Rings and Strain: Angle Strain • The sp3 orbitals about a carbon atom have a tetrahedral geometry with idealized interorbital angles of 109.5°. • Constraining carbon atoms in a ring can lead to a forced internuclear bond angle. Section 5.2 1 Rings and Strain: Angle Strain (cont.) • When the internuclear angle is smaller than the interorbital angle, overlap is poor and bonds are weaker: Section 5.2 2 Rings and Strain: Torsional Strain • The constrained ring also prevents bond rotation, so eclipsing interactions be locked in place: Section 5.2 3 Rings and Strain: Torsional Strain (cont.) • Rings of >3 carbon atoms are more flexible; they adopt conformations that minimize torsional strain. • An example is “puckering” of cyclobutane: Section 5.2 4 Chair Cyclohexane • When the ring size reaches six carbons, there is enough flexibility to attain a conformation—chair cyclohexane— in which all eclipsing interactions are eliminated. Section 5.2 5 Chair Cyclohexane (cont.) • The angle and torsional strain in chair cyclohexane are minimal. There are three pairs of parallel C-C bonds: Section 5.2 6 Chair Cyclohexane (cont.) • Groups attached to chair cyclohexane may be positioned in one of two distinct type of sites: axial or equatorial. Section 5.2 7 Chair Cyclohexane (cont.) • Each ring carbon has one equatorial bond and one axial bond. One group points up and one down on each C, alternating around the ring: Section 5.2 8 Chair Cyclohexane: Ring Flip • There are two chair conformations of cyclohexane. Going from one chair conformation to the other causes axial and equatorial positions to interconvert: Section 5.2 9 Chair Cyclohexane: Ring Flip (cont.) • This ring flip leads to equatorial substituents becoming axial and vice versa. This will be an increasingly important concept as we learn about substituted cyclohexanes. Section 5.2 10 Monosubstituted Cyclohexanes (cont.) • The one with methyl equatorial is more stable by 1.74 kcal/mol because an axial methyl has two gauche interactions with the ring (one on each side of the methyl): Section 5.5 11 Monosubstituted Cyclohexanes (cont.) Section 5.5 12 Monosubstituted Cyclohexanes (cont.) • The bigger the substituent, the more favored is the chair form with the substituent in the equatorial position: Section 5.5 13 1,2-Disubstituted Cyclohexane (cont.) • Trans-1,2-dimethylcyclohexane has two possible conformations: Section 5.6 14 1,2-Disubstituted Cyclohexane (cont.) • The diequatorial isomer is the more stable: Section 5.6 15 1,2-Disubstituted Cyclohexane (cont.) • If the substituents are different, four stereoisomers result: Section 5.6 16 1,2-Disubstituted Cyclohexane (cont.) • Concerning stability, larger groups produce more steric strain when they occupy axial positions. The more stable conformation of cis-1-isopropyl2-methylcyclohexane has an equatorial isopropyl group: Section 5.6 17 Bicyclic Compounds • A compound can have more than one ring. We will consider three classes of bicyclic compounds in which one or more carbon is shared between rings: Section 5.7 18 Bicyclic Compounds (cont.) • The three-dimensional shape of spirocyclic compounds is not adequately reflected by the 2D drawing: Section 5.7 19 Bicyclic Compounds (cont.) • Bicyclics sharing two or more carbons are more prevalent than spiro compounds. The fusion positions or bridgeheads are highlighted: Section 5.7 20 Bicyclic Compounds (cont.) • The second ring may fuse onto the first at two positions, either cis- or trans- to one another: Section 5.7 21 Bicyclic Compounds (cont.) • Consider cis- and trans-decalin: Section 5.7 22 Bicyclic Compounds (cont.) • When fusing the second ring onto cyclohexane, it is important to recall that axial/equatorial sites are different: Trans-diaxial fusion impossible! Trans-diequatorial fusion possible Section 5.7 23 Adamantane • Adamantane is a polycyclic compound that can be thought of as an expanded cyclohexane: Section 5.9 24 Adamantane (cont.) • The adamantane framework is composed entirely of fused chair cyclohexanes, and is therefore quite a stable unit: Section 5.9 25 Adamantane (cont.) • The stability of this building block is clear considering that diamonds are an infinite network of adamantane units! Section 5.9 26