Trans-fused cyclohexane rings exhibit greater stability compared to cis-fused cyclohexane rings due to differences in steric interactions and the axial/equatorial positioning of substituents on the rings.
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Steric Hindrance: In cis-fused cyclohexane systems, both substituents on the fused rings end up on the same side of the ring system. When these substituents are large or bulky, they experience significant steric repulsion, which destabilizes the structure. In contrast, in trans-fused cyclohexane rings, the substituents are positioned on opposite sides of the ring structure, reducing steric hindrance and allowing them to adopt more favorable spatial arrangements.
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Conformational Analysis: Cyclohexane rings can adopt different conformations (chair forms). In a trans-fused system, when one of the rings adopts a chair conformation, the other ring can also adopt a chair conformation without placing substituents in the axial position where they would experience significant 1,3-diaxial interactions (steric interactions between axial substituents). On the other hand, cis-fused rings often lead to more substituents being forced into axial positions, increasing steric strain and destabilizing the structure.
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Axial vs. Equatorial Positions: In the case of trans-fused systems, when considering two rings, it's more favorable to place substituents in equatorial positions, where they are further away from each other and do not experience the destabilizing effects of axial interactions. For cis-fused systems, the arrangement often forces one or both substituents to adopt less favorable axial positions, resulting in increased steric strain.
Overall, the combination of reduced steric hindrance and the ability to minimize unfavorable interactions in trans-fused cyclohexane rings contributes significantly to their greater stability in comparison to cis-fused versions.