3. Cyclophanes. These consist of benzene rings held face-to-face (in some cases) by short bridges. Shown here are the various [2,2] cyclophanes; note that the ortho and meta forms have the possibility of existing in two different conformations. What are the relative energies of the five forms shown? How bent are the benzene rings?

[Tsuzuki, S.; Tanabe, K. J. Chem. Soc., Perkin Trans. 2 1990, 1687.]
27. Calculate the
strain energy and geometry of the various [n]- paracyclophanes (related
to the cyclophanes in Problem 3, but with only one benzene
ring).
[Tobe, Y.; Takahashi, T.; Ishikawa, T.; Yoshimura, M.; Suwa,
M.; Kobiro, K.; Kakiuchi, K.; Gleiter, R. J. Am. Chem. Soc. 1990,
112, 8889;
Tobe, T.; Takahashi, T.; Kobiro, K.; Kakiuchi, K. Chem. Lett. 1990,
1587;
see also the reference from Problem 3.]
34. Use molecular
mechanics to analyze the conformations of the (CH2)n
bridge in the (n)-metacyclophanes with n = 4 to n = 8. Discuss the strain,
geometry, etc. as a function of n.
[Jenneskens, L. W.; de Boer, H. J. R.; de Wolf, W. H..; Bickelhaupt, F. J. Am. Chem. Soc. 1990, 112, 8941 and references cited therein.]
44. Although most
of the interest in cyclophanes has been devoted to the para,para and meta,meta
types (see Problem 3), ortho,ortho-cyclophanes are also
intriguing molecules when they are constructed on rigid frameworks which
force the aromatic rings to be parallel (or nearly so) to one another.
Consider the molecules shown to the right in which two quinolines are held
in close proximity. Do calculations of geometry and energy for the cases
n = 1, 2, and 3. Compare your answers for the internuclear distances with
those found in Table II and in the discussion on p. 1495 in the cited article.
[Lim, J.-L.; Chirayil, S.; Thummel, R. P. J. Org. Chem.
1991, 56, 1492;
Taffarel, E.; Chirayil, S.; Thummel, R. P. J. Org. Chem. 1994,
59, 823.]
45. Another pair
of molecules which have approximately parallel benzene rings in close proximity
is shown to the right. Use MM calculations to determine the separation
between carbon atoms of the rings; determine the degree of planarity of
each ring. Compare your answers with the experimental values from the X-ray
crystal structures in the cited article.
[Grimme, W.; Kämmerling, H. T.; Lex, J.; Gleiter, R.; Heinze, J.; Dietrich, M. Angew. Chem., Int. Ed. Engl. 1991, 30, 205.]
51.
meta,meta-Cyclophane conformations A and B equilibrate at
room temperature, presumably via unstable conformation C. Use molecular
mechanics (a) to calculate the energies of these three conformations for
comparison with the experimental equilibrium values and (b) to determine
the various bond lengths and dihedral angles for comparison with the calculated
and experimental values in Table III of the cited article.
[Nishimura, J.; Horikoshi, Y.; Wada, Y.; Takahashi, H.; Sato, M. J. Am. Chem. Soc. 1991, 113, 3485.]
52.
Shown to the right are [2.2.2](1,3,5)-cyclophane and [2.2.2.2](1,2,3,5)-cyclophane.
Do MM calculations of each of these as well as on all of the other
two-carbon bridged structures: (1,2,3)-, (1,2,4)-, (1,2,3,4)-, (1,2,4,5)-,
(1,2,3,4,5)-, and (1,2,3,4,5,6)-cyclophane; the latter is known as "superphane."
Compare the computed angles and distances with those measured by X-ray
crystallography (see the cited article).
[Sekine, Y.; Boekelheide, V. J. Am. Chem. Soc. 1991,
103, 1777 and references cited therein;
also Gleiter, R.; Kratz, D. Acc. Chem. Res. 1993, 26,
311.]
