TECHNOLOGY FOCUS - ORGANIC CHEMISTRY - Preferred Components: The first anion is of formula ((B(X1bY1b)x1R1bz1)-) (II), ((B(X1cY1c)x2Fy2)-) (III) and ((B(X1dY1d)x3Fy3R1cz3)-) (IV). (II) includes at least one tri(cyano)(trifluoromethyl) borate, di(cyano)(difluoromethyl) borate, (cyano)tris(trifluoromethyl) borate, tri(cyano)(pentafluoroethyl) borate, di(cyano)(dipentafluoroethyl) borate, (cyano)tris(pentafluoroethyl) borate, tri(cyano)(pentafluorophenyl) borate, di(cyano)(dipentafluorophenyl) borate, (cyano)tris(pentafluorophenyl) borate, tri(isocyano)(trifluoromethyl) borate, di(isocyano)(difluoromethyl) borate, (isocyano)tris(trifluoromethyl) borate, tri(isocyano)(pentafluoroethyl) borate, di(isocyano)(dipentafluoroethyl) borate, (isocyano)tris(pentafluoroethyl) borate, tri(isocyano)(pentafluorophenyl) borate, di(isocyano)(dipentafluorophenyl) borate and (isocyano)tris(pentafluorophenyl) borate. (III) includes at least one of tri(cyano)fluoride borate, di(cyano)(difluoride) borate, (cyano)tris(fluoride) borate, tri(isocyano)(fluoride) borate, di(isocyano)(difluoride) borate and (isocyano)tris(fluoride) borate, and (IV) includes at least one of di(cyano)fluoride(trifluoromethyl) borate, (cyano)difluoride(trifluoromethyl) borate, (cyano)fluoride-bis(trifluoromethyl) borate, di(cyano)fluoride(pentafluoroethyl) borate, (cyano)difluoride(pentafluoroethyl) borate, (cyano)fluoride-bis(pentafluoroethyl) borate, di(isocyano)fluoride(trifluoromethyl) borate, (isocyano)difluoride(trifluoromethyl) borate, (isocyano)fluoride-bis(trifluoromethyl) borate, di(isocyano)fluoride(pentafluoroethyl) borate, (isocyano)difluoride(pentafluoroethyl) borate and (isocyano)fluoride-bis(pentafluoroethyl) borate. The non-aqueous electrolytic solution includes alkali metal ion, alkaline-earth metal ion, or both as a cation. The cation includes lithium ion. The non-aqueous electrolytic solution includes at least one second anion excluding the first anions, where the second anions each include fluorine as a constituent element. The second anions include at least one hexafluorophosphate ion, tetrafluoroborate ion, hexafluoroarsenate ion, trifluoromethanesulfonic acid ion, hexafluorosilicate ion, bis(fluorosulfonyl)imide ion, and ions of formula (V)-(VIII), ((N(CmF2m+1SO2)(C nF2n+1SO2))-) or (C(CpF2p+1SO2)(CqF2q+1SO2)(CrF2r+1SO2)-). (V) includes at least one of anions comprising 2,2-difluoro-4,5-dioxo-1,3,2-dioxaborolan-2-uide, 5,5-difluoro-2,3,7,8-tetraoxo-1,4,6,9-tetraoxa-5( lambda 5)-phosphaspiro(4.4)nonan-5-uide, 2,2-difluoro-5-oxo-4,4-bis(trifluoromethyl)-1,3,2-dioxaborolan-2-uide, 2,2,2,2-tetrafluoro-4,5-dioxo-1,3,2( lambda 5)-dioxaphospholan-2-uide and 3,8-dioxo-2,2,7,7-tetrakis(trifluoromethyl)-1,4,6,9-tetraoxa-5-boraspiro(4.4)nonan-5-uide. (VI) includes at least one of anions comprising 8,8-difluoro-2,3,7,9-tetraoxo-1,4,6,10-tetraoxa-5-boraspiro(4.5)decan-5-uide, 3,7,8-trioxo-2,2-bis(trifluoromethyl)-1,4,6,9-tetraoxa-5-boraspiro(4.4)nonan-5-uide, 2,3,7-trioxo-8-(trifluoromethyl)-1,4,6,9-tetraoxa-5-boraspiro(4.4)nonan-5-uide, 2-methyl-3,7,8-trioxo-2-(trifluoromethyl)-1,4,6,9-tetraoxa-5-boraspiro(4.4)nonan-5-uide, 2,3,9-trioxo-7,7-bis(trifluoromethyl)-1,4,6,10-tetraoxa-5-boraspiro(4.5)decan-5-uide, 