The de Broglie-Bohm ontological interpretation of quantum theory [1,2] clarifies the understanding of many otherwise counter-intuitive quantum mechanical phenomena. We report here on an application of Bohm's quantum potential to the bonding and reactivity of small molecules. In the field of quantum chemistry, Bader has shown[3] that the topology of the Laplacian of the electronic charge density characterizes many features of molecular structure and reactivity. Examination of high accuracy abinitio solutions for several small molecules suggests that the Laplacian of Bader and the quantum potential of Bohm are structurally equivalent.It is possible that Bohmian mechanics using the quantum potential can make quantum chemistry as clear as it makes non-relativistic quantum mechanics.

It is well known that every Eulerian orientation of an Eulerian 2k-edge connected (undirected) graph is strongly k-edge connected. A long-standing goal in the area is to obtain analogous results for other types of connectivity, such as node connectivity and element connectivity. We show that every Eulerian orientation of the hypercube of degree 2k is strongly k-node connected.

Molecular nanotechnology is the future capability to design and build systems to atomic precisions. This paper motivates the desire of molecular nanotechnology for space exploration with a review of potential benefits, and reviews relevant progress to date for molecular nanotechnology. It provides a framework of challenges that need to be resolved before molecular nanotechnology can be applied to space systems, with discussion on addressing those challenges. The primary focus is in the area of developing tools for automated design of molecular components, using molecular connector components as an example, and in developing tools for generating reaction pathways to fabricate molecular components that can integrate with tools for developing molecular components. The secondary focus is issues for the molecular fabrication system, including integration with the design of end product space systems. Nomenclature δ = material density σ = material strength ∆V = change in velocity

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