Concept:The geometry of a complex depends on the coordination number (C.N.), the oxidation state/electronic configuration of the metal and the strength of the ligand field.
Complexes/ions:A:
[Pt(Cl)2(NH3)2]B:
[Co(NH3)6]Cl3C:
[NiCl4]2−D:
[Fe(CO)5]Explanation:For A: Pt is in the
+2 state with a
5d8 configuration and C.N.
=4.
Since
Pt2+ is a heavy
5d metal, the crystal field splitting is very large, so pairing occurs and the hybridisation is
dsp2, giving a square planar shape (both cis and trans isomers are square planar).
Hence A matches III (square planar).
For B: Co is in the
+3 state (
3d6) with C.N.
=6 in
[Co(NH3)6]Cl3.
NH3 is a strong field ligand, so the
3d electrons pair up and the hybridisation is
d2sp3, giving an octahedral shape.
Hence B matches I (octahedral).
For C: Ni is in the
+2 state (
3d8) with C.N.
=4 in
[NiCl4]2−.
Cl− is a weak field ligand, so no pairing of
3d electrons occurs and the hybridisation is
sp3, giving a tetrahedral shape (paramagnetic with 2 unpaired electrons).
Hence C matches IV (tetrahedral).
For D: Fe is in the zero oxidation state with C.N.
=5 in
[Fe(CO)5] (
Fe effectively has a
3d8 configuration after the
4s electrons are used).
CO is a strong field ligand and the hybridisation is
dsp3, giving a trigonal bipyramidal shape.
Hence D matches II (trigonal bipyramidal).
Shortcut:For C.N.
=4: a
d8 metal with a strong ligand field (e.g.
Ni2+ with
CN−, or any
Pt2+ complex) is square planar, whereas a weak ligand field (e.g.
Ni2+ with
Cl−) gives a tetrahedral shape.
For C.N.
=5,
dsp3 hybridisation gives a trigonal bipyramidal shape, and for C.N.
=6,
d2sp3 hybridisation gives an octahedral shape.
Answer:A-III, B-I, C-IV, D-II, i.e. the option A-III, B-I, C-IV, D-II.