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Optimization of moderator assembly for neutron flux
measurement: experimental and theoretical approaches
Abdul Waheed
1
•Nawab Ali
2
•Muzahir A. Baloch
3
•Aziz A. Qureshi
1
•
Eid A. Munem
4
•Muhammad Usman Rajput
2
•Tauseef Jamal
5
•Wazir Muhammad
6
Received: 24 June 2016 / Revised: 2 September 2016 / Accepted: 24 September 2016 / Published online: 28 March 2017
Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Chinese Nuclear Society, Science Press China and Springer
Science+Business Media Singapore 2017
Abstract A moderator of paraffin wax assembly has been
demonstrated where its thickness can be optimized to
thermalize fast neutrons. The assembly is used for mea-
suring fast neutron flux of a neutron probe at different
neutron energies, using BF
3
(U100 and 200) and
3
He(U0.500)
neutron detectors. The paraffin wax thickness was opti-
mized at 6 cm for the neutron probe which contains an
Am–Be neutron source. The experimental data are com-
pared with Monte Carlo simulation results using MCNP5
version 1.4. Neutron flux comparison and neutron activa-
tion techniques are used for measuring neutron flux of the
neutron probe to validate the optimum paraffin moderator
thickness in the assembly. The neutron fluxes are measured
at (1.17 ±0.09) 910
5
and (1.19 ±0.1) 910
5
n/s, being
in agreement with the simulated values. The moderator
assembly can easily be utilized for essential requirements
of neutron flux measurements.
Keywords Am–Be and
252
Cf neutron sources
BF
3
&
3
He detectors Paraffin wax Neutron flux
Monte Carlo simulation
1 Introduction
The Am–Be and
252
Cf neutron sources are widely used
in neutron dosimetry laboratories. The important features
of Am–Be source are its long half-life and emission of fast
neutrons with rather wide energy spectra, while
252
Cf
yields a highly concentrated and reliable neutron spectrum
from a small assembly. The last feature of both sources is
helpful in covering the energy domain of interest for many
applications in ambient and personal dosimetry. Never-
theless, the neutron energy spectrum depends on materials
and dimension of the capsule and on amount and physio-
chemical properties of active material, thus affecting rele-
vant quantities such as spectrum-averaged fluence-to-dose
equivalent conversion coefficient [1–6]. It is important to
know the neutron flux accurately so as to measure different
quantities related to a neutron source [7].
Neutron detection has a key role in the development of
nuclear technology and its applications [8,9]. High-sensi-
tive neutron detectors are required. However, most of the
neutron detectors are also sensitive to gamma rays.
Therefore, an effective technique is required to eliminate
the gamma background for accurate neutron
&Wazir Muhammad
wazirm@hotmail.com
1
Radiation Physics Laboratory, Physics Department,
COMSATS Institute of Information Technology (CIIT),
Islamabad, Pakistan
2
Physics Division, Pakistan Institute of Nuclear Science and
Technology (PINSTECH), Islamabad 45650, Pakistan
3
Department of Physics, College of Science, Majmaah
University, Al-Zulfi, Saudi Arabia
4
School of Physics, University Science Malaysia,
11800 Gelugor, Penang, Malaysia
5
DCIS, Pakistan Institute Engineering and Applied Sciences
(PIEAS), Islamabad 45650, Pakistan
6
Health Physics Division (HPD), Pakistan Institute of Nuclear
Science and Technology (PINSTECH), Islamabad 45650,
Pakistan
123
NUCL SCI TECH (2017) 28:61
DOI 10.1007/s41365-017-0213-z
measurements. Generally, methods used to recognize
neutron interactions within a detector rely on second-order
effects. Two neutron interactions used for a variety of
thermal neutron detectors are the
10
B(n,a)
7
Li [9,10] and
6
Li(n,a)
3
H reactions [11,12]. The aparticles can be easily
detected.
Low atomic number materials, such as high-density
polyethylene (HDPE), which has a high concentration of
hydrogen, tend to have relatively high elastic scattering
cross sections for fast neutrons, and often (n, p) reactions
from fast neutrons interacting in hydrogen-filled materials
are manipulated for fast neutron detection. For detection of
thermal or low-energy neutrons, polymers-based SSNTDs,
i.e. solid-state nuclear track detectors (such as CR-39), can
be used only in combination with a neutron reactive film
which converts neutrons into other detectable radiations,
recoil nuclei [13,14]. Use of a BF
3
or
3
He neutron detector,
one can measure the optimum thickness of the moderator
accurately, which is essential to avoid excessive thermal
neutron absorption in the moderator. The neutron activa-
tion analysis can determine accurately the major and trace
elements in different samples [10–12,15]. In practice,
aromatic hydrocarbons are considered as the most radia-
tion-resistant hydrogenous substances and have properties
to moderate slow neutrons more effectively [16].
