Journal of Crystallization Process and Technology, 2013, 3, 136-147
http://dx.doi.org/10.4236/jcpt.2013.34022 Published Online October 2013 (http://www.scirp.org/journal/jcpt)
Copyright © 2013 SciRes. JCPT
Crystallization in the Three-Component Systems
Rb2SO4-MSO4-H2O (M = Mg, Co, Ni, Cu, Zn) at 298 K
Veronika Karadjova1, Donka Stoilova2*
1Department of Inorganic Chemistry, University of Chemical Technology and Metallurgy, Sofia, Bulgaria; 2Institute of General and
Inorganic Chemistry, Bulgarian Academy of Sciences, Sofia, Bulgaria.
Email: *stoilova@svr.igic.bas.bg
Received June 28th, 2013; revised July 28th, 2013; accepted August 4th, 2013
Copyright © 2013 Veronika Karadjova, Donka Stoilova. This is an open access article distributed under the Creative Commons At-
tribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is prop-
erly cited.
ABSTRACT
The crystallization in the three-component systems Rb2SO4-MSO4-H2O (M = Mg, Co, Ni, Cu, Zn) is studied by the
method of isothermal decrease of supersaturation. It has been established that isostructural double compounds,
Rb2M(SO4)2·6H2O (M = Mg, Co, Ni, Cu, Zn),
5
12
SG 2h
PcC , crystallize from the ternary solutions within wide
concentration ranges. The infrared spectra are discussed with respect to the normal vibrations of the sulfate ions and
water molecules. The unit-cell group theoretical treatment of the double salts is presented. The extent of energetic dis-
tortions of 2
4
SO guest ions (about 2 mol%) matrix-isolated in the respective selenates,

242
2
MM SeO6HO
 (M' =
K, Rb, 4
NH; M" = Mg, Co, Ni, Cu, Zn), is commented.
Keywords: Rb2Me(SO4)2·6H2O (Me = Mg, Co, Ni, Cu, Zn); Solubility Diagrams; X-Ray Powder Diffraction; Infrared
Spectra; Matrix Infrared Spectroscopy
1. Introduction
The rubidium double sulfates belong to a large number of
isomorphous compounds with a general formula

242
2
MM XO6HO
 (M' = K, Rb, 4
NH, Cs; M'' =
Mg, Mn, Co, Ni, Cu, Zn; X = S, Se) known as Tutton
salts. They crystallize in the monoclinic space group

5
12
2h
PcC with two formula units in the unit-cell. The
crystal structures are built up from isolated octahedra,
[M''(H2O)6], (three crystallographically different water
molecules are coordinated to the M'' ions) and tetrahedra
XO4. The polyhedra are linked by hydrogen bonds. All
atoms, except the divalent metal ions, which lie at centre
of inversion Ci, are located at general positions C1. Re-
cently, the crystal structures of some rubidium Tutton
sulfates have been reported in Refs. [1,2]. As an example
the crystal structures of Rb2Co(SO4)2·6H2O is presented
in Figure 1.
In this paper we present the results on the study of the
solubility in the three-component systems
Rb2SO4-MSO4-H2O (M = Mg, Co, Ni, Cu, Zn) at 298 K.
The double Tutton compounds Rb2M(SO4)2·6H2O are
characterized by means of both the infrared spectroscopy
and the X-ray powder diffraction methods. The vibra-
tional behavior of 2
4
SO
guest ions matrix-isolated in
Tutton selenates,
242
2
MM SeO6HO
 (M' = K, Rb,
4
NH
; M'' = Mg, Co, Ni, Cu, Zn), is analyzed. A practi-
cal point of studying is that the Tutton compounds could
be considered as proton conductors due to the existence
of comparatively strong hydrogen bonds determined by
the strong proton acceptor capabilities of the sulfate ions.
2. Experimental
Rb2SO4 was prepared by neutralization of Rb2CO3 with
dilute sulfuric acid solutions at 333 - 343 K. Then the
solutions were filtered, concentrated at 323 - 333 K, and
cooled to room temperature. The crystals were filtered,
washed with alcohol and dried in air. The sulfates of di-
valent metals were commercial products. All reagents
used were of reagent grade quality (Merck). The solubil-
ity in the three-component systems Rb2SO4-MSO4-H2O
(M = Mg, Co, Ni, Cu, Zn) at 298 K was studied using the
method of isothermal decrease of supersaturation. Solu-
tions containing different amount of the salt compounds
corresponding to each point of the solubility diagrams
Crystallization in the Three-Component Systems Rb2SO4-MSO4-H2O (M = Mg, Co, Ni, Cu, Zn) at 298 K
Copyright © 2013 SciRes. JCPT
137
Figure 1. Crystal structure of Rb2Co(SO4)2·6H2O (structural data from [1]).
