A series o
f cyclobutanes substituted 1,2- by polyenes o
f increasin
g radical-stabilizin
g power hasbeen investi
gated to test the proposition that stabilization ener
gies obtained independently
from apposite, cis,trans
geometric isomerizations can be success
fully trans
ferred to another system, in this paper, cyclobutanes.The
first member o
f the series, 3-methylenecyclohexene (
1), is photodimerized to
anti- and
syn-dispiro[5.0.5.2]tetradeca-1,8-dienes (
anti-
2 and
syn-
2), which under
go stereomutation (stereochemical interconversion) andcycloreversion (
fra
gmentation) to
1 when heated in the ran
ge 72.1-118.2
ges/entities/de
g.
gi
f">C:
anti-
2 ges/entities/rarr.
gi
f">
syn-
2,
ges/
gi
fchars/Delta.
gi
f" BORDER=0 >
Hges/entities/thermod.gif"> = 30.3kcal mol
-1,
ges/
gi
fchars/Delta.
gi
f" BORDER=0 >
Sges/entities/thermod.gif"> = 0.2 cal mol
-1 K
-1;
anti-
2 ges/entities/rarr.
gi
f">
1,
ges/
gi
fchars/Delta.
gi
f" BORDER=0 >
Hges/entities/thermod.gif"> = 32.8 kcal mol
-1,
ges/
gi
fchars/Delta.
gi
f" BORDER=0 >
Sges/entities/thermod.gif"> = +8.0 cal mol
-1 K
-1.A
greement with an enthalpy o
f activation predicted by assumin
g full allylic stabilization in a hypotheticaldiradical intermediate is
good. An example o
f further activation by a radical-stabilizin
g group is mani
festedby the ~20 000-
fold acceleration in rate shown by the system 1-phenyl-3-methylenecyclohexene (
3) and
anti-and
syn-2,9-diphenyldispiro[5.0.5.2]tetradeca-1,8-dienes (
anti-
4 and
syn-
4), measured, however, only at 43.6
ges/entities/de
g.
gi
f">C. In both systems
2 and
4, volumes o
f activation
for stereochemical interconversion and cycloreversionhave been determined and
found to be essentially identical within experimental uncertainties,
ges/
gi
fchars/Delta.
gi
f" BORDER=0 >
Vges/entities/thermod.gif"> = +10.2± 1.0 and +12.6 ± 1.4 cm
3 mol
-1, respectively (wei
ghted means). These stron
gly positive values are consistentwith the rate-determinin
g step bein
g the
first bond-breakin
g, while the near identity o
f the volumes o
f activationar
gues a
gainst the indispensable second bond-breakin
g bein
g a determinin
g factor in
fra
gmentation. Theseresults are consistent with the theoretically based construct o
f Charles Doubleday
for the paradi
gm, cyclobutane,in which the ratio between two channels o
f exit
from a "
generalized common biradical" is not controlled byenthalpy
and entropy, as in the transition state model, but by
entropy alone.