A paraffin wax moderator assembly has been developed
to find out optimum thickness of paraffin wax. It can be
utilized for fast neutrons from various neutron-producing
reactions on an accelerator or for measurement of neutron
yield from a Mather-type plasma focus device [17–20]. The
assembly has been utilized to find out neutron flux of a
neutron probe which contains Am–Be as a neutron source
[21]. Neutron flux comparison and neutron activation are
used to the measure neutron flux [22]. A 50-mCi Am–Be
neutron probe is used as a neutron source for the mea-
surement of moisture in soils [21].
The moderating materials should be of large scattering
cross section, small absorption cross section and large
energy loss per collision [23], and paraffin wax is just a
desired moderator. Its optimum thickness was calculated
for 3 MeV neutrons [22] and was experimentally deter-
mined at 7 and 2.5–4.5 cm for Am–Be and
252
Cf neutron
sources, respectively [24,25]. The results were based on
the maximum gamma ray yield due to neutron activation.
The optimum thickness of HDPE moderator was measured
at 4–6 cm for 2.8 MeV neutrons. For theoretical calcula-
tions, different codes such as MNCP, MNCPX and SRIM
are used [26,27]. The present paper is designed to deter-
mine the optimum moderator thickness that is required to
be wrapped around a BF
3
detector used in monitoring fis-
sile material. The experimental results are compared with
MC simulations for Am–Be neutron source using MCNP5
code version 1.40 [28].
2 Materials and methods
2.1 Theoretical calculations
The work of Goshal [22] is referred for theoretical cal-
culations. The slowing down process involves elastic
scattering by light nuclei like hydrogen and carbon in
paraffin wax (q=0.93 g/cm
3
)[5]. The average logarith-
mic decrease in neutron energy per collision is calculated.
The average number of collisions needed to thermalize fast
neutrons is also calculated. The transport, thermal neutron
mean free paths are calculated for paraffin wax, and finally,
the optimum moderator thickness is calculated at 6 cm for
3 MeV neutrons.
2.2 Experimental approach
The paraffin wax moderator assembly consists of two
parts as shown in Fig. 1. The first part consists of a
removable paraffin wax discs, neutron detector and a
neutron source (i.e. Am–Be/
252
Cf neutron sources). The
second part is a mounting frame with two parallel spring-
loaded U12 mm steel rods, each fixed at one end with the
frame. The other two ends are fixed to a movable plastic
ring around a 1.4-cm-thick paraffin wax disc. The purpose
of the plastic ring is to give strength to the paraffin wax
discs. A number of paraffin wax discs are used. Sized at
U27 cm 90.6–1.4 cm, each disc is mounted in a 6-mm-
thick plastic ring. The paraffin wax discs can be assembled
easily on the mounting frame, between two semi-cylin-
drical fixed pipes with the assembly at the same axes, one
for the neutron detector and the other for the neutron
source. The two parallel rods act as a guide for the paraffin
wax discs and keep the discs in close contact with each
other. The U27 cm discs keep the axis same with respect to
the axes of the neutron detector and the neutron source.
Paraffin wax discs can be added or removed for measure-
ment of optimum thickness of paraffin wax, where the
Fig. 1 Sketch of the paraffin wax moderator assembly
61 Page 2 of 6 A. Waheed et al.
123
neutron detector counts is the maximum. Two BF
3
(U100
and 200) and one
3
He (U0.500) neutron detectors are used for
measuring the optimum thickness with Am–Be or
252
Cf
neutron sources. The associated electronics with detector
assembly consisted of pre-amplifier, amplifier, single-
channel analyser and counter/timer manufactured by the
ORTEC.
