Understanding
the structures and calculated properties of glasses is necessary when
developing a glaze system for use as a coating on a ceramic body.
Glass can be described as a transparent
product possessing the properties of hardness, rigidity and brittleness. Some
oxides can be obtained in the form of glasses when they are cooled, and the
ability to form a glass depends on the oxygen ions’ arrangement in forming the
unit cell of the crystal structure. Understanding the structures and calculated
properties of glasses is necessary when developing a glaze system for use as
crystal, opaque, transparent or matte coatings on ceramic bodies.

Table 1.
Notes
1. Values indicated in parentheses are valid for
a R2O-SiO2 glass
system.
2. If the Na2O content is > 1%, factor for K2O = 46.5 in all
other cases K2O = 42.5
3. aB2O3 = -1.25*b where b
= sum p(R2O) + sum
p(RO)-p(Al2O3) divided by
p(B2O3). If b > 4, then B2O3
= -5.0. Otherwise, the factor for B2O3
will be according to the formula as above.
4a. If p(SiO2) is between 67% and 100%, then the factor
for SiO2 is a SiO2 = 10.5 -
0.1*p(SiO2).
4b. If p(SiO2) = or < 67, then the factor for SiO2 is
3.8.
5. If SiO2 content is 50 to 80%, the factor for
TiO2 will be aTiO2 = 10.5 - 0.15*p(SiO2).
6. aPbO = 13 for glasses: a. without
Na2O, K2O and
Li2O; b. alkali-lead-silicate glass with sum
p(R2O) < 3; or
c. other glasses, if sum p(RO) + sum p(RmOn) divided by sum
p(R2O) is > 0.33. If the conditions a., b., and c. are not
fulfilled, then the factor for PbO will be aPbO = 11.5 + 0.5*sum p(R2O).
Oxides and Structure
Oxides, which form glasses when melted and
cooled, are termed glass-forming or network-forming. In silicate glasses, the
network-forming oxides are based on SiO
4-tetrahedral
interconnected through oxygen atoms at the corners. Conventional wisdom implies
that alkaline and alkaline-earth orthosilicate materials cannot be vitrified
because they do not contain sufficient network-forming
SiO
2 to establish the needed interconnectivity.
The most important glass-forming oxides are silica, boric acid and phosphorous
pentoxide. Silica glass is well known due to its low coefficient of thermal
expansion and high softening temperature. Boric acid and phosphorous pentoxide
glasses are easily attacked by water and have no practical application.
When considering glass structure, it is necessary to differentiate two
other types of oxides in terms of their function-network-modifying and
intermediate oxides. Alkali oxides and alkaline earth oxides are considered
modifiers and play an active role in defining the mechanical, chemical and
optical properties of the glass. A modifying glass is not able to build up the
glass network and instead weakens the glass structure. For example, sodium
oxide forms sodium silicate glass but results in changes to the viscosity and
thermal expansion properties, which can be attributed to the weakening of the
bonds within the glass network.
An intermediate oxide is not capable of forming a glass, but it can take part
in the glass network. While these compounds don’t form glasses on their own,
they participate in the tangled networks initiated by
other compounds such as silica. Alumina
(Al
2O
3) is a good example. Adding
alumina to an alkali glass or glaze gives strength, chemical resistance and
higher devitrification resistivity. On the other hand, the addition of alumina
also raises the softening and melting point of the glass.
Elements like titanium and zircon can also be considered network co-formers.
Glasses that feature a higher amount of cations do not vitrify very easily
(e.g., zinc and cadmium-containing glasses). The addition of zinc to a glaze
provides increased strength and chemical resistivity. If the zinc level has
reached a maximum, it reacts like a network modifier.
1 
Table 2.
Melting Behavior
Problems concerning the furnace refractory
can develop if the melting temperature of the glass is too high. Adding certain
glass ingredients can lower the melt viscosity and thus speed up the melting.
Alkali metal oxides like Li
2O,
Na
2O and K
2O are considered
useful fluxes in the melting process.
Lead is a glass constituent that contributes to the transparency, fusibility
and high refractive power of the glass. Lead can easily form a glass with a
small amount of glass former (e.g., SiO
2,
B
2O
3). The ratio between PbO and B
2O
3
determines the relative solubility of lead and boric acid in a lead borate
glass, and it is affected by other ingredients (like alkalis). If the ratio is
greater than 2:5, the lead oxide is easily extracted and can be optimized by
progressively varying the ingredients.
Higher silica and alumina content in a glass tends to decrease the
solubility level. The most effective solution is to develop two glass
systems-one with lead but without alkalis and boric acid, and the second with
alkalis and boric acid but without lead. Using these two glasses in a glaze
batch can reduce the solubility of lead.
2
Adding a network-forming oxide such as PbO or Na
2O
continuously to a silica glass produces glass property changes. Boric acid,
however, produces a change comparable to the silica glass but with an increased
concentration of B
2O
3 in the
glass system.

