

Line 2,091: 
Line 2,091: 
 <u>Notes:</u>   <u>Notes:</u> 
 *Calculation of sensible values for INF_TRANSPXS and INF_DIFFCOEF requires fine enough [[Input syntax manual#set microintermediate multigroup structure]].   *Calculation of sensible values for INF_TRANSPXS and INF_DIFFCOEF requires fine enough [[Input syntax manual#set microintermediate multigroup structure]]. 
−  *The cumulative migration method <ref name="manual">Liu, Z., Smith, K., Forget, B. and Ortensi, J.''"Cumulative migration method for computing rigorous diffusion coefficients and transport cross sections from Monte Carlo."'' Ann. Nucl. Energy, [https://www.sciencedirect.com/science/article/pii/S0306454917303778 118 (2018) 507516].</ref> (CMM) was first developed for the [https://openmc.readthedocs.io OpenMC] code.  +  *The cumulative migration method <ref>Liu, Z., Smith, K., Forget, B. and Ortensi, J.''"Cumulative migration method for computing rigorous diffusion coefficients and transport cross sections from Monte Carlo."'' Ann. Nucl. Energy, [https://www.sciencedirect.com/science/article/pii/S0306454917303778 118 (2018) 507516].</ref> (CMM) was first developed for the [https://openmc.readthedocs.io OpenMC] code. 
 *CMM diffusion coefficients and transport cross sections are reasonable only when they are calculated over entire geometry (homogenized region covers the entire geometry and is surrounded by periodic or reflective boundary conditions). This means that e.g. pin cell CMM diffusion coefficients can not be calculated from a 2D fuel assembly calculation.   *CMM diffusion coefficients and transport cross sections are reasonable only when they are calculated over entire geometry (homogenized region covers the entire geometry and is surrounded by periodic or reflective boundary conditions). This means that e.g. pin cell CMM diffusion coefficients can not be calculated from a 2D fuel assembly calculation. 
 *Calculation of TRC_TRANSPXS and TRC_DIFFCOEF requires defining energydependent correction factors using the [[Input syntax manual#set trcset trc]] option.   *Calculation of TRC_TRANSPXS and TRC_DIFFCOEF requires defining energydependent correction factors using the [[Input syntax manual#set trcset trc]] option. 
Line 2,251: 
Line 2,251: 
   
 ==== Poison universeaveraged densities ====   ==== Poison universeaveraged densities ==== 
 +  
 +  <u>Notes:</u> 
 +  
 +  *The universeaveraged atomic density is defined to be such that ADENS*MICRO_ABS is equal to MACRO_ABS.<ref>Rintala, A., Valtavirta, V. and Leppänen, J.. ''Microscopic cross section calculation methodology in the Serpent 2 Monte Carlo code.'' Annals of Nuclear Energy, [https://doi.org/10.1016/j.anucene.2021.108603 164 (2021): 108603].</ref> 
   
 {class="wikitable" style="textalign: left;"   {class="wikitable" style="textalign: left;" 
Revision as of 09:06, 27 April 2022
This page lists the output parameters in the main [input]_res.m output file.
General output parameters
Version, title and date
Parameter

Size

Description

VERSION

(string)

Code version

COMPILE_DATE

(string)

Date when the source code was compiled

DEBUG

1

Debug flag indicating if the DEBUG option was set when the source code was compiled

TITLE

(string)

Title defined using the set title input option

CONFIDENTIAL_DATA

1

Confidentiality flag set using the set confi input option

INPUT_FILE_NAME

(string)

File name of the main input file

WORKING_DIRECTORY

(string)

Directory path where the simulation was run

HOSTNAME

(string)

Host name where the simulation was run

CPU_TYPE

(string)

CPU type of the machine where the simulation was run (parsed from /proc/cpuinfo)

CPU_MHZ

(string)

CPU clock frequency of the machine where the simulation was run (parsed from /proc/cpuinfo)

START_DATE

(string)

Date and time when the simulation was started

COMPLETE_DATE

(string)

Date and time when this output was printed

Run parameters
Parameter

Size

Description

POP

1

Population size defined using the set pop input option (criticality) or the set nps input option (external source)

CYCLES

1

Number of active cycles defined using the set pop input option

SKIP

1

Number of inactive cycles defined using the set pop input option

BATCH_INTERVAL

1

Batching interval defined using the set pop input option

BATCHES

1

Number of batches defined using the set nps input option

SRC_NORM_MODE

1

Source normalization mode

SEED

1

Random number seed taken from system time or defined using the set seed input option

UFS_MODE

1

Uniform fission source mode defined using the set ufs input option

UFS_ORDER

1

Uniform fission exponential factor using the set ufs input option

NEUTRON_TRANSPORT_MODE

1

Flag indicating whether or not neutron transport simulation is on

PHOTON_TRANSPORT_MODE

1

Flag indicating whether or not neutron transport simulation is on

GROUP_CONSTANT_GENERATION

1

Flag indicating whether or not group constant generation is on

B1_CALCULATION

3

Flag indicating whether or not B1 calculation is on

B1_BURNUP_CORRECTION

1

Flag indicating whether or not B1 burnup correction is on

CRIT_SPEC_MODE

2

Critical spectrum modes

IMPLICIT_REACTION_RATES

1

Flag indicating whether or implicit reaction rates are used for group constant generation

VR_ITER_IDX

1

Variance reduction iteration index when output was printed (see wwin card)

Domain decomposition
Parameter

Size

Description

DD_MODE

1

Domain decomposition mode defined using the set dd input option

DD_NEUTRONS_TO_LIMBO

M

Neutrons sent to limbo (transferral buffer) at each domain

DD_NEUTRONS_FROM_LIMBO

M

Neutrons received from limbo (transferral buffer) at each domain

Optimization
Parameter

Size

Description

OPTIMIZATION_MODE

1

Optimization mode defined using the set opti input option

RECONSTRUCT_MICROXS

1

Flag indicating whether or not microscopic cross sections are reconstructed on the unionized energy grid

RECONSTRUCT_MACROXS

1

Flag indicating whether or not macroscopic cross sections are reconstructed on the unionized energy grid

DOUBLE_INDEXING

1

Double indexing option defined using the set dix input option

MG_MAJORANT_MODE

1

Multigroup majorant mode

SPECTRUM_COLLAPSE

1

Spectrum collapse method flag (set xscalc input option)

Parallelization
Parameter

Size

Description

MPI_TASKS

1

Number of parallel MPI tasks

OMP_THREADS

1

Number of parallel OpenMP threads

MPI_REPRODUCIBILITY

1

MPI reproducibility option defined by the set repro input option

OMP_REPRODUCIBILITY

1

OpenMP reproducibility option defined by the set repro input option

OMP_HISTORY_PROFILE

N

Fraction of particle histories run for each parallel OpenMP thread

SHARE_BUF_ARRAY

1

Shared buffer flag

SHARE_RES2_ARRAY

1

Shared RES2 array flag

OMP_SHARED_QUEUE_LIM

1

Limiting value for using shared particle queue

File paths
Notes:
 Only the first file path listed is displayed
Parameter

Size

Description

XS_DATA_FILE_PATH

(string)

Cross section directory file path defined using the set acelib input option

DECAY_DATA_FILE_PATH

(string)

Radioactive decay data file path defined using the set declib input option

SFY_DATA_FILE_PATH

(string)

Spontaneous fission yield data file path defined using the set sfylib input option

NFY_DATA_FILE_PATH

(string)

Neutroninduced fission yield data file path defined using the set nfylib input option

BRA_DATA_FILE_PATH

(string)

Isomeric branching ratio data file path defined using the set bralib input option

PHOTON_PHYS_DIRECTORY

(string)

