Calculate the number of atoms in a cubic unit cell having one atom on each corner and two atoms on each body diagonal.

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asked Dec 9, 2017 in Chemistry by sforrest072 (157,439 points) 63 448 1290

Calculate the number of atoms in a cubic unit cell having one atom on each corner and two atoms on each body diagonal.

1 Answer

+1 vote
answered Dec 9, 2017 by mdsamim (213,225 points) 5 10 23
selected Feb 28, 2018 by sarthaks
 
Best answer

8 corner × 1/8 atom per unit cell = 1 atom

 There are four body diagonals in a cubic unit cell and each has two body centre atoms.

 So, 4 × 2 = 8 atoms therefore, total number of atoms per unit cell = 1 + 8 = 9.

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