**The Fabrication of Porous Barium Titanate Ceramics via Pore-Forming Agents (PFAs) for Thermistor and Sensor Applications**

Burcu Ertuğ *Gedik University, Department Of Metallurgical & Materials Engineering, Yakack/Kartal, Istanbul Turkey* 

#### **1. Introduction**

72 Powder Metallurgy

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The perovskite family includes many titanates used in various electroceramic applications, for example, electronic, electro-optical, and electromechanical applications of ceramics. Barium titanate, perovskite structure, is a common ferroelectric material with a high dielectric constant, widely utilized to manufacture electronic components such as mutilayer capacitors (MLCs), PTC thermistors, piezoelectric transducers, and a variety of electro-optic devices (Wang, 2002).

For positive temperature coefficient of resistance (PTCR) and humidity/gas sensing applications of BaTiO3, a porous microstructure is required. When oxygen is adsorbed on the grain boundaries, PTCR effect is enhanced. Thus a porous structure is needed for PTCR properties. Besides, porous ceramics can also be used for humidity/gas sensing. The water vapour is adsorbed on pores improving the electrical conductivity of the surface.

A number of routes are employed in order to fabricate porous ceramics for PTCR and/or humidity/gas sensors. Low pressure forming can be used for the production of BaTiO3 ceramics. Forming can be done by unaxial pressing since hot pressing or hot isostatic pressing can eliminate pores. Also several other pressureless forming techniques can be used to make porous bodies. Another method for fabricating porous ceramics is using pore forming agents (PFAs) prior to sintering. PFAs form porosity through the ceramic body by different mechanisms. Different porosifiers that can be used for the production of barium titanate ceramics are starch based, carbon based, metallic or polymeric porosifiers. In the following paragraphs, crystal structure of, donor doping of and the electrical properties of barium titanate is described. Also the concept of porosity is briefly mentioned. Porous ceramics production, pore formers in general and pore formers in BaTiO3 is also explained. Finally PTCR and humidity/gas sensing properties of BaTiO3 is described in detail.

### **2. Perovskites and barium titanate (BaTiO3)**

ABO3 oxides which adopt the perovskite structure form an important group of compounds possessing many useful and interesting physical properties. The idealized structure is cubic,

The Fabrication of Porous Barium Titanate Ceramics

(Tsur et al., 2001).

**2.1 Donor doping of BaTiO3**

compensated by a cation vacancy or an anion interstitial

electrons in the case of donor dopants (Smyth, 2000).

via Pore-Forming Agents (PFAs) for Thermistor and Sensor Applications 75

Fig. 2.2 Lattice constants of BaTiO3 as function of temperature (Wang, 2002).

+ rO). The Goldschmidt tolerance factor for perovskites is, hence defined by

In an ideal cubic perovskite, the ionic radii, ri (i=A, B, O), satisfy the relation rA + rO = √2 (rB

For pure barium titanate t~1.06. t is greater than 1 due to the fact that the Ti4+ ion is smaller than its cavity (BaZrO3 has t~1) and/or that the Ba2+ is larger than its cavity (SrTiO3 has t~1)

In a stoichiometric solid solution the extra positive charge of a donor center can be

D2O3(2MO) = 2DM + Oo +O''I (2-2)

 D2O3(3MO) = 2DM + V''M +3Oo (2-3) Eq. (2-2) maintains a perfect cation sublattice, while the anion sublattice is perfect in Eq.(2-3). A shift from the stoichiometric solid solution with its compensation by a lattice defect, to a non-stoichiometric solid solution with compensation by an electronic defect, requires an interaction with the ambient atmosphere. The stoichiometric solution may gain or lose oxygen at oxygen activities greater than or less than, in equilibrium with the stoichiometric composition. In this way, The compensating lattice defect is eliminated and is replaced by

When La3+ replaces Ba2+ on the A-site (La is too large to replace Ti on the B-site), charge imbalance is created which must be compensated by either cation vacancies on the A- or B-

