Analytical calculation of the solvent‐accessible surface area and its nuclear gradients by stereographic projection: A general approach for molecules, polymers, nanotubes, helices, and surfaces
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DOI: 10.1002/jcc.26191
Abstract: In this article, we explore an alternative to the analytical Gauss–Bonnet approach for computing the solvent‐accessible surface area (SASA) and its nuclear gradients. These two key quantities are required to evaluate the nonelectrostatic contribution to… read more here.
Keywords: solvent accessible; nuclear gradients; stereographic projection; calculation ... See more keywords
Dirac equation from stereographic projection of the momentum sphere
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DOI: 10.1088/1361-6404/acdb0e
Abstract: The Dirac equation is commonly demonstrated under stringent hypotheses and after considerable math work made in relativistic quantum mechanics and quantum field theory. Here, a purely geometric approach free from hypotheses is suggested. The suggestion… read more here.
Keywords: equation; stereographic projection; dirac equation; mechanics ... See more keywords
Magnon band structure of skyrmion crystals and stereographic projection approach
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DOI: 10.1103/physrevb.105.024422
Abstract: Using semiclassical method combined with stereographic projection approach, we investigate the magnetic dynamics of the skyrmion crystal (SkX), formed in planar ferromagnet with both Dzyaloshinskii-Moriya interaction and uniform magnetic field. The topologically non-trivial ground state… read more here.
Keywords: stereographic projection; projection; magnon band; projection approach ... See more keywords
Changing the Angle of Vision: Astrolabe Dials on Astronomical Clocks
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DOI: 10.1163/15700674-12342253
Abstract: From the middle of the fourteenth century until the Early Modern period, several monumental astronomical clocks were erected in Europe, and on many of them astrolabe dials were placed. On a group of earlier clocks,… read more here.
Keywords: astrolabe dials; stereographic projection; changing angle; astronomical clocks ... See more keywords