TECHNOLOGY FOCUS - INORGANIC CHEMISTRY - Preferred Method: The nanoparticles are introduced into the pores of the matrix material in form of a dispersion or a colloidal solution, preferably in the form of a sol, where the dispersion or the colloidal solution is aqueous-based or organic-based, preferably aqueous based. The introduction of the nanoparticles into the pores of the matrix material is carried out by impregnating the matrix material with the dispersion or the colloidal solution, preferably the sol. The nanoparticles present in the form of dispersion or colloidal solution, preferably sol, are obtained by precipitation, starting from solutions or dispersions of salts or other precursors, preferably alkoxides of the respective metals. The method comprises a drying step for removing the liquid medium of the dispersion or the colloidal solution, preferably the sol, after introducing the dispersion or the colloidal solution, preferably the sol into the pores of the matrix material and before carrying out the thermal treatment in step (b). The introduction of the nanoparticles into the pores of the matrix material is carried out in presence of at least one endo-template, preferably a structure-directing and/or porogen agent, where the endo-template is at least partially, preferably at least completely removed in the thermal treatment in step (b). The endo-template is a component of the dispersion or the colloidal solution, preferably the sol, and/or the endo-template is incorporated into the dispersion or the colloidal solution, preferably the sol. The thermal treatment in step (b) is carried out under oxidative conditions, preferably in presence of oxygen, which is carried out for at least partially, preferably at least completely removing the matrix material by combustion or pyrolysis. The method comprises calcining the mixed metal oxides and/or at least partially, preferably at least completely combusting or pyrolyzing the matrix material, during the thermal treatment in step (b). The thermal treatment in step (b) is carried out at 300-1500 degrees C, preferably 550-800 degrees C for 1-20 hours, preferably 3-10 hours, and in presence of oxygen containing atmosphere. Preferred Components: The particle size of the nanoparticles is less than the diameter of the pores of the matrix material. The ratio of the diameter of the pores of the matrix material and the particle size of the nanoparticles is 1:1, preferably at least 50. The nanoparticles exhibit a particle size of 0.1-2000 nm, preferably 1-250 nm, and an average particle size of 0.1-500 nm, preferably 2-100 nm. The molar ratio of used endo-template and used metals of the metal oxide is 0.005-0.2, preferably 0.015-0.08. The metal of the mixed oxide comprises metals of main- and subgroups of the periodic table, or lanthanides, preferably aluminum, bismuth, cerium, copper, iron, manganese, molybdenum, silicon, titanium, vanadium, zirconium (all preferred), cobalt, chromium, nickel, zinc, magnesium, calcium or boron. The metallic mixed oxide comprises aluminum oxide, bismuth oxide, iron oxide, copper oxide, lanthanide oxide, cerium oxide, manganese oxide, molybdenum oxide, silicon oxide, titanium oxide, vanadium oxide, tungsten oxide, zirconium oxide, or combinations of aluminum oxide and silicon dioxide, iron oxide and manganese oxide, copper oxide and manganese oxide, molybdenum trioxide and bismuth oxide, titanium dioxide and vanadium(V) oxide, zirconium dioxide and lanthanide oxide, zirconium dioxide and cerium(IV) oxide, zirconium dioxide and iron oxide, zirconium dioxide and manganese oxide, zirconium dioxide and silicon dioxide or zirconium dioxide and titanium dioxide. The size ratio of the particles of the used matrix material and the particles of the obtained porous material is 1.1:1-50:1, preferably 1.5:1-5:1. The porous material is self-supporting, i.e. it is formed without a carrier material. The porous material is formed as granular, preferably spherical discrete particles. At least 80 wt.%, preferably at least 95 wt.% of the particles of the porous material, exhibit a particle size, preferably a particle diameter of 0.001-1 mm, preferably 0.1-0.5 mm. The porous material exhibits: an average particle size, preferably an average particle diameter of 0.01-0.8 mm, preferably 0.1-0.6 mm; a total pore volume according to Barrett-Joyner-Halenda (BJH), of 0.01-2 cm3/g, preferably 0.1-0.8 cm3/g, where 50-99%, preferably 70-95% of the total pore volume of the porous material according to Barrett-Joyner-Halenda, is formed by pores having a pore diameter of less than 40 Angstrom , preferably less than 30 Angstrom ; an average pore diameter according to BJH, of 1-35 Angstrom , preferably 2-25 Angstrom ; a specific Brunauer-Emmett-Teller (BET) surface area of 10-1000 m2/g, preferably 25-300 m2/g; a hierarchically