A vanadium di-nuclear complex represented by the following general formula (1-3):wherein A1, A2, A3 and A4 each independently represent an oxygen atom, or NR11, and B1, B2, B3 and B4 each independently represent -O- or NR12-;R1, R2, R3, R4, R5, R6, R7 and R8 each independently represent a C1-30 hydrocarbon group optionally substituted by a C1-50 alkoxy, nitro, cyano or halogen group; or a C1-40 hydrocarbonoxy group optionally substituted by a C1-50 alkoxy, nitro, cyano or halogen group; R9 and R10 each independently represent a C 1-20 alkylene group optionally substituted by a C1-50 alkoxy, nitro, cyano or halogen group; or R9 and R10 represent a C6-60 arylene group optionally substituted by a C1-50 alkyl, C7-50 aralkyl, C1-50 alkoxy, nitro, cyano or halogen group; or R9 and R10 represent -O-, -S--SO2- or NR13-; and when R9 and R10 exist in a plural number respectively, they may be the same or different; m and n each independently represent an integer of 1 to 7; R11, R12 and R13 each independently represent a hydrogen atom or a C1-30 hydrocarbon group optionally substituted by a C1-50 alkoxy, nitro, cyano or halogen group; when R11, R12 and R13 exist in a plural number respectively, they may be the same or different; when both of A1 and A2 and/or both of A3 and A4 are together NR11 respectively, two R11s may combine to form a C1-20 divalent hydrocarbon group optionally substituted by a C1-30 hydrocarbon, C1-40 hydrocarbonxy, nitro, cyano or halogen group which connects A1 and A2 and/or A3 and A4 to each other; and when both of B1 and B2 and/or both of B3 and B4 are together -NR12- respectively, two R12s may combine to form a C1-20 divalent hydrocarbon group optionally substituted by a C1-30 hydrocarbon, C1-40 hydrocarbonxy, nitro, cyano or halogen group which connects B1 and B2 and/or B3 and B4 to each other.
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