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Q. Among the following species, identify the isostructural pairs
$NF_3, NO_3^-, BF_3, H_3O^+, HN_3$

Chemical Bonding and Molecular Structure

Solution:

For species to be isostructural they should have same hybridized state same number of $b.p.$ and $l.p.$
image
Hybridized state L. p.
$NF_3\,\,H = \frac{1}{2} (5+3) = 4$
$\Rightarrow N$ is $sp^3$ hybridised
1
$NO^-_3\,\,H = \frac{1}{2} (5+1) = 3$
$\Rightarrow N$ is $sp^2$ hybridised
1
$BF_3\,\,H = \frac{1}{2} (3+3) = 3$
$\Rightarrow B$ is $sp^2$ hybridised
0
$B_3O^+\,\,H = \frac{1}{2} (6+3-1) = 4$
$\Rightarrow O$ is $sp^3$ hybridised
0

These three $sp^2$-hybrid orbitals are attached to each other trigonally with an angle of $120^{\circ}$ and they are overlapped with three $p$-orbitals of three $F$-atoms on their axes. Hence the geometry of $BF_3$ molecule is trigonal planar.
image
Thus isostructural pairsare $[NF_3, H_3O^+]$ and $[NO_3^-, BF_3]$