Basin properties.

1. basin volume V(Ω_i) = ∫_Ωi ρ(r)dr, for ELF ≥ 0.02
2. basin population ―N(Ω_i) = ∫_Ωi ρ(r)dr.
3. αβ pair population ―Π^αβ(Ω_i, Ω_i) = ∫_Ωi∫_Ωiπ^αβ(r, r′) drdr′.
4. αα pair population ―Π^αα(Ω_i, Ω_i) = ∫_Ωi∫_Ωiπ^αα(r, r′) drdr′.
5. ββ pair population ―Π^ββ(Ω_i, Ω_i) = ∫_Ωi∫_Ωiπ^ββ(r, r′) drdr′.
6. variance 〈σ²(Ω_i)〉 = ∫_Ωi∫_Ωiπ(r, r′)drdr′+ ―NΩ_i −―N²(Ω_i).
7. standard deviation σ(Ω_i) = √{σ²(Ω_i)}
8. integrated spin density S_z(Ω_i) = [1/2]∫_Ωi (ρ^α(r) −ρ^β(r))dr.
9. condensed Fukui functions f⁺, f⁰, f⁻
   To get condensed Fukui set IOP(99/18=1) in Gaussian03 input file