An Introduction to Neutron Scattering - Spallation Neutron Source

Porod Scattering
function.
n
correlatio
for the
form
(Debye)
h this
factor wit
form
the
evaluate
to
and
r
small
at
V)]
A/(2
a
[with
..
br
ar
-
1
G(r)
expand
to
is
it
obtain
y to
Another wa
smooth.
is
surface
particle
the
provided
shape
particle
any
for
Q
as
holds
and
law
s
Porod'
is
This
surface.
s
sphere'
the
of
area
the
is
A
where
2
)
(
2
9
Thus
)
resolution
by
out
smeared
be
will
ns
oscillatio
(the
average
on
2
/
9
Q
as
cos
9
cos
sin
9
)
(
)
(
cos
.
sin
9
radius)
sphere
the
is
R
where
1/R
Q
(i.e.
particle
spherical
a
for
Q
of
values
large
at
)
(
F(Q)
of
behavior
the
examine
us
Let
2
4
4
2
2
2
2
2
2
2
4
2
3
2
4
2
4
2
π
π
=
+
+
=
∞
→
=
→
=
∞
→
→
⎥
⎦
⎤
⎢
⎣
⎡
−
=
⎥
⎦
⎤
⎢
⎣
⎡ −
=
>>
Q
A
QR
V
F(Q)
V
QR
V
QR
QR
QR
V
QR
QR
QR
QR
QR
V
(QR)
F(Q)
QR