Photon physics directory path defined using the set pdatadir input option

Misc. statistics
Collision and reaction sampling (neutrons/photons)
Notes:
 The first single/pair value corresponds to neutrons and, the second single/pair value corresponds to photons.
Parameter

Size

Description

MEAN_SRC_WGT

2/2

Mean source weight for noncriticality calculations (neutrons/photons)

SOURCE_SAMPLING_EFF

2/2

Source sampling efficiency for noncriticality calculations (neutrons/photons)

MEAN_SRC_WW_SPLIT

2/2

Mean source weightwindow splitting in variance reduction (neutrons/photons)

MEAN_SRC_WW_EFF

2/2

Mean source weightwindow sampling efficiency in variance reduction (neutrons/photons)

WW_BALA_ROULETE

2/2

Mean weightwindow balance due to Russian roulette in variance reduction (neutrons/photons)

WW_BALA_SPLIT

2/2

Mean weightwindow balance due to splitting in variance reduction (neutrons/photons)

MIN_MACROXS

2/2

Macroscopic cross section corresponding to the minimum mfp used for scoring the collision flux estimator (see the set cfe input option)

DT_THRESH

1/1

Probability threshold used for switching to deltatracking (see the set dt input option)

ST_FRAC

2/2

Fraction of paths sampled using surfacetracking

DT_FRAC

2/2

Fraction of paths sampled using deltatracking

DT_EFF

2/2

Deltatracking efficiency

IFC_COL_EFF

2/2

Efficiency of interface collision rejection (see ifc card)

REA_SAMPLING_EFF

2/2

Reaction sampling efficiency

REA_SAMPLING_FAIL

2/2

Fraction of failed reaction samples

TMS_SAMPLING_EFF

2

Target motion sampling method, TMS, sampling efficiency (see tms option, in mat card)

TOT_COL_EFF

2/2

Total collision efficiency

AVG_TRACKING_LOOPS

2/2, 2/2

Average number of tracking loops per history and, fraction of failed tracking loops

TMS_FAIL_STAT

8

TMS fail statistics: total samples, majorant fail, lower limit fail, upper limit fail (see tms option, in mat card)

DBRC_EXCEED_FRAC

1

Dopplerbroadening rejection correction, DBRC, majorant exceed fraction (see set dbrc input option)

AVG_TRACKS

2/2

Average number of tracks per history

AVG_REAL_COL

2/2

Average number of real collisions per history

AVG_VIRT_COL

2/2

Average number of virtual collisions per history

AVG_SURF_CROSS

2/2

Average number of surface crossings per history (NOTE: accurate only in ST mode)

LOST_PARTICLES

1

Number of lost particles

STL geometries
Parameter

Size

Description

STL_RAY_TEST

5

STLraytracing test: total, ray is too parallel to facet, intersection point is too close to edge, facet is too close to search mesh cell boundary, two facets overlap

STL_ENFORCE_ST

1

Flag indicating whether or not delta tracking is enforced in STL geometries

Importance solver
Parameter

Size

Description

NEIGHBOUR_SEARCH_FAIL

2

Response matrix calculation fail rate

Run statistics
Parameter

Size

Description

CYCLE_IDX

1

Cycle index when output was printed

SIMULATED_HISTORIES

1

Number of simulated histories when output was printed

MEAN_POP_SIZE

1

Mean population size

MEAN_POP_WGT

1

Mean population weight

SIMULATION_COMPLETED

1

Flag indicating whether or not the simulation was completed

Running times
Notes:
 All times in minutes
 In burnup calculations the first value provides the cumulative and the second value the cyclewise value
Parameter

Size

Description

TOT_CPU_TIME

1

Total CPU time

RUNNING_TIME

1

Total wallclock running time

INIT_TIME

1(2)

Wallclock time spent for initialization

PROCESS_TIME

1(2)

Wallclock time spent for processing

TRANSPORT_CYCLE_TIME

1(3)

Wallclock time spent for transport simulation

FINIX_SOLUTION_TIME

1

Wallclock time spent for FINIX solution

BURNUP_CYCLE_TIME

1(2)

Wallclock time spent for burnup solution

BATEMAN_SOLUTION_TIME

1(2)

Wallclock time spent for solving the Bateman equations

MPI_OVERHEAD_TIME

1(2)

Wallclock time spent MPI communication

DD_OVERHEAD_TIME

1

Wallclock time spent for DD algorithm (see set dd input option)

RMX_SOLUTION_TIME

1

Wallclock time spent for response matrix solution (see wwgen / wwin cards or set sca input option)

LEAKAGE_CORR_SOL_TIME

1

Wallclock time spent for leakage correction solution (see set fum input option)

ESTIMATED_RUNNING_TIME

1(2)

Estimated total wallclock running time

CPU_USAGE

1

Total CPU usage fraction

TRANSPORT_CPU_USAGE

1(2)

CPU usage fraction in transport simulation

OMP_PARALLEL_FRAC

1

Fraction of time spent in OpenMP parallel loops

Memory usage
Notes:
 All values are in megabytes
 Serpent allocates memory in fixed segments, so the allocated memory size may be larger than what is needed for the simulation
Parameter

Size

Description

AVAIL_MEM

1

Available memory size

ALLOC_MEMSIZE

1

Allocated memory size

MEMSIZE

1

Used memory size

XS_MEMSIZE

1

Memory size used for storing cross sections

MAT_MEMSIZE

1

Memory size used for storing materialwise data

RES_MEMSIZE

1

Memory size used for storing results

IFC_MEMSIZE

1

Memory size used for data for multiphysics interface data

RMX_MEMSIZE

1

Memory sized used for storing response matrixwise data

MISC_MEMSIZE

1

Memory size used for data for miscellaneous data

UNKNOWN_MEMSIZE

1

Memory size used for data for uncategorized data

UNUSED_MEMSIZE

1

Allocated memory not used for anything

Geometry parameters
Parameter

Size

Description

TOT_CELLS

1

Total number of cells

UNION_CELLS

1

Total number of cells defined using unions

Neutron energy grid
Parameter

Size

Description

NEUTRON_ERG_TOL

1

Reconstruction tolerace for unionized energy grid

NEUTRON_ERG_NE

1

Number of points in neutron unionized energy grid

NEUTRON_EMIN

1

Minimum energy for neutron cross section data

NEUTRON_EMAX

1

Maximum energy for neutron cross section data

Photon energy grid
Parameter

Size

Description

PHOTON_ERG_NE

1

Number of points in photon unionized energy grid

PHOTON_EMIN

1

Minimum energy for photon cross section data

PHOTON_EMAX

1

Maximum energy for photon cross section data

Unresolved resonance probability table sampling
Parameter

Size

Description

URES_DILU_CUT

1

Density cutoff used for unresolved resonance probability table sampling

URES_EMIN

1

Minimum energy for unresolved resonance range

URES_EMAX

1

Maximum energy for unresolved resonance range

URES_AVAIL

1

Number of nuclides with probability table data

URES_USED

1

Number of nuclides for which probability table sampling was used

Nuclides and reaction channels
Parameter

Size

Description

TOT_NUCLIDES

1

Total number of nuclides

TOT_TRANSPORT_NUCLIDES

1

Total number of nuclides with transport cross sections

TOT_DOSIMETRY_NUCLIDES

1

Total number of nuclides with dosimetry cross sections

TOT_DECAY_NUCLIDES

1

Total number of decay nuclides (without transport cross sections)

TOT_PHOTON_NUCLIDES

1

Total number of nuclides with photon cross section data

TOT_REA_CHANNELS

1

Total number of reaction channels

TOT_TRANSMU_REA

1

Total number of transmutation reactions

Physics
Neutron physics options
Parameter

Size

Description

USE_DELNU

1

Flag indicating whether or not delayed neutron emission is on (see set delnu input option)

USE_URES

1

Flag indicating whether or not unresolved resonance probability table sampling is on (see set ures input option)

