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1-2 PART !: NEUTRON SPECTRUM PARAMETER iEASURE^ENTS by P.M. French Chalk River Nuclear Laboratories Chalk River, Ontario November 1972 AECL-4260

PART !: NEUTRON SPECTRUM PARAMETER iEASURE^ENTS · Relative gold-copper, lutetium-copper, or indium-manganese, lutetium-manganese activity ratios were determined in the perturbed

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  • 1-2

    PART !: NEUTRON SPECTRUM PARAMETER iEASURE^ENTS

    by

    P.M. French

    Chalk River Nuclear Laboratories

    Chalk River, Ontario

    November 1972

    AECL-4260

  • URANIUM BOOSTER ROD EXPERIMENTS IN ZED-2

    PART I: NEUTRON SPECTRUM PARAMETER MEASUREMENTS

    bv

    P.M. French

    Chalk River Nuclear Laboratories

    Chalk River, Ontario

    November, 1972

    AECL-4260

  • URANIUM BOOSTER ROD EXPERIMENTS IN ZED-2

    PART I ; NEUTRON SPECTRUM PARAMETER MEASUREMENTS

    by

    P .M. F r e n c h

    A B S T R A C T

    Neutron spectrum parameter measurements were performed inthe ZED-2 critical facility with four types of 235U boosters.One type was nominally 20% enriched diJi:>U, 4.74 g " DU/cmlength; the other three were 93% enriched with 235U loadingsof 2.21 g/cm, 3.49 g/cm, and 4.88 g/cm. The boosters werelocated interstitially, parallel tc reference fuel assembliesIn some experiments, three boosters were inserted in threesymmetric configurations that varied the flux couplingbetween boosters. Measurements were also made with oneor three booster assemblies perpendicular to the referencefuel assemblies.

    Relative gold-copper, lutetium-copper, or indium-manganese,lutetium-manganese activity ratios were determined in theperturbed regions of the core and interpreted in terms ofthe Westcott spectral parameters r and T n or r/Tn/To.

    The results indicate that spectral perturbations are largenear the boosters, but do not extend much more than two orthree slowing down lengths from the booster sites.

    Manuscript prepared June 1972

    Chalk River Nuclear LaboratoriesChalk River, Ontario

    November 1972

    AECL-4260

  • Expériences effectuées, dans le ZED-2tavec des barres de surréactivité en uranium

    Première Partie: Mesure des paramètres de spectres de neutrons

    par

    P.M. Trench

    Résumé

    Des mesures de paramètres de spectres de neutronsont été effectuées dans l'ensemble critique ZED-2 avec quatretypes de barres de surréactivité en 235u. L'un de ces typesétait constitué par 235u enrichi a 20%: 4.74 g 235U/cm; lestrois autres étaient enrichis à 93% avec des charges de 235JJde 2.21 g/cm, 3.49 g/cm, et 4.88 g/cm. Les barres desurréactivité étaient placées parallèlement aux ensemblescombustibles de référence. Dans quelques expériences, troisbarres de surréactivité ont été insérées dans trois configura-tions symétriques qui faisaient varier le couplage du fluxentre les barres de surréactivité. Des mesures ont étéégalement faites avec une ou trois barres de surréactivitéplacées perpendiculairement aux ensembles de combustible deréférence.

    On a déterminé les rapports relatifs d'activitéor-cuivre, lutëtium-cuivre ou indium-manganèse, lutétium-manganèse dans les régions perturbées du coeur et on les ainterprétés en fonction des paramètres spectraux de Westcottr et T ou r / T /T .n n o

    Les résultats montrent que las perturbations spectralessont importantes près des barres de surréactivité mais nes'étendent pas a plus de deux ou trois longueurs de ralentissementdes emplacements des barres de surréactivité.

    L'Energie Atomique du Canada, LimitéeLaboratoires Nucléaires de Chalk River

    Chalk River, Ontario

    Novembre 1972 AECL-4260

  • - 1 -

    INDEX

    Page

    LIST OF FIGURES i t i

    LIST OF TABLES v

    1. INTRODUCTION 1

    2. FUEL AND REFERENCE LATTICE CONFIGURATIONS 3

    2.1 Reference Lattices 3

    2.2 Booster Rods and Suspension Systems 5

    3. EXPERIMENTS 16

    3.1 General Discussion of Method 16

    3.2 Activation Measurements 183.2.1 Spectral Parameter Measurements 183.2.2 Determination of Activities 21

    3.3 Experimental Configurations 223.3.1 61-element Booster Measurements 223.3.2 Measurements with Interacting

    Boosters 253.3.3 Reference Lattice Measurements 27

    4. RESULTS AND DISCUSSION 29

    4.1 61-element Booster Results 294.1.1 Boosters Parallel to Reference

    Fuel Assemblies 294.1.2 Booster Perpendicular to Reference

    Fuel Assemblies 414.2 Interacting Booster Results 45

    4.2.1 Boosters Paral lel to ReferenceFuel Assemblies 45

    4.2.2 Boosters Perpendicular to ReferenceFuel Assemblies 47

    4.3 Detector Normalization Experiment 51

  • -11- 1

    IPage

    SUMMARY AND CONCLUSIONS 53 '

    ACKNOWLEDGMENTS 55

    REFERENCES 56

    APPENDIX A 57

    Properties of Neutron Detector Foils

    APPENDIX B 58

    Macroscopic Neutron Spectrum Results :61-element Boosters Parallel to ReferenceFuel Assemblies

    APPENDIX C 63

    Spectral Perturbation Factor Results :61-element Boosters Parallel to ReferenceFuel Assemblies

    APPENDIX D 65

    Neutron Spectrum Results : 33-element and17-element Interacting Boosters Parallelto Reference Fuel Assemblies

    APPENDIX E 73

    Comparison of Neutron Spectrum DetectionMethods.

  • -iii-

    LIST OF FIGURES

    Page

    1. 28-element Natural UO2 Cluster 3

    2. 52 Rod square Reference Lattices andCo-ordinate Labelling 4

    3. 55 Rod Hexagonal Reference Lattice andCo-ordinate Labelling 4

    4. 61-element High Enrichment Booster Cluster 6

    5. High Enrichment Booster Fuel Elements 7

    6. High Enrichment Booster Suspension System 9

    7. 61-element LOW Enrichment Booster Cluster 10

    8. Low Enrichment Booster Fuel Element 11

    9. 61-element Low Enrichment Booster - HorizontalSuspension in ZED-2 13

    10. 33-element High Enrichment Booster Cluster 14

    11. 17-element High Enrichment Booster Cluster 14

    12. Typical Lattice Arrangement with Detectors - 1928.58 cm square (D2O) Lattice and 61-elementLow Enrichment Booster

    13. Spectrum Detectors on Aluminum Framework in 20Moderator

    14. Lattice Configurations with Three Interacting 26Boosters Parallel to Reference Fuel Assemblies

    15. 3, 17-element Boosters - Horizontal Configuration28in ZED-2

    16. r/T /T SE of Lattice Center : Case 28-10 30n o

  • -iv-

    Page

    17. r/T /T SE of Lattice Center : Case 28-20 30

    n o18. r/T /T SE of Lattice Center : Case 28-30 31

    n o19. r/T M SE of Lattice Center : Case 27-10 34

    n o20. r/T /T SE of Lattice Center : Case 27-20 34

    n o21. Spectral Perturbation Factors SE of Lattice 39

    Center : Case 28-20

    22. Spectral Perturbation Factors SE of Lattice 39Center : Case 28-30

    23. Spectral Perturbation Factors SE of Lattice 40Center : Case 27-20

    24. Axial r/Tn/TQ : Case 28-40 44

    25. Axial r/T /T : Case 28-57 47n o

  • LIST OF TABLES

    1. Spectrum Measurement Experiments 23

    2. Measured Neutron Spectrum Parameters in a 31Lattice Cell - Case 28-10 : 28.58 cm (D2O)Reference Lattice

    3• Measured Neutron Spectrum Parameters in a 3 2

    Perturbed Lattice Cell - Case 28-20:28.58 cm (D2O) Reference Lattice; 61-element20% 235u BoSster at K0

    4. Measured Neutron Spectrum Parameters in 33a Lattice Cell - Case 28-30 : 28.58 cm (D2O)Reference Lattice; 61-element 93% 2 3 5UBooster at KO

    5. Measured Neutron Spectrum Parameters in a 35Lattice Cell - Case 27-10 : 27.94 cm (Air)Reference Lattice

    6. Measured Neutron Spectrum Parameters in a 36Perturbed Lattice Cell - Case 27-20: 27.94cm (Air) Reference Lattice; 61-element 20%235u Booster at K0

    7. Measured Neutron Spectrum Parameters - 37Comparison of Square Lattice VerticalBooster Results

    8. Measured Neutron Spectrum Parameters in 42Lattice - Case 28-40 : 28.58 cm (D20)Reference Lattice; 61-element 20% 2 3 5UBooster Perpendicular Along K at 80 cmElevation

    9. Measured Neutron Spectrum Parameters at 43Booster Rod - Case 28-40 : 28.58 cm (D2O)Reference Lattice; 61-element 20% 235uBooster Perpendicular Along K at 80 cmElevation

  • -VI-

    10. Axial Spectral Perturbations, S(r,z) - 44Case 28-40 : 28.58 cm (D2O) ReferenceLattice; 61-element 20% 2 3 5U BoosterPerpendicular Along K at 80 cm Elevation

    11. Measured Neutron Spectrum Parameters - 46Comparison of Hexagonal Lattice Results

    12. Measured Neutron Spectrum Parameters in 48Lattice - Case 28-57 : 28.58 cm (D2O)Reference Lattice? 3, 17-element Inter-action Boosters Perpendicular

    13. Measured Neutron Spectrum Parameters at 49Booster Rod - Case 28-57 : 28.58 cm (D2O)Reference Lattice; 3, 17-element Inter-action Boosters Perpendicular

    14. Axial Spectral Perturbations, S (r,z) - 49Case 28-57 : 28.58 cm (D2O) ReferenceLattice,- 3, 17-element Interaction BoostersPerpendicular

    APPENDIX A

    A-l Detector Parameters 57

    APPENDIX B

    B-l Macroscopic Measured Neutron Spectrum 58to Parameters - Square Lattice VerticalB-5 Booster Results

    APPE17DIX C

    C-l Detailed Spectral Perturbation Factors, 63to S(r), SE of Lattice Center - 61-elementC-3 Booster Results

  • -vii-

    APPENDIX D

    D-ltoD-8

    Measured Neutron Spectrum ParametersHexagonal Lattice Results

    65

    APPENDIX E

    E-l

    E-2

    Comparison of various Spectral Para- 73meter Measurement Methods

    r/T /T Values - In/Mn Converted to 74Au/8u.8ase 28-10 : 28.58 cm (D20)Reference Lattice

  • - 1 -

    1. INTRODUCTION

    In an operating power reactor, the production of

    the neutron poison i 3 5Xe, and its removal through decay

    and absorption, are balanced at some equilibrium level

    determined by the neutron flux. When the reactor is

    shut down, however, the removal of 135Xe through neutron

    absorption ceases immediately while production from

    decay of the precursor fission product chain 135Te and1351 decreases more slowly with the half-lives of these

    isotopes. Therefore, the 135xe concentration increases

    rapidly to a maximum in about 10 hours, then decays slowly

    to the equilibrium level about 30 or 40 hours after shut-

    down. Similar effects occur with reductions to lower

    reactor power.

    As the fraction of nuclear to total power generated

    by a utility increases, if. becomes more important that a

    substantial number of power stations have good load fol-

    lowing characteristics. Localized, enriched 239pu or 235u

    "booster" fuel assemblies are one method currently proposed,

    or in use in CANDU type power reactors, to provide suf-

    ficient excess reactivity for start-up following a short

    shutdown, or for some measure of load following capability.