were heated at about 333 - 343 K and cooled to room
temperature. Then the saturated solutions were vigor-
ously stirred [3,4]. The equilibrium between the liquid
and solid phases was reached in about 20 hours. The
analysis of the liquid and the wet solid phases was per-
formed as follows: the M'' ion contents were determined
complexonometrically at pH 9.5 - 10 using eriochrome
black as indicator (magnesium ions) and at pH 5.5 - 6
using xylenol orange as indicator (cobalt, nickel, copper
and zinc ions); the sulfate ions were precipitated as Ba-
SO4 with Ba(NO3)2 solutions and the concentrations of
the excess of Ba2+ ions were determined complexono-
metrically using eriochrome black as indicator; the con-
centrations of the rubidium sulfate were calculated by
difference [5]. The compositions of the solid phases were
identified by means of both the X-ray diffraction and the
infrared spectroscopy methods. Tutton compounds
Rb2M(SeO4)2·6H2O were prepared according to the solu-
bility diagrams of the three-component systems
Rb2SeO4-MSeO4-H2O (M = Mg, Co, Ni, Cu, Zn) [6-8].
The samples,
2442
1.98 0.02
MM SeOSO6HO
 (M' =
K, Rb, 4
NH; M'' = Mg, Co, Ni, Cu, Zn), were prepared
by crystallization from ternary selenate solutions in the
presence of 2
4
SO ions (the data for the potassium and
ammonium selenates are taken from [9]).
The infrared spectra were recorded on a Bruker model
IFS 25 Fourier transform interferometer (resolution < 2
cm1) at ambient temperature using KBr discs as matrices.
Ion exchange or other reactions with KBr have not been
observed. In some cases Lorentz band profile for multi
peak data was used to determine the correct band posi-
tions corresponding to asymmetric stretches of the in-
cluded 2
4
SO
ions (ORIGIN PRO 6.1). The X-ray po-
wder diffraction spectra were collected within the range
from 5˚ to 50˚ 2θ with a step 0.02˚ 2θ and counting time
35 s/step on Bruker D8 Advance diffractometer with CuKα
radiation and LynxEye detector. The lattice parameters
of the double salts were calculated using the program
ITO and refined with the program LSUCR.
3. Results and Discussions
3.1. Solubility Diagrams of the
Three-Component Systems
Rb2SO4-MSO4-H2O
(M = Mg, Co, Ni, Cu, Zn) at 298 K
The solubility diagrams of the above systems are pre-
sented in Figures 2-6 (the respective experimental data
Crystallization in the Three-Component Systems Rb2SO4-MSO4-H2O (M = Mg, Co, Ni, Cu, Zn) at 298 K
Copyright © 2013 SciRes. JCPT
138
Figure 2. Solubility diagram of the three-component system
Rb2SO4-MgSO4-H2O at 298 K.
Figure 3. Solubility diagram of the three-component system
Rb2SO4-CoSO4-H2O at 298 K.
Figure 4. Solubility diagram of the three-component system
Rb2SO4-NiSO4-H2O at 298 K.
Figure 5. Solubility diagram of the three-component system
Rb2SO4-CuSO4-H2O at 298 K.
Figure 6. Solubility diagram of the three-component system
Rb2SO4-ZnSO4-H2O at 298 K.
are summarized in Tables 1-5). It is seen that the simple
salts Rb2SO4, MgSO4·7H2O, CoSO4·7H2O, NiSO4·7H2O,
CuSO4·5H2O and ZnSO4·7H2O crystallize within very
narrow concentration ranges, whereas the rubidium dou-
ble sulfates crystallize within wide concentration ranges,
thus indicating that strong complex formation processes
occur in the ternary solutions.
3.2. X-Ray Powder Diffraction Data of
Rubidium Tutton Compounds
The X-ray powder diffraction patterns of the rubidium
Tutton compounds are shown in Figure 7. The double
salts form monoclinic crystals


5
12
SG 2h
PcC .
The calculated unit-cell parameters are presented in
Table 6. Our results coincide well with those determined
from single crystal X-ray diffraction data [1,2].
Crystallization in the Three-Component Systems Rb2SO4-MSO4-H2O (M = Mg, Co, Ni, Cu, Zn) at 298 K
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139
Table 1. Solubility in the Rb2SO4-MgSO4-H2O system.