7,8-dioxo-2,2,3,3-tetrakis(trifluoromethyl)-1,4,6,9-tetraoxa-5-boraspiro(4.4)nonan-5-uide, 7-methyl-2,3,9-trioxo-7-(trifluoromethyl)-1,4,6,10-tetraoxa-5-boraspiro(4.5)decan-5-uide and 2,3,7-trioxo-9-(trifluoromethyl)-1,4,6,10-tetraoxa-5-boraspiro(4.5)decan-5-uide, (VII) includes an anion comprising 2-fluoro-4,5-dioxo-2-(trifluoromethyl)-1,3,2-dioxaborolan-2-uide, (VIII) includes at least one of bis(trifluoromethanesulfonyl)imide ion, bis(pentafluoroethanesulfonyl)imide ion, (trifluoromethanesulfonyl) (pentafluoroethanesulfonyl)imide ion, (trifluoromethanesulfonyl)(heptafluoropropanesulfonyl) imide ion and (trifluoromethanesulfonyl)(nonafluorobutanesulfonyl) imide ion, (IX) includes at least one anions comprising 4,4,5,5-tetrafluoro-1,1,3,3-tetraoxo-1( lambda 6),3( lambda 6),2-dithiazolidin-2-ide, 4,4,5,5,6,6-hexafluoro-1,1,3,3-tetraoxo-1( lambda 6),3( lambda 6),2-dithiazinan-2-ide, 4,4,5,5,6-pentafluoro-1,1,3,3-tetraoxo-6-(trifluoromethyl)-1( lambda 6),3( lambda 6),2-dithiazinan-2-ide and 4,4,5,5,6,6,7,7-octafluoro-1,1,3,3-tetraoxo-1( lambda 6),3( lambda 6),2-dithiazepan-2-ide, and (X) includes tris(trifluoromethanesulfonyl)methide ion. The lithium-oxygen-containing compound: includes as a constituent element, lithium, oxygen and at least one element belonging to groups 2-15 in long form of periodic table; includes at least one compound comprising lithium manganese oxides of formula (Lia1Mn (1-b1-c1)Nib1M1ac1O(2-d1a)Fe1) (XI), a composition of lithium differs depending on a charged-discharged state of formula (Lia2Ni (1-b2)M2ab2O(2-c2)Fd2) (XII), where a1 is a value in a completely-discharged state, a composition of lithium differs depending on the charged-discharged state of formula (Lia3Co(1-b3)M3ab3O (2-c3)Fd3) (XIII), where a2 is a value in the completely-discharged state, a composition of lithium differs depending on the charged-discharged state of formula (Lia4Mn(2-b4)M4ab4Oc4Fd4) (XIV), where a3 is a value in the completely-discharged state, and a composition of lithium differs depending on the charged-discharged state of formula (Lia5M5aPO4) (XV), where a4 is a value in the completely-discharged state, and a composition of lithium differs depending on the charged-discharged state, where a5 is a value in the completely-discharged state. (XI)-(XIII) each include at least one of lithium dioxonickelate(III), lithium cobalt oxide, lithium cobalt aluminum magnesium oxide (LiCo0.98Al0.01Mg0. 01O2), lithium nickel cobalt manganese oxide (LiNi0.5Co0.2Mn0.3O2), lithium nickel cobalt aluminum oxide (LiNi0. 8Co0.15Al0.05O2), lithium nickel cobalt manganese oxide (LiNi0.33Co0.33Mn0.33O2), lithium manganese cobalt nickel oxide (Li1.2Mn0. 52Co0. 175Ni0. 1O2) or lithium manganese nickel cobalt oxide (Li1. 15(Mn0. 65Ni0. 22Co0.13)O2), (XIV) is lithium manganese oxide, and (XV) is at least one of lithium iron phosphate, lithium manganese phosphate, lithium manganese phosphate (LiFe0.5Mn0. 