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The Solid State — Chemistry STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceChemistryThe Solid State3 Marks
Question
A compound formed by elements $A$ and $B$ has a cubic structure in which $A$ atoms are at the corners of the cube and $B$ atoms are at the face centres. Derive the formula of the compound.
✓

Answer

Number of $A$ atoms per unit cell $= 8($at the corners$) \times\frac{1}{8}=1$
Number of $B$ atoms per unit cell $= 6($at the centres$) \times\frac{1}{2}=3$
$A : = 1 : 3$
$\therefore$ The formula of the compound $= AB_3.$

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