Spin-echo small angle neutron scattering (SESANS) provides a new experimental tool for structural investigation. Due to the action of spin-echo encoding, SESANS measures a spatial correlation function in real space, as opposed to the structure factor S(Q), I(Q), in momentum (Q) space measured by conventional small angle neutron scattering. To establish the usefulness of SESANS in structural characterization, particularly for interacting colloidal suspensions, we have previously conducted a theoretical study of the SESANS correlation functions for model systems consisting of particles with uniform density profiles [X. Li, C.-Y. Shew, Y. Liu, R. Pynn, E. Liu, K. W. Herwig, G. S. Smith, J. L. Robertson, and W.-R. Chen J. Chem. Phys.132, 174509 (2010)]. Within the same framework, we explore in the present paper the prospect of using SESANS to investigate the structural characteristics of colloidal systems consisting of particles with nonuniform intraparticle mass distribution. As an example, a Gaussian model of interacting soft colloids is used to investigate the manifestation of structural softness in a SESANS measurement. The exploration shows a characteristically different SESANS correlation function for interacting soft colloids, in comparison to that of a uniform hard sphere system. The difference arises from the Abel transform imbedded in the mathematical formalism bridging the SESANS spectra and the spatial autocorrelation function.

1.
T. A.
Witten
and
P. A.
Pincus
,
Structured Fluids: Polymers, Colloids, Surfactants
(
Oxford University Press
,
Oxford
,
2004
).
2.
R. A.
Jones
,
Soft Condensed Matter
(
Oxford University Press
,
Oxford
,
2002
).
3.
For example, see
D.
Astruc
,
E.
Boisselier
, and
C.
Ornelas
,
Chem. Rev.
110
,
1857
(
2010
), and references therein.
4.
Carrier-Based Drug Delivery
, edited by
S.
Svenson
(
American Chemical Society
,
Washington, DC
,
2004
).
5.
M.
Ballauff
and
C. N.
Likos
,
Angew. Chem., Int. Ed.
43
,
2998
(
2004
).
6.
7.
G. S.
Great
,
L. J.
Fetters
,
J. S.
Huang
, and
D.
Richter
, in
Polymeric Systems
,
Advances in Chemical Physics
, edited by
I.
Prigogine
and
S. A.
Rice
(
Wiley
,
New York
,
1996
), Vol.
XCIV
, pp.
67
163
.
8.
R.
Pynn
,
J. Phys. E: J. Sci. Instrum.
11
,
1133
(
1978
).
9.
F.
Mezei
,
Proceedings of International Symposium on Neutron Scattering
,
IAEA
,
Vienna
(IAEA-SM-219/56),
1977
.
10.
R.
Pynn
,
Neutron Physics and Scattering
,
Department of Physics, Indiana University
. See http://www.indiana.edu/~neutron/ (
2010
).
11.
12.
R. A.
Andersson
,
L. F.
van Heijkamp
,
I. M.
de Schepper
, and
W. G.
Bouwman
,
J. Appl. Crystallogr.
41
,
868
(
2008
), and reference therein.
13.
14.
A. L.
Fetter
, in
Critical Phenomena, Lecture Notes in Physics
, edited by
F. J. W.
Hahne
(
Springer-Verlag
,
Berlin
,
1983
), Vol
186
, pp.
302
353
.
15.
P.
Debye
and
A. M.
Bueche
,
J. Appl. Phys.
20
,
518
(
1949
).
16.
P.
Pusey
, in
Neutron, X-rays and Light: Scattering Methods Applied to Soft Condensed Matter
, edited by
P.
Linder
&
Th.
Zemb
(
North-Holland
,
Amsterdam
,
2002
), pp.
3
21
.
17.
R.
Bracewell
,
The Fourier Transform and Its Applications
, 3rd ed. (
McGraw-Hill Science/Engineering/Math
,
New York
,
1999
).
18.
M. T.
Rekveldt
,
Nucl. Instrum. Methods Phys. Res. A
114
,
366
(
1996
).
19.
O.
Glatter
, in
Neutron, X-rays and Light: Scattering Methods Applied to Soft Condensed Matter
, edited by
P.
