Atomic Radius in FCC Solution

STEP 0: Pre-Calculation Summary
Formula Used
Atomic Radius = Lattice Parameter of FCC/(2*sqrt(2))
r = aFCC/(2*sqrt(2))
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
Atomic Radius - (Measured in Meter) - Atomic Radius is the radius of the atom which forms the metallic crystal.
Lattice Parameter of FCC - (Measured in Meter) - Lattice Parameter of FCC (Face Centered Cubic) is defined as the length between two points on the corners of an FCC unit cell.
STEP 1: Convert Input(s) to Base Unit
Lattice Parameter of FCC: 3.818377 Angstrom --> 3.818377E-10 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
r = aFCC/(2*sqrt(2)) --> 3.818377E-10/(2*sqrt(2))
Evaluating ... ...
r = 1.35000013491337E-10
STEP 3: Convert Result to Output's Unit
1.35000013491337E-10 Meter -->1.35000013491337 Angstrom (Check conversion ​here)
FINAL ANSWER
1.35000013491337 1.35 Angstrom <-- Atomic Radius
(Calculation completed in 00.004 seconds)

Credits

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Created by Sanjay Krishna
Amrita School of Engineering (ASE), Vallikavu
Sanjay Krishna has created this Calculator and 300+ more calculators!
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Verified by Rushi Shah
K J Somaiya College of Engineering (K J Somaiya), Mumbai
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Face Centered Crystal Calculators

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

Atomic Radius in FCC Formula

​LaTeX ​Go
Atomic Radius = Lattice Parameter of FCC/(2*sqrt(2))
r = aFCC/(2*sqrt(2))

Calculator for finding the FCC atomic radius.

For a face-centered cubic unit cell, the number of atoms is four. A line can be drawn from the top corner of a cube diagonally to the bottom corner on the same side of the cube, which is equal to 4r. Using geometry, and the side length, r can be related to a as: a/(2*sqrt(2))

How to Calculate Atomic Radius in FCC?

Atomic Radius in FCC calculator uses Atomic Radius = Lattice Parameter of FCC/(2*sqrt(2)) to calculate the Atomic Radius, Atomic Radius in FCC (FCC) lattice is a measure of the size of an atom in the crystal structure. In an FCC lattice, atoms are arranged such that each atom is at the center of each face of the cube, and one atom is at each corner of the cube. Atomic Radius is denoted by r symbol.

How to calculate Atomic Radius in FCC using this online calculator? To use this online calculator for Atomic Radius in FCC, enter Lattice Parameter of FCC (aFCC) and hit the calculate button. Here is how the Atomic Radius in FCC calculation can be explained with given input values -> 1.2E+10 = 3.818377E-10/(2*sqrt(2)).

FAQ

What is Atomic Radius in FCC?
Atomic Radius in FCC (FCC) lattice is a measure of the size of an atom in the crystal structure. In an FCC lattice, atoms are arranged such that each atom is at the center of each face of the cube, and one atom is at each corner of the cube and is represented as r = aFCC/(2*sqrt(2)) or Atomic Radius = Lattice Parameter of FCC/(2*sqrt(2)). Lattice Parameter of FCC (Face Centered Cubic) is defined as the length between two points on the corners of an FCC unit cell.
How to calculate Atomic Radius in FCC?
Atomic Radius in FCC (FCC) lattice is a measure of the size of an atom in the crystal structure. In an FCC lattice, atoms are arranged such that each atom is at the center of each face of the cube, and one atom is at each corner of the cube is calculated using Atomic Radius = Lattice Parameter of FCC/(2*sqrt(2)). To calculate Atomic Radius in FCC, you need Lattice Parameter of FCC (aFCC). With our tool, you need to enter the respective value for Lattice Parameter of FCC 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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