Product operator theory for spin-3/2 nuclei and application to 2D J-resolved NMR spectroscopy

Product operator descriptions of INEPT and RINEPT NMR spectroscopies for ISn (I=1/2, S=3/2) spin systems

“…To describe the INEPT and reverse INEPT (RIN-EPT) NMR experiments by using product operator formalism for weakly coupled IS (I ¼ 1=2, S ¼ 3=2) spin systems we consider that the spin multiplicity of I can be decomposed into in-phase and anti-phase coherence with the inner and outer transitions of multiplet [7,11]. For the evolutions of product operators under spin-spin coupling Hamiltonian it is convenient to use the wellknown Hausdorff formula [21].…”

“…Then, the evolutions of I x , I y , I x S z , and I y S z product operators under the spin-spin coupling Hamiltonian can be written as [11]:…”

“…The product operator formalism has been used for weakly coupled IS (I ¼ 1=2; S ¼ 1=2, 1, and 3/2) spin systems [7,[9][10][11][12]. The polarization transfer (PT) between spin-1/2 nuclei in an INEPT pulse sequence has been described by using product operator theory [13].…”

Product operator descriptions of the 2D DEPT J-resolved NMR experiment for weakly coupled ISn (, ; n=1, 2, 3) spin systems

“…Likewise, the product operator theory of the 2D DEPT J -resolved NMR experiment for weakly coupled I S n (I = 1 2 , S = 1; n = 1, 2, 3) spin systems has been reported [22]. In our previous studies, analytical descriptions of some NMR experiments have been presented using the product operator theory for weakly coupled I S n (I = 1 2 , S = 3 2 , 5 2 ; n = 1, 2, 3) spin systems [23][24][25][26][27][28].…”

Product Operator Theory for Spin‐5/2 Nuclei: Application to 2D J‐Resolved NMR Spectroscopy

“…[3,4] For the spins S > 1/2, the product operator theory has been extended to spin-1/2 J-weakly coupled to spin-1 nuclei. [7] The use of product operator theory to describe multi-pulse NMR experiments for the nuclei of spin S = 5/2 is rarely and briefly discussed in the literature. [7] The use of product operator theory to describe multi-pulse NMR experiments for the nuclei of spin S = 5/2 is rarely and briefly discussed in the literature.…”