2La2O3 + 3TiO2 = 4LaBa + 3TiTix + 12Oox +VTi'''' (2-4)

site (ionic compensation), or by electrons (electronic compensation) as follows

t = {rA + rO} / {√2 (rB + rO) } (2-1)

point group m3m. The structure can be thought of in two ways. First, it can be viewed as being constructed from corner-sharing octahedral of oxygen ions, with the small B cations occupying the octahedral site and the much larger A cations occupying the interstices between the stacked octahedra. Alternatively, the structure can be thought of as closepacked ordered layers of oxygen and the larger A cations (AO3), with the B cations occupying the octahedral interstices between the layers (Brook, 1991). The perovskite lattice of barium titanate is shown in Fig.2.1.

Fig. 2.1 The crystal structures of barium titanate (BaTiO3). (b) [001], (c) [110], and (d) [111] directions (Hutagalung, 2011).

BaTiO3 exhibits two basic structures, one being a ferroelectric, tetragonal, perovskite structure within temperature range 5-125°C. Above 125°C, the BaTiO3 has the cubic perovskite, paraelectric phase (a=4.009A°, c/a=1). BaTiO3 exhibits a first-order displacive phase transition at 125°C from cubic (m3m) to tetragonal (4mm) on cooling. This change is accompanied by an elongation in the [001] direction and a contraction along the a-axes. Below 5°C, BaTiO3 has another displacive phase transition resulting in an orthorhombic (mm2) structure (a=5.667A°, b=5.681A°, c=3.989A°). Associated with the phase change, there is a continuous change in the polarization direction, from parallel to the <100> direction of the unit cell, towards the <110> direction. At -90°C, BaTiO3 is transformed into the rhombohedral crystal structure and the polarization direction becomes parallel to the <111> direction (Zhou, 2000). The change of the crystal lattice dimensions with temperature in BaTiO3 is shown in Fig.2.2.

Fig. 2.2 Lattice constants of BaTiO3 as function of temperature (Wang, 2002).

In an ideal cubic perovskite, the ionic radii, ri (i=A, B, O), satisfy the relation rA + rO = √2 (rB + rO). The Goldschmidt tolerance factor for perovskites is, hence defined by

$$\mathbf{t} = \{\mathbf{r}\_{\mathrm{A}} + \mathbf{r}\_{\mathrm{O}}\} \;/\; \{\sqrt{2} \; (\mathbf{r}\_{\mathrm{B}} + \mathbf{r}\_{\mathrm{O}})\} \tag{2-1}$$

For pure barium titanate t~1.06. t is greater than 1 due to the fact that the Ti4+ ion is smaller than its cavity (BaZrO3 has t~1) and/or that the Ba2+ is larger than its cavity (SrTiO3 has t~1) (Tsur et al., 2001).

#### **2.1 Donor doping of BaTiO3**

74 Powder Metallurgy

point group m3m. The structure can be thought of in two ways. First, it can be viewed as being constructed from corner-sharing octahedral of oxygen ions, with the small B cations occupying the octahedral site and the much larger A cations occupying the interstices between the stacked octahedra. Alternatively, the structure can be thought of as closepacked ordered layers of oxygen and the larger A cations (AO3), with the B cations occupying the octahedral interstices between the layers (Brook, 1991). The perovskite lattice

Fig. 2.1 The crystal structures of barium titanate (BaTiO3). (b) [001], (c) [110], and (d) [111]

BaTiO3 exhibits two basic structures, one being a ferroelectric, tetragonal, perovskite structure within temperature range 5-125°C. Above 125°C, the BaTiO3 has the cubic perovskite, paraelectric phase (a=4.009A°, c/a=1). BaTiO3 exhibits a first-order displacive phase transition at 125°C from cubic (m3m) to tetragonal (4mm) on cooling. This change is accompanied by an elongation in the [001] direction and a contraction along the a-axes. Below 5°C, BaTiO3 has another displacive phase transition resulting in an orthorhombic (mm2) structure (a=5.667A°, b=5.681A°, c=3.989A°). Associated with the phase change, there is a continuous change in the polarization direction, from parallel to the <100> direction of the unit cell, towards the <110> direction. At -90°C, BaTiO3 is transformed into the rhombohedral crystal structure and the polarization direction becomes parallel to the <111> direction (Zhou, 2000). The change of the crystal lattice dimensions with temperature

of barium titanate is shown in Fig.2.1.

directions (Hutagalung, 2011).

in BaTiO3 is shown in Fig.2.2.