USE_DBRC

1

Flag indicating whether or not Dopplerbroadening rejection correction is on (see set dbrc input option)

IMPL_CAPT

1

Flag indicating whether or not implicit capture reaction mode is on (see set impl input option)

IMPL_NXN

1

Flag indicating whether or not implicit nxn reaction mode is on (see set impl input option)

IMPL_FISS

1

Flag indicating whether or not implicit fission reaction mode is on (see set impl input option)

IMPL_FISS_NUBAR

1

Flag indicating wether or not implicit fission nubar reaction mode is on (see set impl input option)

DOPPLER_PREPROCESSOR

1

Flag indicating whether or not Dopplerbroadening preprocessor is on (see tmp option, in mat card)

TMS_MODE

1

Flag indicating whether or not target motion sampling is on (see tms option, in mat card)

SAMPLE_FISS

1

Flag indicating whether or not fission reactions are handled (see set nphys input option)

SAMPLE_CAPT

1

Flag indicating whether or not capture reactions are handled (see set nphys input option)

SAMPLE_SCATT

1

Flag indicating whether or not scattering reactions are handled (see set nphys input option)

Photon physics options
Parameter

Size

Description

COMPTON_EKN

1

Photon energy above which KleinNishina is used for calculating energy and direction of the scattered photons (see set ekn input option)

COMPTON_DOPPLER

1

Flag indicating whether or not Doppler broadening method for the energy spectrum of the scattered photons is on (see set cdop input option)

COMPTON_EANG

1

Flag indicating whether or not Compton electron angular distribution model is on (see set cea input option)

PHOTON_TTB

1

Flag indicating whether or not thicktarget bremsstrahlung approximation for modelling electrons and positrons is on (see set ttb input option)

Photon production
Parameter

Size

Description

PHOTON_SAMPLING_MODE

1

Flag indicating whether or not photon production from neutron reactions mode is on (see set ngamma input option)

PHOTON_SAMPLING_FAIL

2

Fraction of failed photon samples

Energy deposition
Notes:
 The list of fission energy release components includes: (1) EFR, kinetic energy of the fission products (following prompt neutron emission from the fission fragments); (2) ENP, kinetic energy of the prompt fission neutrons; (3) END, kinetic energy of the delayed fission neutrons; (4) EGP, total energy release by the emission of prompt gamma rays; (5) EGD, total energy release by the emission of delayed gamma rays; (6) EB, total energy release by delayed beta’s; (7) ENU, energy carried away by neutrinos; (8) ER, total energy less the energy of the neutrinos (ET  ENU), equal to the pseudoQvalue in File 3 for MT=18; (9) ET, sum of all the partial energies previously listed, corresponding to the total energy release per fission and equal the Qvalue.
Parameter

Size

Description

EDEP_MODE

1

Energy deposition mode (see set edepmode input option)

EDEP_DELAYED

1

Energy of delayed components in energy deposition calculations (see set edepdel input option)

EDEP_KEFF_CORR

1

Flag indicating whether or not correction for energy deposition estimates in noncritical systems (see set edepkcorr input option)

EDEP_LOCAL_EGD

1

Energy distribution of delayed components in energy deposition calculations, mode 3 (see set edepdel input option)

EDEP_COMP

9

Fission energy release components: EFR, ENP, END, EGP, EGD, EB, ENU, ER, ET.

EDEP_CAPT_E

1

Additional energy release in capture reactions, mode 1 (see set edepmode input option)

Radioactivity data
Notes:
 The values are given at the current burnup point (depletion step).
Parameter

Size

Description

TOT_ACTIVITY

1

Total activity

TOT_DECAY_HEAT

1

Total decay heat

TOT_SF_RATE

1

Total spontaneous fission rate

ACTINIDE_ACTIVITY

1

Actinide activity

ACTINIDE_DECAY_HEAT

1

Actinide decay heat

FISSION_PRODUCT_ACTIVITY

1

Fission product activity

FISSION_PRODUCT_DECAY_HEAT

1

Fission product decay heat

INHALATION_TOXICITY

1

Total inhalation toxicity

INGESTION_TOXICITY

1

Total ingestion toxicity

ACTINIDE_INH_TOX

1

Actinide inhalation toxicity

ACTINIDE_ING_TOX

1

Actinide ingestion toxicity

FISSION_PRODUCT_INH_TOX

1

Fission product inhalation toxicity

FISSION_PRODUCT_ING_TOX

1

Fission product ingestion toxicity

SR90_ACTIVITY

1

Sr90 activity

TE132_ACTIVITY

1

Te132 activity

I131_ACTIVITY

1

I131 activity

I132_ACTIVITY

1

I132 activity

CS134_ACTIVITY

1

Cs134 activity

CS137_ACTIVITY

1

Cs137 activity

PHOTON_DECAY_SOURCE

1

Total photon decay source rate

NEUTRON_DECAY_SOURCE

1

Total neutron decay source rate

ALPHA_DECAY_SOURCE

1

Total alpha decay source rate

ELECTRON_DECAY_SOURCE

1

Total beta decay source rate

Normalization coefficient
Parameter

Size

Description

NORM_COEF

2/2

Proportionality constant between the simulated events and the "physical" events that the simulated events represent, for neutrons and photons.

Parameters for burnup calculation
Parameter

Size

Description

BURN_MATERIALS

1

Number of depleted materials.

BURN_MODE

1

Burnup mode: 1 = TTA, 2 = CRAM (see set bumode input option).

BURN_STEP

1

Burnup step index.

BURN_RANDOMIZE_DATA

3

Flag indicating whether or not randomize data is set on: decay constants, fission yields and decay heat (see set rnddec input option).

BURNUP

2

Burnup at the current step (in MWd/kgU): cumulative and realcumulative.

BURN_DAYS

2

Number of burn days at the current step: cumulative and stepwise.

FIMA

3

Number of fissions per initial fissile atom at the current step: relative stepwise, increment stepwise, final stepwise.

Coefficient calculation
Parameter

Size

Description

COEF_IDX

2

Coefficient index when output is printed and total number of coefficient calculations

COEF_BRANCH

1

Branch index within coefficient calculation when output is printed

COEF_BU_STEP

1

Burnup step at the given coefficient calculation when output is printed

Analog reaction rate estimators
Parameter

Size

Description

CONVERSION_RATIO

2

Analog estimate of conversion rate, ratio between fissile production and loss rate

TH232_FISS

4

Analog estimate of Th232 fission rate (total/fraction)

U233_FISS

4

Analog estimate of U233 fission rate (total/fraction)

U235_FISS

4

Analog estimate of U235 fission rate (total/fraction)

U238_FISS

4

Analog estimate of U238 fission rate (total/fraction)

PU239_FISS

4

Analog estimate of Pu239 fission rate (total/fraction)

PU240_FISS

4

Analog estimate of Pu240 fission rate (total/fraction)

PU241_FISS

4

Analog estimate of Pu241 fission rate (total/fraction)

TH232_CAPT

4

Analog estimate of Th232 capture rate (total/fraction)

U233_CAPT

4

Analog estimate of U233 capture rate (total/fraction)

U235_CAPT

4

Analog estimate of U235 capture rate (total/fraction)

U238_CAPT

4

Analog estimate of U238 capture rate (total/fraction)

PU239_CAPT

4

Analog estimate of Pu239 capture rate (total/fraction)

PU240_CAPT

4

Analog estimate of Pu240 capture rate (total/fraction)

PU241_CAPT

4

Analog estimate of Pu241 capture rate (total/fraction)

XE135_CAPT

4

Analog estimate of Xe135 capture rate (total/fraction)

