A porous formed article includes an organic polymer resin and an inorganic ion adsorbent and having the most frequent pore size of 0.08 to 0.70 μm measured with a mercury porosimeter. Such a porous formed article can be prepared by crushing and mixing a good solvent for the organic polymer resin and the inorganic ion adsorbent to obtain slurry; dissolving the organic polymer resin and a water-soluble polymer in the slurry; shape-forming the slurry; promoting coagulation of the shape-formed product by controlling the temperature and humidity of a spatial portion coming into contact with the shape-formed product, until the shape-formed product is coagulated in a poor solvent; and coagulating the coagulation-promoted shape-formed product in a poor solvent. A production apparatus can be used to prepare such a porous formed article.

A facile solvothermal method can be used to synthesize metal alkanoate nanoparticles using a metal nitrate precursor, alcohol/water, and alkanoic acid. The method can produce lanthanide (e.g., La, Ce, Pr, Nd, Sm, Eu, Gd, Tb, Dy, Ho, Er, Tm, or Yb) and transition metal (e.g., Ag, Co, Cu, or Pb) alkanoate nanoparticles (<100 nm) with spherical morphology. These hybrid nanomaterials adopt a lamellar structure consisting of inorganic metal cation layers separated by an alkanoate anion bilayer and exhibit liquid crystalline phases during melting. For example, thermal analysis indicated the formation of Smectic A liquid crystal phases by lanthanide decanoate nanoparticles, with the smaller lanthanides (Ln=Sm, Gd, Er) displaying additional solid intermediate and Smectic C phases. The formation of liquid crystal phases by the smaller lanthanide ions suggests that these nanoscale materials have vastly different thermal properties than their bulk counterparts, which do not exhibit liquid crystal behavior. Photoluminescence spectroscopy revealed the lanthanide decanoates to be highly optically active, producing strong visible emissions that corresponded to expected electronic transitions by the various lanthanide ions. The metal alkanoate nanoparticles can be calcined to produce metal oxide nanoparticles.

A facile solvothermal method can be used to synthesize metal alkanoate nanoparticles using a metal nitrate precursor, alcohol/water, and alkanoic acid. The method can produce lanthanide (e.g., La, Ce, Pr, Nd, Sm, Eu, Gd, Tb, Dy, Ho, Er, Tm, or Yb) and transition metal (e.g., Ag, Co, Cu, or Pb) alkanoate nanoparticles (<100 nm) with spherical morphology. These hybrid nanomaterials adopt a lamellar structure consisting of inorganic metal cation layers separated by an alkanoate anion bilayer and exhibit liquid crystalline phases during melting. For example, thermal analysis indicated the formation of Smectic A liquid crystal phases by lanthanide decanoate nanoparticles, with the smaller lanthanides (Ln=Sm, Gd, Er) displaying additional solid intermediate and Smectic C phases. The formation of liquid crystal phases by the smaller lanthanide ions suggests that these nanoscale materials have vastly different thermal properties than their bulk counterparts, which do not exhibit liquid crystal behavior. Photoluminescence spectroscopy revealed the lanthanide decanoates to be highly optically active, producing strong visible emissions that corresponded to expected electronic transitions by the various lanthanide ions. The metal alkanoate nanoparticles can be calcined to produce metal oxide nanoparticles.

A facile solvothermal method can be used to synthesize metal alkanoate nanoparticles using a metal nitrate precursor, alcohol/water, and alkanoic acid. The method can produce lanthanide (e.g., La, Ce, Pr, Nd, Sm, Eu, Gd, Tb, Dy, Ho, Er, Tm, or Yb) and transition metal (e.g., Ag, Co, Cu, or Pb) alkanoate nanoparticles (<100 nm) with spherical morphology. These hybrid nanomaterials adopt a lamellar structure consisting of inorganic metal cation layers separated by an alkanoate anion bilayer and exhibit liquid crystalline phases during melting. The metal alkanoate nanoparticles can be calcined to produce metal oxide nanoparticles.

A facile solvothermal method can be used to synthesize metal alkanoate nanoparticles using a metal nitrate precursor, alcohol/water, and alkanoic acid. The method can produce lanthanide (e.g., La, Ce, Pr, Nd, Sm, Eu, Gd, Tb, Dy, Ho, Er, Tm, or Yb) and transition metal (e.g., Ag, Co, Cu, or Pb) alkanoate nanoparticles (<100 nm) with spherical morphology. These hybrid nanomaterials adopt a lamellar structure consisting of inorganic metal cation layers separated by an alkanoate anion bilayer and exhibit liquid crystalline phases during melting. The metal alkanoate nanoparticles can be calcined to produce metal oxide nanoparticles.

Disclosed here is a method for making a monolithic rare earth oxide (REO) aerogel, comprising: preparing a reaction mixture comprising at least one rare earth metal nitrate, at least one epoxide, at least one base catalyst, and at least one organic solvent; curing the mixture to produce a wet gel; drying the wet gel to produce a dry gel; and thermally annealing the dry gel to produce the monolithic REO aerogel. Also disclosed is an REO aerogel comprising a network of REO nanostructures, wherein the REO aerogel is a monolith having at least one lateral dimension of at least 1 cm, wherein the REO aerogel has a density of about 40-500 mg/cm.sup.3 and/or a BET surface area of at least about 20 m.sup.2/g, and wherein the REO aerogel is substantially free of oxychloride.

Disclosed here is a method for making a monolithic rare earth oxide (REO) aerogel, comprising: preparing a reaction mixture comprising at least one rare earth metal nitrate, at least one epoxide, at least one base catalyst, and at least one organic solvent; curing the mixture to produce a wet gel; drying the wet gel to produce a dry gel; and thermally annealing the dry gel to produce the monolithic REO aerogel. Also disclosed is an REO aerogel comprising a network of REO nanostructures, wherein the REO aerogel is a monolith having at least one lateral dimension of at least 1 cm, wherein the REO aerogel has a density of about 40-500 mg/cm.sup.3 and/or a BET surface area of at least about 20 m.sup.2/g, and wherein the REO aerogel is substantially free of oxychloride.

Rare earth compound particles are prepared by a step of heating an aqueous solution containing rare earth metal ions and urea to form a rare earth compound by a reaction of a hydrolysis product of urea, and the rare earth metal ions. In the heating step, heating the aqueous solution into which an acetylene glycol-ethylene oxide adduct is added.

A nanocrystal-sized cerium-zirconium-aluminum mixed oxide material includes at least 20% by mass zirconium oxide; between 5% to 55% by mass cerium oxide; between 5% to 60% by mass aluminum oxide; and a total of 25% or less by mass of at least one oxide of a rare earth metal selected from the group of lanthanum, neodymium, praseodymium, or yttrium. The nanocrystal-sized cerium-zirconium-aluminum mixed oxide exhibits hierarchically ordered aggregates having a dso particle size less than 1.5 μm, and retains at least 80% of surface area and pore volume after ageing at temperature higher than 1000° C. for at least 6 hours. The nanocrystal-sized cerium-zirconium-aluminum mixed oxide material is prepared using a co-precipitation method followed by milling the dried and calcined oxide material. The nanocrystal-sized cerium-zirconium-aluminum mixed oxide material forms a particulate filter that may be used in an exhaust system arising from a gas or diesel engine

Rare earth compound particles are prepared by a step of heating an aqueous solution containing rare earth metal ions and urea to form a rare earth compound by a reaction of a hydrolysis product of urea, and the rare earth metal ions. In the heating step, heating the aqueous solution into which an acetylene glycol-ethylene oxide adduct is added.