In a stoichiometric solid solution the extra positive charge of a donor center can be compensated by a cation vacancy or an anion interstitial

$$\text{D-O}(\text{2MC}) = \text{2D'}\_{M} + \text{Oo} + \text{O'}\_{1} \tag{2-2}$$

$$\text{D-CO(3MO)} = 2\text{D'}\_{\text{M}} + \text{V'}\_{\text{M}}^{\prime} + \text{3CO} \tag{2-3}$$

Eq. (2-2) maintains a perfect cation sublattice, while the anion sublattice is perfect in Eq.(2-3). A shift from the stoichiometric solid solution with its compensation by a lattice defect, to a non-stoichiometric solid solution with compensation by an electronic defect, requires an interaction with the ambient atmosphere. The stoichiometric solution may gain or lose oxygen at oxygen activities greater than or less than, in equilibrium with the stoichiometric composition. In this way, The compensating lattice defect is eliminated and is replaced by electrons in the case of donor dopants (Smyth, 2000).

When La3+ replaces Ba2+ on the A-site (La is too large to replace Ti on the B-site), charge imbalance is created which must be compensated by either cation vacancies on the A- or Bsite (ionic compensation), or by electrons (electronic compensation) as follows

$$2\mathrm{La\_2O\_3} + 3\mathrm{TiO\_2} = 4\mathrm{La'\_{Ba}} + 3\mathrm{Ti\_{Ti}x} + 12\mathrm{Co^{x}} + \mathrm{V\_{Ti}^{\prime\prime\prime\prime}} \tag{2-4}$$

The Fabrication of Porous Barium Titanate Ceramics

ferroelectric ceramics (Vijatovic et al., 2008).

Park, 2004).

via Pore-Forming Agents (PFAs) for Thermistor and Sensor Applications 77

Barium titanate is a very attractive material in the field of electroceramics and microelectronics due to its good characteristics. Its high dielectric constant and low loss characteristics make barium titanate an excellent choice for many applications, such as capacitors, multilayer capacitors (MLCs) and energy storage devices. Doped barium titanate has found wide application in semiconductors, positive temperature coefficient resistors, ultrasonic transducers, piezoelectric devices, and has become one of the most important

Barium titanate (BaTiO3) is an insulator with a large energy gap of 3.05 eV at room temperature. It can be made n-type semiconducting by partially substituting Ba2+ by trivalent cations such as La3+ and Y3+ or Ti4+ by pentavalent cations such as Nb5+ and Sb5+. The extra positive charge is compensated by free electrons. Doped BaTiO3 which is sintered in air, exhibits a very high relative permittivity and a sharp increase in resistivity above Curie temperature, i.e 120°C (called "positive temperature coefficient of resistance", or PTCR) when the structure changes from ferroelectric to paraelectric. Pure barium titanate is an insulator with no PTCR effect. A high PTCR effect can be achieved by the incorporation of transition metals such as Mn, V, Fe, Cu and Cr. This is because the transition metals substitute for Ti 4+ as a lower valency state and act as acceptors (Kim, 2002; Kim et al., 2000;

Fig. 3.1 Electrical resistivity for typical PTCR device and schematic presentation of defect

The grain-boundary model given by Heywang treats the grain boundary as a n-type Shottky barrier with deep acceptor states at grain boundaries (Vijatovic et al., 2008). The resistance

The double-Schottky energy barrier model proposed by Heywang is one of the most effective model which explains the mechanism of PTCR effect. According to this model, the double-Schottky type energy barrier is formed along the grain boundary and its barrier height determines the total conductivity. The electrical potential barrier results from

chemistry responsible for PTCR effect (Vijatovic et al., 2008).

anomaly behavior of doped BaTiO3 is shown in Fig.3.1.