    Boosters, however, are heavy thermal neutron absorbers and

    strong fast neutron sources, and introduce large flux

    perturbations in the core. Also, it is now clear that

    irradiated fuel element sheaths, of current design, will

    not tolerate significant increases in local power over

    normal levels, even if maximum allowed fuel rating is not

    exceeded. If enriched, localized driver fuel assemblies,

    or boosters, are to be used in future reactors, therefore,

    it is important that reactor design calculations predict

  • - 2 -

    flux perturbations with a high degree of accuracy.

    A number of experimental booster studies have been

    conducted at Chalk River to provide a standard set of

    results for comparison with calculation. Recently, Roshd '

    investigated single boosters of three different 2 3 5U

    loading. The results indicated that neither reactivity

    or flux perturbation effects were proportional to 2 3 5U

    loading due to booster self shielding effects.

    This report is the first of a series describing

    experiments performed in ZED-2 to investigate other uranium

    booster effects. Recent interest in relatively low enrich-

    ment boosters has prompted a series of detailed reactivity and

    flux perturbation experiments to compare a 20% 2 3 5U enriched

    61-element booster assembly with a similar 93% enriched

    assembly investigated by Roshd. In addition, multiple booster

    interaction effects have been studied, with up to three

    boosters in the cores; two sets of boosters were used, with

    different 23SU loadings.

    The experiments described here investigate neutron

    spectrum effects in the boosted cores. The results are

    interpreted in terms of the Westcott epithermal index, r,

    a measure of the opithermal neutron fraction, and the

    effective temperature, T , of the thermal neutron Fixwellian

    distribution. Future reports will deal with measurements

    of reactivity and flux perturbations, and conversion ratio

    measurements with the lower enrichment booster.

  • - 3 -

    2.

    2.1

    FUEL AND REFERENCE LATTICE CONFIGURATIONS

    Reference Lattices

    All reference lattices consisted of 28-element

    natural U0 2 fuel assemblies shown in Figure 1 and were

    either air or D2O cooled. Three lattice configurations

    were used.

    (1) 28.58 cm (11.25") square pitch, D20

    cooled, 52 rod, open centre.

    (2) 27.94 cm (11.00") square pitch, air-

    cooled, 52 rod, open centre.

    (3) 30.00 cm hexagonal pitch, D2O cooled

    55 rod, closed centre.

    U02 FUEL

    DIAMETER 1.42 cmDENSITY 10.45 g/cc

    Zr-2 SHEATH

    I.D. 1.43cmO.D. 1.52cm

    AL PRESSURE TUBE

    I.D. 10.19 cmO.D. 10.78 cm

    AL CALANDRIATUBE

    I.D. 12.46cm.O.D. 12.74 cm

    AIR ANNULUS

    DEMOUNTABLE ELEMENTS NUMBERED I TO 6

    Fig. 1 28-element natural UO2 cluster

  • W

    o o o oo o o o o o

    o o o o o o o oo o o o o o o oo o o o o o o oo o o o o o o oo o o o o oo o o o

    o

    N

    M

    L

    K

    J

    H

    6

    1. 28 58 CM, D 2 0 COOLED

    2. 2794 CM, AIR COOLED

    CALANDRIA RADIUS = 168 CMGRAPHITE REFLECTOR

    OUTER RADIUS ~ 228 CM

    Fig. 2 52 rod square reference lattices

    and co-ordinate labelling

    B 6 4 2 O 2 4 6 8

    I 1 1 1 1 1 1 1 1-W E

    o o oo o o o o o

    o o o o o o o

    o o o o o o o oo o o o o o o

    o o o o o o o oo o o o o o o

    o o o o o o

    o o o

    N

    M

    L

    - - K

    - - J

    H

    6

    30 CM PITCHD 2 0 COOLANT

    CALANDRIA RADIUS » 168 CMGRAPHITE REFLECTOR

    OUTER RADIUS ~ 228 CM

    Fig. 3 55 rod hexagonal reference lattice

    and co-ordinate labelling

  • - 5 -

    The 30.00 cm hexagonal lattice fuel-to-moderator volume

    ratio approximated that of the 28.58 cm square lattice.

    Figures 2 and 3 show the reference lattice configurations

    and their respective co-ordinate labelling.

    The 28-element fuel assemblies are described in detail

    in References 2 and 3. Each rod was composed of 5, 28-

    element bundles (49.67 cm in length) stacked inside a

    housing assembly consisting of an Al pressure tube sur-

    rounded by an Al calandria tube. One bundle was available

    for activation measurements inside the fuel. The end plates

    of this handle were in two sections that could be easily

    split, thus facilitating rapid removal of the six elements

    that contained the detector foils (see Fig. 1).

    The moderator purity and temperature varied during

    the experimental program, and are recorded in the tables

    of results.

    2.2 Booster Rods and Suspension Systems

    The 93.16% 235U enriched (high enrichment) booster

    was composed of 61 fuel pencils arranged in five rings

    as shown in Figure 4, Each pencil measured 216.2 cm

    long (208.87 cm effective fuel length) and contained

    a core of U-Al alloy (22.5 wt% U*a , 0.386 cm in diameter

    bonded to an Al sheath (see Fig. 5). The booster

    loading was 4.88g 235U/cm length. The clusters were

    assembled with two drilled end plates and four spacer

    plates so that individual elements could be withdrawn

    axially.

    (a) The U-Al alloy content ratio was nominally 22.5 wt%but activation measurements interpreted by A. Okazakiyielded 23.1 + .2 wt%.

    (4)

  • - 6 -

    SUPPORT TUBEO.D. 11.43 cmI.D. 11.10 cm

    "LOW CONCENTRATION"ELEMENT

    (22.5 w t% U - A L C O R E )4.427 «

    DEMOUNTABLE ELEMENTS NUMBERED I TO 8

    Fig. 4 61-element high enrichment booster cluster

    Eight elements were demountable and each was con-

    structed so that activation detectors could be placed in

    a gap inside the fuel, or around the sheath, as shown in

    Figure 5.

    The cluster was suspended in the reactor in an 11.43

    cm O.D, support tube (0.165 cm wall), 231.1 cm long. The

  • U-AI CORE ALUMINIUM SHEATH

    / / / / / / / . / . . / _ / • •

    '/r/L" "\

  • - 8 -

    top flange of this tube was bolted to the top of a second

    Al tube 166 cm long and the lower end was extended with a

    tube section 10.63 cm long. This booster assembly was sus-

    pended from an Al suspension bar bolted to the top of two

    Al clamps, which were in turn firmly attached to the two

    central lattice beams (see Figure 6). The bottom of the

    assembly was 0.3 cm from the floor of the reactor vessel

    to avoid any reactivity increase should the booster fall to

    the floor. A safety bracket was welded to the top of the

    booster assembly and was fitted around the two support clamps.

    This arrangement ensured that the booster would not tip

    over into the reactor if the suspension system were to

    fail, but allowed the assembly to hang "plumb" in the core*

    Slots in the support tube allowed the booster to be

    "cooled" by reactor D2O moderator.

    Further details of this booster are given in Reference

    1.

    The low enrichment booster consisted of 61 fuel pencils

    arranged in five rings as shown in Figure 7. Each pencil

    measured 188.28 cm in length (179.83 cm of fuel) and con-

    sisted of a core of U-Al alloy (24.5 wt% lTa , density =

    3.38 + 0.05 g/cm3) 0.775 cm in diameter sheathed in Zircalloy*5*

    (0.963 cm O.D.; 0.076 cm wall) as shown in Figure 8. The

    uranium was 19.91% 2 3 5u enriched and the 61-element 2 3 5U

    loading was 4.74 g/cm length. The pencils were assembled

    in a cluster with two drilled end plates and three spacer

    plates.

    (a) The U-Al alloy concentration was nominally 24.7 wt%but activation measurements yielded 24.5 +_ 0.05 wt%.

  • - 9 -

    SUSPENSION BAR

    SAFETY BRACKET

    ALUMINUM CLAMP

    ZED-2 SUPPORT BEAM

    61 ELEMENT BOOSTERASSEMBLY

    EXTENSION RING

    CALANDRIA FLOOR

    Fig. 6 High enrichment booster suspension system

  • - 10 -

    SUPPORT TUBE

    OD: 11.43 CMID! 11.10 CM

    = 0.0

    \

    CMR2 = I •270 CM

    oooo

    DEMOUNTABLE ELEMENTS NUMBERED I TO 8

    Fig. 7 61-element low enrichment booster cluster

    Eight elements were demountable and could be withdrawn

    axially. These elements consisted of U-Al alloy pellets

    15.24 cm and 3.50 cm in length stacked inside the Zircaloy

  • ZR-2 END FITTING

    (WELDED)U-AL PELLET COREOD: 0.775 cm

    t0.963 0

    1

    D635|

    -O953- 2.220 cm 179.83 cm

    188.28 cm

    ZR-2 SHEATH0 0 : 0.963 cmID! 0.811 cm

    -2.540cm-

    0,470

    ' 0.953 O.63§1.905 cm

    NORMAL BOOSTER FUEL ELEMENT

    REMOVABLEZR-2 END FITTING

    SEAL

    DETECTORS LOCATED INGAPS BETWEEN PELLETS

    U-AL PELLETCORE

    SLOTD>DYIOUNTABLE BOOSTER FUEL ELEMENT

    Fig. 8 Low enrichment booster fuel elements

  • - 12 -

    sheaths described above. The end fittings were removable

    for access to the fuel. As shown in Figure 8, each demount-

    able element had grooves machined in the sheath (0.520 cm

    wide; 0.043 cm deep) to accommodate strip activation detectors,

    49.45 cm from the base of each element (60.00 cm from the

    floor of the ZED-2 reactor, when the booster was suspended

    in the core).

    The booster cluster was suspended in the reactor in

    an 11.43 cm O.D. Al support tube (0.165 cm wall), 231.1

    cm long. The vertical suspension system was similar to

    that of the high enrichment booster. The horizontal

    suspension consisted on two Al clamps around the support

    tube, connected to 1.27 cm O.D., 0.089 cm wall Al tubes

    with Al universal joints, as shown in Figure 9. The

    suspension systems were secured to the beams supporting the

    fuel assemblies.

    The 33-element boosters are shown in Figure 10. The

    pencils were identical, geometrically, to the high enrich-

    ment pencils, but two U-Al alloys were used: a high con-

    centration of nominal 37.7 wt% U and a low concentration

    of nominal 22.5 wt% U. The pencils were arranged in four

    rings to form the clusters; the inner and third rings were

    high concentration elements. The booster loading was 3.49g235U/cm length. The clusters were housed in 8.89 cm O.D.

    (0.165 cm wall) Al support tubes and suspended in a similar

    manner to the 61-element boosters.

    Six elements were demountable so that activation measure-

    ments could be made in the fuel pencils. They were the same

    as the BLW (boiling light water) demountable elements

    of Figure 5.

  • - 13 -

    167.6 cm

    II

    u

    AL SUPPORT TUBEOD ". I ! . 4 3 cmI D : 11.10 cm

    CENTER OF FUELAT LATTICE CENTER

    \

    \

    \AL CLAMP BOOSTER CLUSTER

    SUSPENSION BARCLAMPED TOBEAM

    REACTORSUSPENSIONBEAM

    AL GIMBAL aCHAIN SUSPENSION

    AL TUBE

    186.0 cm

    AL UNIVERSALJOINT

    . AL END PLATE

    8 0 0 cm FROMFUOOR OFREACTOR VESSEL

    Fig. 9 61-element low enrichment booster -horizontal suspension in ZED-2

  • = 0.0 CM

    SUPPORT TUBE

    OO: 8.89 CMI D: 8. 56 CM

    HIGH CONC. (37.7 wt „ U-AI)

    LOW CONC. (22.5 \ % U-AI)

    DEMOUNTABLE ELEMENT NUMBERED I TO 6

    Fig. 10 33-element high enrichment

    booster cluster

    SUPPORT TUBE

    OD. 8.89 CMID. 8.56 CM

    HIGH CONC. (37.7 wt. % U-AL)

    LO W CONC. (22.5 w t. % U -AL)

    DEMOUNTABLE ELEMENTS NUMBERED I TO 4

    Fig. 11 17-element high enrichment

    booster cluster

  • - 15 -

    The 17-element boosters wers obtained by removing the

    outer ring of 16 low concentration elements from the 33-

    element boosters as shown in Figure 11; the resulting 235u

    loading was 2.21 g/cm length. Four elements were demount-

    able. The suspension systems and support tubes were identical

    to the 33-element boosters and the horizontal suspensions

    were similar to that for the low enrichment 61-element booster.

