Z-filter 5Q-MAS with 40-phase cycling

Two approaches:
(1) filtering the coherences,
(2) explicit phase cycling the pulses and the receiver,
are used for the simulation of echo and antiecho amplitude in ±5Q-MAS of spin I = 5/2 system. The sequence consists of two strong amplitude pulses followed by a weak amplitude pulse.

(1) 40-phase cycling the second and the third pulses

φ1 =	0°
φ2 =	0° 36° 72° 108° 144° 180° 216° 252° 288° 324°
φ3 =	{0°}X10  {90°}X10  {180°}X10  {270°}X10
φrec =	{0° 180°}X5   {90° 270°}X5    {180° 0°}X5   {270° 90°}X5

This 40-phase cycling selects the three families of coherence transfer pathways:

1. 0Q -> -1Q -> +4Q -> -1Q,
2. 0Q -> +1Q -> -4Q -> -1Q,
3. 0Q -> ±5Q -> +0Q -> -1Q (the desired coherence transfer pathways),

as shown in the following figure. Family a is yellow pathway, family b is brown pathway, and family c is red pathways:

(2) Simulation

We provide SIMPSON2 Tcl scripts for simulating the echo and antiecho amplitude versus a pulse duration:
(1) filtering the coherences (a Tcl script is associated with each family),
(2) 40-phase cycling the pulses and the receiver.

Duration	Filtering	40-phase cycling
1st-pulse	al-40p2p3-filt-p1a al-40p2p3-filt-p1b al-40p2p3-filt-p1c a + b + c: total-p1	al-p2p3-cycl-p1
2nd-pulse	al-40p2p3-filt-p2a al-40p2p3-filt-p2b al-40p2p3-filt-p2c a + b + c: total-p2	al-p2p3-cycl-p2
3rd-pulse	al-p2p3-filt-p3a al-p2p3-filt-p3b al-p2p3-filt-p3c a + b + c: total-p3	al-p2p3-cycl-p3