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Explicitly correlated variational estimates of the energy levels of negative hydrogen ion under spatial confinement
Abstract:Comprehensive investigations on the structural modifications of negative hydrogen ion within an impenetrable spherical domain has been performed in the framework of Ritz variational method. Electron correlation plays a major role in the formation of H ion. The Hylleraas‐type basis set expansion of wave function considered here incorporates the effect of electron correlation in an explicit manner. Energy values of urn:x-wiley:00207608:media:qua25597:qua25597-math-0001 and 1sn urn:x-wiley:00207608:media:qua25597:qua25597-math-0002 states urn:x-wiley:00207608:media:qua25597:qua25597-math-0003 of H ion within confined domain have been calculated. Although the singly excited states do not exist for a “free” H ion, well converged energy values of such states have been found within a wide range of confinement radius. The thermodynamic pressure felt by the ion inside the sphere is also estimated. The general trend shows successive destabilization of the excited energy levels with increase of pressure. The contribution of angular correlation in the energy values have been estimated. Evolution of urn:x-wiley:00207608:media:qua25597:qua25597-math-0004 and urn:x-wiley:00207608:media:qua25597:qua25597-math-0005 energy levels of H ion as quasi‐bound states are being reported.
Keywords:confinement  electron correlation  negative hydrogen ion  variational method
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