Nuclear magnetic resonance absorption involves energy transfer from a radiofrequency field to nuclear spins in a magnetic field, leading to spin system equilibrium at a finite temperature. Spin-lattice relaxation time $ T_1 $ measures the time required for the spin system to return to equilibrium after energy absorption. The spin-spin interaction contributes to the absorption line width, while $ T_1 $ is determined by the spin-lattice relaxation process. In liquids, $ T_1 $ typically decreases with increasing viscosity, reaching a minimum before increasing again. The line width increases monotonically with spin-spin interactions. The study investigates the effects of paramagnetic ions on proton relaxation time and line width in solutions and ice. The results are explained by a theory considering thermal motion effects on spin-spin interactions. The local magnetic field from neighboring nuclei or paramagnetic ions spreads into a spectrum, influencing the resonance line width. The relaxation time $ T_1 $ is inversely proportional to the correlation time $ \tau_e $, and the line width is about $ T_1 $ in frequency. The paper describes the experimental setup for measuring $ T_1 $ using a radiofrequency bridge and modulation of the magnetic field. The relaxation time $ T_1 $ is measured by observing the saturation effect, where the spin temperature rises and absorption decreases. The results show $ T_1 $ ranges from $ 10^{-4} $ to $ 10^2 $ seconds, with variations depending on the substance and temperature. The study also discusses the measurement of line width and relaxation time using different methods. The line width is determined by the magnetic field inhomogeneity and spin-spin interactions. The relaxation time $ T_1 $ is measured by observing the recovery from saturation, with the direct method showing $ T_1 $ values for distilled water, petroleum ether, and copper sulfate solutions. The saturation curve method is used to analyze the effect of saturation on the line width, with different cases depending on the modulation frequency and saturation parameter. The results demonstrate the importance of considering both spin-spin and spin-lattice interactions in understanding nuclear magnetic relaxation.Nuclear magnetic resonance absorption involves energy transfer from a radiofrequency field to nuclear spins in a magnetic field, leading to spin system equilibrium at a finite temperature. Spin-lattice relaxation time $ T_1 $ measures the time required for the spin system to return to equilibrium after energy absorption. The spin-spin interaction contributes to the absorption line width, while $ T_1 $ is determined by the spin-lattice relaxation process. In liquids, $ T_1 $ typically decreases with increasing viscosity, reaching a minimum before increasing again. The line width increases monotonically with spin-spin interactions. The study investigates the effects of paramagnetic ions on proton relaxation time and line width in solutions and ice. The results are explained by a theory considering thermal motion effects on spin-spin interactions. The local magnetic field from neighboring nuclei or paramagnetic ions spreads into a spectrum, influencing the resonance line width. The relaxation time $ T_1 $ is inversely proportional to the correlation time $ \tau_e $, and the line width is about $ T_1 $ in frequency. The paper describes the experimental setup for measuring $ T_1 $ using a radiofrequency bridge and modulation of the magnetic field. The relaxation time $ T_1 $ is measured by observing the saturation effect, where the spin temperature rises and absorption decreases. The results show $ T_1 $ ranges from $ 10^{-4} $ to $ 10^2 $ seconds, with variations depending on the substance and temperature. The study also discusses the measurement of line width and relaxation time using different methods. The line width is determined by the magnetic field inhomogeneity and spin-spin interactions. The relaxation time $ T_1 $ is measured by observing the recovery from saturation, with the direct method showing $ T_1 $ values for distilled water, petroleum ether, and copper sulfate solutions. The saturation curve method is used to analyze the effect of saturation on the line width, with different cases depending on the modulation frequency and saturation parameter. The results demonstrate the importance of considering both spin-spin and spin-lattice interactions in understanding nuclear magnetic relaxation.