In crystal lattice, following are the main voids
This type of void is formed when two large atoms (anions) are arranged linearly. A small atom (cation) can occupy this void.
Void space among three atoms of same size in a plane is known as trigonal planer void
If one atom is placed over three other atoms which are in contact, then space available among four atoms is called tetrahedral void.
Void space available between four atoms in contact is square planer void
It we put four atoms in a plane which are in contact and put one atom above and one below then, void available among six atoms is called octahedral void
If we put four atoms in one plane which are in contact and put another four atom over it, then space available is cubical void.
In the given fc.c. unit cell, it we consider any corner then there will be three faces associated with it. Tetrahedral void is formed by four atoms, three from faces and one from corner. Because there are eight centres in unit cell hence there will be eight tetrahedral voids. If we divide the unit cell into eight equal small cubes, then centre of small cube will correspond to the centre of tetrahedral void from given figure let us consider two specified cubes A and B. By considering these cubes we can prove the location of tetrahedral void
For octahedral void consider any four atoms from four faces, these will construct a square planer void, now if we put other two face atoms above and below to the four atoms, then these six will form octahedral void. Apart from the centre octahedral voids are also present at edge centre, each edge centred octahedral void contributes ¼ of its volume to the unit cell. Hence total contribution to the unit cell will be
Tetrahedral and octahedral voids in hcp
In hcp total number of tetrahedral voids = 12
In hcp total number of octahedral voids = 6
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