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Atomic Packing Factor in Terms of Volume of Particle and Unit Cell Formula

GoAtomic Packing Factor of SCC Formula

GoAtomic Packing Factor of FCC Formula

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Atomic Packing Factor is the fraction of volume in a crystal structure that is occupied by constituent particles. Check FAQs

APF = \frac{z \cdot V particle}{V unit cell}

APF - Atomic Packing Factor?z - Number of Atoms?V_particle - Volume of Each Particle?V_{unit cell} - Volume of Unit Cell?

Atomic Packing Factor in Terms of Volume of Particle and Unit Cell Example

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Here is how the Atomic Packing Factor in Terms of Volume of Particle and Unit Cell equation looks like with Values.

Here is how the Atomic Packing Factor in Terms of Volume of Particle and Unit Cell equation looks like with Units.

Here is how the Atomic Packing Factor in Terms of Volume of Particle and Unit Cell equation looks like.

3.3333 = \frac{35 \cdot 10}{105}

3.3333 = \frac{35 \cdot 10A³}{105A³}

3.3333 = \frac{35 \cdot 10}{105}

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Atomic Packing Factor in Terms of Volume of Particle and Unit Cell Solution

Follow our step by step solution on how to calculate Atomic Packing Factor in Terms of Volume of Particle and Unit Cell?

FIRST Step Consider the formula

APF = \frac{z \cdot V particle}{V unit cell}

Next Step Substitute values of Variables

∴

APF = \frac{35 \cdot 10A³}{105A³}

Next Step Convert Units

∴

APF = \frac{35 \cdot 1E-29m³}{1.1E-28m³}

Next Step Prepare to Evaluate

∴

APF = \frac{35 \cdot 1E-29}{1.1E-28}

Next Step Evaluate

∴

APF = 3.33333333333333

LAST Step Rounding Answer

∴

APF = 3.3333

Atomic Packing Factor in Terms of Volume of Particle and Unit Cell Formula Elements

Variables

Atomic Packing Factor

Atomic Packing Factor is the fraction of volume in a crystal structure that is occupied by constituent particles.

Symbol: APF

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Atomic Packing Factor

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

Volume of Each Particle

Volume of each particle is the volume of each particle in unit cell.

Symbol: V_particle

Measurement: VolumeUnit: A³

Note: Value can be positive or negative.

Formulas to find Volume of Each Particle

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

Other Formulas to find Atomic Packing Factor

Go Atomic Packing Factor of SCC

APF = \frac{V particle}{V unit cell}

Go Atomic Packing Factor of FCC

APF = \frac{4 \cdot V particle}{V unit cell}

Go Atomic Packing Factor of BCC

APF = \frac{2 \cdot V particle}{V unit cell}

Go Atomic Packing Factor in Terms of Particle Radius

APF = \frac{z \cdot (\frac{4}{3}) \cdot π \cdot (r^{3})}{a^{3}}

How to Evaluate Atomic Packing Factor in Terms of Volume of Particle and Unit Cell?

Atomic Packing Factor in Terms of Volume of Particle and Unit Cell evaluator uses Atomic Packing Factor = (Number of Atoms*Volume of Each Particle)/(Volume of Unit Cell) to evaluate the Atomic Packing Factor, The Atomic Packing Factor in terms of volume of particle and unit cell is the fraction of volume in a crystal structure that is occupied by constituent particles. It is a dimensionless quantity and always less than unity. Atomic Packing Factor is denoted by APF symbol.

How to evaluate Atomic Packing Factor in Terms of Volume of Particle and Unit Cell using this online evaluator? To use this online evaluator for Atomic Packing Factor in Terms of Volume of Particle and Unit Cell, enter Number of Atoms (z), Volume of Each Particle (V_particle) & Volume of Unit Cell (V_{unit cell}) and hit the calculate button.

FAQs on Atomic Packing Factor in Terms of Volume of Particle and Unit Cell

What is the formula to find Atomic Packing Factor in Terms of Volume of Particle and Unit Cell?

The formula of Atomic Packing Factor in Terms of Volume of Particle and Unit Cell is expressed as Atomic Packing Factor = (Number of Atoms*Volume of Each Particle)/(Volume of Unit Cell). Here is an example- 3.333333 = (35*1E-29)/(1.05E-28).

How to calculate Atomic Packing Factor in Terms of Volume of Particle and Unit Cell?

With Number of Atoms (z), Volume of Each Particle (V_particle) & Volume of Unit Cell (V_{unit cell}) we can find Atomic Packing Factor in Terms of Volume of Particle and Unit Cell using the formula - Atomic Packing Factor = (Number of Atoms*Volume of Each Particle)/(Volume of Unit Cell).

What are the other ways to Calculate Atomic Packing Factor?

Here are the different ways to Calculate Atomic Packing Factor-

Atomic Packing Factor=Volume of Each Particle/Volume of Unit Cell
Atomic Packing Factor=(4*Volume of Each Particle)/(Volume of Unit Cell)
Atomic Packing Factor=(2*Volume of Each Particle)/(Volume of Unit Cell)

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Atomic Packing Factor in Terms of Volume of Particle and Unit Cell Formula

​GoAtomic Packing Factor of SCC Formula

​GoAtomic Packing Factor of FCC Formula

Atomic Packing Factor in Terms of Volume of Particle and Unit Cell Example

Atomic Packing Factor in Terms of Volume of Particle and Unit Cell Solution

Atomic Packing Factor in Terms of Volume of Particle and Unit Cell Formula Elements

Other Formulas to find Atomic Packing Factor

How to Evaluate Atomic Packing Factor in Terms of Volume of Particle and Unit Cell?

FAQs on Atomic Packing Factor in Terms of Volume of Particle and Unit Cell

Variable Name

GoAtomic Packing Factor of SCC Formula

GoAtomic Packing Factor of FCC Formula