In
applications of monolayer-protected gold clusters, assessing
the dynamic behavior of the capping monolayer is crucial, as this
determines the cluster’s effective size and electron-transfer
(ET) properties. Here, we describe a systematic study on the effect
of the monolayer thickness on the ET between molecular Au25(SR)18
0 nanoclusters in films. The length of
the ligands protecting the Au core was varied by using a series of
linear-chain thiolate (SC
n
H2n+1) protected Au25 clusters, where n = 3, 4, 5, 6, 7, 8, and 10. The effect of branching was
assessed by using the 2-methyl-1-butanethiolate-protected Au25 cluster. Conductivity measurements were carried out on dry films
obtained by drop-casting Au25(SR)18
0 solutions onto interdigitated gold electrodes. Changing the alkyl
chain from C3 to C10 induces a smooth decrease in the film conductivity
by 3.5 orders of magnitude. By using electrochemically determined
Stokes radii, the conductivity results were transformed into the corresponding
ET rate constants (k
ETs) between neighboring
clusters. k
ET exponentially depends on
the distance, and the data show that the average Au center-to-center
distance in the film is not larger than the sum of two Stokes radii.
This indicates that linear alkyl chains hold a detectable degree of
fluidity in films, although not as much as in solution, as shown by
the trend of the corresponding heterogeneous standard rate-constant
values. For both physical states, these conclusions are precisely
confirmed by the much slower ET rate determined for the Au25 cluster protected by the hindered thiolate. ET in films was also
studied as a function of temperature, and the results were analyzed
in the framework of the ET theory. We found that the outer and inner
reorganization energies increase with n. For these
ETs, the electronic coupling resonance between the reactant and product
states, H
RP, ranges from 12 (n = 3) to 0.7 cm–1 (n = 10) and
therefore ETs are nonadiabatic. The data also show that 3/4 of the
effect of distance on k
ET is related to H
RP, while the rest is associated with the intrinsic
barrier and thus the distance dependence of the outer and inner reorganization
energies.