The `PowderN` Component

General powder sample (N lines, single scattering, incoherent scattering)

Identification

Site:
Author: P. Willendrup, L. Chapon, K. Lefmann, A.B.Abrahamsen, N.B.Christensen, E.M.Lauridsen.
Origin: Risoe
Date: 4.2.98

Description

General powder sample with
many scattering vectors
possibility for intrinsic line broadening
incoherent background ratio is computed from material datafile.
No multiple scattering. No secondary extinction.

Based on Powder1/Powder2/Single_crystal.
Geometry is a powder filled cylinder, sphere, box or any shape from an OFF file.
Incoherent scattering is only provided here to account for a background.
The efficient is highly improved when restricting the vertical scattering
range on the Debye-Scherrer cone (with 'd_phi' and 'focus_flip').
The unit cell volume Vc may also be computed when giving the density,
the atomic/molecular weight and the number of atoms per unit cell.

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 xray 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.

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

Example: PowderN(reflections = "c60.lau", d_phi = 15 , radius = 0.01,
yheight = 0.05, Vc = 1076.89, Delta_d=0, DW=1,
format=Crystallographica)

Powder definition file format
Powder structure is specified with an ascii data file 'reflections'.
The powder data are free-text column based files.
The reflection list should be ordered by decreasing d-spacing values.
... d ... F2
Lines begining by '#' are read as comments (ignored) but they may contain
the following keywords (in the header):
#Vc           
#Debye_Waller 
#Delta_d/d    
These values are not read if entered as component parameters (Vc=...)

The signification of the columns in the numerical block may be
set using the 'format' parameter. Built-in formats are:
format=Crystallographica
format=Fullprof
format=Lazy
and these specifications it is important NOT to use quotes, as shown.

An other possibility to define other formats is to set directly
the signification of the columns as a vector of indexes in the order
format={j,d,F2,DW,Delta_d/d,1/2d,q,F}
Signification of the symbols is given below. Indexes start at 1.
Indices with zero means that the column are not present, so that:
Crystallographica={ 4,5,7,0,0,0,0,0 }
Fullprof         ={ 4,0,8,0,0,5,0,0 }
Lazy             ={17,6,0,0,0,0,0,13}
Here again, NO quotes should be around the 'format' value.

At last, the format may be overridden by direct definition of the
column indexes in the file itself by using the following keywords
in the header (e.g. '#column_j 4'):
#column_j     
#column_d     
#column_F2    
#column_F     
#column_DW    
#column_Dd    
#column_inv2d 
#column_q     

Concentricity

PowderN assumes 'concentric' shape, i.e. can contain other components inside its
optional inner hollow. Example, Sample in Al cryostat:


COMPONENT Cryo = PowderN(reflections="Al.laz", radius = 0.01, thickness = 0.001,
concentric = 1, p_interact=0.1)
AT (0,0,0) RELATIVE Somewhere

COMPONENT Sample = some_other_component(with geometry FULLY enclosed in the hollow)
AT (0,0,0) RELATIVE Somewhere

COMPONENT Cryo2 = COPY(Cryo)(concentric = 0)
AT (0,0,0) RELATIVE Somewhere


(The second instance of the cryostat component can also be written out completely
using PowderN(...). In both cases, this second instance needs concentric = 0.)
The concentric arrangment can not be used with OFF geometry specification.

Input parameters

Parameters in boldface are required; the others are optional.

Name	Unit	Description	Default
format		Name of the format, or list of column indexes (see Description). N.b. no qoutes!	Undefined
mat_format			mat_Undefined
reflections		Input file for reflections.	0
material			0
geometry	str	Name of an Object File Format (OFF) or PLY file for complex geometry. The OFF/PLY file may be generated from XYZ coordinates using qhull/powercrust.	0
radius	m	Outer radius of sample in (x,z) plane	0
yheight	m	Height of sample y direction	0
xwidth	m	Horiz. dimension of sample, as a width	0
zdepth	m	Depth of box sample	0
thickness		Thickness of hollow sample.	0
pack	1	Packing factor	1
Vc	AA^3	Volume of unit cell=nb atoms per cell/density of atoms.	0
Delta_d	AA	Global relative Delta_d/d spreading when the 'w' column is not available. Use 0 if ideal.	0
p_inc	1	Fraction of incoherently scattered rays.	0.1
p_transmit	1	Fraction of transmitted (only attenuated) rays.	0.1
DW	1	Global Debye-Waller factor when the 'DW' column is not available. Use 1 if included in F2.	0
nb_atoms	1	Number of sub-unit per unit cell, that is ratio of sigma for chemical formula to sigma per unit cell.	1
d_phi	deg	Angle corresponding to the vertical angular range to focus to, e.g. detector height. 0 for no focusing.	0
d_theta	deg	Longitudinal angle to focus to, i.e. lateral opening angle. This means, the maximum scattering angle, 2*theta, is equal to d_theta/2.0	360
p_interact	1	Fraction of events interacting with sample, e.g. 1-p_transmit-p_inc.	0.8
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).	0
density	g/cm^3	Density of material. rho=density/weight/1e24*N_A.	0
weight	g/mol	Atomic/molecular weight of material [g/mol]	0
barns	1	Flag to indicate if \|F\|^2 from 'reflections' is in barns or fm^2, (barns=1 for laz, barns=0 for lau type files).	1
focus_flip	1	Controls the sense of d_phi. If 0 d_phi is measured against the xz-plane. If !=0 d_phi is measured against zy-plane.	0

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

McXtrace - An X-ray ray-trace simulation package

The PowderN Component

Identification

Description

Input parameters

Links

The `PowderN` Component