Linder
and
Th.
Zemb
(
North-Holland
,
Amsterdam
,
2002
), pp.
73
102
.
20.
T.
Krouglov
,
W. G.
Bouwman
,
J.
Plomp
,
M. T.
Rekveldt
,
G. J.
Vroege
,
A. V.
Petukhov
, and
D. M.E.
Thies-Weesie
,
J. Appl. Crystallogr.
36
,
1417
(
2003
).
21.
R. H.
Trompa
and
W. G.
Bouwman
,
Food Hydrocolloids
21
,
154
(
2007
).
22.
A.
Bota
,
F. P.
Duvala
, and
W. G.
Bouwman
,
Food Hydrocolloids
21
,
844
(
2007
).
23.
R.
Andersson
,
W. G.
Bouwman
,
S.
Luding
, and
I. M.
de Schepper
,
Granular Matter
10
,
407
(
2008
).
24.
X.
Li
,
C.-Y.
Shew
,
Y.
Liu
,
R.
Pynn
,
E.
Liu
,
K. W.
Herwig
,
G. S.
Smith
,
J. L.
Robertson
, and
W.-R.
Chen
,
J. Chem. Phys.
132
,
174509
(
2010
).
25.
P.
Pusey
, in
Liquids, Freezing and Glass Transition
,
Les Houches 1989 Session LI
, edited by
J.-P.
Hansen
,
D.
Levesque
, and
J.
Zinn-Justin
(
North-Holland
,
Amsterdam
,
1989
), pp.
767
942
.
26.
Y.
Liu
,
W.-R.
Chen
, and
S.-H.
Chen
,
J. Chem. Phys.
122
,
044507
(
2005
).
27.
J.-P.
Hansen
and
I. R.
McDonald
,
Theory of Simple Liquids
, 3rd ed. (
Elsevier
,
Amsterdam
,
2006
).
28.
R.
Klein
, in
Neutron, X-rays and Light: Scattering Methods Applied to Soft Condensed Matter
, edited by
P.
Linder
and
Th.
Zemb
(
North-Holland
,
Amsterdam
,
2002
), pp.
351
379
.
29.
C. N.
Likos
,
S.
Rosenfeldt
,
N.
Dingenouts
,
M.
Ballauff
,
P.
Lindner
,
N.
Werner
, and
F.
Vögtle
,
J. Chem. Phys.
117
,
1869
(
2002
).
30.
O.
Spalla
, in
Neutron, X-rays and Light: Scattering Methods Applied to Soft Condensed Matter
, edited by
P.
Linder
and
Th.
Zemb
(
North-Holland
,
Amsterdam
,
2002
), pp.
49
71
.
31.
L.
Belloni
,
J. Phys.: Condens. Matter
12
,
R549
(
2000
).
32.
L.
Belloni
, in
Neutron, X-rays and Light: Scattering: Introduction to an Investigation Tool for Colloidal and Polymeric Systems
, edited by
P.
Linder
and
Th.
Zemb
(
North-Holland
,
Amsterdam
,
1991
), pp.
135
155
.
33.
T.
Kurglov
,
J. Appl. Crystallogr.
38
,
716
(
2005
).
34.
D.
Chandler
and
H. C.
Anderson
,
J. Chem. Phys.
57
,
1930
(
1972
).
35.
M.
Kotlarchyk
and
S.-H.
Chen
,
J. Chem. Phys.
79
,
2461
(
1983
).
36.
K. S.
Schweizer
and
J. G.
Curro
,
Adv. Polym. Sci.
116
,
319
(
1994
).
37.
O.
Glatter
,
Acta Phys. Austriaca
52
,
243
(
1980
).
38.
T.
Kruglov
,
Spin-echo Small-Angle Neutron Scattering Applied to Colloidal Systems
(
IOS Press
,
Delft
,
2005
).
39.
A.
Guinier
and
G.
Fournet
,
Small-Angle Scattering of X-Rays
(
Wiley
,
New York
,
1955
).
40.
