The `Isotropic_Sqw_legacy` Component

Isotropic sample handling multiple scattering and absorption for a general S(q,w) (coherent and/or incoherent/self). Legacy implementation from McStas 2.0.

Identification

Site:
Author: Virginie Hugouvieux, E. Farhi
Origin: ILL
Date: August 2003

Description

An isotropic sample handling multiple scattering and including as input the
dynamic structure factor of the chosen sample (e.g. from Molecular
Dynamics). Handles elastic/inelastic, coherent and incoherent scattering -
depending on the input S(q,w) - with multiple scattering and absorption.
Only the norm of q is handled (not the vector), and thus suitable for
liquids, gazes, amorphous and powder samples.

The component at hand provides the legacy implementation from McStas 2.0.

If incoherent/self S(q,w) file is specified as empty (0 or "") then the
scattering is constant isotropic (Vanadium like).
In case you only have one S(q,w) data containing both coherent and
incoherent contributions you should e.g. use 'Sqw_coh' and set 'sigma_coh'
to the total scattering cross section.
The implementation assumes that the S(q,w) data is normalized, i.e. S(q)
goes to 1 for large q. If this is not the case, the component can do that
when 'auto_norm=-1'. Alternatively, the S(q,w) data will be multiplied by
'auto_norm' for positive values.

Focusing on the relevant [q,w] data range corresponding to the instrument
setting may improve computation accuracy and prevent some neutrons
to be removed when energy transfer is higher than actual neutron energy.
An automatic such process may be activated when 'auto_qw=1'.
On the other hand, if the input S(q,w) data is too restricted in q, the
scattering conditions will be limited, leading to incomplete result.
Best conditions are to get the widest S(q,w) data and use 'auto_qw=1'.
Additionally, for single order scattering (order=1), you may restrict the
vertical spreading of the scattering area using d_phi parameter.

An important option to enhance statistics is to set 'p_interact' to, say,
30 percent (0.3) in order to force a fraction of the beam to scatter. This
will result on a larger number of scattered events, retaining intensity.

If you use this component and produce valuable scientific results, please
cite authors with references bellow (in Links).

Sample shape:
Sample shape may be a cylinder, a sphere, a box or any other shape
box/plate:       xwidth x yheight x zdepth (thickness=0)
hollow box/plate:xwidth x yheight x zdepth and thickness>0
cylinder:        radius x yheight (thickness=0)
hollow cylinder: radius x yheight and thickness>0
sphere:          radius (yheight=0 thickness=0)
hollow sphere:   radius and thickness>0 (yheight=0)
any shape:       geometry=OFF file

The complex geometry option handles any closed non-convex polyhedra.
It computes the intersection points of the neutron ray with the object
transparently, so that it can be used like a regular sample object.
It supports the OFF and NOFF file format but not COFF (colored faces).
Such files may be generated from XYZ data using:
qhull < coordinates.xyz Qx Qv Tv o > geomview.off
or
powercrust coordinates.xyz
and viewed with geomview or java -jar jroff.jar (see below).
The default size of the object depends of the OFF file data, but its
bounding box may be resized using xwidth,yheight and zdepth.

Concentric components:
This component has the ability to contain other components when used in
hollow cylinder geometry (namely sample environment, e.g. cryostat and
furnace structure). Such component 'shells' should be split into input and
output side surrounding the 'inside' components. First part must then use
'concentric=1' flag to enter the inside part. The component itself must be
repeated to mark the end of the concentric zone. The number of concentric
shells and number of components inside is not limited.

COMPONENT S_in = Isotropic_Sqw_legacy(Sqw_coh="Al.laz", concentric=1, ...)
AT (0,0,0) RELATIVE sample_position

COMPONENT something_inside ... // e.g. the sample itself or other materials

COMPONENT S_out = COPY(S_in)(concentric=0)
AT (0,0,0) RELATIVE sample_position

Sqw file format:
File format for S(Q,w) (coherent and incoherent) should contain 3 numerical
blocks, defining q axis values (vector), then energy axis values (vector),
then a matrix with one line per q axis value, containing Sqw values for
each energy axis value. Comments (starting with '#') and non numerical lines
are ignored and used to separate blocks. Sampling must be regular.

Example:
# q axis values
# vector of m values in Angstroem-1
0.001000 .... 3.591000
# w axis values
# vector of n values in meV
0.001391 ... 1.681391
# sqw values (one line per q axis value)
# matrix of S(q,w) values (m rows x n values), one line per q value,
9.721422  10.599145 ... 0.000000
10.054191 11.025244 ... 0.000000
...
0.000000            ... 3.860253

See for instance file He4_liq_coh.sqw. Such files may be obtained from e.g. INX,
Nathan, Lamp and IDA softwares, as well as Molecular Dynamics.

Powder file format:
Files for coherent elastic powder scattering may also be used.
Format specification follows the same principle as in the PowderN
component, with parameters:

powder_format=Crystallographica
or  powder_format=Fullprof
or  powder_format=Lazy
or  powder_format={j,d,F2,DW,Delta_d/d,1/2d,q,F,strain} (column indexes 1:n)

or column indexes (starting from 1) given as comments in the file header
(e.g. '#column_j 4'). Refer to the PowderN component for more details.
Delta_d/d and Debye-Waller factor may be specified for all lines with the
'powder_Dd' and 'powder_DW' parameters.