Particle balance
Neutron balance (particles/weight)
Parameter

Size

Description

BALA_SRC_NEUTRON_SRC

1/1

Neutron produced by external source

BALA_SRC_NEUTRON_FISS

1/1

Neutron produced by fission

BALA_SRC_NEUTRON_NXN

1/1

Neutron produced by scattering

BALA_SRC_NEUTRON_VR

1/1

Neutron produced by variance reduction (Russian roulette, splitting)

BALA_SRC_NEUTRON_TOT

1/1

Total neutron produced

BALA_LOSS_NEUTRON_CAPT

1/1

Neutron lost by capture

BALA_LOSS_NEUTRON_FISS

1/1

Neutron lost by fission

BALA_LOSS_NEUTRON_LEAK

1/1

Neutron lost by leakage

BALA_LOSS_NEUTRON_CUT

1/1

Neutron lost by cutoff

BALA_LOSS_NEUTRON_ERR

1/1

Neutron lost by failed tracking

BALA_LOSS_NEUTRON_TOT

1/1

Total neutron lost

BALA_NEUTRON_DIFF

1/1

Difference between total neutron produced and lost

Photon balance (particles/weight/energyweighted)
Parameter

Size

Description

BALA_SRC_PHOTON_SRC

1/1/1

Photon produced by external source

BALA_SRC_PHOTON_TTB

1/1/1

Photon produced by bremsstrahlung

BALA_SRC_PHOTON_ANNIH

1/1/1

Photon produced by annihilation

BALA_SRC_PHOTON_FLUOR

1/1/1

Photon produced by fluorescence

BALA_SRC_PHOTON_NREA

1/1/1

Photon produced by neutron reaction

BALA_SRC_PHOTON_VR

1/1/1

Photon produced by variance reduction (Russian roulette, splitting)

BALA_SRC_PHOTON_TOT

1/1/1

Total photon produced

BALA_LOSS_PHOTON_CAPT

1/1

Photon lost by capture

BALA_LOSS_PHOTON_LEAK

1/1

Photon lost by leakage

BALA_LOSS_PHOTON_CUT

1/1

Photon lost by cutoff

BALA_LOSS_PHOTON_ERR

1/1

Photon lost by failed tracking

BALA_LOSS_PHOTON_TOT

1/1

Total photon lost

BALA_PHOTON_DIFF

1/1

Difference between total photon produced and lost

Integral results
Normalized total reaction rates (neutrons)
Notes:
 In burnup calculations the values correspond to total, burnable and nonburnable rates
Parameter

Size

Description

TOT_POWER

2(6)

Total neutron fission power

TOT_POWDENS

2(6)

Total neutron fission power density

TOT_GENRATE

2(6)

Total neutron generation rate

TOT_FISSRATE

2(6)

Total neutron fission rate

TOT_CAPTRATE

2(6)

Total neutron capture rate

TOT_ABSRATE

2(6)

Total neutron absorption rate

TOT_SRCRATE

2(6)

Total neutron source rate

TOT_FLUX

2(6)

Total neutron flux

TOT_PHOTON_PRODRATE

4

Total neutronphoton production rate (implicit/analog)

TOT_LEAKRATE

2

Total neutron leakage rate

ALBEDO_LEAKRATE

2

Albedo neutron leakage rate

TOT_LOSSRATE

2

Total neutron loss rate

TOT_CUTRATE

2

Total neutron energy cutoff rate

TOT_RR

2

Total neutron reaction rate

TOT_XE135_ABSRATE

2

Total neutron absorption rate in Xe135

TOT_SM149_ABSRATE

2

Total neutron absorption rate in Sm149

INI_FMASS

1

Initial fissile mass

TOT_FMASS

1

Total fissile mass

INI_BURN_FMASS

1

Initial fissile mass in burnable materials

TOT_BURN_FMASS

1

Total fissile mass in burnable materials

Normalized total reaction rates (photons)
Parameter

Size

Description

TOT_PHOTON_LEAKRATE

2

Total photon leakage rate

TOT_PHOTON_CUTRATE

2

Total photon energy cutoff rate

PHOTOELE_CAPT_RATE

2

Photoelectric photon capture rate

PAIRPROD_CAPT_RATE

2

Pair production photon capture rate

TOT_PHOTON_LOSSRATE

2

Total photon loss rate

TOT_PHOTON_SRCRATE

2

Total photon source rate

TOT_PHOTON_RR

2

Total photon reaction rate

TOT_PHOTON_FLUX

2

Total photon flux

TOT_PHOTON_HEATRATE

2

Total photon heating rate

Equilibrium Xe135 iteration
Parameter

Size

Description

XE135_EQUIL_CONC

2

Averaged equilibrium Xe135 concentration (see set xenon input option)

I135_EQUIL_CONC

2

Averaged equilibrium I135 concentration (see set xenon input option)

Equilibrium Sm149 iteration
Parameter

Size

Description

SM149_EQUIL_CONC

2

Averaged equilibrium Sm149 concentration (see set samarium input option)

PM149_EQUIL_CONC

2

Averaged equilibrium Pm149 concentration (see set samarium input option)

Iteration factor
Parameter

Size

Description

ITER_FACTOR

2

Iteration factor of critical density iteration (see set iter nuc input option) or albedo iteration (see set iter alb input option)

Sixfactor formula
Parameter

Size

Description

SIX_FF_ETA

2

Analog estimate of average number of neutrons emitted per thermal neutron absorbed in fuel

SIX_FF_F

2

Analog estimate of thermal utilization factor

SIX_FF_P

2

Analog estimate of resonance escape probability

SIX_FF_EPSILON

2

Analog estimate of fast fission factor

SIX_FF_LF

2

Analog estimate of fast nonleakage probability

SIX_FF_LT

2

Analog estimate of thermal nonleakage probability

SIX_FF_KINF

2

Analog estimate of sixfactor k_{inf} (fourfactor k_{eff})

SIX_FF_KEFF

2

Analog estimate of sixfactor k_{eff}

Fission neutron and energy production
Parameter

Size

Description

NUBAR

2

Average fission neutron yield

FISSE

2

Average fission energy production

Criticality eigenvalues / Multiplication factor external source
Parameter

Size

Description

ANA_KEFF

6(2)

Analog estimate of k_{eff}: total, prompt and delayed neutron contribution.

IMP_KEFF

2

Implicit estimate of k_{eff}.

COL_KEFF

2

Collision estimate of k_{eff}.

ABS_KEFF

2

Absorption estimate of k_{eff}.

ABS_KINF

2

Absorption estimate of k_{inf}.

ANA_EXT_K

20

Generationwise source multiplication factors in external source mode

SRC_MULT

2

Source multiplication factor in external source mode

MEAN_NGEN

2

Mean number of generations in external source mode

PROMPT_GEN_POP

N_{G}

Prompt fission population generation fraction

PROMPT_GEN_CUMU

N_{G}

Prompt fission cumulative generation fraction

PROMPT_GEN_TIMES

N_{G}

Prompt fission time generation fraction

PROMPT_CHAIN_LENGTH

2

Mean prompt chain length in external source mode

GEOM_ALBEDO

6

Fixed or iterated value for albedo boundary condition for x,y and zdirections (see set bc or set iter alb input options).

