Planar Density for FCC 111 plane Solution

STEP 0: Pre-Calculation Summary
Formula Used
Planar Density = 0.29/(Radius of Constituent Particle^2)
P.D = 0.29/(R^2)
This formula uses 2 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.
Radius of Constituent Particle - (Measured in Meter) - The Radius of Constituent Particle is the radius of the atom present in the unit cell.
STEP 1: Convert Input(s) to Base Unit
Radius of Constituent Particle: 60 Angstrom --> 6E-09 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P.D = 0.29/(R^2) --> 0.29/(6E-09^2)
Evaluating ... ...
P.D = 8.05555555555556E+15
STEP 3: Convert Result to Output's Unit
8.05555555555556E+15 --> No Conversion Required
FINAL ANSWER
8.05555555555556E+15 8.1E+15 <-- Planar Density
(Calculation completed in 00.004 seconds)

Credits

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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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Density of different Cubic Cell Calculators

Density of Unit Cell
​ LaTeX ​ Go Density = Number of Atoms*Mass of Atom/((Edge Length^3)*[Avaga-no])
Linear Density for BCC 101 direction
​ LaTeX ​ Go Linear Density = sqrt(3)/(4*Radius of Constituent Particle*sqrt(2))
Linear Density
​ LaTeX ​ Go Linear Density = Number of Atoms Centered on Direction Vector/Length of Direction Vector
Linear Density for BCC 111 Direction
​ LaTeX ​ Go Linear Density = 1/(2*Radius of Constituent Particle)

Planar Density for FCC 111 plane Formula

​LaTeX ​Go
Planar Density = 0.29/(Radius of Constituent Particle^2)
P.D = 0.29/(R^2)

What is Planar Density?

Planar Density is defined as the number of atoms per unit area that are centered on a particular crystallographic plane.
It's unit is reciprocal of area.
The units of planar density are mm^-2, cm^-2.

How to Calculate Planar Density for FCC 111 plane?

Planar Density for FCC 111 plane calculator uses Planar Density = 0.29/(Radius of Constituent Particle^2) to calculate the Planar Density, The Planar Density for FCC 111 plane formula is defined a number of atoms per unit area that are centered on a particular crystallographic plane. Planar Density is denoted by P.D symbol.

How to calculate Planar Density for FCC 111 plane using this online calculator? To use this online calculator for Planar Density for FCC 111 plane, enter Radius of Constituent Particle (R) and hit the calculate button. Here is how the Planar Density for FCC 111 plane calculation can be explained with given input values -> 8.1E+15 = 0.29/(6E-09^2).

FAQ

What is Planar Density for FCC 111 plane?
The Planar Density for FCC 111 plane formula is defined a number of atoms per unit area that are centered on a particular crystallographic plane and is represented as P.D = 0.29/(R^2) or Planar Density = 0.29/(Radius of Constituent Particle^2). The Radius of Constituent Particle is the radius of the atom present in the unit cell.
How to calculate Planar Density for FCC 111 plane?
The Planar Density for FCC 111 plane formula is defined a number of atoms per unit area that are centered on a particular crystallographic plane is calculated using Planar Density = 0.29/(Radius of Constituent Particle^2). To calculate Planar Density for FCC 111 plane, you need Radius of Constituent Particle (R). With our tool, you need to enter the respective value for Radius of Constituent Particle 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 Radius of Constituent Particle. We can use 3 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 = 0.177/(Radius of Constituent Particle^2)
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