Using
density functional theory, we examine a possible homolysis
initiation mechanism for the Phillips catalyst, starting from CrII sites exposed to ethylene. Spin-crossing in an abundant
quintet bis(ethylene) CrII site leads
to cycloaddition to form a chromacyclopentane site. One Cr–C
bond then homolyzes to generate a tethered n-butyl
radical: [Cr(CH2)3CH2
•]. If the radical attaches to a nearby inorganic Cr site, it yields
two alkylCrIII sites capable of Cossee–Arlman polymerization.
The overall computed barrier for this initiation process is 132 kJ/mol,
which is comparable to the 120 kJ/mol value that we estimated from
reported initiation times in industrial reactors. Poisson statistics
suggest that this mechanism could activate ∼35% of Cr sites
on a commercial catalyst with a loading of 0.4 Cr/nm2.
Pairwise Cr grafting, amplification by complementary initiation reactions,
or the creation of dangling bonds that form as the silica support
fractures, might explain the apparent increase in per-site activity
at lower Cr loadings.