Electrical Conductivity and Chemical Equilibria of Coordination Biopolymeric Cerium (IV)-Alginate Complex with Correlation between the Structure and Complex Stability

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In this research study, the cross-linked cerium (IV)-alginate complex, as coordination biopolymeric compound in the granules form, was prepared. It has been indicated from the x-ray diffraction patterns that the nature of alginate complex is amorphous. Additionally, it has been revealed from the infrared absorption spectra that cerium (IV) chelates the alginate macromolecular chains in the complex. The study has displayed that the range of us OCO- is 1424 cm-1and the range of uasOCO- is 1605 cm-1. This indicates that a complexation type between the cation Ce4+ and both carboxylate and hydroxyl functional groups of alginate macromolecule is usually takes place. The study has also measured the electrical conductivity (s) of coordination biopolymeric cerium (IV)-alginate complex, as function of temperature. It has been indicated from the measured value of the electrical conductivity, i.e., 1.04 x10-9 Siemens at 20oC that the conductance of the complex lies in the range of semiconductors. The research has profoundly discussed with evaluation of the thermodynamic parameters. Afterwards, appropriate conduction mechanism based on the electrical conductivity and chemical equilibrium has also been suggested and discussed in terms of the complex stability in correlation with its coordination geometry.

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International Journal of Chemistry; Vol. 7, No. 2; 2015

ISSN 1916-9698 E-ISSN 1916-9701
Published by Canadian Center of Science and Education

# Electrical Conductivity and Chemical Equilibria of Coordination Biopolymeric Cerium (IV)-Alginate Complex with Correlation between the Structure and Complex Stability

Ishaq Zaafarany 1, Hatem Altass 1, Jabir Alfahemi 1, Khalid Khairou 1, Refat Hassan 2

1Chemistry Department, Faculty of Applied Sciences, Umm Al-Qura University, Makkah Al-Mukarramah 13401,
Saudi Arabia

2Chemistry Department, Faculty of Science, Assiut University, Assiut 71516, Egypt

Correspondence: Refat Hassan, Chemistry Department, Faculty of Science, Assiut University, Assiut 71516,
Egypt. Email: rmhassan2002@yahoo.com, Tel: +201227319979

Received: July1, 2015  Accepted: July15, 2015  Online Published: August 14, 2015

doi:10.5539/ijc.v7n2p57     URL: http://dx.doi.org/10.5539/ijc.v7n2p57

Abstract

In this research study, the cross-linked cerium (IV)-alginate complex, as coordination biopolymeric compound in
the granules form, was prepared. It has been indicated from the x-ray diffraction patterns that the nature of
alginate complex is amorphous. Additionally, it has been revealed from the infrared absorption spectra that
cerium (IV) chelates the alginate macromolecular chains in the complex. The study has displayed that the range
of  s OCO- is 1424 cm -1 and the range of  asOCO- is 1605 cm -1 . This indicates that a complexation type between
the cation Ce 4+ and both carboxylate and hydroxyl functional groups of alginate macromolecule is usually takes
place. The study has also measured the electrical conductivity (  ) of coordination biopolymeric cerium
(IV)-alginate complex, as function of temperature. It has been indicated from the measured value of the electrical
conductivity, i.e., 1.04 x10-9 Siemens at 20 o C that the conductance of the complex lies in the range of
semiconductors. The research has profoundly discussed with evaluation of the thermodynamic parameters.
Afterwards, appropriate conduction mechanism based on the electrical conductivity and chemical equilibrium
has also been suggested and discussed in terms of the complex stability in correlation with its coordination
geometry.

Keywords : polymeric biomaterials, chemical equilibria, semiconductors, polysaccharides, geometrical structure,
alginates

1. Introduction

Alginate is found to be a natural anionic polyelectrolyte of binary linear heteropolymer structure, which consists
of 1,4- linked α-L- guluronic and β-D-mannuronic acid units. The monomers are arranged in a clockwise manner
fashion around the macromolecular chains (Chanda et al., 1952). Conducting polymers offer the promise of
achieving a new generation of polymers and materials that exhibit a high potential application in industrial
technology (Nandapureet al., 2013; Kondawaret al., 2011; Jing et al., 2005; Mead, 1961; Sulanecket al., 1990).
Coordination biomaterials such as, cited polysaccharides are of great importance in industrial engineering owing
to their wide applications in manufacturing and industrial technology, including latex, paint, paper textile,
emulsifiers, detergents, stabilizers, as well as in ceramic glaze. They are also used in pharmaceutics of cosmetic
like the thickeners, hand lotion, binders, hair, and shampoo components of treatment. They also play an
imperative role in the medication as toothpaste binders, ulcer controllers of stomach, and blood antiagulant.

