Investigating the static dipole polarizability of noble-gas atoms confined in impenetrable spheres and shells

The static dipole polarizability of noble-gas atoms confined by impenetrable spheres and spherical shells is studied using the $B$-spline random phase approximation with exchange. The general trend in dipole polarizabilities across the noble-gas sequence shows a decrease in the dipole polarizability as the volume of the confining impenetrable sphere is reduced and a large increase in the dipole polarizability for confinement by impenetrable spherical shells as the inner-shell radius is increased.

Figure 1

Static dipole polarizabilities of the noble-gas sequence as a function of the confining potential radius. Solid line with circles, helium; dotted line with squares, neon; dashed line with diamonds, argon; dot-dashed line with triangles, krypton; dot-dash-dashed line with plus signs, xenon.

Figure 2

Static dipole polarizabilities of helium as a function of the confining potential radius. Solid line with circles, present results; dotted line, HF [32] (digitized using g3data [54]); dashed line, TDDFT [35] (digitized using g3data [54]); dot-dashed line, DFT (EXX) [20]; dot-dashed-dashed line, DFT (XO-LDA) [20]; dot-dot-dashed line, DFT (XC-LDA) [20].

Figure 3

Static dipole polarizabilities of neon as a function of the confining potential radius. Solid line with circles, present results; dotted line, [32] (digitized using g3data [54]); dashed line, [35] (digitized using g3data [54]).