1994
DOI: 10.1021/j100082a012
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The Barrier to Internal Rotation and Chemical Exchange in N-Acetylpyrrole. A Study on NMR Methods and Molecular Modeling

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Cited by 19 publications
(23 citation statements)
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“…The eigenvalues of this matrix are Λ+=1T212true(kf+kfKi(ωBI+ωBII)±(kf+kfK)2+2itrue(kfkfKtrue)(ωBIIωBI)(ωBIIωBI)2true) where the equilibrium constant K = k f / k r . As is well-known in chemical exchange, the positive root leads to a quickly decaying time-domain signal with vanishing intensity in fast-exchange, while the negative root leads to a line that continues to narrow 37. Taking this fast exchange limit with k f , k r >> ( ω BII – ω BI ), the real part of equation (7) gives an effective line width, r=1πT2+K2(ωBIIωBI)2π(1+K)3kf, while the imaginary part gives the resonance offset leading to the observed averaged chemical shift ω=ωBI(1+K)+KωBII(1+K). The connection with the free energy of activation is provided by Eyring's equation,37-39,42,43,45-47 with kf=KbThexp(ΔGRT) Here K b is Boltzmann's constant, h is Planck's const...…”
Section: Experimental Methodsmentioning
confidence: 79%
“…The eigenvalues of this matrix are Λ+=1T212true(kf+kfKi(ωBI+ωBII)±(kf+kfK)2+2itrue(kfkfKtrue)(ωBIIωBI)(ωBIIωBI)2true) where the equilibrium constant K = k f / k r . As is well-known in chemical exchange, the positive root leads to a quickly decaying time-domain signal with vanishing intensity in fast-exchange, while the negative root leads to a line that continues to narrow 37. Taking this fast exchange limit with k f , k r >> ( ω BII – ω BI ), the real part of equation (7) gives an effective line width, r=1πT2+K2(ωBIIωBI)2π(1+K)3kf, while the imaginary part gives the resonance offset leading to the observed averaged chemical shift ω=ωBI(1+K)+KωBII(1+K). The connection with the free energy of activation is provided by Eyring's equation,37-39,42,43,45-47 with kf=KbThexp(ΔGRT) Here K b is Boltzmann's constant, h is Planck's const...…”
Section: Experimental Methodsmentioning
confidence: 79%
“…The temperature dependence of an exchange process can be used to extract other thermodynamic quantities such as enthalpy and entropy. Given the small temperature range, however, it is important not to overinterpret the results . Using the van’t Hoff equation, enthalpic contributions (Δ H vH ) to the BI–BII equilibrium can be extrapolated from a graph of ln K eq versus 1/ T .…”
Section: Discussionmentioning
confidence: 99%
“…Given the small temperature range, however, it is important not to overinterpret the results. 23 Using the van't Hoff equation, enthalpic contributions (ΔH vH ) to the BI−BII equilibrium can be extrapolated from a graph of ln K eq versus 1/T. 77 This analysis includes the assumptions that the ΔH vH and ΔS vH values are relatively constant and that the scaling of the 31 P chemical shifts is linear over the temperature range used.…”
Section: ■ Discussionmentioning
confidence: 99%
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“…The standard deviation in the intercept was extrapolated to the y-axis including the contribution from the standard deviation in the slope. 51…”
Section: Nmr Spectroscopymentioning
confidence: 99%