N=50 max sqrt(min(j,n-j))*atom/log N = 0.3914 at j=23
N=100 max sqrt(min(j,n-j))*atom/log N = 0.3467 at j=50
N=200 max sqrt(min(j,n-j))*atom/log N = 0.3088 at j=100
N=300 max sqrt(min(j,n-j))*atom/log N = 0.2907 at j=149
N=400 max sqrt(min(j,n-j))*atom/log N = 0.2788 at j=200
