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AP EAMCET · Chemistry · Solid State

A cubic lattice has atoms of \(A\) at the body centre, atoms of \(B\) at the corners of the cube and atoms \(C\) at all the face centres. What is its formula?

  1. A \(A B C_3\)
  2. B \(A B C_2\)
  3. C \(A B_2 \mathrm{C}\)
  4. D \(A_2 B C_3\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(A B C_3\)

Step-by-step Solution

Detailed explanation

Number of atoms of \(A=1\) ( 1 atom is present at centre of cell) Number of atoms of \(B=\) Number of corners \(\times\) Contribution of each atom \[ =8 \times \frac{1}{8}=1 \] Number of atoms of \(C=\) Number of faces \(\times\) Contribution of each atom…