where µ SMA and µ P is the transition dipole for a SMA or LSPR resonance on the CNP or plasmonic nanoparticle, respectively, and R is the separation vector between the particles. Clearly, multiple SMA resonances exist for each CNP, so we choose the resonance such that there is strong spectral overlap between the SMA resonance in the CNP and the plasmon resonance in the metal nanoparticle. In particular, we use Eq. 15 to compute the coupling strength between state |8 on CNP600 and the LSPR on gold, and the coupling strength between state |13 on CNP600 and the LSPR on silver. Choice of the resonance fixes the values of µ and γ, so the conditions for strong coupling can be evaluated once the relative geometry (and hence R) is specified. We compute the ratio 4V int γ SMA +γ P for a range of geometries where the plasmonic nanoparticles are displaced from the CNP by different separations and angles and plot these maps in Figures and in the main text and Figures S7 and S8 in the SI. Evaluating the maps of Eq. 15 for CNP600-Au and CNP600-Ag, the conditions for strong coupling ( 4V int γ SMA +γ P > 1) is predicted for both pairs at a variety of separations and configurations.