Eliashberg-McMillan Parameters of Polysulfur Nitride, (SN)$_{x}$

Thirty-seven years following the discovery of superconductivity in polysulfur nitride, (SN)$_{x}$ remains the lone conducting polymer exhibiting this phenomenon. The transition temperature is only 0.3 -- 0.4 K, and details of its origin remain largely unknown, although it very likely arises from conventional phonon-mediated BCS pairing of normal state carriers. In pursuit of such a possible mechanism, we have performed density functional theory (DFT) investigations of the phonon and electron-phonon dispersion relationships in (SN)$_{x}$, and will present values for the coupling strength of the latter along with an estimate of T$_{C}$.