J. Phys. Chem. 1987, 91,6055-6060
6055
is an azimuthal angle of the scattering vector (711
Ill - I , =
K4(m- 1)2Zo 47rr2
-T
~
=) const X x Z r x u R 2 ( 8 , 4cos ) 2a sin) j3 dj3 d a = const X xZrJrcos
2 a sin3 j3 dj3 d a -
P(j3,a) (cos 2a sinZ j3) = &2r&r;
HZ,-,R2(j3,a) (cos 2 a sin2 j3) (A6) For a circular cylinder of length L and diameter D, R(j3,a) is given by
711
KZLZ 3
- 71 = -(-A
-B
cos 2a sin3 j3 dj3 d a
+ 2C)
with
R(j3,a) = F(KD sin j3/2 sin y) E(KL sin j3/2 cos y) where a) cos 2a sin3 j3 dj3 d a =
E(#) = Jo(u) = sin u / u
27r 15
- sin2 0 cos 24
and B = C = 0 . 71, - 71 = KZL227r sin2 8 cos2 4 -5.51 sin2 0 cos 24 (AS) 3 15 Similarly one obtains 47r7i, 105.28 - 57.73(L/X)’ (‘49) For the ratio between A8 and A9 one has
-
with Ji the corresponding Bessel functions and K = 27r/h and cos y = sin 8 cos j3/2 cos($ - a ) -sin j3/2 cos 8. When KD
