume can be calculated using the formula of volume of a sphere that is: (4/3)*pi*r^3 and 4 atoms are multiplied to it , where r is the radius of one atom. The volume is mainly used for studying the atomic packing factor of the FCC structure and the atomic radius is varied for different structures

How to Calculate Volume of Atoms in FCC?

Volume of Atoms in FCC calculator uses Volume of Atoms in Unit Cell = 16/3*pi*Atomic Radius^3 to calculate the Volume of Atoms in Unit Cell, The Volume of atoms in FCC formula is defined as similar to the volume of the sphere but the equation is multiplied by 4 atoms and radius value changes since the atomic radius r =(sqrt(3)/4)*a where a is the lattice constant. Volume of Atoms in Unit Cell is denoted by Vatoms symbol.

How to calculate Volume of Atoms in FCC using this online calculator? To use this online calculator for Volume of Atoms in FCC, enter Atomic Radius (r) and hit the calculate button. Here is how the Volume of Atoms in FCC calculation can be explained with given input values -> 4.1E+31 = 16/3*pi*1.35E-10^3.

FAQ

What is Volume of Atoms in FCC?
The Volume of atoms in FCC formula is defined as similar to the volume of the sphere but the equation is multiplied by 4 atoms and radius value changes since the atomic radius r =(sqrt(3)/4)*a where a is the lattice constant and is represented as Vatoms = 16/3*pi*r^3 or Volume of Atoms in Unit Cell = 16/3*pi*Atomic Radius^3. Atomic Radius is the radius of the atom which forms the metallic crystal.
How to calculate Volume of Atoms in FCC?
The Volume of atoms in FCC formula is defined as similar to the volume of the sphere but the equation is multiplied by 4 atoms and radius value changes since the atomic radius r =(sqrt(3)/4)*a where a is the lattice constant is calculated using Volume of Atoms in Unit Cell = 16/3*pi*Atomic Radius^3. To calculate Volume of Atoms in FCC, you need Atomic Radius (r). With our tool, you need to enter the respective value for Atomic Radius 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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