A non-aqueous electrolyte lithium secondary battery that includes: a carbon
capable of intercalating and de-intercalating lithium ion as an anode; a
lithium containing material that can reversibly intercalate and
de-intercalate lithium ion as a cathode; and a non-aqueous electrolyte
including trans-4,5, dialkyl-1,3- dioxolane-2-one substantially free of
cis-4,5-dialkyl-1,3-dioxolane-2-one and a lithium salt.