53. Shown to the
right is [3.3](1,3)-cyclophane. There are at least five reasonable conformations
for this compound (see the cited article). Use molecular mechanics to calculate
the energy and geometry of each of these five conformations; assess which
factors are responsible for the energy differences among the conformations.
[Biali, S. E. J. Chem. Educ. 1990, 67, 1039.]
56. Tetramethyl para,para-cyclophane
1 is a chiral compound, capable of showing optical activity. Use
molecular mechanics to calculate the energies of the two lowest energy
conformations of chiral 1 and of the two lowest energy conformations
of its meso diastereomer 2; compare your energies and geometries
with those in the reference.
[Finocchiaro, P.; Mamo, A.; Pappalardo, S.; Weissensteiner, W.; Widhalm, M. J. Chem. Soc., Perkin Trans. 2 1991, 449.]
57. Compute the geometry
and degree of bending of the benzene rings in [2.2]-paracyclophane (1)
and its cyclobutano-fused derivatives 2 and 3. Compare your
results with the experimental X-ray crystal structures for 1 and
for a substituted version of 2 which are given in Table I of the
reference.
[Maekawa, Y.; Kato, S.; Hasegawa, M. J. Am. Chem. Soc. 1991, 113, 3867.]
58.
Various meta- and para-cyclophanes with adamantane spacers have been prepared.
Do MM calculations of the geometries and degree of benzene ring bending
for dithia compounds 1 and 2 and for hydrocarbon 3.
Compare your values with the experimental X- ray crystal structure values
given in the various figures and tables of the reference.
[Dohm, J.; Nieger, M.; Rissanen, K.; Vögtle, F. Chem. Ber. 1991, 124, 915.]
63. A series of orthoparacyclophanes
has recently been prepared. Do MM calculations on hydrocarbons 1
and 2a, and on dithia analog 2b. Compare your calculated
geometries with those suggested by the NMR data of 1 and 2a,
and the X-ray crystal structure for 2b.
[Asami, M.; Krieger, C.; Staab, H. A. Tetrahedron Lett. 1991, 33, 2117.]
119. Several 1,4-bridged
cyclophanes, including [6]-(1,4)-naphthalenophane (shown to the right),
have been the subject of experimental and theoretical inquiry. Calculate
the heat of formation, strain energy, bond distances, and deformation angles
of this structure, relative to those in the unstrained analog, 1,4-dimethylnaphthalene;
compare your results with those in Tables I and II of the cited reference.
Then do calculations on the carbocations formed by: (a) protonation at
C1; (b) rearrangement of that ion to the meta-bridged material;
and (c) alternative initial protonation at C2. Compare your
results (for the first two ions) with those in Table IV. Explain why
protonation does not occur at C2 and why the initial
ion by protonation at C1 does not rearrange.
[Tobe, Y.; Takemura, A.; Jimbro, M.; Takahashi, T.; Kobiro, K.; Kakiuchi, K. J. Am. Chem. Soc. 1992, 114, 3479.]
181. Shown to the
right is [2.2]-paracyclophane-1,9-diene in which not only are the benzene
rings distorted from planarity but there should be very poor pi-overlap
between the rings and the double bonds. Do calculations on this compound
and on its mono- and bisbenzoderivatives (at the 1 and 9 positions). Discuss
the structures, the strain, the extent of overlap, etc.
[Reiser, O.; König, B.; Meerholz, K.; Heinze, J.; Wellauer, T.; Gerson, F.; Frim, R.; Rabinovitz, M.; de Meijere, A. J. Am. Chem. Soc. 1993, 115, 3511.]
187. The MMX treatment
of the [2,2]-meta- cyclophanes was addressed in Problems 3,
51, and 52. The present problem probes
yet another aspect of their structure, namely how substitution at C5
and C13 perturbs the position of the syn/anti equilibrium. Do
calculations on the sets where R = H, CH3, and t-Bu;
comment on any change in the relative energies of the conformations. Compare
your structural and energy results with the experimental and computational
values reported in the reference. Do your results support the contention
that the difference between the conformations is principally the difference
between eclipsed and staggered conformations in the saturated bridges?
