The center of a cubic hole is found ________ at the center of a simple cubic...

The center of a cubic hole is found ________

at the center of a simple cubic lattice.

at eight sites within a face-centered cubic lattice.

on the edges of a simple cubic lattice.

at the center of a face-centered cubic lattice.

on the faces of a body-centered cubic lattice.

Expert Solution

Name	Primitive cubic	Body-centered cubic	Face-centered cubic
Pearson symbol	cP	cI	cF
Unit cell

A simple cubic unit cell has a single cubic void in the center.

A body-centered cubic unit cell has six octahedral voids located at the center of each face of the unit cell, for a total of three net octahedral voids. Additionally, there are 36 tetrahedral voids located in an octahedral spacing around each octahedral void, for a total of eighteen net tetrahedral voids. These tetrahedral voids are not local maxima and are not technically voids, but they do occasionally appear in multi-atom unit cells.

A face-centered cubic unit cell has eight tetrahedral voids located slightly towards the center from each corner of the unit cell, for a total of eight net tetrahedral voids. Additionally, there are twelve octahedral voids located at the center of edge of the unit cell as well as one octahedral hole in the very center, for a total of four net octahedral voids.

Answer-> at the center of a face-centered cubic lattice

queen_honey_blossom answered 7 hours ago

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