A substance crystallizes with one atom at each corner, one atom on 8 of the edges, and one atom on 6 of the faces. How many atoms are present in one unit cell

Respuesta :

The number of atoms in one unit cell with one atom at each corner, one atom on 8 of the edges, and one atom on 6 of the faces are 4.6atoms.

There is one atom at each corner and there are 8 corners in a unit cell, so there is one atom in each of the eight corners.

Therefore, the number of atom from corners = 1 x 1/8 = 1atom

There are 12 edges, since there are one atom on 8 of the edges the number of atom = 1 x 8/12 = 0.6atom

There is one atom at each face and there are 6 faces in a unit cell, each atom shares two face.

Therefore, the number of atoms on face = 2 x 1/6 = 3

Total number of atoms in one unit cell = 1 + 0.6 + 3 = 4.6atoms

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