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A three-component reaction between the 1,4-benzenedicarboxylic (terephthalic) acid (H₂bdc), bis(1,2,4-triazol-1-yl)methane (btrm) and zinc nitrate was studied, and three new coordination polymers were isolated by a careful selection of the reaction conditions. Coordination polymers {[Zn₃(DMF)(btrm)(bdc)₃]·nDMF}_∞ and {[Zn₃(btrm)(bdc)₃]·nDMF}_∞ containing trinuclear {Zn₃(bdc)₃} secondary building units are joined by btrm auxiliary linkers into three-dimensional metal–organic frameworks. The coordination polymer {[Zn(bdc)(btrm)]∙nDMF}_∞ consists of Zn²⁺ cations joined by bdc²⁻ and btrm linkers into a two-fold interpenetrated network. Upon activation, MOF [Zn₃(btrm)(bdc)₃]_∞ demonstrated CO₂/N₂ adsorption selectivity with an ideal adsorbed solution theory (IAST) factor of 21. All three MOF demonstrated photoluminescence with a maximum near 435–440 nm upon excitation at 330 nm.