Density of FCC Lattice Solution

STEP 0: Pre-Calculation Summary
Formula Used
Density = 4*Mass of Atom/(Volume of Unit Cell*[Avaga-no])
ρ = 4*M/(Vunit cell*[Avaga-no])
This formula uses 1 Constants, 3 Variables
Constants Used
[Avaga-no] - Avogadro’s number Value Taken As 6.02214076E+23
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.
Mass of Atom - (Measured in Kilogram) - The Mass of Atom is the mass of single atom present in the unit cell.
Volume of Unit Cell - (Measured in Cubic Meter) - Volume of Unit Cell is is defined as the space occupied within the boundaries of unit cell.
STEP 1: Convert Input(s) to Base Unit
Mass of Atom: 42 Gram --> 0.042 Kilogram (Check conversion ​here)
Volume of Unit Cell: 105 Cubic Angstrom --> 1.05E-28 Cubic Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ρ = 4*M/(Vunit cell*[Avaga-no]) --> 4*0.042/(1.05E-28*[Avaga-no])
Evaluating ... ...
ρ = 2656.86250747815
STEP 3: Convert Result to Output's Unit
2656.86250747815 Kilogram per Cubic Meter --> No Conversion Required
FINAL ANSWER
2656.86250747815 2656.863 Kilogram per Cubic Meter <-- Density
(Calculation completed in 00.020 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)

Density of FCC Lattice Formula

​LaTeX ​Go
Density = 4*Mass of Atom/(Volume of Unit Cell*[Avaga-no])
ρ = 4*M/(Vunit cell*[Avaga-no])

What is Density of Unit Cell?

Density of a 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.

How to Calculate Density of FCC Lattice?

Density of FCC Lattice calculator uses Density = 4*Mass of Atom/(Volume of Unit Cell*[Avaga-no]) to calculate the Density, The Density of FCC lattice formula is defined as ratio of total mass of unit cell to the volume of unit cell. Density is denoted by ρ symbol.

How to calculate Density of FCC Lattice using this online calculator? To use this online calculator for Density of FCC Lattice, enter Mass of Atom (M) & Volume of Unit Cell (Vunit cell) and hit the calculate button. Here is how the Density of FCC Lattice calculation can be explained with given input values -> 2656.863 = 4*0.042/(1.05E-28*[Avaga-no]).

FAQ

What is Density of FCC Lattice?
The Density of FCC lattice formula is defined as ratio of total mass of unit cell to the volume of unit cell and is represented as ρ = 4*M/(Vunit cell*[Avaga-no]) or Density = 4*Mass of Atom/(Volume of Unit Cell*[Avaga-no]). The Mass of Atom is the mass of single atom present in the unit cell & Volume of Unit Cell is is defined as the space occupied within the boundaries of unit cell.
How to calculate Density of FCC Lattice?
The Density of FCC lattice formula is defined as ratio of total mass of unit cell to the volume of unit cell is calculated using Density = 4*Mass of Atom/(Volume of Unit Cell*[Avaga-no]). To calculate Density of FCC Lattice, you need Mass of Atom (M) & Volume of Unit Cell (Vunit cell). With our tool, you need to enter the respective value for Mass of Atom & Volume of Unit Cell 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 Mass of Atom & Volume of Unit Cell. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Density = Number of Atoms*Mass of Atom/((Edge Length^3)*[Avaga-no])
  • Density = Mass of Atom/(Volume of Unit Cell*[Avaga-no])
  • Density = 2*Mass of Atom/(Volume of Unit Cell*[Avaga-no])
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