[Ito, D.; Nakasato, Y.; Fujise, Y.; Hioki, H.; Nagaku, M.; Fukazawa, Y. Tetrahedron Lett. 1993, 34, 3787.]
189. The structure
to the right, [3,3]-orthocyclophane, is not as strained as the various
meta and paracyclophanes. It has recently been synthesized, and its x-ray
crystal structure has been determined. This MMX problem consists of calculating
the energies of the various conformations (three anti and two syn) and
comparing them with those in the cited reference. Discuss why these conformations
differ in energy.
[Wang, Z.-H.; Usui, S.; Fukuzawa, Y. Bull. Chem. Soc. Jpn. 1993, 66, 1239.]
193. Structure 1
is a paracyclophane in which an adamantyl unit is connected to the bridges.
Compounds 2 and 3, similarly, have seven carbons bridging
the C1 and C4 positions of the benzene ring. Do calculations
on the energy and structure of these compounds; compare your results with
the energy estimates in the cited reference.
[Lemmerz, R.; Nieger, M.; Vögtle, F. J. Chem. Soc., Chem. Commun. 1993, 1168.]
197.
Shown to the right are [34](1,2,3,5)cyclophane and [34](1,2,4,5)cyclophane
in their preferred conformations (as determined in the cited reference).
Do MMX calculations on these known compounds and on [34](1,2,3,4)cyclophane
[not known and not shown] in whatever conformations you think are of reasonable
energy for it. Compare the relative energies of the isomeric (1,2,3,5),
(1,2,4,5), and (1,2,3,4) isomers and comment on what factors are responsible
for the differences.
[Shinmyozu, T.; Kusumoto, S.; Nomura, S.; Kawase, H.; Imazu, T. Chem. Ber. 1993, 126, 1815.]
220. Shown to the
right is a stylized picture of [2,2](meta,para)cyclophane. As in most cyclophanes,
the rings are bent out of planarity and are in more-or-less parallel planes.
For the parent compound (all R's = H), there are two conformations of equal
energy. Do MMX calculations on the parent; on the two different conformations
for the monomethyl derivative (R1 = Me); on the two different
conformations for the dimethyl derivative with R1 = R2
= Me; and on the two different conformations for the trimethyl derivative
(R1 = R2 = R3 = Me). Discuss the factors
that are responsible for the differences in conformational energy.
[Lai, Y.-H.; Yap, A. H.-T.; Novak, I. J. Org. Chem. 1994, 59, 3381.]
234. [2.2]-Paracyclophane
(R = H) has a skewed conformation, shown here, along the sp3-sp3
bonds (e.g., C2-C1). For the parent compound, the
two conformations are of equal energy. Do MMX computations on the dihedral
angles (C3-C2-C1-C14) and the
energies for the parent compound and for the two conformations of the 4-
methyl and of the 4-t-butyl derivatives. Compare your results with
those in the cited reference. Discuss those factors that lead to the unequal
energy of the conformations.
[Ernst, L. Liebigs Ann. Chem. 1995, 13.]
244. The three compounds
to the right, all based on a 1,2,4-double cyclophane framework and including
the beginnings of ladderane extensions, have been synthesized (as diester
derivatives). Do MMX calculations on these. Discuss their strain energy
and structural parameters; compare your results with the x-ray crystal
data reported in the article.
[Hopf, H.; Greiving, H.; Jones, P. G.; Bubenitschek, P. Angew. Chem., Int. Ed. Engl. 1995, 34, 685.]
257. In
Problem No. 197, calculations were done on various tetra-bridged
cyclophanes. The penta- and hexabridged compounds, A and B,
have now been made. The latter has been dubbed a "Molecular Pinwheel."
Do MMX calculations on the conformation of A shown here (the same
as in the article) and on other reasonable conformations; identify the
factors that lead to instability. Then do calculations on B and
compare your results with those obtained for A.
[Sakamoto, Y.; Miyoshi, N.; Shinmyozu, T. Angew. Chem., Int. Ed. Engl. 1996, 35, 549.]
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