Wielandt method
Parameter

Size

Description

WIELANDT_K

2

Wielandt’s method shifted eigenvalue (see set wie input option)

WIELANDT_P

2

Wielandt’s method neutron banking probability (see set wie input option)

ALF (Average lethargy of neutrons causing fission)
Parameter

Size

Description

ANA_ALF

2

Analog estimate of average lethargy of neutrons causing fission

IMP_ALF

2

Implicit estimate of average lethargy of neutrons causing fission

EALF (Energy corresponding to average lethargy of neutrons causing fission)
Parameter

Size

Description

ANA_EALF

2

Analog estimate of energy corresponding to the average lethargy of neutrons causing fission

IMP_EALF

2

Implicit estimate of energy corresponding to the average lethargy of neutrons causing fission

AFGE (Average energy of neutrons causing fission)
Parameter

Size

Description

ANA_AFGE

2

Analog estimate of average energy of neutrons causing fission

IMP_AFGE

2

Implicit estimate of average energy of neutrons causing fission

Time constants
Forwardweighted delayed neutron parameters
Parameter

Size

Description

PRECURSOR_GROUPS

1

Number of delayed neutron precursor groups (referred to as D below)

FWD_ANA_BETA_ZERO

2D + 2

Analog estimator of physical delayed neutron fractions (number of delayed neutrons emitted in fission): total, groupwise

FWD_ANA_LAMBDA

2D + 2

Analog estimator of delayed neutron precursor decay constants: total, groupwise

Betaeff using Meulekamp's method
Parameter

Size

Description

ADJ_MEULEKAMP_BETA_EFF

2D + 2

Adjointweighted effective delayed neutron fractions using Meulekamp's method: total, groupwise

ADJ_MEULEKAMP_LAMBDA

2D + 2

Adjointweighted of delayed neutron precursor decay constants using Meulekamp's method: total, groupwise

Adjoint weighted time constants using Nauchi's method
Parameter

Size

Description

IFP_CHAIN_LENGTH

1

Number of generations within the iterated fission probability method

ADJ_NAUCHI_GEN_TIME

6

Adjointweighted neutron generation times using Nauchi's method: total, prompt, delayed

ADJ_NAUCHI_LIFETIME

6

Adjointweighted neutron lifetimes using Nauchi's method: total, prompt, delayed.

ADJ_NAUCHI_BETA_EFF

2D + 2

Adjointweighted effective delayed neutron fractions using Nauchi's method: total, groupwise

ADJ_NAUCHI_LAMBDA

2D + 2

Adjointweighed of delayed neutron precursor decay constants using Nauchi's method: total, groupwise

Adjoint weighted time constants using IFP
Parameter

Size

Description

ADJ_IFP_GEN_TIME

6

Adjointweighted neutron generation times using the iterated fission probability method: total, prompt, delayed

ADJ_IFP_LIFETIME

6

Adjointweighted neutron lifetimes using the iterated fission probability method: total, prompt, delayed

ADJ_IFP_IMP_BETA_EFF

2D + 2

Implicit estimator of adjointweighted effective delayed neutron fractions using the iterated fission probability method: total, groupwise

ADJ_IFP_IMP_LAMBDA

2D + 2

Implicit estimator of adjointweighted of delayed neutron precursor decay constants using the iterated fission probability method: total, groupwise

ADJ_IFP_ANA_BETA_EFF

2D + 2

Analog estimator of adjointweighted effective delayed neutron fractions using the iterated fission probability method: total, groupwise

ADJ_IFP_ANA_LAMBDA

2D + 2

Analog estimator of adjointweighted of delayed neutron precursor decay constants using the iterated fission probability method: total, groupwise

ADJ_IFP_ROSSI_ALPHA

2

Adjointweighted Rossi alpha using the iterated fission probability method

Adjoint weighted time constants using perturbation technique
Parameter

Size

Description

ADJ_PERT_GEN_TIME

2

Adjointweighted neutron generation time using the perturbation technique

ADJ_PERT_LIFETIME

2

Adjointweighted neutron lifetime using the perturbation technique

ADJ_PERT_BETA_EFF

2

Adjointweighted effective delayed neutron fraction using the perturbation technique

ADJ_PERT_ROSSI_ALPHA

2

Adjointweighted Rossi alpha using the perturbation technique

Inverse neutron speed
Parameter

Size

Description

ANA_INV_SPD

2

Analog estimate of inverse neutron speed

Analog slowingdown and thermal neutron lifetime (total/prompt/delayed)
Parameter

Size

Description

ANA_SLOW_TIME

6

Analog estimate of slowingdown time: total, prompt, delayed

ANA_THERM_TIME

6

Analog estimate of thermal neutron lifetime: total, prompt, delayed

ANA_THERM_FRAC

6

Analog estimate of neutron thermalisation fraction: total, prompt, delayed

ANA_DELAYED_EMTIME

2

Analog estimate of delayed neutron emission time

ANA_MEAN_NCOL

4

Analog estimate of average number of collisions per history: total and to fission

Dynamic simulation
Parameter

Size

Description

DYN_NB

1

Number of time intervals defined in the timebin structure (see tme card)

DYN_TMIN

1

Minimum time boundary defined in the timebin structure (see tme card)

DYN_TMAX

1

Maximum time boundary defined in the timebin structure (see tme card)

DYN_TIMES

2T + 2

Timebin boundaries defined in the timebin structure (see tme card)

DYN_POP

2T

Neutron population at the end of the time interval

DYN_PERIOD

2T

Reactor period based on increase/decrease of neutron population during time interval

Analog mean photon lifetime
Parameter

Size

Description

ANA_LIFETIME

2

Analog estimator of photon lifetime

Homogenized group constants
Notes:
 Group constants are calculated by first homogenizing the geometry using a multigroup structure with H energy groups. The data is then collapsed into the final fewgroup structure with G groups using the infinite and leakagecorrected flux spectra.
 The methodology used in Serpent for spatial homogenization is described in a paper published in Annals of Nuclear Energy in 2016.^{[1]}
 The fundamental mode calculation is off by default, and invoked by the set fum option. Otherwise all values with B1 prefix are printed as zeros.
 The intermediate multigroup structure is defined using option set micro or set fum.
 The fewgroup structure is defined using option set nfg.
 The universes in which the group constants are calculated are listed in option set gcu. The calculation is performed for root universe 0 by default, and can be switched off with "set gcu 1".
 If data is produced in multiple universes within a single run, the data is assigned with different run indexes (idx)
 The parameter names can be listed in the set coefpara option, and they will be included in the group constant output file when the automated burnup sequence is invoked.
 The order in which twodimensional data (scattering matrices, ADF and pinpower parameters) is printed in the [input].coe output file is different from what is listed below in update 2.1.24 and earlier versions.
Common parameters
Parameter

Size

Description

GC_UNIVERSE_NAME

(string)

Name of the universe where spatial homogenization was performed

MICRO_NG

1

Number of energy groups in the intermediate multigroup structure (referred to as H below)

MICRO_E

H + 1

Group boundaries in the intermediate multigroup structure (in ascending order)

MACRO_NG

1

Number of energy groups in the final fewgroup structure (referred to as G below)

MACRO_E

G + 1

Group boundaries in the final fewgroup structure (in descending order)

Group constants homogenized in infinite spectrum
Parameter

Size

Description

INF_MICRO_FLX

2H

Multigroup flux spectrum (integral, unnormalized)

INF_FLX

2G

Fewgroup flux (integral, normalized)

INF_KINF

2

Infinite multiplication factor

Reaction cross sections
Parameter

Size

Description

INF_TOT

2G

Total cross section

INF_CAPT

2G

Capture cross section

INF_FISS

2G

Fission cross section

INF_NSF

2G

Fission neutron production cross section

INF_KAPPA

2G

Average deposited fission energy (MeV)

INF_INVV

2G

Inverse neutron speed (s/cm)

INF_NUBAR

2G

Average neutron yield

INF_ABS

2G

Absorption cross section (capture + fission)

INF_REMXS

2G

Removal cross section (groupremoval + absorption)

INF_RABSXS

2G

Reduced absorption cross section (total  scattering production)

Fission spectra
Parameter

Size

Description

INF_CHIT

2G

Fission spectrum (total)

INF_CHIP

2G

Fission spectrum (prompt neutrons)

INF_CHID

2G

Fission spectrum (delayed neutrons)

Scattering cross sections
Notes:
 Scattering production includes multiplying (n,2n), (n,3n), etc. reactions.
Parameter

