Linear Density Calculator

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Inter-planar distance and inter-planar angle

✖The Number of Atoms Centered on Direction Vector is the total number of atoms lying on direction vector.ⓘ Number of Atoms Centered on Direction Vector [n]			+10% -10%
✖The Length of Direction Vector is the length of the vector in a particular direction inside a crystal structure.ⓘ Length of Direction Vector [L]			+10% -10%

✖The Linear Density is the measure of a quantity of any characteristic value per unit of length.ⓘ Linear Density [L.D]

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Formula

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Linear Density

Formula

`"L.D" = "n"/"L"`

Example

`"118.1818"="65"/"55cm"`

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Linear Density Solution

STEP 0: Pre-Calculation Summary

Formula Used

Linear Density = Number of Atoms Centered on Direction Vector/Length of Direction Vector
L.D = n/L
This formula uses 3 Variables

Variables Used

Linear Density - The Linear Density is the measure of a quantity of any characteristic value per unit of length.
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.
Length of Direction Vector - (Measured in Meter) - The Length of Direction Vector is the length of the vector in a particular direction inside a crystal structure.

STEP 1: Convert Input(s) to Base Unit

Number of Atoms Centered on Direction Vector: 65 --> No Conversion Required
Length of Direction Vector: 55 Centimeter --> 0.55 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L.D = n/L --> 65/0.55

Evaluating ... ...

L.D = 118.181818181818

STEP 3: Convert Result to Output's Unit

118.181818181818 --> No Conversion Required

FINAL ANSWER

118.181818181818 ≈ 118.1818 <-- Linear Density

(Calculation completed in 00.004 seconds)

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Created by Pragati Jaju

College Of Engineering (COEP), Pune

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Verified by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

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< 13 Density of different Cubic Cell Calculators

Density of Unit Cell

Go Density = Number of Atoms*Mass of Atom/((Edge Length^3)*[Avaga-no])

Linear Density for BCC 101 direction

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

Density of BCC lattice

Go Density = 2*Mass of Atom/(Volume of Unit Cell*[Avaga-no])

Density of FCC Lattice

Go Density = 4*Mass of Atom/(Volume of Unit Cell*[Avaga-no])

Linear Density

Go Linear Density = Number of Atoms Centered on Direction Vector/Length of Direction Vector

Density of Simple Cubic Unit Cell

Go Density = Mass of Atom/(Volume of Unit Cell*[Avaga-no])

Planar Density

Go Planar Density = Number of Atoms Centered on Plane/Area of Plane

Planar Density for FCC 110 plane

Go Planar Density = 0.177/(Radius of Constituent Particle^2)

Planar Density for BCC 100 Plane

Go Planar Density = 0.19/(Radius of Constituent Particle^2)

Planar Density for FCC 100 Plane

Go Planar Density = 0.25/(Radius of Constituent Particle^2)

Planar Density for FCC 111 plane

Go Planar Density = 0.29/(Radius of Constituent Particle^2)

Linear Density for BCC 111 Direction

Go Linear Density = 1/(2*Radius of Constituent Particle)

Linear Density for BCC 110 direction

Go Linear Density = 0.306/Radius of Constituent Particle

Linear Density Formula

Linear Density = Number of Atoms Centered on Direction Vector/Length of Direction Vector
L.D = n/L

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?

Linear Density calculator uses Linear Density = Number of Atoms Centered on Direction Vector/Length of Direction Vector to calculate 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 calculate Linear Density using this online calculator? To use this online calculator for Linear Density, enter Number of Atoms Centered on Direction Vector (n) & Length of Direction Vector (L) and hit the calculate button. Here is how the Linear Density calculation can be explained with given input values -> 118.1818 = 65/0.55.

FAQ

What is Linear Density?

The Linear Density formula is defined as number of atoms centered on direction vector per unit length of direction vector and is represented as L.D = n/L or Linear Density = Number of Atoms Centered on Direction Vector/Length of Direction Vector. The Number of Atoms Centered on Direction Vector is the total number of atoms lying on direction vector & The Length of Direction Vector is the length of the vector in a particular direction inside a crystal structure.

How to calculate Linear Density?

The Linear Density formula is defined as number of atoms centered on direction vector per unit length of direction vector is calculated using Linear Density = Number of Atoms Centered on Direction Vector/Length of Direction Vector. To calculate Linear Density, you need Number of Atoms Centered on Direction Vector (n) & Length of Direction Vector (L). With our tool, you need to enter the respective value for Number of Atoms Centered on Direction Vector & Length of Direction Vector 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 Number of Atoms Centered on Direction Vector & Length of Direction Vector. We can use 3 other way(s) to calculate the same, which is/are as follows -

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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