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Atomic Packing Factor 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{V a}{V u}

APF - Atomic Packing Factor?V_a - Volume of Atoms in Unit Cell?V_u - Volume of Unit Cell?

Atomic Packing Factor Example

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With units

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

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

Here is how the Atomic Packing Factor equation looks like.

0.1963 = \frac{20.61}{105}

0.1963 = \frac{20.61A³}{105A³}

0.1963 = \frac{20.61}{105}

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Atomic Packing Factor Solution

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

FIRST Step Consider the formula

APF = \frac{V a}{V u}

Next Step Substitute values of Variables

∴

APF = \frac{20.61A³}{105A³}

Next Step Convert Units

∴

APF = \frac{2.1E-29m³}{1.1E-28m³}

Next Step Prepare to Evaluate

∴

APF = \frac{2.1E-29}{1.1E-28}

Next Step Evaluate

∴

APF = 0.196285714285714

LAST Step Rounding Answer

∴

APF = 0.1963

Atomic Packing Factor 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 should be greater than 0.

Formulas to find Atomic Packing Factor

Volume of Atoms in Unit Cell

Volume of Atoms in Unit Cell is the total volume of atoms present in the unit cell.

Symbol: V_a

Measurement: VolumeUnit: A³

Note: Value should be greater than 0.

Formulas to find Volume of Atoms in Unit Cell

Volume of Unit Cell

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

Symbol: V_u

Measurement: VolumeUnit: A³

Note: Value should be greater than 0.

Formulas to find Volume of Unit Cell

Other formulas in Parameters category

Go Theoretical Density

ρ' = \frac{V}{M}

Go Poisson Ratio

𝛎 = \frac{Sd}{ε l}

Go Linear Thermal Expansion

ΔL = α t \cdot L bar \cdot Δθ

Go Atomic Packing Factor Percentage

APF % = APF \cdot 100

How to Evaluate Atomic Packing Factor?

Atomic Packing Factor evaluator uses Atomic Packing Factor = Volume of Atoms in Unit Cell/Volume of Unit Cell to evaluate the Atomic Packing Factor, Atomic Packing Factor (APF) is a measure of how efficiently atoms are packed in a crystal structure. It is the ratio of the volume occupied by atoms to the total volume of the unit cell. Atomic Packing Factor is denoted by APF symbol.

How to evaluate Atomic Packing Factor using this online evaluator? To use this online evaluator for Atomic Packing Factor, enter Volume of Atoms in Unit Cell (V_a) & Volume of Unit Cell (V_u) and hit the calculate button.

FAQs on Atomic Packing Factor

What is the formula to find Atomic Packing Factor?

The formula of Atomic Packing Factor is expressed as Atomic Packing Factor = Volume of Atoms in Unit Cell/Volume of Unit Cell. Here is an example- 0.196286 = 2.061E-29/1.05E-28.

How to calculate Atomic Packing Factor?

With Volume of Atoms in Unit Cell (V_a) & Volume of Unit Cell (V_u) we can find Atomic Packing Factor using the formula - Atomic Packing Factor = Volume of Atoms in Unit Cell/Volume of Unit Cell.

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Atomic Packing Factor Formula

Atomic Packing Factor Example

Atomic Packing Factor Solution

Atomic Packing Factor Formula Elements

Other formulas in Parameters category

How to Evaluate Atomic Packing Factor?

FAQs on Atomic Packing Factor

Variable Name