@article{article_742590, title={A Probabilistic Atomic Radius Definition: Application to Ground State Hydrogen-Like Atoms}, journal={Adıyaman University Journal of Science}, volume={10}, pages={608–619}, year={2020}, DOI={10.37094/adyujsci.742590}, author={Avcu, Fatih Mehmet and Alagöz, Serkan}, keywords={Quantum Mechanics, Solutions of Wave Equations, Atomic Radius, Bound states}, abstract={Several atomic radius concepts were proposed to express size of atoms in chemistry and physics. This study briefly surveys widely used definitions of atomic radiuses and introduces a probabilistic atomic radius concept that is based on the probability measure, which considers probability of the outermost electron to be in a spherical volume that is centered by nucleus of a hydrogen-like atom. Depending on this probability measure, 99% probabilistic atomic radius is calculated for a ground state hydrogen atom and its interpretation for hydrogen-like atomic systems is discussed.}, number={2}, publisher={Adıyaman University}