More so, they are also utilized in the industry of food and beverages, such as milk products, pet foods, fish gels,
pizza, relishes, jellies, and drinks. In the current era, those polysaccharides as well as their derivatives have
become considerably applicable in different applications, including medical adhesive, skin grafting, tissue
engineering, drug delivery, biomedical sensors, and in applications of wound dressing.

Conductance measurements of polymers, which are sandwiched between two metal electrodes, have gained
considerable attention owing to their wide applications as sensors in electronic devices (El-Dossoukyet al., 1986).
Another reason is the acquisition of more information on the structure of materials, which have been achieved
from such electrical conductivity measurements.

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Although, conducting polymers, in particular, which are prepared from synthetic polymers, has been the focus of
research and development in recent years owing to their unique electrical, optical and chemical properties
(Abdel-Wahabet al., 1997).A little attention has been given on the polymers, which are prepared from natural
materials, like polysaccharides. This fact may be attributed to the lack of information, which is achieved on the
electrical properties of such later materials. Indeed, Hassan and co-workers have also investigated the behavior
of electrical conductivity of some coordination natural biopolymers such as, the metal-alginate complexes that
are cross-linked, either in the state of granule or gel. For example, the electric conduction as a function of
frequency was investigated for coordination biopolymeric metal-alginate compounds in the state of granule or
gel form (Abdel-Wahab et al., 1997; Ahmed et al., 1997; Hassanet al., 1989; Hassan, 1989).

Additionally, the electrical conductivities, as a temperature function for some cross-linked complexes of
monovalent (Hassan, 1991), divalent (Khairou& Hassan, 2002), trivalent (Zaafarany et al., 2010; Zaafarany,
2014; Hassan et al., 1995), and hexavalent (Hassan et al., 1993) metal cations, in the forms of granule have also
been studied. Unfortunately, the discrepancies and variety of electrical conductivity behavior were observed in
those studied complexes and, hence, they made controversial in their suggested conduction mechanisms which
became unclear, and incomplete.

After considering the above mentioned aspects of physicochemical studies of natural polymeric biomaterials, the
behavior of electrical conductivity of the present complex, may lead the research towards the analysis of the
condition of the suggested conduction mechanism. This practice may also help in attaining more information on
the relationship of chemical equilibria, electrical properties, and the geometrical structure on the complex
stability for these coordination polymeric biomaterial complexes.

2. Methods and Materials

_2.1 Experimental Materials_

Sodium alginate, which was used in this study, was Cica-Reagent (Kanto Chem. Co.). In addition to this, all
preparations were made by using doubly distilled water. All other materials and resources, which were used in
this research, were of analytical grade.

_2.2 Tetravalent Metal alginate_

2.2.1 Granules Preparation

The granules of cross-linked Ce (IV)-alginate was formulated and developed via the substitution of the counter
ions, Na +, in the alginate macromolecule by the ions of cerium (IV) from the electrolyte (Hassan, 1991;
Khairou& Hassan, 2002; Zaafarany et al., 2010; Zaafarany,2014; Hassan et al., 1995; Hassan et al., 1993). This
entire procedure was conducted by gradually adding up the power of alginate to electrolyte solutions of the
cerium (IV) ions. During this process, the development of lumps was avoided by ensuring constant and quick
stirring of the solution, since formation of such lumps may enhance several complexities. After the
accomplishment of the exchange process, the produced granules were gathered and washed thoroughly with
de-ionized water. It is significant to notice that the granules were washed so that the ions of non-chelated metal
were removed from the resultant water. Afterwards, it was dehydrated under vacuum over anhydrous P2O5 or
CaCl2.Samples were acquired in the form of circular discs, which had the thickness of 1-2 mm and diameter of
13-14 mm. Those samples were attained by the help of IR disc, which was compressed at a steady pressure of
approximately 1500 psi.

