The finite-pulse radio frequency driven dipolar recoupling (fp-RFDR)
pulse sequence is used in 2D homonuclear chemical shift correlation experiments
under magic angle spinning (MAS). A recent study demonstrated the advantages of
using a short phase cycle, XY4, and its super-cycle,
XY414, for the fp-RFDR pulse sequence employed in 2D
1H/1H single-quantum/single-quantum correlation
experiments under ultrafast MAS conditions. In this study, we report a
comprehensive analysis on the dipolar recoupling efficiencies of XY4,
XY412, XY413,
XY414, and XY814 phase cycles
under different spinning speeds ranging from 10 to 100 kHz. The theoretical
calculations reveal the presence of second-order terms
(T10T2,±2,
T1,±1T2,±1,
etc.) in the recoupled homonuclear dipolar coupling Hamiltonian only when the
basic XY4 phase cycle is utilized, making it advantageous for proton-proton
magnetization transfer under ultrafast MAS conditions. It is also found that the
recoupling efficiency of fp-RFDR is quite dependent on the duty factor
(τ180/τR) as well as on the strength
of homonuclear dipolar couplings. The rate of longitudinal magnetization
transfer increases linearly with the duty factor of fp-RFDR for all the XY-based
phase cycles investigated in this study. Examination of the performances of
different phase cycles against chemical shift offset and RF field in homogeneity
effects revealed that XY414 is the most tolerant phase
cycle, while the shortest phase cycle XY4 suppressed the RF field inhomogeneity
effects most efficiently under slow spinning speeds. Our results suggest that
the difference in the fp-RFDR recoupling efficiencies decreases with the
increasing MAS speed, while ultrafast (>60 kHz) spinning speed is
advantageous as it recouples a large amount of homonuclear dipolar couplings and
therefore enable fast magnetization exchange. The effects of higher-order terms
and cross terms between various interactions in the effective Hamiltonian of
fp-RFDR are also analyzed using numerical simulations for various phase cycles.
Results obtained via numerical simulations are in excellent agreement with
ultrafast MAS experimental results from the powder samples of glycine and
L-alanine.