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: 3.5 Angstrom --> 3.5E-10 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
r = aFCC/(2*sqrt(2)) --> 3.5E-10/(2*sqrt(2))
Evaluating ... ...
r = 1.23743686707646E-10
STEP 3: Convert Result to Output's Unit
1.23743686707646E-10 Meter -->1.23743686707646 Angstrom (Check conversion here)
FINAL ANSWER
1.23743686707646 1.237437 Angstrom <-- Atomic Radius
(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

Atomic Radius in FCC Formula

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, The Atomic Radius in FCC formula is defined as the ratio of the lattice constant of the FCC structure to twice the square root of two. 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 = 3.5E-10/(2*sqrt(2)).

FAQ

What is Atomic Radius in FCC?
The Atomic Radius in FCC formula is defined as the ratio of the lattice constant of the FCC structure to twice the square root of two 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?
The Atomic Radius in FCC formula is defined as the ratio of the lattice constant of the FCC structure to twice the square root of two 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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