We investigate multiple reaction–diffusion processes that engender the formation of distinct precipitation zones. In this paper, we carry out various original precipitation reactions in a gel medium, wherein the interdiffusion of the co-precipitates occurs from various sources arranged in a symmetric framework in 2D Petri dishes. The distinct precipitation zones are separated by clear polygonal boundaries, in congruence with the spatial distribution of the diffusion holes hosting the outer electrolyte. We use scanning electron microscopy, energy dispersive x-ray diffraction spectrometry, and notably powder x-ray diffraction for the characterization of the differentiated precipitate patterning zones for each system studied. The obtained patterns find their application niche in the chemical analogs of Voronoi diagrams and the rift scenery in geological landscapes.

1.
Precipitation Patterns in Reaction-Diffusion Systems, edited by I. Lagzi (Research Signpost Publications, Trivandrum, 2011).
2.
H. K.
Henisch
,
Crystals in Gels and Liesegang Rings
(
Cambridge University Press
,
Cambridge
,
1988
).
3.
R. E.
Liesegang
,
Lieseg. Photogr. Arch.
37
,
305
(
1896
).
4.
R. E.
Liesegang
,
Lieseg. Photogr. Arch.
37
,
331
(
1896
).
5.
I.
Das
,
A.
Pushkarna
, and
A.
Bhattacharjee
,
J. Phys. Chem.
95
,
3866
(
1991
).
6.
Z.
Shreif
,
L.
Mandalian
,
A.
Abi-Haydar
, and
R.
Sultan
,
Phys. Chem. Chem. Phys.
6
,
3461
(
2004
).
7.
L.
Badr
,
A.
Hariri
,
Z.
Moussa
, and
R.
Sultan
,
Phys. Rev. E
83
,
016109
(
2011
).
8.
E.
Nakouzi
and
O.
Steinbock
,
Sci. Adv.
2
,
e1601144
(
2016
).
9.
H.
Nabika
,
M.
Itatani
, and
I.
Lagzi
,
Langmuir
36
,
481
(
2020
).
10.
S.
Sadek
and
R.
Sultan
, in Precipitation Patterns in Reaction-Diffusion Systems, edited by I. Lagzi (Research SignPost Publications, Kerala, 2011), Chap. 1, pp. 1–43.
11.
S.
Kai
,
S. C.
Müller
, and
J.
Ross
,
Science
216
,
635
(
1982
).
12.
D. S.
Chernavskii
,
A. A.
Polezhaev
, and
S. C.
Müller
,
Physica D
54
,
160
(
1991
).
13.
S. C.
Müller
and
A. A.
Polezhaev
,
Chaos
4
,
631
(
1994
).
14.
Th.
Shibi
,
I.
Lagzi
,
F.
Molnár Jr.
, and
Z.
Rácz
,
Phys. Rev. Lett.
110
,
078303
(
2013
).
15.
F. E.
Lloyd
and
V.
Ḿoravek
,
Plant Physiol.
3
,
101
(
1928
).
16.
H. J.
Krug
,
H.
Brandstädter
, and
K. H.
Jacob
,
Geol. Rundsch.
85
,
19
(
1996
).
17.
H. J.
Krug
and
H.
Brandtstädter
,
J. Phys. Chem. A
103
,
7811
(
1999
).
18.
Sh.
Panjarian
and
R.
Sultan
,
Collect. Czech. Chem. Commun.
66
,
541
(
2001
).
19.
L.
Mandalian
,
M.
Fahs
,
M.
Al-Ghoul
, and
R.
Sultan
,
J. Phys. Chem. B
108
,
1507
(
2004
).
20.
M.
Dayeh
,
M.
Ammar
, and
M.
Al-Ghoul
,
RSC Adv.
4
,
60034
(
2014
).
21.
R. E.
Liesegang
,
Kolloid Z.
87
,
57
(
1939
).
22.
A.
Volford
,
F.
Izsák
,
M.
Ripszám
, and
I.
Lagzi
,
Langmuir
23
,
961
(
2007
).
23.
M. M.
Ayass
,
I.
Lagzi
, and
M.
Al-Ghoul
,
Phys. Chem. Chem. Phys.
16
,
24656
(
2014
).
24.
P.
Hantz
,
J. Phys. Chem. B
104
,
4266
(
2000
).
25.
A.
Toramaru
and
A.
Iochi
,
Kobutsugaku Zasshi
26
,
103
(
1997
).
26.
L.
Mandalian
and
R.
Sultan
,
Collect. Czech. Chem. Commun.
67
,
1729
(
2002
).
27.
M.
Flicker
and
J.
Ross
,
J. Chem. Phys.
60
,
3458
(
1974
).
28.
R.
Feeney
,
S. L.
Schmidt
,
P.
Strickholm
,
J.
Chadam
, and
P.
Ortoleva
,
J. Chem. Phys.
78
,
1293
(
1983
).
29.
C. K.
Jablczynski
,
Bull. Soc. Chim. Fr.
11
,
1592
(
1923
).
30.
B. A.
Grzybowski
,
Chemistry in Motion: Reaction–Diffusion Systems for Micro- and Nanotechnology
(
John Wiley and Sons
,
Chichester
,
2009
).
31.
K. J.
Bishop
,
T. P.
Gray
,
M.
Fialkowski
, and
B. A.
Grzybowski
,
Chaos
16
,
037102
(
2006
).
