Lattice Parameter of BCC Solution

STEP 0: Pre-Calculation Summary
Formula Used
Lattice Parameter of BCC = 4*Atomic Radius/sqrt(3)
aBCC = 4*r/sqrt(3)
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
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.
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: 1.24 Angstrom --> 1.24E-10 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
aBCC = 4*r/sqrt(3) --> 4*1.24E-10/sqrt(3)
Evaluating ... ...
aBCC = 2.86365733518054E-10
STEP 3: Convert Result to Output's Unit
2.86365733518054E-10 Meter -->2.86365733518054 Angstrom (Check conversion ​here)
FINAL ANSWER
2.86365733518054 2.863657 Angstrom <-- Lattice Parameter of BCC
(Calculation completed in 00.004 seconds)

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Indian Institute of Technology (IIT), Chennai
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Lattice Parameter of BCC Formula

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

Lattice parameter of BCC crystal

Body centered cubic (BCC) crystal has one atom in each corner of a cube and one atom at the center of the unit cell. The lattice parameter is calculated by correlating atomic radius and diagonal length of a face of the unit cell (cube).

Unit cell

The atomic order in crystalline solids indicates that small groups of atoms form a repetitive pattern.Thus, in order to describe crystal structures, it is convenient to divide the structure into small repeating entities called unit cells. In simple terms, unit cell is the smallest repeating entity that can represent the crystal structure.

How to Calculate Lattice Parameter of BCC?

Lattice Parameter of BCC calculator uses Lattice Parameter of BCC = 4*Atomic Radius/sqrt(3) to calculate the Lattice Parameter of BCC, Lattice parameter of BCC is the edge length of BCC unit cell. Lattice Parameter of BCC is denoted by aBCC symbol.

How to calculate Lattice Parameter of BCC using this online calculator? To use this online calculator for Lattice Parameter of BCC, enter Atomic Radius (r) and hit the calculate button. Here is how the Lattice Parameter of BCC calculation can be explained with given input values -> 2.9E+10 = 4*1.24E-10/sqrt(3).

FAQ

What is Lattice Parameter of BCC?
Lattice parameter of BCC is the edge length of BCC unit cell and is represented as aBCC = 4*r/sqrt(3) or Lattice Parameter of BCC = 4*Atomic Radius/sqrt(3). Atomic Radius is the radius of the atom which forms the metallic crystal.
How to calculate Lattice Parameter of BCC?
Lattice parameter of BCC is the edge length of BCC unit cell is calculated using Lattice Parameter of BCC = 4*Atomic Radius/sqrt(3). To calculate Lattice Parameter of BCC, 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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