structured and/or hierarchically constructed pore system; a bimodal or multimodal pore diameter distribution, where the porous material comprises at least one first and second pore system, whose distribution maxima differ the pore diameter by at least 5 nm, preferably at least 10 nm, based on the diagram 4 of the specification; and a pressure and/or bursting strength per grain, preferably per bead of at least 1 Newton, preferably at least 5 Newton, or 1-30 Newton, preferably 5-20 Newton. The porous material is at least partially crystalline, preferably at least completely crystalline, where the porous material exhibits a degree of crystallinity of at least 25%, preferably at least greater than or equal to 60%. The mass ratio of at least two different metals of the metallic mixed oxide is 1:99-99:1, preferably 10:90-90:10.    TECHNOLOGY FOCUS - ORGANIC CHEMISTRY - Preferred Components: At least 80 wt.%, preferably at least 95 wt.% of the matrix material, preferably the activated carbon, exhibits a particle size, preferably a particle diameter of 0.001-2 mm, preferably 0.15-0.6 mm. The matrix material, preferably the activated carbon exhibits: an average particle size, preferably average particle diameter of 0.01-1 mm, preferably 0.2-0.4 mm; a total pore volume according to Gurvich of 0.4-4 cm3/g, preferably 0.7-2.5 cm3/g, where 50-99%, preferably 70-95% of the total pore volume according to Gurvich, of the matrix material, preferably the activated carbon, is formed by pores with a pore diameter of less than 500 nm, preferably less than 100 nm; a pore volume formed by pores having a pore diameter of less than or equal to 20 Angstrom , preferably a micropore volume of 0.1-2 cm3/g, preferably 0.4-1 cm3/g, where 20-95%, preferably 40-90% of the total pore volume of the matrix material, preferably the activated carbon, is formed by pores having a pore diameter of less than or equal to 20 Angstrom ; an average pore diameter of 1-150 Angstrom , preferably 1.5-50 Angstrom ; a specific BET surface area of 500-3500 m2/g, preferably 800-1800 m2/g; and a compressive strength and/or bursting strength per activated carbon grain, preferably per activated carbon bead, of at least 10 Newton, preferably at least 20 Newton or 10-50 Newton, preferably 15-40 Newton. Preferred Method: The matrix material, preferably the activated carbon is: modified at its surface and/or is subjected to a surface treatment and/or a surface modification; and equipped and/or modified at its surface with polar groups and hydrophilic or hydrophobic groups, preferably modified with hydrophilic or hydrophobic groups. The surface modification is carried out by oxidative or reductive treatment of the matrix material, preferably activated carbon, where the oxidative or reductive treatment of the matrix material is carried out thermally and/or chemically. The equipping of the polar and/or hydrophilic groups into the matrix material, preferably activated carbon, is carried out by: oxidative heat treatment during the production of the matrix material, preferably during activation treatment, comprising carrying out heat treatment in presence of oxidizing gases, preferably oxygen; or oxidative chemical treatment, preferably by treating and/or reacting the matrix material with at least one oxidizing agent, preferably nitric acid, peroxides, peracids and/or their combinations. The equipping of the non-polar and/or hydrophobic groups into the matrix material, preferably activated carbon, is carried out by reductive treatment of the matrix material in presence of at least one reducing agent, preferably hydrogen.    TECHNOLOGY FOCUS - POLYMERS - Preferred Components: The endo-template comprises organic polymers and copolymers, preferably block copolymers, organic surfactants, micelle forming compounds, and ammonium salts, preferably quaternary or diquaternary ammonium salts, and/or their combinations. EXAMPLE - Zirconium dioxide nanoparticles containing sol and cerium oxide nanoparticles containing sol were combined to obtain a sol containing both zirconium dioxide and cerium oxide nanoparticles. Then one part of the sol was mixed with endo-template (comprising Pluronic (RTM: Triblock copolymer made of ethylene oxide and propylene oxide). Then activated carbon pellets (2.5 g) (exhibiting a BET surface area of 1748 m2/g, a total pore volume according to Gurvich of 2 cm3/g and a grain diameter of 0.45-0.5 mm), which were dried at 110 degrees C in air, were impregnated with the zirconium dioxide and cerium oxide nanoparticles containing sol. Then the nanoparticles loaded activated carbon pellets were dried at 60 degrees C. Then the activated carbon pellets were calcined at 600 degrees C for five hours, in air flow of 40 cm3/minute for removing the carbon by pyrolysis and to obtain colorless cerium oxide/zirconium beads.