_2.2.2 X-ray Diffraction_

The patterns of x-ray diffraction were attained by the utilization of a Philip 1710 diffractometer (Hassan, 1991;
Khairou& Hassan, 2002; Zaafarany et al., 2010; Zaafarany,2014; Hassan et al., 1995; Hassan et al., 1993).

_2.2.3 IR Spectra_

In this study, PyeUnicamSp 3100 spectrophotometer was used to scan the IR spectra by utilizing the technique of
KBr disc, having the diameter of 4000-400 cm-1.

_2.2.4 Conductance Measurements_

Metal-alginate complexes, specifically in the gel form, incorporate certain mechanical properties, which
complicates the process of measuring their electrical properties through conventional methods. In this situation, a
contemporary technique was adopted to overcome such vulnerabilities. Basically, this technique incorporates
advanced cell device, which facilitates measurement practices (Hassanet al., 1989; Hassan, 1989; Zaafaranyet al.,
2009).

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Moreover, the dc conductance was calculated by the help of Keithely 610 C electrometer, along with the
temperature range of approximately 290-560oC.The electrodes having circular shape, which were used for this
experiment created a sandwich of M-S-M. In this account, S represents the specimen and M embodies the
electrodes. The metal-alginate complex discs were inserted amid the two standard electrodes (silver paste or
copper, graphite). The discs were escalated into a formulated electric furnace, which was temperature controlled,
and has incorporated a standardized thermocouple of copper-constantan. Furthermore, the acquired or resultant
samples were kept short circuited for three to five hours, in order to furnish it for the experimental measurements.
The samples were used to measure and estimate the electrical resistance, which was further used to calculate the
electrical conductivities (  ) as follows:

1

L

a ~~)~~ (1)

 _=_ ~~(~~

1

? ~~)~~ ~~(~~

And, R stands for Resistance (Ω);a stands for the area (cm2)of the sample surface, L stands for the Thickness
(cm) of the specimen.

_2.2.5 Measurements of Chemical Equilibrium_

Aqueous solutions, incorporating the combinations of hydrogen ions (HCIO4) and the cerium (IV)-alginate
complex grains of known concentration were equilibrated thermally within a water-bath of constant temperature.
It was upheld at optimum temperature, i.e., ± 0.05 o C. It is significant to notice that during this process, a
magnetic stirrer was utilized, in order to ensure continuous stirring. After the acquisition of equilibrium, which
was attained after 24h, the solutions found were clear and the reactants contained in them were injected out.
More so, the concentration of Ce 4+ along with H + was recognized by complexometric and titrimetric techniques
(Hassan, 1991; Vogel, 1978).

All tests were repeated, while utilizing different concentrations of the reagents at different scales of temperature.
Some experimental runs were performed pH-metrically and conductometrically, in order to analyze and
understand the reproducibility of the data, which was acquired from the complexometric and titmetric methods
for the determination of the [H + ] and [Ce 4+ ], respectively. The acquired results were adequately aligned with each
other, as per the predefined experimental error, i.e., ±(4-5) %. This result confirms the reproducibility of the
experimental techniques, which were used in the research study. The results used were also at least an average of
five experimental runs. It is significant to notice that by the addition of an inert electrolyte NaClO4, the ionic
force of the mixtures retained their constant value at 0.1mol dm-3.

3. Results

It has been established that cross-linked complexes of tetravalent metal-alginate are usually produced as soon as
the counter ions, Na+,of alginate macromolecule are substituted by the same quantity of cations of tetravalent
metal. The metal ions that are inter-diffused, chelated the hydroxyl and carboxylate functional groups of alginate
macromolecular chains through the formulation of partially coordinate and partially ionic bonds, respectively.
These bonds were mediated through blocks of alginate macromolecular chains in an egg-carton like structure
(Zaafaranyet al., 2009; Hassan, 1991; Vogel, 1978; Zaafarany et al., 2009; Awad& El-Cheikh,1981; Hirst&
Rees,1965; Rees & Scott, 1971; Schweiger, 1962). This exchange process occurs inherently and
stoichiometrically, despite the mobilities, along with the valences of the two exchanging counter ions are not the
same (Hellferich, 1962).