**3. Positive temperature coefficient of resistance (PTCR) property** 

$$\text{2L.a2O}\_3 + \text{3TiO}\_2 = \text{2L.a1}\_{\text{Ru}} + \text{3Ti}\_{\text{Ti}}{\text{x}} + \text{9O} \text{p}^{\text{x}} + \text{V}\_{\text{Ru}}{\text{''}} \tag{2-5}$$

$$2\text{La}\_2\text{O}\_3 + 2\text{TiO}\_2 = 2\text{La}\_{\text{Ru}}^\circ + 2\text{Ti}\_{\text{Ti}}^\circ + 6\text{O}\text{o}^\circ + 1/2\text{O}\_2 + 2\text{e}^\circ\tag{2-6}$$

Ionic compensation ((2-4) and (2-5)) should have negligible effect on the room temperature conductivity due to the immobility of cation vacancies; La doped BaTiO3 compensated in this way should, therefore, remain insulating. In contrast, electronic compensation (Eq. (2-6)) should cause a substantial increase in conductivity, in which the number of carriers equals the La concentration (Morrison et al., 2001).

Fig.2.3 indicates the effect of donor concentration (La3+) on the electrical conductivity and grain size of BaTiO3. As the donor concentration increases initially the conductivity increases up to 0.15% of La3+ and then decreases up to 0.3% of La3+. The high conductivity region is where the electronic compensation dominates, after a critical donor concentration, cation vacancy compensation dominates and electrical conductivity decreases. Up to 0.3% of La3+, the grain size of BaTiO3 is not affected by donor concentration being 25 μm, however, above 0.3% of La3+, grain size decreases to 5μm.

Fig. 2.3 Schematic of donor concentration influence on room temperature electrical conductivity and grain size.

Donor dopant incorporation is achieved by either electronic compensation at low concentrations or vacancy compensation at high concentrations. High concentrations of segregating donors at grain boundaries inhibites grain growth. At small concentrations, donor incorporation by electronic compensation explains the high conductivity. As the average dopant concentration increases, the local donor concentration at the grain boundary increases rapidly due to segregation. The donor incorporation at the grain boundary shifts from electronic to vacancy compensation, resulting in the formation of highly resistive layers and also, grain size decreases due to significant dopant drag on the boundary mobility (Desu, 1990).

2La2O3 + 3TiO2 = 2LaBa + 3TiTix + 9Oox +VBa'' (2-5)

 2La2O3 + 2TiO2 = 2LaBa + 2TiTix + 6Oox +1/2O2 + 2e' (2-6) Ionic compensation ((2-4) and (2-5)) should have negligible effect on the room temperature conductivity due to the immobility of cation vacancies; La doped BaTiO3 compensated in this way should, therefore, remain insulating. In contrast, electronic compensation (Eq. (2-6)) should cause a substantial increase in conductivity, in which the number of carriers equals

Fig.2.3 indicates the effect of donor concentration (La3+) on the electrical conductivity and grain size of BaTiO3. As the donor concentration increases initially the conductivity increases up to 0.15% of La3+ and then decreases up to 0.3% of La3+. The high conductivity region is where the electronic compensation dominates, after a critical donor concentration, cation vacancy compensation dominates and electrical conductivity decreases. Up to 0.3% of La3+, the grain size of BaTiO3 is not affected by donor concentration being 25 μm, however,

Fig. 2.3 Schematic of donor concentration influence on room temperature electrical

Donor dopant incorporation is achieved by either electronic compensation at low concentrations or vacancy compensation at high concentrations. High concentrations of segregating donors at grain boundaries inhibites grain growth. At small concentrations, donor incorporation by electronic compensation explains the high conductivity. As the average dopant concentration increases, the local donor concentration at the grain boundary increases rapidly due to segregation. The donor incorporation at the grain boundary shifts from electronic to vacancy compensation, resulting in the formation of highly resistive layers and also, grain size decreases due to significant dopant drag on the boundary

the La concentration (Morrison et al., 2001).

above 0.3% of La3+, grain size decreases to 5μm.

conductivity and grain size.

mobility (Desu, 1990).

