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Atomic Packing Factor in Terms of Volume of Particle and Unit Cell Calculator

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✖The Number of Atoms is the the total number of constituent atoms in the unit cell.ⓘ Number of Atoms [z]			+10% -10%
✖Volume of each particle is the volume of each particle in unit cell.ⓘ Volume of Each Particle [V_particle]			+10% -10%
✖Volume of Unit Cell is is defined as the space occupied within the boundaries of unit cell.ⓘ Volume of Unit Cell [V_{unit cell}]			+10% -10%

✖Atomic Packing Factor is the fraction of volume in a crystal structure that is occupied by constituent particles.ⓘ Atomic Packing Factor in Terms of Volume of Particle and Unit Cell [APF]

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Atomic Packing Factor in Terms of Volume of Particle and Unit Cell Solution

STEP 0: Pre-Calculation Summary

Formula Used

Atomic Packing Factor = (Number of Atoms*Volume of Each Particle)/(Volume of Unit Cell)
APF = (z*V_particle)/(V_{unit cell})
This formula uses 4 Variables

Variables Used

Atomic Packing Factor - Atomic Packing Factor is the fraction of volume in a crystal structure that is occupied by constituent particles.
Number of Atoms - The Number of Atoms is the the total number of constituent atoms in the unit cell.
Volume of Each Particle - (Measured in Cubic Meter) - Volume of each particle is the volume of each particle in 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

Number of Atoms: 35 --> No Conversion Required
Volume of Each Particle: 10 Cubic Angstrom --> 1E-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 = (z*V_particle)/(V_{unit cell}) --> (35*1E-29)/(1.05E-28)

Evaluating ... ...

APF = 3.33333333333333

STEP 3: Convert Result to Output's Unit

3.33333333333333 --> No Conversion Required

FINAL ANSWER

3.33333333333333 ≈ 3.333333 <-- Atomic Packing Factor

(Calculation completed in 00.004 seconds)

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< Atomic Packing Factor Calculators

Atomic Packing Factor in Terms of Volume of Particle and Unit Cell

LaTeX Go Atomic Packing Factor = (Number of Atoms*Volume of Each Particle)/(Volume of Unit Cell)

Atomic Packing Factor of FCC

LaTeX Go Atomic Packing Factor = (4*Volume of Each Particle)/(Volume of Unit Cell)

Atomic Packing Factor of BCC

LaTeX Go Atomic Packing Factor = (2*Volume of Each Particle)/(Volume of Unit Cell)

Atomic Packing Factor of SCC

LaTeX Go Atomic Packing Factor = Volume of Each Particle/Volume of Unit Cell

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

LaTeX Go

Atomic Packing Factor = (Number of Atoms*Volume of Each Particle)/(Volume of Unit Cell)
APF = (z*V_particle)/(V_{unit cell})

What is the physical significance of Atomic Packing Factor?

Packing factor indicates how closely atoms are packed in a unit cell and is given by the ratio of volume of atoms in the unit cell and volume of the unit cell. In atomic systems, by convention, the packing factor is determined by assuming that atoms are rigid spheres. The radius of the spheres is taken to be the maximal value such that the atoms do not overlap.
A slip plane with the highest atomic density is preferred for deformation because the distance between atoms are so small that dislocation movement due to lower applied stress is easier and higher atomic packing factor is an indication of ease of deformation.

How to Calculate Atomic Packing Factor in Terms of Volume of Particle and Unit Cell?

Atomic Packing Factor in Terms of Volume of Particle and Unit Cell calculator uses Atomic Packing Factor = (Number of Atoms*Volume of Each Particle)/(Volume of Unit Cell) to calculate the Atomic Packing Factor, The Atomic Packing Factor in terms of volume of particle and unit cell 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. Atomic Packing Factor is denoted by APF symbol.

How to calculate Atomic Packing Factor in Terms of Volume of Particle and Unit Cell using this online calculator? To use this online calculator for Atomic Packing Factor in Terms of Volume of Particle and Unit Cell, enter Number of Atoms (z), Volume of Each Particle (V_particle) & Volume of Unit Cell (V_{unit cell}) and hit the calculate button. Here is how the Atomic Packing Factor in Terms of Volume of Particle and Unit Cell calculation can be explained with given input values -> 3.333333 = (35*1E-29)/(1.05E-28).

FAQ

What is Atomic Packing Factor in Terms of Volume of Particle and Unit Cell?

The Atomic Packing Factor in terms of volume of particle and unit cell 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 and is represented as APF = (z*V_particle)/(V_{unit cell}) or Atomic Packing Factor = (Number of Atoms*Volume of Each Particle)/(Volume of Unit Cell). The Number of Atoms is the the total number of constituent atoms in the unit cell, Volume of each particle is the volume of each particle in 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 in Terms of Volume of Particle and Unit Cell?

The Atomic Packing Factor in terms of volume of particle and unit cell 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 is calculated using Atomic Packing Factor = (Number of Atoms*Volume of Each Particle)/(Volume of Unit Cell). To calculate Atomic Packing Factor in Terms of Volume of Particle and Unit Cell, you need Number of Atoms (z), Volume of Each Particle (V_particle) & Volume of Unit Cell (V_{unit cell}). With our tool, you need to enter the respective value for Number of Atoms, Volume of Each Particle & 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.

How many ways are there to calculate Atomic Packing Factor?

In this formula, Atomic Packing Factor uses Number of Atoms, Volume of Each Particle & Volume of Unit Cell. We can use 3 other way(s) to calculate the same, which is/are as follows -

Atomic Packing Factor = Volume of Each Particle/Volume of Unit Cell
Atomic Packing Factor = (4*Volume of Each Particle)/(Volume of Unit Cell)
Atomic Packing Factor = (2*Volume of Each Particle)/(Volume of Unit Cell)

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