TECHNOLOGY FOCUS - INORGANIC CHEMISTRY - Preferred Properties: The highest peak derived from cerium oxide by X-ray diffraction analysis made a face distance, and shifted to the high space side rather than the cerium oxide independent highest peak, preferably shifted to 0.02 Angstrom or more quantity space side rather than cerium oxide independent highest peak, more preferably 3.11-3.13 Angstrom. The highest peak derived from cerium oxide by X-ray diffraction analysis is made 2 theta, and belongs to 28.44-28.66 degrees lattice surface. A peak height to No.2 derived from cerium oxide of the inorganic material by X-ray diffraction analysis makes a face distance, and is 1.63 Angstrom. A peak height to No.2 makes 2 theta, and belongs to 56.3-56.6 degrees lattice surface. A peak height to No.3 derived from cerium oxide by X-ray diffraction analysis makes a face distance, and exists in 1.9 Angstrom. A peak height to No.3 makes 2 theta, and belongs to 47.4-47.8 degrees lattice surface.Preferred Composition: The molar ratio of cerium to niobium in the inorganic material is 1 or more. The shift catalyst has noble metals supported to the inorganic material or honey-comb monolith.Preferred Metals: The noble metal is at least one type chosen from platinum, rhodium, palladium, ruthenium, iridium and osmium. The content of metallic element chosen from platinum, rhodium, palladium, ruthenium, iridium and osmium, in the shift catalyst is 0.1-20 mass%.Preferred Conditions: The evaporation to dryness temperature is 100 degrees Celsius or more. The calcination temperature during the inorganic material manufacture, is 250-600 degrees Celsius. EXAMPLE - 10 mass% niobium oxide sol (in g) (18) and 30 ml of concentrated nitric acid were added with respect to cerium carbonate (26.1), and stirred. Subsequently, methyl cellulose ether Hi-Metrose (0.5) was added to the stirred mixture, and further stir-mix. The resulting mixture was dried at 150 degrees Celsius for whole day and night, and ground. The ground material was baked at 500 degrees Celsius for 1 hour, and an inorganic material (Ce80Nb20) with Brunauer Emmett Teller (BET) specific surface area of 100 m2/g was obtained. The inorganic material had 80 mol% of cerium and 20 mol% of niobium.