Paper
EFFECT OF WALL THICKNESS ON MEASUREMENT OF DOSE
FOR HIGH ENERGY NEUTRONS
Delia Perez-Nunez and Leslie A. Braby*
Abstract—Neutrons produced from the interaction between
galactic cosmic rays and spacecraft materials are responsible
for a very important portion of the dose received by astro-
nauts. The neutron energy spectrum depends on the incident
charged particle spectrum and the scattering environment but
generally extends to beyond 100 MeV. Tissue-equivalent pro-
portional counters (TEPC) are used to measure the dose
during the space mission, but their weight and size are very
important factors for their design and construction. To achieve
ideal neutron dosimetry, the wall thickness should be at least
the range of a proton having the maximum energy of the
neutrons to be monitored. This proton range is 0.1 cm for 10
MeV neutrons and 7.6 cm for 100 MeV neutrons. A 7.6 cm wall
thickness TEPC would provide charged particle equilibrium
(CPE) for neutrons up to 100 MeV, but for space applications
it would not be reasonable in terms of weight and size. In order
to estimate the errors in measured dose due to absence of CPE,
MCNPX simulations of energy deposited by 10 MeV and 100
MeV neutrons in sites with wall thickness between 0.1 cm and
8.5 cm were performed. The results for 100 MeV neutrons
show that energy deposition per incident neutron approaches a
plateau as the wall thickness approaches 7.6 cm. For the 10
MeV neutrons, energy deposition per incident neutron de-
creases as the wall thickness increases above 0.1 cm due to
attenuation.
Health Phys. 98(1):37– 41; 2010
Key words: dose, absorbed; dosimetry; Monte Carlo; neutrons
INTRODUCTION
THE DESIGN of a TEPC for dosimetry of indirectly ionizing
radiation, such as neutrons, as well as the high energy
charged particles found in space is complicated. The
design is influenced by detector size and weight as well
as the desirability of secondary particle equilibrium in
the detector wall. When secondary particle equilibrium
cannot be achieved, it is important to have an understand-
ing of the magnitude of the errors that are introduced.
Evaluation of the error caused by a thin wall requires data
on the energy deposited in the cavity as a function of wall
thickness. These data were obtained through Monte Carlo
simulations of energy imparted by recoil particles in a
fixed-size gas volume surrounded by walls of different
thickness and atomic composition. The accuracy of such
estimates is limited by the accuracy of the available neutron
cross section data and the methods for following recoil
protons, but is adequate for guiding the detector design.
In order to achieve ideal neutron dosimetry, it is
important to achieve an optimal wall thickness. The main
consideration is to satisfy the secondary charged particle
equilibrium (CPE) condition to make dose equal to
kerma. The objective is for the dose in the wall to
represent dose at a point in an infinite uniform medium
like the human body. In order to comply with the CPE
condition, the wall thickness should be at least as thick as
the range of a proton having the maximum energy of the
neutrons to be monitored. However, thick walls will also
attenuate low energy neutrons, resulting in an underesti-
mate of their contribution to the total dose. Monte Carlo
calculations were used to evaluate energy deposition per
incident neutron in simulated low pressure propane-filled
proportional counters as a function of the wall thickness.
MONTE CARLO SIMULATION
MCNPX version 2.4.0 by Los Alamos National
Laboratory was used for the simulations. The program
was set up to calculate the track length estimate of energy
deposition in a 0.9 cm radius sphere filled with propane
with density of 2.59 10
-5
g cm
-3
, corresponding to a
pressure of 10 torr, and resulting in a simulated site
diameter of 0.47 m in unit density tissue. The simula-
tions were conducted for a monoenergetic and monodi-
rectional 12 cm diameter plane disk neutron source
located 50 cm from the center of the propane sphere.
For the 100 MeV neutrons, the mean free path in
tissue-equivalent material is more than 10 cm (Zaider
and Rossi 2001), significantly more than the simulated
detector wall thicknesses. Thus any problem stemming
* Department of Nuclear Engineering, Texas A&M University,
3133 TAMU, College Station, TX 77843-3133.
For correspondence contact Delia Perez-Nunez at the above
address or email at deperez@tamu.edu.
(Manuscript accepted 22 July 2009)
0017-9078/10/0
Copyright © 2009 Health Physics Society
DOI: 10.1097/HP.0b013e3181b8d032
37