  • - 16 -

    3. EXPERIMENTS

    3.1 General Discussion of Method

    Spectral effects were interpreted using the Westcott

    formalism . The parameter r, a measure of the epithermal

    neutron density, and Tn, the effective neutron temperature

    of a Maxwellian distribution of neutrons, were determined

    using the method described in detail by Bigham et al.

    Thin foils of Au-Al, Lu-Al and Cu were irradiated together

    in "packages" in the booster cells, at various locations

    in the core, and at a thermal reference location (thermal

    pit) in the D20 moderator, outside the reactor core. At the

    reference site, the neutron spectrum was essentially a

    Maxwellian distribution with the temperature assumed equal

    to the physical moderator temperature.

    The relative foil activity ratios are related to the

    neutron spectral parameters by the following expressions:

    RAu = {AAu/ACu]x a n d RLu =

    (ALu

    c u th C u th

    where x refers to the measurement position in the lattice

    cell, th to the thermal reference locations, and where A,

    the foil activity is given in Westcott notation by:

    and Gr are the thermal and resonance foil self shielding

    tors respectively. 9(Tn) denotes the tem

    dence of the Westcott g value for Au and Lu.

    factors respectively. 9(Tn) denotes the temperature depen-

  • - 17 -

    At the reference location, r/T /T was determinedn o

    from a Cd ratio measurement with thin In-Al foils,

    g values were taken from Westcott.*6' Values of the

    self shielding factors were determined by S.L. Mehta

    (Appendix A ) : Gt was calculated using Hanna's method

    and GrSQ was determined from the Cd ratio measurement

    method described by Walker et al. , using thin

    deposited Au foils as standards. The spectral parameters

    were obtained from the data using existing Chalk River

    codes, modified for Au instead of In, by S.L. Mehta.

    The high radiation fields near the booster assemblies

    several hours after irradiation necessitated the use of

    Au and Cu detectors; the half-lives of In and Mn, the

    standard spectral detectors, were considered too short for

    accurate statistics during the counting of the activated

    detectors, due to the long waiting period before counting.

    Unfortunately, this meant that Westcott spectral parameters

    determined with Au detectors in the vicinity of 2 3 8U rich

    fuels would be significantly lower than those measured

    with In. The Au activation at its major resonance (4.91 eV)

    would not be representative of the spectra due to the

    presence of the large 2 3 8u resonance at 6.68 eV. Never-

    theless, it was felt that the Au/Cu activation ratios

    could be usefully compared with cell codes such as HAMMER

    where the spectrum is represented by a sufficiently large

    number of energy groups.

    In addition to using Au-Al, Lu-Al and Cu detectors, Au

    and Cu strips were used for booster fuel pin sheath measure-

    ments, and spectral detector method normalization measurements

    were made with Lu-Mn-Al and In-Al alloy material.

  • - 18 -

    3.2 Activation Measurements

    3.2.1 Spectral Parameter Measurements

    Activation measurements were made using packages of

    nominal 1% Au-Al alloy (0.025 cm thick), nominal 10%

    Lu-Al alloy (0.013 cm thick), and 0.013 cm thick Cu foils.

    Both 1.43 cm and 0.775 cm diameter detectors were employed.

    Other normalization measurements were made with 1.43 cm

    diameter packages of nominal 1% In-Al alloy (0.013 cm thick)

    and 0.025 cm thick nominal 10% Lu - 5% Mn-Al alloy foils.

    All foil packages were wrapped in 0.003 cm thick Al and

    irradiated between fuel pellets in the 28-element UO2

    reference assembly split bundle elements, between fuel

    pellets in the 61-element low enrichment booster elements,

    on booster pressure tube and reference assembly calandria

    tube surfaces, and at moderator sites, and at the reference

    location in Al thimbles. 0.5 cm wide, 0.001 cm thick Au

    and 0.013 cm thick Cu strips were wrapped together around

    the demountable booster elements in the slots machined in

    the sheaths, to measure the r/T /T spectral indices at

    the sheath surfaces. Difficulty in accurately positioning

    foils within the high enriched booster elements precluded

    measurements of spectral parameters or fluxes in these

    fuel element cores.

    Figure 12 shows representative foil locations in a

    typical ZED-2 lattice. In some experiments measurements

    were also made at various moderator sites near the centre

    of the core (Looster site); detector packages were secured

    to a light Al framework extending from the booster and from -

    a nearest neighbor reference fuel assembly (Figure 13).

  • - 19 -

    O 28 -ELEMENT FUEL ROD

    © 61 - ELEMENT BOOSTER

    - FOILS IN THIMBLES

    0 FOILS ON CALANDRIA TUBE

    Q * t FOILS ON AL FRAMEWORK

    X FOILS AT THERMAL REFERENCE

    6W 4W 2W 0 2E 4|E 6E

    o o o oo o o o o o

    o o o o o o o oo - o o 0 * 0 0 0 0o o o 6 o oo o o o o o o o

    o o o o o o_o o o o

    NORTH

    12 Typical lattice arrangement with detectors -28.58 cm square (D-O) lattice and 61-element lowenrichment booster

  • .LATTICE CENTERKO

    AL FRAMEWORK

    DETECTORPACKAGE

    CELL CORNERJ2E

    JKIEREFERENCE

    ASSEMBLY

    CELL CORNERJ 2 E

    UNPERTURBED REFERENCE LATTICE PERTURBED BOOSTER LATTICE

    Fig. 13 Spectrum detectors on Aluminum framework in moderator

  • - 21 -

    In each experiment with boosters parallel to reference

    fuel assemblies, all detectors were at approximately

    the same elevation in the core, near the axial flux

    maximum.

    At the thermal reference location (Figure 12), r/T /Tno

    was measured with pairs of 1.13 cm diameter, 0.013 cm

    thick nominal 1% In-Al alloy foils, each foil in a box of

    Cd or Al (0.076 cm thick walls). The Cd boxes were

    positioned at least 20 cm above or below other detector

    materials, to avoid flux perturbation effects. Corrections

    for different axial flux values at the Cd and Al box

    locations were made using a set of Cu foil axial flux

    detectors in a nearby thimble.

    3.2.2 Determination of Activities

    The y-xay activities of the irradiated foils were

    determined using a pair of 5.08 cm diameter (2.54 cm thick)

    Nal (Tl) scintillation detector systems in ~ 4ir geometry.

    An automatically restacking sample changer inserted "lucite"

    sample trays, each containing an active foil, in sequence

    in a small gap (< 2 cm) between the faces of two scintil-

    lators. :

    The output from each detector was digitalized on paper

    tape and computer analyzed to correct each foil for decay,

    counter dead-time losses, background, and isotopic content.

    Since the alloyed foils used were not uniform, the relative

    isotopic content of each detector was determined from

    relative activities after irradiation on a rotating wheel

    in the NRU thermal column.

  • - 22 -

    The 12.75 h 61*Cu activity, 6.71 day 177Lu isomeric

    activity, 2.70 day 198Au activity and the 54 minute 116In

    isomeric activity were determined by counting with an

    effective bias level of ~ 50 keV. The 2.58 h 56Mn activity

    was determined at a bias level of - 500 keV to exclude all

    Lu activities in the Lu-Mn-Al composite foils.

    The In foils were counted begining ~ one hour after

    irradiation. The Mn component of the Lu-Mn-Al composite

    foils was counted ~ three hours after irradiation; the

    Lu component was counted two or three days after the

    irradiation to ensure that both the short lived Lu isomer

    activities and the Mn activity had fully decayed. The Cu

    and Au foils were counted one or two days following the

    irradiation. Reactor power, irradiation time, and length

    of time waited before specific foil counting were optimized

    to reduce counter deadtime losses associated with high

    count rate, but without sacrificing statistical accuracy.

    In each case, sufficient counts were accumulated to ensure

    a fractional standard error of less than 0.5%.

    3 . 3 Experimental Configurations

    list of all experimental reactor configurations is

    outlined in Table 1 and case numbers are assigned for

    reference in the tables of results. Critical moderator

    levels, and moderator temperature and D2O purity are also

    listed.

    3,3.1 61-Element Booster Measurements

    The D2O cooled 61-element boosters were located inter-

    stitially, parallel to the reference fuel, at the center

  • TABLE 1

    SPECTRUM MEASUREMENT EXPERIMENTS (a)

    CaseNo.

    27-10

    27-20

    28-10

    28-20

    28-30

    28-40

    28-57

    30-10

    30-24

    30-32

    30-42

    30-44

    30-50E

    30-52D

    30-65

    Detec-torNorm.

    EXPERIMENTAL CONFIGURATION (b)

    27.94 cm square (AIR) reference lattice

    61-element 20% Z 3 5U booster at K0 (in lattice 27-10)

    28.58 cm square (D2O) reference lattice

    61-element 20% 2 3 SU booster at K0 (in lattice 28-10)

    61-element 93% 2 3 5U booster at K0 (in lattice 28-10)

    61-element 20% 2 3 5U booster horizontal at 80.0 cm along K

    3, 17-element 93% 2 3 5U boosters horizontal: 2 at 30.5 cmalong J and L and 1 at 80.0 cm along K

    30.00 cm Hex (D2O) reference lattice

    3, 33-element 93% 2 3 5U boosters at KL0, JK1E, JK1W (TIGHT)

    3, 33-element 93% 2 3 5U boosters at LM0, JK2E, JK2W (MED)

    3, 33-element 93% 2 3 5U boosters at MHO, IJ3E, U 3 W (LOOSE 1)

    3, 33-element 93% 2 3 5U boosters at MN0, IJ4E, IJ4W (LOOSE 2)

    Lattice 30-10 with central 19 rods voided

    Lattice 30-50E with 3, 33-element 93% 2 3 ̂ boosters (MED)

    3, 17-element 93% 2 3 5U boosters at LM0, JK2E, JK2W

    61-element 93% 2 3 5U booster at K0 (in lattice 28-10)

    ModeratorCriticalHeight

    (cm)

    211.692

    183.858

    234.163

    194.148

    195.940

    192.632

    191.160

    231.321

    159.032

    170.425

    184.218

    188.215

    216.360

    166.050

    186.429

    203.974

    Temp.

    (°C)

    21.96

    21.71

    21.01

    20.95

    21.24

    21.40

    21.46

    21.46

    21.16

    21.48

    21.58

    20.09

    21.46

    21.35

    21.37

    20.95

    Purity

    (atom % D2O)

    99.544

    99.544

    99.560

    99.554

    99.468

    99.537

    99.470

    99.536

    99.536

    99.536

    99.536

    99.462

    99.535

    99.535

    99.459

    99.341

    toto

    (a) Simultaneous irradiation with fine structure detectors.

    (b) All boosters D2O cooled.

  • - 24 -

    of the open center square lattices. The low enrichment

    booster was also located perpendicular to the fuel at

    an elevation of 80.0 cm along the reactor east-west

    diameter (K direction) in the 28.58 cm, D20 cooled lattice

    'Figure 9) .

    In most of these experiments, both r and T were deter-

    mined at the following representative locations throughout

    the core:

    1. Inside booster fuel elements (Figure 7)

    between fuel pellets (low enrichment

    booster only).

    2. Inside reference fuel elements (Figure 1)

    between fuel pellets at rod site JK1E.

    3. At the surface of booster fuel elements

    (Figures 4 and 7).

    4. At the booster pressure tube surface.

    5. At the calandria tube surface of selected

    reference fuel assemblies.

    6. At various moderator locations in the

    central cells of the core, on thin Al

    frame works (Figure 13).

    7. At various moderator "cell edge" and

    "cell corner" locations.