The background counts per second were measured
without the neutron sources, and they were subtracted from
the actual neutron count rates emitted from neutron sour-
ces. For different paraffin wax thicknesses, counts emitted
from either Am–Be or
252
Cf neutron sources were taken for
100 s by using the BF
3
and one
3
He neutron detectors. For
both the Am–Be and
252
Cf neutron sources, the paraffin
wax thicknesses were increased to find the maximum
counts, and on further increase in thickness, the counts
started decreasing. Here, the maximum counts represent
optimum paraffin wax thickness that is required to ther-
malize fast neutron (of course, the process is the trade-off
between absorption and moderation). To minimize scat-
tering from the walls, the heavy shielding was placed about
4 m away from the source. The scattering contribution at
the detector position was checked with and without the
shielding, with the source at its position. The difference
was negligible, and hence, an evidence of no scattering
contribution from shielding walls was seen. Furthermore,
BF
3
or
3
He detectors can detect only slow or thermal
neutrons and the gases have very low interaction cross
section for fast or scattering neutrons.
The moderator assembly (Fig. 1) was also used for the
measurement of neutron flux emitted from the Am–Be and
252
Cf neutron sources to check the validity of the optimum
thickness of the paraffin wax moderator, using the neutron
flux comparison method and the neutron activation analysis
method [29].
2.2.1 Neutron flux comparison method
The comparison of counting rates was carried out,
between the standard Am–Be neutron source of known flux
(F
1
) and that from the neutron probe of unknown flux (F
2
)
under conditions insensitive to the energy of neutrons. Let
C
1
be the average counts per sec for F
1
recorded by a BF
3
(U100) neutron detector in contact with the 6-cm-thick
paraffin wax moderator and C
2
be the average neutron
counts per sec, with their background subtracted, from the
neutron probe under the same condition. The neutron flux
F
2
from the neutron probe is given by F
2
=F
1
C
2
/C
1
.
2.2.2 Neutron activation analysis method
The paraffin wax moderator assembly was used to
measure the neutron flux of the neutron probe through
activation analysis technique by using silver foil, and the
6 cm optimum thickness of the paraffin wax moderator was
validated.
Thermal neutron activation analysis is the absolute
method to determine the neutron flux of a neutron probe.
The silver isotopes of
108
Ag (T
1/2
=0.39 min) and
110
Ag
(T
1/2
=24.6 s) are produced through nuclear reactions of
107
Ag(n, c)
108
Ag and
109
Ag(n, c)
110
Ag with thermal
neutron. After a few half-lives of
110
Ag, most of the
radioactivity in silver foil is due to
108
Ag [30]. A G.M
counter with Mylar end window is used for the neutron
activation analysis. The silver foil is placed at the Mylar
window. Both the neutron probe and the end window of
G.M detector are placed at the same axis in opposite and in
contact with the paraffin wax moderator (Fig. 2).
The optimum paraffin wax thickness of 6 cm was used
in the moderator assembly. At the termination of activa-
tion, the flux uof the neutron probe (in n/cm
2
/s) is given
by u=[A
0
w(1 -e
-kt
)/(rA
av
am)] e(4p/X)[22], where A
0
is the activity of
108
Ag at t=0, wis the atomic weight of
silver, kis the decay constant, tis the irradiation time,
r=37.6 barns (taken from the ENDF library [31]) is the
thermal neutron capture cross section of
107
Ag, A
av
is the
Avogadro’s number, ais the natural isotopic abundance of
107
Ag, mis the mass in grams of
107
Ag, eis the intrinsic
efficiency of the detector, and Xis the solid angle sub-
tended by the G.M detector at the neutron source (Am–Be)
of the probe.
The intrinsic efficiency of the G.M detector was deter-
mined from a
137
Cs c-ray source of known activity. The
silver foil was activated for 5 min. Although both
108
Ag
and
110
Ag are produced, most of the activity is due to
108
Ag
at the time of counting. The neutron probe was taken far
away from the moderator assembly as quickly as possible,
so the G.M detector background count was made almost
negligible at the time of counting. The activated silver foil
was counted immediately and was repeated several times
for better results. The background of the G.M detector was
measured in advance.
