[ Identification | Description | Input parameters | Links ]

The Phonon_BvK_PG Component

A sample for phonon scattering based on cross section expressions from the Boothroyd textbook based upon the algorithm from component Phonon_simple (with expressions from Squires, Ch. 3) Using the Born-von Karman force constnts and the normal mode formalism

Identification

Description

Single-cylinder or slap shaped shape.
Absorption included.
No multiple scattering.
No incoherent scattering emitted, but incoherent is present in attenuation
No attenuation from coherent scattering. No Bragg scattering.
Specialized for Pyrolytic Graphite (PG)

Algorithm:
0. Always perform the scattering if possible (otherwise ABSORB)
1. Choose direction within a focusing solid angle
2. Select a phonon mode at random (alternatively mode number fixed by user)
3. Calculate the zeros of (E_i-E_f-hbar omega(kappa)) as a function of k_f
4. Choose one value of k_f (there always at least one possible; see e.g. Squires)
5. Perform the correct weight transformation
For details: see article A. F. Davidsen et al, manuscript for J Neutron Res 2026

Input parameters

Parameters in boldface are required; the others are optional.
NameUnitDescriptionDefault
hhrluh-coordinate (in units of a*) of the q-point used when calculating the dispersion0
kkrluk-coordinate (in units of a*) of the q-point used when calculating the dispersion0
llrlul-coordinate (in units of c*) of the q-point used when calculating the dispersion0
radiusmOuter radius of sample in (x,z) plane0
xwidthmHoriz. dimension of sample if slap0
yheightmHeight of sample in y direction0
zdepthmDepth of sample if slap0
sigma_absbarnsAbsorption cross section at 2200 m/s per atom0
sigma_incbarnsIncoherent scattering cross section per atom0
DW1Debye-Waller factor; scalar value (no q-dependence)1
TKTemperature
focus_rmRadius of sphere containing target.0
focus_xwmhoriz. dimension of a rectangular area0
focus_yhmvert. dimension of a rectangular area0
focus_awdeghoriz. angular dimension of a rectangular area0
focus_ahdegvert. angular dimension of a rectangular area0
target_xmposition of target to focus at . Transverse coordinate0
target_ymposition of target to focus at. Vertical coordinate0
target_zmposition of target to focus at. Straight ahead.0
target_index1relative index of component to focus at, e.g. next is +10
mode_input1order of the phonon mode to be scattered (unphysical). In the range 0 through 11 . If mode_input == 12, then the mode is choosen at random
e_steps_low1Amount of possible intersections beneath the elastic line
e_steps_high1Amount of possible intersections above the elastic line
verbose_input1toggles verbose mode (verbose>1) or eigenvector mode (verbose==1)0
dispersion10: do nothing special; 1: calculate and output the dispersion; 2: calculate and output the dispersion while varying v_f0
AT ( , , ) RELATIVE
ROTATED ( , , ) RELATIVE

Links


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