A light emitting material for an organic electroluminescent device comprising an asymmetric anthracene derivative represented by the following general formula; wherein A 1 and A 2 each independently represents a substituted or unsubstituted condensed aromatic hydrocarbon ring group selected from the group consisting of 2-naphthyl group, 1-phenanthryl group, 2-phenanthryl group, 3-phenanthryl group, 4-phenanthryl group, 9-phenanthryl group, 1-naphthacenyl group, 2-naphthacenyl group, 9-naphthacenyl group, 1-pyrenyl group, 2-pyreriyl group, 4-pyrenyl group, 3-methyl-2-naphthyl group and 4-methyl-1-naphthyl group; Ar 1 and Ar 2 each independently represents a hydrogen atom, or a substituted or unsubstituted aromatic hydrocarbon ring group having ring carbon atoms of 6 to 50; R 1 to R 8 each independently represents a hydrogen atom, a substituted or unsubstituted aromatic hydrocarbon ring group having ring carbon atoms of 6 to 50, a substituted or unsubstituted aromatic hetero ring group having ring atoms of 5 to 50, a substituted or unsubstituted alkyl group having carbon atoms of 1 to 50, a substituted or unsubstituted cycloalkyl group having carbon atoms of 3 to 50, a substituted or unsubstituted alkoxy group having carbon atoms of 1 to 50, a substituted or unsubstituted aralkyl group having carbon atoms of 6 to 50, a substituted or unsubstituted aryloxy group having carbon atoms of 5 to 50, a substituted or unsubstituted arylthio group having carbon atoms of 5 to 50, a substituted or unsubstituted alkoxycarbonyl group having carbon atoms of 1 to 50, a substituted or unsubstituted silyl group, a carboxyl group, a halogen atom, a cyano group, a nitro group or a hydroxyl group; R 9 to R 10 each independently represents a hydrogen atom, a substituted or unsubstituted aromatic hydrocarbon ring group having ring carbon atoms of 6 to 50, a substituted or unsubstituted alkyl group having carbon atoms of 1 to 50, a substituted or unsubstituted cycloalkyl group having carbon atoms of 3 to 50, a substituted or unsubstituted alkoxy group having carbon atoms of 1 to 50, a substituted or unsubstituted aralkyl group having carbon atoms of 6 to 50, a substituted or unsubstituted aryloxy group having carbon atoms of 5 to 50, a substituted or unsubstituted arylthio group having carbon atoms of 5 to 50, a substituted or unsubstituted alkoxycarbonyl group having carbon atoms of 1 to 50, a substituted or unsubstituted silyl group, a carboxyl group, a halogen atom, a cyano group, a nitro group or a hydroxyl group, and none of R 9 and R 10 is an alkenyl group; Ar 1, Ar 2, R 9 and R 10 each may be a plural number, and two neighboring groups thereof may form a saturated or unsaturated ring structure; and wherein A 1 is different from A 2, when A 1 is the same with A 2, (II-i) Ar 1 is different from Ar 2, or (II-ii) R 9 is different from R 10, and (II-iii) when Ar 1 and Ar 2 are the same with each other, and R 9 and R 10 are the same with each other, (II-iii-1) the bonding position of A 1 to 9th position of the anthracene ring is different from the bonding position of A 2 to 10th position of the anthracene ring, (II-iii-2) when both Ar 1 and Ar 2 are not hydrogen atoms, the bonding position of Ar 1 to A 1 is different from the bonding position of Ar 2 to A 2, and (II-iii-3) when both R 9 and R 2 are not hydrogen atoms, the bonding position of R 9 to A 1 is different from the bonding position of R 10 to A 2. A 1 is different from A 2, when A 1 is the same with A 2, (II-i) Ar 1 is different from Ar 2, or (II-ii) R 9 is different from R 10, and (II-iii) when Ar 1 and Ar 2 are the same with each other, and R 9 and R 10 are the same with each other, (II-iii-1) the bonding position of A 1 to 9th position of the anthracene ring is different from the bonding position of A 2 to 10th position of the anthracene ring, (II-iii-2) when both Ar 1 and Ar 2 are not hydrogen atoms, the bonding position of Ar 1 to A 1 is different from the bonding position of Ar 2 to A 2, and (II-iii-3) when both R 9 and R 2 are not hydrogen atoms, the bonding position of R 9 to A 1 is different from the bonding position of R 10 to A 2. (II-iii) when Ar 1 and Ar 2 are the same with each other, and R 9 and R 10 are the same with each other, (II-iii-1) the bonding position of A 1 to 9th position of the anthracene ring is different from the bonding position of A 2 to 10th position of the anthracene ring, (II-iii-2) when both Ar 1 and Ar 2 are not hydrogen atoms, the bonding position of Ar 1 to A 1 is different from the bonding position of Ar 2 to A 2, and (II-iii-3) when both R 9 and R 2 are not hydrogen atoms, the bonding position of R 9 to A 1 is different from the bonding position of R 10 to A 2.