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Atomic Packing Factor Calculator

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Parameters Crystallography

✖Volume of Atoms in Unit Cell is the total volume of atoms present in the unit cell.ⓘ Volume of Atoms in Unit Cell [V_a]			+10% -10%
✖Volume of Unit Cell is is defined as the space occupied within the boundaries of unit cell.ⓘ Volume of Unit Cell [V_u]			+10% -10%

✖Atomic Packing Factor is the fraction of volume in a crystal structure that is occupied by constituent particles.ⓘ Atomic Packing Factor [APF]

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Atomic Packing Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Atomic Packing Factor = Volume of Atoms in Unit Cell/Volume of Unit Cell
APF = V_a/V_u
This formula uses 3 Variables

Variables Used

Atomic Packing Factor - Atomic Packing Factor is the fraction of volume in a crystal structure that is occupied by constituent particles.
Volume of Atoms in Unit Cell - (Measured in Cubic Meter) - Volume of Atoms in Unit Cell is the total volume of atoms present in the unit cell.
Volume of Unit Cell - (Measured in Cubic Meter) - Volume of Unit Cell is is defined as the space occupied within the boundaries of unit cell.

STEP 1: Convert Input(s) to Base Unit

Volume of Atoms in Unit Cell: 20.61 Cubic Angstrom --> 2.061E-29 Cubic Meter (Check conversion here)
Volume of Unit Cell: 105 Cubic Angstrom --> 1.05E-28 Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

APF = V_a/V_u --> 2.061E-29/1.05E-28

Evaluating ... ...

APF = 0.196285714285714

STEP 3: Convert Result to Output's Unit

0.196285714285714 --> No Conversion Required

FINAL ANSWER

0.196285714285714 ≈ 0.196286 <-- Atomic Packing Factor

(Calculation completed in 00.004 seconds)

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

Sanjay Krishna has created this Calculator and 300+ more calculators!

Verified by Rushi Shah

K J Somaiya College of Engineering (K J Somaiya), Mumbai

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< Parameters Calculators

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Atomic Packing Factor Formula

LaTeX Go

Atomic Packing Factor = Volume of Atoms in Unit Cell/Volume of Unit Cell
APF = V_a/V_u

Atomic Packing Factor calculator

Atomic packing factor (APF), packing efficiency, or packing fraction 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. In atomic systems, by convention, the APF is determined by assuming that atoms are rigid spheres. The radius of the spheres is taken to be the maximum value such that the atoms do not overlap. For one-component crystals (those that contain only one type of particle),

How to Calculate Atomic Packing Factor?

Atomic Packing Factor calculator uses Atomic Packing Factor = Volume of Atoms in Unit Cell/Volume of Unit Cell to calculate 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 calculate Atomic Packing Factor using this online calculator? To use this online calculator for Atomic Packing Factor, enter Volume of Atoms in Unit Cell (V_a) & Volume of Unit Cell (V_u) and hit the calculate button. Here is how the Atomic Packing Factor calculation can be explained with given input values -> 0.196286 = 2.061E-29/1.05E-28.

FAQ

What is 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 and is represented as APF = V_a/V_u or Atomic Packing Factor = Volume of Atoms in Unit Cell/Volume of Unit Cell. Volume of Atoms in Unit Cell is the total volume of atoms present in the unit cell & Volume of Unit Cell is is defined as the space occupied within the boundaries of unit cell.

How to calculate 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 is calculated using Atomic Packing Factor = Volume of Atoms in Unit Cell/Volume of Unit Cell. To calculate Atomic Packing Factor, you need Volume of Atoms in Unit Cell (V_a) & Volume of Unit Cell (V_u). With our tool, you need to enter the respective value for Volume of Atoms in Unit Cell & 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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