4. Stereochemistry of
Alkanes and Cycloalkanes
CHEM 221 Organic Chemistry Dr. Wong Yau Hsiung
McMurry Organic Chemistry 6th edition Chapter 4
(c) 2003
2
The Shapes of Molecules
 The three-dimensional shapes of molecules result
from many forces
 A molecule may assume different shapes, called
conformations, that are in equilibrium at room
temperature (the conformational isomers are called
conformers, emphasis on the first syllable)
 The systematic study of the shapes molecules and
properties from these shapes is stereochemistry
 The field of stereochemistry is one of the central
parts of organic chemistry and includes many
important topics
McMurry Organic Chemistry 6th edition Chapter 4
(c) 2003
3
4.1 Conformations of Ethane
 Conformers interconvert
rapidly and a structure
is an average of
conformers
 Molecular models are
three dimensional
objects that enable us
to visualize conformers
 Representing three
dimensional conformers
in two dimensions is
done with standard
types of drawings
McMurry Organic Chemistry 6th edition Chapter 4
(c) 2003
4
Representing Conformations
 Sawhorse representations
show molecules at an angle,
showing a molecular model
 C-C bonds are at an
angle to the edge of the
page and all C-H bonds
are shown
 Newman projections show
how the C-C bond would
project end-on onto the
paper
 Bonds to front carbon are
lines going to the center
 Bonds to rear carbon are
lines going to the edge of
the circle
McMurry Organic Chemistry 6th edition Chapter 4
(c) 2003
5
Ethane’s Conformations
 There barrier to rotation between conformations is small (12
kJ/mol; 2.9 kcal/mol) The most stable conformation of ethane
has all six C–H bonds away from each other (staggered)
 The least stable conformation has all six C–H bonds as close as
possible (eclipsed) in a Newman projection – energy due to
torsional strain
McMurry Organic Chemistry 6th edition Chapter 4
(c) 2003
6
4.2 Conformations of Propane
 Propane (C3H8)
torsional barrier
around the carbon–
carbon bonds 14
kJ/mol
 Eclipsed conformer
of propane has two
ethane-type H–H
interactions and an
interaction between
C–H and C–C bond
McMurry Organic Chemistry 6th edition Chapter 4
(c) 2003
7
4.3 Conformations of Butane
 anti conformation has two methyl groups 180° away from each
other
 Rotation around the C2–C3 gives eclipsed conformation
 Staggered conformation with methyl groups 60° apart is gauche
conformation
McMurry Organic Chemistry 6th edition Chapter 4
(c) 2003
8
4.4 Stability of Cycloalkanes: The
Baeyer Strain Theory
 Baeyer (1885): since carbon prefers to have bond
angles of approximately 109°, ring sizes other than
five and six may be too strained to exist
 Rings from 3 to 30 C’s do exist but are strained due
to bond bending distortions and steric interactions
McMurry Organic Chemistry 6th edition Chapter 4
(c) 2003
9
4.5 The Nature of Ring Strain
 Rings larger than 3 atoms are not flat
 Cyclic molecules can assume nonplanar
conformations to minimize angle strain and
torsional strain by ring-puckering
 Larger rings have many more possible
conformations than smaller rings and are
more difficult to analyze
McMurry Organic Chemistry 6th edition Chapter 4
(c) 2003
10
Summary: Types of Strain
 Angle strain - expansion or compression of
bond angles away from most stable
 Torsional strain - eclipsing of bonds on
neighboring atoms
 Steric strain - repulsive interactions between
nonbonded atoms in close proximity
McMurry Organic Chemistry 6th edition Chapter 4
(c) 2003
11
4.6 Cyclopropane: An Orbital View
 3-membered ring must have planar structure
 Symmetrical with C–C–C bond angles of 60°
 Requires that sp3
based bonds are bent (and
weakened)
 All C-H bonds are eclipsed
McMurry Organic Chemistry 6th edition Chapter 4
(c) 2003
12
Bent Bonds of Cyclopropane
 Structural analysis of cyclopropane shows
that electron density of C-C bond is displaced
outward from internuclear axis
McMurry Organic Chemistry 6th edition Chapter 4
(c) 2003
13
4.7 Conformations of Cyclobutane and
Cyclopentane
