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Solvothermal reaction of a dendritic hexacarboxylic acid with Tb(NO3)3·6H2O afforded a mesoporous lanthanide–organic framework (UTSA-61) whose single-crystal X-ray structure was characterized to have octahedral cages of 2.4 nm in diameter. This mesoporous MOF not only exhibits novel hey topology, but also maintains permanent porosity as shown in its N2, H2, CO2 and CH4 gas sorption isotherms.