TECHNOLOGY FOCUS - POLYMERS - Preferred Polymer: The polymer (I) is selected from poly(methoxy-oligo(ethylene glycol)m oligo(ethylene glycol)n borate), poly(methoxy-oligo(ethylene glycol)m oligo(propylene glycol)n borate) and poly(butoxy-oligo(propylene glycol)m oligo(ethylene glycol)n borate), where m = 1-12 and n = 2-17. The polyanionic polymer chain comprises repeat units (III).(M)+kb(AL)-qp (III) -O-X(Y1)(Y2)-O- (IIIa)A = anionic group (IIIa);Y2 = ligand bound to X;q = charge on anion;M+ = lithium or sodium, preferably lithium;b = number of cations;k = charge on cation; andbk = pq.The polyanionic polymer is selected from poly(methoxy-oligo(ethylene glycol)m oligo(ethylene glycol)n bis(trifluoromethanesulfonyl) imido borate), poly(methoxy-oligo(ethylene glycol)m oligo(propylene glycol)n bis(trifluoromethanesulfonyl) imido borate) and poly(butoxy-oligo(propylene glycol)m oligo(ethylene glycol)n bis(trifluoromethanesulfonyl) imido borate), or poly(methoxy-oligo(ethylene glycol)m oligo(ethylene glycol)n trifluoromethanesulfonato borate), poly(methoxy-oligo(ethylene glycol)m oligo(propylene glycol)n trifluoromethanesulfonato borate) and poly(butoxy-oligo(propylene glycol)m oligo(ethylene glycol)n trifluoromethanesulfonato borate), or poly(methoxy-oligo(ethylene glycol)m oligo(ethylene glycol)n thiocyanato borate), poly(methoxy-oligo(ethylene glycol)m oligo(propylene glycol)n thiocyanato borate) and poly(butoxy-oligo(propylene glycol)m oligo(ethylene glycol)n thiocyanato borate), or poly(methoxy-oligo(ethylene glycol)m oligo(ethylene glycol)n cyanido borate), poly(methoxy-oligo(ethylene glycol)m oligo(propylene glycol)n cyanido borate) and poly(butoxy-oligo(propylene glycol)m oligo(ethylene glycol)n cyanido borate), or poly(methoxy-oligo(ethylene glycol)m oligo(ethylene glycol)n methoxy borate), poly(methoxy-oligo(ethylene glycol)m oligo(propylene glycol)n methoxy borate) and poly(butoxy-oligo(propylene glycol)m oligo(ethylene glycol)n methoxy borate), or poly(methoxy-oligo(ethylene glycol)m oligo(ethylene glycol)n (2,2,2-trifluoroethoxy) borate), poly(methoxy-oligo(ethylene glycol)m oligo(propylene glycol)n (2,2,2-trifluoroethoxy) borate) and poly(butoxy-oligo(propylene glycol)m oligo(ethylene glycol)n (2,2,2-trifluoroethoxy) borate), or poly(methoxy-oligo(ethylene glycol)m oligo(ethylene glycol)n phenyl borate), poly(methoxy-oligo(ethylene glycol)m oligo(propylene glycol)n phenyl borate) and poly(butoxy-oligo(propylene glycol)m oligo(ethylene glycol)n phenyl borate), or poly(methoxy-oligo(ethylene glycol)m oligo(ethylene glycol)n sulfido borate), poly(methoxy-oligo(ethylene glycol)m oligo(propylene glycol)n sulfido borate) and poly(butoxy-oligo(propylene glycol)m oligo(ethylene glycol)n sulfido borate).Preferred Method: The polyanionic polymer may be formed by combining precursor Lewis acid-containing polymer (I) and salt of Lewis base (IV) such that Y2 combines or associates with X.M+kY2 (IV)The supplied Lewis base is capable of binding strongly or weakly associating with Lewis acid-containing polymer. Lewis acid-containing polymer (I) may be prepared by combining boric acid with Y1 group comprising reactive group under conditions whereby one boric acid molecule reacts with one reactive group to form tri-coordinated boronic acid intermediate having Y1 ligand and two hydroxyl groups, contacting intermediate with polyalkylene glycol to form polymer and water. The polyanionic polymeric network is formed by contacting chain polymers with lithium boron hydride under conditions where the chains are cross-linked. The polyanionic polymer comprises in addition, a polymeric compound selected from chain polymer, polymer network and block copolymer.    TECHNOLOGY FOCUS - ORGANIC CHEMISTRY - Preferred Composition: The polyanionic polymer is affixed to a solid matrix surface or formed into a film by dissolving in solvent such as tetrahydrofuran, acetonitrile or acetone. The conductivity of polyanionic polymers is improved by adding plasticizers. The plasticizer is a non-carbonate plasticizer selected from dimethylsulfoxide, dimethyl sulfone, ethylmethylsulfone, butyrolactone, 1,2-dimethoxyethane and 1,2-diethoxyethane, or carbonate plasticizers selected from ethylene carbonate, propylene carbonate, butylene carbonate, dimethyl carbonate and diethyl carbonate. Preferred Definitions:    X = aluminum or boron, preferably boron;    Y1 = phenyl optionally substituted with fluorine, or poly(methoxy-oligo(ethylene glycol)m) or poly(butoxy-oligo(propylene glycol)m);    m = 1-50;    Z = oligo(ethylene glycol)n or oligo(propylene glycol)n or polysiloxane (Si((CR3)2)-O(CR2CR2O)n;    n = 2-50;    R = H or alkyl.    EXAMPLE - Phenylboronic acid (PhB(OH)2) was refluxed with poly(ethylene glycol) (PEG400) in toluene. Water produced in the condensation reaction was collected and measured to determine the extent of the reaction. When the amount of recovered water indicated that reaction was complete, the solution was filtered and the solvent was removed on a rotary evaporator. The product, poly(phenyl-oligo(ethylene glycol)9 borate), was further dried by overnight evacuation at 100 degreesC in a vacuum oven. The product was a viscous liquid. It was reacted with lithium imide to form an anion-trapping polymer electrolyte. The glass transition temperature of the electrolyte was -37.8 degreesC and the log of ambient conductivity (log SIGMA) at 25 degreesC was -5.20 S.cm-1.