Cross-polarization (nuclear magnetic resonance) transfers nuclear spin nuclear spin polarization between different nuclear populations, commonly from abundant hydrogen nuclei to dilute carbon-13 nuclei in a solid. Applied radio frequency fields bring the two spin populations into a condition that permits polarization exchange through magnetic dipolar coupling.[ref]
For on-resonance spin locking, an ideal matching condition is , where is the gyromagnetic ratio and is the applied transverse field amplitude for each population. The fields match motion in the respective rotating frames, even though the nuclei have different laboratory resonance frequencies. This can enhance a weak carbon signal, but intensity also depends on transfer and relaxation, so peak areas need not directly count atoms without further controls.[ref]

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