#### **3. Positive temperature coefficient of resistance (PTCR) property**

Barium titanate is a very attractive material in the field of electroceramics and microelectronics due to its good characteristics. Its high dielectric constant and low loss characteristics make barium titanate an excellent choice for many applications, such as capacitors, multilayer capacitors (MLCs) and energy storage devices. Doped barium titanate has found wide application in semiconductors, positive temperature coefficient resistors, ultrasonic transducers, piezoelectric devices, and has become one of the most important ferroelectric ceramics (Vijatovic et al., 2008).

Barium titanate (BaTiO3) is an insulator with a large energy gap of 3.05 eV at room temperature. It can be made n-type semiconducting by partially substituting Ba2+ by trivalent cations such as La3+ and Y3+ or Ti4+ by pentavalent cations such as Nb5+ and Sb5+. The extra positive charge is compensated by free electrons. Doped BaTiO3 which is sintered in air, exhibits a very high relative permittivity and a sharp increase in resistivity above Curie temperature, i.e 120°C (called "positive temperature coefficient of resistance", or PTCR) when the structure changes from ferroelectric to paraelectric. Pure barium titanate is an insulator with no PTCR effect. A high PTCR effect can be achieved by the incorporation of transition metals such as Mn, V, Fe, Cu and Cr. This is because the transition metals substitute for Ti 4+ as a lower valency state and act as acceptors (Kim, 2002; Kim et al., 2000; Park, 2004).

Fig. 3.1 Electrical resistivity for typical PTCR device and schematic presentation of defect chemistry responsible for PTCR effect (Vijatovic et al., 2008).

The grain-boundary model given by Heywang treats the grain boundary as a n-type Shottky barrier with deep acceptor states at grain boundaries (Vijatovic et al., 2008). The resistance anomaly behavior of doped BaTiO3 is shown in Fig.3.1.

The double-Schottky energy barrier model proposed by Heywang is one of the most effective model which explains the mechanism of PTCR effect. According to this model, the double-Schottky type energy barrier is formed along the grain boundary and its barrier height determines the total conductivity. The electrical potential barrier results from

The Fabrication of Porous Barium Titanate Ceramics

(Zhang, 2004).

with sintering (Jiang, 2003).

resistivity (NTCR) properties.

**3.1 Barium titanate as PTCR thermistor** 

Thus the exponential increase of the electrical resistivity, is

via Pore-Forming Agents (PFAs) for Thermistor and Sensor Applications 79

The barrier height of BaTiO3 ceramics increases with increasing porosity. There is an exponential relationship between the resistance of PTCR ceramics and the barrier height. If the ferroelectric compensation of the ceramics at the room temperature is the same, the resistance of PTCR ceramics increases with increasing porosity. With the increase of porosity, the contact between individual grains looks more dispersed, which is helpful to diffusion of oxygen into the ceramic bulk and to oxidation of grain boundaries. A large PTCR jump is only possible for the samples sintered in an oxidizing atmosphere. The oxygen concentration at grain boundary is in direct proportion to PTCR effect of ceramics

Sintering under O2 atmosphere affects not only barrier height but the resistance and capacitance of grain boundaries. The effect is due to variation of the adsorbed gases at the grain boundaries. The diffusion coefficient of oxygen at grain boundary is much higher than that in bulk, which implies that there is a gradient of adsorbed oxygen density in the surface of the grain. Sintering under O2 atmosphere results in increasing number of oxygen acceptors at the grain boundary and increase in resistance. The barrier height also increases

