THE potential development of optoelectronic devices based on the nonlinear polarization of molecular materials has aroused much recent interest1,2. The search for large second-order electric susceptibilities (that is, proportional to the square of an applied electric field) has concentrated on acentric organic or organometallic chromophores with an organic pi-electron system coupling electron donor and acceptor groups3-6. It is conceivable that mixed-valence compounds characterized by an intervalence charge-transfer (IVCT) transition7, in which the donor and acceptor centres are both metal atoms, might also have the potential to provide a large second-order response8, but this possibility has not been widely explored. Here we report the first hyperpolarizability, beta, of a bimetallic complex ion, [(CN)5Ru-mu-CN-Ru(NH3)5]- (I in Fig. 1), and a novel organometallic analogue, [(eta5-C5H5)Ru(PPh3)2-mu-CN-Ru(NH3)5]3+ (II). Measurements of beta (which is related to the bulk second-order response) in solution at a wavelength of 1,064 nm using the newly developed hyper-Rayleigh scattering technique9,10 give values greater than 10(-27) e.s.u., which are among the largest reported for solution species. The ease with which the energy of the IVCT transition can be modified suggests that there may be considerable potential for this class of chromophore in nonlinear optical devices.