Liquid phase mass% Wet solid phase mass%
Rb2SO4 MgSO4 Rb2SO4 MgSO4
Composition of the
solid phases
35.10 Rb2SO4
34.58 1.12 74.41 0.79 -
34.42 2.08 59.17 16.58 Rb2SO4 +
Rb2Mg(SO4)2·6H2O
34.07 2.03 53.26 21.09 Rb2Mg(SO4)2·6H2O
29.39 2.48 50.02 19.96 -
25.85 4.13 48.62 20.14 -
21.19 6.11 49.57 21.75 -
17.17 8.66 46.68 21.24 -
13.37 12.96 47.87 23.36 -
9.45 19.25 46.71 23.96 -
6.97 24.01 48.37 24.83 -
7.38 27.54 49.58 25.68 -
7.51 28.51 20.54 37.42
MgSO4·7H2O +
Rb2Mg(SO4)2·6H2O
6.87 28.73 3.19 42.21 MgSO4·7H2O
3.49 27.61 0.64 45.27 -
27.50 -
Table 2. Solubility in the Rb2SO4-CoSO4-H2O system.
Liquid phase mass% Wet solid phase mass%
Rb2SO4 CoSO4 Rb2SO4 CoSO4
Composition of the
solid phases
35.10 Rb2SO4
33.54 1.02 71.49 0.76 -
33.28 1.09 57.36 21.37 Rb2SO4 +
Rb2Co(SO4)2·6H2O
33.21 1.04 47.24 21.69 Rb2Co(SO4)2·6H2O
27.43 0.98 47.21 23.56 -
20.68 0.78 45.47 23.38 -
13.32 4.93 42.78 22.84 -
8.48 8.59 43.17 25.31 -
5.44 12.97 44.25 26.83 -
3.79 17.07 47.36 29.14 -
2.83 24.21 45.28 30.07 -
2.40 26.68 14.55 42.73 CoSO4·7H2O
Rb2Co(SO4)2·6H2O
2.19 26.49 0.84 44.93 CoSO4·7H2O
26.14 -
Table 3. Solubility in the Rb2SO4-NiSO4-H2O system.
Liquid phase mass%Wet solid phase mass%
Rb2SO4NiSO4 Rb2SO4 NiSO4
Composition of the
solid phases
35.10 Rb2SO4
34.72 1.53 67.42 1.17 -
34.68 1.57 63.65 18.67 Rb2SO4 +
Rb2Ni(SO4)2·6H2O
31.92 0.50 49.96 25.73 Rb2Ni(SO4)2·6H2O
26.44 0.68 48.18 24.58 -
19.85 0.81 47.26 26.22 -
13.00 2.40 43.72 23.19 -
10.52 3.45 44.36 24.65 -
7.59 9.04 45.61 26.29 -
5.08 13.37 46.44 28.07 -
3.97 19.82 47.56 29.45 -
4.02 23.37 43.74 29.67 -
4.06 24.08 15.72 45.67
NiSO4·7H2O +
Rb2Ni(SO4)2·6H2O
3.85 24.57 1.43 38.79 NiSO4·7H2O
26.47 -
Table 4. Solubility in the Rb2SO4-CuSO4-H2O system.
Liquid phase mass%Wet solid phase mass%
Rb2SO4CuSO4 Rb2SO4 CuSO4
Composition of the
solid phases
35.10 Rb2SO4
34.81 0.98 69.11 1.02 -
33.72 1.04 55.74 20.14 Rb2SO4 +
Rb2Cu(SO4)2·6H2O
33.64 1.12 50.47 26.73 Rb2Cu(SO4)2·6H2O
28.68 1.06 48.26 26.44 -
24.59 0.96 45.49 24.36 -
19.53 0.35 43.72 24.21 -
14.46 2.48 42.64 23.55 -
10.72 4.92 44.26 25.87 -
8.75 9.28 45.82 28.33 -
4.17 16.16 47.48 29.94 -
4.43 16.57 10.45 42.48
CuSO4·5H2O +
Rb2Cu(SO4)2·6H2O
3.97 17.01 1.74 38.76 CuSO4·5H2O
18.30 -
Crystallization in the Three-Component Systems Rb2SO4-MSO4-H2O (M = Mg, Co, Ni, Cu, Zn) at 298 K
Copyright © 2013 SciRes. JCPT
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Table 5. Solubility in the Rb2SO4-ZnSO4-H2O system.
