4. Organic Compounds: Cycloalkanes and their Stereochemistry Based on McMurry’s Organic Chemistry, 7th edition, Chapter 4 4.1 Cycloalkanes Cycloalkanes are alkanes that have carbon atoms that form a ring (called alicyclic compounds) Simple cycloalkanes are rings of CH2 units, (CH2)n, or CnH2n Structure is shown as a regular polygon with the number of vertices equal to the number of C’s (a projection of the actual structure) 2 Cycloalkanes 3 Complex Cycloalkanes Naturally occurring materials contain cycloalkane structures Examples: chrysanthemic acid (cyclopropane; from chrysanthemum pyrethrins), prostaglandins (cyclopentane), steroids (cyclohexanes and cyclopentane) 4 Complex Cycloalkanes 5 Properties of Cycloalkanes Melting points are affected by the shapes and the way that crystals pack so they do not change uniformly 6 4.1 Naming Cycloalkanes Count the number of carbon atoms in the ring and the number in the largest substituent chain. If the number of carbon atoms in the ring is equal to or greater than the number in the substituent, the compound is named as an alkyl-substituted cycloalkane For an alkyl- or halo-substituted cycloalkane, start at a point of attachment as C1 and number the substituents on the ring so that the second substituent has as low a number as possible. Number the substituents and write the name 7 1. Find the parent: or butylcyclopropane 8 Number the substituents & write the name: 9 Examples: 10 Problem 3.15: IUPAC names? 11 4.2 Cis-Trans Isomerism in Cycloalkanes Rotation about C-C bonds in cycloalkanes is limited by the ring structure Rings have two “faces” and substituents are labeled as to their relative facial positions There are two different 1,2-dimethylcyclopropane isomers, one with the two methyls on the same side (cis) of the ring and one with the methyls on opposite sides (trans) 12 Cis-Trans Isomerism in Cycloalkanes 13 Stereoisomers Compounds with atoms connected in the same order but which differ in threedimensional orientation, are stereoisomers The terms “cis” and “trans” should be used to specify stereoisomeric ring structures Recall that constitutional isomers have atoms connected in different order 14 Stereoisomers 15 Practice Prob. 4.4: Name? 16 Problem 4.18: IUPAC Name? 17 Problem 4.49: IUPAC names? 18 Problem 4.55: Four cis-trans stereoisomers of menthol? This is the natural one: 19 4.3 Stability of Cycloalkanes: The Baeyer Strain Theory Baeyer (1885): since (sp3) 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 20 Baeyer’s hypothesis: angle strain 21 Heats of Combustion 22 Stability of Cycloalkanes 23 The Nature of Ring Strain Rings larger than 3 atoms are not flat (planar). 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 24 Types of Strain 25 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 Angle Strain 26 Torsional Strain 27 Steric Strain 28 Strain Energies 29 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 30 4.4 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 31 Bent Bonds of Cyclopropane Structural analysis of cyclopropane shows that electron density of C-C bond is displaced outward from the internuclear axis 32 “Bent” bonds in cyclopropane: less than maximum orbital overlap 33 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 34 Cyclobutane 35 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 36 Cyclopentane 37 4.5 Conformations of Cyclohexane Substituted cyclohexanes occur widely in nature The cyclohexane ring is free of angle strain and torsional strain The conformation has alternating atoms roughly in a common plane, and tetrahedral angles between all carbons This is called a chair conformation 38 Chair Conformations 39 Cholesterol: three chair conformations 40 How to Draw Cyclohexane 41 4.6 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 42 Axial and Equatorial Bonds 43 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 44 Drawing the Axial and Equatorial Hydrogens 45 Axial and Equatorial Hydrogens 46 Conformational Mobility of Cyclohexane Chair conformations readily interconvert, resulting in the exchange of axial and equatorial positions by a ring-flip 47 Conformational Mobility 48 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 49 Bromocyclohexane 50 4.7 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 51 Methylcyclohexane 52 Energy and Equilibrium The relative amounts of the two conformers depend on their difference in energy DE = 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 53 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 54 1,3-Diaxial Interactions 55 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 56 Gauche Butane Interactions 57 Monosubstituted Cyclohexanes 58 4.8 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 1,2dimethylcyclohexane. cis and trans 59 4.12 Conformational Analysis of Disubstituted Cyclohexanes 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 60 Cis-1,2-dimethylcyclohexane 61 Cis-1,2-dimethylcyclohexane 62 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 63 Trans-1,2-Dimethylcyclohexane 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-1,2dimethylcyclohexane will exist almost exclusively (>99%) in the diequatorial conformation 64 Trans-1,2-Dimethylcyclohexane 65 Trans-1,2-Dimethylcyclohexane 66 Axial/Equatorial Relationships 67 t-Butyl Groups 68 t-Butyl Groups 69 t-Butyl Groups 70 Prob. 4.37: Most stable conformation of Menthol? 71 Solution: CH3 OH H3C CH HO CH3 H3C more stable CH H3C CH3 72 Problem 4.36: Galactose has an axial OH group at C4. Draw the chair: 73 Solution: OH CH2OH O HO OH HO Galactose 74 Boat Cyclohexane Cyclohexane flips through 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 C2, 3, 5, 6 produce torsional strain ~29 kJ/mol (7.0 kcal/mol) less stable than chair 75 76 Boat & Twist-boat conformations: 77 4.9 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 78 Decalin 79 4.9 Conformations of Polycyclic Molecules 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 80 Cis- and trans- decalins 81 Steroids 82 Cholesterol 83 Testosterone 84 Bicyclic Compounds 85 Camphor 86 Morphine: and Opium Alkaloid 87 (Demerol) 88