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P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17 2003 P4: 1 QUADOS QUADOS Neutron and/or photon response of a TLD-albedo personal dosemeter on an ISO slab phantom Problem P4 Rick J Tanner National Radiological Protection Board Chilton, Didcot, Oxon OX11 0RQ, United Kingdom Intercomparison on the Usage of Computational Codes in Radiation Dosimetry Workshop in Bologna-Italy July 14 -17 2003

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Page 1: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 1QUADOSQUADOS

Neutron and/or photon response of a TLD-albedo personal dosemeter on

an ISO slab phantom

Problem P4

Rick J TannerNational Radiological Protection Board

Chilton, Didcot, Oxon OX11 0RQ, United Kingdom

Intercomparison on the Usageof Computational Codes in Radiation Dosimetry

Workshop in Bologna-Italy July 14 -17 2003

Page 2: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 2QUADOSQUADOS

Albedo dosemeters

General features

Page 3: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 3QUADOSQUADOS

Albedo dosemeters: I

• Original concept from UKAEA in the 1960’s

• More than 30 years later still one of the most commonly used personal dosemeters

• Basic principle relies on the detection of neutrons moderated in the body

• Sensitive volume shielded from direct neutrons

• Use capture reactions for detection

• Shield using material with large thermal neutron capture cross-section

Page 4: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 4QUADOSQUADOS

Albedo dosemeters: II

• Albedo field has a strong thermalized component

• Capture reactions such as 6Li(n, t) or 10B(N, α) detect the backscattered field with good efficiency

• 6Li(n, t) is particularly useful because LiF is commonly used for thermoluminescence detectors (TLDs)

• Shield from incident thermals using boron-loaded plastic holder or cadmium

• Can add an unshielded element to give additional information on field hardness

Page 5: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 5QUADOSQUADOS

Albedo dosemeters: III

• Natural lithium is 7.5% 6Li, 92.5% 7Li

• Typically β/γ TL-detectors 99.93% 7Li

• Typically neutron TL-detectors 95.6% 6Li

• Use four elements: two 7Li enriched to give the photon response and two 6Li enriched to give the neutron response

• Algorithm for dose equivalent involves subtraction of the low LET component and correction for field hardness

Page 6: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 6QUADOSQUADOS

Important capture cross-sections (JEF-PC)

10-3 10-2 10-1 100 101 102 103 104 105 106 107

Neutron energy (eV)

10-3

10-2

10-1

100

101

102

103

104

105C

ross

-sect

ion

(barn

s) 6Li(n, t)

Cd(n, γ)

10B(n, α)

Page 7: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 7QUADOSQUADOS

6Li cross-sections (JEF-PC)

10-3 10-2 10-1 100 101 102 103 104 105 106 107

Neutron energy (eV)

10-3

10-2

10-1

100

101

102

103

104C

ross

-sect

ion

(barn

s)

6Li(n, p)

Total

Elastic

6Li(n, t)

Page 8: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 8QUADOSQUADOS

P4 Specification

Page 9: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 9QUADOSQUADOS

Problem

• Model the photon response using the absorbed dose to the TL-material. Assume light output is proportional to dose.

• Model the neutron response by counting 6Li(n, t)αevents. Assume that the neutron response is proportional to the number of capture reactions.

• Calculate the fraction of the neutron and photon response that is due to backscatter

Page 10: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 10QUADOSQUADOS

Irradiation conditions

• 30 cm x 30 cm plane parallel source located in a vacuum, incident normal to the front face of the phantom

• 30 cm x 30 cm x 15 cm ISO, water filled slab phantom (PMMA walls)

• Dosemeter mounted on the centre of the front face of the phantom

Page 11: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 11QUADOSQUADOS

Dosemeter

Element 1 2 3 4x-offset -0.75 cm +0.75 cm -0.75 cm +0.75 cm

y-offset +1.75 cm +1.75 cm -1.75 cm -1.75 cm6Li (%) 95.6 0.07 95.6 0.077Li (%) 4.4 99.93 4.4 99.93

ρ (g cm-3) 2.54 2.64 2.54 2.64

Frontshielding

None none 4 mmboronloadedplastic plus1 mm Al

4 mmboronloadedplastic plus1 mm Al

Backshielding

2 mmboronloadedplastic

2 mmboronloadedplastic

none none

Page 12: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 12QUADOSQUADOS

Dosemeter

Water

PMMA (Perspex)

Aluminium

LiF

Boron loaded CH2

Page 13: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 13QUADOSQUADOS

Slices through dosemeter

back front

Aluminium 7LiF

Boron loaded CH2 6LiF

Page 14: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 14QUADOSQUADOS

Author’s (normalization) solution: PHOTONS

Page 15: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 15QUADOSQUADOS

General

• Implied kerma approximation

– Calculation in vacuum

– Need air column for secondary charged particle build up

– Variable depth because of ranges of secondaries

– Diameter of column?

