When two atoms of the same element bond, the bond is generally considered purely covalent due to identical electronegativities, resulting in a net dipole moment of zero. However, even covalent bonds can exhibit some ionic character depending on the local environment and the presence of resonance structures. For instance, Pauling's work indicates that ionic contributions can stabilize bonds, as seen in H2, where ionic structures contribute approximately 2% to stabilization energy. The discussion highlights the complexity of defining covalence, especially in different contexts, such as metal-ligand interactions versus organic compounds. The challenge lies in accurately measuring covalence and understanding the role of ionic structures in bond formation, particularly in valence bond theory versus molecular orbital theory. The conversation also touches on the limitations of various methods for assessing atomic charge and covalence, emphasizing the subjective nature of these concepts in quantum chemistry.