Thermal Neutron Scattering Cross Section Measurements of

Heavy Water

• G. Li (AECL)• G. Bentoumi (AECL)• L. Li (AECL)• B. Sur (AECL)• Z. Tun (NRC- CNBC)

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2014 CAP CongressSudbury, Ontario2014-06-19

Cross Section

/d d 2 /d d dE

Total cross section

Differential

Double Differential

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3

Neutrons in the Reactor

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44

Super-Critical Water Reactor (SCWR)

up to 650 ℃

up to 350 ℃

SCWR

Picture courtesy of I. L. Pioro

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AECL - OFFICIAL USE ONLY / À USAGE EXCLUSIF - EACL 5

Triple Axis Spectrometer

6

Triple Axis Spectrometer

2 sind

Picture courtesy of J. Root(CNBC)UNRESTRICTED / ILLIMITÉ

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: Total Cross Section

exp( )NTransmission t

SampleDetector

Beam

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8

: Total Cross Section

Kropff 20C EXFOR 30283.002 BNL-325 EXFOR 11019.002 Rainwater EXFOR 11145.002 AECL 2013

IKE coherentIKE incoherent

o x +

- - - - -

AECL 2013

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Normalization by Vanadium

Vanadiumtarget

sample Vanadium

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Normalization Equation

2 2

24

D O D OV V

D O V

d Cnd n C

1 2

1 2

2( )

( )4 2D E EV vD

D V E E

Cndd dE n C

Scattering Law Representation of2

1 2 2 2

1

( , ) ( , )4

DbDd E E E e Sd dE kT E

2 /d d dE ( , )S

: momentum transfer equivalent; : energy transfer equivalent

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1111

2/ of D O, beam energy 41 meVd d

scattering angle(degree)0 20 40 60 80 100 120

(bar

n/sr

)

/dd

0

0.5

1

1.5

2

2.5

3

from Springer

AECL 2013

IKE coherent

AECL 2013

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2( , ) of D O, with 27 meV energy transferS

0.2 0.4 0.6 0.8 1 1.2 1.4

) ,

S(

0

0.02

0.04

0.06

0.08

0.1

0.12

0.14

0.16 AECL 2013, no corrections Harling 1968AECL 2013ENDFAECL 2013

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SummaryAchievements:Reproduced the measurements of

Issues:Multiple scattering

Plans:• Simulations using Geant4 and MCNP• Going to supercritical conditions

• • •

/d d

2 /d d dE

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