n_TOF EAR-1 SimulationsNeutron fluence | Spatial profile | Time-to-energy
A. Tsinganis (CERN/NTUA), V. Vlachoudis (CERN),C. Guerrero (CERN) and others
n_TOF Annual Collaboration MeetingLisbon, December 13-15, 2011
Outline Neutron fluence
Geometry Methodology Changes & improvements
Spatial profile The beam interception factor
Time-to-energy conversion Moderation length Comparison: the “t0 offset” and the “λ(E) relation”
Conclusions
EAR-1 Simulations: Neutron fluence | Spatial profile | Time-to-energyn_TOF Annual Collaboration Meeting – Lisbon, December 13-15, 2011 | A.T.
Details on neutron fluence simulations and a preliminary discussion on energy calibration can be found in relevant talks from the October 2011 Analysis Group Meeting at: http://indico.cern.ch/conferenceDisplay.py?confId=154582
Neutron fluence
Geometry Geometry implemented in FLUKA
Simulation of target area only Demineralised water setup
EAR-1 Simulations: Neutron fluence | Spatial profile | Time-to-energyn_TOF Annual Collaboration Meeting – Lisbon, December 13-15, 2011 | A.T.
Simulations: FLUKA + MCNPX Simulations performed combining two codes:
FLUKA (dev. version) MCNPX 2.6
Why? FLUKA
Well-benchmarked high energy models, BUT… Group-wise treatment of neutrons <20MeV (260 groups) information on
resonant absorption dips is not detailed MCNPX
Point-wise neutron cross sections, BUT… Less accurate high energy models
See talk by Marco (analysis group meeting Nov. 2010) for comparison of FLUKA and MCNPX results (https://indico.cern.ch/conferenceDisplay.py?confId=114081)
EAR-1 Simulations: Neutron fluence | Spatial profile | Time-to-energyn_TOF Annual Collaboration Meeting – Lisbon, December 13-15, 2011 | A.T.
Simulations: FLUKA + MCNPX FLUKA is used to simulate the proton beam and
production of neutrons inside the lead target
With the use of a modified MGDRAW routine: Neutrons >20MeV scored at beginning of beam tube and
dumped to file Neutrons falling below 20MeV are “stopped” and dumped to
file
Geometry (incl. materials) exported to MCNPX using FLAIR MCNPX input file automatically generated adding necessary
cards FILES card, tally, NPS card
Dump file of neutrons <20MeV read by MCNPX SOURCE routine to continue the history, taking advantage of the point-wise cross sections
Neutrons scored on the same plane (modified TALLYX routine)
Finally, FLUKA (>20MeV) and MCNPX (<20MeV) results merged
Quantities scored Coordinates Directional cosines Energy Time (since primary proton) Weight
EAR-1 Simulations: Neutron fluence | Spatial profile | Time-to-energyn_TOF Annual Collaboration Meeting – Lisbon, December 13-15, 2011 | A.T.
Neutron propagation
Very small solid angle prohibitive CPU time Propagation of neutrons to EAR-1 performed off-line with
external routine accounting for:Tube and collimator geometryMisalignments
Statistics need to be “artificially” improved
180m
2cm
EAR-1 Simulations: Neutron fluence | Spatial profile | Time-to-energyn_TOF Annual Collaboration Meeting – Lisbon, December 13-15, 2011 | A.T.
Neutron propagation
Initial cut Neutron emission assumed isotropic within this angle
Assumption holds for small angles: 30 chosen (conservatively) after tests Neutrons falling outside r = Rcut are discarded
Detection surface selected Position along beam Size (radius, Rmax)
θ = 30
Rcut ≈ 10m
Rmax = 2cm
EAR-1
EAR-1 Simulations: Neutron fluence | Spatial profile | Time-to-energyn_TOF Annual Collaboration Meeting – Lisbon, December 13-15, 2011 | A.T.
Neutron propagation
Several instances of each neutron are emitted towards the detection surface, “scanning” the whole area with a defined step Accounting for different tube diameters and collimators
“Ideal” collimation Any neutron that hits a tube or collimator is discarded Does not account for scattering on beam-line elements
The energy and position of the neutrons that reach the EAR are used to determine the flux and the spatial profile Appropriate normalisation of results
Rmax = 2cm
EAR-1 Simulations: Neutron fluence | Spatial profile | Time-to-energyn_TOF Annual Collaboration Meeting – Lisbon, December 13-15, 2011 | A.T.
Improvements & investigation Gravitational effect added
Relevant below 1eV
Geometry corrections Rotation of neutron window Expected deformation of moderator window Detailed comparison with technical drawings
Investigation of various parameters Collimation, misalignments Comparison with older simulations and experimental data
EAR-1 Simulations: Neutron fluence | Spatial profile | Time-to-energyn_TOF Annual Collaboration Meeting – Lisbon, December 13-15, 2011 | A.T.