Size

Description

INF_SCATT0

2G

Total P_{0} scattering cross section

INF_SCATT1

2G

Total P_{1} scattering cross section

INF_SCATT2

2G

Total P_{2} scattering cross section

INF_SCATT3

2G

Total P_{3} scattering cross section

INF_SCATT4

2G

Total P_{4} scattering cross section

INF_SCATT5

2G

Total P_{5} scattering cross section

INF_SCATT6

2G

Total P_{6} scattering cross section

INF_SCATT7

2G

Total P_{7} scattering cross section

INF_SCATTP0

2G

Total P_{0} scattering production cross section

INF_SCATTP1

2G

Total P_{1} scattering production cross section

INF_SCATTP2

2G

Total P_{2} scattering production cross section

INF_SCATTP3

2G

Total P_{3} scattering production cross section

INF_SCATTP4

2G

Total P_{4} scattering production cross section

INF_SCATTP5

2G

Total P_{5} scattering production cross section

INF_SCATTP6

2G

Total P_{6} scattering production cross section

INF_SCATTP7

2G

Total P_{7} scattering production cross section

Scattering matrices
Notes:
 Scattering production includes multiplying (n,2n), (n,3n), etc. reactions.
 The order of values ([input].coe) or value pairs ([input]_res.m) is: where refers to scattering from group g to g'.
 The data in the [input]_res.m file can be read into a G × G matrix with Matlab reshapecommand, for example:
reshape(INF_S0(idx,1:2:end), G, G);
Parameter

Size

Description

INF_S0

2G^{2}

P_{0} scattering matrix

INF_S1

2G^{2}

P_{1} scattering matrix

INF_S2

2G^{2}

P_{2} scattering matrix

INF_S3

2G^{2}

P_{3} scattering matrix

INF_S4

2G^{2}

P_{4} scattering matrix

INF_S5

2G^{2}

P_{5} scattering matrix

INF_S6

2G^{2}

P_{6} scattering matrix

INF_S7

2G^{2}

P_{7} scattering matrix

INF_SP0

2G^{2}

P_{0} scattering production matrix

INF_SP1

2G^{2}

P_{1} scattering production matrix

INF_SP2

2G^{2}

P_{2} scattering production matrix

INF_SP3

2G^{2}

P_{3} scattering production matrix

INF_SP4

2G^{2}

P_{4} scattering production matrix

INF_SP5

2G^{2}

P_{5} scattering production matrix

INF_SP6

2G^{2}

P_{6} scattering production matrix

INF_SP7

2G^{2}

P_{7} scattering production matrix

Diffusion parameters
Notes:
 Calculation of sensible values for INF_TRANSPXS and INF_DIFFCOEF requires fine enough intermediate multigroup structure.
 The cumulative migration method ^{[2]} (CMM) was first developed for the OpenMC code.
 CMM diffusion coefficients and transport cross sections are reasonable only when they are calculated over entire geometry (homogenized region covers the entire geometry and is surrounded by periodic or reflective boundary conditions). This means that e.g. pin cell CMM diffusion coefficients can not be calculated from a 2D fuel assembly calculation.
 Calculation of TRC_TRANSPXS and TRC_DIFFCOEF requires defining energydependent correction factors using the set trc option.
 Calculation of CMM_TRANSPXS and CMM_DIFFCOEF requires that their calculation is not switched off using the set cmm option.
Parameter

Size

Description

INF_TRANSPXS

2G

Transport cross section (calculated using the outscattering approximation)

INF_DIFFCOEF

2G

Diffusion coefficient (calculated using the outscattering approximation)

CMM_TRANSPXS

2G

Transport cross section calculated using the cumulative migration method (equivalent with the inscattering approximation)

CMM_TRANSPXS_X

2G

Xcomponent of the directional transport cross section calculated using the cumulative migration method (equivalent with the inscattering approximation)

CMM_TRANSPXS_Y

2G

Ycomponent of the directional transport cross section calculated using the cumulative migration method (equivalent with the inscattering approximation)

CMM_TRANSPXS_Z

2G

Zcomponent of the directional transport cross section calculated using the cumulative migration method (equivalent with the inscattering approximation)

CMM_DIFFCOEF

2G

Diffusion coefficient calculated using the cumulative migration method (equivalent with the inscattering approximation)

CMM_DIFFCOEF_X

2G

Xcomponent of the directional diffusion coefficient calculated using the cumulative migration method (equivalent with the inscattering approximation)

CMM_DIFFCOEF_Y

2G

Ycomponent of the directional diffusion coefficient calculated using the cumulative migration method (equivalent with the inscattering approximation)

CMM_DIFFCOEF_Z

2G

Zcomponent of the directional diffusion coefficient calculated using the cumulative migration method (equivalent with the inscattering approximation)

TRC_TRANSPXS

2G

Transport cross section calculated by applying userdefined transport correction factors to total cross section

TRC_DIFFCOEF

2G

Diffusion coefficient calculated by applying userdefined transport correction factors to total cross section

Poison cross sections
Notes:
 Printed only if poison cross section option is on (see set poi).
 Xe135m values printed only if separate treatment of Xe135m is on (see set poi).
 Approximate effective treatment of Pm149 production from Pm148 and Pm148m is not included in Pm149 fission yield.
 All values for I135, Pm147, Pm148 and Pm148m not present in all versions.
Parameter

Size

Description

INF_I135_YIELD

2G

Fission yield of I135 (cumulative, includes all precursors)

INF_XE135_YIELD

2G

Fission yield of Xe135

INF_XE135M_YIELD

2G

Fission yield of Xe135m

INF_PM149_YIELD

2G

Fission yield of Pm149 (cumulative, includes all precursors)

INF_SM149_YIELD

2G

Fission yield of Sm149

INF_I135_MICRO_ABS

2G

Microscopic absorption cross section of I135

INF_XE135_MICRO_ABS

2G

Microscopic absorption cross section of Xe135

INF_XE135M_MICRO_ABS

2G

Microscopic absorption cross section of Xe135m

INF_PM147_MICRO_ABS

2G

Microscopic absorption cross section of Pm147

INF_PM148_MICRO_ABS

2G

Microscopic absorption cross section of Pm148

INF_PM148M_MICRO_ABS

2G

Microscopic absorption cross section of Pm148m

INF_PM149_MICRO_ABS

2G

Microscopic absorption cross section of Pm149

INF_SM149_MICRO_ABS

2G

Microscopic absorption cross section of Sm149

INF_I135_MACRO_ABS

2G

Macroscopic absorption cross section of I135

INF_XE135_MACRO_ABS

2G

Macroscopic absorption cross section of Xe135

INF_XE135M_MACRO_ABS

2G

Macroscopic absorption cross section of Xe135m

INF_PM147_MACRO_ABS

2G

Macroscopic absorption cross section of Pm147

INF_PM148_MACRO_ABS

2G

Macroscopic absorption cross section of Pm148

INF_PM148M_MACRO_ABS

2G

Macroscopic absorption cross section of Pm148M

INF_PM149_MACRO_ABS

2G

Macroscopic absorption cross section of Pm149

INF_SM149_MACRO_ABS

2G

Macroscopic absorption cross section of Sm149

Poison universeaveraged densities
Notes:
 The universeaveraged atomic density is defined to be such that ADENS*MICRO_ABS is equal to MACRO_ABS.^{[3]}
Parameter

Size

Description

I135_ADENS

2

Universeaveraged atomic density of I135

XE135_ADENS

2

Universeaveraged atomic density of Xe135

XE135M_ADENS

2

Universeaveraged atomic density of Xe135m

PM147_ADENS

2

Universeaveraged atomic density of Pm147

PM148_ADENS

2

Universeaveraged atomic density of Pm147

PM148M_ADENS

2

Universeaveraged atomic density of Pm148m

PM149_ADENS

2

Universeaveraged atomic density of Pm149

Poison decay constants
Parameter

Size

Description

PM147_LAMBDA

1

Decay constant of Pm147

PM148_LAMBDA

1

Decay constant of Pm147

PM148M_LAMBDA

1

Decay constant of Pm148m

PM149_LAMBDA

1

Decay constant of Pm149

I135_LAMBDA

1

Decay constant of I135

XE135_LAMBDA

1

Decay constant of Xe135

XE135M_LAMBDA

1

Decay constant of Xe135m

I135_BR

1

Branching ratio of I135 decay to Xe135. Branching ratio of I135 decay to Xe135m is (1  I135_BR).

