American Journal of Applied Sciences 4 (5): 323-327, 2007
ISSN 1546-9239
© 2007 Science Publications
Corresponding Author: Halimah M.K., Ultrasonic Laboratory, Department of Physics, Faculty of Science University Putra
Malaysia, 43400 Serdang, Selangor, Malaysia
323
Structural Analysis of Borotellurite Glass
Halimah M.K., Daud W.M., Sidek H.A.A., Zainal A.S., Zainul A.H. and Jumiah H.
Ultrasonic Laboratory, Department of Physics, Faculty of Science, University Putra Malaysia
43400 Serdang, Selangor, Malaysia
Abstract: The average cross-link density, number of the network bonds per unit volume, average
stretching force constant, atomic ring size and the ratio K
bc
/K
e
have been calculated and discussed
according to bond compression model for borotellurite glass. The result showed that the connectivity
and rigidity of the borotellurite glasses increases with TeO
2
content due to the transformation of BO
3
units to BO
4
and TeO
3
units to TeO
4
. Comparison between theoretical calculated and experimental
elastic moduli and Poisson’s ratio has been carried out. The results showed good agreement between
experimental and theoretical calculated elastic moduli.
Key words: Borotellurite glass, bond compression model
INTRODUCTION
Tellurite glasses with the unique physical
properties and applications were reported by El-
Mallawany
[1]
. Elastic properties are very informative
about the structure of solids and are directly related to
the interatomic potentials. Elastic properties also
provide the information about internal arrangement of
the constituent oxides and the mechanical strength of
the glass. Elastic moduli of tellurite, binary transition
tellurite, rare earth tellurite and multicomponent
tellurite glasses including halide, hydrostatic and
uniaxial pressure dependencies of ultrasonic waves in
these glasses at room temperature have been measured
and reported
[1]
. Recently, elastic properties of (TeO
2
)
50
-
(V
2
O
5
)
50-x
(TiO
2
)
x
glasses using pulse-echo technique
have been studied
[2]
.
TeO
2
and B
2
O
3
are known as glass forming oxides.
The structure of tellurite glass is a laminar network
based on triangular TeO
3
pyramids or square TeO
4
pyramids
[3]
. Boron oxide B
2
O
3
in its glassy form is a
laminar network consisting of boron atoms 3-fold
coordinated with oxygen which can form six-membered
boroxol rings (B
3
O
6
), as reported earlier by Krogh-
Moe
[4]
. When an alkali oxide modifies the pure boron
oxide, the additional oxygen causes a conversion from
the trigonal boron atoms BO
3
into 4-fold BO
4
coordinated boron atoms. Each BO
4
structural group is
negatively charged and the four oxygens are included in
the network as bridging oxygen. These units are
responsible for the increase in the connectivity of the
glass network. As a result, the degree of the structural
compactness and modification of the geometrical
configuration in the glass network can vary with a
change in the composition
[4,5]
. In borotellurite glasses,
the TeO
4
units and BO
4
units have a strong tendency to
link with each other to form BTeO
3,5
units, which
results in a higher connectivity in the glass network just
like BPO
4
units in borophosphate glasses
[6]
. In this
article the elastic moduli of borotellurite glasses will be
discussed. Information about the structure of the glass
can be deduced by calculating the number of network
bonds per unit volume, the average stretching force
constant, the average ring size and the average cross-
link density. The theoretical values of ultrasonic
activation energy and elastic moduli are calculated and
compared with the corresponding experimental values.
MATERIALS AND METHODS
For the present studies, a binary TeO
2
-B
2
O
3
glass
system was prepared with different mol percent TeO
2
.
The binary TeO
2
-B
2
O
3
glasses were synthesized by the
method mentioned elsewhere
[7]
. The prepared samples
were cut into required dimension for ultrasonic velocity
measurement. For ultrasonic velocity measurement of
the glass sample, MATEC MBS 8000 was used. All
measurements were taken at 5 MHz frequency and at
room temperature. The density of the glasses was
determined by Archimedes method with acetone as
buoyant liquid.
Theory: For a three dimensional one component oxide
glass of A-O bond (A= cation, O= oxygen), the bulk
modulus (K
bc
) according to the bond compression
model
[8]
is given by equation
2 b
bc
nf
K = r
9
(1)
where r is the bond length between cation and anion,
f is the average stretching force constant and n
b
is the
number of network bond per unit volume of the glass is
given by