Lattice Parameter of BCC Calculator

✖Atomic Radius is the radius of the atom which forms the metallic crystal.ⓘ Atomic Radius [r]

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✖Lattice Parameter of BCC (Body Centered Cubic) is defined as the length between two points on the corners of a BCC unit cell.ⓘ Lattice Parameter of BCC [a_BCC]

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Formula

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Lattice Parameter of BCC

Formula

`"a"_{"BCC"} = 4*"r"/sqrt(3)`

Example

`"2.863657A"=4*"1.24A"/sqrt(3)`

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Lattice Parameter of BCC Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

a_BCC = 4*r/sqrt(3) --> 4*1.24E-10/sqrt(3)

Evaluating ... ...

a_BCC = 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 00.006 seconds)

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Created by Hariharan V S

Indian Institute of Technology (IIT), Chennai

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< 6 Crystal Lattice Calculators

Interplanar Spacing of Crystal given Lattice Parameter

Go Interplanar Spacing = Lattice Parameter/sqrt(Miller Index h^2+Miller Index k^2+Miller Index l^2)

Density of cubic crystals

Go Density = Effective Number of Atoms in Unit Cell*Atomic Mass/([Avaga-no]*(Lattice Parameter)^3)

Interplanar Spacing of Crystal

Go Interplanar Spacing = Order of reflection*Wavelength of X-ray/(2*sin(Angle of Incidence))

Lattice Parameter of FCC

Go Lattice Parameter of FCC = 2*Atomic Radius*sqrt(2)

Lattice Parameter of BCC

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

Number of atomic sites

Go Number of atomic sites = Density/Atomic Mass

Lattice Parameter of BCC Formula

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