Liquid phase
mass%
Wet solid phase
mass%
Rb2SO4 ZnSO4 Rb2SO4 ZnSO4
Composition of the solid
phases
35.10 Rb2SO4
34.61 1.98 61.48 1.28 -
34.15 1.72 56.57 20.46Rb2SO4 + Rb2Zn(SO4)2·6H2O
33.85 1.34 50.26 27.19Rb2Zn(SO4)2·6H2O
25.02 0.50 48.43 27.54-
17.72 2.63 43.67 25.71-
10.44 6.36 45.72 28.44-
4.87 15.06 43.85 29.16-
3.77 25.45 45.05 30.11-
4.01 30.86 42.67 30.85-
3.96 33.75 13.74 44.26ZnSO4·7H2O +
Rb2Zn(SO4)2·6H2O
3.79 34.05 1.28 29.04ZnSO4·7H2O
36.43 -
Table 6. Lattice parameters of the Tutton compounds.
Tutton
salts a (Å) b (Å) c (Å) β (˚) V3)
Mg 9.235(2) 12.493(2) 6.227(1) 105.95(2) 690.8(2)
Co 9.198(3) 12.483(5) 6.245(1) 106.12(2) 688.9(2)
Ni 9.147(4) 12.418(4) 6.223(3) 106.06(2) 679.3(3)
Cu 9.269(4) 12.365(4) 6.229(2) 105.38(2) 688.4(3)
Zn 9.198(2) 12.461(4) 6.248(2) 105.9(2) 688.5(1)
3.3. Infrared Spectra of Neat Rubidium Tutton
Sulfates
The free tetrahedral ions

4
XO n under perfect Td sym-
metry exhibit four internal vibrations:
1(A1), the sym-
metric X-O stretching modes,
2(E), the symmetric XO4
bending modes,
3(F2) and
4(F2), the asymmetric stret-
ching and bending modes, respectively. The normal vi-
brations of the free sulfate ions in aqueous solutions are
reported to appear as follows:
1 = 983 cm1,
2 = 450
cm1,
3 = 1105 cm1,
4 = 611 cm1 [10]. On going into
solid state, the normal modes of the

4
XO n ions are
expected to shift to higher or lower frequencies.
The static field (related to the symmetry of the site on
which the 4
XOn ions are situated) will cause a removal
of the degeneracy of both the doubly degenerate
2 mod-
es and the triply degenerate
3 and
4 modes. Since the
tetrahedral ions in the structures of Tutton compounds
occupy site symmetry C1, two bands for
2 (2A)
10 20 30 40 50
2
(degree)
Intensity
Rb
2
Zn(SO
4
)
2
·6H
2
O
Rb
2
Cu(SO
4
)
2
·6H
2
O
Rb
2
Ni(SO
4
)
2
·6H
2
O
Rb
2
Co(SO
4
)
2
·6H
2
O
Rb
2
Mg(SO
4
)
2
·6H
2
O
Figure 7. X-ray powder diffraction patterns of
Rb2M(SO4)2·6H2O (M = Mg, Co, Ni, Cu, Zn).
and three bands for
3 and
4 (3A), respectively, are ex-
pected to appear in the vibrational spectra as predicted
from the site group analysis (the nondegenerate
1 mode
is activated). Additionally, the factor group analysis (C2h
factor group symmetry) predicts a splitting of each spe-
cies of A symmetry into Ag + Au + Bg + Bu (related to
interactions of identical oscillators, correlation field ef-
fects). Consequently, 18 infrared bands (9Au + 9Bu) and
18 Raman bands (9Ag + 9Bg) correspond to the normal
vibrations of the tetrahedral ions. The correlation dia-
gram between the Td point symmetry, C1 site symmetry
of the sulfate ions and C2h factor group symmetry is pre-
sented in Figure 8. Unit-cell theoretical treatment for the
translational lattice modes (Rb, M'', 2
4
SO and H2O)
and librational lattice modes (2
4
SO and H2O) yields: 69
modes of Ag, Au, Bg and Bu symmetry and 48 modes of
Ag, Au, Bg and Bu symmetry for the translational and li-
brational modes respectively [11].
Infrared spectroscopic investigations of the potassium
Tutton sulfates and selenates are widely discussed in the
literature [9,12-17] and those of the rubidium selenates
are commented in [8,13,18].