Group constants homogenized in leakagecorrected spectrum
Parameter

Size

Description

B1_MICRO_FLX

2H

Multigroup flux spectrum (integral, unnormalized)

B1_FLX

2G

Fewgroup flux (integral, normalized)

B1_KINF

2

Infinite multiplication factor

B1_KEFF

2

Effective multiplication factor

B1_B2

2

Critical buckling

B1_ERR

2

Absolute deviation of k_{eff} from unity

Reaction cross sections
Parameter

Size

Description

B1_TOT

2G

Total cross section

B1_CAPT

2G

Capture cross section

B1_FISS

2G

Fission cross section

B1_NSF

2G

Fission neutron production cross section

B1_KAPPA

2G

Average deposited fission energy (MeV)

B1_INVV

2G

Inverse neutron speed (s/cm)

B1_NUBAR

2G

Average neutron yield

B1_ABS

2G

Absorption cross section (capture + fission)

B1_REMXS

2G

Removal cross section (groupremoval + absorption)

B1_RABSXS

2G

Reduced absorption cross section (total  scattering production)

Fission spectra
Parameter

Size

Description

B1_CHIT

2G

Fission spectrum (total)

B1_CHIP

2G

Fission spectrum (prompt neutrons)

B1_CHID

2G

Fission spectrum (delayed neutrons)

Scattering cross sections
Notes:
 Scattering production includes multiplying (n,2n), (n,3n), etc. reactions.
Parameter

Size

Description

B1_SCATT0

2G

Total P_{0} scattering cross section

B1_SCATT1

2G

Total P_{1} scattering cross section

B1_SCATT2

2G

Total P_{2} scattering cross section

B1_SCATT3

2G

Total P_{3} scattering cross section

B1_SCATT4

2G

Total P_{4} scattering cross section

B1_SCATT5

2G

Total P_{5} scattering cross section

B1_SCATT6

2G

Total P_{6} scattering cross section

B1_SCATT7

2G

Total P_{7} scattering cross section

B1_SCATTP0

2G

Total P_{0} scattering production cross section

B1_SCATTP1

2G

Total P_{1} scattering production cross section

B1_SCATTP2

2G

Total P_{2} scattering production cross section

B1_SCATTP3

2G

Total P_{3} scattering production cross section

B1_SCATTP4

2G

Total P_{4} scattering production cross section

B1_SCATTP5

2G

Total P_{5} scattering production cross section

B1_SCATTP6

2G

Total P_{6} scattering production cross section

B1_SCATTP7

2G

Total P_{7} scattering production cross section

Scattering matrices
Notes:
 Scattering production includes multiplying (n,2n), (n,3n), etc. reactions.
 The order of values ([input].coe) or value pairs ([input]_res.m) is: where refers to scattering from group g to g'.
 The data in the [input]_res.m file can be read into a G × G matrix with Matlab reshapecommand, for example:
reshape(B1_S0(idx,1:2:end), G, G).
Parameter

Size

Description

B1_S0

2G^{2}

P_{0} scattering matrix

B1_S1

2G^{2}

P_{1} scattering matrix

B1_S2

2G^{2}

P_{2} scattering matrix

B1_S3

2G^{2}

P_{3} scattering matrix

B1_S4

2G^{2}

P_{4} scattering matrix

B1_S5

2G^{2}

P_{5} scattering matrix

B1_S6

2G^{2}

P_{6} scattering matrix

B1_S7

2G^{2}

P_{7} scattering matrix

B1_SP0

2G^{2}

P_{0} scattering production matrix

B1_SP1

2G^{2}

P_{1} scattering production matrix

B1_SP2

2G^{2}

P_{2} scattering production matrix

B1_SP3

2G^{2}

P_{3} scattering production matrix

B1_SP4

2G^{2}

P_{4} scattering production matrix

B1_SP5

2G^{2}

P_{5} scattering production matrix

B1_SP6

2G^{2}

P_{6} scattering production matrix

B1_SP7

2G^{2}

P_{7} scattering production matrix

Diffusion parameters
Parameter

Size

Description

B1_TRANSPXS

2G

Transport cross section (outscattering transport cross section collapsed with the critical spectrum when old B_{1} calculation mode is used, otherwise calculated from B1_DIFFCOEF)

B1_DIFFCOEF

2G

Diffusion coefficient calculated from during the fundamental mode calculation (old and new B_{1} and P_{1} calculation modes, or flux collapsed during the FM calculation mode)

Poison cross sections
Notes:
 Printed only if poison cross section option is on (see set poi).
 Xe135m values printed only if separate treatment of Xe135m is on (see set poi).
Parameter

Size

Description

B1_I135_YIELD

2G

Fission yield of I135 (cumulative, includes all precursors)

B1_XE135_YIELD

2G

Fission yield of Xe135

B1_XE135M_YIELD

2G

Fission yield of Xe135m

B1_PM149_YIELD

2G

Fission yield of Pm149 (cumulative, includes all precursors)

B1_SM149_YIELD

2G

Fission yield of Sm149

B1_I135_MICRO_ABS

2G

Microscopic absorption cross section of I135

B1_XE135_MICRO_ABS

2G

Microscopic absorption cross section of Xe135

B1_XE135M_MICRO_ABS

2G

Microscopic absorption cross section of Xe135m

B1_PM149_MICRO_ABS

2G

Microscopic absorption cross section of Pm149

B1_SM149_MICRO_ABS

2G

Microscopic absorption cross section of Sm149

B1_XE135_MACRO_ABS

2G

Macroscopic absorption cross section of Xe135

B1_XE135M_MACRO_ABS

2G

Macroscopic absorption cross section of Xe135m

B1_SM149_MACRO_ABS

2G

Macroscopic absorption cross section of Sm149

Delayed neutron data
Notes:
 The output consists of total, followed by D precursor groupwise values. In earlier versions, the output was fixed to 9 values independently of the library in use, with zero values corresponding to the empty precursor groups in the library.
 The actual number of groups depends on the cross section library used in the calculations. JEFF3.1, JEFF.3.2 and later evaluations use 8 precursor groups, while earlier evaluations, as well as all ENDF/B and JENDL data is based on 6 groups.
Parameter

Size

Description

BETA_EFF

2D + 2

Effective delayed neutron fraction (currently calculated using the Meulekamp method)

LAMBDA

2D + 2

Decay constants

Assembly discontinuity factors
Notes:
 Calculation of assembly discontinuity factors requires the set adf option.
 Surface flux and current tallies are used to calculate the boundary currents and fluxes. Midpoint and corner values are approximated by integrating over a small surface segment.
 The surface and volume fluxes are flux densities, i.e. they are surface or volume integrated fluxes divided by the respective surface area or volume.
 The currents are surface integrated values.
 The net current is defined as current in subtracted with current out.
 When the homogenized region is surrounded by reflective boundary conditions (zero netcurrent) the homogeneous flux becomes flat and equal to the volumeaveraged heterogeneous flux. When the net currents are nonzero, the homogeneous flux is obtained using the Builtin diffusion flux solver.
 The calculation currently supports only a limited number of surface types: infinite planes and square and hexagonal prisms.
 The order of surface and midpoint values for square prisms is: and the order of corner values: where refers to parameter on surface/corner k and energy group g.
 The order of surface values for Ytype hexagonal prims runs clockwise starting from the north, i.e. N, NE, SE, S, SW, NW. The corner values run counterclockwise starting from east, i.e. E, NE, NW, W, SW, SE.
 The order of surface values for Xtype hexagonal prims runs counterclockwise starting from the east, i.e. E, NE, NW, W, SW, SE. The corner values run clockwise starting from north, i.e. N, NE, SE, S, SW, NW.
 The sign moment weighted parameters are calculated only for surface types sqc, rect and hexxc.
 The convention of sign moment directions follows that of the nodal neutronics program Ants.
 The ADF symmetry options on set adf card are currently not used for sign moment weighted parameters.
Parameter

