
5.11 Additional Problems 221
PROBLEM 5.36
Draw the two possible chair forms of cis- and
trans-1,4-dimethylcyclohexane. Are the two forms identical,
enantiomeric, or diastereomeric? In each case, indicate which
chair form will be more stable and explain why. Is either of
these molecules chiral?
PROBLEM 5.37 Draw the two possible chair forms of cis- and
trans-1-isopropyl-4-methylcyclohexane. Are the two forms
identical, enantiomeric, or diastereomeric? In each case, indicate
which chair form will be more stable and explain why. Is either
of these molecules chiral?
PROBLEM 5.38 Draw the two possible chair forms of cis- and
trans-1,3-dimethylcyclohexane. Are the two forms identical,
enantiomeric, or diastereomeric? In each case, indicate which
chair form will be more stable and explain why. Is either of
these molecules chiral?
PROBLEM 5.39 Draw the possible chair forms of cis- and
trans-1-isopropyl-3-methylcyclohexane. Are the two forms
identical, enantiomeric, or diastereomeric? In each case, indicate
which chair form will be more stable and explain why. Is either
of these molecules chiral?
PROBLEM 5.40 Draw the double Newman projection as
shown in Figure 5.12 for the following compounds:
(a) 1,1-dimethylcyclohexane looking down the
and bonds.
(b) cis-1,2-dimethylcyclohexane looking down the
and bonds.
(c) the more stable conformation of trans-1,2-dimethylcyclo-
hexane looking down the and
bonds.
(d) trans-1,3-dimethylcyclohexane looking down the
and bonds.
PROBLEM 5.41 In Section 5.6b (p. 205), you saw that for pur-
poses of stereochemical analysis you could treat the decidedly
nonplanar cis- and trans-1,2-dimethylcyclohexanes as if they
were planar. The planar forms represent the average positions of
ring atoms in the rapid chair–chair interconversions. Use planar
representations of the following cyclohexanes to determine
which molecules are chiral.
(a) cis-1,3-dimethylcyclohexane
(b) trans-1,3-dimethylcyclohexane
(c) cis-1-isopropyl-3-methylcyclohexane
(d) trans-1-isopropyl-3-methylcyclohexane
(e) cis-1,4-dimethylcyclohexane
(f) trans-1,4-dimethylcyclohexane
(g) cis-1-isopropyl-4-methylcyclohexane
(h) trans-1-isopropyl-4-methylcyclohexane
PROBLEM 5.42 Draw the planar structure for each of the fol-
lowing compounds. Next, draw the most stable conformation
for each in three dimensions.
(a) trans-1,2-dibromocyclohexane
C(5)
O
C(4)C(1)
O
C(2)
C(5)
O
C(4)C(1)
O
C(2)
C(5)
O
C(4)
C(1)
O
C(2)
C(4)
O
C(5)
C(2)
O
C(1)
(b) cis-1,3-dichlorocyclohexane
(c) trans-1-chloro-4-fluorocyclohexane
PROBLEM 5.43 Which of the molecules in Problem 5.42 are
chiral and which are achiral?
PROBLEM 5.44 Draw a chair conformation of cis-1-bromo-4-
fluorocyclohexane. Draw the ring-flipped structure. Which
structure do you expect to be favored? Why?
PROBLEM 5.45 Draw a chair conformation of cis-1-bromo-3-
chlorocyclohexane. Draw the ring-flipped structure. Which is
favored? Why? Is the molecule chiral?
PROBLEM 5.46 Use the data in Table 5.3 (p. 202) to calculate
the energy difference between the possible isomers of cis- and
trans-1,4-dimethylcyclohexane.
PROBLEM 5.47 Use the data in Table 5.3 (p. 202) to calculate
the energy difference between the possible isomers of cis- and
trans-1-isopropyl-4-methylcyclohexane.
PROBLEM 5.48 Cholestanol (shown below) is a natural prod-
uct found in gallstones and eggs. How many stereogenic atoms
are there in this molecule? Draw the compound with the rings
in their most stable conformation. Hint: The molecule is rela-
tively flat when viewed in three dimensions.
Cholestanol
CH
3
CH
3
H
3
C
H
3
C
H
H
H
CH
3
H
HO
H
PROBLEM 5.49 How many signals will appear in the
13
C
NMR spectrum of 1,1-dimethylcyclohexane?
(a) At low temperature.
(b) At high temperature.
Hint: Start by figuring out what effect the increase in tempera-
ture will have.
PROBLEM 5.50 How many signals will appear for cis-1,3-
dimethylcyclohexane in its
13
C NMR spectrum? How many
signals will appear for trans-1,3-dimethylcyclohexane in its
13
C
NMR spectrum?
(a) At low temperature.
(b) At high temperature.
PROBLEM 5.51 How many signals will appear in the
13
C
NMR spectrum of adamantane (p. 218)?