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Density of Unit Cell Formula

GoDensity of Simple Cubic Unit Cell Formula

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

ρ - Density?z - Number of Atoms?M - Mass of Atom?a - Edge Length?[Avaga-no] - Avogadro’s number?

Density of Unit Cell Example

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Here is how the Density of Unit Cell equation looks like with Values.

Here is how the Density of Unit Cell equation looks like with Units.

Here is how the Density of Unit Cell equation looks like.

2E-23 = 35 \cdot \frac{42}{(50^{3}) \cdot 6E+23}

2E-23kg/m³ = 35 \cdot \frac{42g}{({50cm}^{3}) \cdot 6E+23}

2E-23 = 35 \cdot \frac{42}{(50^{3}) \cdot 6E+23}

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Density of Unit Cell Solution

Follow our step by step solution on how to calculate Density of Unit Cell?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

ρ = 35 \cdot \frac{42g}{({50cm}^{3}) \cdot [Avaga-no]}

Next Step Substitute values of Constants

∴

ρ = 35 \cdot \frac{42g}{({50cm}^{3}) \cdot 6E+23}

Next Step Convert Units

∴

ρ = 35 \cdot \frac{0.042kg}{({0.5m}^{3}) \cdot 6E+23}

Next Step Prepare to Evaluate

∴

ρ = 35 \cdot \frac{0.042}{({0.5}^{3}) \cdot 6E+23}

Next Step Evaluate

∴

ρ = 1.95279394299644E-23kg/m³

LAST Step Rounding Answer

∴

ρ = 2E-23kg/m³

Density of Unit Cell 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

Number of Atoms

The Number of Atoms is the the total number of constituent atoms in the unit cell.

Symbol: z

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Number of Atoms

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

Edge Length

The Edge length is the length of the edge of the unit cell.

Symbol: a

Measurement: LengthUnit: cm

Note: Value can be positive or negative.

Formulas to find Edge Length

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 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]}

Go Density of FCC Lattice

ρ = 4 \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 Unit Cell?

Density of Unit Cell evaluator uses Density = Number of Atoms*Mass of Atom/((Edge Length^3)*[Avaga-no]) to evaluate 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 evaluate Density of Unit Cell using this online evaluator? To use this online evaluator for Density of Unit Cell, enter Number of Atoms (z), Mass of Atom (M) & Edge Length (a) and hit the calculate button.

FAQs on Density of Unit Cell

What is the formula to find Density of Unit Cell?

The formula of Density of Unit Cell is expressed as Density = Number of Atoms*Mass of Atom/((Edge Length^3)*[Avaga-no]). Here is an example- 2E-23 = 35*0.042/((0.5^3)*[Avaga-no]).

How to calculate Density of Unit Cell?

With Number of Atoms (z), Mass of Atom (M) & Edge Length (a) we can find Density of Unit Cell using the formula - Density = Number of Atoms*Mass of Atom/((Edge Length^3)*[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=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])

Can the Density of Unit Cell be negative?

No, the Density of Unit Cell, measured in Density cannot be negative.

Which unit is used to measure Density of Unit Cell?

Density of Unit Cell 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 Unit Cell can be measured.

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Density of Unit Cell Formula

​GoDensity of Simple Cubic Unit Cell Formula

​GoDensity of BCC lattice Formula

Density of Unit Cell Example

Density of Unit Cell Solution

Density of Unit Cell Formula Elements

Other Formulas to find Density

Other formulas in Density of different Cubic Cell category

How to Evaluate Density of Unit Cell?

FAQs on Density of Unit Cell

Variable Name

GoDensity of Simple Cubic Unit Cell Formula

GoDensity of BCC lattice Formula