Fully oxidized
hars/alp
ha.gif" BORDER=0>-Al
IIIW
12O
405- (
1ox), and one-electron-reduced
hars/alp
ha.gif" BORDER=0>-Al
IIIW
12O
406- (
1red), are well-be
haved (stable andfree of ion pairing) over a wide range of pH and ionic-strengt
h values at room temperature in water. Havingestablis
hed t
his,
27Al NMR spectroscopy is used to measure rates of electron exc
hange between
1ox (
27Al NMR:72.2 ppm relative to Al(H
2O)
63+;
hars/nu.gif" BORDER=0 >
1/2 = 0.77 Hz) and
1red (74.1 ppm;
hars/nu.gif" BORDER=0 >
1/2 = 0.76 Hz). Bimolecular rate constants,
k, are obtained from line broadening in
27Al NMR signals as ionic strengt
h,
, is increased by addition of NaCl att
he slow-exc
hange limit of t
he NMR time scale. T
he dependence of
k on
is plotted using t
he extended Debye-Hückel equation: log
k = log
k0 + 2
hars/alp
ha.gif" BORDER=0>
z1z21/2/(1 +
hars/beta2.gif" BORDER=0 ALIGN="middle">
r1/2), w
here
z1 and
z2 are t
he c
harges of
1ox and
1red,
hars/alp
ha.gif" BORDER=0> and
hars/beta2.gif" BORDER=0 ALIGN="middle"> are constants, and
r, t
he distance of closest contact, is fixed at 1.12 nm, t
he crystallograp
hic diameter of aKeggin anion. Alt
houg
h not derived for
hig
hly c
harged ions, t
his equation gives a straig
ht line (
R2 = 0.996), w
hoseslope gives a c
harge product,
z1z2, of 29 ± 2, statistically identical to t
he t
heoretical value of 30. Extrapolation to
= 0 gives a rate constant
k11 of (6.5 ± 1.5) × 10
-3 M
-1 s
-1, more t
han 7 orders of magnitude smaller t
han t
herate constant [(1.1 ± 0.2) × 10
5 M
-1 s
-1] determined by
31P NMR for self-exc
hange between P
VW
12O
403- and itsone-electron-reduced form, P
VW
12O
404-. Sutin's semiclassical model reveals t
hat t
his dramatic difference arisesfrom t
he large negative c
harges of
1ox and
1red. T
hese results, including independent verification of
k11, recommend
1red as a well-be
haved electron donor for investigating outer-sp
here electron transfer to molecules or nanostructuresin water, w
hile addressing a larger issue, t
he prediction of collision rates between uniformly c
harged nanosp
heres,for w
hic
h 1ox and
1red provide a working model.