Conventional wisdom maintains that
![](/images/gifchars/beta2.gif)
isomers of fully oxidized Keggin heteropolytungstates,[X
n+W
VI12O
40]
(8-n)- (X = main-group or transition-metal cation), are unstable with respect to
![](/images/gifchars/alpha.gif)
structuressuch that isomeric rearrangements all occur in the direction
![](/images/gifchars/alpha.gif)
. Contrary to this view, equilibria between
![](/images/gifchars/alpha.gif)
and
![](/images/gifchars/beta2.gif)
forms of the Keggin anion [Al
IIIW
12O
40]
5- (
![](/images/gifchars/alpha.gif)
- and
![](/images/gifchars/beta2.gif)
-
1) have now been observed. Moreover, a trendin kinetic and thermodynamic stabilities of
![](/images/gifchars/beta2.gif)
isomers in the order X = Al(III) > Si(IV) > P(V) has beenestablished, and the difference in energy between
![](/images/gifchars/alpha.gif)
and
![](/images/gifchars/beta2.gif)
isomers (
![](/images/gifchars/alpha.gif)
- and
![](/images/gifchars/beta2.gif)
-
1) has been quantified for thefirst time. Mild acid condensation of WO
42-, followed by addition of Al(III), gave [Al(AlOH
2)W
11O
39]
6-(
2)-three
![](/images/gifchars/beta2.gif)
-isomer derivatives,
1 (
Cs symmetry),
2 (
C1), and
3 (
Cs), with the
![](/images/gifchars/alpha.gif)
derivative (
Cs) a minorproduct-in nearly quantitative yield by
27Al NMR spectroscopy. Acidification of the reaction mixture to pH0 and refluxing cleanly converted
2 to H
5[Al
IIIW
12O
40] (
1)-mostly
![](/images/gifchars/beta2.gif)
-
1 (yellow,
C3v), with
![](/images/gifchars/alpha.gif)
-
1 (white,
Td) aminor product. Samples of each isomer were isolated by fractional crystallization and characterized by
27Aland
183W NMR, IR, and UV-vis spectroscopy, cyclic voltammetry, and single-crystal X-ray diffraction. TheAl-O bond length in the
Td AlO
4 group at the center of
![](/images/gifchars/alpha.gif)
-
1 (hydrated potassium salt of
![](/images/gifchars/alpha.gif)
-
1; final
R1 =3.42%) establishes a trend in X-O bond lengths in the [X
n+O
4]
(8-n)- groups of
![](/images/gifchars/alpha.gif)
-Keggin anions of 1.74(1),1.64(2), and 1.53(1) Å, respectively, for X = Al(III), Si(IV), and P(V). Equilibria between isomers of
1 wereobserved by heating separate 0.1 M aqueous solutions of either pure
![](/images/gifchars/alpha.gif)
or
![](/images/gifchars/beta2.gif)
anions under identical conditions.The progress of the reaction was measured, and the relative concentrations of the
![](/images/gifchars/alpha.gif)
and
![](/images/gifchars/beta2.gif)
isomers present atequilibrium were determined by
27Al NMR spectroscopy. First-order rate constants for approach to equilibriumof
![](/images/gifchars/alpha.gif)
- and
![](/images/gifchars/beta2.gif)
-
1 at 473 K were
k1(![](/images/gifchars/alpha.gif)
![](/images/entities/rarr.gif)
) = 7.68 × 10
-7 s
-1 and
k-1(![](/images/gifchars/beta2.gif)
![](/images/entities/rarr.gif)
) = 6.97 × 10
-6 s
-1. The equilibrium ratioof
![](/images/gifchars/beta2.gif)
-
1 to
![](/images/gifchars/alpha.gif)
-
1 (
k1/
k-1) was
Keq(473 K, 0.1 M 1) = 0.11 ± 0.01. From
G = -
RT ln
Keq,
![](/images/gifchars/alpha.gif)
-
1 is more stable than
![](/images/gifchars/beta2.gif)
-
1 by 2.1 ± 0.5 kcal mol
-1. Controlled hydrolysis of
![](/images/gifchars/alpha.gif)
-
1 gave the monolacunary derivative
![](/images/gifchars/alpha.gif)
-Na
9[AlW
11O
39](
![](/images/gifchars/alpha.gif)
-
3;
Cs); hydrolysis of
![](/images/gifchars/beta2.gif)
-
1 gave
2-
3 (
C1) as the major product. Thermal equilibration of the lacunary Kegginheteropolytungstates could also be achieved: Independently heated solutions of either
![](/images/gifchars/alpha.gif)
-
3 or
2-
3 (0.13 M ofeither isomer in D
2O at 333 K; natural pH values of ca. 7) both gave solutions containing
![](/images/gifchars/alpha.gif)
-
3 (60%) and asingle
![](/images/gifchars/beta2.gif)
-
3 isomer of
Cs symmetry (40%). Using
Keq = 1.5, the two isomers differ in energy by 0.3 kcal mol
-1.