A compound is formed by atoms of elements A occupying the corners of the unit cell and an atom of element B present at the center of the unit cell. Deduce the formula of the compound.(a) AB2(b) AB3(c) AB4(d) ABThe question was posed to me during an interview for a job.My question comes from Solid State in division Solid State of Chemistry – Class 12

A compound is formed by atoms of elements A occupying the corners of t

1.	A compound is formed by atoms of elements A occupying the corners of the unit cell and an atom of element B present at the center of the unit cell. Deduce the formula of the compound.(a) AB2(b) AB3(c) AB4(d) ABThe question was posed to me during an interview for a job.My question comes from Solid State in division Solid State of Chemistry – Class 12
Answer» Correct OPTION is (d) AB For explanation I would SAY: The description is of a BCC. For BCC, each atom at the corner is shared by 8 unit CELLS. One atom at the CENTER wholly belongs to the corresponding unit cell. Therefore, total number of atoms of A present=\(\frac{1}{8}\) x 8=1 Total number of atoms of B present=1 Therefore, A:B=1:1 implying the formula of the COMPOUND is AB.

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