6805in methanol to afford 1-phenyl-1-methoxycyclohexane (2), via the 1 -phenylcyclohexyl carbocation.lOJ1 Extrapolation of the double-reciprocal plot of the quantum yield of formation of 2 vs.[H2S04], after correction for 3Ph2C0 quenching by H2SO4 and for the small (2.2%) inefficiency of conversion of the carbocation to ether,19 affords = 0.36 f 0.01 ( 2 0 )~~ and thus a value of 44.7 f 5 kcal/mol for E,/. The sum of the amplitude factors, & + 4, + q53, equals unity, indicating all the photon energy is recovered as heat within experimental error. Results in cyclohexane are almost identical. However, the inability to measure in aprotic solvent prevents a computation of Et-, in cyclohexane.The values of E T and E, , are the first experimental measurements of the relaxed energy of a short-lived twisted alkene triplet21 and of the heat of geometric isomerization to the most strained cycloalkene known, respectively. The E T value of 56 f 3.4 kcal/mol is but slightly lower than the expected22 spectroscopic triplet energy of 60 kcal/mol. We believe that this corresponds to partial relaxation (Le., <90° rotation) of the tri~1et.I~ Therefore, the triplet surface is nearly flat, similar to the trans to perpendicular region for stilbene triplet.23The energy E,, of 44.7 kcal/mol is remarkably close to the prediction of molecular mechanics (MM) for trans-cyclohexene (E,/ = 42.4 k~a l / m o l ) .~~ Given the AH,-(c-1) = -4.0 f 1.6 kcal/m01~~ and the strain energy E,(c-1) = 1.2 kcal/mo1,26 then AHdt-1) = 41 f 5 kcal/mol and E,(t-1) = 46 f 5 kcal/mol. We note the structural prediction by M M of substantially pyramidalized vinyl carbons in these and related compound^.^,^^ The implications of this for the chemistry of trans-cyclohexenes and for dynamics on the ground-state surface will be discussed in a future report.In conclusion, we have demonstrated the applicability of time-resolved photoacoustic calorimetry to the study of alkene ground and triplet surfaces. Further studies should allow a wealth of thermochemical information on relaxed olefin triplets and strained ground-state isomers. (19) Had we chosen neat alkyl silane as the standard state, PS would have In (Cnat/Cl~) = AS,M -4.0 eu, where (20) (a) Meyers, R. T. Inorg. Chem. 1978, 17,952-958. (b) Martell, A. been even smaller (ASnmt = AS,M C,,, and CIM are concentrations). E.There is considerable uncertainty about the rate constant for a "diffusion-controlled" unimolecular reaction. For a bimolecular