Nonaqueous electrolytic solutions and nonaqueous-electrolyte batteries

Nonaqueous electrolytes capable of providing a battery having a high capacity and excellent in storability and cycle characteristics are provided. Also provided are nonaqueous-electrolyte batteries produced with the electrolytes. The nonaqueous electrolyte contains at least one compound selected from the group consisting of cyclic sulfonic acid ester compounds, di-sulfonic acid ester compounds, derivatives of phosphonate and compounds and further contains a fluorinated cyclic carbonate having two or more fluorine atoms.