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Linear Density for BCC 101 direction Formula

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GoLinear Density for BCC 111 Direction Formula

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The Linear Density is the measure of a quantity of any characteristic value per unit of length. Check FAQs

L.D = \frac{\sqrt{3}}{4 \cdot R \cdot \sqrt{2}}

L.D - Linear Density?R - Radius of Constituent Particle?

Linear Density for BCC 101 direction Example

With values

With units

Only example

Here is how the Linear Density for BCC 101 direction equation looks like with Values.

Here is how the Linear Density for BCC 101 direction equation looks like with Units.

Here is how the Linear Density for BCC 101 direction equation looks like.

5.1E+7 = \frac{\sqrt{3}}{4 \cdot 60 \cdot \sqrt{2}}

5.1E+7 = \frac{\sqrt{3}}{4 \cdot 60A \cdot \sqrt{2}}

5.1E+7 = \frac{\sqrt{3}}{4 \cdot 60 \cdot \sqrt{2}}

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Density of different Cubic Cell » fx Linear Density for BCC 101 direction

Linear Density for BCC 101 direction Solution

Follow our step by step solution on how to calculate Linear Density for BCC 101 direction?

FIRST Step Consider the formula

L.D = \frac{\sqrt{3}}{4 \cdot R \cdot \sqrt{2}}

Next Step Substitute values of Variables

∴

L.D = \frac{\sqrt{3}}{4 \cdot 60A \cdot \sqrt{2}}

Next Step Convert Units

∴

L.D = \frac{\sqrt{3}}{4 \cdot 6E-9m \cdot \sqrt{2}}

Next Step Prepare to Evaluate

∴

L.D = \frac{\sqrt{3}}{4 \cdot 6E-9 \cdot \sqrt{2}}

Next Step Evaluate

∴

L.D = 51031036.3079829

LAST Step Rounding Answer

∴

L.D = 5.1E+7

Linear Density for BCC 101 direction Formula Elements

Variables

Functions

Linear Density

The Linear Density is the measure of a quantity of any characteristic value per unit of length.

Symbol: L.D

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Linear Density

Radius of Constituent Particle

The Radius of Constituent Particle is the radius of the atom present in the unit cell.

Symbol: R

Measurement: LengthUnit: A

Note: Value can be positive or negative.

Formulas to find Radius of Constituent Particle

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.

Syntax: sqrt(Number)

Other Formulas to find Linear Density

Go Linear Density

L.D = \frac{n}{L}

Go Linear Density for BCC 111 Direction

L.D = \frac{1}{2 \cdot R}

Go Linear Density for BCC 110 direction

L.D = \frac{0.306}{R}

Other formulas in Density of different Cubic Cell category

Go Density of Unit Cell

ρ = z \cdot \frac{M}{(a^{3}) \cdot [Avaga-no]}

Go Planar Density for BCC 100 Plane

P.D = \frac{0.19}{R^{2}}

Go Planar Density for FCC 100 Plane

P.D = \frac{0.25}{R^{2}}

Go Planar Density for FCC 111 plane

P.D = \frac{0.29}{R^{2}}

How to Evaluate Linear Density for BCC 101 direction?

Linear Density for BCC 101 direction evaluator uses Linear Density = sqrt(3)/(4*Radius of Constituent Particle*sqrt(2)) to evaluate the Linear Density, The Linear Density for BCC 101 direction formula is defined as the number of atoms lying on the direction vector per unit length of the direction vector. Linear Density is denoted by L.D symbol.

How to evaluate Linear Density for BCC 101 direction using this online evaluator? To use this online evaluator for Linear Density for BCC 101 direction, enter Radius of Constituent Particle (R) and hit the calculate button.

FAQs on Linear Density for BCC 101 direction

What is the formula to find Linear Density for BCC 101 direction?

The formula of Linear Density for BCC 101 direction is expressed as Linear Density = sqrt(3)/(4*Radius of Constituent Particle*sqrt(2)). Here is an example- 5.1E+7 = sqrt(3)/(4*6E-09*sqrt(2)).

How to calculate Linear Density for BCC 101 direction?

With Radius of Constituent Particle (R) we can find Linear Density for BCC 101 direction using the formula - Linear Density = sqrt(3)/(4*Radius of Constituent Particle*sqrt(2)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Linear Density?

Here are the different ways to Calculate Linear Density-

Linear Density=Number of Atoms Centered on Direction Vector/Length of Direction Vector
Linear Density=1/(2*Radius of Constituent Particle)
Linear Density=0.306/Radius of Constituent Particle

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