Electrode h
alf-re
action entropies,
![](/im<font color=)
ages/gifch
ars/Delt
a.gif" BORDER=0 >
S![](/im<font color=)
ages/entities/deg.gif">
rc,
are me
asured
as
a function of solvent
and electrolyte type
and concentr
ationfor four M(t
acn)
23+/2+ (M = Fe, Ni, Co, Ru; t
acn = 1,4,7-tri
az
acyclonon
ane) redox couples th
at experiencedifferent
amounts of structur
al ch
ange in conjunction with electron tr
ansfer. Met
al dependent v
alues of
![](/im<font color=)
ages/gifch
ars/Delt
a.gif" BORDER=0 >
S![](/im<font color=)
ages/entities/deg.gif">
rc areobserved for these couples
and
are shown to
arise prim
arily from vibr
ation
al
and electronic contributions tointr
amolecul
ar entropy. Vibr
ation
al terms become import
ant when frequencies
are sm
all
and ch
ange signific
antlywith
a ch
ange in oxid
ation st
ate,
as occurs when
an incre
ase in number of
antibonding electrons we
akens met
al-lig
and bonds upon reduction. Entropy me
asurements
are referenced to the Ru
3+/2+ couple, which is ch
ar
acterizedby sm
all inner-shell reorg
aniz
ation. Experiment
ally, me
an v
alues of
![](/im<font color=)
ages/gifch
ars/Delt
a.gif" BORDER=0 >(
![](/im<font color=)
ages/gifch
ars/Delt
a.gif" BORDER=0 >
S![](/im<font color=)
ages/entities/deg.gif">
rc)
M-Ru = 27 (7), 30 (6),
and 69 (14)J mol
-1 K
-1 obt
ained from d
at
a in seven solvents
are observed for M = Fe, Ni,
and Co, respectively. The computedsums of vibr
ation
al (obt
ained using oct
ahedr
al stretching frequencies of M(NH
3)
63+/2+ complexes)
and electronicentropy differences equ
al 4, 31,
and 69 J mol
-1 K
-1 for the s
ame three met
als rel
ative to Ru. The unexpectedlyl
arge v
alue of
![](/im<font color=)
ages/gifch
ars/Delt
a.gif" BORDER=0 >(
![](/im<font color=)
ages/gifch
ars/Delt
a.gif" BORDER=0 >
S![](/im<font color=)
ages/entities/deg.gif">
rc)
Fe-Ru is the result of
a spin-st
ate equilibrium in solution. Temper
ature-dependent m
agneticsusceptibility me
asurements yield
![](/im<font color=)
ages/gifch
ars/Delt
a.gif" BORDER=0 >
H![](/im<font color=)
ages/entities/deg.gif"> = 23.8 (1.0) kJ mol
-1,
![](/im<font color=)
ages/gifch
ars/Delt
a.gif" BORDER=0 >
S![](/im<font color=)
ages/entities/deg.gif"> = 68.2 (2.8) J mol
-1 K
-1,
and
KSE = 0.25(298 K) for conversion of low- to high-spin Fe(t
acn)
22+ in D
2O. Observ
ation of uniform v
alues of
![](/im<font color=)
ages/gifch
ars/Delt
a.gif" BORDER=0 >(
![](/im<font color=)
ages/gifch
ars/Delt
a.gif" BORDER=0 >
S![](/im<font color=)
ages/entities/deg.gif">
rc)
M-Rufor e
ach couple in seven solvents indic
ates th
at, if inner-
and outer-shell reorg
aniz
ations
are coupled during electrontr
ansfer, this f
act is not reflected in the solvent dependence of
![](/im<font color=)
ages/gifch
ars/Delt
a.gif" BORDER=0 >
S![](/im<font color=)
ages/entities/deg.gif">
rc. Ion-p
air form
ation occurs between oxidizedcomplexes
and electrolyte
anions. Neg
ative
and positive contributions to
![](/im<font color=)
ages/gifch
ars/Delt
a.gif" BORDER=0 >
S![](/im<font color=)
ages/entities/deg.gif">
rc result
as ion-p
aired M(t
acn)
23+:X
- is reduced to dissoci
ated M(t
acn)
22+ in H
2O when X
- = Cl
- and ClO
4-, respectively.