Conspectus
For the past two decades, linear
free energy scaling relationships
and volcano plots have seen frequent use as computational tools that
aid in understanding and predicting the catalytic behavior of heterogeneous
and electrocatalysts. Based on Sabatier’s principle, which
states that a catalyst should bind a substrate neither too strongly
nor too weakly, volcano plots provide an estimate of catalytic performance
(e.g., overpotential, catalytic cycle thermodynamics/kinetics, etc.) through knowledge of a descriptor variable. By the
use of linear free energy scaling relationships, the value of this
descriptor is employed to estimate the relative energies of other
catalytic cycle intermediates/transition states. Postprocessing of
these relationships leads to a volcano curve that reveals the anticipated
performance of each catalyst, with the best species appearing on or
near the peak or plateau. While the origin of volcanoes is undoubtedly
rooted in examining heterogeneously catalyzed reactions, only recently
has this concept been transferred to the realm of homogeneous catalysis.
This Account summarizes the work done by our group in implementing
and refining “molecular volcano plots” for use in analyzing
and predicting the behavior of homogeneous catalysts.
We begin
by taking the reader through the initial proof-of-principle
study that transferred the model from heterogeneous to homogeneous
catalysis by examining thermodynamic aspects of a Suzuki–Miyaura
cross-coupling reaction. By establishing linear free energy scaling
relationships and reproducing the volcano shape, we definitively showed
that volcano plots are also valid for homogeneous systems. On the
basis of this key finding, we further illustrate how unified pictures
of C–C cross-coupling thermodynamics were created using three-dimensional
molecular volcanoes.
The second section highlights an important
transformation from
“thermodynamic” to “kinetic” volcanoes
by using the descriptor variable to directly estimate transition state
barriers. Taking this idea further, we demonstrate how volcanoes can
be used to directly predict an experimental observable, the turnover
frequency. Discussion is also provided on how different flavors of
molecular volcanoes can be used to analyze aspects of homogeneous
catalysis of interest to experimentalists, such as determining the
product selectivity and probing the substrate scope.
The third
section focuses on incorporating machine learning approaches
into molecular volcanoes and invoking big-data-type approaches in
the analysis of catalytic behavior. Specifically, we illustrate how
machine learning can be used to predict the value of the descriptor
variable, which facilitates nearly instantaneous screening of thousands
of catalysts. With the large amount of data created from the machine
learning/volcano plot tandem, we show how the resulting database can
be mined to garner an enhanced understanding of catalytic processes.
Emphasis is also placed on the latest generation of augmented volcano
plots, which differ fundame...