4(Alg-Na)n + n M 4+ →(Alg4-M)n+(4Na + )n (2)

Solid  aqueous solid complex  aqueous

where, (Alg – Na), (Alg4 – M) and M are sodium alginate, metal-alginate complex and the chelated metal ion,
respectively.

The diffraction patterns of the x-rays show that the recognized alginate complexes possess amorphous nature.
Pertinent bands of infrared that have delivered a substantial structural indication for the attachment mode amid
these tetravalent metal cations and alginate functional groups are shown in Fig. 1.

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Fig. 1. Infrared Spectra of (a): Cross-Linked Ce (IV)-Alginate Complex and (b) Alginate Substrate.

The vibrational assignments of the bands showed that the bands of υs -CO 2- and υas -CO 2- are relocated from
1600 and 1400 cm -1 in alginate to higher frequencies of 1605 and 1428 cm-1 in the complexes indicating the
barriers amid the hydroxyl and carboxylate functional groups of alginate macromolecular chains and
inter-diffused Ce 4+ ions (Bellamy,1966; Cozzi et al.,1968). The observation of broadband at around 3500 cm -1,
which belongs to υ OH of water (or OH-free functional groups), is also shifted to lower frequencies of 3477 cm -1
as shown in Table 1.

Table 1. FTIR Frequencies (cm-1) for Sodium Alginate and Some Cross- Linked Metal-Alginate Complexes

Complex υsOCO υasOCO _υOH_ _υM-O_ Reference
Na-alginate 1400 1600 3500 850 Hassan, 1993
Ce IV -alginate 1424 1605 3447 809 This work
Th IV -alginate 1419 1635 3462 810 Zaafarany et al.,2009
Se IV -alginate 1408 1629 3387 806 Zaafarany et al.,2009
Notes: υM-O: Stretching vibrations of metal-oxygen bond; υOH : Stretching vibrations of H bond of OH; υas:
Asymmetry stretching vibrations of OCO; υs Symmetry stretching vibrations of OCO.
The free-ligand has found to have considerably firm and well-built band at 1735 cm-1. This can be easily
allocated to the carbonyl, while extending carbonyl group vibration (Bellamy, 1966). The band displacement has
also been observed at around 1742 cm-1. This may also point out the collaboration of the carboxylate groups,
within the forms of both asymmetric (υas) and symmetric (υs) vibration of -COO- group. In this situation, the
location of the υs -COO - demonstrates the bridging groups of carboxylate. The electrical conductivities of Ce
(IV)-alginate complex, have been estimated as a temperature function, within the circular discs structure. As
shown in Fig. 2, a log ơ plot against 1/T of Arrhenius equation shows a complicated behavior where, two distinct
conduction regions at lower and higher temperatures, separated by one transition zone is observed.

Fig. 2.A plot of Log ơ against 1/T of Cerium (IV) Cross-Linked Metal-Alginate Complex.

Similar behavior was observed in analogous studies of the electrical conductivity having
temperature-dependence of some other cross-linked metal-alginate complexes (Hassan, 1991; Khairou& Hassan,
2002; Zaafarany et al., 2010; Zaafarany,2014; Hassan et al., 1995; Hassan et al., 1993).The observed increment

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of electrical conductivity by the temperature increment, at early stage was recognized to the development of
coordinated molecules of water in the amorphous phase by dehydration processes or formation of free-radical
substrates in the studied complex(Tirkistani& Hassan, 2012).

However, the absence of such parabolic behavior at the early stages of the measurements, for some other metal,
alginate complexes despite the presence of coordination water molecules in their amorphous phases; hence, leads
towards excluding the proposal of evolution of coordinated water molecules (Khairou& Hassan, 2002) .
Consequently, the observed parabolic behavior may be interpreted by the formulation of free-radical
intermediates incorporating chelated cerium cations of considerably lower oxidation state (Ce 3+ ) rather than that
of the original untreated complex (Cotton & Wilkinson, 1972; Moller, 1967; Muller, 1967).