Infrared spectra of Rb2M(SO4)2·6H2O (M = Mg, Co,
Ni, Cu, Zn) in the region of 4000 - 400 cm1 are shown
in Figures 9 and 10. Some structural and spectroscopic
data are summarized in Table 7 (for comparison the
Crystallization in the Three-Component Systems Rb2SO4-MSO4-H2O (M = Mg, Co, Ni, Cu, Zn) at 298 K
Copyright © 2013 SciRes. JCPT
141
Figure 8. Correlation diagram between Td point symmetry,
C1 site symmetry and C2h factor group symmetry (2
4
SO
ions).
structural and spectroscopic data for the respective po-
tassium and ammonium sulfates are presented; the data
are taken from [9]). It is readily seen that the shape of the
spectra and the band positions are similar owing to the
isostructureness of the double salts. The six infrared
bands expected according to the factor group analysis for
the asymmetric stretching modes of the sulfate ions coa-
lesce into three bands: Rb2Mg( SO 4)2·6H2O (1141, 1111,
1097 cm1); Rb2Co(SO4)2·6H2O (1142, 1112, 1097 cm1);
Rb2Ni(SO4)2·6H2O (1139, 1109, 1097 cm1);
Rb2Zn(SO4)2·6H2O (1139, 1111, 1099 cm1), and into
two bands for Rb2Cu(SO4)2·6H2O (1144, 1097 cm1).
The 1 modes appear at 984 cm1. The bending modes 4
are detected in the spectral intervals of 632 - 612 cm1. 2
appear at about 450 cm1 (see Figure 9).
Our infrared spectroscopic findings differ slightly
from those reported by Brown and Ross with respect to
the number of the bands corresponding to
3 of the sul-
fate ions. The spectra of the rubidium compounds com-
mented in [13] show more bands for
3 (some of them
assigned as shoulders) as compared to our results. We
believe that the difference between our spectra and those
discussed by Brown and Ross is due probably to the
temperatures at which the spectra are recorded. It is men-
tioned in [13] that some spectra are run at liquid nitrogen
temperature. However, there is no indication which spec-
tra are obtained at LNT.
The normal vibrations of the water molecules appear
in the high frequency region of 3000 - 4500 cm1. The
three crystallographically different water molecules (C1
site symmetry) in the structures of the Tutton sulfates are
expected to display six infrared bands corresponding to
the asymmetric and symmetric modes,
3 and
1 respec-
tively. However, due to the strong interactions of identi-
cal oscillators O-H the different normal modes overlap
and as a result one broad band centered at about 3230
cm1 is observed in the spectra of the double Tutton salts
1400 1200 1000800600400
459
509
579
619
631
755
851
984
1099
1111
1139
Wavenumber (cm-1)
Absorbance
445
561
631 619
771
895
981
1144
1097
Zn
Cu
Ni
Co
460
507
617
586
632
760
875
984
1097
1139
1109
450
579
616
631
870 751
984
1112
1142
1097
445
514
589
612
631
753
860
984
1111
1097
1141
Mg
Figure 9. Infrared spectra of Rb2M(SO4)2·6H2O (M = Mg,
Co, Ni, Cu, Zn) in the region of 1400 - 400 cm1 (normal
vibrations of the 2
4
SO
ions and water librations).
(with exception of the copper compound) (Figure 10).
Three bands corresponding to
2 of the three crystal-
lographically different water molecules are observed in
the spectra of the compounds under study: 1709, 1630
and 1553 cm1 (magnesium); 1734, 1641 and 1560 cm1
(cobalt); 1734, 1631 and 1574 cm1 (nickel); 1734, 1626
and 1590 cm1 (copper), and 1734, 1621 and 1548 cm1
(zinc). The band positions of the stretching modes indi-
cate that comparatively strong hydrogen bonds are
formed in the sulfates and the hydrogen bond strengths
Crystallization in the Three-Component Systems Rb2SO4-MSO4-H2O (M = Mg, Co, Ni, Cu, Zn) at 298 K
Copyright © 2013 SciRes. JCPT
142
1600
1800
1560
1641
1734
3245 1553
1630
1709
3230
1574
1631
1734
3234
1590
1626
1734
3245 3100
3348
1548
1621
1734
3225
Cu
3500 3000
Absorbance
Wavenumber (cm
-1
)
Mg
Co
Ni
Zn
//
Figure 10. Infrared spectra of Rb2M(SO4)2·6H2O (M = Mg,
Co, Ni, Cu, Zn) in the region of the stretching and bending
modes of the water molecules.
do not depend on the M'' chemical nature. The appear-
ance of a band at a lower frequency (3100 cm1) in the
spectrum of the copper compound shows that stronger
hydrogen bonds are formed in this salt as compared to
other rubidium compounds. This spectroscopic finding is
owing to the stronger synergetic effect of the Cu2+ ions,
i.e. to the strong Cu-OH2 interactions (increasing of the
acidity of the water molecules) [19,20]. The formation of
comparatively strong hydrogen bonds in the rubidium
compounds is due to the strong proton acceptor capacity
of the sulfate ions [19,20].