Barium titanate, which has a perovskite structure, is a common ferroelectric material with a high dielectric constant, widely utilized to manufacture electronic components such as mutilayer capacitors (MLCs), PTC thermistors, piezoelectric transducers, and a variety of electro-optic devices. Dielectrics and insulators can be defined as materials with high electrical resistivities. A good dielectric is, of course, necessarily a good insulator, but the converse is by no means true (Wang 2002). Barium titanate (BaTiO3) is a ceramic material with a band gap of 3.05 eV at room temperature. Since the energy gap of barium titanate is large, it is an insulator when it is pure. It can be made n-type semiconductor when doped with donor dopants such as La3+ and Nb5+. Poly-crystalline *n*-type semiconducting barium titanate (BaTiO3) exhibits a behaviour known as the positive temperature coefficient of resistivity (PTCR) effect. The electrical resistivity of *n*-type semiconducting barium titanate increases by several orders of magnitude near the ferroelectric Curie temperature (120 ◦C) (Kim 2000). At the Curie temperature, barium titanate undergoes ferroelectric to paraelectric transition (Kim 2004). This behaviour is indicated in Fig. 3.3 (Wang 2002). It has also been reported that single crystals of barium titanate exhibit negative temperature co-efficient of

In fact, PTCR materials can be divided into four groups: polymer composites, ceramic composites, V2O3 compounds and BaTiO3-based compounds (BaSrTiO3, BaPbTiO3…) (Wang 2002). Theoretical models of the PTCR effect have been proposed by both Heywang and Jonker. Both theories and experiments report that the effect is a grain-boundary related phenomenon (Park 2002). The grain boundaries of barium titanate show a large electrical resistance and PTCR results from the adsorbed oxygen at the grain boundaries. The porous ceramics exhibit large PTCR effect. According to Heywang, PTCR effect can be explained in

exp A / C.k (1- Tc / T) (3-3)

segregated acceptor ions or adsorbed oxygen at the grain boundaries. Sintering under vacuum or reducing gas atmosphere strongly reduces PTCR effect (Zhang, 2004).

Heywang explained PTCR effect in terms of potential barriers. The double Schottky barriers form at the grain boundaries. These barriers result from electron trapping by acceptor states at the interfaces. The acceptor states arise from segregated impurities at the grain boundaries or from adsorbed oxygen or from barium vacancies according to Heywang, Jonker and Daniels, respectively. Below Curie temperature in tetragonal BaTiO3, barium vacancies are neutral but above Curie temperature vacancies trap electrons and become activated to singly ionised barium vacancies. Thus a negatively charged region forms at the grain boundary and a positively charged space region forms adjacent to the boundaries. A potential barrier is created between these two regions. Since trapped electrons are not available for conduction, the electrical resistivity increases around Curie temperature (Steele, 1991).

Fig. 3.2 The height of the potential barrier and the electrical resistivity-temperature curve (Steele, 1991).

The height of the potential barrier, 0 (shown in Fig.3.2) is given by

$$\text{vọ} = \text{A } / \text{ } \text{ } \text{ε} = \text{A } / \text{ } \text{C } . \text{ (T-Tc)} \tag{3-1}$$

where A is a constant, is permittivity and Tc is the Curie temperature. Above Tc, the height of the potential barrier, 0 increases with decreasing (Steele, 1991). The electrical resistivity, is directly proportional to the height of the potential barrier according to

$$\mathfrak{p} \sim \exp\left(\mathfrak{q}\_{\mathbb{D}} / \,\mathrm{k}\,\mathrm{T}\right) \tag{3-2}$$

Thus the exponential increase of the electrical resistivity, is

78 Powder Metallurgy

segregated acceptor ions or adsorbed oxygen at the grain boundaries. Sintering under

Heywang explained PTCR effect in terms of potential barriers. The double Schottky barriers form at the grain boundaries. These barriers result from electron trapping by acceptor states at the interfaces. The acceptor states arise from segregated impurities at the grain boundaries or from adsorbed oxygen or from barium vacancies according to Heywang, Jonker and Daniels, respectively. Below Curie temperature in tetragonal BaTiO3, barium vacancies are neutral but above Curie temperature vacancies trap electrons and become activated to singly ionised barium vacancies. Thus a negatively charged region forms at the grain boundary and a positively charged space region forms adjacent to the boundaries. A potential barrier is created between these two regions. Since trapped electrons are not available for conduction, the electrical resistivity increases around Curie temperature

Fig. 3.2 The height of the potential barrier and the electrical resistivity-temperature curve

where A is a constant, is permittivity and Tc is the Curie temperature. Above Tc, the height of the potential barrier, 0 increases with decreasing (Steele, 1991). The electrical resistivity, is directly proportional to the height of the potential barrier according to

0 = A / = A / C . (T-Tc) (3-1)

exp ( 0 / k.T ) (3-2)

The height of the potential barrier, 0 (shown in Fig.3.2) is given by

vacuum or reducing gas atmosphere strongly reduces PTCR effect (Zhang, 2004).

