In recent years, elementary quantum optical structures, called photonic molecules (PMs), have been carefully studied both experimentally and theoretically [1, 2]. There structures are formed from high quality factor solid-state microresonators (MR). These devices may be integrated with singlephoton sources that generate and guide photon flows in a system and high-sensitivity detectors that fix the arrival of a photon and, preferably, its polarization [3]. As for the element base for quantum computation, the main effort of scientists is now focused on the search for the optimal geometry of a solidstate photonic chip [4]. Here, we propose the design of three-unit PM optimized to obtain good transport and dissipation properties. To design PM supporting optical-band frequencies, one uses photon cells with geometric dimensions on the order of a few microns. MRs supporting whispering gallery modes (e.g. microrings) can form quasi-one-dimensional optical structures. We optimize diamond microring parameters calculating the eigenfrequencies and the electrical field distributions of the single microring in a broad range of inner and outer radii as well as thicknesses. Analytical consideration of the PM-system composed of three MRs is given within the formalism of tight-binding phenomenological Hamiltonian: 3 2 H  k  i k  akak   Jk,k1 akak1  ak1ak , (1) k1 k1 where  k is the mode frequency of the k-th MR (k = 1 - 3), ak and ak are creation and annihilation operators of photons, respectively, Jk,k 1 is a coefficient of photon hopping between the MRs,  k is a rate of energy dissipation of the MR mode. Provided that k  and Jk,k1  J each mode of the single MR splits into three ones of PM with frequencies PM1,3   2J , PM 2  . The electric field profile of PM for the eigenfrequencies PM1,3 has antinodes located along the edge of each ring.