Chemical systems with open-shell electronic structure have been gaining attention these days. Their potential applications in firstrow transition metal catalysis, molecular wires, photovoltaics and other potential applications have urged the adoption of a simple analysis tool to better understand their open-shell electronic structures, especially the role played by the unpaired electrons. Despite its lack of popularity, spin natural orbital (SNO) analysis is a tool we found to well-suit this purpose. We have therefore re-examined how the SNO could help us analyze some interesting open-shell systems, including mixed-valence compounds, singlet biradicals, and antiferromagnetically coupled systems. We found that some interesting patterns emerge from SNO analysis, especially those associated with exchange interaction.The SNO analysis, the main method we wish to discuss in this article, approaches the "correspondence" problem from a different angle. Although at the first glance the definition does not suggest a correspondence relationship, we will present its intimate connection with the COT and why it will always give such correspondence in a single-determinant calculation.