Symmetry properties of the lowest non-zero spherical multipole moments of water molecule. Shown are the corresponding charge distributions. From left to right: coordinate system; a dipole, p; a linear quadrupole, Q0; a square quadrupole, Q2; a linear octupole, Ω0, and a cubic octupole, Ω2. These moments are related to the Cartesian components of the traceless multipole moments of water molecule as Q0
=
Qzz, Q2
= 1/2 (Qyy − Qxx), Ω0
= Ωzzz, Ω2
= 1/2 (Ωyyz − Ωxxz).31