Single electron-controlled motions of single molecules

In the domain of single-molecule dynamics, we investigate the impact of electrostatic forces on molecular motion. Our study delves into the interplay between quantum mechanics and electrostatic interactions, resulting in trajectories reminiscent of planetary motion and gravity-assisted acceleration. By employing state-dependent diffusion and Green's functions, we establish a robust theoretical foundation that explains quantum control over molecules. We find that surface charge density critically influences diffusion coefficients, following linear scaling similar to Coulombic forces. Our research extends the range of observed diffusion coefficients, reaching up to 6000 µm2ms-1. These findings have practical applications in materials science and molecular engineering. This study advances our understanding of molecular motion and highlights the potential for precise control over single-molecule dynamics through quantum manipulation—an exploration at the nanoscale.