Fig. 2 The G.M detector with the end Mylar window, Ag foil, the
paraffin wax moderator and the neutron probe
Optimization of moderator assembly for neutron flux measurement: experimental and theoretical…Page 3 of 6 61
123
2.3 Monte Carlo simulation
MCNP is an advanced Monte Carlo code for simulation
of the neutron transport [28,32]. It has the ability to model
complex geometry of designed experiment and contains all
necessary cross-section data for neutron, photon and elec-
tron transport calculations [32]. For a neutron detection
process, the history of each starting neutron is followed
between collisions, and its energy deposition is recorded,
throughout its life to its death, until its energy is low
enough to be neglected. In the present study, the experi-
mental set-up was simulated in the School of Physics,
University Science Malaysia, Penang, Malaysia, using the
MCNP5 code version 1.40 [28,32]. The experimental set-
up as described in Fig. 1was modelled. According to this
model, the neutron source was located at one side of the
paraffin wax moderator, while the neutron detector was
simulated facing the source at the other side of the mod-
erator. The experimental set-up was simulated on wooden
table top. To calculate the detector neutron flux, F
2
tally
calculates the flux averaged over a surface [28] was used.
Surface segmentation was utilized to calculate the flux at a
surface segment facing the neutron source.
3 Results and discussion
The measured counts per 100 s for different wax
thicknesses by using the three neutron detectors for the
Am–Be and
252
Cf neutron sources plotted against wax
thickness are shown in Fig. 3. The maximum counts for
each neutron detector and source represent the optimum
paraffin wax thickness that is required to thermalize fast
neutrons. From Fig. 3, the optimum paraffin wax thick-
nesses were 6 and 5.5 cm for Am–Be and
252
Cf neutron
sources, respectively. The yield of thermal neutrons
increases with the thickness of paraffin wax from 1.6 to
6 cm, due to fact that the fast neutrons lose their energy
through elastic collision with hydrogen atoms of paraffin
wax. The yield of thermal neutrons at these thicknesses is
found to be maximum, as a large number of fast neutrons
lose their maximum energy through elastic collisions.
However, on further increase in thickness of the paraffin
wax from 6.5 to 12 cm, the yields of thermal neutron
decrease due to elastic and inelastic scattering reactions.
The neutrons lose their energy through the interactions
until they are captured by paraffin wax (shielding mate-
rial) [23]. Normally, the neutron capture cross section is
larger only for thermal neutron energies, that is why the
neutrons slowing down by scattering are important before
capture [23].
To validate the optimum thickness of paraffin wax, the
neutron flux was calculated. By the neutron flux compar-
ison method, the average neutron counts per second, C
1
,
was 141.3 ±0.66 with the known neutron flux of
F
1
=(8.3 ±0.66) 910
4
n/s. With C
2
=199.1 ±0.79 of
the neutron probe, the F
2
was (1.17 ±0.09) 910
5
n/s. On
the other hand, the neutron flux deduced by the activation
method was (1.19 ±0.1) 910
5
n/s. The two results are
virtually the same, considering the measurement errors.
The neutrons emerging out of paraffin wax are of both
thermal and epithermal in energy. The fluence of epither-
mal neutrons was estimated from Ref. [30]. The ratio of
epithermal to the total neutrons at a distance of 18.9 cm in
air from the neutron source is 5.56% where the total flu-
ence is maximum as calculated from Ref. [33]. Therefore,
this ratio is the same for the paraffin moderator at 6 cm in
thickness.
By using MCNP5, the energy spectra of Am–Be neutron
source at 3, 5 and 8 MeV were produced with the relative
probabilities of 1.000, 0.986 and 0.551, respectively. The
simulation results for the Am–Be source are shown in
Fig. 4, and the counts are maximized at 6 cm thickness of
the paraffin wax moderator, agreeing well with the exper-
imental results.
Fig. 3 The paraffin wax
thickness versus neutron counts,
with different neutron detectors
for Am–Be aand b
252
Cf
neutron probes
61 Page 4 of 6 A. Waheed et al.
123
4 Conclusion
The paraffin wax moderator assembly can be used easily
to thermalize fast neutrons of various energies produced
from neutron-producing reactions on an accelerator. Neu-
tron flux comparison and neutron activation techniques are
used for accurate determination of neutron flux of the
neutron probe to validate the optimum thickness of the
paraffin wax moderator in the assembly. The neutron flux
of (1.17 ±0.09) 910
5
n/s by the neutron flux comparison
method agrees well with the flux of (1.19 ±0.1) 910
5
n/s
by neutron activation analysis method. The techniques can
be utilized for the measurement of neutron yield from
Mather-type plasma focus device. The optimum thickness
of the paraffin wax moderator is 6 cm for Am–Be and
5.5 cm for
252
Cf neutron sources.
Acknowledgements The authors gratefully acknowledge services
provided by Mr. Usman Ali, RPL, CIIT, in the fabrication of
mechanical assembly and safe handling of neutron sources.
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