Additionally a special [q,Sq] format is also defined with:
powder_format=qSq
for which column 1 is 'q' and column 2 is 'S(q)'.

Examples:
1- Vanadium-like incoherent elastic scattering
Isotropic_Sqw_legacy(radius=0.005, yheight=0.01, V_rho=1/13.827,
sigma_abs=5.08, sigma_inc=4.935, sigma_coh=0)

2- liq-4He parameters
Isotropic_Sqw_legacy(..., Sqw_coh="He4_liq_coh.sqw", T=10, p_interact=0.3)

3- powder sample
Isotropic_Sqw_legacy(..., Sqw_coh="Al.laz", save_sqw=1)

%BUGS:
When used in concentric mode, multiple bouncing scattering
(traversing the hollow part) is not taken into account.
When adapting the (q,w) range automatically, the guess may be wrong for highly
polychromatic beam.

%VALIDATION
For Vanadium incoherent scattering mode, V_sample, PowderN, Single_crystal
and Isotropic_Sqw_legacy produce equivalent results, eventhough the two later are
more accurate (geometry, multiple scattering). Isotropic_Sqw_legacy gives same
powder patterns as PowderN, with an intensity within 20 %.

Input parameters

Parameters in boldface are required; the others are optional.

Name	Unit	Description	Default
powder_format	no quotes	name or definition of column indexes in file	Undefined
Sqw_coh	str	Name of the file containing the values of Q, w and S(Q,w) Coherent part; Q in Angs-1, E in meV, S(q,w) in meV-1. Use 0, NULL or "" to disable.	0
Sqw_inc	str	Name of the file containing the values of Q, w and S(Q,w). Incoherent (self) part. Use 0, NULL or "" to scatter isotropically (V-like).	0
geometry		Name of an Object File Format (OFF) file for complex geometry. The OFF file may be generated from XYZ coordinates using qhull/powercrust [str]	0
radius	m	Outer radius of sample in (x,z) plane. cylinder/sphere.	0
thickness	m	Thickness of hollow sample Negative value extends the hollow volume outside of the box/cylinder.	0
xwidth	m	width for a box sample shape	0
yheight	m	Height of sample in vertical direction for box/cylinder shapes	0
zdepth	m	depth for a box sample shape	0
qmin	Angs-1	Minimum Q value to use in S(q,w).	0
qmax	Angs-1	Maximum Q value to use in S(q,w).	0
wmin	meV	Minimum Energy value to use in S(q,w).	0
wmax	meV	Maximum Energy value to use in S(q,w).	0
auto_qw	1	When set to 1, the [q,w] range will automatically be tuned to optimal setting whenever required (recommended).	0
threshold	1	Value under which S(Q,w) is not accounted for. to set according to the S(Q,w) values, i.e. not too low.	1e-10
order	1	Limit multiple scattering up to given order 0:all (default), 1:single, 2:double, ...	0
T	K	Temperature of sample, detailed balance	0
verbose	1	Verbosity level (0:silent, 1:normal, 2:verbose, 3:debug).	1
d_phi	deg	scattering vertical angular spreading (usually the height of the next component/detector). Use 0 for full space. This is only relevant for single scattering (order=1).	0
concentric	1	Indicate that this component has a hollow geometry and may contain other components. It should then be duplicated after the inside part (only for box, cylinder, sphere). See description for an example.	0
V_rho	AA-3	Density of scattering elements (nb atoms/unit cell V_0).	0
sigma_abs	barns	Absorption cross-section at 2200 m/s. Use -1 to unactivate.	0
sigma_coh	barns	Coherent Scattering cross-section. Use -1 to unactivate.	0
sigma_inc	barns	Incoherent Scattering cross-section. Use -1 to unactivate.	0
save_sqw	1	When set to 1, saves S(q), S(w) and S(q,w) as monitors. This option is not available under Windows platforms.	0
powder_Dd	1	global Delta_d/d spreading, or 0 if ideal.	0
powder_DW	1	global Debey-Waller factor, if not in \|F2\| or 1.	0
powder_Vc	AA^3	volume of the unit cell	0
density	g/cm^3	density of material. V_rho=density/weight/1e24*N_A	0
weight	g/mol	atomic/molecular weight of material	0
p_interact	1	Force a given fraction of the beam to scatter, keeping intensity right, to enhance small signals (-1 unactivate).	-1
auto_norm	1	Normalize S(q,w) when -1. Use raw data when 0 (default), multiply S(q,w) when auto_norm>0.	0
powder_barns	1	0 when \|F2\| data in powder file are fm^2, 1 when in barns (barns=1 for laz, barns=0 for lau type files).	1

AT (	,	,		) RELATIVE
ROTATED (	,	,		) RELATIVE

The Isotropic_Sqw_legacy Component

Identification

Description

Input parameters

Links

The `Isotropic_Sqw_legacy` Component