Within the framework of dielectric continuum mode (DCM), random-element isodisplacement model (REIM) and standard quantization procedure, the electron-interface-phonon interactions and its ternary effects in ZnS/CdxZn1-xS core-shell heterostructures are investigated. The dispersion curves, the electron-phonon couplings and its ternary mixed crystal effects of interface optical (IO) phonons in ZnS/CdxZn1-xS core-shell heterostructures are calculated and discussed in detail. The results indicate that the IO phonons are more dispersive in low quantum number. With the increase of the cadmium element concentration, the IO phonon frequencies decrease linearly in high frequency range (HF-range), and decreases non-linearly in low frequency range (LF-range). The numerical results also indicate that the IO phonons with lower quantum number play a significant role in electron-phonon interactions. The electron-phonon coupling strengths increase linearly in HF-range, and increase non-linearly in LF-range with the increasing cadmium element concentration. The IO phonons in HF-range have prominent contributions to electron-phonon interactions.Within the framework of dielectric continuum mode (DCM), random-element isodisplacement model (REIM) and standard quantization procedure, the electron-interface-phonon interactions and its ternary effects in ZnS/CdxZn1-xS core-shell heterostructures are investigated. The dispersion curves, the electron-phonon couplings and its ternary mixed crystal effects of interface optical (IO) phonons in ZnS/CdxZn1-xS core-shell heterostructures are calculated and discussed in detail. The results indicate that the IO phonons are more dispersive in low quantum number. With the increase of the cadmium element concentration, the IO phonon frequencies decrease linearly in high frequency range (HF-range), and decreases non-linearly in low frequency range (LF-range). The numerical results also indicate that the IO phonons with lower quantum number play a significant role in electron-phonon interactions. The electron-phonon coupling strengths increase linearly in HF-range, and increase non-linearly in LF-range with the incr...