Results Present results
1.45x108 protons run ~ 3y of CPU time on EET cluster Statistical error ≤2% in 1eV-3GeV region at 600 bins per energy decade
EAR-1 Simulations: Neutron fluence | Spatial profile | Time-to-energyn_TOF Annual Collaboration Meeting – Lisbon, December 13-15, 2011 | A.T.
Spatial profile &beam interception factor
Spatial profile
EAR-1 Simulations: Neutron fluence | Spatial profile | Time-to-energyn_TOF Annual Collaboration Meeting – Lisbon, December 13-15, 2011 | A.T.
The energy and position of the neutrons that reach the EAR are used to determine the spatial profile
Spatial profile
EAR-1 Simulations: Neutron fluence | Spatial profile | Time-to-energyn_TOF Annual Collaboration Meeting – Lisbon, December 13-15, 2011 | A.T.
Beam interception factor
How much – and what part – of the beam hits a sample of radius R?
Dependent on energyand geometry
Different samples / geometries studied
EAR-1 Simulations: Neutron fluence | Spatial profile | Time-to-energyn_TOF Annual Collaboration Meeting – Lisbon, December 13-15, 2011 | A.T.
Beam interception factor BIF calculated for 1, 2 & 3cm diameter
samples @184m
EAR-1 Simulations: Neutron fluence | Spatial profile | Time-to-energyn_TOF Annual Collaboration Meeting – Lisbon, December 13-15, 2011 | A.T.
Beam interception factor Influence of gravity
EAR-1 Simulations: Neutron fluence | Spatial profile | Time-to-energyn_TOF Annual Collaboration Meeting – Lisbon, December 13-15, 2011 | A.T.
Beam interception factor Normalising at 5eV…
…differences in the shape and the 5eV-to-thermal ratio emerge
Note: simulations performed for the demineralised water setup: this could affect the results below ~1eV
EAR-1 Simulations: Neutron fluence | Spatial profile | Time-to-energyn_TOF Annual Collaboration Meeting – Lisbon, December 13-15, 2011 | A.T.
Beam interception factor Beam-line alignment
Tested for 3 cases Realistic collimation setup Aligned “Ideal” alignment
EAR-1 Simulations: Neutron fluence | Spatial profile | Time-to-energyn_TOF Annual Collaboration Meeting – Lisbon, December 13-15, 2011 | A.T.
normalised @5eV
Beam interception factor Sample alignment
x- and y-offsets of 2mm
Changes in the shape and the 5eV-to-thermal ratio!
EAR-1 Simulations: Neutron fluence | Spatial profile | Time-to-energyn_TOF Annual Collaboration Meeting – Lisbon, December 13-15, 2011 | A.T.
Beam interception factor Comparison with BIF extracted from XY-MGAS
data
EAR-1 Simulations: Neutron fluence | Spatial profile | Time-to-energyn_TOF Annual Collaboration Meeting – Lisbon, December 13-15, 2011 | A.T.
Time-to-energy conversion
The problem… How do we reconstruct the neutron energy from the
measured time-of-flight?
Protons hit the lead target
Neutrons enter the tube afterfollowing an unknown path insidethe target and other materialsduring an unknown time interval using the measured TOF will
lead to an incorrect estimate of the neutron energy
Different approaches to the problem…
EAR-1 Simulations: Neutron fluence | Spatial profile | Time-to-energyn_TOF Annual Collaboration Meeting – Lisbon, December 13-15, 2011 | A.T.
The moderation length Effective moderation length evaluated as:
v: velocity, tmod: moderation time
The moderation time is an experimental unknown, but it is known in the simulations
We can therefore study the behaviour of λ over the fullenergy range
EAR-1 Simulations: Neutron fluence | Spatial profile | Time-to-energyn_TOF Annual Collaboration Meeting – Lisbon, December 13-15, 2011 | A.T.
The effective moderation length The λ(E) distribution extracted from the simulations
For each energy bin, the position of the maximum and the mean are plotted
The proton pulse width (7ns rms) is accounted for
EAR-1 Simulations: Neutron fluence | Spatial profile | Time-to-energyn_TOF Annual Collaboration Meeting – Lisbon, December 13-15, 2011 | A.T.
The equivalent “t0 offset” “Time-energy relation of the n_TOF neutron beam:
energy standards revisited”
Summary follows…
EAR-1 Simulations: Neutron fluence | Spatial profile | Time-to-energyn_TOF Annual Collaboration Meeting – Lisbon, December 13-15, 2011 | A.T.