 Cyclobutane has less angle strain than cyclopropane
but more torsional strain because of its larger number
of ring hydrogens
 Cyclobutane is slightly bent out of plane - one carbon
atom is about 25° above
 The bend increases angle strain but decreases
torsional strain
McMurry Organic Chemistry 6th edition Chapter 4
(c) 2003
14
Cyclopentane
 Planar cyclopentane would have no angle strain but
very high torsional strain
 Actual conformations of cyclopentane are nonplanar,
reducing torsional strain
 Four carbon atoms are in a plane
 The fifth carbon atom is above or below the plane –
looks like an envelope
McMurry Organic Chemistry 6th edition Chapter 4
(c) 2003
15
4.8 Conformations of Cyclohexane
 Substituted cyclohexanes occur widely in nature
 The cyclohexane ring is free of angle strain and
torsional strain
 The conformation is has alternating atoms in a
common plane and tetrahedral angles between all
carbons
 This is called a chair conformation
McMurry Organic Chemistry 6th edition Chapter 4
(c) 2003
16
How to Draw Cyclohexane
McMurry Organic Chemistry 6th edition Chapter 4
(c) 2003
17
4.9 Axial and Equatorial Bonds in
Cyclohexane
 The chair conformation
has two kinds of
positions for substituents
on the ring: axial
positions and equatorial
positions
 Chair cyclohexane has
six axial hydrogens
perpendicular to the ring
(parallel to the ring axis)
and six equatorial
hydrogens near the
plane of the ring
McMurry Organic Chemistry 6th edition Chapter 4
(c) 2003
18
Axial and Equatorial Positions
 Each carbon atom in cyclohexane has one
axial and one equatorial hydrogen
 Each face of the ring has three axial and
three equatorial hydrogens in an alternating
arrangement
McMurry Organic Chemistry 6th edition Chapter 4
(c) 2003
19
Drawing the Axial and Equatorial
Hydrogens
McMurry Organic Chemistry 6th edition Chapter 4
(c) 2003
20
4.10 Conformational Mobility of
Cyclohexane
 Chair conformations readily interconvert,
resulting in the exchange of axial and
equatorial positions by a ring-flip
McMurry Organic Chemistry 6th edition Chapter 4
(c) 2003
21
Bromocyclohexane
 When bromocyclohexane ring-flips the bromine’s
position goes from equatorial to axial and so on
 At room temperature the ring-flip is very fast and the
structure is seen as the weighted average
McMurry Organic Chemistry 6th edition Chapter 4
(c) 2003
22
4.11 Conformations of
Monosubstituted Cyclohexanes
 The two conformers of a monosubstituted
cyclohexane are not equal in energy
 The equatorial conformer of methyl cyclohexane is
more stable than the axial by 7.6 kJ/mol
McMurry Organic Chemistry 6th edition Chapter 4
(c) 2003
23
Energy and Equilibrium
 The relative
amounts of the two
conformers depend
on their difference
in energy ∆E = −RT
ln K
 R is the gas
constant [8.315 J/
(K•mol)], T is the
Kelvin temperature,
and K is the
equilibrium
constant between
isomers
McMurry Organic Chemistry 6th edition Chapter 4
(c) 2003
24
1,3-Diaxial Interactions
 Difference between axial and equatorial conformers
is due to steric strain caused by 1,3-diaxial
interactions
 Hydrogen atoms of the axial methyl group on C1 are
too close to the axial hydrogens three carbons away
on C3 and C5, resulting in 7.6 kJ/mol of steric strain
McMurry Organic Chemistry 6th edition Chapter 4
(c) 2003
25
Relationship to Gauche Butane
Interactions
 Gauche butane is less stable
than anti butane by 3.8
kJ/mol because of steric
interference between
hydrogen atoms on the two
methyl groups
 The four-carbon fragment of
axial methylcyclohexane and
gauche butane have the
same steric interaction
 In general, equatorial
positions give more stable
isomer
McMurry Organic Chemistry 6th edition Chapter 4
(c) 2003
26
4.12 Conformational Analysis of
Disubstituted Cyclohexanes
 In disubstituted cyclohexanes
the steric effects of both
substituents must be taken
into account in both
conformations
 There are two isomers of 1,2-
dimethylcyclohexane. cis and
trans
 In the cis isomer, both methyl
groups same face of the ring,
and compound can exist in
