Explore chapters and articles related to this topic
Deployment, Patrolling, and Foraging
Published in Yasmina Bestaoui Sebbane, Intelligent Autonomy of Uavs, 2018
In 2-D space scenarios, the maximal coverage problem can be mapped to a circle packing formulation. The problem turns into the sphere packing problem in 3-D and the strategies designed for 2-D become NP-hard in 3-D. The problem of coverage in 3-D space is often a critical part of the scenario for the observation of an environment. The number of nodes and their locations are restricted by the investigated environment and the reception range of node. Moreover, the dynamic UAV network topology and flight must be handled efficiently considering the communication constraints of the UAVs. In [9], a node positioning strategy for UAV networks is proposed with a wireless sensor and actor network structure according to different capabilities of the nodes in the network. The positioning algorithm utilizes the Valence shell electron pair repulsion (VSEPR) theory of chemistry, based on the correlation between molecular geometry and the number of atoms in a molecule. By using the rules of VSEPR theory, the actor nodes in the proposed approach use a lightweight and distributed algorithm to form a self-organizing network around a central UAV, which has the role of the sink.
A VSEPR-inspired force field for determining molecular properties of PF5
Published in Molecular Physics, 2019
Laura M. McCaslin, John F. Stanton
Valence Shell Electron Pair Repulsion (VSEPR) theory was introduced by Gillespie and Nyholm in 1957 to qualitatively predict the structures of inorganic molecules [1]. In this theory, electron pairs (corresponding to either sigma bonding or lone pair electrons) in the valence shell of an atom are driven away from each other mainly by ‘Pauli repulsion’, which prevents electrons of the same spin from occupying the same region of space and exists even in the absence of electron correlation. When represented by localised orbitals, interactions between these electron pairs lead to the idea that molecular structures of molecules with a central atom and m ligands (AX type) can be understood on simple geometric grounds: ligands arrange themselves in such a way to minimise these repulsive interactions. The simplicity and predictive power of VSEPR theory in determining molecular geometries is a key reason for its central role in introductory chemistry courses for developing chemical intuition.