(Steele, 1991).

(Steele, 1991).

$$\mathfrak{p} \sim \exp \, \text{A } / \, \text{C.k (1-Tc / T)}\tag{3-3}$$

The barrier height of BaTiO3 ceramics increases with increasing porosity. There is an exponential relationship between the resistance of PTCR ceramics and the barrier height. If the ferroelectric compensation of the ceramics at the room temperature is the same, the resistance of PTCR ceramics increases with increasing porosity. With the increase of porosity, the contact between individual grains looks more dispersed, which is helpful to diffusion of oxygen into the ceramic bulk and to oxidation of grain boundaries. A large PTCR jump is only possible for the samples sintered in an oxidizing atmosphere. The oxygen concentration at grain boundary is in direct proportion to PTCR effect of ceramics (Zhang, 2004).

Sintering under O2 atmosphere affects not only barrier height but the resistance and capacitance of grain boundaries. The effect is due to variation of the adsorbed gases at the grain boundaries. The diffusion coefficient of oxygen at grain boundary is much higher than that in bulk, which implies that there is a gradient of adsorbed oxygen density in the surface of the grain. Sintering under O2 atmosphere results in increasing number of oxygen acceptors at the grain boundary and increase in resistance. The barrier height also increases with sintering (Jiang, 2003).

#### **3.1 Barium titanate as PTCR thermistor**

Barium titanate, which has a perovskite structure, is a common ferroelectric material with a high dielectric constant, widely utilized to manufacture electronic components such as mutilayer capacitors (MLCs), PTC thermistors, piezoelectric transducers, and a variety of electro-optic devices. Dielectrics and insulators can be defined as materials with high electrical resistivities. A good dielectric is, of course, necessarily a good insulator, but the converse is by no means true (Wang 2002). Barium titanate (BaTiO3) is a ceramic material with a band gap of 3.05 eV at room temperature. Since the energy gap of barium titanate is large, it is an insulator when it is pure. It can be made n-type semiconductor when doped with donor dopants such as La3+ and Nb5+. Poly-crystalline *n*-type semiconducting barium titanate (BaTiO3) exhibits a behaviour known as the positive temperature coefficient of resistivity (PTCR) effect. The electrical resistivity of *n*-type semiconducting barium titanate increases by several orders of magnitude near the ferroelectric Curie temperature (120 ◦C) (Kim 2000). At the Curie temperature, barium titanate undergoes ferroelectric to paraelectric transition (Kim 2004). This behaviour is indicated in Fig. 3.3 (Wang 2002). It has also been reported that single crystals of barium titanate exhibit negative temperature co-efficient of resistivity (NTCR) properties.

In fact, PTCR materials can be divided into four groups: polymer composites, ceramic composites, V2O3 compounds and BaTiO3-based compounds (BaSrTiO3, BaPbTiO3…) (Wang 2002). Theoretical models of the PTCR effect have been proposed by both Heywang and Jonker. Both theories and experiments report that the effect is a grain-boundary related phenomenon (Park 2002). The grain boundaries of barium titanate show a large electrical resistance and PTCR results from the adsorbed oxygen at the grain boundaries. The porous ceramics exhibit large PTCR effect. According to Heywang, PTCR effect can be explained in

The Fabrication of Porous Barium Titanate Ceramics

heater (Wang 2002).

1150C.

available (Vijatovic et al., 2008).

