Rotor stack.m - Revision history

Kuprov: Update function See also links and function index membership

2026-06-06T18:41:10Z

Update function See also links and function index membership

Kuprov: Rename Arguments section heading to Parameters

2026-06-05T17:52:05Z

Rename Arguments section heading to Parameters

Kuprov: Add NOTOC to Spinach function page header

2026-06-05T15:59:06Z

Add NOTOC to Spinach function page header

Kuprov: Correct function page display title to rotor_stack.m

2026-06-05T14:06:05Z

Correct function page display title to rotor_stack.m

Kuprov: Normalise sequential blank lines

2026-04-25T11:29:43Z

Normalise sequential blank lines

Kuprov: Restore pre-bulk-edit wiki content

2026-04-05T14:50:03Z

Restore pre-bulk-edit wiki content

Kuprov: Sync syntax/arguments/outputs with current Spinach source

2026-04-05T14:04:07Z

Sync syntax/arguments/outputs with current Spinach source

Admin: /* Notes */

2018-12-26T13:44:36Z

‎Notes

Kuprov: Created page with "{{DISPLAYTITLE:function.m}} Returns a rotor stack of Liouvillians or Hamiltonians. The stack is needed for the traditional style calculation of MAS dynamics. ==Syntax==..."

2018-01-03T16:19:41Z

Created page with "{{DISPLAYTITLE:function.m}} Returns a rotor stack of Liouvillians or Hamiltonians. The stack is needed for the traditional style calculation of MAS dynamics. ==Syntax==..."

New page

{{DISPLAYTITLE:function.m}}
Returns a rotor stack of Liouvillians or Hamiltonians. The stack is needed for the traditional style calculation of MAS dynamics.

==Syntax==

L=rotor_stack(spin_system,parameters,assumptions)

==Arguments==

parameters.axis - spinning axis, given as a normalized
3-element vector

parameters.offset - a cell array giving transmitter off-
sets in Hz on each of the spins listed
in parameters.spins array

parameters.spins - a cell array giving the spins that
the offsets refer to, e.g. {'1H','13C'}

parameters.max_rank - maximum harmonic rank to retain in
the solution (increase till conver-
gence is achieved, approximately
equal to the number of spinning si-
debands in the spectrum)

parameters.rframes - rotating frame specification, e.g.
{{'13C',2},{'14N,3}} requests second
order rotating frame transformation
with respect to carbon-13 and third
order rotating frame transformation
with respect to nitrogen-14. When
this option is used, the assumptions
on the respective spins should be
laboratory frame.

parameters.orientation - the orientation of the spin system
at rotor phase zero, a vector of
three Euler angles in radians.

parameters.masframe - the frame in which the rotations
are applied. The possibilities are:

'magnet' - the initial orientation in the lab frame
(three-angle powder grids will be required)

'rotor' - the initial orientation in the rotor frame
(two-angle powder grids will be required)

assumptions - assumption set to be used in generating the
Hamiltonian, see [[assume.m]]

==Outputs==

L - a cell array of Hamiltonian or Liouvillian matrices,
one for each tick of the rotor.

rotor_phases - rotor phases at each tick, radians

==Notes==
Relaxation and kinetics are not included.

==See also==
[[singlerot.m]], [[doublerot.m]], [[powder.m]]

''Version 2.1, authors: [[Ilya Kuprov]]''

← Older revision		Revision as of 15:59, 5 June 2026
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−	{{DISPLAYTITLE:rotor_stack.m}}	+	{{DISPLAYTITLE:rotor_stack.m}} __NOTOC__
	Returns a rotor stack of Liouvillians or Hamiltonians. The stack is needed for the traditional style calculation of MAS dynamics.		Returns a rotor stack of Liouvillians or Hamiltonians. The stack is needed for the traditional style calculation of MAS dynamics.

← Older revision		Revision as of 14:06, 5 June 2026
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−	{{DISPLAYTITLE:~~function~~.m}}	+	{{DISPLAYTITLE:rotor_stack.m}}
	Returns a rotor stack of Liouvillians or Hamiltonians. The stack is needed for the traditional style calculation of MAS dynamics.		Returns a rotor stack of Liouvillians or Hamiltonians. The stack is needed for the traditional style calculation of MAS dynamics.

@@ Line 61: / Line 61: @@
 ==See also==
-[[singlerot.m]], [[doublerot.m]], [[powder.m]]
+[[singlerot.m]], [[doublerot.m]], [[powder.m]], [[assume.m]], [[anax2dcm.m]], [[anax2quat.m]], [[axis_tsymm.m]], [[dcm2euler.m]], [[dcm2wigner.m]], [[euler2dcm.m]], [[euler_sup.m]], [[quat2anax.m]], [[rotmat_align.m]], [[wigner.m]], [[xyz2sph.m]], [[Kernel_utilities]]
 ''Version 2.1, authors: [[Ilya Kuprov]]''

@@ Line 6: / Line 6: @@
       L=rotor_stack(spin_system,parameters,assumptions)
-==Arguments==
+==Parameters==
     parameters.axis     - spinning axis, given as a normalized

@@ Line 1: / Line 1: @@
-{{DISPLAYTITLE:rotor_stack.m}} __NOTOC__
+{{DISPLAYTITLE:function.m}}
 Returns a rotor stack of Liouvillians or Hamiltonians. The stack is needed for the traditional style calculation of MAS dynamics.
 ==Syntax==
-[L,rotor_phases]=rotor_stack(spin_system,parameters,assumptions)
+     L=rotor_stack(spin_system,parameters,assumptions)
 ==Arguments==
-parameters.axis     - spinning axis, given as a normalized
+   parameters.axis     - spinning axis, given as a normalized
 -element vector
@@ Line 53: / Line 52: @@
 ==Outputs==
-L   - a cell array of Hamiltonian or Liouvillian matrices,
+       L   - a cell array of Hamiltonian or Liouvillian matrices,
               one for each tick of the rotor.
@@ Line 59: / Line 58: @@
 ==Notes==
 Relaxation and kinetics are not included. See the notes on [[rotation conventions]] for the basic definitions of rotations in ''Spinach''.
 ==See also==
 [[singlerot.m]], [[doublerot.m]], [[powder.m]]
 ''Version 2.1, authors: [[Ilya Kuprov]]''