    The thermal reference position was located at the reactor

    calandria wall on the east-west reactor diameter, at least

    - 68 cm from the reactor core.

    In the perpendicular booster case, measurements were

    also made along the length of the booster, and axial spectral

    measurements were made at neighboring reference fuel and

    moderator cell edge locations.

    A spectral detector comparison experiment was done with

  • - 25 -

    the high enrichment booster vertical at lattice site KO

    in the 28.58 cm pitch, D2O cooled lattice. Measurements

    were also made in the reference fuel elements, on the

    sheath of reference fuel elements and booster elements,

    on booster pressure tube and reference calandria tube

    surfaces, and at various thimble locations near the

    booster.

    3.3.2 Measurements with Interacting Boosters

    The booster interaction experiments consisted of measure-

    ments with three, 33-element, D2O cooled, high enrichment

    boosters inserted interstitially (equidistant from three

    neighboring fuel assemblies) in a 30.00 cm hexagonal D2O

    cooled reference lattice. Three booster separation con-

    figurations were studied, representing different degrees

    of booster coupling. The booster spacing associated with

    "tight" interactions was d, the reference lattice pitch

    (30.00 cm); the " medium " interaction separation distance

    was 2d; the separation associated with "loose" interaction

    was 4d. The boosters were situated symmetrically about the

    reactor center, as shown in Figure 14.

    The boosters were inadvertently mispositioned in the

    loose configuration (two were at lattice sites IJ3E and

    IJ3W instead of IJ4E and IJ4W). This asymmetric configu-

    ration did not affect detailed measurements near the

    booster cell at lattice site MN0, but macroscopic effects

    in the core were remeasured with the boosters symmetric.

    Lattice void effects with and without three 33-element

    D2O cooled boosters at the medium, 2d separation, were

    investigated by voiding the central 19 reference fuel

    assemblies of the hexagonal reference lattice.

  • BOOSTER SEPARATION

    30 CM 6 0 CM120 CM

    O O Oo o o o o o

    o o o o o o oo oo o o#6#o o o

    o o o o o o o oo o o o o o oo o o o o o

    o o o

    o o o o o o o oo o o o o o o

    o o c*o o*o o o o o o o o o o I

    O 28-ELEMENT, U0 2 (DgO COOLED) REFERENCE ASSEMBLY

    • 33-ELEMENT INTERACTION BOOSTER ROD

    Fig. 14 Lattice configurations with three interacting boostersparallel to reference fuel assemblies

  • - 27 -

    Measurements were made with three, 17-element, DZO

    cooled, high enrichment boosters at the medium (2d)

    separation configuration in the hexagonal lattice. Measure-

    ments were also made with these three boosters perpendicular

    to the fuel assemblies in the 28.58 cm square, D20 cooled

    reference lattice, as shown in Figure 15. Reactor safety

    considerations precluded the use of the more reactive 33-

    element boosters. Two boosters were positioned east-west

    in the core, along lattice co-ordinates J and L, and were

    suspended 30.5 cm from the floor of the reactor calandria.

    The booster along the east-west diameter at lattice

    co-ordinate K was suspended 80.0 cm from the calandria

    floor. The resulting configuration was equilateral with

    booster separation equal to twice the lattice pitch (2d =

    57.15 cm); the boosters were symmetric about the north-

    south diametral plane. For safety considerations, all

    boosters were suspended below the expected position of

    maximum axial importance.

    The spectral parameter r/T /T was measured at most of ther novarious core locations described in Section 3.3.1; however,

    detailed booster cell moderator measurements (on the Al

    framework) were not done. The thermal reference position

    was located at the south reactor calandria wall, ~ 64 cm

    from the reactor core.

    3.3.3 Reference Lattice Measurements

    Spectral parameter measurements were made at represen-

    tative locations in the three reference lattices to provide

    a set of reference results without the booster perturbations.

    Measurements were also made in the 30.00 cm pitch, hexagonal

    D20 cooled reference lattice with the central 19 assemblies

    voided.

  • - 28 -

    RADIAL POSITION

    J K L

    I I II I II I I

    28.58 CM

    O

    u

    2 8 - ELEMENT FUEL

    H,

    (~ I9O CM)

    80.0 CM

    30.5

    15.0

    0 CM

    BOOSTER

    Fig. 15 3, 17-element boosters - horizontalconfiguration in ZED-2

  • - 29 -

    4. RESULTS AND DISCUSSION

    The Westcott spectral parameters r^T /T , r, and Tno n

    were determined from detector activities as discussed in

    Section 3.1. The specific activity ratios, relative

    to the thermal reference location arid the derived spectral

    parameters are listed in the detailed tables of results

    in this section and in the appendices. In most cases,

    the errors shown were determined by assuming a + 0.5%

    error in the determination of detector activities.

    The alphameric labelling of detector locations in the

    core is based on the co-ordinate system shown in Figures

    2 and 3.

    4.1 61-Element Booster Results

    4.1.1 Boosters Parallel to Reference Fuel Assemblies

    Detailed spectral results in the central cells of the

    lattices from measurements on the Al frameworks, on booster

    and reference assembly pressure tube and calandria tube

    surfaces, and in thimbles are listed in Tables 2 to 6.

    The results in a direction south-east from the lattice

    centers are shown in Figures 16 to 20. Also shown are booster

    fuel pin sheath surface averages and reference fuel average

    values. Macroscopic spectral results are tabulated in

    Appendix B. Booster fuel pin mean, sheath surface mean,

    reference fuel pin mean, and spectral results at represen-

    /ative lattice sites are listed in Table 7 to facilitate

    direct comparison between the experimental configurations.

    With the exception of Case 28-10, measurements in the

    28-element reference fuel pins were made with Au detectors.

  • - 30 -

    I I I II I I J I LLUI I

    LATTICE SITEJ2E

    \

    I I ' '28 30 32 54

    J L.0 2 4 6 B 5 12 1 4 1 6 I B 20 22 24 26

    CORE RADIUS (cm)36 38 40

    li 1 ' '

    OETECTORS:• 0.775cm DIAMETER AU-AL.LU-AL, 8 CU• 1.422cm DIAMETER AU-AL.LU-AL, 8 CUX 0.5 cm All B CU STRIPS (SHEATH)

    -ROD JKIE-

    J L.

    SE

    LATTICE SITEJ 2 E '

    10 12 14 16 IS 20 22 24 26 28 30 32 34 36 38 40

    CORE RADIUS (cm)

    Fig. 17 r/T /T SE of lattice center? Case 28-20

  • - 31 -

    0.13-

    0.12 -

    Oil -

    ' S

    0.10-

    Q09 -

    Q08-

    \

    \

    \

    Q0S-—BOOSTER-

    DETECTORS:

    X OS cm AU a CU STRIPS• 0.775 cm DIAMETER AU-AL a CU• 1.422 cm DIAMETER AU-ALB CU

    -ROD JKIE •

    LATTICE SITEJ2E

    IS 18 20 22 24 26 28 30 32 34 36 38 40

    CORE RADIUS (cm I

    Fig. 18 r/T /T SE of lattice center:n o Case 28-30

    TABLE 2

    MEASURED NEUTBOH SPECTRUM PARAMETEBS IN A LATTICE CELL

    CASE 28-10: 28.SB cm (DjO)Reference Lattice

    Detectorla|Location

    Mod.

    Cal. S.Fuel (°>

    Cal. S.Mod.

    Hod.Cal. E.Hod.

    Cal. s.Hod.

    Thermal Pit

    MeasurementPosition

    (cm)

    0.0216.B4

    13.8416.0017.5619.0521.3722.8624.4226.5833.5340.489.996.37

    10.5214.476.37

    10.5714.29

    Position MeasuredFrom

    Lattice centerLattice Center

    Lattice CenterCenter of Rod JKIE

    Center of Rod JKIE

    irection

    HHSE

    EH

    S

    In/Mn lb|

    Act. Ratio

    1.359 + .0141.410 7 .0141.526 + .0151.705 7 .0171.B75 7 .0191.922 7 .0191.940 7 .0191.855 7 .0191.728 7 .0171.519 7 .0151.3B4 7 .0141.356 + .0141.403 7 ,0141.532 7 .0011.436 7 .0141.427 7 .0141.536 " .0151.424 7 .0141.419 7 .014

    l.Eoo

    (c)

    0.022 + .0010.025 7 .0010.032 7 .0010.043 7 .0010.053 7 .0010.056 7 .0010.058 7 .0010.052 7 .0010.044 7 .0010,031 7 ,0010.023 7 .0010.021 7 .0010.024 7 .0010.032 7 .0010.026 " .0010.026 7 .0010.032 7 .0010.026 + .0010.025 + .0010.1B4 X lO-3

    LU/Mn lblAct. Ratio

    1.046 + .0101.053 7 .0111.078 7 .0111.180 7 .0121.273 7 .0131.264 7 .0131.2B0 7 .0131.250 7 .0131.189 7 .0121.083 7 .0111.029 7 ,0101.029 7 .0101.023 7 .0101.090 7 .0111.047 7 .0101.045 7 .0101.092 7 .0111.027 7 .0101.038 7 .010

    l.ffoo

    r

    0.0210.0240.0310.0390.0470.0500.0510.0460.0400.0300.0230.0210.0240,0310,0260.0250.0310.0250.025

    Tn

    32 + 334 + 341 + 371 7 4

    101 7 599 + 5

    105 7 593 + 574 7 443 7 328 7 328 T 326 + 345 7 332 7 332 + 3«5 7 427 7 330 +" 321701

    Method

    (d)

    (a)

    (b)

    Mod,, Cal. s.y and Fuel refer to detoctor locations in the moderator, on a calandria tube surface, and in thafuel pins, respectively.In/Mn or LU/Mn ratloB are ratios at the measurement position, relative to the same ratio at the thannal pitlocation. The r^Tn/To value reported at the thermal pit W B B determined from a Cd ratio method wLth In foils.

    D2O 21.01OC.(dl 1.422 cm diameter Lu-Mn-Al and Xr.-Al foil packages,(e) Measurement positions quoted for fuel are distances meaBurttd from the lattice center, SE to the appropriate

    fuel ring radii.

  • - 32 -

    MEASURED NEUTBON SPECTRUM PARAMETERS IM A PERTURBED LATTICE CELL

    CASE 28-20. 28.58 cm (D2O) Reference Lattice61-element 20% 2' SU Booster at K0

    DetectorLocation

    Booster

    Booster

    BoasterMod.Cal. s .Puol(e)

    Cal. S.Mod.

    BoosterMod.

    Cal. S.Mod.

    Cal. s.Mod

    Thermal

    F

    S

    P

    P

    la)

    (e)

    (e)

    T.

    T.

