Abstract Cocrystallizations of diboronic acids [1,3‐benzenediboronic acid (1,3‐bdba), 1,4‐benzenediboronic acid (1,4‐bdba) and 4,4’‐biphenyldiboronic acid (4,4’‐bphdba)] and bipyridines [1,2‐bis(4‐pyridyl)ethylene (bpe) and 1,2‐bis(4‐pyridyl)ethane (bpeta)] generated the hydrogen‐bonded 1 : 2 cocrystals [(1,4‐bdba)(bpe)2] (1), [(1,4‐bdba)(bpeta)2] (2), [(1,3‐bdba)(bpe)2(H2O)2] (3) and [(1,3‐bdba)(bpeta)2(H2O)] (4), wherein 1,3‐bdba involved hydrated assemblies. The linear extended 4,4’‐bphdba exhibited the formation of 1 : 1 cocrystals [(4,4'‐bphdba)(bpe)] (5) and [(4,4'‐bphdba‐me)(bpeta)] (6). For 6, a hemiester was generated by an in‐situ linker transformation. Single‐crystal X‐ray diffraction revealed all structures to be sustained by B(O)−H⋅⋅⋅N, B(O)−H⋅⋅⋅O, Ow−H⋅⋅⋅O, Ow−H⋅⋅⋅N, C−H⋅⋅⋅O, C−H⋅⋅⋅N, π⋅⋅⋅π, and C−H⋅⋅⋅π interactions. The cocrystals comprise 1D, 2D, and 3D hydrogen‐bonded frameworks with components that display reactivities upon cocrystal formation and within the solids. In 1 and 3, the C=C bonds of the bpe molecules undergo a [2+2] photodimerization. UV radiation of each compound resulted in quantitative conversion of bpe into cyclobutane tpcb. The reactivity involving 1 occurred via 1D‐to‐2D single‐crystal‐to‐single‐crystal (SCSC) transformation. Our work supports the feasibility of the diboronic acids as formidable structural and reactivity building blocks for cocrystal construction.
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A 1D Gaussian Function for Efficient Generation of Plane Waves in 1D, 2D, and 3D FDTD
A 1D Gaussian expression is derived and used as the 1D E/H incident field in the TF/SF formulation to efficiently generate plane waves in 1D, 2D, and 3D FDTD simulations. The analytic expression is simple, and it eliminates the need for computational resources to store and compute the E/H-field incident arrays and their associated absorbing boundaries. FDTD simulation results at the magic time-step in 1D, 2D, and 3D FDTD show good correlation between plane waves generated by the 1D analytic Gaussian function vs. those generated by 1D FDTD incident arrays.
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- Award ID(s):
- 1816542
- PAR ID:
- 10282577
- Date Published:
- Journal Name:
- 2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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