Conventional DFT, due to its inability to capture the quantum nature of protons, fails to accurately describe the hydrogen-related vibrational modes. For PTMs, the frequency discrepancies can be as large as several hundred wavenumbers compared to experimental values. In contrast, CNEO accurately describes the hydrogen-related vibrational modes, even without any electron-proton correlations. For [A•H + •A] type clusters, multiple peaks are associated with proton transfer and the CNEO method effectively captures this feature.