    P i t

    MeasurementPosition

    (cm)

    0.001.272.463.853.854.914.914.910.001.272.463.S53.354.914.914.915.729.78

    13. e416.0017.5619.0521.3722.8624.4226.5833.5340.475.729.97

    14.326.37

    10.3714.296.37

    10.5714.29

    Position MeasuredProm

    Lattice Center

    Lattice Center

    Center of rod JK1E

    Center of rod JK1E

    quivalehi)lrection

    SE

    E

    N

    S

    Au/Cu(e)Act. Ratio

    2.8392.8662.7402.6032.6202.4212.4462.4601.7901.7781.7311.6561.6S71.6391.5911.6012.2601.9431.8831.9391.9461.9161.8641.7741.6851.6041.4261.3832.2211.B701.7111.7921.6871.6861.6041.4961.454

    1

    +77I+7777+++777+7+7++77++777++TT77777

    .038

    .038

    .036

    .034

    .035

    .032

    .032

    .033

    .018

    .018

    .017

    .017

    .017

    .016

    .016

    .016

    .030

    .026

    .025

    .019

    .019

    .019

    .019

    .018

    .017

    .021

    .019

    .018

    .029

    .025

    .023

    .024

    .022

    .022

    .021

    .020

    .019000

    r/T"

    0.1240,1260,1170.1070,1080,0940,0960.0970.1040.1030,0960.0860,0900.0840.0780.0790.0830.0620.0580.0610.0620.0600.0560.0500.0440.0390.0280.0250.0810.0570.0460.0520.0450.0450.0390.0320.0300.950

    7*oW1

    + .003+ .0037 .0037 .002+• .002+ .002+• .0027 .0027 .0027 .002+ .002+ .002+ .0027 .002+ .002+ .002+" .0027 .002+ .002+ .001+ .001+ .001+ .001+ .001+ .001+ .001+ .001+ .001+• .0027 .002T .001+" .002+ .001+ .001+ .001+ .001+ .001ic 10-3

    LU/CU "='Act. Ratio

    1.260 + .0171.280 + .0171.259 + .0171.240 + .0161.248 +" .0171.220 + .0161.200 + .0161.204 + .016

    ""

    1.158 + .0151.104 7 .0151.143 7 .0151.228 7 .0121.272 + .0131.312 7 .0131.304 7 .0131.264 7 .0131.217 + .0121.124 7 .0151.059 7 .0141.069 7 .0141.152 + .0151.101 T .0151.087 T .0141.135 7 .0151.077 7 .0141.092 7 .0141.117 7 .0151.067 7 .0141.054 + ,014

    i.ffoo

    I

    0.1080.1080.1020.0950.0950.0850.0870.087

    0.0770.0590.0540.0550.0550.0520.0490.0450.0400.0370.0270.0240.0750.0540.0450.0490.0430.0430.0370.0310.029

    (OC,

    115 + 11124 + 12112 " 10102 7 9106 7 10

    92 + 885 7 e87 7 B

    68 + 749 + 560 + 667 + 5

    101 + 5112 + 5109 + 595 + 581 + 45J + 535 + 438 + 46 6 + 747 T 543 T 558 + 540 + 544 + 552 + 537 + 434 + 4

    20795

    Method

    If)

    (9)

    If)

    (h)

    IC)

    (b)

    Ic)

    Idl

    le!

    If)

    Booster F., Booster S., Booster P.T., Hod., Cal. s., and Fuel refer to detector locations in thebooster fuel pins, on booster fuel pin sheaths, on the booster pressure tube, in the moderator, ona reference assembly calandria surface, and in the reference assembly fuel pins, respectively.

    Reported spectrum parameters in direction B and SE from the lattice center were obtained in partfrom measurements in equivalent directions N and NE.

    Au/Cu or Lu/Cu ratios are ratios at the measurement position, relative to the same ratio at thethermal pit location. The r»Tn7T3 value reported at the thermal pit was determined from a Cdratio method with In foils.

    To = T D 2 0 = 20.95OC,

    Measurement positions reported are distances measured from the lattice center, SE to theappropriate booster or fuel ring radii.

    0.775 cm diameter Au-Al, Lu-Al, and cu foil packages.

    0.5 cm wide Au and Cu strips wrapped around sheath.

    1.422 cm diameter Au-Al, Lu-Al and Cu foil packages.

  • - 33 -

    MEASURED NEUTRON SPECTRUM PARAHETER5 IN A PERTURBED LATTICE CELLCASE 2B-301 28.5B cm (D20) Deference Lottie

    Gl-element 931 l l su Booster at ]

    Detectorlal

    Location

    Booster s!0'

    Booster P.T.Hod.Cal. S.Fuel(e)

    Cal. s.Hod.

    Booster P.T.

    Hod.

    Cal. s.

    Mod.

    cal. S.Hod.

    Thermal Pit

    HaaaurementPosition(cm)

    0.001.152.223.313.314.434,435.729.7813. B416.0017.5619.0519.0519. OS21.3721.3721.3722.8624.4226.5633.5340.475.725.7Z5.729.97

    14.326.376.376.3710.3714.2914.2914.296.37

    10.5714.29

    Position MeasuredFrom

    Lattice Center

    Lattice Center

    Center of rod JK1E

    Center of rod JK1E

    quivaleMDirection

    SE

    £

    N

    S

    In/Mn or'01

    Au/cuAct. Ratio

    1.713 + .01B1.7B1 + .0181.723 + .0171.690 X .0171.679 X .0171.591 T .0161.607 + .0162.071 X .0271.7B3 + .0241.753 7 .0231.8B6 X .0191.911 + .0191.686 + .0191.902 + .0192.269 + .0231.835 + .0181.B22 + .0182.181 - .0221.739 + .0171.655 + :0171.538 + .0201.375 + .0181.338 + .0182.060 + .0272.106 + ,0212.058 + .0211.767 + .0231.611 + .0211.698 ~ .0221.739 + .0171.797 + .0181.599 + .0211.613 + .0211.645 + .0161.647 X .0171.552 + .0211.435 T .0191.405 + .019

    i.ffoo

    0.1050,1030.0950.0910.0890.0780.0800.0710.0510.0490.0500.0600.0580.0590.0790.0550.0540.0730.0480.0430.0350.0250.0220.0700.0730.0650.0500.0400.0460.0480.0490.0 J90.0400.0420.0400.0360.0290.0270.127

    +++

    XX7XX77777777777777+777777777777777X

    (HI

    .002

    .002

    .002

    .002

    .002

    .002

    .002

    .002

    .002

    .002

    .001

    .001

    .001

    .001

    .002

    .001

    .001

    .001

    .001

    .001

    .001

    .001

    .001

    .002

    .001

    .001

    .002

    .001

    .001

    .001

    .001

    .001

    .001

    .001

    .001

    .001

    .001

    .00110-3

    Lu/Hn orLu/Cu

    (c)

    Act. Ratio

    1.2801.300

    1.2931.289

    1.1321.131

    1.1401.133

    1.070

    1

    +7~+_7

    +7

    +

    +

    .013

    .013

    .013

    .013

    .011

    .011

    .011

    .on

    .011

    000

    00

    00

    00

    00

    0

    r

    .052

    .068

    .047

    .064

    .069

    .061

    .045

    .046

    .038

    Tn

  • - 34 -

    0046

    0.046 "

    O044-

    OETECTORS:0.775 cm DIAMETER AU-AL.LU-AL 8 CU

    1.422 cm DIAMETER AU-AL.LU-ALBCU

    -ROD JKIE-

    (r,/Tn/Tol- = 0.04S

    J L16 IB 20 22 24 26 28 30 32 34 36 38

    CORE RADIUS (cm)

    BOOSTER

    lr./Tn/TolF =0.108

    (r./Tn/To)s =0.093

    DETECTORS:

    • 0.775 cm DIAMETER AU-AL, LU-AL, a CU• 1.422 cm DIAMETER AU-AL, LU-AL, a CUX 0.5 cm AU 8 CU STRIPS (SHEATH)

    ROD JKIE

    (r,/Tn/To)F = 0.057

    LATTICE SITEJ 2 E 1

    SE

    10 12 16 18 20 22

    CORE RADIUS (cm)24 ?6 26 30 32 34 36 38

  • - 35 -

    MEASURED NEUTRON SPECTRUM PARAMETERS IH A LATTICE CELL

    CASE 27-10: 27.94 cm (AIR) Reference Lattice

    Detector(°'Location

    Hod.

    Cal. s,Fuel Id)

    Cal. S.Mod.

    Cal. s.Hod.

    Cal. s.Hod.

    ThermalPit

    MeasurementPosition

    (cm)

    0.016.44

    13.3915.5517.1118.5920.9222.4123.9626.1333.0839.476.37

    10.5213.926.37

    10.5713.9?

    Position MeasuredFrom

    Lattice Center

    Center of rod JK1E

    Center of rod JK1E

    irection

    SE

    N

    S

    AU/Cu lb>Act. Ratio

    1.407 + .0141.429 + .0141.569 + .0161.656 + .0171.724 • .0171.724 + .0171.717 + .0171.708 + .0171.663 + .0171.553 + .0161.436 + .0141.405 + .0141.579 + .0161.4B4 + .0151.463 + .0151.579 + .0161.477 + .0151.452 + .015

    1.000

    0.027 + .0010.028 + .0010.037 + .0010,043 * .0010.047 + .0010.047 + .0010.047 + .0010.046 + .0010.043 + .0020.036 + .001U.029 7 .0010.027 + .0010.038 + ,0010.036 + .0010.030 + .0010.038 + .0010.031 + .0010.030 + .0010.135 X 10-3

    Lu/Cu lb)Act. Ratio

    1.060 -I1.062 41.146 31.218 i1.291 i1.30G 51.297 51.268 i1.213 H1.141 11.060 '1.062 "1.141 "1.0781.065 '1.1401.0751.068

    1.

    .011' .011' .011' .012" .029" .013' .013" .013' .021" .011' .011" .011F .011F .011F .011F .011F .011[ .011100

    r

    0.0260.0270.0350.0390.0420.0410.0410.0410.0390.0340.0280.0260.0350.0310.0290.0350.0300.029

    °C

    36 + 337 + 36 1 + 482 + 4

    104 + 5Ilia + 5106 + 597 + 58 1 + 460 + 437 • 337 + 360 + 442 + 338 + 359 + 441 + 339 + 3

    21.96

    Method

    (e)

    (f)

    (e)

    (a)

    (b)

    (c)

    (d)

    (e)

    (fl

    Mod.f Cal. s., and Fuel refer to detector locations in the moderator, an a Calandria tube surface, andin the fuel pins respectively.

    Au/Cu or Lu/Cu ratios are ratios at the measurement position, relative to the same ratio at the thermalpit location. The rVTn/To value reported at the thermal pit was determined from a Cd ratio methodwith In foils.

    'D2O21.96

    Measurement distances quoted for fuel are distances, measured from the lattice center, SE to theappropriate fuel ring radii.

    0.775 cm diameter Au-Al, Lu-Al and Cu foil packages.

    1.422 cm diameter Au-Al. Lu-Al and Cu foil packages.

  • - 36 -

    TABLE 6

    MEASURED NEUTRON SPECTRUM PARAMETERS IN A PERTURBED LATTICE CELL0: 27.94 cm (AIR) Reference Lattice

    61-element 20* ) J SU Booster at KO

    Location

    Booster F . ( e J

    Booster S. ' eJ

    booster P.T.Mod,Cal. S.Fuel (e)

    Mod.

    Booster P.T.Mod.

    c a l . S.Mod.

    cal. s.Mod.

    Thermal P i t

    Posi t ionIcm)

    0.001.272.463.853.B54.914.914.910.001.272.463.B53.854.914.914.915.729.33

    13.3915.5517.1118.5920.9222.4123.9633.0839.475.729.97

    13.976.37

    10.3713.976.37

    10.5713.97

    From

    Latt ice Center

    Lat t ice center

    Center of rod JK1E

    Center of rod JK1E

    (b)

    Direction

    SE

    E

    N

    S

    cl

    Act. Ratio

    2.909 +2.864 *2.754 +2.606 +2.646 +2.465 +2,464 +2.471 •1.B36 +1.816 ?1.760 +1.713 +1.713 +1.646 "1.632 •1.651 +2.283 +1.960 +1.915 +1.971 +1.979 +1.946 t1.891 T1.B30 +1.735 +1.452 +1.409 +2.265 +1.885 +1.727 +1.848 T1.742 +1.729 +1.679 +1.510 +1.471 *

    .029

    .029

    .028

    .026

    .026

    .025

    .025

    .025

    .018• 01B.018.017.017.016.016.017. 0 2 3. 0 2 0.019.020. 0 2 0.020.019. 0 1 8.017. 0 1 5.014. 0 2 3. 0 1 9. 0 1 7. 0 1 8.017.017.017. 0 1 5. 0 1 5

    1.000

    r Tn

    0.1290.1260.1180.1070.1100.0970.0970.09B0.1100.1080.1010,0940.0940.0850.083O.0B60.0S40.0630.0600.0640.0640.0620.0580.0540.04f0.03J0.0270.0840.05S0.0470.0550.0480.0480.0440.0330.0310.104

    * .002+ .002+ .002+ .002* .002+ .002• .002T .002+ .002+ .002~ .003+ .002+ .002T .002+ ,002+ .002+ .002+ .001+ ,001• .001+ .001T .001+ .001+ .001+ .001+ .001+ .001T .002+ .001+ .001+ .001+ .001+ .001+ .001+ .001+ .001X 10-3

