Pragati Jaju
College Of Engineering (COEP), Pune
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Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
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3 Other formulas that calculate the same Output

Linear Density for BCC [101] direction
Linear Density=sqrt(3)/(4*Radius of Constituent Particle*sqrt(2)) GO
Linear Density for BCC [111] direction
Linear Density=1/(2*Radius of Constituent Particle) GO
Linear Density for BCC [110] direction
Linear Density=0.306/Radius of Constituent Particle GO

Linear Density Formula

Linear Density=Number of Atoms Centered on Direction Vector/Length of Direction Vector
L.D=n/L
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Linear Density for BCC [110] direction GO
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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 and 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) and Length of Direction Vector (L) and hit the calculate button. Here is how the Linear Density calculation can be explained with given input values -> 1.000E+10 = 50/5E-09.

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 and 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) and Length of Direction Vector (L). With our tool, you need to enter the respective value for Number of Atoms Centered on Direction Vector and 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 and 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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