TECHNOLOGY FOCUS - ORGANIC CHEMISTRY - Preferred Group: The connecting molecule is a dioxy benzoate. The oxy group of dioxy benzoate couples with the oligo-ethylene oxide chain and the carboxy group of dioxy benzoate connects to the terminal hydroxyl group of oligo-ethylene oxide chain forming an ester bond. The oligo-ethylene oxide chain has a degree of polymerization of 1-20. The oligo-ethylene oxide chain contains a terminal group chosen from hydrogen, 3C or less alkyl, 3C or less acyl groups. Preferred Compounds: The lithium salt is chosen from lithium bromide (LiBr), lithium iodide (LiI), lithium thiocyanate (LiSCN), lithium boro-fluoride (LiBF4), lithium alumino-fluoride (LiAl3F4), lithium chlorate (LiClO4), (CF3SO2)2 NLi, (CF3CH2SO2)2 NLi, CF3SO3Li, LiC6F13SO3, LiCF3CO2 and LiHgI3.    TECHNOLOGY FOCUS - POLYMERS - Preferred Polymer: The base material polymer has a molecular weight of more than 16000. The high-branched polymer is a polyoxy alkylene oxide containing oligo-ethylene oxide chains coupled through dioxy benzoate. EXAMPLE - An oily monomer methyl-3,5-bis((8'- hydroxy-3',6'-dioxy octyl)oxy) benzoate (4) was synthesized from 8-(tertiary-butyl diphenyl siloxy)-1-hydroxy 3,6-dioxy octane (1). 220 mg of monomer (4) and di-n-butyl tin diacetate (22mg) catalyst were added in a flask and polymerized at 165 degrees C. Rubber-like solid obtained was dissolved in tetrahydrofuran and after processing, poly (bis(triethylene glycol)benzoate) (5) was obtained under reduced pressure. The high molecular weight components in the polymer were collected and dried. A high-branched polymer (weight average molecular weight 25000) was obtained, whose structure was confirmed with NMR and infrared spectrum. The terminal group of the high-branched polymer was acetylated. The acetylated polymer was mixed with polyethylene oxide (molecular weight 5x10 Power 6) at a predetermined ratio and (CF3SO2)2 NLi was added such that Li/EO (ethylene oxide) ratio was 1/8 to form a uniform solution. The solution was cast on a TEFLON sheet and dried. Electrolyte films having compounding ratio of high-branched polymer of 10 weight% (wt.%), 20 wt.% and 50 wt.%, were formed. On evaluation, the ionic conductivity (approximatelys) at 80 degrees C was 8.1x10 Power (-4) to 2.5x10 Power(-4), for the electrolytes (favorable). The dielectric breakdown voltage was about 4.5 volts. Lithium transport number based on AC impedance before and after DC polarization of electrodes in a cell using the electrolyte, was 0.15-0.37.