5PO4) and lithium iron manganese phosphate (LiFe0.3Mn0.7PO4).X1b-X1d=one of divalent chain hydrocarbyl, divalent fluorinated chain hydrocarbyl or absent;Y1b-Y1d=one of cyano and isocyano;R1b, R1c=one of monovalent fluorinated chain hydrocarbyl and monovalent fluorinated cyclic hydrocarbyl;x1-x3, z1, z3=greater than 0;x1+z1, x2+y2 and x3+y3+z3=4;x2, z2=greater than 0;x1+z1=4;M41a=one of transition metal elements, group 13 elements, group 14 elements and group 15 elements in long form of periodic table;R41a=halo;Y41a=one of C(=O)-R42a-C(=O)-, -C(=O)-CR43a- and -C(=O)-C(=O)-;R42a=one of alkylene, halogenated alkylene, arylene and halogenated arylene;R43a=one of alkyl, halogenated alkyl, aryl and halogenated aryl;a4=1-4;b4=one of 0, 2 and 4;X51=one of group 1 elements and group 2 elements in the long form of the periodic table;M51a=one of transition metal elements, group 13 elements, group 14 elements and group 15 elements in the long form of the periodic table;Y51a=one of -C(=O)-(CR51a)b5-C(=O)-, -R53aC-(CR52a)c5-C(=O)-, -R53aC-(CR52a)c5-CR53a-, -R53aC-(CR52a)c5-S(=O)2-, -S(=O)2-(CR52a)d5-S(=O)2- and -C(=O)-(CR52a)d5-S(=O)2-;R51a, R53a=one of H, alkyl, halo and halogenated alkyl; orR51a and/or R53a=one of halo and halogenated alkyl;R52a=one of H, alkyl, halo and halogenated alkyl;a5=1 or 2;X61a=one of group 1 elements and group 2 elements in the long form of the periodic table;M61a=one of transition metal elements, group 13 elements, group 14 elements and group 15 elements in the long form of the periodic table;R1f, R2f=one of fluorinated alkyl and fluorinated aryl, where R1f and R2f have 1-10C;Y61a=one of C(=O)-(CR61a)d6-C(=O)-, -R62aC-(CR61a)d6-C(=O)-, -R62aC-(CR61a)d6-CR62a-, -R62aC-(CR61a)d6-S(=O) 2-, -S(=O)2-(CR61a)e6-S(=O)2- or -C(=O)-(CR61a)e6-S(=O)2-;R61a=one of H, alkyl, halo and halogenated alkyl;R62a=one of H, alkyl, halo and halogenated alkyl, where at least one of R62 is one of halo or halogenated alkyl;a6=one of 1 and 2;b6, c6=1-4;m, n= greater than or equal to 1;R71=optionally branched 2-4C perfluoroalkylene;p, q, r= greater than or equal to 1;M1a = at least one Co, Mg, Al, B, Ti, V, Cr, Fe, Cu, Zn, Zr, Mo, Sn, Ca, Sr and W;a1-a3=0.8-1.2;b1=greater than 0 to less than 0.5;c1=0-0.5;b1+c1=less than 1;d1=-0.1 to 0.2;e1=0-0.1;M2a=at least one Co, Mn, Mg, Al, B, Ti, V, Cr, Fe, Cu, Zn, Mo, Sn, Ca, Sr and W;b2=0.005-0.;c2=-0.1-0.2;d2=0-0.1;M3a=at least one of Ni, Mn, Mg, Al, B, Ti, V, Cr, Fe, Cu, Zn, Mo, Sn, Ca, Sr and W;b3= greater than or equal to 0 to less than 0.5;c3=-0.1-0.2;d3=0-0.1;M4a=at least one of Co, Ni, Mg, Al, B, Ti, V, Cr, Fe, Cu, Zn, Mo, Sn, Ca, Sr and W;a4=0.9-1.1;b4=0-0.6;c4=3.7-4.1;d4 = 0-0.1;M5a=at least one of Co, Mn, Fe, Ni, Mg, Al, B, Ti, V, Nb, Cu, Zn, Mo, Ca, Sr, W and Zr; anda5=0.9-1.1. Preferred Definitions:    divalent chain hydrocarbyl = 1-4C alkylene;    divalent fluorinated chain hydrocarbyl = group obtained by substituting at least one F for at least one H in the alkylene, preferably perfluoroalkylene;    monovalent fluorinated chain hydrocarbyl = one of group obtained by substituting at least one F for at least one H in 1-4C alkyl, group obtained by substituting at least one F for at least one H in 2-4C alkenyl or group obtained by substituting at least one F for at least one H in 2-4C alkynyl, preferably one of perfluoroalkyl, perfluoroalkenyl and perfluoroalkynyl; and    monovalent fluorinated cyclic hydrocarbyl = one of group obtained by substituting at least one F for at least one H in 6-18C aryl or group obtained by substituting at least one F for at least one H in 6-18C cycloalkyl, preferably one of perfluoroaryl or perfluorocycloalkyl.