This suggestion was based on the possibility of relocation of electrons to the cations of cross-linked cerium metal
from the alginate macromolecule. Hence, the transition zones number is mainly dependent on the probable
oxidation states, which are formed during the reduction of chelated metal cations. For example, chromium (III)
and iron (III) are well-known to be of one-equivalent oxidant nature (Cotton & Wilkinson, 1972; Moller, 1967;
Muller, 1967), i.e. only Cr (II) and Fe (II) oxidation states are formed on reduction. Therefore, the number of
expected transition zones should be only one, which was observed experimentally (Zaafarany et al., 2010). Again,
uranium (VI) is a multi-equivalent oxidant, which gives a various reductant states, i.e., U V, U IV and U III,
respectively, through the successful mechanism of one electron transfer, within a sequence (Hassan et al., 1993).

Therefore, three parabolic shapes should be exhibited, as reported earlier (Khairou& Hassan, 2002). On the other
hand, divalent and some trivalent metal cations such as, lanthanum (III) and cerium (III) are difficult to be
reduced to lower oxidation states (Cotton & Wilkinson, 1972; Moller, 1967; Muller, 1967). Hence, it can be
stated that no formation of transition zones could be expected (Zaafarany, 2014; Hassan et al., 1993). In the
reflection of above experimental observations and interpretations, same mechanism of conduction is
recommended in different studies, which can be followed in the present research (Hassan, 1991; Zaafaranyet al.,
2010; Hassan et al., 1993).Cerium (IV) is known to be of one-equivalent nature, which in turn should manifest
two parabolic zones as shown in Fig.2 (Cotton & Wilkinson, 1972; Moller, 1967; Muller, 1967). Consequently,
the increment in the values of(  ) with the temperature increment at initial phases with respect to the studied
complexes can be explained by the transfer of one-electron from alginate macromolecule to the chelated Ce 4+
cations forming from free-radical intermediate substrate and metal cations of lower oxidation (Hassan et al.,
2010). The phenomenon is stated as follows:

[(RCOO-)4.M 4+ ]n  [(RCOO.)(4-y).M (4-y) +]n1 (3)

Where,RCOO - and RCOO. are referred as the free alginate and its free-radical substrate, respectively, in their
complexes. M denotes the chelated Ce 4+ cations and y is the number of electron transferred. Of course, the
dimerization of the free-radicals will lead to a decrement in the charge carriers; hence, a decrement in the
electrical conductivity should be expected as observed experimentally. This dimerization is presented in below
mentioned equation:

[(RCOO.)4-y.M (4-y) +]n1+[(RCOO.)4-y.M (4-y) +] n1 =2[(RCOO)(4-y).M (4-y) +]n1 (4)

On the other hand, the increment in the values of  that was perceived at the elevated temperatures. This
phenomenon could be explained through intermediate degradation for providing upsurge to the corresponding
cerium oxide as the final product of oxidation (Hassan et al., 1993; Zaafarany et al., 2009; Zaafarany et al., 2009;
Hassan et al., 2010; Hassan, 1992).

2[(RCOO)(4-y).M (4-y) +]n1→MO2+xH2O+zCO2 (5)

Electrical conductivity with a number of values was acquired from a number of electrodes and they were aligned
with one another. Hence, the conductance measurements reproducibility was confirmed. In other words, it means
that on the behavior of electrical conductivity, there is no impact of the electrodes nature. Generally, the
conductance in polymeric compounds takes place by two mechanisms of conduction, including electronic and
ionic conductions. This depends on the charge carriers’ nature that exists in the macromolecular chains network
(Sulaneck et al., 1990).

The activation energy value can be measured as the secondary indication for the mechanism of conduction.
When the value of the activation energy, Ea, is larger than unity, it means that the cationic conduction
mechanism is the more prominent one, whereas, those values are usually lower than unity in case of electronic
mechanism of conduction. In these cross-linked metal alginates, the activation energies can be easily increased in
slopes of log ơ –1/T plots using the Arrhenius equation

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−Ea

 =                - exp ~~(~~

−Ea

RT ~~)~~ (6)

Where,  is the electrical conductivity;Ea is the activation energy of the charge carriers;  O is a constant.

