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Atomic Packing Factor of FCC Formula

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

GoAtomic Packing Factor of SCC 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{4 \cdot V particle}{V unit cell}

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

Atomic Packing Factor of FCC Example

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With units

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Here is how the Atomic Packing Factor of FCC equation looks like with Values.

Here is how the Atomic Packing Factor of FCC equation looks like with Units.

Here is how the Atomic Packing Factor of FCC equation looks like.

0.381 = \frac{4 \cdot 10}{105}

0.381 = \frac{4 \cdot 10A³}{105A³}

0.381 = \frac{4 \cdot 10}{105}

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Atomic Packing Factor of FCC Solution

Follow our step by step solution on how to calculate Atomic Packing Factor of FCC?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

APF = \frac{4 \cdot 10A³}{105A³}

Next Step Convert Units

∴

APF = \frac{4 \cdot 1E-29m³}{1.1E-28m³}

Next Step Prepare to Evaluate

∴

APF = \frac{4 \cdot 1E-29}{1.1E-28}

Next Step Evaluate

∴

APF = 0.380952380952381

LAST Step Rounding Answer

∴

APF = 0.381

Atomic Packing Factor of FCC 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

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 in Terms of Volume of Particle and Unit Cell

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

Go Atomic Packing Factor of SCC

APF = \frac{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 of FCC?

Atomic Packing Factor of FCC evaluator uses Atomic Packing Factor = (4*Volume of Each Particle)/(Volume of Unit Cell) to evaluate the Atomic Packing Factor, The Atomic Packing Factor of FCC is the fraction of volume in a face centered crystal that is occupied by constituent particles. It is a dimensionless quantity and always less than unity. For a face-centered cubic unit cell, the number of atoms is four. Atomic Packing Factor is denoted by APF symbol.

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

FAQs on Atomic Packing Factor of FCC

What is the formula to find Atomic Packing Factor of FCC?

The formula of Atomic Packing Factor of FCC is expressed as Atomic Packing Factor = (4*Volume of Each Particle)/(Volume of Unit Cell). Here is an example- 0.380952 = (4*1E-29)/(1.05E-28).

How to calculate Atomic Packing Factor of FCC?

With Volume of Each Particle (V_particle) & Volume of Unit Cell (V_{unit cell}) we can find Atomic Packing Factor of FCC using the formula - Atomic Packing Factor = (4*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=(Number of Atoms*Volume of Each Particle)/(Volume of Unit Cell)
Atomic Packing Factor=Volume of Each Particle/Volume of Unit Cell
Atomic Packing Factor=(2*Volume of Each Particle)/(Volume of Unit Cell)

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