Note that such comparison is meaningful only if the i-dependent term of Eq. 41 (N L) is negligibly small, as is the case for the neon atom. From Figure , we can see that 'MRF new' gives much more accurate σc,λ=1 L (r) than 'MRF UEG'. The former also builds a peak in σc,λ=1 L (r), which is necessary for the shell structure in the corresponding energy density. Also, at larger r, where the density becomes small, 'MRF UEG' over-correlates electrons (too large σ), while the F (r) part containing s(r) fixes this deficiency.