    (c)Lu/Cu •"'Act. Ratio

    1.281 + .0171.279 + .0171.269 5 .0171.240 + .0161.264 T .0171.201 i1.222 5

    " .016" .016

    1.198 T .016

    1.777 i .0161.116 + .0151.186 "1.224 i1.261 i1.271 '1.269 "1.246 :1.201 "1.063 "1.069 "1.166 51.0941.0771.170 51.093 "1.084 "1.163 51.080 "

    .016" .012" .013F .013F .013" .012F .012F .014F .014F .015F .014• .014" .015F .014F .014" .015F .014

    1.070 T .014l.ffoo

    r

    0.1110.1080.1020.0950.0960.08B0.087O.0B8

    0.0780.0600,0550.0b70.0570.0550.0520.0480.0440.0290.0260.0770.0560.0460.0510.0460.0460.0410.0320.030

    *

    127124 H118 H104 1113 '•

    87 :

    94 '86 '

    1211

    " 10' 9

    10' a

    7 6 + 753 + 67 3 + 6Ub +" 599 ^ 3

    102 T S100 + •»

    92 " • i7 8 + 43 7 + 439 + if.72 " : -t4 6 + 541 T 570 4 ft46 i- Q43 + 566 +" i4239

    2 1 "

    " 5' 4"71

    Method

    (g)

    (h)

    . . .*

    (g)

    (i)

    (g)

    (d)(ej

    (hi

    (i)

    Booster P., Booster S., Booster P.T., Hod., Cal.S. and Fuel refer to detector locationsin the booster fuel pins, on booster fuel pin sheaths, on the booster pressure tube,in the moderator,on a reference assembly calandria surface, and in the referenceassembly fuel pins, respectively.

    Reported spectrum parameters in directions E and SE from the lattice center were obtainedin part from measurements in equivalent directions N and NE.

    Au/Cu of Lu/Cu ratios are ratios at the measurement position, relative to the same ratioat the thermal pit location. The r/Tn/To value reported at the thermal pit was determinedfrom a Cd ratio method with In foils.T ° " TD 2O * " - ' I " * -Measurement positions reported on distances measured from the lattice center, SE to theappropriate booster or Fuel ring radii.The paraithe pin.

    eters at this position are estimates based on the parameters measured insideThe strips on the sheath were loose during irradiatiun.

    0.775 cm diameter Au-Al, Lu-Al and Cu foil packages.0.5 cm wide Au and Cu strips wrapped around sheath.1.422 cm diameter Au-Al, Lu-Al and Cu foil packages.

  • - 37 -

    TABLE 7

    MEASURED NEUTRON SPECTRUM PARAMETERS

    COHPAHISQH OF SQUARE LATTICE VERTICAL BOOSTER RESULTS

    Experiment andMeasurement

    CORE LOCATION

    BoaBter Fue lPin Mean a t

    KO

    Booster Sheatqlurface Mean

    a t KO

    ReferenceFuel pin Meanat JK1E

    Booster Preo-•urs Tube Sur-|face Mean at

    Ref. Calandria|Surface Mean

    at JK1E

    K1WPerturbed Celi)

    Edge

    J2WUnperturbedCell Corner

    :ase 28-1Q

    B.5B cm (D-1. r^V^3! Tn(°C>

    CaaB 2B-20

    iO) Ref. Lattice

    IB.58 cm ID2O) Kef. l a t t i ceA 61-element 201 • "UBooster a t KO

    1. r/T^IS2. r3 . Tn(OC)

    1 28-30

    0.107 + .0020.094

    101 + 6

    1.58 cm (D2O) Ref. Lattice61-element 93% I ! i U

    1 Booster at K0

    1. srpr;

    7.94 em (Mr) Bef. Lattice1. r/T_/To2. r3. T (°CI

    27.94 cm (AirJ He£. Latticei 61-element 20% " ! 0iBooster a t K0

    ^7%

    Tn(°C>

    0.10B i .00.O95

    105 • 6

    0.048 -*- .00.043

    B4 + 5

    0.054 ± .00.049

    92 + 5

    0.052 * .001

    O.045 + .0010.040

    91 + 5

    0.057 + .0010.052

    89 + 5

    0.082 + .010.07S ~

    67 + 7

    0.071 + .002

    0.0S4 + .0020.078 ~

    74 4 7

    0.U32 + .0010.D31 ~

    44 + 3

    0.0260.025

    35

    0.024 +0.023 "

    34 T

    0.044 "56 + 5

    0.037 + .010.035

    60 + 4

    0.051 + .0010.047 ~

    69 + 6

    0.029 + .00.02B ~

    3B + 3

    0.048 + .0010.046 "

    46 + 5

    0.024 ~32 +

    0.022 + .001

    0.0270.026 '

    0.02B + .0010.027

    39 + 4

    (a) Detectors UBed were Au( Lu and Cu except Case 26-10 (In, Lu and Hn) t

    (b) cd r a t i o measurement with In-Al f o i l s .

  • - 38 -

    The nearness of the major Au resonance (4.91 eV) to a

    large 2 3 8U resonance (6.68 eV) significantly depressed

    the Au activation, and thus (r/Tn/TQ) Au values in the

    reference fuel are low relative to a similar measurement

    with In. The unperturbed, air cooled reference lattice

    (Case 27-10; Au detectors) shows considerable spectral

    flattening in the fuel when compared with the D2O cooled

    lattice (Case 28-10; In detectors). Thus the measurements

    indicate a higher fuel average in the D2O lattice but in

    fact the reverse was correct; results at other core locations

    show that the spectrum was harder in the air cooled core.

    This effect is discussed more fully in Section 4.3.

    Spectral perturbation effects were represented more

    clearly by defining a "spectral perturbation factor",(12)S(r,z) similar to the flux perturbation factor :

    . _ _j_ ii yj i. ,*. / xi w j Perturbed lattice

    f(r /T /T ) / (r/T /T ) R,zl Unperturbed latticeL n o r, z / n o J r

    where r,z refers to a core location with co-ordinates

    (r,z) and R,Z is a core location removed from the spectral

    perturbation (lattice site J2E).

    Spectral perturbation factors S(r) are tabulated in

    Appendix C and shown in Figures 21 to 23. The axial depen-

    dence was not considered since r/T /T values were constantn o

    over the central part of the core where the measurementswere made. The reference lattice Case 28-10 (r/T /T ) T

    n o Invalues were converted to (r/T /T ). as discussed in Section

    n o Au

    4.3, to ensure a consistent set of S(r) values in the

    28.58 cm, D20 cooled lattices. The results indicate that

    spectral perturbations introduced by the boosters do not

  • - 39 -

    SE

    - R O D J K I E -

    _j I i

    X SURFACE OF BOOSTER FUEL PIN SHEATH

    • BOOSTER FUEL

    LATTICE SITE

    J 2 E '

    O 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 31 36 38 40CORE RADIUS (cm)

    Fig. 21 Spectral perturbation factors SE of latticecenter: Case 28-20

    O 2 4 6 8 io 12 14 16 IB SO 22 2 4 2 6 2B M M 3 4 36 38 4 0

    CORE RADIUS (cm)

    Fig. 22 Spectral perturbation factors SE of latticecenter: Case 28-30

  • - 40 -

    X SURFACE OF BOOSTER FUEL PIN SHEATH

    • BOOSTER FUEL

    L _ l U] I ' ' II II I 1 I I 1 II I 1 110 12 14 IS 18 20 22 24 26 28 30 32 34 36 380 2 4

    Fig. 23 Spectral perturbation factors SE of latticecenter: Case 27-20

    extend much more than one lattice pitch (~ two or three

    slowing down lengths) from the booster site; the spectral

    perturbation factor curves decrease smoothly toward 1.0

    at lattice site J2E.

    Examination of the results indicate that as expected,

    the spectrum with the low enrichment booster in the 27.94 cm,

    air cooled lattice was everywhere slightly harder than the

    spectrum with the same booster in the D2O cooled lattice.

    The spectral perturbation factors, however, were identical

    within experimental error.

  • - 41 -

    In the 28.58 cm, D20 cooled lattices, r/f~7T~ valuesn o

    in the central cells immediately surrounding the 20%

    enriched booster were higher than corresponding values

    with the 93% enriched booster. Since the235U loading was

    the same in each booster (within 3%) the additional spectral

    hardening with the low enrichment booster was likely due to

    thermal and resonance absorption, and fast fission effects

    in 2 3 8U. Within the 20% enriched booster, however, ther/T /T~ values inferred from the Au activations have beenn odepressed due to the presence of the 2 3 8U. Thus, at the

    booster fuel pin sheaths, the results are the same in both

    boosters.

    4.1.2 Booster Perpendicular to Reference Fuel Assemblies

    Macroscopic spectral effects in the 28.58 cm, D20

    cooled lattice with the low enrichment booster perpendicular

    to the reference fuel assemblies (Case 28-40) are listed

    in Table 8 and axial effects are shown in Figure 24.

    Results along the length of the booster, on the pressure

    tube surface, are shown in Table 9.

    Axial spectral perturbations, represented by S(r,z)

    values at radial locations JK1E and JKO, are shown in

    Table 10. The unperturbed normalization locations were

    at 175 cm and 165 cm at radial locations JKlE and JKO

    respectively.

  • - 42 -

    TABLE 8

    MEASURED NEUTRON SPECTRUM PARAMETERS IN LATTICE

    CASE 28-40: 28.58 cm (DyO) Reference Lattice

    61-element 20% 235U Booster Perpendicularalong K at 80 cm elevation.

    JK1E

    IJ3E

    JK3W

    JK7W

    JKO

    JK4W

    I4E

    LOLMOMNO

    Core Location

    Location

    Calandria Surface (West)

    Calandria Surface (NW)

    Calandria Surface (E)

    Calandria Surface (E)

    Thermal Pit

    Elevation

    (cm)

    1751S513511595755535

    1157511575

    11575165145125105856545

    1157511575757575

    (a) The reported activity ratios areposition relative

    Au/CuAct.

    1.5471.5361.5511.5451.6571.7651.5951.5181.5301.5281.5311.7951.5111.6481.4141.4231.4301.4571.6401.5481.4421.4521.6651.3801.3691.4181.4341.436

    1

    ratiosto the same ratio at 1

    location. The r/Tn/To value atdetermined by a Cd ratio method

    (b) 0.775 cm diameter

    the reftwith In

    Ratio

    + .015+ .015+ .015+ .015+ .017+ .018+ .016+ .015+ .015+ .015+ .015+ .018+ .015+ .016+ .014+ .014+ .014+ .015+ .016+ .016+ .014+ .015+ .017+ .014+ .014+ .014+ .014+ .014ffoo

    r/T /Tn o

    0.036 +0.035 +0.036 +0.036 +0.043 +0.050 +0.039 +0.034 +0.035 +0.035 +0.035 +0.052 +0.034 +0.043 +0.027 +0.028 +0.028 +0.030 +0.042 +0.036 +0.029 +0.030 +0.044 +0.025 +0.024 +0.028 +0.029 +0.029 +0.256 x

    .001

    .001

    .001

    .001

    .001

    .001

    .001

    .001

    .001

    .001

    .001

    .001

    .001

    .001

    .001

    .001

    .001

    .001

    .001

    .001

    .001

    .001

    .001

    .001

    .001

    .001

    .001• 00110" 3

    Method

    (b)

    at the measurementthe thermal pitTence position wasfoils.

    Au-Al and Cu foil packages.

  • - 43 -

    TABLE 9

    MEASURED NEUTRON SPECTRUM PARAMETERS AT BOOSTER ROD

    CASE 28-40: 28.58 cm (D2O) Reference Lattice

    61-element 20% 2 3 5U Booster Perpendicularalong K at 80 cm elevation.

    Distance From Centerof Perpendicular

    Booster(cm)

    5.0

    20.0

    35.0

    50.0

    65.0

    80.0 , •

    95.0

    Direction

    East

    Au/CuAct.

