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consider a 2d hexagonal packing.To construct a tetrahedral void,we place another atom over the interstices in layer one.To construct an octahedral void we place 3 atoms in 3 interstices such that the centroid of the 3 atoms gives the position of octahedral space.Now covering the space with another atom in the 3rd layer gives the octahedral void.instead of doing so,if we place another 3 atoms in the 3rd layer such that the space still extends(an inverted triangle to that obtained in layer 2).now if we place an atom in the 4th layer in order to fill the space,we get a new void which is niether a repitition of an octahedral void nor a tetrahedral void.if this is true why do we have only 2 types of voids????

consider a 2d hexagonal packing.To construct a tetrahedral void,we place another atom over the interstices in layer one.To construct an octahedral void we place 3 atoms in 3 interstices such that the centroid of the 3 atoms gives the position of octahedral space.Now covering the space with another atom in the 3rd layer gives the octahedral void.instead of doing so,if we place another 3 atoms in the 3rd layer such that the space still extends(an inverted triangle to that obtained in layer 2).now if we place an atom in the 4th layer in order to fill the space,we get a new void which is niether a repitition of an octahedral void nor a tetrahedral void.if this is true why do we have only 2 types of voids????

Grade:12

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