Temperature and
para-Substituent Effects on the Face Selectivity of 1,3-Dipolar Cycloaddition
Reactions of Benzonitrile Oxides with 5-Substituted Adamantanes-2-thiones,
N-Benzyladamantyl-2-imines, and 2-Methyleneadamantanes
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Scope
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Nitrile oxides are useful in syntheses of oxazoles (five membered rings
with an adjacent N and O) and related materials.
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To better exploit nitrile oxides in the manufacture of these compounds,
which are difficult to manufacture by any other route, the stereoselectivity
of nitrile oxides, the effect of temperature on this stereoselectivity,
and an understanding of the electronic demands of the reaction is necessary.
Research Goals
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Quantity effect of different p-substituents on face selectivity during
reaction using Hammett plot studies.
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Determine sensitivity of reaction rates to temperature and express differences
in activation parameters to explain face selectivity of reaction.
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Look at how HOMO and LUMO energies of the dipolarophiles vary with the
substituents.
Results
Effect of different p-substituents on face selectivity
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Hammett plots were used to describe the sensitivity of the reaction to
varying p-substituents on benzonitrile oxide.
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Hammett plots are graphs of log(kx/kH) against s,
which equals log(Kx/KH).
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In these values for the rate of the reaction versus the equilibrium constant
of each reaction, kx and Kx are the rate constant
and equilibrium constant for the reaction under investigation when one
substituent is varied from a hydrogen to electron-withdrawing and electron-releasing
substituents. The values kH and KH are the rate and
equilibrium constants for a reference reaction in which the substituent
whose character is varied over the course of several reactions is a hydrogen.
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The values of s come from a reference reaction,
in which the value of s is calculated for each
changing substituent (X). The values of s are
then set, and whenever the reaction under investigation is run, the substituent
used in that particular instance dictates the value of s
to use in the domain of the Hammett plot. The determined logarithm of the
rate of the observed reaction relative to that of the reference reaction
dictates the range of the Hammett plot.
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If one is lucky, the Hammett plot will come out to be a straight line (indicating
there is a linear relationship between the free energies of reaction).
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The slope of the line (r) reveals the severity
of the change in rate of reaction with respect to changing substituents.
If different substituents change the rate of one set of reactions drastically,
the slope will be larger than a set of reactions in which the electronics
of the molecules involved do not factor into the reaction as much. The
rise (log(kx/kH)) is larger in one reaction, while
the run (log(Kx/KH) is constant
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The researchers reacted eight nitrile oxides of varying electronic character
with two different adamantanes, 5-fluoro-2-methyleneadamantane and 5-fluoroadamantane-2-thione,
only to find r values of 0.0 and 0.12, respectively.
In both cases, yield data were clearly centered around certain values as
well.
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These low values of r indicate the reaction
is not too sensitive to the electronics of the functionalities involved,
and reinforce the notion that 1,3-dipolar cycloaddition reactions of nitrile
oxides proceed by a concerted mechanism.
Determine sensitivity of reaction to temperature effects
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The most cut-and-dry example of the effect temperature changes can have
on the face selectivity of reactions between nitrile oxides and certain
adamantanes is that at sufficiently high temperatures the reaction between
benzonitrile oxide and 5-chloro-adamantane-2-thione could be made to favor
one isomer less (yield E:yield Z = 58:42) than at 0oC (yield
E:yield Z = 65:35).
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Hence, it was demonstrated that higher temperatures had the ability to
alter the face selectivity of the reaction.
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At the same time, the researchers wanted to express some thermodynamic
parameters of activation which had never been calculated before.
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Plotting ln(E/Z) for a reaction in which the E product was favored (where
E/Z is the ratio between yield of E product and yield of Z product) against
1000/T (ln(Z/E) was done to find the Y values for a reaction in which the
Z product was favored), the slope was used to solve the following equation
and determine the different in enthalpy and different in entropy of activation.
ln(ksyn/kanti) = (DSsyn
- DSanti)/R + (DHanti
- DHsyn)/RT
which is of the form y = b + mx
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The domain of the function (x) is 1000/T; the slope of the function (m)
is the value of (DHanti - DHsyn)/R.
Ergo, divide by 1000 and multiply by the universal gas constant and the
differences in activation enthalpies is found (not the activation
enthalpies for attack by the nitrile oxide on either face of the adamantane).
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Take the actual value in the range of the function (y), subtract off the
contribution from the mx term, and you are left with b—which equals the
difference in activation entropies divided by the universal gas constant.
Multiply this value by R and, voila, the difference in entropies
of activation is found.
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The differences in enthalpy and entropy for one reaction (benzonitrile
oxide and 5-chloro-adamantane-2-thione) studied was found to be tiny. The
differences were more pronounced in the reaction between benzonitrile oxide
and 5-chloro-2-methyleneadamantane, but still fairly small. In both instances
attack on the syn face had lower activation enthalpies, and it was found
that face selectivity could be reversed at higher temperatures (as mentioned
above).
Look at how HOMO and LUMO energies of the dipolarophiles vary with the
substituents
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HOMO/LUMO interactions are explained using purely computational methods.
So, all these researchers had to do was plug a bunch of numbers into a
computer, let the computer do the calculations, see which energy levels
from the nitrile oxides and the adamantanes were closest to each other,
and, bingo!
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It was found the LUMO’s of the nitrile oxides and the HOMO’s of the adamantanes
overlapped during the cycloadditions.
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What the researchers found was that adamantan-2-ones were precluded from
cycloaddition reactions due to the large gap between their HOMO’s and the
nitrile oxides’ LUMO’s.
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Further, the gap increases (i.e., reaction less favorable) from imine to
thione, from thione to alkene, and from alkene to ketone (which did not
actually react at all).
Conclusions
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Small differences in r indicate the electronic
demands of this reaction are negligible--variations in electrostatic properties
from reaction to reaction had little impact on the speed and extent of
reaction.
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This same datum supports the theory of a concerted mechanism in 1,3-dipolar
cycloadditions involving nitrile oxides.
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Electrostatic effects are not of great importance in adamantane systems--they
appreciable enhance neither the reactivity or sluggishness of species relative
to their inherent reactivity.
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Reactions of this type appear dependent upon the LUMO of the dipole and
the HOMO of the dipolarophile, with the energy gap increasing from imine
to thione to alkene to ketone derivatives of adamantane.
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The bearing of temperature on the face selectivity of the reaction has
been determined, and it is detectable.
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For the first time, thermodynamic activation parameters of this type of
reaction have been determined.
Questions
1. What is the functionality of a nitrile oxide?
2. What are the resonance forms of this functionality?
3. Draw a generalized scheme for the cycloaddition reaction of
a nitrile oxide with X=Y, where X is more electronegative
than Y.
4. What is adamantane? (DON'T draw it--just describe it.)
5. What is a Hammett plot and how is it used? What is it
used for?
6. How is an Arrhenius plot (Y vs. 1000/T) used? It may
be helpful to describe useage of such a graph in terms of how
these plots were used in this experiment.
7. What do HOMO and LUMO stand for?