Figure 1a. Calculated thermal expansion for Frit F 280 (base: CaO-B2O3-SiO2).
Glass Properties
Most glass properties are sensitive to
chemical composition. In this paper, we are going to discuss only those
properties that are closely related to the use of glass in creating a coating
that will be used on diverse ceramic bodies. These properties include surface
tension, thermal expansion, flux factor and acidity.
Surface
tension (ST) is measured as the energy required to
increase the surface area of a liquid by a unit of area. Low surface tension
favors the elimination of gas bubbles during glaze firing, whereas high surface
tension favors the reabsorption of the bubbles during the cooling of glaze.
High surface tension also causes the glaze to crawl. Dietzel proposed the
following factors to calculate the ST of a glaze from the oxide
composition:
3
Na
2O: 1.5
K
2O: 0.1
BaO: 3.7
Li
2O: 4.6
ZnO: 4.7
CaO: 4.8
Al
2O
3: 6.2
SiO
2: 3.4
B
2O
3: 0.8
The ST of the glass is calculated according to the formula: oxide % x ST
factor. It is expressed as dynes per centimeter.

Figure 1b. Measured thermal expansion for Frit F 280 (base: CaO-B2O3-SiO2).
Many tables of oxide
thermal
expansion have been published over the years; the first system was suggested
by Winkelman & Schott.
4 All of the known methods for
calculating the thermal expansion of glasses from composition are based on
additive formulae that represent the expansion as a linear function of oxide
concentration. However, the majority of glass and melt properties are not
linear over a wider composition range.

Table 3.
Accordingly, Appen has taken this fact into
consideration in defining the factors of expansion for
oxides.
5 The formula for the calculation of thermal
expansion is: ai = a1*p1 +
a2*p2 +…..+ aN*pn,
where ai = factors for the oxides (see Table 1), and
p1, p2…….pN = amount of oxides of a glass expressed in molar percentage. The
expansion coefficient is expressed in 10
-8. Figure 1
shows a comparison of measured vs. calculated thermal expansion values.
Both
flux
factor and
acidity are calculated from the molar composition of
a glass based on each individual factor. The formula for the calculation of
flux factor is: F = 100*Y/(X+Y), where X =
[1.18*(Al
2O
3+ZrO
2)
+ SiO
2]*0.38, and Y = RO +
(B
2O
3). Factors for the
individual oxides used in the calculation of flux factor are shown in Table
2,
6 while Table 3 illustrates the relationship between
flux factors and glass systems.

Table 4.
The ratio of the alkaline and acid oxides
determines the structure of glass systems used as a coating on a ceramic body.
It can be easily modified by changing the alkaline and acid oxides according to
the application temperature (see Table 4).
Defeating Defects
Glaze defects like crazing and crawling are the result of a
thermal expansion mismatch between the glaze and the body. Likewise, high
surface tension in a glaze can lead to crawling, and too low of an ST causes
the glazes to run.
The proper calculation of thermal expansion and surface tension, among
other factors, is important to consider in glaze formulation to guarantee the
proper fit of the glaze to the body. The calculation methods described here can
be used as effective tools to develop glaze compositions with specified
physical and chemical properties, which will help manufacturers better
understand the structure and properties of their glaze systems.
For
more information, contact Fusion Ceramics Inc., P.O. Box 127, Carrollton, OH
44615; (330) 627-2191; fax (330) 627-2082; e-mail info@fusionceramics.com; or visit www.fusionceramics.com.