36-phase cycling for two-pulse ±3Q-MAS

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Two-pulse MQ-MAS with 36-phase cycling

M. Hanaya and R. K. Harris [J. Phys. Chem. A, 101, 1903-1910 (1997)] solved the system of two equations for the receiver phase in the two-pulse, ±3Q-MAS sequence:
φrec = +3*φ1 - 2*φ2,
φrec = -3*φ1 + 4*φ2.

(1) 36-phase cycling

The solution to this is both pulse phases take six values: 0°, 60°, 120°, 180°, 240°, and 300°.

φ1 = 0° 60° 120° 180° 240° 300°
φ2 = {0°}X6  {60°}X6  {120°}X6  {180°}X6  {240°}X6  {300°}X6
φrec = {0° 180°}X3  {240° 60°}X3  {120° 300°}X3

Since the receiver phase takes values different from 0°, 90°, 180°, and 270°, this 36-phase cycling is applied scarcely [J. Skibsted and H. J. Jakobsen, J. Phys. Chem. A, 103, 7958-7971 (1999)].

(2) Simulation

We provide SIMPSON1.1.1 Tcl scripts for simulating the echo and antiecho amplitude versus a pulse duration:
(1) filtering the coherences,
(2) 36-phase cycling the pulses and the receiver.

Duration Filtering 36-phase cycling
1st-pulse na-filtering-p1 na-36-cycling-p1
2nd-pulse na-filtering-p2 na-36-cycling-p2

(3) Result

When the amplitudes are normalized to the number of phase cycling, these two approaches provide the same simulation data about echo and antiecho amplitude for spin I = 3/2, 5/2, and 7/2 systems.

 

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