## Linear Density for BCC 111 Direction Solution

STEP 0: Pre-Calculation Summary
Formula Used
Linear Density = 1/(2*Radius of Constituent Particle)
L.D = 1/(2*R)
This formula uses 2 Variables
Variables Used
Linear Density - The Linear Density is the measure of a quantity of any characteristic value per unit of length.
Radius of Constituent Particle - (Measured in Meter) - The Radius of Constituent Particle is the radius of the atom present in the unit cell.
STEP 1: Convert Input(s) to Base Unit
Radius of Constituent Particle: 60 Angstrom --> 6E-09 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
L.D = 1/(2*R) --> 1/(2*6E-09)
Evaluating ... ...
L.D = 83333333.3333333
STEP 3: Convert Result to Output's Unit
83333333.3333333 --> No Conversion Required
83333333.3333333 <-- Linear Density
(Calculation completed in 00.000 seconds)
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## Credits

Created by Pragati Jaju
College Of Engineering (COEP), Pune
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## < 13 Density of different Cubic Cell Calculators

Density of Unit Cell
Density = Number of Atoms*Mass of Atom/((Edge Length^3)*[Avaga-no])
Linear Density for BCC 101 direction
Linear Density = sqrt(3)/(4*Radius of Constituent Particle*sqrt(2))
Density of BCC lattice
Density = 2*Mass of Atom/(Volume of Unit Cell*[Avaga-no])
Density of FCC Lattice
Density = 4*Mass of Atom/(Volume of Unit Cell*[Avaga-no])
Linear Density
Linear Density = Number of Atoms Centered on Direction Vector/Length of Direction Vector
Density of Simple Cubic Unit Cell
Density = Mass of Atom/(Volume of Unit Cell*[Avaga-no])
Planar Density
Planar Density = Number of Atoms Centered on Plane/Area of Plane
Planar Density for FCC 110 plane
Planar Density = 0.177/(Radius of Constituent Particle^2)
Planar Density for BCC 100 Plane
Planar Density = 0.19/(Radius of Constituent Particle^2)
Planar Density for FCC 100 Plane
Planar Density = 0.25/(Radius of Constituent Particle^2)
Planar Density for FCC 111 plane
Planar Density = 0.29/(Radius of Constituent Particle^2)
Linear Density for BCC 111 Direction
Linear Density = 1/(2*Radius of Constituent Particle)
Linear Density for BCC 110 direction
Linear Density = 0.306/Radius of Constituent Particle

## Linear Density for BCC 111 Direction Formula

Linear Density = 1/(2*Radius of Constituent Particle)
L.D = 1/(2*R)

## What is linear Density?

Linear density (LD ) is defined as the number of atoms per unit length whose centers lie on the direction vector for a specific crystallographic direction; that is,
𝐿𝐷 =number of atoms centered on direction vector/length of direction vector>
The units of linear density are reciprocal length (e.g., nm^−1,m^−1).

## How to Calculate Linear Density for BCC 111 Direction?

Linear Density for BCC 111 Direction calculator uses Linear Density = 1/(2*Radius of Constituent Particle) to calculate the Linear Density, The Linear Density for BCC 111 direction formula is defined as the number of atoms per unit length of the direction vector. Linear Density is denoted by L.D symbol.

How to calculate Linear Density for BCC 111 Direction using this online calculator? To use this online calculator for Linear Density for BCC 111 Direction, enter Radius of Constituent Particle (R) and hit the calculate button. Here is how the Linear Density for BCC 111 Direction calculation can be explained with given input values -> 0.833333 = 1/(2*0.6).

### FAQ

What is Linear Density for BCC 111 Direction?
The Linear Density for BCC 111 direction formula is defined as the number of atoms per unit length of the direction vector and is represented as L.D = 1/(2*R) or Linear Density = 1/(2*Radius of Constituent Particle). The Radius of Constituent Particle is the radius of the atom present in the unit cell.
How to calculate Linear Density for BCC 111 Direction?
The Linear Density for BCC 111 direction formula is defined as the number of atoms per unit length of the direction vector is calculated using Linear Density = 1/(2*Radius of Constituent Particle). To calculate Linear Density for BCC 111 Direction, you need Radius of Constituent Particle (R). With our tool, you need to enter the respective value for Radius of Constituent Particle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Linear Density?
In this formula, Linear Density uses Radius of Constituent Particle. We can use 3 other way(s) to calculate the same, which is/are as follows -
• Linear Density = Number of Atoms Centered on Direction Vector/Length of Direction Vector
• Linear Density = sqrt(3)/(4*Radius of Constituent Particle*sqrt(2))
• Linear Density = 0.306/Radius of Constituent Particle
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