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Particles including at least a metal oxide represented by the following formula and having a number-average particle diameter of 100 nm or less;
[in-line-formulae]AxLyMzOu [/in-line-formulae]
wherein A is an alkali metal selected from Li, Na, K, Cs and Rb, or silver; L is a trivalent rare earth element selected from Sc, Y, La, Ce, Pr, Nd, Pm, Sm, Eu, Gd, Tb, Dy, Ho, Er, Tm, Yb and Lu; M is W, Mo, Cr, Mn, Ru, Os, Ir or Re; x is 0 to 2; y is 0.5 to 2; z is 0.5 to 4; and u is 5 to 10.