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Density of FCC Lattice Formula

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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. Check FAQs

ρ = 4 \cdot \frac{M}{V unit cell \cdot [Avaga-no]}

ρ - Density?M - Mass of Atom?V_{unit cell} - Volume of Unit Cell?[Avaga-no] - Avogadro’s number?

Density of FCC Lattice Example

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With units

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Here is how the Density of FCC Lattice equation looks like with Values.

Here is how the Density of FCC Lattice equation looks like with Units.

Here is how the Density of FCC Lattice equation looks like.

2656.8625 = 4 \cdot \frac{42}{105 \cdot 6E+23}

2656.8625kg/m³ = 4 \cdot \frac{42g}{105A³ \cdot 6E+23}

2656.8625 = 4 \cdot \frac{42}{105 \cdot 6E+23}

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Density of different Cubic Cell » fx Density of FCC Lattice

Density of FCC Lattice Solution

Follow our step by step solution on how to calculate Density of FCC Lattice?

FIRST Step Consider the formula

ρ = 4 \cdot \frac{M}{V unit cell \cdot [Avaga-no]}

Next Step Substitute values of Variables

∴

ρ = 4 \cdot \frac{42g}{105A³ \cdot [Avaga-no]}

Next Step Substitute values of Constants

∴

ρ = 4 \cdot \frac{42g}{105A³ \cdot 6E+23}

Next Step Convert Units

∴

ρ = 4 \cdot \frac{0.042kg}{1.1E-28m³ \cdot 6E+23}

Next Step Prepare to Evaluate

∴

ρ = 4 \cdot \frac{0.042}{1.1E-28 \cdot 6E+23}

Next Step Evaluate

∴

ρ = 2656.86250747815kg/m³

LAST Step Rounding Answer

∴

ρ = 2656.8625kg/m³

Density of FCC Lattice Formula Elements

Variables

Constants

Density

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.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density

Mass of Atom

The Mass of Atom is the mass of single atom present in the unit cell.

Symbol: M

Measurement: WeightUnit: g

Note: Value can be positive or negative.

Formulas to find Mass of Atom

Volume of Unit Cell

Volume of Unit Cell is is defined as the space occupied within the boundaries of unit cell.

Symbol: V_{unit cell}

Measurement: VolumeUnit: A³

Note: Value should be greater than 0.

Formulas to find Volume of Unit Cell

Avogadro’s number

Avogadro’s number represents the number of entities (atoms, molecules, ions, etc.) in one mole of a substance.

Symbol: [Avaga-no]

Value: 6.02214076E+23

Other Formulas to find Density

Go Density of Unit Cell

ρ = z \cdot \frac{M}{(a^{3}) \cdot [Avaga-no]}

Go Density of Simple Cubic Unit Cell

ρ = \frac{M}{V unit cell \cdot [Avaga-no]}

Go Density of BCC lattice

ρ = 2 \cdot \frac{M}{V unit cell \cdot [Avaga-no]}

Other formulas in Density of different Cubic Cell category

Go Linear Density

L.D = \frac{n}{L}

Go Linear Density for BCC 101 direction

L.D = \frac{\sqrt{3}}{4 \cdot R \cdot \sqrt{2}}

Go Linear Density for BCC 111 Direction

L.D = \frac{1}{2 \cdot R}

Go Planar Density for BCC 100 Plane

P.D = \frac{0.19}{R^{2}}

How to Evaluate Density of FCC Lattice?

Density of FCC Lattice evaluator uses Density = 4*Mass of Atom/(Volume of Unit Cell*[Avaga-no]) to evaluate 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 evaluate Density of FCC Lattice using this online evaluator? To use this online evaluator for Density of FCC Lattice, enter Mass of Atom (M) & Volume of Unit Cell (V_{unit cell}) and hit the calculate button.

FAQs on Density of FCC Lattice

What is the formula to find Density of FCC Lattice?

The formula of Density of FCC Lattice is expressed as Density = 4*Mass of Atom/(Volume of Unit Cell*[Avaga-no]). Here is an example- 2656.863 = 4*0.042/(1.05E-28*[Avaga-no]).

How to calculate Density of FCC Lattice?

With Mass of Atom (M) & Volume of Unit Cell (V_{unit cell}) we can find Density of FCC Lattice using the formula - Density = 4*Mass of Atom/(Volume of Unit Cell*[Avaga-no]). This formula also uses Avogadro’s number constant(s).

What are the other ways to Calculate Density?

Here are the different ways to Calculate Density-

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])

Can the Density of FCC Lattice be negative?

No, the Density of FCC Lattice, measured in Density cannot be negative.

Which unit is used to measure Density of FCC Lattice?

Density of FCC Lattice is usually measured using the Kilogram per Cubic Meter[kg/m³] for Density. Kilogram per Cubic Centimeter[kg/m³], Gram per Cubic Meter[kg/m³], Gram per Cubic Centimeter[kg/m³] are the few other units in which Density of FCC Lattice can be measured.

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