    2.158

    2.176

    2.130

    2.142

    2.153

    2.093

    1.669

    (h)

    Ratio

    + .022

    + .022

    + .021

    + .021

    + .022

    + .021

    + .017

    0.077

    0.078

    0.072

    0.076

    0.076

    0.072

    0.044

    +

    +

    +

    +

    +

    +

    +

    .001

    .001

    .001

    .001

    .001

    .001

    .001

    (a) Booster perpendicular along K direction at 85.0 cm elevation.Detectors located on top of booster pressure tube at 90.7 cmelevation.

    (b) The reported activity ratios are ratios at the measurementposition, relative to the same ratio at the thermal pit location.The r/T /T_ value at the reference position was determined by aCd ratio method with In foils. The detectors were 0.775 cmdiameter Au-Al and Cu foil packages.

  • _ 44 -

    0.050

    0,046-

    0.046-

    0.044-

    0.042-

    0.040-

    0.038-

    0.036-

    0.034

    O032

    0.030

    0.028

    0.775 cm DIAMETER AU-AL a CU DETECTORS

    JKIE CALANDRIA SURHCE(WEST SIDE)

    THIMBLE JKO

    20 60 80 100 120

    ELEVATION IN CORE (em)

    140 160 ISO

    TABLE 10

    AXIAL SPECTRAL PERTURBATIONS. S ( r . z )

    CASE 28-40: 28 .58 cm |D 20)Reference L a t t i c e61-e lement 20% JJI1U Boosterperpendicular along R a t 80 cm e l e v a t i o n

    Core Location

    JK1E CalandriaSurface (west)

    Elevation(cm)

    175

    155

    135

    115

    95

    75

    55

    35

    S(r,z)+ 5*

    1.00

    1.00

    1.00

    1.00

    1.19

    1.39

    1.08

    1.00

    Core Location

    JKO

    Elevation(cm)

    165

    145

    125

    105

    85

    65

    45

    S(r,z)+ 5*

    1.00

    1.00

    1.00

    1.07

    1.50

    1.29

    1.00

  • - 45 -

    4.2 Interacting Booster Results

    4.2.1 Boosters Parallel to Reference Fuel Assemblies

    Detailed spectral results in the hexagonal 30.00 cm,

    D2O cooled cores with and without three, 33-element inter-

    acting boosters parallel to the reference assemblies are

    tabulated in Appendix D. To facilitate direct comparison

    between the experiments, results in the booster and reference

    fuel bundles, and at representation lattice sites are shown

    in Table 11.

    In a few cases, r/T /T values at the booster fuel pinno c

    sheath surfaces, determined with Au and Cu strips, did not

    seem consistent with Au-Al and Cu foil measurements. Com-

    parison of results between experiments suggested that the

    thermal reference Au-Cu strip activity determination was in

    error in Cases 30-24, 30-32, and 30-65 and the results have

    been modified. Inconsistencies were not resolved in Case

    30-52D and no adjustments were made. Larger errors have

    been assigned to the strip r/Tn/TQ values in these cases to

    reflect this uncertainty.

    Here again, spectral perturbations did not extend much

    more than one lattice pitch from the booster sites. The

    central reference fuel assembly was essentially unperturbed

    for all configurations except the tightest booster spacing

    (booster pitch = 30.00 cm). In this case, the close

    coupling between the boosters resulted in a very large

    fuel average (r/Tn/TQ)Au value (0.076).

  • MEASURED NEUTRON SPECTRUM PARAMETERS

    COMPARISON OF HEXAGONAL LATTICE RESULTS

    Case

    EXPERIMENT

    30-10

    30.00 cm (DjO) Ref. Lattice

    Case 30-24

    30.00 cm (D_o) Ref. Lattice

    s 3,' JK1E

    Case

    33-element Boasters (KL0,JKlw)

    30-32

    30.00 cm (D;,O} Ref. Lattice

    & 3, 33-element Boosters (LMO,JK3E, JK2W)

    Case 30-42 ( c )

    30.OCS 3,IJ3E

    Case

    30.00with

    Case

    30.00with* 3,JK2B,

    Case

    30.00' 3,JK2E,

    cm (Djo) Ref. Lattice33-element Boosters (HN0,

    30-50E

    cm (D20) Ref. LatticeCentral 19 rods voided

    30-52D

    cm (D2O) Ref. LatticeCentral 19 Rods voided33-eleoent Boosters (LMO,JK2H)

    30-65

    cm

  • - 47 -

    4.2.2 Boosters Perpendicular to Reference Fuel Assemblies

    Spectral results in the square 28.58 cm, D20 cooled

    lattice with three, 17-element boosters perpendicular to

    the reference fuel assemblies (Case 28.57) are listed in

    Table 12 and axial effects are shown in Figure 25. Results

    along the length of the central booster, on the pressure

    tube, are shown in Table 13.

    Axial spectral perturbations represented by S(r,z)

    values at radial locations JKlE and JKO, are shown in

    Table 14. The unperturbed, normalization locations were

    at 135 cm and 165 cm at radial locations JKlE and JKO

    respectively.

    0.044 -

    0O42 -

    0.040 "

    0.088 -

    0036"

    0O34-

    0032-

    0030"

    0026-

    0O26-

    0.775 cm DIAMETER AU-AL 8 CU DETECTORS

    JKlE CALANDRIA SURFACE(EAST SIDE)

    THIMBLE JKO

    oJ L

    2 BOOSTERS'.ALONG J AND LDIRECTIONS

    _ J L20 60 80 KM 120

    ELEVATION IN CORE (cm)140

    Fig. 25 Axial r/T /T : Case 28-57no

  • - 48 -

    12

    MEASURED NEUTRON SPECTRUM PARAMETERS IN LATTICE

    CASE 28-57: 28.58 cm (DjO) Reference Lattice

    3, 17-element Interaction BoostersPerpendicular (a).

    Core Location

    Location

    JK1E Fuel: Outer Ring (W)Middle Ring (W)Inner Ring (W)Inner Ring (E)Middle Ring (E)Outer Ring (E)

    Fuel Average

    jKlf Caiandna Surface (East)

    H U E Calandria Surface (E)IJ1E Calandria Surface (N)JK3W Calandria Surface (E)JK5W Calandria Surface (E)JK7W Calandria Surface (E)JKO

    H6EI4EMOUNONONOOThermal Pit

    Elevation(cm)

    48.1

    13b11595806545258080808080165145125105857565554535656565656565

    Au/C„ (b)

    Act. Ratio

    1.6071.6851.7151.7291.6861.623

    1.650

    1.5091.5121.5791.6391.5621.5681.5541.5051.5141.6591.5821.6041.4061.4161.4141.4171.5021.5161.4651.4381.4701.5071.1141.3631.3671.4061.3621.406

    1

    + .016+ .017+ .017+ .017+ .017+ .016

    + .010

    + .015+ .015+ .016+ .0167 .016+ .016+ .016+ .015+ .015+ .017+ .016+ .016+ .014+ .014+ .014+ .014+ .015+ .015+ .015+ .014+ .0157 .015+ .0117 .014+ .014+ .014+ .014+ .014.000

    r/T /T

    0.0400.0450.0470.0480.0450.0410.043

    0.0330.0330.0380.0420.0370.0370.0360.0330.0340.0430.0380.0390.0270.0270.0270.0270.0330.0340.0300.0290,0310.0330.0080.0240.0240.0270.0240.0270.156

    +1+1+

    71+

    l+l

    ++1+

    +77771+

    +

    77777777777777771+

    7+X

    o

    .001

    .001

    .001

    .001

    .001

    .001

    .001

    .001

    .001

    .001

    .001

    .001

    .001

    .001

    .001

    .001

    .001

    .001

    .001

    .001

    .001

    .001

    .001

    .001

    .001

    .001

    .001

    .ooi

    .001

    .001

    .001

    .001

    .001

    .001

    .00110"J

    Method

    !O

    Id)

    (a) 2 boosters along J and L at 30.5 cm elevation and 1 boosteralong K direction at 80.0 cm elevation.

    (b) The reported activity ratios are ratios at the measurementpositions, relative to the same ratio at the thermal pitlocation. The r/Tn/To value at the reference position wasdetermined by a Cd ratio method with In foils.

    (c) 1.422 cm diameter Au-Al and Cu foil packages.

    (d) 0.775 cm diameter Au-Al and Cu foil packages.

  • - 49 -

    TABLE 13

    MEASURED NEUTRON SPECTRUM PARAMETERS AT BOOSTER ROD

    CASE 28-57: 28.58 cm

  • - 50 -

    TABLE 14

    AXIAL SPECTRAL PERTURBATIONS, S(r,z)

    CASE 28-57: 28.58 cm (D2O)Reference Lattice

    3, 17-element Interaction Boosters perpendicular(a)

    Core Location

    JK1E CalandriaSurface (East)

    Elevation

    135

    1159S

    8065

    45

    25

    S(r,z)

    + 5»

    1.00

    1.00

    1.15

    1.27

    1.12

    1.12

    1.09

    Core Location

    JK0

    Elevation

    165

    145

    125

    105

    8575

    65

    55

    4535

    S(r,z)+ 5*

    1.00

    1.00

    1.00

    1.00

    1.22

    1.26

    1.11

    1.07

    1.15

    1.22

    (a) 2 boosters along J and L at 30.5 cm elevation and 1 booster alongK direction at 80.0 cm elevation.

  • - 51 -

    4.3 Detector Normalization Experiment

    The spectral results of the experiment in the 28.58 cm

    D20 cooled square lattice, with the high enrichment booster

    parallel to the fuel assemblies at lattice site KO, are

    shown in Table £-1 in Appendix E. The 1.422 cm diameter

    In-Al, Lu-Mn-Al foil package results are compared with the

    results from 1.422 and 0.775 cm diameter Au-Al, I»u-Al and

    Cu and Au-Al, Cu detector packages at various cell and

    lattice sites near the center of the core.

    At each location, the Au~Cu strips r/T1 /T results

    were consistently about 10% higher than the corresponding

    Au-Al foil package results. There is some uncertainty in

    the determination of the resonance self shielding factor,

    G , and since the resonance self shielding for pure Au

    is high, it was concluded that the Gr value (0.483) was

    in error. Thus the Au-Cu strip results were normalized

    to agree with the Au-Al foil package results by adjusting

    G and these normalized values are shown in the table.

    The adjusted G for Au strips (0.524) was used in all

    determinations of r/Tn/TQ in this report.

    The results also show clearly the depression of the

    Au detector r and r/T /T parameters, relative to In,n o r

    in the vicinity of Z 3 8U. The effect is quite localized,

    however. Large discrepancies occur within a 28-element

    natural UO2 fuel bundle but at the UO2 assembly calandria

    tube surface, no difference between methods could be

    detected, within error.

  • - 52 -

    At the booster fuel pin sheath surface, booster

    pressure tube surface, and lattice sites KlE or K1W near

    the booster, (r/Tn/TQ ) A u was higher than (r/Tn/TQ)In

    The spectrum at the booster was very "hard" and the

    higher measured spectrum with Au was presumably due to the

    higher Au resonance energy (4.91 eV) compared with In (1.44 eV)

    At moderator locations removed from the booster, spectral

    parameters measured with Au or In were the same, within

    experimental error. The neutron temperature, T , determined

    by both methods agree within the large errors quoted.

    The data from Table E-l was used to convert the r/T /Tn o

    values determined with In (Table 2) to a set of values

    corresponding to a Au measurement, for the 28.58 cm D2O

    cooled reference lattice experiment (Case 28-10). These

    adjusted values (Table E-2) were used to generate a con-

    sistent set of spectral perturbation factors S(r) discussed

    in Section 4.1.

  • - 53 -

    5. SUMMARY AND CONCLUSIONS

    Measurements were made in ZED-2 with four types of235U boosters. One type was nominally 20% enriched Z35u

    (4.74 g 235U/cm length); the other three were 93%

    enriched 2 3 5U with 235U loadings of 2.21, 3.49 and 4.88

    g/cm length. The boosters were located interstitially,

    parallel to reference fuel assemblies; in some experiments,

    three boosters were inserted in three symmetric config-

    urations that varied the flux coupling between boosters.