two chair conformations
 Consider the sum of all
interactions
 In cis-1,2, both conformations
are equal in energy
McMurry Organic Chemistry 6th edition Chapter 4
(c) 2003
27
Trans-1,2-Dimethylcyclohexane
 Methyl groups are on opposite faces
of the ring
 One trans conformation has both
methyl groups equatorial and only a
gauche butane interaction between
methyls (3.8 kJ/mol) and no 1,3-
diaxial interactions
 The ring-flipped conformation has
both methyl groups axial with four
1,3-diaxial interactions
 Steric strain of 4 × 3.8 kJ/mol = 15.2
kJ/mol makes the diaxial
conformation 11.4 kJ/mol less
favorable than the diequatorial
conformation
 trans-1,2-dimethylcyclohexane will
exist almost exclusively (>99%) in the
diequatorial conformation
McMurry Organic Chemistry 6th edition Chapter 4
(c) 2003
28
4.13 Boat Cyclohexane
 Cyclohexane can also be in
a boat conformation
 Less stable than chair
cyclohexane due to steric
and torsional strain
 C-2, 3, 5, 6 are in a plane
 H on C-1 and C-4 approach
each other closely enough
to produce considerable
steric strain
 Four eclipsed H-pairs on C-
2, 3, 5, 6 produce torsional
strain
 ~29 kJ/mol (7.0 kcal/mol)
less stable than chair
McMurry Organic Chemistry 6th edition Chapter 4
(c) 2003
29
4.14 Conformations of Polycyclic
Molecules
 Decalin consists of two cyclohexane rings joined to share two carbon
atoms (the bridgehead carbons, C1 and C6) and a common bond
 Two isomeric forms of decalin: trans fused or cis fused
 In cis-decalin hydrogen atoms at the bridgehead carbons are on the
same face of the rings
 In trans-decalin, the bridgehead hydrogens are on opposite faces
 Both compounds can be represented using chair cyclohexane
conformations
 Flips and rotations do not interconvert cis and trans

Chapter 04 stereochemistry of alkanes and cycloalkanes

  • 1.
    4. Stereochemistry of Alkanesand Cycloalkanes CHEM 221 Organic Chemistry Dr. Wong Yau Hsiung
  • 2.
    McMurry Organic Chemistry6th edition Chapter 4 (c) 2003 2 The Shapes of Molecules  The three-dimensional shapes of molecules result from many forces  A molecule may assume different shapes, called conformations, that are in equilibrium at room temperature (the conformational isomers are called conformers, emphasis on the first syllable)  The systematic study of the shapes molecules and properties from these shapes is stereochemistry  The field of stereochemistry is one of the central parts of organic chemistry and includes many important topics
  • 3.
    McMurry Organic Chemistry6th edition Chapter 4 (c) 2003 3 4.1 Conformations of Ethane  Conformers interconvert rapidly and a structure is an average of conformers  Molecular models are three dimensional objects that enable us to visualize conformers  Representing three dimensional conformers in two dimensions is done with standard types of drawings
  • 4.
    McMurry Organic Chemistry6th edition Chapter 4 (c) 2003 4 Representing Conformations  Sawhorse representations show molecules at an angle, showing a molecular model  C-C bonds are at an angle to the edge of the page and all C-H bonds are shown  Newman projections show how the C-C bond would project end-on onto the paper  Bonds to front carbon are lines going to the center  Bonds to rear carbon are lines going to the edge of the circle
  • 5.
    McMurry Organic Chemistry6th edition Chapter 4 (c) 2003 5 Ethane’s Conformations  There barrier to rotation between conformations is small (12 kJ/mol; 2.9 kcal/mol) The most stable conformation of ethane has all six C–H bonds away from each other (staggered)  The least stable conformation has all six C–H bonds as close as possible (eclipsed) in a Newman projection – energy due to torsional strain
  • 6.
    McMurry Organic Chemistry6th edition Chapter 4 (c) 2003 6 4.2 Conformations of Propane  Propane (C3H8) torsional barrier around the carbon– carbon bonds 14 kJ/mol  Eclipsed conformer of propane has two ethane-type H–H interactions and an interaction between C–H and C–C bond
  • 7.