The water librations (rocking, twisting and wagging)
appear in the region below 1000 cm1 and a strong over-
lapping with vibrations of other entities in the structure is
expected. Two types of water librations for the Tutton
sulfates are discussed briefly in the literature—rocking
and wagging, the former observed at higher frequencies
[14]. Each type is characterized with two broad bands.
The water molecules bonded to the M'' ions via shorter
M''-OH2 bonds display water librations at higher fre-
quencies as compared to those forming longer M''-OH2
bonds (equatorial water molecules). The former M''-OH2
bonds are much more polarized due to the stronger syn-
ergetic effect of the M'' ions (stronger metal-water inter-
actions). The mean wavenumbers for the rocking libra-
tions are reported to have values of 855 and 740 cm1,
and 770 and 680 cm1 for the potassium and ammonium
sulfates, respectively. The respective wagging modes
have mean values of 570 and 441 cm1 for the potassium
compounds, and 544 and 425 cm1 for the ammonium
ones [14]. Thus, the bands in the interval of 895 - 751
cm1 are attributed to the rocking modes of the water
molecules and the bands in the region of 589 - 507 cm1
to the wagging modes. The close wavenumbers of the
water librations confirm the claim that the hydrogen
bonds formed in the rubidium Tutton sulfates are of close
strength (see Figure 9).
3.4. Infrared Spectra of 2
4
SO Ions Matrix Iso-
lated in Tutton Selenates
The method of crystal matrix-spectroscopy provides im-
portant information about the local potential at the lattice
sites where the guest ions are located as deduced from
their extent of distortion and the chemical nature of the
ligand environments in the lattice. When the polyatomic
ions are doped in host lattices at low concentration (up to
2 - 7 mol%) the correlation field splitting, the dispersion
of phonon curves (due to the interactions between iden-
tical oscillators) and LO/TO splitting effects (due to the
long-range forces of electrostatic origin) are neglected.
Thus, the vibrational spectra of the guest ions are deter-
mined by the site symmetry, which is assumed to be the
same as that of the respective host ions (substitutional
mixed crystals). The spectra of matrix-isolated polya-
tomic ions are an excellent probe of the local potential at
called an energetic distortion in order to distinguish it
from the geometrical distortion revealed by structural
data [21-23]. Both the site group splitting of the asym-
metric modes (
as) and the value of
max (the differ-
ence between the highest and the lowest wavenumbered
components of the stretching and bending modes, respec-
tively) are an adequate measure for the degree of ener-
getic distortion of the polyatomic ions [22,24,25]. Re-
cently, the value of the ratio
as/
c (where
c is the cen-
tro-frequency value of the asymmetric modes) has been
proposed to calculate the relative splitting of the dopant
ions [26].
Numerous papers in the literature are devoted to the
vibrational spectroscopic studies of polyatomic ions (for
example, 3
XO
, 2
4
XO
, 3
4
XO ) doped in various host
lattices [21,23-40]. Lutz et al. performed solid solution
spectroscopic experiments on monoclinic
Ba(ClO3)2·H2O-type and orthorhombic Sr(ClO3)2-type
Crystallization in the Three-Component Systems Rb2SO4-MSO4-H2O (M = Mg, Co, Ni, Cu, Zn) at 298 K
Copyright © 2013 SciRes. JCPT
143
Table 7. Some structural and spectroscopic characteristics for the 2
4
SO
ions in the neat Tutton salts (V/n, unit-cell volumes
divided by the numbers of the 2
4
SO ions; S-O, mean values of the S-O bond lengths; r(SO4), the difference between the
longest and the shortest S-O bond lengths in the respective tetrahedra;
max, the difference between the highest and the low-
est wave numbered components of the stretches of the 2
4
SO
ions; the structural data are taken from [1,2,9]).
