The
geometry of a molecule plays a significant role in determining
its physical and chemical properties. Despite its importance, there
are relatively few studies on ring puckering and conformations, often
focused on small cycloalkanes, 5- and 6-membered carbohydrate rings,
and specific macrocycle families. We lack a general understanding
of the puckering preferences of medium-sized rings and macrocycles.
To address this, we provide an extensive conformational analysis of
a diverse set of rings. We used Cremer–Pople puckering coordinates
to study the trends of the ring conformation across a set of 140 000
diverse small molecules, including small rings, macrocycles, and cyclic
peptides. By standardizing using key atoms, we show that the ring
conformations can be classified into relatively few conformational
clusters, based on their canonical forms. The number of such canonical
clusters increases slowly with ring size. Ring puckering motions,
especially pseudo-rotations, are generally restricted and differ between
clusters. More importantly, we propose models to map puckering preferences
to torsion space, which allows us to understand the inter-related
changes in torsion angles during pseudo-rotation and other puckering
motions. Beyond ring puckers, our models also explain the change in
substituent orientation upon puckering. We also present a novel knowledge-based
sampling method using the puckering preferences and coupled substituent
motion to generate ring conformations efficiently. In summary, this
work provides an improved understanding of general ring puckering
preferences, which will in turn accelerate the identification of low-energy
ring conformations for applications from polymeric materials to drug
binding.