Quantum trembling: Why there are no truly flat molecules

Molecules like formic acid (HCOOH) are often depicted as perfectly flat in chemistry textbooks, but quantum physics proves this is impossible due to inherent atomic vibrations and three-dimensional dynamics. New research confirms that even simple molecules resist rigidity, with atoms constantly "trembling" due to quantum uncertainty, preventing true two-dimensional structures from forming in nature. The study challenges classical models by demonstrating that quantum fluctuations—tiny, unpredictable movements—force molecules into the third dimension, even when their bonds suggest a flat arrangement. Scientists used advanced computational simulations to show how these vibrations create subtle but unavoidable deviations from planarity, altering molecular behavior in ways traditional chemistry overlooks. This finding impacts fields like materials science and drug design, where molecular shape influences function, proving quantum effects must be accounted for in precise structural predictions.