Packing Efficiency Solution

STEP 0: Pre-Calculation Summary
Formula Used
Packing Efficiency = (Volume Occupied by Spheres in Unit Cell/Total Volume of Unit Cell)*100
P = (v/V)*100
This formula uses 3 Variables
Variables Used
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.
Volume Occupied by Spheres in Unit Cell - (Measured in Cubic Meter) - The Volume Occupied by Spheres in Unit Cell is the total volume occupied by all the atoms present in the unit cell.
Total Volume of Unit Cell - (Measured in Cubic Meter) - The Total Volume of Unit Cell is geometrical volume of unit cell.
STEP 1: Convert Input(s) to Base Unit
Volume Occupied by Spheres in Unit Cell: 70 Cubic Meter --> 70 Cubic Meter No Conversion Required
Total Volume of Unit Cell: 90 Cubic Meter --> 90 Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = (v/V)*100 --> (70/90)*100
Evaluating ... ...
P = 77.7777777777778
STEP 3: Convert Result to Output's Unit
77.7777777777778 --> No Conversion Required
FINAL ANSWER
77.7777777777778 77.77778 <-- Packing Efficiency
(Calculation completed in 00.004 seconds)

Credits

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Created by Pragati Jaju
College Of Engineering (COEP), Pune
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Verified by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
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Lattice Calculators

Packing Efficiency
​ LaTeX ​ Go Packing Efficiency = (Volume Occupied by Spheres in Unit Cell/Total Volume of Unit Cell)*100
Edge length of Body Centered Unit Cell
​ LaTeX ​ Go Edge Length = 4*Radius of Constituent Particle/sqrt(3)
Edge Length of Face Centered Unit Cell
​ LaTeX ​ Go Edge Length = 2*sqrt(2)*Radius of Constituent Particle
Edge length of Simple cubic unit cell
​ LaTeX ​ Go Edge Length = 2*Radius of Constituent Particle

Packing Efficiency Formula

​LaTeX ​Go
Packing Efficiency = (Volume Occupied by Spheres in Unit Cell/Total Volume of Unit Cell)*100
P = (v/V)*100

What is Unit Cell?

The smallest repeating unit of the crystal lattice is the unit cell, the building block of a crystal.

The unit cells which are all identical are defined in such a way that they fill space without overlapping. The 3D arrangement of atoms, molecules or ions inside a crystal is called a crystal lattice. It is made up of numerous unit cells. One of the three constituent particles takes up every lattice point.

A unit cell can either be primitive cubic, body-centred cubic (BCC) or face-centred cubic (FCC). In this section, we will discuss the three types of unit cell in detail.

How to Calculate Packing Efficiency?

Packing Efficiency calculator uses Packing Efficiency = (Volume Occupied by Spheres in Unit Cell/Total Volume of Unit Cell)*100 to calculate 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 calculate Packing Efficiency using this online calculator? To use this online calculator for Packing Efficiency, enter Volume Occupied by Spheres in Unit Cell (v) & Total Volume of Unit Cell (V) and hit the calculate button. Here is how the Packing Efficiency calculation can be explained with given input values -> 77.77778 = (70/90)*100.

FAQ

What is 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 and is represented as P = (v/V)*100 or Packing Efficiency = (Volume Occupied by Spheres in Unit Cell/Total Volume of Unit Cell)*100. The Volume Occupied by Spheres in Unit Cell is the total volume occupied by all the atoms present in the unit cell & The Total Volume of Unit Cell is geometrical volume of unit cell.
How to calculate 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 is calculated using Packing Efficiency = (Volume Occupied by Spheres in Unit Cell/Total Volume of Unit Cell)*100. To calculate Packing Efficiency, you need Volume Occupied by Spheres in Unit Cell (v) & Total Volume of Unit Cell (V). With our tool, you need to enter the respective value for Volume Occupied by Spheres in Unit Cell & Total Volume of Unit Cell and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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