NUCL 510 Nuclear Reactor Theory I
Midterm Exam I
September 25, 2012
Name:
1. The angular flux at a position r is given by () = 0 + 1 z , where 0 and 1 are
constants and z is the z-directional component of the direction vector . Compute the
following quant

NUCL 510 Nuclear Reactor Theory I
Midterm Exam II
November 13, 2012
Name:
1. The scattering cross section of H-1 is isotropic in the center of mass system (CMS), and the
scattering angle ( c ) in the center of mass system (CMS) and that ( s ) in the labor

NUCL 510 Nuclear Reactor Theory I
Homework #2
Due September 6
1. A beam of 0.025eV neutrons, which has a cross-sectional area of 0.01 cm2 strikes a thin 6Li
target, inducing the exothermic reaction 6 Li(n, )3 H . The beam intensity is 51015
neutrons/cm2se

NUCL 510 Nuclear Reactor Theory I
Homework #11
Due December 6
1. Homework problem #8 of Ch. 5
For widely spaced absorber elements in a heterogeneous system, the resonance integral has
been shown to approximate the following geometric dependency:
I = a+b S

NUCL 510 Nuclear Reactor Theory I
Homework #10
Due November 29
1. Homework problem #1 of Ch. 5 (15 points)
a. Derive the energy-dependence of c ( E ) and f ( E ) for small E (limit E 0) from
the Breit-Wigner formula for the lowest s-wave resonance. Note,

NUCL 510 Nuclear Reactor Theory I
Homework #9
Due November 7
1. Homework problem #4 of Ch. 4 (10 points)
How many elastic scattering events are required to slow a neutron down from 2.0 MeV to
0.025 eV at room temperature in graphite and in hydrogen if s-w

NUCL 510 Nuclear Reactor Theory I
Homework #8
Due November 1
Two-Body Kinematics
Consider a nuclear interaction of an incident particle of rest mass m , kinetic energy E , and
momentum p with a stationary target of rest mass M . Products are one particle

NUCL 510 Nuclear Reactor Theory I
Homework #7
Due October 18
1. Homework problem #2 of Ch. 3
Consider a H2O slab that is four diffusion lengths thick with a uniform infinite plane neutron
source S neutrons/cm2s located at one diffusion length from one sid

NUCL 510 Nuclear Reactor Theory I
Homework #6
Due October 11
1. Under the assumption of no up-scattering and 1 = 1 , the 2-group diffusion equation in a
one-region slab reactor can be written as:
d2
1
D1 2 1 ( x) + r11 ( x) = [ f 11 ( x) + f 22 ( x)]
dx

NUCL 510 Nuclear Reactor Theory I
Homework #5
Due October 4
1. By applying the separation of energy and spatial variables to the energy-dependent diffusion
equation, the following balance equations are obtained:
2 (r ) + B 2 (r ) = 0
0
0
[ D ( E ) B 2 +

NUCL 510 Nuclear Reactor Theory I
Homework #4
Due September 20
1. The differential elastic scattering cross section of 4He in the center of mass system at a
certain energy given by
s ( c ) =
s
(1 + cos c )
4
(1) Find the elastic cross section at this ene

NUCL 510 Nuclear Reactor Theory I
Homework #3
Due September 13
1. Neutrons are produced uniformly and isotropically throughout a spherical chamber
containing a mixture of 3H and 2H gases at high temperature (~108 K) and low density by
the 3H(d,n)4He and 2