(a)–(c) Multipole decomposition in ZnO nanoellipsoids as a function of direction: (a) r _x  = 200 nm, r _y  = r _z  = 50 nm, (b) r _y  = 200 nm, r _x  = r _z  = 50 nm, (c) r _z  = 200 nm, r _x  = r _y  = 50 nm. (d) XY and XZ scattering planes of the second harmonic for previous cases; blue, red, and green color define the long axis of the ellipsoid in the x-, y- and z-direction, respectively. All polar plots are normalized to the maximum forward scattering of the x-oriented ellipsoid. (e) Second harmonic emitted in XY and XZ direction, averaged over the three orientations, and normalized to the maximum scattering in the forward direction.