in the system. The reaction network simply relaxes to a new steady state since the α
and β steps control the ratios M:M–M
0 :M
0 . The same arguments exist for the various
monometallic cases where M ¼ M
0 , and this is treated in Sect. 2 in more detail.
The structure shown in Fig. 2 hints at the potential for spectacular rate increases
with metal loading when the α step is rate determining. Since the general structure
of a single-product mechanism allows only one route to product(s), issues
concerning selectivity cannot be addressed by this structure alone (Fig. 2). Selectivity issues will be reserved for Sects. 2 and 3.
1.4 In Situ Spectroscopic Investigations, Specialized
Experimental Set-Ups, Chemometrics
Understanding of the speciation under catalytic reaction conditions and hence
confirmation of the catalytic binuclear elimination demonstrated in this chapter
required detailed in situ (operando) techniques. These areas are simply not under
the purview and scope of this chapter. Therefore it will be just briefly mentioned
that two excellent textbooks on this subject, one focusing on the special case of
homogeneous mechanisms [14] and the other general catalysis [15], exist and
should be consulted. Moreover, there are reviews available which specifically
focus on in situ FTIR in homogeneous catalysis [16], signal processing and
chemometrics in homogeneous catalysis [17] and the concurrent use of combined
in situ spectroscopy, chemometrics and DFT for confirming the identity of intermediates [18]. Information contained in the latter two reviews as well as on
specialized hermetically sealed recirculating experimental instrumentation to conduct experiments with various types of reaction perturbations [19] will be of special
importance to understanding the methods used in this chapter.
1.5 Brief Comment: Graph Theory and Flows in Networks
The literature related to graph theoretic representations of chemical reactions is vast
[20], and there are numerous classes of representations which have been used. By
far, the most frequent convention is to represent a reaction sequence with nodes
representing species and arrows or edges of the graph representing a single elementary reaction step (note: sometimes authors use an arrow for a nonelementary
reaction, or a set of nested arrows to do the same). Bipartite and multipartite graphs
are another very useful class of representations; however, the cyclic connectivity of
intermediates is much more difficult to visualize. Considering the importance of
visualizing the cyclical nature of catalysis, the classic convention will be adopted
throughout.
The Catalytic Binuclear Elimination Reaction: Importance of Non-linear. . .
193
and β steps control the ratios M:M–M
0 :M
0 . The same arguments exist for the various
monometallic cases where M ¼ M
0 , and this is treated in Sect. 2 in more detail.
The structure shown in Fig. 2 hints at the potential for spectacular rate increases
with metal loading when the α step is rate determining. Since the general structure
of a single-product mechanism allows only one route to product(s), issues
concerning selectivity cannot be addressed by this structure alone (Fig. 2). Selectivity issues will be reserved for Sects. 2 and 3.
1.4 In Situ Spectroscopic Investigations, Specialized
Experimental Set-Ups, Chemometrics
Understanding of the speciation under catalytic reaction conditions and hence
confirmation of the catalytic binuclear elimination demonstrated in this chapter
required detailed in situ (operando) techniques. These areas are simply not under
the purview and scope of this chapter. Therefore it will be just briefly mentioned
that two excellent textbooks on this subject, one focusing on the special case of
homogeneous mechanisms [14] and the other general catalysis [15], exist and
should be consulted. Moreover, there are reviews available which specifically
focus on in situ FTIR in homogeneous catalysis [16], signal processing and
chemometrics in homogeneous catalysis [17] and the concurrent use of combined
in situ spectroscopy, chemometrics and DFT for confirming the identity of intermediates [18]. Information contained in the latter two reviews as well as on
specialized hermetically sealed recirculating experimental instrumentation to conduct experiments with various types of reaction perturbations [19] will be of special
importance to understanding the methods used in this chapter.
1.5 Brief Comment: Graph Theory and Flows in Networks
The literature related to graph theoretic representations of chemical reactions is vast
[20], and there are numerous classes of representations which have been used. By
far, the most frequent convention is to represent a reaction sequence with nodes
representing species and arrows or edges of the graph representing a single elementary reaction step (note: sometimes authors use an arrow for a nonelementary
reaction, or a set of nested arrows to do the same). Bipartite and multipartite graphs
are another very useful class of representations; however, the cyclic connectivity of
intermediates is much more difficult to visualize. Considering the importance of
visualizing the cyclical nature of catalysis, the classic convention will be adopted
throughout.
The Catalytic Binuclear Elimination Reaction: Importance of Non-linear. . .
193