– Electron transport will produce significant differences where the ranges of the electrons are significant

• Rapid calculation

– 33 keV main problem because of poor penetration

– Little need for variance reduction

– Generally very good agreement: refer to paper for results

Page 16: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 16QUADOSQUADOS

Photon response: author

10 100 1000

Photon energy, Eγ (keV)

3

10

40

Resp

on

se (

MeV

g-1

)

E1: 6LiF, bare

E3: 6LiF, Hp(10)

E4: 7LiF, Hp(10)

E2: 7LiF, bare

Page 17: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 17QUADOSQUADOS

Author’s (normalization) solution: NEUTRONS

Page 18: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 18QUADOSQUADOS

Normalization solution: neutrons

• MCNP-4C

• F4 tally, track-length estimate of fluence with FM card - pure 6Li for tally only

• FM card: ρatom × V (i.e. atomic density of 6Li multiplied by the volume of the element)

• Relevant data in MCNP Table 60: atomic density needs to be multiplied by 0.5 × 6Li%

• ENDF/B-vi continuous cross-sections

• 40 cells, 41 surfaces, six materials

• S(α, β) for water, and used CH2 for polymers

Page 19: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 19QUADOSQUADOS

Source neutrons (fixed CTME): analogue

10-8

10-7

10-6

10-5

10-4

10-3

10-2

10-1

100

101

Neutron energy (MeV)

0

5

10

15

20S

ou

rce n

eu

tro

ns

(x1

06

)

Page 20: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 20QUADOSQUADOS

Analogue, total response

10-8

10-7

10-6

10-5

10-4

10-3

10-2

10-1

100

101

Neutron energy, En (MeV)

10-10

10-9

10-8

10-7

10-6

10-5

10-4

10-3

Resp

on

se p

er

sou

rce n

eu

tro

n

E1: 6LiF, direct

E3: 6LiF, albedo

E4: 7LiF, albedo

E2: 7LiF, direct

Page 21: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 21QUADOSQUADOS

Analogue, backscatter

10-8

10-7

10-6

10-5

10-4

10-3

10-2

10-1

100

101

Neutron energy, En (MeV)

10-11

10-10

10-9

10-8

10-7

10-6

10-5Fla

gg

ed

resp

on

se p

er

sou

rce n

E3: 6LiF, albedo

E1: 6LiF, direct

E4: 7LiF, albedo

E2: 7LiF, direct

Page 22: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 22QUADOSQUADOS

Normalization solution: VR

• Main problem is to get thermal neutrons back from the phantom, through boron-loaded plastic to the TL-element

• Introduced extra cells in the vacuum and phantom to increase the response

• Used energy dependent weight windows to allow high-energy neutrons to pass through the phantom but increase the number of lower energy neutrons

• WWE:n = 100 meV, 10 eV, 1 keV, 1 MeV, 10 MeV

Page 23: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 23QUADOSQUADOS

WWE, total response

10-8

10-7

10-6

10-5

10-4

10-3

10-2

10-1

100

101

Neutron energy, En (MeV)

10-10

10-9

10-8

10-7

10-6

10-5

10-4

10-3

Resp

on

se p

er

sou

rce n

E1: 6LiF, direct

E3: 6LiF, albedo

E4: 7LiF, albedo

E2: 7LiF, direct

Page 24: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 24QUADOSQUADOS

6Li(n, t) and Hp(10)/Φ

10-8

10-7

10-6

10-5

10-4

10-3

10-2

10-1

100

101

Neutron energy, En (MeV)

10-10

10-9

10-8

10-7

10-6

10-5

10-4

10-3

Resp

on

se p

er

sou

rce n

6

10

30

60

100

300

600H

p (10

)/Φ

(pS

v cm

2)E2: 7LiF, direct

Hp(10)/Φ

E3: 6LiF, albedo

E1: 6LiF, direct

E4: 7LiF, albedo

Page 25: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 25QUADOSQUADOS

Hp(10) response

10-8

10-7

10-6

10-5

10-4

10-3

10-2

10-1

100

101

Neutron energy, En (MeV)

