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Atomic Packing Factor

Last modified by
on
Aug 15, 2022, 3:39:43 PM
Created by
on
Jan 8, 2016, 8:59:13 AM
APF=Np⋅VpVunAPF=Np⋅VpVun
(Np)Number of Atoms(Np)Number of Atoms
(Vp)Volume of each Atom(Vp)Volume of each Atom
(Vun)Volume of Unit Cell(Vun)Volume of Unit Cell
Tags
Density Crystallography atom Material Material Science
UUID
16da84c4-b5e6-11e5-9770-bc764e2038f2

The Atomic Packing Factor calculator computes the unitless fraction of volume in a crystal structure that is comprised of the particles that comprise the material.

INSTRUCTIONS: Choose units and enter the following:

  • (Natoms) Number of Particles
  • (Vatom) Volume of Each Particle
  • (Vunit cell) Volume of Unit Cell

Atomic Packing Factor (APF): The factor is returned as a real number.

The Math / Science

The Atomic Packing equation is used to compute the fraction of volume in a crystal structure that is occupied by constituent particles.  It is also known as packing efficiency or packing fraction.

APF is dimensionless 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 maximal value such that the atoms do not overlap.

The Atomic Packing formula is:
APF = N atoms * V atom / V unit cell
where:
  • APF = Atomic Packing Factor
  • Natoms = Number of Atoms
  • Vatom = Volume of each Atom
  • Vunit cell = Volume occupied by the atoms

References

Atomic Packing Factor. https://en.wikipedia.org/wiki/Atomic_packing_factor [Retrieved Jan 8, 2016]
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