Treatise on Materials Science and Technology: Neutron Scattering
, edited by
G.
Kostorz
(
Academic
,
New York
,
1979
), Vol.
15
.
41.
Small-Angle X-Ray Scattering
, edited by
O.
Glatter
and
O.
Kratky
(
Academic
,
London
,
1982
).
42.
S.-H.
Chen
,
Annu. Rev. Phys. Chem.
37
,
351
(
1986
).
43.
L. A.
Feigin
and
D. I.
Svergun
,
Structure Analysis by Small-Angle X-Ray and Neutron Scattering
(
Plenum
,
New York
,
1987
).
44.
Neutron, X-rays and Light: Scattering: Introduction to an Investigation Tool for Colloidal and Polymeric Systems
, edited by
P.
Linder
and
Th.
Zemb
(
North-Holland
,
Amsterdam
,
1991
).
45.
Modern Aspects of Small-Angle Scattering
, edited by
H.
Brumberger
(
Kluwer
,
Dordrecht
,
1995
).
46.
Neutron, X-rays and Light: Scattering Methods Applied to Soft Condensed Matter
, edited by
P.
Linder
and
Th.
Zemb
(
North-Holland
,
Amsterdam
,
2002
).
47.
M.
Laurati
,
J.
Stellbrink
,
R.
Lund
,
L.
Willner
,
E.
Zaccarelli
, and
D.
Richter
,
Phys. Rev. E
76
,
041503
(
2007
).
48.
J.
Gapinski
,
A.
Wilk
,
A.
Patkowski
,
W.
Häußler
,
A. J.
Banchio
,
R.
Pecora
, and
G.
Nägele
,
J. Chem. Phys.
123
,
054708
(
2005
).
49.
J. S.
Pedersen
, in
Neutron, X-rays and Light: Scattering Methods Applied to Soft Condensed Matter
, edited by
P.
Linder
and
Th.
Zemb
(
North-Holland
,
Amsterdam
,
2002
), pp.
391
420
.
50.
R. H.
Ottewill
, in
Structure and Dynamics of Polymer and Colloidal Systems
, edited by
R.
Borsali
and
R.
Pecora
(
Kluwer
,
Dordrecht
,
1999
), pp.
21
46
.
51.
For example, see
H. T.
Jung
,
B.
Coldren
,
J. A.
Zasadzinski
,
D. J.
Iampietro
, and
E. W.
Kaler
,
Proc. Natl. Acad. Sci. U.S.A.
98
,
1353
(
2001
).
52.
Chwen-Yang
Shew
and
Wei-Ren
Chen
, “
Structural sensitivity of SESANS for high-density hard sphere liquids
” (unpublished).
53.
C. N.
Likos
,
H.
Löwen
,
M.
Watzlawek
,
B.
Abbas
,
O.
Jucknischke
,
J.
Allgaier
, and
D.
Richter
,
Phys. Rev. Lett.
80
,
4450
(
1998
).
54.
T.
Hashimoto
,
A.
Todo
,
H.
Itoi
, and
H.
Kawai
,
Macromolecules
10
,
377
(
1977
).
55.
M.
Gradzielski
,
D.
Langevin
,
L.
Magid
, and
R.
Strey
,
J. Phys. Chem.
99
,
13232
(
1995
).
56.
Y. C.
Liu
,
S.-H.
Chen
, and
J. S.
Huang
,
Macromolecules
31
,
2236
(
1998
).
57.
J. S.
Pedersen
,
J. Chem. Phys.
114
,
2839
(
2001
).
58.
S.
Rathgeber
,
M.
Monkenbusch
,
M.
Kreitschmann
,
V.
Urban
, and
A.
Brulet
,
J. Chem. Phys.
117
,
4047
(
2002
).
59.
W. D.
Dozier
,
J. S.
Huang
, and
L. J.
Fetters
,
Macromolecules
24
,
2810
(
1991
).
60.
L.
Willner
,
O.
Jucknischke
,
D.
Richter
,
B.
Farago
,
L. J.
Fetters
, and
J. S.
Haung
,
Europhys. Lett.
19
,
297
(
1992
).
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