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<p>The computational modeling of molecules under high pressure is a growing research
area that augments experimental high-pressure chemistry. Here, a new electronic structure method for modeling atoms and molecules under pressure, the <i>Gaussians On Sur</i><i>ace Tesserae Simulate HYdrostatic Pressure</i> (GOSTSHYP) approach, is introduced. In
this method, a set of Gaussian potentials is distributed evenly on the van der Waals surface of the investigated chemical system, leading to a compression of the electron density
and the atomic scaffold. Since no parameters other than the pressure need to be specified, GOSTSHYP allows straightforward geometry optimizations and <i>ab initio</i> Molecular Dynamics simulations of chemical systems under pressure for non-expert users.
Calculated energies, bond lengths and dipole moments under pressure fall within the
range of established computational methods for high-pressure chemistry. A Diels-Alder
reaction and the cyclotrimerization of acetylene showcase the ability of GOSTSHYP
to model pressure-induced chemical reactions. The connection to mechanochemistry is
pointed out. </p>
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