atomic packing factor (APF) or packing fraction isthe fraction of volume in a crystal structure that is occupied byatoms. It is dimensionless and always less than unity. Forpractical purposes, the APF of a crystal structure is determined byassuming that atoms are rigid spheres. For one-component crystals(those that contain only one type of atom), the APF is representedmathematically by where Natoms is the number of atoms in thecrystal, Vatom is the volume of an atom, and Vcrystalis the volume occupied by the crystal. It can be provenmathematically that for one-component structures, the most densearrangement of atoms has an APF of about 0.74. In reality, thisnumber can be higher due to specific intermolecular factors. Formultiple-component structures, the APF can exceed 0.74.
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