The equivalent “t0 offset” The neutron energy can be given as:
The effective flight path L can be expressed as:
where L0 is the geometrical length (plus the energy
independent term of the moderation length)
The moderation length λ is extracted from simulations
EAR-1 Simulations: Neutron fluence | Spatial profile | Time-to-energyn_TOF Annual Collaboration Meeting – Lisbon, December 13-15, 2011 | A.T.
The equivalent “t0 offset” A fit is performed (on the mean value of λ) between
1eV-105eV following E-½
The moderation process canequivalently be treated in termsof a time offset. Given eqs. (1) and (2):
Comparing equations (2) and(3), the “t0 offset” is found tobe approximately -73ns.
In reality, it is also t0= t0(E),but it is not consideredimportant
EAR-1 Simulations: Neutron fluence | Spatial profile | Time-to-energyn_TOF Annual Collaboration Meeting – Lisbon, December 13-15, 2011 | A.T.
2004 calculations The simulated data from 2004 and the fit that gives t0=73ns
EAR-1 Simulations: Neutron fluence | Spatial profile | Time-to-energyn_TOF Annual Collaboration Meeting – Lisbon, December 13-15, 2011 | A.T.
2011 calculations Shape of data in the same region is quite more complex due to the
resonance dips After several tests (removing the dips and tightening the energy
range) the data can be fitted with an equation ~E½
EAR-1 Simulations: Neutron fluence | Spatial profile | Time-to-energyn_TOF Annual Collaboration Meeting – Lisbon, December 13-15, 2011 | A.T.
2011 calculations The estimated t0 value is higher than the old one (165ns) Obviously, neither value can describe the MeV-GeV region
EAR-1 Simulations: Neutron fluence | Spatial profile | Time-to-energyn_TOF Annual Collaboration Meeting – Lisbon, December 13-15, 2011 | A.T.
Comparison 2004-2011 Using the 5900eV Al resonance
Estimating centroid with gaussian fit
Better agreement using he t0 value based on the 2011 simulations
EAR-1 Simulations: Neutron fluence | Spatial profile | Time-to-energyn_TOF Annual Collaboration Meeting – Lisbon, December 13-15, 2011 | A.T.
Extracting the neutron energy from λ(E) Starting again from eq. (1):
The effective flight path L can be expressed as:
where Lgeom is the geometrical length, thus
giving a new estimate for the energy:
In general:
The correct energy can be determined iteratively, based on the λ(E) relation extracted from the simulations Very quick convergence (2-3 Newton-Raphson iterations), but still more time-consuming than
the t0-offset implementation
EAR-1 Simulations: Neutron fluence | Spatial profile | Time-to-energyn_TOF Annual Collaboration Meeting – Lisbon, December 13-15, 2011 | A.T.
The calculated λ(E) relation has been tested (by Diego Tarrio, USC) in the analysis of PPAC data (using the mean value)
Position of 235U resonances good in evaluated region (up to 2250eV) Except for 300-350eV region!
A 55Mn resonance is present in the flux at this energy Behaviour in 1MeV-hundreds of MeV seems OK (using 232Th(n,f) and 238U/235U(n,f) data)
(preliminary check)
Extracting the neutron energy from λ(E)
EAR-1 Simulations: Neutron fluence | Spatial profile | Time-to-energyn_TOF Annual Collaboration Meeting – Lisbon, December 13-15, 2011 | A.T.
Graphs by Diego Tarrio, USC
Extracting the neutron energy from λ(E)
EAR-1 Simulations: Neutron fluence | Spatial profile | Time-to-energyn_TOF Annual Collaboration Meeting – Lisbon, December 13-15, 2011 | A.T.
Why do we have this problem? Because of the way the simulations are performed In fact, we are considering more intermediate material than we should (the neutron
window) The dips in λ(E) are more pronounced than they should
We score here(after the neutron window)We reduce to here(after the moderator window)
Recommendations for t2e conversion The “t0-offset” approach
Valid in specific energy range Completely wrong above 10-100keV Ignores dips in the flux validity is compromised at those energies
Use of the t0 value from 2011 simulations (165ns) is more appropriate
Using the λ(E) relation Valid at any energy
Reduced validity at energies corresponding to flux dips More CPU-intensive Must be used for analysis in the MeV region (fission measurements)
Comments?
EAR-1 Simulations: Neutron fluence | Spatial profile | Time-to-energyn_TOF Annual Collaboration Meeting – Lisbon, December 13-15, 2011 | A.T.