The least squares method will be used to calculate the values, which will be summarized accompanied by
complexes of the cross-linked tetravalent metal alginate, as shown in Table 2 (Zaafarany et al., 2009; Zaafarany
et al., 2009). The values of activation energy are found to be less than 1.0 eV. These values are observed in order
to study tetravalent metal alginate complexes in the present work which reflect the prominence of the mechanism
of the electronic conduction. Again, the values of  (Ω -1 cm -1 ) for the listed complexes in Table 2 may indicate
that the electrical conductivity increases in the order Ce IV -<Th IV -<Se IV - alginate complexes.

Table 2. The Activation Energies in eV and the Electrical Conductivity in Ω -1 cm -1 (290 K) for Some Cross
Linked m-Alginate Complexes.

Complex _Ea_
(Initial Stage)

_Ea_
(Final stage)

 ( Ω ~~-1~~ cm ~~-1~~ ) Reference

Ce ~~IV~~ -alginate 0.28 0.84 1.04x10 ~~-9~~ This work
Th IV -alginate 0.86 1.20 2.01 x10 -9 Zaafarany et al.,2009
Se IV -alginate 0.25 1.17 6.0x10 -9 Zaafarany et al.,2009
The equilibrium within ion exchange was acquired when the Ce 4+ counter ions within thecomplex of
metal-alginate are substituted by other cations, like H + ions. The entire process of the establishment of ion’s
chemical equilibrium can be expressed by the help of below mentioned equation.

4(H-Alg)n+ nCe 4+ (7)

(Ce IV -Alg4)n+(4H + )n

Solid aqueous   solid  aqueous

For such heterogeneous system, the law of mass action will be applied, as shown in below mentioned equation:

Kc = [H-Alg4.]n [Ce 4+ ]n / [Ce IV -Alg4]n[H + ] 4

n (8)

All solid phase activities will be considered as unity (Glasston& Lewis, 1960; Baugh et al., 1972).

K a = Kc (  Ce 4+ /  4 H + ) n (9)

During the solid phase, the activity coefficients is assumed as constant; hence, providing following relationship
constant (Glasston& Lewis, 1960; Baugh et al., 1972).

K a = Kc ([Ce 4+ ]/ [H + ] 4 ) (10)

whereKc is the quotient equilibrium constant; Ka is the constant of thermodynamic equilibrium;  ’s the
corresponding activity coefficients.

The calculated values of the equilibrium constant were found to be 68.07 and 43.78 dm9mol -3 at 25  C and 40  C.
The corresponding parameters values of the thermodynamics, for such exchange chemical equilibria were
estimated of the equilibrium constant from the dependence of temperature. All of the estimated values are
summarized in below mentioned Table 3. The table also incorporates the values, which are acquired for other
quadrivalent metal alginate complexes (Zaafarany et al., 2009; Zaafarany et al., 2009).

Table 3. Kinetic Parameters of Chemical Equilibria for Exchange in Some Cross Linked Metal-alginate
Complexes

-  S  298
Reference
J mol -1 K -1

K298
Complex
dm 9 mol -3

-  G ~~~~

298
kJmol -1

-  H 
kJmol -1

Ce ~~IV~~ -alginate 68.07 10.98 22.83 39.77 This work
Th IV -alginate 25.23 8.02 26.22 61.07 Zaafarany et al.,2009
Se IV -alginate 54.99 9.92 24.72 49.66 Zaafarany et al.,2009
The magnitude of the K values, which are obtained in the present study, may indicate that the equilibrium
constant, specifically for exchange, follow the order of Ce 4+ - Se 4+ - Th 4+, during their metal alginate complexes.
It has been indicated from the ΔH O negative values that the procedures of exchange are exothermic. Additionally,
it has been reflected from the negative values of ΔG O that these exchange processes are usually impulsive in
nature. It was reported by (Hassan, 1993) that the interdiffused ions of metal chelate the functional groups of
alginate macromolecular chains by two geometrical structures. The first type indicates the intramolecular
interaction of the ions, in which functional groups are usually from the similar chains. Thereby, it can be
affirmed that the planes, which incorporate the chelated metal ions are parallel with these molecular chains, i.e.,

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alginate macromolecular chains. This structural arrangement is usually referred as planar geometry.

