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Linear Density Formula

GoLinear Density for BCC 101 direction Formula

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{n}{L}

L.D - Linear Density?n - Number of Atoms Centered on Direction Vector?L - Length of Direction Vector?

Linear Density Example

With values

With units

Only example

Here is how the Linear Density equation looks like with Values.

Here is how the Linear Density equation looks like with Units.

Here is how the Linear Density equation looks like.

118.1818 = \frac{65}{55}

118.1818 = \frac{65}{55cm}

118.1818 = \frac{65}{55}

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Linear Density Solution

Follow our step by step solution on how to calculate Linear Density?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L.D = \frac{65}{55cm}

Next Step Convert Units

∴

L.D = \frac{65}{0.55m}

Next Step Prepare to Evaluate

∴

L.D = \frac{65}{0.55}

Next Step Evaluate

∴

L.D = 118.181818181818

LAST Step Rounding Answer

∴

L.D = 118.1818

Linear Density Formula Elements

Variables

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

Number of Atoms Centered on Direction Vector

The Number of Atoms Centered on Direction Vector is the total number of atoms lying on direction vector.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Number of Atoms Centered on Direction Vector

Length of Direction Vector

The Length of Direction Vector is the length of the vector in a particular direction inside a crystal structure.

Symbol: L

Measurement: LengthUnit: cm

Note: Value can be positive or negative.

Formulas to find Length of Direction Vector

Other Formulas to find Linear Density

Go Linear Density for BCC 101 direction

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

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?

Linear Density evaluator uses Linear Density = Number of Atoms Centered on Direction Vector/Length of Direction Vector to evaluate the Linear Density, The Linear Density formula is defined as number of atoms centered on direction vector per unit length of direction vector. Linear Density is denoted by L.D symbol.

How to evaluate Linear Density using this online evaluator? To use this online evaluator for Linear Density, enter Number of Atoms Centered on Direction Vector (n) & Length of Direction Vector (L) and hit the calculate button.

FAQs on Linear Density

What is the formula to find Linear Density?

The formula of Linear Density is expressed as Linear Density = Number of Atoms Centered on Direction Vector/Length of Direction Vector. Here is an example- 118.1818 = 65/0.55.

How to calculate Linear Density?

With Number of Atoms Centered on Direction Vector (n) & Length of Direction Vector (L) we can find Linear Density using the formula - Linear Density = Number of Atoms Centered on Direction Vector/Length of Direction Vector.

What are the other ways to Calculate Linear Density?

Here are the different ways to Calculate Linear Density-

Linear Density=sqrt(3)/(4*Radius of Constituent Particle*sqrt(2))
Linear Density=1/(2*Radius of Constituent Particle)
Linear Density=0.306/Radius of Constituent Particle

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Linear Density Formula

​GoLinear Density for BCC 101 direction Formula

​GoLinear Density for BCC 111 Direction Formula

Linear Density Example

Linear Density Solution

Linear Density Formula Elements

Other Formulas to find Linear Density

Other formulas in Density of different Cubic Cell category

How to Evaluate Linear Density?

FAQs on Linear Density

Variable Name

GoLinear Density for BCC 101 direction Formula

GoLinear Density for BCC 111 Direction Formula