Size

Description

DF_SURFACE

(string)

Name of the surface used for the calculation

DF_SYM

1

Symmetry option defined in the input

DF_N_SURF

1

Number of surface values (denoted as N_{S} below)

DF_N_CORN

1

Number of corner values (denoted as N_{C} below)

DF_VOLUME

1

Volume (3D) or cross sectional area (2D) of the homogenized cell

DF_SURF_AREA

N_{S}

Area (3D) or perimeter length (2D) of the surface region

DF_MID_AREA

N_{S}

Area (3D) or perimeter length (2D) of the midpoint region

DF_CORN_AREA

N_{C}

Area (3D) or perimeter length (2D) of the corner region

DF_SURF_IN_CURR

2G × N_{S}

Inward surface currents

DF_SURF_OUT_CURR

2G × N_{S}

Outward surface currents

DF_SURF_NET_CURR

2G × N_{S}

Net surface currents

DF_MID_IN_CURR

2G × N_{S}

Inward midpoint currents

DF_MID_OUT_CURR

2G × N_{S}

Outward midpoint currents

DF_MID_NET_CURR

2G × N_{S}

Net midpoint currents

DF_CORN_IN_CURR

2G × N_{C}

Inward corner currents

DF_CORN_OUT_CURR

2G × N_{C}

Outward corner currents

DF_CORN_NET_CURR

2G × N_{C}

Net corner currents

DF_HET_VOL_FLUX

2G

Heterogeneous flux over homogenized cell

DF_HET_SURF_FLUX

2G × N_{S}

Heterogeneous surface fluxes

DF_HET_CORN_FLUX

2G × N_{C}

Heterogeneous corner fluxes

DF_HOM_VOL_FLUX

2G

Homogeneous flux over homogenized cell

DF_HOM_SURF_FLUX

2G × N_{S}

Homogeneous surface fluxes

DF_HOM_CORN_FLUX

2G × N_{C}

Homogeneous corner fluxes

DF_SURF_DF

2G × N_{S}

Surface discontinuity factors

DF_CORN_DF

2G × N_{C}

Corner discontinuity factors

DF_SGN_SURF_IN_CURR

2G × N_{S}

Inward sign moment weighted currents

DF_SGN_SURF_OUT_CURR

2G × N_{S}

Outward sign moment weighted currents

DF_SGN_SURF_NET_CURR

2G × N_{S}

Net sign moment weighted currents

DF_SGN_HET_SURF_FLUX

2G × N_{S}

Heterogeneous sign moment weighted surface fluxes

DF_SGN_HOM_SURF_FLUX

2G × N_{S}

Homogeneous sign moment weighted surface fluxes

DF_SGN_SURF_DF

2G × N_{S}

Sign moment weighted surface discontinuity factors

Pinpower form factors
Notes:
 Calculation of pinpower form factors requires the set ppw option.
 The power distribution is calculated by tallying the fewgroup fission energy deposition in each lattice position and dividing the values with the total energy produced in the universe (sum over all values of PPW_POW equals 1).
 The calculation of form factors depends on the boundary conditions:
 If the homogenized region is surrounded by reflective boundary conditions (zero netcurrent), the homogeneous flux becomes flat and equal to the volumeaveraged heterogeneous flux.
 When the net currents are nonzero, the homogeneous flux is obtained using the builtin diffusion flux solver. The formfactors (PPW_FF) are obtained by dividing the pin and groupwise powers with the corresponding homogeneous diffusion flux (PPW_HOM_FLUX).
 However, if the net currents are nonzero, but the sum of the net currents is equal to zero, the volumeaveraged heterogeneous flux is used as the homogeneous flux, which is not an accurate approximation. This case is for example when modeling hexagonal fuel assemblies with other than 30 or 60 degree symmetries with periodic boundary conditions.
 Running the diffusion flux solver currently requires ADF calculation.
 The order of values is: where refers to parameter of pin n and energy group g. For example, twogroup power distributions in a 17 x 17 lattice can be converted into matrix form using the reshapecommand in Matlab:
P1 = reshape(PPW_POW(1, 1:4:end), 17, 17);
P2 = reshape(PPW_POW(1, 3:4:end), 17, 17);
 Symmetry used in the lattice may result in some pin powers and form factors to be for example 1/2, 1/4 or 1/8 of their true value, which have to be corrected during post processing of the values.
Parameter

Size

Description

PPW_LATTICE

(string)

Name of the lattice used for the calculation

PPW_LATTICE_TYPE

1

Lattice type (corresponds to the latcard)

PPW_PINS

1

Number of pin positions in the lattice (denoted as N_{P} below)

PPW_POW

2G × N_{P}

Pin and groupwise power distribution normalized to unity sum

PPW_HOM_FLUX

2G × N_{P}

Pin and groupwise homogeneous flux distribution

PPW_FF

2G × N_{P}

Pin and groupwise form factors

Albedos
Notes:
 Calculation of albedos requires the set alb option.
 The order of the surfaces should be the same as for the ADFs.
 The order of ALB_IN_CURR is where refers to incoming partial current of surface k of group g.
 The order of ALB_OUT_CURR is where refers to outgoing partial current of surface k' of group g' which has entered the albedo surface through surface k and group g.
 The order of ALB_TOT_ALB is where refers to albedo from group g to g'.
 The order of ALB_PART_ALB is where refers to albedo of surface k' of group g' which has entered the albedo surface through surface k and group g.
 For example, twogroup hexagonal partial albedos can be converted into matrix form using the reshapecommand in Matlab with the notation part_alb(g', k', g, k) as
part_alb = reshape(ALB_PART_ALB(1, 1:2:end), 2, 6, 2, 6)
Parameter

Size

Description

ALB_SURFACE

(string)

Name of the surface used for the calculation

ALB_FLIP_DIR

1


ALB_N_SURF

1

Number of albedo surface faces (denoted as N_{S} below)

ALB_IN_CURR

2G × N_{S}

Groupwise incoming partial currents of albedo surface faces

ALB_OUT_CURR

2G^{2} × N_{S}^{2}

Outgoing group to group and face to face outgoing partial currents

ALB_TOT_ALB

2G^{2}

Total group to group albedos for the entire albedo surface

ALB_PART_ALB

2G^{2} × N_{S}^{2}

Partial group to group and face to face albedos

Miscellaneous notes for other outputs
References
 ^ Leppänen, J., Pusa, M. and Fridman, E. "Overview of methodology for spatial homogenization in the Serpent 2 Monte Carlo code." Ann. Nucl. Energy, 96 (2016) 126136.
 ^ Liu, Z., Smith, K., Forget, B. and Ortensi, J."Cumulative migration method for computing rigorous diffusion coefficients and transport cross sections from Monte Carlo." Ann. Nucl. Energy, 118 (2018) 507516.
 ^ Rintala, A., Valtavirta, V. and Leppänen, J.. Microscopic cross section calculation methodology in the Serpent 2 Monte Carlo code. Annals of Nuclear Energy, 164 (2021): 108603.