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A Toy Model of Chemical Reaction Networks - TBI - Universität Wien

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Chapter 6<br />

Computational results<br />

When the three components molecules, reactions, and network simulation<br />

are put together, it is possible to build a CRN performing molecular property<br />

prediction and model reduction on the fly, given only a list <strong>of</strong> initial<br />

SMILES. For the following CRNs, regioselectivity was simulated using the<br />

simple equations described at the end <strong>of</strong> section 3.6.<br />

6.1 Repetitive Diels-Alder reactions<br />

The Diels-Alder reaction [25] has been extensively studied thanks to its importance<br />

in natural products synthesis and because it is easily tractable by<br />

simple semi-empirical methods. It is the typical test reaction for a semiempirical<br />

quantum calculation methods such as ours, and furthermore for<br />

the numerous approaches <strong>of</strong> reaction description [110]. It involves the reaction<br />

between two linear π-systems <strong>of</strong> length 2 and 4, called dienophiles<br />

and dienes, and is thus called a [2+4]-cycloaddition. The product is again a<br />

dienophile and may react again in a Diels-Alder reaction, then termed repetitive.<br />

Indeed, the reaction is used for the synthesis <strong>of</strong> polymers [80]. The<br />

CRN in fig. 6.1 is obtained by repetitive Diels-Alder reactions <strong>of</strong> a simple<br />

initial mixture <strong>of</strong> dienes and dienophiles.<br />

The rewrite rule is a bimolecular variant <strong>of</strong> the one described in fig. 4.2<br />

(see appendix B). The simple constraints derived from FMO lead to a reaction<br />

respecting the Woodward-H<strong>of</strong>fmann rules [126]. Depending on which<br />

choice makes |∆E FMO | smaller, the HOMO <strong>of</strong> the diene or dienophile reacts<br />

with the LUMO <strong>of</strong> the complementary species. The orientation <strong>of</strong> the reactants<br />

to each other is determined by the FMO coefficients. <strong>Model</strong> reduction<br />

consisted in producing only one <strong>of</strong> regioisomers instead <strong>of</strong> both. A further<br />

reduction was introduced by an enthalpy threshold <strong>of</strong> 20 eV.<br />

49

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