    McMurry Organic Chemistry6th edition Chapter 4 (c) 2003 7 4.3 Conformations of Butane  anti conformation has two methyl groups 180° away from each other  Rotation around the C2–C3 gives eclipsed conformation  Staggered conformation with methyl groups 60° apart is gauche conformation
  • 8.
    McMurry Organic Chemistry6th edition Chapter 4 (c) 2003 8 4.4 Stability of Cycloalkanes: The Baeyer Strain Theory  Baeyer (1885): since carbon prefers to have bond angles of approximately 109°, ring sizes other than five and six may be too strained to exist  Rings from 3 to 30 C’s do exist but are strained due to bond bending distortions and steric interactions
  • 9.
    McMurry Organic Chemistry6th edition Chapter 4 (c) 2003 9 4.5 The Nature of Ring Strain  Rings larger than 3 atoms are not flat  Cyclic molecules can assume nonplanar conformations to minimize angle strain and torsional strain by ring-puckering  Larger rings have many more possible conformations than smaller rings and are more difficult to analyze
  • 10.
    McMurry Organic Chemistry6th edition Chapter 4 (c) 2003 10 Summary: Types of Strain  Angle strain - expansion or compression of bond angles away from most stable  Torsional strain - eclipsing of bonds on neighboring atoms  Steric strain - repulsive interactions between nonbonded atoms in close proximity
  • 11.
    McMurry Organic Chemistry6th edition Chapter 4 (c) 2003 11 4.6 Cyclopropane: An Orbital View  3-membered ring must have planar structure  Symmetrical with C–C–C bond angles of 60°  Requires that sp3 based bonds are bent (and weakened)  All C-H bonds are eclipsed
  • 12.
    McMurry Organic Chemistry6th edition Chapter 4 (c) 2003 12 Bent Bonds of Cyclopropane  Structural analysis of cyclopropane shows that electron density of C-C bond is displaced outward from internuclear axis
  • 13.
    McMurry Organic Chemistry6th edition Chapter 4 (c) 2003 13 4.7 Conformations of Cyclobutane and Cyclopentane  Cyclobutane has less angle strain than cyclopropane but more torsional strain because of its larger number of ring hydrogens  Cyclobutane is slightly bent out of plane - one carbon atom is about 25° above  The bend increases angle strain but decreases torsional strain
  • 14.
    McMurry Organic Chemistry6th edition Chapter 4 (c) 2003 14 Cyclopentane  Planar cyclopentane would have no angle strain but very high torsional strain  Actual conformations of cyclopentane are nonplanar, reducing torsional strain  Four carbon atoms are in a plane  The fifth carbon atom is above or below the plane – looks like an envelope
  • 15.
    McMurry Organic Chemistry6th edition Chapter 4 (c) 2003 15 4.8 Conformations of Cyclohexane  Substituted cyclohexanes occur widely in nature  The cyclohexane ring is free of angle strain and torsional strain  The conformation is has alternating atoms in a common plane and tetrahedral angles between all carbons  This is called a chair conformation
  • 16.
    McMurry Organic Chemistry6th edition Chapter 4 (c) 2003 16 How to Draw Cyclohexane
  • 17.
    McMurry Organic Chemistry6th edition Chapter 4 (c) 2003 17 4.9 Axial and Equatorial Bonds in Cyclohexane  The chair conformation has two kinds of positions for substituents on the ring: axial positions and equatorial positions  Chair cyclohexane has six axial hydrogens perpendicular to the ring (parallel to the ring axis) and six equatorial hydrogens near the plane of the ring
  • 18.
    McMurry Organic Chemistry6th edition Chapter 4 (c) 2003 18 Axial and Equatorial Positions  Each carbon atom in cyclohexane has one axial and one equatorial hydrogen  Each face of the ring has three axial and three equatorial hydrogens in an alternating arrangement
  • 19.
    McMurry Organic Chemistry6th edition Chapter 4 (c) 2003 19 Drawing the Axial and Equatorial Hydrogens
  • 20.
