JOURNAL
OF MOLECULAR
SPECTROSCOPY
61,479-480
(1976)
Concerning The Long-Range Proton-Proton Constants and the Internal Rotation
Spin-Spin Coupling Barrier in Styrene
A thermodynamic value for the internal rotational barrier in styrene is 2.2 kcal/mole (I), while a far-infrared study implied an upper limit of 0.5 kcal/mole (2). A Raman investigation of a torsional overtone in the gas phase yields a predominantly twofold barrier of 1.78f 0.02 kcal/mole (3), the planar form being stable, in agreement with photoelectron data (4). We have shown (5) that twofold barriers between 0.2 and ‘2 kcal/mole can be deduced for benzene derivatives in solution from the magnitudes of long-range nuclear spin-spin coupling constants, J, between nuclei in the side chain and ring protons situated para to the suhstituent. In 1, the rou~>lin~: over six bonds may be written as 6J = Jgo sin%9 for various X and
if 1
8 = 0’ when the X-H bond lies in the plane of the ring. The average value of sin% is determined h! the barrier and can be matched to a calculated value obtained from a hindered rotor treatment (5). In 3-bromostyrene (6), OJ is -0.25 f 0.04 Hz at ambient temperatures. The coupling is insensitive to intrinsic (nonsteric) substituent effects, as witnessed by its value of -0.24 Hz in 2-vinylpyridine (7). In 3-vinyl-6-methylpyridine 7JCH3,CH= h as a magnitude of 0.25 f 0.03 Hz, confirming the c--?r mechanism for 6J and its sin% dependence (7). INDO-MO-FPT calculations (6) of 6J yield -0.24 Hz for 0 = O”, consistent with delocalization through the extended conjugated ?r system. However, such calculations (8) also predict -0.29 Hz for planar benzaldehyde in which the internal barrier is near 5 kcal/mole (Y, IO). Such a barrier implies a very small 6J according to a hindered rotor treatment and the experimental value is indeed unobservably small (II), indicating that the calculations overestimate “J sub stantially in benzaldehyde and, by analogy, in styrene when 0 = 0”. An alternative explanation of 6J in styrene assumes that 6J = 0 at 0 = O’, that the barrier is small, and therefore that (sir?@ is nonzero at room temperature. A value of 6J at e = 90’ is given by our INDO calculations using Pitzer’s geometry (1) as - 1.00 Hz, while a standard geometry (6) yields - 1.05 Hz. For toluene, similar calculations (12) agree exactly with experiment and, for toluene and styrene, the non-sin’% component of the calculated 9r vanishes at 0 = 90’. Then (sin*@ is 0.24 & 0.04 and a reduced moment of inertia of 0.1997 X 1O-3s g cm2 (1) yields 1.6 f 0.3 kcal/mole as the internal barrier in solution. The fitting procedure assumes a temperature of 300 K. The result agrees with the gas-phase Raman deduction and with an ab initio MO value of 1.9 kcal/mole (13). Because the dipole moment of styrene is negligible and because the r-electron distribution is uniform (IS), a large solvent influence on the internal barrier is unlikely. ACKNOWLEDGMENT We thank
the National
Research
Council
of Canada 470
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480
NOTES REFERENCES
1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13.
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Department of Chemistry University of Manitoba Winnipeg, Manitoba Canada, R3T 2NZ Received March 12, 1976 1 Postdoctoral Fellow, 1974-76.