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Summary The first catalytic asymmetric synthesis of N–N axially chiral compounds has been accomplished via a quinidine catalyzed N-allylic alkylation reaction. These N–N axially chiral frameworks are a new addition to the families of axially chiral molecules and to the atropisomerism involving heteroatom(s), e.g., N, O, and S. The reaction takes place smoothly under mild conditions and displays excellent functional group tolerance, allowing facile access to a variety of N–N axially chiral 1-aminopyrroles and 3-aminoquinazolinones in high yields and excellent enantioselectivities. DFT calculations have been applied to understand the origin of enantioselectivity and provide guidance for the design of additional molecules of this type. The investigation of N–N axis atropisomerism holds promise for new discoveries in medicinal chemistry and asymmetric catalysis.

Using three design fields we develop an optimization environment that can simultaneously optimize material, shape and topology. We use the implicit representation of the boundaries with level-set functions that define the shape and topology. Differentiable R-functions allow us to combine these shapes and topology descriptions with Boolean operations. Additionally, we incorporate design dependent-stiffness materials with another design field. Notably, this framework accommodates design dependent loads, has the ability to introduce holes, and ensures the satisfaction of optimality criteria. It builds upon the fictitious domain, ersatz material, material interpolation and level-set methods. It also borrows from parameterized density-based topology optimization methods. Since analytical sensitivities can be computed, we use efficient nonlinear programming algorithms to update the design instead of the Hamilton–Jacobi’s scheme of level-set methods. We illustrate the features of our framework by designing a cantilever beam with octet truss microlattice, a dam with design-dependent loads, and a composite clevis plate.