A complete product operator theory forIS(I = ½,S = 1) spin system and application to DEPT–HMQC NMR experiment

2D <i>J</i>–INEPT NMR Spectroscopy for CD<sub>n</sub> Groups: A Theoretical Study

“…As NMR is a quantum mechanical phenomenon, the product operator theory as a quantum mechanical method is widely used for the analytical description of multipulse NMR experiments on weakly coupled spin systems in liquids having spin-1 2 and spin-1 nuclei [7][8][9][10][11][12][13][14][15][16][17][18]. Analytical description of polarization transfer in INEPT experiment using product operator formalism has been presented for IS and IS 2 (I = 1/2 and S = 1) spin systems [12].…”

A Product Operator Theory of DEPTQ NMR Spectroscopy for ISn(I = 1/2; S = 1; n = 0, 1, 2, 3) Spin Systems

“…pulse, chemical shift and spin-spin coupling Hamiltonians can be easily obtained [8,10,11]. A complete product operator theory for weakly coupled IS (I = 1/2, S = 1) spin system have been presented in our previous studies [19,21]. At any time during the experiment, the ensemble averaged expectation value of the spin angular momentum, e.g.…”

“…It is necessary to obtain the Tr(I y O) values of observable product operators indicated by O. For the IS n (I = 1/2, S = 1; n = 1, 2, 3) spin systems, Tr(I y O) values of all observable product operators can be found elsewhere [19]. For the quaternary carbons Tr(I y I y ) = 1 2 and the magnetization is found as…”

“…The product operator theory as a quantum mechanical method is widely used for analytical description of multipulse NMR experiments on weakly coupled spin systems in liquids having spin-1/2, spin-1 and spin-3/2 nuclei [8][9][10][11][12][13][14][15][16][17][18][19][20][21]. This method not only allows the confirmation of experimental results but also offers to make some experimental suggestions on NMR experiments.…”

“…For CD n groups, product operator theory of 2D DEPT J-resolved NMR experiment is also investigated [15]. For weakly coupled IS (I = 1/2, S = 1) spin system, a complete product operator theory and application to DEPT-heteronuclear multiple quantum coherence (HMQC) NMR experiment has been presented in our study [19]. A product operator description of the DEPTQ experiment for IS n (I = 1/2, S = 1/2, n = 0, 1, 2, 3) spin systems have been presented [22].…”