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PCT No. PCT/DE97/00996 Sec. 371 Date Feb. 11, 1998 Sec. 102(e) Date Feb. 11, 1998 PCT Filed May 16, 1997 PCT Pub. No. WO97/47963 PCT Pub. Date Dec. 18, 1997A sensor for determining the concentration of oxidizable constituents in a gas mixture includes a substrate which is planar and electrically insulating; a reference electrode which is positioned on a surface of the substrate and which catalyzes equilibrium adjustment of the gas mixture; a solid electrolyte which is ion-conducting and which is provided on at least the reference electrode; and at least one measuring electrode which is positioned on the ion-conducting solid electrolyte, which is one of not capable of catalyzing equilibrium adjustment of the gas mixture or is capable of catalyzing equilibrium adjustment of the gas mixture only to a small degree, which includes at least 50% of at least one of rutile and zirconium dioxide, and which is doped with acceptors and donors in which the acceptor contains at least one transition element, rare earth element, and mixtures thereof, and in which the donor is at least one of tantalum and niobium.