Cremer-Pople puckering parameters provide a mathematical framework to describe the three-dimensional conformations of non-planar ring systems, which are particularly useful for cyclic organic molecules. For an 𝑁-membered ring (where𝑁 > 3), there are 𝑁 -3 ring-puckering coordinates that quantify deviations from planarity. For a six -membered ring, these coordinates reduce to three key parameters: the puckering amplitude 𝑄, which measures the extent of puckering, and two angular variables, 𝜃 and 𝜙, which describe the degree and type of distortion (e.g., chair, boat, or twist). This formalism can be generalized to rings of different sizes, making it a versatile tool for analyzing ring conformations.