Compounds V/n 3) S-O (Å) r(SO4) (Å)
3 (cm1) 3
(cm-1)
1 (cm1)
3 (cm1)
max (cm1)
K2Mg(SO4)26H2O 164 1.474 0.065 1147, 1108, 10981115 984 49 163
Rb2Mg(SO4)26H2O 172 1.470 0.014 1141, 1111, 10971116 984 45 160
(NH4)2Mg(SO4)26H2O 174 1.473 0.021 1147, 1108, 10981118 984 49 163
K2Co(SO4)26H2O 165 1.474 0.020 1144, 1100 1122 984 44 160
Rb2Co(SO4)26H2O 172 1.472 0.015 1142, 1112, 10971117 984 45 158
(NH4)2Co(SO4)26H2O 175 1.510 0.065 1146, 1102 1124 982 44 164
K2Ni(SO4)26H2O 162 1.473 0.016 1144, 1111, 11011119 982 43 164
Rb2Ni(SO4)26H2O 169 1.470 0.012 1139, 1109, 10971115 984 42 155
(NH4)2Ni(SO4)26H2O 171 1.476 0.020 1144, 1108, 11001117 982 44 164
K2Cu(SO4)26H2O 164 1.471 0.024 1144, 1102, 10971114 984 47 160
Rb2Cu(SO4)26H2O 171 1.473 0.024 1144, 1097 1121 981 47 163
(NH4)2Cu(SO4)26H2O 173 1.473 0.022 1144, 1102, 10951114 981 49 163
K2Zn(SO4)26H2O 164 1.470 0.018 1141, 1108, 11021117 982 39 159
Rb2Zn(SO4)26H2O 169 1.472 0.013 1139, 1111, 10991116 984 40 155
(NH4)2Zn(SO4)26H2O 173 1.474 0.021 1144, 1105 1124 984 39 160
host crystals with incorporated 3
ClO, 3
BrO and 3
IO
ions [21,24,25]. The energetic distortions of tetrahedral
ions matrix-isolated in different alkali metal lattices are
widely discussed in [26-34]. Recently, infrared spectra of
isomorphously included species—4
NH ions isolated in
KMPO4·6H2O (M = Mg, Ni) and 3
4
PO ions isolated in
MgNH4AsO4·6H2O have been reported [37].
Infrared spectra of mixed crystals

2442
2
MM SeOSO6HO
xx
 (M' = K, Rb, 4
NH
;
M'' = Mg, Co, Ni, Cu, Zn; x is approximately 0.02) are
presented in Figure 11. The infrared spectroscopic char-
acteristics of the matrix-isolated 2
4
SO ions are summa-
rized in Table 8 (the data for potassium and ammonium
Tutton salts are taken from [9]).
The matrix-isolated 2
4
SO ions exhibit three bands
corresponding to
3 in agreement with the low site sym-
metry C1 of the 2
4
SeO host ions. Bands of small inten-
sities around 980 cm1 appear in the spectra which are
assigned to
1 of the guest sulfate ions (the spectra are
recorded at higher concentrations of the samples in KBr
in order to distinguish the
1 mode; the spectra are not
shown; see Table 8). When the larger 2
4
SeO host ions
are replaced by the smaller 2
4
SO guest ions the mean
values of the asymmetric stretching modes
3 of the
2
4
SO
guest ions are slightly shifted to lower frequencies
as compared to those of the same ions in the neat sulfate
compounds due to the smaller repulsion potential of the
selenate matrices, i.e. to the larger unit-cell volumes of
the respective selenates (compare Tables 7 and 8).
Several factors are expected to influence on the values
of
3 and
3/
c: 1) the chemical nature of the metal
ions; 2) the repulsion potential of the selenate matrices,
and 3) the strength of the hydrogen bonds. The spectro-
scopic experiments show that the distortion of the 2
4
SO
guest ions as deduced from the values of
3 and
3/
c
increase on going from the potassium to the ammonium
compounds (see Table 8). The formation of hydrogen
bonds between the 2
4
SO
guest ions and both the water
molecules of the host compounds and the 4
NH
host
ions obviously facilitate the extent of energetic distortion
of the guest ions (for example,
3 of the sulfate guest
ions have values of 30 and 51 cm1 in the nickel potas-
sium and ammonium matrices, and 33 and 49 cm1 in the
zinc potassium and ammonium matrices, respectively).
The larger values of
3 and
3/
c of the sulfate guest
ions matrix-isolated in rubidium selenate matrices as
compared to those of the 2
4
SO ions included in the
potassium matrices are owing probably to the smaller
Crystallization in the Three-Component Systems Rb2SO4-MSO4-H2O (M = Mg, Co, Ni, Cu, Zn) at 298 K
Copyright © 2013 SciRes. JCPT
144
c
b
a
Mg
1100
1119
1134
Co
1097
1121
1133
Ni
1102
1113
1132
Cu
1098
1108
1130
Zn
1100
1119
1133
Absorbance
1101
1132
1089
1097
1134 1137
1117
11331095 1086
1119
1135
1079
1092
1132
1086
1120
1140 1080
//
//
1131
1090
1140 1080
//
//
1129
1089
1101
Wavenumber (cm
-1
)
1140 1080
1093
1103
1140 1080
1079
1092
1132
1140 1080
1090
1100
1132
Figure 11. Infrared spectra of 2
4
SO ions matrix-isolated (about 2 mol%) in
 
2442
1.98 0.02
MM SeOSO6HO
 (M' = K, Rb,
+
4
NH ; M'' = Mg, Co, Ni, Cu, Zn) in the region of
3: potassium selenate matrices (row a); ammonium selenate matrices (row
b); rubidium selenate matrices (row c).
