Preprints
https://doi.org/10.5194/mr-2026-1
https://doi.org/10.5194/mr-2026-1
19 Feb 2026
 | 19 Feb 2026
Status: this preprint is currently under review for the journal MR.

Dual Bilinear Rotations

Yannik T. Woordes and Burkhard Luy

Abstract. Bilinear rotations imply differing rotations on a spin I depending on the presence or absence of a bilinear coupling Hamiltonian to a heteronucleus S. As such, spin system selective inversions using BIRD elements, excitations using TANGO, or general (effective) rotations using BANGO and/or BIG-BIRD, as well as multiplicity edited rotations are achievable. So far, the well-defined rotations were only imposed on a single spin, e.g. I, while the coupled heteronucleus experienced only an inversion or no rotation at all. Here, we introduce Dual Bilinear Rotations, that simultaneously allow spin system selective manipulations on both spins I and S as compared to the coupled spin system IS. Particularly with the advent of multi-receive experiments and/or supersequences with the necessity to excite and store specific spin systems in a flexible way, this may open new possibilities in pulse sequence design. A general derivation of the approach is given and a quadruple J-resolved type experiment for obtaining fully decoupled spectra optmized for different spin systems is introduced for demonstration.

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Yannik T. Woordes and Burkhard Luy

Status: open (until 19 Mar 2026)

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Yannik T. Woordes and Burkhard Luy
Yannik T. Woordes and Burkhard Luy
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Short summary
Dual bilinear rotations are introduced, which lead to well-defined rotations for both heteronuclear spins I and S that depend on the presence or absence of a (large) coupling between them. It is therefore an extension of conventional bilinear rotations, which cause such a spin-system-dependent rotation only for the spin I. A general derivation of the approach is given and a quadruple J-resolved type experiment is introduced for demonstration.
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