Planar Density Solution

STEP 0: Pre-Calculation Summary
Formula Used
Planar Density = Number of Atoms Centered on Plane/Area of Plane
P.D = N/A
This formula uses 3 Variables
Variables Used
Planar Density - The Planar density is the ratio of number of atoms lying on the atomic plane per unit area of the atomic plane.
Number of Atoms Centered on Plane - The Number of Atoms Centered on Plane is the total number of atoms lying on the given plane.
Area of Plane - (Measured in Square Meter) - The Area of Plane is the geometrical area of plane in the given direction.
STEP 1: Convert Input(s) to Base Unit
Number of Atoms Centered on Plane: 34 --> No Conversion Required
Area of Plane: 56 Square Centimeter --> 0.0056 Square Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P.D = N/A --> 34/0.0056
Evaluating ... ...
P.D = 6071.42857142857
STEP 3: Convert Result to Output's Unit
6071.42857142857 --> No Conversion Required
FINAL ANSWER
6071.42857142857 6071.429 <-- Planar Density
(Calculation completed in 00.004 seconds)

Credits

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

Planar Density Formula

Planar Density = Number of Atoms Centered on Plane/Area of Plane
P.D = N/A

What is Planar Density?

Planar density (PD ) is taken as the number of atoms perunit area that are centered on a particular crystallographic plane,
or
𝑃𝐷 =number of atoms centered on plane/area of plane .
The units for planar density are reciprocal area (e.g., nm−2,m−2).

How to Calculate Planar Density?

Planar Density calculator uses Planar Density = Number of Atoms Centered on Plane/Area of Plane to calculate the Planar Density, The Planar Density formula is defined as the number of atoms centered on plane per unit area of the plane. Planar Density is denoted by P.D symbol.

How to calculate Planar Density using this online calculator? To use this online calculator for Planar Density, enter Number of Atoms Centered on Plane (N) & Area of Plane (A) and hit the calculate button. Here is how the Planar Density calculation can be explained with given input values -> 6071.429 = 34/0.0056.

FAQ

What is Planar Density?
The Planar Density formula is defined as the number of atoms centered on plane per unit area of the plane and is represented as P.D = N/A or Planar Density = Number of Atoms Centered on Plane/Area of Plane. The Number of Atoms Centered on Plane is the total number of atoms lying on the given plane & The Area of Plane is the geometrical area of plane in the given direction.
How to calculate Planar Density?
The Planar Density formula is defined as the number of atoms centered on plane per unit area of the plane is calculated using Planar Density = Number of Atoms Centered on Plane/Area of Plane. To calculate Planar Density, you need Number of Atoms Centered on Plane (N) & Area of Plane (A). With our tool, you need to enter the respective value for Number of Atoms Centered on Plane & Area of Plane 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 Planar Density?
In this formula, Planar Density uses Number of Atoms Centered on Plane & Area of Plane. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Planar Density = 0.19/(Radius of Constituent Particle^2)
  • Planar Density = 0.25/(Radius of Constituent Particle^2)
  • Planar Density = 0.29/(Radius of Constituent Particle^2)
  • Planar Density = 0.177/(Radius of Constituent Particle^2)
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