Table 8. Some spectroscopic characteristics of 2
4
SO
guest ions matrix-isolated in selenate matrices (for the assignments see
Table 1; the data for the potassium and ammonium compounds are taken from [9]).
2
4
SO
guest ions (approximately 2 mol%)
Host compounds
3 (cm1) 3
(cm1)
1 (cm1)
3 (cm1)
max (cm1)
3/c (%)
K2Mg(SeO4)26H2O 1134, 1119, 1100 1118 980 34 154 3.04
Rb2Mg(SeO4)26H2O 1132, 1101, 1090 1108 981 42 151 3.79
(NH4)2Mg(SeO4)26H2O 1134, 1097, 1089, 1107 980 45 154 4.06
K2Co(SeO4)26H2O 1133, 1121, 1097 1117 982 36 151 3.22
Rb2Co(SeO4)26H2O 1131, 1101,1089 1107 980 42 151 3.79
(NH4)2Co(SeO4)26H2O 1133, 1117, 1095 1115 981 38 152 3.40
K2Ni(SeO4)26H2O 1132, 1113, 1102 1116 982 30 150 2.68
Rb2Ni(SeO4)26H2O 1129, 1103, 1093 1108 982 36 147 3.25
(NH4)2Ni(SeO4)26H2O 1137, 1119, 1086 1114 979 51 158 4.58
K2Cu(SeO4)26H2O 1130, 1198, 1098 1112 981 32 149 2.88
Rb2Cu(SeO4)26H2O 1135, 1100, 1084 1106 980 51 155 4.61
(NH4)2Cu(SeO4)26H2O 1132, 1092, 1079 1101 981 53 151 4.81
K2Zn(SeO4)26H2O 1133, 1119, 1100 1117 982 33 151 2.95
Rb2Zn(SeO4)26H2O 1132, 1100, 1090 1107 983 42 149 3.79
(NH4)2Zn(SeO4)26H2O 1135, 1120, 1086 1114 982 49 153 4.40
Crystallization in the Three-Component Systems Rb2SO4-MSO4-H2O (M = Mg, Co, Ni, Cu, Zn) at 298 K
Copyright © 2013 SciRes. JCPT
145
local potential at the lattice sites where the sulfate ions
are located (i.e. to the larger unit-cell volumes of the ru-
bidium selenates) [39].
As far as the influence of the M'' ion nature on the
values of
3 and
3/
c of the sulfate ions is concerned
the spectroscopic experiments show that the sulfate ions
are stronger distorted in the case of
(NH4)2M(SeO4)1.98(SO4)0.02·6H2O (M = Ni, Cu, Zn) and
Rb2Cu(SeO4)1.98(SO4)0.02·6H2O. These findings are due
probably to the formation of stronger hydrogen bonds in
these compounds, i.e. to the stronger interaction between
the water molecules of the host compounds and the sul-
fate guest tetrahedra (stronger proton donor capacity of
the water molecules coordinated to the copper, zinc and
nickel cations, i.e. to the stronger synergetic effect of
these ions) [19,20].
4. Conclusions
1) The solubility in the three-component systems
Rb2SO4-MSO4-H2O (M = Mg, Co, Ni, Cu, Zn) was stud-
ied at 298 K.
2) Isostructural compounds, Rb2M(SO4)2·6H2O (M =
Mg, Co, Ni, Cu, Zn), crystallize from the ternary solu-
tions within wide concentration ranges due to the strong
complex formation processes in the solutions.
3) Comparatively strong hydrogen bonds are formed in
the rubidium Tutton sulfates as deduced from both the
wavenumbers of the stretching modes of the water mo-
lecules and the water librations due to the strong proton
acceptor strength of the sulfate ions.
4) The degree of energetic distortion of the 2
4
SO
guest ions in

2442
1.98 0.02
MM SeOSO6HO
 (M' = K,
Rb, NH4; M'' = Mg, Co, Ni, Cu, Zn) is analyzed with
respect to the values of
as and
as/
c.
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