10-3

10-2

10-1

100

101

102

103

104

6Li(

n,

t) (µ S

v-1

)

E1: 6LiF, direct

E3: 6LiF, albedo

E4: 7LiF, albedo

E2: 7LiF, direct

Page 26: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 26QUADOSQUADOS

Rdirect(6Li)/Ralbedo(6Li)

1.00E-01

1.00E+00

1.00E+01

2.53E-08 1.00E-06 1.00E-05 1.00E-04 1.00E-03 1.00E-02 1.00E-01 1.00E+00 1.00E+01 2.00E+01

Direct/Albedo

Neut

ron

Ene

rgy

(MeV

)

Page 27: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 27QUADOSQUADOS

Backscatter: cell flagging for phantom

10-8

10-7

10-6

10-5

10-4

10-3

10-2

10-1

100

101

Neutron energy, En (MeV)

10-10

10-9

10-8

10-7

10-6

10-5

10-4

Fla

gg

ed

resp

on

se p

er

sou

rce n

E3: 6LiF, albedo

E1: 6LiF, direct

E4: 7LiF, albedo

E2: 7LiF, direct

Page 28: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 28QUADOSQUADOS

Backscatter, normalized (flagging)

10-8

10-7

10-6

10-5

10-4

10-3

10-2

10-1

100

101

Neutron energy, En (MeV)

0

0.5

1.0

Fla

gg

ed

resp

on

se p

er

sou

rce n

E1: 6LiF, direct

E3: 6LiF, albedo

E4: 7LiF, albedo

E2: 7LiF, direct

Page 29: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 29QUADOSQUADOS

Backscatter fraction (flagging)

10-8

10-7

10-6

10-5

10-4

10-3

10-2

10-1

100

101

Neutron energy, En (MeV)

0

0.5

1.0

Fla

gg

ed

resp

on

se/

To

tal R

esp

on

se

E1: 6LiF, direct

E3: 6LiF, albedo

E4: 7LiF, albedo

E2: 7LiF, direct

Page 30: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 30QUADOSQUADOS

BS fraction: flagging and voiding

10-8

10-7

10-6

10-5

10-4

10-3

10-2

10-1

100

101

Neutron energy, En (MeV)

0

0.5

1.0

Back

scatt

er

resp

on

se f

ract

ion

E1: 6LiF, direct

E3: 6LiF, albedo

E4: 7LiF, albedo

E2: 7LiF, direct

Voided phantom

Page 31: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 31QUADOSQUADOS

Participants’ solutions

Page 32: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 32QUADOSQUADOS

Participants: codes

• 17 solutions

• 16 Monte Carlo

• 1 deterministic

• 15 participants transported photons

• 14 participants transported neutrons

• 13 solutions using MCNP family of codes

• 2 solutions using MCNPX

• One own code (photon only, but can transport n)

• One each TRIPOLI and PENELOPE

Page 33: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 33QUADOSQUADOS

Participants: origin

• 13 solutions from Europe

• 11 from EU

– France 4

– UK 3

– Austria, Greece, Italy Portugal 1 each

• 2 from Eastern Europe

• 3 from the US

• 1 from South America

Page 34: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 34QUADOSQUADOS

P4-A

• Comprehensive report

• Russian roulette to kill neutrons in the water

• Additional energy: 223 keV

– peak in the 6Li(n, t) cross-section

– shows as an increase in the response

– more visible as smaller backscatter fraction

• Careful inspection of cross-sections

• FM problem

• Tally all (n, t)

Page 35: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 35QUADOSQUADOS

Normalized n response: P4-A

10-8

10-7

10-6

10-5

10-4

10-3

10-2

10-1

100

101

Neutron energy, En (MeV)

0.4

1.0

4.0

10

Back

scatt

er

resp

on

se f

ract

ion

E1: 6LiF, direct

E3: 6LiF, albedo

E4: 7LiF, albedo

E2: 7LiF, direct

Page 36: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 36QUADOSQUADOS

Normalized n response: P4-A. FM corrected

10-8

10-7

10-6

10-5

10-4

10-3

10-2

10-1

100

101

Neutron energy, En (MeV)

