# al-split-t1-5Q-echo-160-phase-cycling-p2.in

# oQ -> -5Q -> 1Q -> -1Q
# approach: 160-phase cycling the first pulse, the third pulse and the receiver

# spin-5/2 echo amplitude optimization
# versus the second-pulse duration
# in three-pulse split-t1 phase-modulated 5Q-MAS sequence,
# the first-pulse duration p1 = 13.5 micro seconds
# the third-pulse duration p3 = 2 micro seconds

spinsys {
  channels 27Al
  nuclei   27Al
  quadrupole 1 1 3e6 1 0 0 0
}

par {
  spin_rate        5000
  variable tsw     0.25
  sw               1.0e6/tsw
  np               34
  crystal_file     rep10
  gamma_angles     10
  proton_frequency 800e6
  start_operator   I1z
  detect_operator  I1c
  verbose          1101
  variable rf      90000
  variable rf3     90000
  variable p1      13.5 
  variable p3      2 
  variable N1      20
  variable N3      8
  variable deltap1 5
  variable deltap3 2
}

proc pulseq {} {
  global par
  maxdt $par(tsw)

  pulse  $par(p1) $par(rf) $par(ph1)
  store 10

  reset
  acq $par(ph31)
  for {set i 1} {$i < $par(np)} {incr i} {
    reset
    prop 10
    pulse [expr ($i)*$par(tsw)] $par(rf)  x
    pulse $par(p3)              $par(rf3) $par(ph3)
    acq             [expr $par(ph31) - 90]
  }
}

proc main {} {
  global par

  for {set j1 0} {$j1 < $par(N1)} {incr j1} {
    set par(ph1)   [expr $j1*360./$par(N1)]
    for {set j3 0} {$j3 < $par(N3)} {incr j3} {
      set par(ph3)   [expr $j3*360./$par(N3)]
      set par(ph31)  [expr $par(deltap1)*$par(ph1) + $par(deltap3)*$par(ph3) ]

      set g [fsimpson]
      if [info exists f] {
        fadd $f $g
        funload $g
      } else {
        set f $g
      }
    }
  }

  fsave $f $par(name).fid
  funload $f
  puts "Larmor frequency (Hz) of 27Al: "
  puts [resfreq 27Al $par(proton_frequency)]
}

# SIMP
# NP=17
# SW=4000000
# TYPE=FID
# DATA
# 0 0
# -2.11643964e-05 1.60982339e-15
# -0.00134190369 -2.49800181e-15
# -0.0147437802 -1.49880108e-15
# -0.0761366602 1.38777878e-16
# -0.252367237 3.38618023e-15
# -0.619598191 5.81479309e-15
# -1.21789435 8.27116153e-15
# -2.00391062 8.79851747e-15
# -2.83040209 7.99360578e-15
# -3.4710145 6.05071548e-15
# -3.68601794 5.07927034e-15
# -3.30807658 4.5519144e-15
# -2.31261356 3.68455266e-15
# -0.837142421 4.77222428e-15
# 0.856798331 6.21724894e-15
# 2.46087516 7.5078832e-15
# 3.70963781 1.17406085e-14
# 4.44744628 1.40165657e-14
# 4.64679627 1.37528877e-14
# 4.38073857 1.33087985e-14
# 3.77146244 1.00960906e-14
# 2.94316173 9.04831765e-15
# 2.00328576 4.82947016e-15
# 1.05322133 5.05151476e-15
# 0.202721973 3.99680289e-15
# -0.434751777 7.88258347e-15
# -0.768014641 5.49560397e-15
# -0.76656563 9.04831765e-15
# -0.485770159 5.16253706e-15
# -0.0478113348 7.04991621e-15
# 0.409914876 3.28903571e-15
# 0.792598036 5.04457587e-15
# 1.04751369 4.44783099e-15
# END