Nuclear spins’ dipolar order is created under magic angle spinning through the first-order process made possible by simultaneous implementation of dipolar recoupling and adiabatic demagnetization in a reference frame reached out through nested transformations, first from the laboratory frame into the rotating frame, and then into the spin coordinate system nutating inside its parent frame. In such a nutating frame, both the static and resonantly rotating radio-frequency (rf) fields are invisible, and the reintroduced dipolar interaction provides a secular eigenstate on which dipolar order develops with assist of an additional portion of rf field designed to implement adiabatic demagnetization in the nutating frame.

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• Spin dynamics
• Adiabatic demagnetization
• Nuclear magnetic resonance