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Packing Efficiency Formula

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The Packing Efficiency is the ratio of volume occupied by all the spheres in unit cell to the total volume of unit cell. Check FAQs

P = (\frac{v}{V}) \cdot 100

P - Packing Efficiency?v - Volume Occupied by Spheres in Unit Cell?V - Total Volume of Unit Cell?

Packing Efficiency Example

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With units

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Here is how the Packing Efficiency equation looks like with Values.

Here is how the Packing Efficiency equation looks like with Units.

Here is how the Packing Efficiency equation looks like.

77.7778 = (\frac{70}{90}) \cdot 100

77.7778 = (\frac{70m³}{90m³}) \cdot 100

77.7778 = (\frac{70}{90}) \cdot 100

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Packing Efficiency Solution

Follow our step by step solution on how to calculate Packing Efficiency?

FIRST Step Consider the formula

P = (\frac{v}{V}) \cdot 100

Next Step Substitute values of Variables

∴

P = (\frac{70m³}{90m³}) \cdot 100

Next Step Prepare to Evaluate

∴

P = (\frac{70}{90}) \cdot 100

Next Step Evaluate

∴

P = 77.7777777777778

LAST Step Rounding Answer

∴

P = 77.7778

Packing Efficiency Formula Elements

Variables

Packing Efficiency

The Packing Efficiency is the ratio of volume occupied by all the spheres in unit cell to the total volume of unit cell.

Symbol: P

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Packing Efficiency

Volume Occupied by Spheres in Unit Cell

The Volume Occupied by Spheres in Unit Cell is the total volume occupied by all the atoms present in the unit cell.

Symbol: v

Measurement: VolumeUnit: m³

Note: Value can be positive or negative.

Formulas to find Volume Occupied by Spheres in Unit Cell

Total Volume of Unit Cell

The Total Volume of Unit Cell is geometrical volume of unit cell.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value can be positive or negative.

Formulas to find Total Volume of Unit Cell

Other formulas in Lattice category

Go Edge length of Simple cubic unit cell

a = 2 \cdot R

Go Edge length of Body Centered Unit Cell

a = 4 \cdot \frac{R}{\sqrt{3}}

Go Edge Length of Face Centered Unit Cell

a = 2 \cdot \sqrt{2} \cdot R

Go Number of Tetrahedral Voids

T voids = 2 \cdot N closed

How to Evaluate Packing Efficiency?

Packing Efficiency evaluator uses Packing Efficiency = (Volume Occupied by Spheres in Unit Cell/Total Volume of Unit Cell)*100 to evaluate the Packing Efficiency, The Packing Efficiency formula is defined as the ratio of volume occupied by all spheres in the unit cell to the total volume of the unit cell. Packing Efficiency is denoted by P symbol.

How to evaluate Packing Efficiency using this online evaluator? To use this online evaluator for Packing Efficiency, enter Volume Occupied by Spheres in Unit Cell (v) & Total Volume of Unit Cell (V) and hit the calculate button.

FAQs on Packing Efficiency

What is the formula to find Packing Efficiency?

The formula of Packing Efficiency is expressed as Packing Efficiency = (Volume Occupied by Spheres in Unit Cell/Total Volume of Unit Cell)*100. Here is an example- 77.77778 = (70/90)*100.

How to calculate Packing Efficiency?

With Volume Occupied by Spheres in Unit Cell (v) & Total Volume of Unit Cell (V) we can find Packing Efficiency using the formula - Packing Efficiency = (Volume Occupied by Spheres in Unit Cell/Total Volume of Unit Cell)*100.

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Packing Efficiency Formula

Packing Efficiency Example

Packing Efficiency Solution

Packing Efficiency Formula Elements

Other formulas in Lattice category

How to Evaluate Packing Efficiency?

FAQs on Packing Efficiency

Variable Name