0.5

1.0

5.0

10

No

rmalize

d r

esp

on

se

E1: 6LiF, direct

E3: 6LiF, albedo

E4: 7LiF, albedo

E2: 7LiF, direct

7Li(n, t)

Page 37: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 37QUADOSQUADOS

High energy LiF cross-sections (JEF-PC)

1 2 3 4 5 7 10 20

Neutron energy (eV)

10-4

10-3

10-2

10-1

100C

ross

-sect

ion

(barn

s)

6Li

Target7Li 19F

(n, t)

(n, p)

(n, d)

(n, α)

Reaction

Q = +4.8 MeVQ = -3.4 MeV

Page 38: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 38QUADOSQUADOS

Backscatter fraction: P4-A

10-8

10-7

10-6

10-5

10-4

10-3

10-2

10-1

100

101

Neutron energy, En (MeV)

0

0.2

0.4

0.6

0.8

1.0

No

rmalize

d b

ack

scatt

er

fract

ion

E1: 6LiF, direct

E3: 6LiF, albedo

E4: 7LiF, albedo

E2: 7LiF, direct

Page 39: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 39QUADOSQUADOS

With and without S(α, β) in PMMA: P4-A

10-8

10-7

10-6

10-5

10-4

10-3

10-2

10-1

1

Neutron energy, En (MeV)

0.8

0.9

1.0

1.1

S(α

, β )

: (W

ate

r &

PM

MA

)/W

ate

r

E1: 6LiF, direct

E3: 6LiF, albedo

E4: 7LiF, albedo

E2: 7LiF, direct

Page 40: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 40QUADOSQUADOS

P4-B

• Thorough report

• Analogue solution

• In air not vacuum: source 2.5 cm from phantom (1.71 cm from front of holder)

• No 7Li(n, t) available, but subtracted 19F(n,t)

• Initial problem with FM card: neglected cell volume. Later corrected.

• Tally all (n, t)

• 4x107 histories for all energies

• Backscatter by energy deposited & “flux”

Page 41: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 41QUADOSQUADOS

Normalized response: P4-B

10-8

10-7

10-6

10-5

10-4

10-3

10-2

10-1

100

101

Neutron energy, En (MeV)

0.8

1.0

2

3

5

7

10

15

20

25

No

rmalize

d r

esp

on

se

E1: 6LiF, direct

E3: 6LiF, albedo

E4: 7LiF, albedo

E2: 7LiF, direct

Page 42: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 42QUADOSQUADOS

Backscatter from F6: P4-B

10-8

10-7

10-6

10-5

10-4

10-3

10-2

10-1

100

101

Neutron energy, En (MeV)

0.01

0.1

1

10

No

rmalize

d b

ack

scatt

er

E1: 6LiF, direct

E3: 6LiF, albedo

E4: 7LiF, albedo

E2: 7LiF, direct

Page 43: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 43QUADOSQUADOS

Backscatter from F4: P4-B

0.10

1.00

10.00

2.53E-08 1.00E-06 1.00E-05 1.00E-04 1.00E-03 1.00E-02 1.00E-01 1.00E+00 1.00E+01 2.00E+01

Neutron energy (MeV)

Bac

ksca

tter f

ract

ion

E1: 6Li, directE3: 6Li, albedoE2: 7Li, directE4: 7Li, lbedo

Page 44: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 44QUADOSQUADOS

P4-C

• No report

• Problem with 7Li chips: results ~ factor of 104 too low

• 6Li results ~ 0.4 but energy dependent difference

• Backscatter by phantom voiding, but not presented here because of problems with total response

Page 45: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 45QUADOSQUADOS

Normalized n response: P4-C

0.0000

0.0500

0.1000

0.1500

0.2000

0.2500

0.3000

0.3500

0.4000

0.4500

0.5000

2.53E-08 1.00E-06 1.00E-05 1.00E-04 1.00E-03 1.00E-02 1.00E-01 1.00E+00 1.00E+01 2.00E+01

Neutron energy (MeV)

Neu

tron

resp

onse

E1: 6Li, direct

E3: 6li albedo

0.0000

0.0001

0.0010

0.0100

0.1000

1.0000

Neutron energy (MeV)

