Edge length of Simple cubic unit cell Solution

STEP 0: Pre-Calculation Summary
Formula Used
Edge Length = 2*Radius of Constituent Particle
a = 2*R
This formula uses 2 Variables
Variables Used
Edge Length - (Measured in Meter) - The Edge length is the length of the edge of the unit cell.
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
a = 2*R --> 2*6E-09
Evaluating ... ...
a = 1.2E-08
STEP 3: Convert Result to Output's Unit
1.2E-08 Meter -->120 Angstrom (Check conversion here)
FINAL ANSWER
120 Angstrom <-- Edge Length
(Calculation completed in 00.004 seconds)

Credits

Created by Pragati Jaju
College Of Engineering (COEP), Pune
Pragati Jaju has created this Calculator and 50+ more calculators!
Verified by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
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24 Lattice Calculators

Miller index along X-axis using Weiss Indices
Go Miller Index along x-axis = lcm(Weiss Index along x-axis,Weiss Index along y-axis,Weiss Index Along z-axis)/Weiss Index along x-axis
Miller index along Y-axis using Weiss Indices
Go Miller Index along y-axis = lcm(Weiss Index along x-axis,Weiss Index along y-axis,Weiss Index Along z-axis)/Weiss Index along y-axis
Miller index along Z-axis using Weiss Indices
Go Miller Index along z-axis = lcm(Weiss Index along x-axis,Weiss Index along y-axis,Weiss Index Along z-axis)/Weiss Index Along z-axis
Edge Length using Interplanar Distance of Cubic Crystal
Go Edge Length = Interplanar Spacing*sqrt((Miller Index along x-axis^2)+(Miller Index along y-axis^2)+(Miller Index along z-axis^2))
Fraction of impurity in lattice terms of Energy
Go Fraction of Impurities = exp(-Energy required per impurity/([R]*Temperature))
Energy per impurity
Go Energy required per impurity = -ln(Fraction of Impurities)*[R]*Temperature
Fraction of Vacancy in lattice terms of Energy
Go Fraction of Vacancy = exp(-Energy Required per Vacancy/([R]*Temperature))
Energy per vacancy
Go Energy Required per Vacancy = -ln(Fraction of Vacancy)*[R]*Temperature
Packing Efficiency
Go Packing Efficiency = (Volume Occupied by Spheres in Unit Cell/Total Volume of Unit Cell)*100
Number of lattice containing impurities
Go No. of Lattice Occupied by Impurities = Fraction of Impurities*Total no. of lattice points
Fraction of impurity in lattice
Go Fraction of Impurities = No. of Lattice Occupied by Impurities/Total no. of lattice points
Fraction of Vacancy in lattice
Go Fraction of Vacancy = Number of Vacant Lattice/Total no. of lattice points
Number of vacant lattice
Go Number of Vacant Lattice = Fraction of Vacancy*Total no. of lattice points
Weiss Index along X-axis using Miller Indices
Go Weiss Index along x-axis = LCM of Weiss Indices/Miller Index along x-axis
Weiss Index along Y-axis using Miller Indices
Go Weiss Index along y-axis = LCM of Weiss Indices/Miller Index along y-axis
Weiss Index along Z-axis using Miller Indices
Go Weiss Index Along z-axis = LCM of Weiss Indices/Miller Index along z-axis
Radius of Constituent Particle in BCC lattice
Go Radius of Constituent Particle = 3*sqrt(3)*Edge Length/4
Edge length of Body Centered Unit Cell
Go Edge Length = 4*Radius of Constituent Particle/sqrt(3)
Edge Length of Face Centered Unit Cell
Go Edge Length = 2*sqrt(2)*Radius of Constituent Particle
Radius Ratio
Go Radius Ratio = Radius of Cation/Radius of Anion
Number of Tetrahedral Voids
Go Number of Tetrahedral Voids = 2*Number of Closed Packed Spheres
Radius of Constituent Particle in FCC lattice
Go Radius of Constituent Particle = Edge Length/2.83
Radius of Constituent particle in Simple Cubic Unit Cell
Go Radius of Constituent Particle = Edge Length/2
Edge length of Simple cubic unit cell
Go Edge Length = 2*Radius of Constituent Particle

Edge length of Simple cubic unit cell Formula

Edge Length = 2*Radius of Constituent Particle
a = 2*R

What is Simple Cubic Unit Cell?

The simple cubic unit cell is the simplest repeating unit in a simple cubic structure. Each corner of the unit cell is defined by a lattice point at which an atom, ion, or molecule can be found in the crystal. By convention, the edge of a unit cell always connects equivalent points. Each of the eight corners of the unit cell therefore must contain an identical particle. Other particles can be present on the edges or faces of the unit cell, or within the body of the unit cell. But the minimum that must be present for the unit cell to be classified as simple cubic is eight equivalent particles on the eight corners.

How to Calculate Edge length of Simple cubic unit cell?

Edge length of Simple cubic unit cell calculator uses Edge Length = 2*Radius of Constituent Particle to calculate the Edge Length, The Edge length of Simple cubic unit cell formula is defined as two times length of the radius of constituent particle. Edge Length is denoted by a symbol.

How to calculate Edge length of Simple cubic unit cell using this online calculator? To use this online calculator for Edge length of Simple cubic unit cell, enter Radius of Constituent Particle (R) and hit the calculate button. Here is how the Edge length of Simple cubic unit cell calculation can be explained with given input values -> 1.2E+12 = 2*6E-09.

FAQ

What is Edge length of Simple cubic unit cell?
The Edge length of Simple cubic unit cell formula is defined as two times length of the radius of constituent particle and is represented as a = 2*R or Edge Length = 2*Radius of Constituent Particle. The Radius of Constituent Particle is the radius of the atom present in the unit cell.
How to calculate Edge length of Simple cubic unit cell?
The Edge length of Simple cubic unit cell formula is defined as two times length of the radius of constituent particle is calculated using Edge Length = 2*Radius of Constituent Particle. To calculate Edge length of Simple cubic unit cell, 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 Edge Length?
In this formula, Edge Length uses Radius of Constituent Particle. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Edge Length = 4*Radius of Constituent Particle/sqrt(3)
  • Edge Length = 2*sqrt(2)*Radius of Constituent Particle
  • Edge Length = Interplanar Spacing*sqrt((Miller Index along x-axis^2)+(Miller Index along y-axis^2)+(Miller Index along z-axis^2))
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