On the other hand, the second structure relates with the intermolecular association, in which the ions of metal are
perpendicularly arranged with the alginate chains. It is significant to notice that the functional groups, which are
involved in this process, are usually associated with different chains; hence, attaining the configuration or
structural arrangement, which is normally referred as non-planar geometry (Hassan et al., 2013). In this situation,
the nature and type of the attained geometry mainly relies on the coordination number and valency of the
chelated metal ion in the complex. Hexavalent cations and the cations of divalent metal are referred as octahedral
six coordination geometry, within their complexes. It is also established that the geometrical structure intends to
chelate the functional groups through intramolecular or intermolecular association, to acquire the octahedral
geometry in their complexes. Below mentioned Schemes I and II shows the geometrical configuration of their
complexes.

Scheme I

Scheme II

The priority of these two geometrical structures mainly relies on the stability and constancy of the formulated
complexes. More so, the tetravalent and trivalent metal ions are forced or imposed to cross-link the functional
groups of alginate macromolecule through intermolecular association type within their alginate complexes,
because of having different reasons, regarding geometrical structure. Below mentioned Scheme III shows the
entire phenomenon. On the other hand, the priority of the intermolecular association mechanism for chelation,
while considering the case of tetravalent and trivalent metal- alginate complexes, can be easily illustrated by
their capability to reduce the bond stretching, which results from the occurrence of elongation of metal-oxygen
bond in case of intra-molecular association (Hassan,1993).

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Chelation in Trivalent Metal Ion           Chelation in Tetravalent Metal Ion

Complexes                           Complexes

Intermolecular Association

Scheme III

In the reflection of preceding explanation, the geometrical structure in metal alginate complexes can be easily
attained by the help of chelation of the inter diffused metal ions with the carboxylate groups, as principal units,
along with the water or hydroxyl molecules of the amorphous phase. The process intends to accomplish the
coordination number of the chelated metal ion, in order to acquire more stable geometrical structure.

Charge carriers are found to increase their velocity to considerably maximum levels, in intermolecular
association, as compared to intramolecular association. Hence, there is a higher expectation of electrical
conductivity in the non-planar than that in the planar geometries, which is presented in Table 2 (Hassan, 1993;
Thomas et al., 2006). The value of electrical conductivity lies in the range of semiconductors for monovalent,
trivalent, and tetravalent metal-alginate complexes, indicating that the chelation in these metal-alginate
complexes should be of intermolecular association geometry, which may confirm the provided suggestion, which
is presented in Scheme III.

On the other hand, the values of the electrical conductivities for uranium (VI) - and silver (I)-alginate complexes
(not listed) may indicate that the uranyl ion prefers to coordinate the functional group of alginate macromolecule
through intramolecular association mechanism. On the other hand, silver (I) prefers to be chelated through
intermolecular association in its alginate complex in a good accord with the results that are reported in earlier
studies (Hassan, 1991; Hassan et al., 1993).

4. Conclusion

The cross-linked cerium (IV)-alginate complex, in the form of grains or granules has been produced in this study.
During the process of experimentation, it has been established from the x-ray diffraction trends that the alginate
complexes are usually amorphous in nature. In addition to this, it has also been recognized by analyzing the
spectra of infrared absorption that cerium (IV) is responsible for chelating the alginate macromolecular chains,
within a complex. Moreover, the υs OCO and υasOCO -, which has been demonstrated in this study are found to
be amid the range of 1424 and 1605 cm -1 . These values have revealed the fact that certain complexation amid the
Ce 4+ and functional hydroxyl and carboxylate groups of alginate macromolecule can be occurred within a
complex. The electrical conductivity of the ordination biopolymeric cerium (IV)-alginate complex has also been
estimated in the study, specifically as a function of temperature. The analysis of the processes has revealed the
fact that the conductance of any complex resides in the range of the conductance, which is possessed by the
semiconductors.

Different thermodynamics have also been estimated in the paper, while establishing appropriate and adequate
conduction mechanism for the stability of the complex. The Arrhenius plots of log ơ vs.1/T have also been
developed in the study, which illustrates the fact that complex behavior may take place, if two conduction
regions are divided by one transition parabolic zone. The results show considerable increase in ơ values at the
initial stages. This process was demonstrated by the development of free-radical intermediate. On the other hand,
the researcher has interpreted the increase inơ value, at increased temperatures, as the formation of the
degradation product. Furthermore, the study has also investigated the equilibrium in heterogeneous chemical by
using complexometric and titrimetric techniques.

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