Neut

ron

resp

onse

E1: 6Li, direct

E2: 7Li direct

E3: 6li albedo

E4: 7Li albedo

Page 46: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 46QUADOSQUADOS

P4-D

• No report - late submission

• Problem with all data ~ factor 100-1000 low

• Energy dependent difference

• Backscatter not calculated

Page 47: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 47QUADOSQUADOS

Normalized n response: P4-D

0.00E+00

1.00E-03

2.00E-03

3.00E-03

4.00E-03

5.00E-03

6.00E-03

7.00E-03

8.00E-03

2.53E-08 1.00E-06 1.00E-05 1.00E-04 1.00E-03 1.00E-02 1.00E-01 1.00E+00 1.00E+01 2.00E+01

Neutron Energy (MeV)

Neut

ron

resp

onse

E 1: 6Li, directE 2: 7Li, DirectE 3: 6Li, AlbedoE 4: 7Li, Albedo

Page 48: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 48QUADOSQUADOS

P4-E

• No report, but input files and comprehensive data supplied

• Calculation analogue in provided input file

• Calculated induced photon signal in the chips (would be important in the real dosemeter)

• Backscatter by phantom voiding

Page 49: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 49QUADOSQUADOS

Normalized n results: P4-E

-0.50

0.00

0.50

1.00

1.50

2.00

2.50

3.00

3.50

4.00

2.53E

-081.0

0E-06

1.00E

-051.0

0E-04

1.00E

-031.0

0E-02

1.00E

-011.0

0E+0

01.0

0E+0

12.0

0E+0

1

Neutron Energy (MeV)

Bac

ksca

tter

frac

tion

E 1: 6Li, direct

E 2: 7Li, Direct

E 3: 6Li, Albedo

E 4: 7Li, Albedo

0.800

0.850

0.900

0.950

1.000

1.050

1.100

1.150

1.200

Neutron Energy (MeV)

Neut

ron

Resp

onse

E 1: 6Li, direct

E 2: 7Li, Direct

E 3: 6Li, Albedo

E 4: 7Li, Albedo

Page 50: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 50QUADOSQUADOS

P4-F

• No report

• Large energy dependent errors

Page 51: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 51QUADOSQUADOS

Results: P4-F

0.01

0.10

1.00

10.00

100.00

2.53E

-081.0

0E-06

1.00E

-051.0

0E-04

1.00E

-031.0

0E-02

1.00E

-011.0

0E+0

01.0

0E+0

12.0

0E+0

1

Neutron energy (MeV)

Bac

ksca

tter f

ract

ion

E 1: 6Li, directE 2: 7Li, DirectE 3: 6Li, AlbedoE 4: 7Li, Albedo

0.100

1.000

10.000

100.000

1000.000

2.53E

-081.0

0E-06

1.00E

-051.0

0E-04

1.00E

-031.0

0E-02

1.00E

-011.0

0E+0

01.0

0E+0

12.0

0E+0

1

Neutron energy (MeV)

Neu

tron

resp

onse

E 1: 6Li, directE 2: 7Li, DirectE 3: 6Li, AlbedoE 4: 7Li, Albedo

Page 52: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 52QUADOSQUADOS

P4-G

• No report

• Very small statistical uncertainties: 0.3-2.7%

• Tripoli solution but very close agreement with normalization solution

• Did not calculate backscatter

• Only participant to request experimental data

Page 53: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 53QUADOSQUADOS

Normalized n response: P4-G

0.900

0.920

0.940

0.960

0.980

1.000

1.020

1.040

1.060

1.080

2.53E

-08

1.00E

-06

1.00E

-05

1.00E

-04

1.00E

-03

1.00E

-02

1.00E

-011.0

0E+00

1.00E

+012.0

0E+01

Neutron energy (MeV)

Nor

mal

ized

neu

tron

resp

onse

E 1: 6Li, directE 2: 7Li, DirectE 3: 6Li, AlbedoE 4: 7Li, Albedo

Page 54: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 54QUADOSQUADOS

P4-H

• Brief report - paper submitted with updated data

• Generally small statistical uncertainties: 1-3%, but larger for some results

• Close agreement with normalization solution

• Backscatter by voiding phantom

Page 55: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 55QUADOSQUADOS

Normalized n response: P4-H

0.80

0.85

0.90

0.95

1.00

1.05

1.10

2.53E

-081.0

0E-06

1.00E

-051.0

0E-04

1.00E

-031.0

0E-02

1.00E

-011.0

0E+0

01.0

0E+0

12.0

0E+0

1

Neutron energy (MeV)

