Low connectivity (four-or three-connectivity) of the basic structural building block is closely associated with the open architecture and porosity in 3D framework materials. The synthetic development of low-connectivity frameworks with new composition and topology continues to attract much attention, because applications of such materials depend on the unique composition or topology of each material. [1][2][3][4][5][6] Currently, the synthesis of metal-organic frameworks (MOFs) is an active research area. [1,7] The vast majority of new microporous materials synthesized in the past decade belong to this family. [8][9][10][11][12][13] Among numerous known MOFs, a family of materials that closely resemble zeolite topologies, are those based on divalent metal (M 2+ ) imidazolates (im À ) in which M 2+ and im À ions replace zeolite Si 4+ (Al 3+ ) and O 2À ions, respectively, resulting in the general framework composition [M(im) 2 ], just like SiO 2 . [8][9][10][11] The success in generating new zeolitic topologies is attributed to structure-directing effects of imidazolate ligands and other conditions, such as solvents.Herein we demonstrate a versatile synthetic method capable of generating a large family of low-connectivity framework materials. This method is based on the crosslinking of various presynthesized boron imidazolate complexes with monovalent cations (e.g., Li + and Cu + ) into extended frameworks. One advantage of this method is that it allows the use of ultralight chemical elements (i.e., Li and B) as framework vertices. Furthermore, unlike the zinc imidazolate system, in which it is difficult to presynthesize threeconnected Zn(im) 3 À units, both four-connected B(im) 4 À and three-connected HB(im) 3 À can be readily synthesized prior to solvothermal synthesis (Scheme 1), thus further increasing the diversity of materials accessible through this method. For the creation of four-connected topologies, our strategy is reminiscent of the strategy that led to the discovery of microporous AlPO 4 by analogy with porous silica. [2] Just as Al 3+ and P 5+ ions can replace two Si 4+ sites in a porous silicalite, Li + and B 3+ ions can replace two Zn 2+ sites in a [Zn(im) 2 ] framework.A total of eleven boron imidazolate framework materials have been made (Table 1). In addition to four-connected topologies, three-connected and mixed (3,4)-connected 3D framework topologies have also been realized. These materials exhibit eight distinct topological features (Table 1). Three particularly interesting materials are the unprecedented fourconnected framework materials (BIF-1-Li, BIF-2-Li, and BIF-3-Li) based on the lightest possible tetrahedral nodes in the Periodic Table, Li and B (excluding Be, which is not studied herein because of its toxicity).BIF-1-Li exhibits a 3D tetrahedral framework in which each Li + or B 3+ ion is connected to four imidazolyl ligands to create a SiO 4 -like tetrahedron (i.e., Li(im) 4 or B(im) 4 ; Figure 1 a). Each im À linker bridges one Li + center and one B 3+ center, with Li···B distances ...