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Question of 101

Q.(a) Calculate the coordination number of Co in [Co(en)3]3+[Co(en)_3]^{3+}.

(b) Write the IUPAC name of [Ag(NH3)2][Ag(CN)2][Ag(NH_3)_2][Ag(CN)_2].
(c) What is crystal field splitting? OR
(d) Write the structures of the geometrical isomers of [Co(NH3)3Cl3][Co(NH_3)_3Cl_3].
(e) Explain why [Co(NH3)6]3+[Co(NH_3)_6]^{3+} is an inner orbital complex, whereas [Ni(NH3)6]2+[Ni(NH_3)_6]^{2+} is an outer orbital complex. (Atomic nos. of Co and Ni are 27 and 28, respectively)
Meghalaya MboseMBOSE Meghalaya Intermediate Board 2020Subjective· 3mImportance★★★★★
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Coordination number counts donor atoms, not ligands, so a tris-chelate of a bidentate ligand gives CN = 6. Naming a double-complex salt requires naming both complex ions. Crystal field theory splits degenerate d-orbitals under a ligand field. (OR: [Co(NH₃)₃Cl₃] shows fac/mer geometrical isomerism; whether a complex is inner- or outer-orbital depends on the metal's d-electron count and the ligand's field strength.)

(a) Coordination number of Co in [Co(en)3]3+[Co(en)_3]^{3+}.

Ethylenediamine (en=H2N–CH2–CH2–NH2en = H_2N\text{–}CH_2\text{–}CH_2\text{–}NH_2) is a bidentate ligand — it donates through two nitrogen atoms per molecule. With three enen ligands attached to CoCo:

Coordination number=3×2=6\text{Coordination number} = 3 \times 2 = 6

(b) IUPAC name of [Ag(NH3)2][Ag(CN)2][Ag(NH_3)_2][Ag(CN)_2].

This is a coordination compound made of a complex cation, [Ag(NH3)2]+[Ag(NH_3)_2]^{+}, and a complex anion, [Ag(NH3)2][Ag(NH_3)_2]... more precisely [Ag(CN)2]−[Ag(CN)_2]^{-}. In both, NH3NH_3 is neutral and CN−CN^{-} is −1-1 charged, so in each case AgAg is in the +1+1 oxidation state (charge balance: [Ag(NH3)2]+[Ag(CN)2]−[Ag(NH_3)_2]^{+}[Ag(CN)_2]^{-}, net neutral). Naming: cation first, then anion, ligands alphabetically within each, anionic complex ending in -ate:

Diamminesilver(I) dicyanidoargentate(I)\textbf{Diamminesilver(I) dicyanidoargentate(I)}

(c) Crystal field splitting.

In an isolated (gaseous) metal ion, all five d-orbitals are degenerate (equal energy). When ligands approach and form a coordination complex, their electric field is not spherically symmetric, so it interacts unequally with the differently oriented d-orbitals — this splits the five degenerate d-orbitals into two (or more) sets of different energies. In an octahedral field, they split into a lower-energy t2gt_{2g} set (3 orbitals) and a higher-energy ege_g set (2 orbitals), separated by the crystal field splitting energy Δo\Delta_o.

Alternative (Or):

(d) Geometrical isomers of [Co(NH3)3Cl3][Co(NH_3)_3Cl_3] (an MA3B3MA_3B_3 type octahedral complex).

  • facial (fac) isomer — the three ClCl ligands (and, correspondingly, the three NH3NH_3 ligands) occupy positions that form one triangular face of the octahedron, i.e. all three ClCl are mutually cis to each other.
  • meridional (mer) isomer — the three ClCl ligands lie along a meridian (a plane containing the metal), i.e. one ClCl is trans to another ClCl, with the third ClCl cis to both.

(e) Inner- vs outer-orbital character. …

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