Nor

mal

ized

neu

tron

resp

onse

E 1: 6Li, directE 2: 7Li, DirectE 3: 6Li, AlbedoE 4: 7Li, Albedo

0.00

0.50

1.00

1.50

2.00

2.50

3.00

3.50

4.00

4.50

2.53E

-081.0

0E-06

1.00E

-051.0

0E-04

1.00E

-031.0

0E-02

1.00E

-011.0

0E+0

01.0

0E+0

12.0

0E+0

1

Neutron energy (MeV)

Nor

mal

ized

bac

ksca

tter

frac

tion E 1: 6Li, direct

E 2: 7Li, DirectE 3: 6Li, AlbedoE 4: 7Li, Albedo

Page 56: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 56QUADOSQUADOS

P4-J

• Provided report & input files

• Some significant statistical uncertainties

• Generally close agreement with normalization solution

• Backscatter by cell flagging

• S(α, β) for water only

• 15 million histories

• Analogue

• Pure 6Li for tallies

Page 57: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 57QUADOSQUADOS

Normalized n results: P4-J

0.60

0.80

1.00

1.20

1.40

1.60

1.80

2.53E

-081.0

0E-06

1.00E

-051.0

0E-04

1.00E

-031.0

0E-02

1.00E

-011.0

0E+0

01.0

0E+0

12.0

0E+0

1

Neutron energy (MeV)

Bac

ksca

tter

frac

tion

E 1: 6Li, direct

E 2: 7Li, Direct

E 3: 6Li, Albedo

E 4: 7Li, Albedo

0.600

0.800

1.000

1.200

1.400

1.600

1.800

2.53E

-081.0

0E-06

1.00E

-051.0

0E-04

1.00E

-031.0

0E-02

1.00E

-011.0

0E+0

01.0

0E+0

12.0

0E+0

1Neutron energy (MeV)

Neu

tron

resp

onse

E 1: 6Li, direct

E 2: 7Li, Direct

E 3: 6Li, Albedo

E 4: 7Li, Albedo

Page 58: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 58QUADOSQUADOS

P4-K

• Provided short report & input files

• Backscatter by phantom voiding

• S(α, β) not used

• 15 million histories

• Used cell importances for variance reduction

• Pure 6Li for tallies

• Used 6000.24y ENDF/B-V dosimetry cross-section

Page 59: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 59QUADOSQUADOS

Normalized n results: P4-K

0.800

0.900

1.000

1.100

1.200

1.300

1.400

1.500

1.600

2.53E

-081.0

0E-06

1.00E

-051.0

0E-04

1.00E

-031.0

0E-02

1.00E

-011.0

0E+0

01.0

0E+0

12.0

0E+0

1

Neutron energy (MeV)

Neu

tron

resp

onse

E 1: 6Li, direct

E 2: 7Li, Direct

E 3: 6Li, Albedo

E 4: 7Li, Albedo

0.60

0.80

1.00

1.20

1.40

1.60

1.80

2.00

2.53E

-081.0

0E-06

1.00E

-051.0

0E-04

1.00E

-031.0

0E-02

1.00E

-011.0

0E+0

01.0

0E+0

12.0

0E+0

1

Neutron energy (MeV)

Bac

ksca

tter

frac

tion

E 1: 6Li, direct

E 2: 7Li, Direct

E 3: 6Li, Albedo

E 4: 7Li, Albedo

Page 60: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 60QUADOSQUADOS

P4-N

• Deterministic

• Backscatter not possible with deterministic method

• Provided short report

• Direct and adjoint

• Results for group energies

• Takes seconds to run

• Simplified geometry

Page 61: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 61QUADOSQUADOS

Normalized n results: P4-N

0.600

0.800

1.000

1.200

2.53E-08 1.00E-06 1.00E-05 1.00E-04Neutron energy (MeV)

Neut

ron

resp

onse

E 1: 6Li, direct

E 2: 7Li, Direct

E 3: 6Li, Albedo

E 4: 7Li, Albedo

0.70

0.80

0.90

1.00

1.10

1.20

1.30

2.53E-08 1.00E-06 1.00E-05 1.00E-04 1.00E-03 1.00E-02 1.00E-01 1.00E+00 1.00E+01 2.00E+01

Neutron energy (MeV)

