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It is shown that the energy spectrum of the pure vibrational levels of the molecule consisting of two atoms interacting with each other via the modified Rosen-Morse potential, the analytical expressions for the vibrational partition function and enthalpy of the diatomic molecule, obtained in the paper Prediction of enthalpy for nitrogen gas, M. Deng, C.S. Jia, Evr. Phys. J. Plus 133, 258 (2018), are incorrect.

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