    McMurry Organic Chemistry6th edition Chapter 4 (c) 2003 20 4.10 Conformational Mobility of Cyclohexane  Chair conformations readily interconvert, resulting in the exchange of axial and equatorial positions by a ring-flip
  • 21.
    McMurry Organic Chemistry6th edition Chapter 4 (c) 2003 21 Bromocyclohexane  When bromocyclohexane ring-flips the bromine’s position goes from equatorial to axial and so on  At room temperature the ring-flip is very fast and the structure is seen as the weighted average
  • 22.
    McMurry Organic Chemistry6th edition Chapter 4 (c) 2003 22 4.11 Conformations of Monosubstituted Cyclohexanes  The two conformers of a monosubstituted cyclohexane are not equal in energy  The equatorial conformer of methyl cyclohexane is more stable than the axial by 7.6 kJ/mol
  • 23.
    McMurry Organic Chemistry6th edition Chapter 4 (c) 2003 23 Energy and Equilibrium  The relative amounts of the two conformers depend on their difference in energy ∆E = −RT ln K  R is the gas constant [8.315 J/ (K•mol)], T is the Kelvin temperature, and K is the equilibrium constant between isomers
  • 24.
    McMurry Organic Chemistry6th edition Chapter 4 (c) 2003 24 1,3-Diaxial Interactions  Difference between axial and equatorial conformers is due to steric strain caused by 1,3-diaxial interactions  Hydrogen atoms of the axial methyl group on C1 are too close to the axial hydrogens three carbons away on C3 and C5, resulting in 7.6 kJ/mol of steric strain
  • 25.
    McMurry Organic Chemistry6th edition Chapter 4 (c) 2003 25 Relationship to Gauche Butane Interactions  Gauche butane is less stable than anti butane by 3.8 kJ/mol because of steric interference between hydrogen atoms on the two methyl groups  The four-carbon fragment of axial methylcyclohexane and gauche butane have the same steric interaction  In general, equatorial positions give more stable isomer
  • 26.
    McMurry Organic Chemistry6th edition Chapter 4 (c) 2003 26 4.12 Conformational Analysis of Disubstituted Cyclohexanes  In disubstituted cyclohexanes the steric effects of both substituents must be taken into account in both conformations  There are two isomers of 1,2- dimethylcyclohexane. cis and trans  In the cis isomer, both methyl groups same face of the ring, and compound can exist in two chair conformations  Consider the sum of all interactions  In cis-1,2, both conformations are equal in energy
  • 27.
    McMurry Organic Chemistry6th edition Chapter 4 (c) 2003 27 Trans-1,2-Dimethylcyclohexane  Methyl groups are on opposite faces of the ring  One trans conformation has both methyl groups equatorial and only a gauche butane interaction between methyls (3.8 kJ/mol) and no 1,3- diaxial interactions  The ring-flipped conformation has both methyl groups axial with four 1,3-diaxial interactions  Steric strain of 4 × 3.8 kJ/mol = 15.2 kJ/mol makes the diaxial conformation 11.4 kJ/mol less favorable than the diequatorial conformation  trans-1,2-dimethylcyclohexane will exist almost exclusively (>99%) in the diequatorial conformation
  • 28.
    McMurry Organic Chemistry6th edition Chapter 4 (c) 2003 28 4.13 Boat Cyclohexane  Cyclohexane can also be in a boat conformation  Less stable than chair cyclohexane due to steric and torsional strain  C-2, 3, 5, 6 are in a plane  H on C-1 and C-4 approach each other closely enough to produce considerable steric strain  Four eclipsed H-pairs on C- 2, 3, 5, 6 produce torsional strain  ~29 kJ/mol (7.0 kcal/mol) less stable than chair
  • 29.
    McMurry Organic Chemistry6th edition Chapter 4 (c) 2003 29 4.14 Conformations of Polycyclic Molecules  Decalin consists of two cyclohexane rings joined to share two carbon atoms (the bridgehead carbons, C1 and C6) and a common bond  Two isomeric forms of decalin: trans fused or cis fused  In cis-decalin hydrogen atoms at the bridgehead carbons are on the same face of the rings  In trans-decalin, the bridgehead hydrogens are on opposite faces  Both compounds can be represented using chair cyclohexane conformations  Flips and rotations do not interconvert cis and trans