Problem Set 3 - Chemistry at Caltech

Chemistry 143
Problem Set #3
Problem 1
The 20 MHz 13C NMR spectrum of cis-decalin is
shown at right. The five peaks found in the
spectrum at -20 °C have equal areas.
(a) Show how the chair inversion of cis-decalin
produces a coalescence of signals. Explain why the
peak at 37 ppm remains sharp throughout the range
of temperatures.
(b) Determine which peaks are coalescing with each
other and using Δν , calculate the barrier to inversion.
Due April 24, 2015
Problem 2 The 500 MHz 1H NMR spectrum of 1,4 dioxane is shows a singlet at 3.53 ppm.
When the spectrum is amplified (shown below), two multiplets become observable as shown
below.
a) What is the origin of these multiplets and multiplicities? Draw a structure of the species.
b) What information can you obtain from this spectrum?
Problem 3.
Presented below are temperature dependent 25 MHz proton noise-decoupled 13C NMR
spectra of 9-chloromethyltriptycene. The four downfield peaks, A, B, C and D belong to
carbons 15-20.
(a) Explain the molecular process
responsible for these variable
temperature spectra.
This will
necessitate an explanation of the
relative intensities of peaks A, B, C
and D.
(b) Which peak is undergoing
coalescence with peak A ?
(c) Give a rough estimate (within 5
kcal/mole) for the activation energy
of the process displayed in these
spectra.
Problem 4. Breen and Stephan have recently described the synthesis and characterization of
the zirconocene phosphide complex 3 (Scheme 1) (Organometallics, 1996, 15, 4223.) An Xray structure shows a pyramidal phosphorus atom bearing the bulky 2,4,6-tri-tert-butylphenyl
group (Figure 1). The 1H NMR spectra shown in Figure 2 were obtained at four temperatures
(cyclopentadienyl resonances and t-butyl groups only).
(a) Explain why three t-butyl resonances are found near 1.5 ppm at 233 K. Suggest a molecular
process which would cause coalescence of the t-butyl groups.
(b) Explain why two Cp resonances are found at 233K. Suggest a molecular process which
would cause coalescence of the CP groups.
(c) If the same molecular process were responsible for both (a) and (b) above, would the pair of
signals for the Cp protons coalesce at the same temperature as the pair of signals for the t-butyl
groups?
(d) The authors suggest that two separate dynamic processes are required to produce the
‡
variable temperature results found for compound 3. Calculate a ΔG value using first the Cp
resonances and then using the tBu resonances. Do you agree or disagree with the authors’
claim?
Ar
P
Cl
Cp2Zr
1
Me
Cp2Zr
Ar
H
Me
2
Figure 1. X-Ray Crystal Structure of 3.
P
Cp2Zr
H
NHPh
3
Figure 2. Variable Temperature 1H NMR (300
MHz) spectrum for 3.
Problem 5. Widenhofer, et al. have studied the dynamic NMR behavior of the cationic gold
complex shown below.
(a) Using the known three dimesional structure of allenes (non-planar), draw the expected
structure of the gold-allene complex (choose from the two coordination modes below) and
explain why the methyl groups on the allene are inequivalent.
(b) Describe the process responsible for the temperature-dependence of the spectra and using
the 1H (500 MHz) and 13C NMR (125 MHz) of the methyl resonances shown, calculate the
activation energy for the dynamic process involved.
CMe2
C
P
Au+
CH2
CH2
C
P
Au+
CMe2