where 〈𝐼𝐼〉 is the Boltzmann averaged Raman intensity for a Cu dimer type (e.g., IV), 𝐼𝐼 𝑖𝑖 is the simulated spectra of the i th local minimum within that dimer type (e.g., IV-1), 𝑘𝑘 B is the Boltzmann constant, Ei is the energy spectra of the i th local minimum within that type, and T is the temperature. Figure reports the computed spectra for each Cu dimer and local minima. All unique local minima structures used to compute frequencies are provided in the SI, Section S7.