## Density of Unit Cell Solution

STEP 0: Pre-Calculation Summary
Formula Used
Density = Number of Atoms*Mass of Atom/((Edge Length^3)*[Avaga-no])
ρ = z*M/((a^3)*[Avaga-no])
This formula uses 1 Constants, 4 Variables
Constants Used
[Avaga-no] - Avogadro’s number Value Taken As 6.02214076E23
Variables Used
Density - (Measured in Kilogram per Cubic Meter) - The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.
Number of Atoms - The Number of Atoms is the the total number of constituent atoms in the unit cell.
Mass of Atom - (Measured in Kilogram) - The Mass of Atom is the mass of single atom present in the unit cell.
Edge Length - (Measured in Meter) - The Edge length is the length of the edge of the unit cell.
STEP 1: Convert Input(s) to Base Unit
Number of Atoms: 35 --> No Conversion Required
Mass of Atom: 42 Gram --> 0.042 Kilogram (Check conversion here)
Edge Length: 50 Centimeter --> 0.5 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ρ = z*M/((a^3)*[Avaga-no]) --> 35*0.042/((0.5^3)*[Avaga-no])
Evaluating ... ...
ρ = 1.95279394299644E-23
STEP 3: Convert Result to Output's Unit
1.95279394299644E-23 Kilogram per Cubic Meter --> No Conversion Required
1.95279394299644E-23 Kilogram per Cubic Meter <-- Density
(Calculation completed in 00.000 seconds)
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## Credits

Created by Pragati Jaju
College Of Engineering (COEP), Pune
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National Institute of Information Technology (NIIT), Neemrana
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## < 13 Density of different Cubic Cell Calculators

Density of Unit Cell
Density = Number of Atoms*Mass of Atom/((Edge Length^3)*[Avaga-no])
Linear Density for BCC 101 direction
Linear Density = sqrt(3)/(4*Radius of Constituent Particle*sqrt(2))
Density of BCC lattice
Density = 2*Mass of Atom/(Volume of Unit Cell*[Avaga-no])
Density of FCC Lattice
Density = 4*Mass of Atom/(Volume of Unit Cell*[Avaga-no])
Linear Density
Linear Density = Number of Atoms Centered on Direction Vector/Length of Direction Vector
Density of Simple Cubic Unit Cell
Density = Mass of Atom/(Volume of Unit Cell*[Avaga-no])
Planar Density
Planar Density = Number of Atoms Centered on Plane/Area of Plane
Planar Density for FCC 110 plane
Planar Density = 0.177/(Radius of Constituent Particle^2)
Planar Density for BCC 100 Plane
Planar Density = 0.19/(Radius of Constituent Particle^2)
Planar Density for FCC 100 Plane
Planar Density = 0.25/(Radius of Constituent Particle^2)
Planar Density for FCC 111 plane
Planar Density = 0.29/(Radius of Constituent Particle^2)
Linear Density for BCC 111 Direction
Linear Density = 1/(2*Radius of Constituent Particle)
Linear Density for BCC 110 direction
Linear Density = 0.306/Radius of Constituent Particle

## Density of Unit Cell Formula

Density = Number of Atoms*Mass of Atom/((Edge Length^3)*[Avaga-no])
ρ = z*M/((a^3)*[Avaga-no])

## What is Unit Cell?

The smallest group of atoms which has the overall symmetry of a crystal, and from which the entire lattice can be built up by repetition in three dimensions is termed as Unit Cell. Crystalline solids exhibit a regular and repeating pattern of constituent particles.

## How to Calculate Density of Unit Cell?

Density of Unit Cell calculator uses Density = Number of Atoms*Mass of Atom/((Edge Length^3)*[Avaga-no]) to calculate the Density, The Density of Unit Cell is given as the ratio of mass and volume of unit cell.The mass of a unit cell is equal to the product of the number of atoms in a unit cell and the mass of each atom in a unit cell. Density is denoted by ρ symbol.

How to calculate Density of Unit Cell using this online calculator? To use this online calculator for Density of Unit Cell, enter Number of Atoms (z), Mass of Atom (M) & Edge Length (a) and hit the calculate button. Here is how the Density of Unit Cell calculation can be explained with given input values -> 2E-23 = 35*0.042/((0.5^3)*[Avaga-no]).

### FAQ

What is Density of Unit Cell?
The Density of Unit Cell is given as the ratio of mass and volume of unit cell.The mass of a unit cell is equal to the product of the number of atoms in a unit cell and the mass of each atom in a unit cell and is represented as ρ = z*M/((a^3)*[Avaga-no]) or Density = Number of Atoms*Mass of Atom/((Edge Length^3)*[Avaga-no]). The Number of Atoms is the the total number of constituent atoms in the unit cell, The Mass of Atom is the mass of single atom present in the unit cell & The Edge length is the length of the edge of the unit cell.
How to calculate Density of Unit Cell?
The Density of Unit Cell is given as the ratio of mass and volume of unit cell.The mass of a unit cell is equal to the product of the number of atoms in a unit cell and the mass of each atom in a unit cell is calculated using Density = Number of Atoms*Mass of Atom/((Edge Length^3)*[Avaga-no]). To calculate Density of Unit Cell, you need Number of Atoms (z), Mass of Atom (M) & Edge Length (a). With our tool, you need to enter the respective value for Number of Atoms, Mass of Atom & Edge Length 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 Density?
In this formula, Density uses Number of Atoms, Mass of Atom & Edge Length. We can use 3 other way(s) to calculate the same, which is/are as follows -
• Density = Mass of Atom/(Volume of Unit Cell*[Avaga-no])
• Density = 2*Mass of Atom/(Volume of Unit Cell*[Avaga-no])
• Density = 4*Mass of Atom/(Volume of Unit Cell*[Avaga-no])
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