Conclusions Neutron flux simulations completed DONE Spatial profile of neutron beam
Final configuration (beam-line alignment etc.) DONE Calculate beam interception factor DONE
Compare with XY-MGAS results DONE Understand discrepancies PENDING BIF can be calculated for specific sample diameters and positions UPON
REQUEST
EAR-1 Simulations: Neutron fluence | Spatial profile | Time-to-energyn_TOF Annual Collaboration Meeting – Lisbon, December 13-15, 2011 | A.T.
Internal note
Detailed n_TOFinternal note isbeing prepared
EAR-1 Simulations: Neutron fluence | Spatial profile | Time-to-energyn_TOF Annual Collaboration Meeting – Lisbon, December 13-15, 2011 | A.T.
Conclusions Neutron flux simulations completed DONE Spatial profile of neutron beam
Final configuration (beam-line alignment etc.) DONE Calculate beam interception factor DONE
Compare with XY-MGAS results DONE Understand discrepancies PENDING BIF can be calculated for specific sample diameters and positions UPON
REQUEST Prepare internal note IN PROGRESS Borated water setup
Find equivalent B(OH)3 concentration, run simulations PENDING Create repository of n_TOF simulations and related files
(external programmes etc.) for EARs 1&2 PENDINGEAR-1 Simulations: Neutron fluence | Spatial profile | Time-to-energy
n_TOF Annual Collaboration Meeting – Lisbon, December 13-15, 2011 | A.T.
Don’t go away…. Simulations pertaining to the better understanding of the
n_TOF γ-flash, its effect on EAR-1 detectors and on EAR-2 planning and operation to be presented on Thursday
EAR-1 Neutron Flux Simulationsn_TOF Analysis Group Meeting – CERN, October 4-5, 2011 | A.T.
The end
EAR-1 Neutron Flux Simulationsn_TOF Analysis Group Meeting – CERN, October 4-5, 2011 | A.T.
extra slides
Strange feature
EAR-1 Simulations: Neutron fluence | Spatial profile | Time-to-energyn_TOF Annual Collaboration Meeting – Lisbon, December 13-15, 2011 | A.T.
Geometry: changes & improvements Neutron window
Rotated by 450, as observed during 2010 alignment campaign
Material definition correctedwith appropriate Al alloy
5cm2mm
EAR-1 Simulations: Neutron fluence | Spatial profile | Time-to-energyn_TOF Annual Collaboration Meeting – Lisbon, December 13-15, 2011 | A.T.
Geometry: changes & improvements Moderator window
Expected deformation at operating pressure: 1.3mm sagitta (according to design report) Equivalent (equal volume) increase in moderator thickness: 0.65mm
heq ≈ h/2 , h << r
EAR-1 Simulations: Neutron fluence | Spatial profile | Time-to-energyn_TOF Annual Collaboration Meeting – Lisbon, December 13-15, 2011 | A.T.
Geometry: changes & improvements Neutron window
Moved 8mm downstream
EAR-1 Simulations: Neutron fluence | Spatial profile | Time-to-energyn_TOF Annual Collaboration Meeting – Lisbon, December 13-15, 2011 | A.T.
Geometry: changes & improvements Comparison with technical drawings
Target, windows… Overlay of drawings and simulated geometry now possible
EAR-1 Simulations: Neutron fluence | Spatial profile | Time-to-energyn_TOF Annual Collaboration Meeting – Lisbon, December 13-15, 2011 | A.T.
Neutron propagation: gravity Gravity can significantly alter the trajectory of low-energy neutrons
No significant effect expected above 1-10eV
Δy = ½ g t2
EAR-1 Simulations: Neutron fluence | Spatial profile | Time-to-energyn_TOF Annual Collaboration Meeting – Lisbon, December 13-15, 2011 | A.T.
Neutron propagation: gravity
EAR-1 Simulations: Neutron fluence | Spatial profile | Time-to-energyn_TOF Annual Collaboration Meeting – Lisbon, December 13-15, 2011 | A.T.
Neutron propagation: gravity
EAR-1 Simulations: Neutron fluence | Spatial profile | Time-to-energyn_TOF Annual Collaboration Meeting – Lisbon, December 13-15, 2011 | A.T.
Neutron propagation: gravity Sample neutron trajectories
EAR-1 Simulations: Neutron fluence | Spatial profile | Time-to-energyn_TOF Annual Collaboration Meeting – Lisbon, December 13-15, 2011 | A.T.
Neutron propagation: gravity Sample neutron trajectories
EAR-1 Simulations: Neutron fluence | Spatial profile | Time-to-energyn_TOF Annual Collaboration Meeting – Lisbon, December 13-15, 2011 | A.T.
Neutron propagation: gravity Sample neutron trajectories
EAR-1 Simulations: Neutron fluence | Spatial profile | Time-to-energyn_TOF Annual Collaboration Meeting – Lisbon, December 13-15, 2011 | A.T.