    Experiments were also done with one or three booster

    assemblies perpendicular to the reference assemblies.

    Three reference lattice configurations were used.

    Relative gold-copper, lutetiuro-copper or indium-

    manganese, lutetium-manganese activity ratios were experimen-

    tally determined in the regions surrounding the booster

    assemblies. In some cases, detailed fine structure measure-

    ments were made in the booster and neighboring reference

    fuel assembly cells. These activity ratios were interpreted

    in terms of Westcott spectrum parameters r and T or r/T /T .

    The results show that spectral perturbation effects

    did not extend much beyond one lattice pitch (two or three

    lattice slowing down lengths) from a booster site, for all

    configurations of one or three boosters studied. However,

    the boosters were strong fast neutron sources and heavy

    thermal' neutron sinks. In the immediate vicinity of the

    boosters, and in neighboring reference fuel assemblies,

    the spectrum was quite hard. The fuel pin average r/Tn/TQ

    values of reference fuel assemblies nearest the boosters

    were typically ~ 30% higher than when unperturbed. In one

    case with three tightly spaced boosters around one reference

    fuel assembly, the fuel average r/Tn/TQ was 80% higher.

  • - 54 -

    The spectral perturbation introduced by the 20% enriched

    booster was somewhat larger than theb of the 93% enriched

    assembly (equivalent 2 3 5u content) due to additional

    absorption and fast fission effects in the 2 3 8U.

    These spectral parameter results, based on gold

    activations, are depressed in the immediate vicinity of

    fuels containing appreciable 238U since the major gold

    resonance energy is close to a large Z 3 8U resonance.

    Moreover, the results are not directly applicable to

    power reactors due to differences in reactor configuration,

    booster design, and operating conditions. Nevertheless,

    the results can provide useful information for development

    work with multi-group codes used to describe boosted cores.

  • - 55 -

    ACKNOWLEDGEMENTS

    The author wishes to thank the many people associatedwith the experiments and with the production of the report,in particular to P.D,J. Ferrigan, E. Pleau, and D. Robertswho helped perform the experiments, D.A. Kettner who countedthe detectors, Mrs. A. Bruin who prepared the diagrams andgraphs, and helped with the analysis and typing of tables,Mrs. G.D. Clark and Mrs. N.G. Hulbert who typed the text andtables, G. Stratford and S.L. Mehta who assisted with the analysisA.A. Pasanen and M.H.M. Roshd who suggested the experimentalprogram, A. Okazaki and R.E. Kay who gave advice during theanalysis, and E. Critoph who gave advice on the experimentalprogram and criticised the manuscript.

  • - 56 -

    REFERENCES *

    1. M.H.M. Roshd, "Gentilly BLW Booster Rod Experimentsin the ZED-2 Reactor", AECL-3258 (1969).

    2. K.J. Serdula and R.E. Green, "Lattice Measurementswith 28-element Natural UO2 Fuel Assemblies - Part II :Relative Total Neutron Densities and Hyperfine ActivityDistributions in a Lattice Cell", AECL-2772 (1967).

    3. R.E. Green and C.B. Bigham, "Lattice Parameter Measure-ments in ZED-2", Proc. IAEA Symp. Experimental andCritical Experiments^ Amsterdam (1963), II, 457-477(1964).

    4. A. Okazaki, private communication (1971).

    5. P. Purvis and W.R. Leach, Private Communication (1970)

    6. C.H. Westcott, "Effective Cross Section Values for Well-moderated Thermal Reactor Spectra", AECL-1101 (1964).

    7. C.B. Bigham et al., "Experimental Effective Fission CrossSections and Neutron Spectra in a Uranium Fuel Rod -Part II : CANDU-type Uranium Oxide Clusters", AECL-1350(1961).

    8. S.L. Mehta, private communication (1970).

    9. G.C. Hanna, "The Neutron Flux Perturbation Due to anAbsorbing Foil: A Comparison of Theories and Experi-ment", Nuc. Sci. Eng. JL5_, 325 (1963).

    10. w.H. Walker et al., "Measurement of Radioactive CaptureResonance Integrals in a Thermal Reactor Spectrum, andthe Thermal Cross Section of Pu240", Can. J. Phys. 38, 57(1960) .

    11. J.E. Suich and H.C. Honeck, "The HAMMER System - Hetero-geneous Analysis by Multigroup Methods of Exponentialsand Reactors", USAEC Report DP-1064 (1967).

    12. R.E. Kay and R.E. Green, "CANDU Booster Rod Experimentin ZED-2", AECL-2525 (1965).

    * AECL-XXX: Published report by Atomic Energy of Canada Ltd,

  • TABLE A-l

    DETECTOR PARAMETERS(a)

    FoilType

    Cu

    Cu

    Cu Strip

    Au

    Au Strip

    1% Au-Al

    10% Lu-Al

    5% Mn-10%Lu-Al

    1% In-Al

    Diameter(cm)

    0.775

    1.422

    0.5 cmwide

    1.422

    0.5 cmwide

    0.775 &1.422

    0.775 &1.422

    1.422

    1.422

    Foil Thicknessmg/cm2

    (cm)

    114(0.013)

    114(0.013-)

    114(0.013)

    24.6(0.0013)

    24.6(0.0013)

    69(0.025)

    39(0.013)

    72(0.025)

    35.5(0.013)

    ActivityDetected

    Cu6*

    Cu61*

    Cu61t

    A u 1 9 8

    Au 1 9 B

    Au 1 9 8

    Lu 1 7 7

    Mn 5 6

    Lu 1 7 7

    In1I6ra

    Westcott Parameters

    g

    1.000

    1.000

    1.000

    1.006

    1.006

    1.006

    (b)

    1.000(b)

    1.023

    So

    17.50

    17.50

    17.50

    (b)

    0.735(b)

    18.80

    Self Shielding Factors

    Gt

    0.997

    0.992

    0.993

    0.979

    0.979

    0.999

    0.995

    0.9870.987

    0.997

    Gr

    0.483(d)

    0.483(d)

    0.969

    0.992(c)

    0.960( .0.991KC>

    0.952

    Gr So

    0.613

    0.613

    0.613

    8.45

    8.45

    16.96

    17.90

    (a) Determined by S.L. Mehta.

    (b) Parameters vary with neutron energy.

    (c) Calculated for values of 0.143 eV resonance only.

    (d) Preliminary value; detector normalizations yielded 0.524 which was used in allcalculations in this report.

    K•3(D•1rt

    srOMla

    srt-no

    s?ft

    8rt

    8o

    to

    ui

  • - 58 -

    APPENDIX B

    Macroscopic Neutron Spectrum Results :

    61-element Boosters Parallel to Reference Fuel Assemblies

    TABLE B- l

    MACROSCOPIC MEASURED NEUTRON SPECTRUM PARAMETERS

    CASE 2 8 - 1 0 : 2 8 . 5 8 cm (D20) Reference L a t t i c e

    Core Location

    K1W

    J2W

    LOI4E

    KL2W

    KL2H

    H6E

    Thermal Pit-KL12W

    In/Mn

    (a)

    Act. Ratio

    1.423 +

    1.390 +

    1.380 +

    1.369 +

    1.440 +

    1.416 +

    1.132 +

    .014

    .014

    .014

    .014

    .014

    .014

    .011

    1.000

    0

    00

    0

    00

    0

    0

    n

    .026

    .024

    .023

    .022

    .026

    .025

    .008

    .184

    °+

    +

    +

    +

    ++

    +

    X

    (b)

    .001

    .001

    .001

    .001

    .001

    .001

    .001

    ID"3

    Lu/MnAct.

    1.056

    1.051

    1.049

    1.040

    1.069

    1.059

    1.022

    1

    (a)

    Ratio

    + .

    + .

    + .

    + .

    + ,

    + .

    + .

    .000

    011

    011010

    010

    011

    011

    010

    r

    0.025

    0.023

    0.022

    0.022

    0.026

    0.024

    0.008

    T

    (°c

    35

    34

    3331

    39

    36

    26

    :)

    ++

    ++

    +

    +

    +

    3

    3

    33

    3

    3

    3

    21.01

    Method

    (c)

    (a) The reported activity ratios are ratios at the measurementposition, relative to the same ratio at the thermal pitlocation. The r/T /T value reported at the thermal pitwas determined from a Cd ratio method with In foils.

    (b) To = T D 2 1 > 0 1

    (c) 1.422 cia d iameter Lu-Mn-Al and In-Al f o i l package .

  • 59 -

    TABLE B-2

    MACROSCOPIC MEASURED NEUTRON SPECTRUM PARAMETERS

    CASE 28-20: 28.58 cm (DjO) Reference Lattice

    61-element 20* 235U Booster at KO

    Core Location

    K1WJ2W

    L0

    I4EKL6W

    JK3W (W)Cal. Surface

    H6E

    Thermal Pit-KL12W

    Au/Cu or (a)

    In/MnAct. Ratio

    1.

    1.

    1.

    1.

    1.

    1.

    1.

    1.

    1.

    1.1.

    1.

    1.

    1.

    1.1.

    1.

    688 +

    370 +

    404 +

    378 +

    435 +

    445 +

    462 +

    406 +

    424 +

    428 +

    224 +

    523 +

    558 +

    524 +

    544 +

    244 +

    128 +

    .022

    .018

    .019

    .018

    .019

    .019

    .019

    .019

    .014

    .014

    .012

    .020

    .021

    .014

    .015

    .012

    .015

    1.000

    W

    0.

    0.

    0.

    0.

    0.0.

    0.

    0.

    0.0.

    0.

    0.

    0.0.

    0.

    0.

    0

    0

    045

    024

    026

    025028

    029030

    027

    028026

    031

    034

    036034

    033

    034

    009

    950

    o

    i -"o1

    + .001

    + .001

    + .001

    + .001

    + .001

    + .001

    + .001

    + .001

    + .001

    + .002

    + .001

    + .001

    + .001

    + .001

    + .002

    + .001

    x 10~3

    Lu/Cu or (a>

    Lu/MnAct. Ratio

    1.085 +

    1.048 +

    1.063 +

    1.044 +

    1.061 +

    1.053 +

    1.072 +

    1.046 +

    1.059 +

    1.046 +

    1.109 +

    1.122 +

    1.131 +

    1.085 +

    1.032 +

    .014

    .014

    .014

    .014

    .014

    .014

    .014

    .014

    .011

    .001

    .015

    .015

    .011

    .011

    .014

    1.000

    0

    0

    0

    0

    00

    00

    00

    0

    0

    00

    0

    r

    .043

    .024

    .026

    .024

    .028

    .028

    .029

    .029

    .027

    .025

    .033

    .034

    .022

    .032

    .009

    Tn

  • - 60 -

    TABLE B-3

    MACROSCOPIC MEASURED NEUTROH SPECTRUM PARAMETERS

    CASE 28-30: 28.58 cm (D2O)Reference Lattice61-element 93% 2 S 5u Booster at K0

    Core Location

    K1W

    J2W

    I4E

    K4W

    JK2W

    H6E

    Thermal Pit- KL12W

    Au/Cu or (a)In/Mn

    Act. Ratio

    1.626 +

    1.332 +

    1.329 +

    1.351 +

    1.383 +

    1.416 i

    1.429 +

    1.435 +

    . 1.100 +

    .022

    .011*.

    .018

    .014

    .014

    .014

    .014

    .014

    .015

    1.000

    r

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    .041

    .022

    .022

    .023

    .023

    .027

    .028

    .026

    .007

    .127

    +

    +

    +

    +

    +

    +

    +

    +

    +

    X

    (b)

    .001

    .001

    .001

    .001

    .001

    .001

    .001

    .001

    .001

    ID"3

    Lu/Cu or (a)Lu/Mn

    Act. Ratio

    1.047 + .010

    1.052 + .011

    1.063