Atomic Radius in BCC Solution

STEP 0: Pre-Calculation Summary
Formula Used
Atomic Radius = (sqrt(3))/4*Lattice Parameter of BCC
r = (sqrt(3))/4*aBCC
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 BCC - (Measured in Meter) - Lattice Parameter of BCC (Body Centered Cubic) is defined as the length between two points on the corners of a BCC unit cell.
STEP 1: Convert Input(s) to Base Unit
Lattice Parameter of BCC: 3.14 Angstrom --> 3.14E-10 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
r = (sqrt(3))/4*aBCC --> (sqrt(3))/4*3.14E-10
Evaluating ... ...
r = 1.35965988394157E-10
STEP 3: Convert Result to Output's Unit
1.35965988394157E-10 Meter -->1.35965988394157 Angstrom (Check conversion here)
FINAL ANSWER
1.35965988394157 1.35966 Angstrom <-- Atomic Radius
(Calculation completed in 00.004 seconds)

Credits

Created by Sanjay Krishna
Amrita School of Engineering (ASE), Vallikavu
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K J Somaiya College of Engineering (K J Somaiya), Mumbai
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3 Body Centered Cubic Calculators

Total Volume of Atoms in BCC
Go Volume of Atoms in Unit Cell = 8/3*pi*Atomic Radius^3
Atomic Radius in BCC
Go Atomic Radius = (sqrt(3))/4*Lattice Parameter of BCC
Lattice Constant of BCC
Go Lattice Parameter of BCC = 4/sqrt(3)*Atomic Radius

Atomic Radius in BCC Formula

Atomic Radius = (sqrt(3))/4*Lattice Parameter of BCC
r = (sqrt(3))/4*aBCC

Calculator for atomic radius of BCC.

When the lattice points are inflated gradually, at some point they start to touch each other along the diagonals of the cube. One can now interpret the atoms as close packed spheres with a radius defined geometrically by 4r=√3a.

How to Calculate Atomic Radius in BCC?

Atomic Radius in BCC calculator uses Atomic Radius = (sqrt(3))/4*Lattice Parameter of BCC to calculate the Atomic Radius, The Atomic Radius in BCC formula is defined as the product of constant(sqrt(3)/4) and lattice parameter of BCC structure. Atomic Radius is denoted by r symbol.

How to calculate Atomic Radius in BCC using this online calculator? To use this online calculator for Atomic Radius in BCC, enter Lattice Parameter of BCC (aBCC) and hit the calculate button. Here is how the Atomic Radius in BCC calculation can be explained with given input values -> 1.4E+10 = (sqrt(3))/4*3.14E-10.

FAQ

What is Atomic Radius in BCC?
The Atomic Radius in BCC formula is defined as the product of constant(sqrt(3)/4) and lattice parameter of BCC structure and is represented as r = (sqrt(3))/4*aBCC or Atomic Radius = (sqrt(3))/4*Lattice Parameter of BCC. Lattice Parameter of BCC (Body Centered Cubic) is defined as the length between two points on the corners of a BCC unit cell.
How to calculate Atomic Radius in BCC?
The Atomic Radius in BCC formula is defined as the product of constant(sqrt(3)/4) and lattice parameter of BCC structure is calculated using Atomic Radius = (sqrt(3))/4*Lattice Parameter of BCC. To calculate Atomic Radius in BCC, you need Lattice Parameter of BCC (aBCC). With our tool, you need to enter the respective value for Lattice Parameter of BCC 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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