Homework Chapter 23 K & T Transition Metal Ions and Complexes

15. Electron configurations for the ions assuming a strong crystal field splitting (d-electron energy level splitting).
(a) Y^3+ Kr core diamagnetic
(b) Pt^3+ 5d^8 paramagnetic
(c) Rh^3+ 4d^6 paramagnetic if strong splitting
(c') Rh^3+ 4d^6 diamagnetic if weak splitting
(d) V^2+ 3d^3 paramagnetic
(e) Ce^4+ Xe core diamagnetic
(f) U^4+ 5f^2 paramagnetic

25. NH_4^+ because the proton, H^+, occupies the lone pair electrons of NH_3.

37.
(a)

(b) No isomers. The complex looks like

(c) No geometrical isomers. The complex looks like

(d) No geometrical isomers. The bidentate complex looks like

39. Enantiomer means non-superimposable, mirror images. Only figure (b) with four different groups about the central carbon has a non-superimposable mirror image.

41.

46. In both complexes Co has a valence of 3+ and is therefore d^6. [CoF_6]^3- must have a small crystal field splitting (the d-level energy separation must be small) and filling the five d-orbits with six electrons, following Hund's rule, gives a total electron spin S = 2.

The ammonia complex, being diamagnetic must have a strong d-level splitting so that the three lowest levels completely fill up with the six electrons and therefore S = 0.

49. Complex appearing violet must absorb yellowish light of around 580 nm.

61. For the NH_3 complex reaction the Gibbs Free Energy = -45 kJ/mol, Enthalpy = -109 kJ/mol and Entropy = 212 J/K

For the (en) complex reaction the Gibbs Free Energy = -102.7 kJ/mol, Enthalpy = -117 kJ/mol and Entropy = 48 J/K

It would appear that the great reduction in entropy going from the monodentate complex with ammonia to the bidentate complex with ethylene diamine offers great stability-a high formation constant. Biological complexes are most often bidentate or even higher so it must be that this is an evolutionary advantage living systems have used.