A non-aqueous liquid electrolyte suitable for use in a non-aqueous liquid electrolyte secondary battery comprising a negative electrode and a positive electrode, capable of intercalating and deintercalating lithium ions, and the non-aqueous liquid electrolyte, the negative electrode containing a negative-electrode active material having at least one kind of atom selected from the group consisting of Si atom, Sn atom and Pb atom, wherein the non-aqueous liquid electrolyte comprises a carbonate having at least either an unsaturated bond or a halogen atom.