32.
S. K.
Smoukov
,
K. J. M.
Bishop
,
C. J.
Campbell
, and
B. A.
Grzybowski
,
Adv. Mater.
17
,
751
(
2005
).
33.
R.
Klein
,
Concrete and Abstract Voronoi Diagrams
(
Springer-Verlag
,
Berlin
,
1990
).
34.
A.
Okabe
,
B.
Boots
,
K.
Sugihara
, and
S. N.
Chiu
,
Spatial Tesselations: Concepts and Applications of Voronoi Diagrams
(
Wiley
,
New York
,
2000
).
35.
P. J.
Green
and
R.
Sibson
,
Comput. J.
21
,
168
(
1978
).
36.
B.
De Lacy Costello
,
Parallel Process. Lett.
25
(
1
),
1540003
(
2015
).
37.
H.
Hayashi
and
H.
Abe
,
Bull. Chem. Soc. Jpn.
90
,
807
(
2017
).
38.
Ch.
Pan
,
Q.
Gao
,
J.
Xie
,
Y.
Xiac
, and
I. R.
Epstein
,
Phys. Chem. Chem. Phys.
11
,
11033
(
2009
).
39.
M.
Vysinka
,
M.
Mizusawa
, and
K.
Sakurai
, in Proceedings of the WDS’11 Conference Part III (Matfyzpress, 2011), pp. 147–154.
40.
D.
Ezzeddine
and
R.
Sultan
, in
12th Chaotic Modeling and Simulation International Conference. CHAOS 2019. Springer Proceedings in Complexity
, edited by C. Skiadas and Y. Dimotikalis (Springer, Cham, 2020).
41.
H.
Batlouni
,
H.
El-Rassy
, and
M.
Al-Ghoul
,
J. Phys. Chem. A
112
,
7755
(
2008
).
42.
Z.
Liu
,
R.
Ma
,
M.
Osada
,
K.
Takada
, and
T.
Sasaki
,
J. Am. Chem. Soc.
127
,
13869
(
2005
).
43.
L.
Tao
,
M.
Li
,
Sh.
Wu
,
Q.
Wang
,
X.
Xiao
,
Q.
Li
,
M.
Wang
,
Y.
Fu
, and
Y.
Shen
,
Catal. Sci. Technol.
8
,
4151
(
2018
).
44.
J. T.
Sampanthar
and
H.-Ch.
Zeng
,
J. Am. Chem. Soc.
124
,
6668
(
2002
).
45.
J.
Rahbani
,
N. M.
Khashab
,
D.
Patra
, and
M.
Al-Ghoul
,
J. Mater. Chem.
22
,
16361
(
2012
).
46.
Y.
Du
,
K. M.
Ok
, and
D.
O’Hare
,
J. Mater. Chem.
18
,
4450
(
2008
).
47.
B.
De Lacy Costello
,
N.
Ratcliffe
,
A.
Adamatzky
,
A. L.
Zanin
,
A. W.
Liehr
, and
H.-G.
Purwins
,
Int. J. Bifurcation Chaos
14
(
07
),
2187
(
2004
).
48.
T.
Karam
,
H.
El-Rassy
,
F.
Zaknoun
,
Z.
Moussa
, and
R.
Sultan
,
Chem. Phys. Lett.
525-526
,
54
(
2012
).
49.
H.
Ibrahim
,
D.
Ezzeddine
, and
R.
Sultan
,
Chem. Phys. Lett.
755
,
137742
(
2020
).
50.
A.
Volford
,
F.
Izsák
,
M.
Ripszám
, and
I.
Lagzi
,
J. Phys. Chem. B
110
,
4535
(
2006
).
52.
53.
C.
Doglioni
,
E.
Carminati
, and
E.
Bonatti
,
Tectonics
22
,
1024
(
2003
).
54.
S.
Schneider
,
J.
Hornung
,
M.
Hinderer
, and
E.
Garzanti
,
Sediment. Geol.
336
,
106
(
2016
).
55.
A.
Radwan
and
S.
Sen
,
Nat. Resour. Res.
30
,
463
(
2021
).
56.
U. N.
Water
,
Water and Climate Change
(
Paris
,
2020
).
57.
M. P. A.
Jackson
and
B. C.
Vendeville
,
GSA Bull.
106
,
57
(
1994
).
58.
R. E.
Liesegang
,
Geologische Diffusionen
(
Steinkopf
,
Dresden
,
1913
).
59.
R. E.
Liesegang
,
Die Achate
(
Steinkopf
,
Dresden-Leipsig
,
1915
).
60.
L.
Gálfi
and
Z.
Rácz
,
Phys. Rev. A
38
(
6
),
3151
(
1988
).
61.
H.
Taitelbaum
,
Sh.
Havlin
,
J. E.
Kiefer
,
B.
Trus
, and
G. H.
Weiss
,
J. Stat. Phys.
65
(
5-6
),
873
(
1991
).
62.
Y.-E.
Lee Koo
and
R.
Kopelman
,
J. Stat. Phys.
65
(
5/6
),
893
(
1991
).
63.
M.
Pribyl
,
D.
Snita
, and
M.
Marek
,
Chem. Eng. J.
105
,
99
(
2005
).
64.
R.
Makki
,
M.
Al-Ghoul
, and
R.
Sultan
,
J. Phys. Chem. A
113
(
21
),
6049
(
2009
).
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