Composites including VO 2 -based thermochromic nanoparticles are able to combine high luminous transmittance T lum with a significant modulation of the solar energy transmittance DT sol at a "critical" temperature in the vicinity of room temperature. Thus nanothermochromics is of much interest for energy efficient fenestration and offers advantages over thermochromic VO 2 -based thin films. This paper presents calculations based on effective medium theory applied to dilute suspensions of core-shell nanoparticles and demonstrates that, in particular, moderately thin-walled hollow spherical VO 2 nanoshells can give significantly higher values of DT sol than solid nanoparticles at the expense of a somewhat lowered T lum . This paper is a sequel to a recent publication [S.-Y. Li, G. A. Niklasson, and C. G. Granqvist, J. Appl. Phys. 108, 063525 (2010)].