The set of 1,3,4,6-tetraphenylhexa-1,5-dienes (
1) represents a perturbation of Cope's rearrangementby four radical-stabilizing phenyl groups all positioned to drive the transition region toward the homolytic-colligative end of the mechanistic spectrum. The appearance of (
Z)-isomers being suppressed thermodynamicallyby a steric interaction of +2.6 kcal mol
-1 per cis double bond, an equilibration that is stereochemically not ofany Cope type, emerges as the predominant reaction. It is an interconversion of
rac-(E,E)-1 and
meso-(E,E)-1(48:52; 77.3-115.3
C) with the following values of the enthalpy, entropy, and volume of activation:
H =30.7 ± 0.2 kcal mol
-1,
S = +2.1 ± 0.4 cal mol
-1 K
-1, and
V = +13.5 ± 0.1 cm
-3 mol
-1, respectively.Structures have been established by X-ray crystallographic analysis; a possible relationship between dihedralangle and bond lengths in the styrene portions is proposed. The entropy of activation is incompatible with achair or boat Cope rearrangement; the volume of activation is neither low enough for a pericyclic Cope("concerted") mechanism nor high enough for a homolytic-colligative mechanism involving full dissociationas the rate-determining step. Trapping and a crossover experiment give some but only partial support to theintermediacy of free radicals. At higher temperatures, however, electron spin resonance experiments demonstratean equilibrium with kinetically free (
E,
E)-1,3-diphenylallyl radicals. These observations are rationalized interms of geometric reorganization within the confines of a 'cage'. Resolution by chiral chromatography of
rac-(E,E)-1 allows recognition of a fast racemization (40-65
C), of which
H (21.3 ± 0.1 kcal mol
-1),
S (-13.2 ± 0.3 cal mol
-1 K
-1), and
V (-7.4 ± 0.4 cm
-3 mol
-1) are consistent with a pericyclic Coperearrangement. Enriched (
Z)-isomers undergo Cope rearrangements in accord with the known influence ofaxiality and the chair/boat alternative on the energy of the transition region.