Neu

tron

Res

pons

e

E 1: 6Li, directE 2: 7Li, Direct

E 3: 6Li, AlbedoE 4: 7Li, Albedo

Direct Adjoint

Page 62: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 62QUADOSQUADOS

P4-P

• Provided short report

• Backscatter by phantom voiding

• Very small statistical uncertainties

Page 63: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 63QUADOSQUADOS

Normalized n results: P4-P

0.100

1.000

10.000

100.000

2.53E

-081.0

0E-06

1.00E

-051.0

0E-04

1.00E

-031.0

0E-02

1.00E

-011.0

0E+0

01.0

0E+0

12.0

0E+0

1

Neutron energy (MeV)

Neu

tron

resp

onse

E 1: 6Li, direct

E 2: 7Li, Direct

E 3: 6Li, Albedo

E 4: 7Li, Albedo

-0.50

0.00

0.50

1.00

1.50

2.00

2.53E

-081.0

0E-06

1.00E

-051.0

0E-04

1.00E

-031.0

0E-02

1.00E

-011.0

0E+0

01.0

0E+0

12.0

0E+0

1

Neutron energy (MeV)

Bac

ksca

tter

frac

tion

E 1: 6Li, direct

E 2: 7Li, Direct

E 3: 6Li, Albedo

E 4: 7Li, Albedo

Page 64: Neutron and/or photon response of a TLD-albedo personal ...old.enea.it/com/web/news/attiv/p_guald/P4_Tanner_Summary.pdf · P4 - TLD-albedo dosemeter Workshop in Bologna July 14-17

P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 64QUADOSQUADOS

P4-R

• Provided short report - subject to thorough approval process

• Backscatter not calculated• Beta-version of MCNP5 (no Doppler broadening)• Used source biasing to improve statistics• Mesh based weight windows for neutrons and

photons• Generally small statistical uncertainties• Checked for convergence of results• Energy dependent systematic difference

compared to author

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P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 65QUADOSQUADOS

Normalized neutron results: P4-R

0.000

20.000

40.000

60.000

80.000

100.000

120.000

140.000

160.000

180.000

2.53E

-08

1.00E

-06

1.00E

-05

1.00E

-04

1.00E

-03

1.00E

-02

1.00E

-01

1.00E

+00

1.00E

+01

2.00E

+01

Neutron energy (MeV)

Neu

tron

resp

onse

E 1: 6Li, direct

E 2: 7Li, Direct

E 3: 6Li, Albedo

E 4: 7Li, Albedo

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P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 66QUADOSQUADOS

P4-S

• Provided short report

• Backscatter by flagging

• Very small statistical uncertainties

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P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 67QUADOSQUADOS

Normalized neutron results: P4-S

0.850

0.900

0.950

1.000

1.050

1.100

1.150

2.53E

-081.0

0E-06

1.00E

-051.0

0E-04

1.00E

-031.0

0E-02

1.00E

-011.0

0E+0

01.0

0E+0

12.0

0E+0

1

Neutron energy (MeV)

Neu

tron

resp

onse

E 1: 6Li, directE 2: 7Li, DirectE 3: 6Li, AlbedoE 4: 7Li, Albedo

0.60

0.70

0.80

0.90

1.00

1.10

1.20

1.30

1.40

2.53E

-081.0

0E-06

1.00E

-051.0

0E-04

1.00E

-031.0

0E-02

1.00E

-011.0

0E+0

01.0

0E+0

12.0

0E+0

1

Neutron energy (MeV)

Bac

ksca

tter

fract

ion

E 1: 6Li, direct

E 2: 7Li, Direct

E 3: 6Li, Albedo

E 4: 7Li, Albedo

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P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 68QUADOSQUADOS

Conclusions - neutrons I

• Several participants noted that they are not familiar with this type of dosemeter (nor is the author!)– 1 participant comes from a laboratory that runs a TLD-

albedo service– others (including the author) come from laboratories that

run β/γ TLD services

• Impressed by the quality of some of the reports

• Some late entries were clearly not given as much time as they otherwise would have received

• I have not interacted with the participants to give them a chance to submit revised data, although some authors did revise their data spontaneously

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P4 - TLD-albedo dosemeterWorkshop in Bologna July 14-17 2003

P4: 69QUADOSQUADOS

Conclusions - neutrons II

• Some problems with tallying/scoring

– Some FM card values not calculated correctly

– Some participants tallied over LiF

– Others have errors that have not been explained

– Correct cross-section: 3006.60c or 3006.24y?

• Not very much use of variance reduction

• Statistical errors reported in almost all cases

• Some very large, energy dependent errors

• Deterministic calculation quickest and better than badly applied Monte Carlo