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My PhD dissertation - Institut Fresnel

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55<br />

To convert atropisomer Ia into Ib, it is necessary to supply the required free enthalpy<br />

of activation ∆G ≠ (Ia-Ib). The magnitude of this free enthalpy determines the rate of the<br />

thermally induced isomerization and is evidently depending on the temperature of study. The<br />

rate constant kr of this process is related to ∆G ≠ (Ia-Ib) in accordance with the Eyring equation,<br />

where T is the absolute temperature, R is the universal gas constant, kb is the Boltzmann's<br />

constant, h is Planck's constant and κ is the transmission coefficient:<br />

or<br />

k<br />

r<br />

∆<br />

= κ ⋅ k<br />

b<br />

⋅T<br />

⋅ h<br />

−1<br />

⎛ − ∆<br />

exp ⎜<br />

⎝ RT<br />

≠<br />

G( Ia - Ib)<br />

⎞<br />

⎟<br />

⎠<br />

⎡<br />

⎛ T ⎞⎤<br />

⋅T<br />

⎢10.<br />

321+<br />

log<br />

⎜<br />

⎟<br />

⎟⎥<br />

⎢⎣<br />

⎝ kr<br />

⎠⎥⎦<br />

≠<br />

−3<br />

G (Ia - Ib) = 4.<br />

57 ⋅10<br />

(kcal·mol -1 )<br />

Whenever rotation is too fast to allow isolation of isomers on laboratory time scale<br />

(i.e. ∆G ≠ (Ia-Ib) < 22 kcal·mol -1 ), rapid racemization processes in chiral biphenyls can be<br />

detected by NMR spectroscopy provided that the investigated substrate bears a diastereotopic<br />

pair of NMR-active nuclei (e.g. A = B = -CH2R with A ≠ C and B ≠ D). Under this condition,<br />

two types of magnetically non-equivalent hydrogens do exist, resulting from the hampered<br />

rotation about the biphenyl single bond. The intramolecular rotation can thus be revealed by<br />

the temperature dependence of the magnetic environment for the diastereotopic probes.<br />

Hence, at low temperature, "slow" isomerization leads to two separate NMR signals for both<br />

diastereotopic hydrogens whereas at higher temperature, "fast" rotation gives only one signal<br />

with an average chemical shift.<br />

W. L. Meyer and R.B. Meyer<br />

[ ] 209 reported the first example of temperature-<br />

dependent 1 H-NMR spectrum for "methylene-bearing" biphenyls. For instance, 2,2'-<br />

bis(acetoxymethyl)biphenyl (46) exhibited an AB quartet signal for the methylene hydrogens<br />

at ambient temperature, whereas the pattern collapse into a broad singlet at Tc = 94 °C<br />

(Figure 7).

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