# How to Calculate and Solve for Linear Density | Crystal Structures

The image above represents linear density. To calculate linear density, two essential parameters are needed, and these parameters are Number of Atoms Centered on Direction Vector (N)Â andÂ Length of Direction Vector (L).

### The formula for calculating linear density:

LD =Â N/L

Where:

LD = Linear Density
N = Number of Atoms Centered on Direction Vector
L = Length of Direction Vector

Given an example;
Find the linear density when the number of atoms centered on direction vector is 10 and the length of direction vector is 2.

This implies that;

N = Number of Atoms Centered on Direction Vector = 10
L = Length of Direction Vector = 2

LD =Â N/L
That is, LD = 10/2
LD = 5

Therefore, theÂ linear densityÂ isÂ 5 atoms/m.

### Calculating the Number of Atoms Centered on Direction Vector when the Linear Density and the Length of Direction Vector are Given

N = LD x L

Where:

N = Number of Atoms Centered on Direction Vector
LD = Linear Density
L = Length of Direction Vector

Let’s solve an example;
Find the number of atoms centered on direction vector when the linear density is 6 and the length of direction vector is 5.

This implies that;

### Master Every Calculation Instantly

Unlock solutions for every math, physics, engineering, and chemistry problem with step-by-step clarity. No internet required. Just knowledge at your fingertips, anytime, anywhere.

LD = Linear Density = 6
L = Length of Direction Vector = 5

N = LD x L
So, N = 6 x 5
N = 30

Therefore, theÂ number of atoms centered on direction vector isÂ 30 atoms.

### Calculating the Length of Direction Vector when the Linear Density and the Number of Atoms Centered on Direction Vector are Given

L = N / LD

Where:

L = Length of Direction Vector
LD = Linear Density
N = Number of Atoms Centered on Direction Vector

Let’s solve an example;
Find the length of direction vector when the linear density is 12 and the number of atoms centered on direction vector is 72.

This implies that;

LD = Linear Density = 12
N = Number of Atoms Centered on Direction Vector = 72

L = N / LD
So, L = 72 / 12
L = 6

Therefore, theÂ length of direction vectorÂ isÂ 6 m.

### How to Calculate Linear Density With Nickzom Calculator

Nickzom Calculator â€“ The Calculator Encyclopedia is capable of calculating the linear density.

To get the answer and workings of the linear density using the Nickzom Calculator â€“ The Calculator Encyclopedia. First, you need to obtain the app.

You can get this app via any of these means:

You can also try theÂ demoÂ version viaÂ https://www.nickzom.org/calculator

Apple (Paid)Â â€“Â https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
Once, you have obtained the calculator encyclopedia app, proceed to theÂ Calculator Map,Â then click onÂ Materials and MetallurgicalÂ underÂ Engineering.

Now, Click onÂ Crystal StructuresÂ underÂ Materials and Metallurgical

Now, Click onÂ Linear Density underÂ Crystal Structures

The screenshot below displays the page or activity to enter your value, to get the answer for the linear density according to the respective parameter which is the Number of Atoms Centered on Direction Vector (N)Â andÂ Length of Direction Vector (L).

Now, enter the values appropriately and accordingly for the parameter as required by the Number of Atoms Centered on Direction Vector (N) is 10 and Length of Direction Vector (L) is 2.

Finally, Click on Calculate

As you can see from the screenshot above, Nickzom Calculatorâ€“ The Calculator Encyclopedia solves for the linear density and presents the formula, workings and steps too.