**4. Humidity/gas sensing** 

(Pokhrel et al., 2003).

via Pore-Forming Agents (PFAs) for Thermistor and Sensor Applications 81

absorbed in the grain boundaries to form a depletion layer, and therefore that vacancy compensation (Ba compensation) was suppressed and the potential barrier was not built, the ceramic exhibited a poor PTCR effect. As the oxygen pressure increases, foreign ions are increasingly compensated by the oxidation process (formation of barium vacancies), and this Schottky barrier was formed between grains and grain boundaries to benefit the PTCR effect (Chen 2007). At low temperatures resistance is low since resistance is dominated by the grains. Above Curie temperature the resistivity of grain boundary increases PTC resistance. The disappearance of the domain structure above the tetragonalcubic/ferroelectric-paraelectric transition temperature (Tc) results in the energy barrier being raised at all the grain boundaries (Wegmann 2007). Positive temperature coefficient (PTC) materials prepared from doped semiconducting barium titanate ceramics can be used in various kind of electronic circuitry as a switching device or as a constant temperature

Fig. 3.4 The microstructure of BaTiO3 based PTCR materials sintered at (a) 800C and (b)

These PTC materials prepared from doped semiconducting BaTiO3 ceramics can be used in various kinds of electronic circuitry as a switching device or as a constant temperature heater. Other important application of a PTC thermistor is the measurement/detection/ control of temperature or parameters related to temperature. These PTC materials are known to have the highest temperature coefficient of resistance among all sensor materials

Even though the use of sensors is well established in process industries, agriculture, medicine, and many other areas, the development of new sensing materials with high sensing capabilities is proceeding at an unprecedented rate. Numerous materials have been utilized for humidity sensing, of which the metal oxides that are physically and chemically stable have been extensively investigated at both room and elevated temperatures. Sensors based on changes in resistance and capacitance, as shown in Fig.4.1, are preferred owing to their compact size, which could facilitate miniaturization required for electronic circuitry

Fig. 3.3 Typical resistivity behavior of a BaTiO3 –type PTCR material (Wang 2002).

terms of temperature-dependent Schottky-type grain boundary potential barriers. These potential barriers result from charge accumulation due to grain boundary acceptor states such as segregated acceptor ions or adsorbed oxygen at the grain boundaries.

When the pure BaTiO3 is sintered in air, the defect reaction is as follows:

$$1/2\text{O}\_2(\text{g}) = \text{O}\text{o}^\text{x} + \text{V}\_{\text{Ru}^\text{x}}\tag{3-4}$$

Because of the high oxygen pressure at grain boundary when samples are sintered in air, this reaction prefers to happen at the grain boundary rather than in the grain lattice.The neutral barium vacancy may be ionized by the electron that was introduced by the donor dopant.

$$\mathbf{V\_{Ru}} \mathbf{x} + \mathbf{2}\mathbf{e}\_{\bullet} = \mathbf{V\_{Ru}}^{\prime\prime} \tag{3-5}$$

or

$$\rm D\_2O\_3 + V\_{Ru} \rm = 2D\_{Ru}^{\circ} + V\_{Ru}^{\circ \prime} + 2Ov^{\circ} + 1/2O\_2(g) \tag{3-6}$$

In pure donor doped BaTiO3 ceramics (the microstructure is given in Fig. 3.4), the capturing of a free electron by neutral barium vacancy at the grain boundary during ferroelectric phase transition would respond for the PTCR effect (Qi, 2002).

PTCR effect can only be observed when barium titanate is sintered in air or oxidizing atmospheres. However, when it is sintered under vacuum or in reducing gas atmospheres, magnitude of the resistivity jump is reduced critically(Kim 2004). While the samples were annealed in reduced air (98% N2 + 2% H2), anion vacancies (oxygen vacancies) were generated and electron compensation would occur to maintain the electrical neutrality, increasing the conductivity of the ceramics. Heywang considered that no oxygen was

Fig. 3.3 Typical resistivity behavior of a BaTiO3 –type PTCR material (Wang 2002).

such as segregated acceptor ions or adsorbed oxygen at the grain boundaries.

When the pure BaTiO3 is sintered in air, the defect reaction is as follows:

phase transition would respond for the PTCR effect (Qi, 2002).

dopant.

or

terms of temperature-dependent Schottky-type grain boundary potential barriers. These potential barriers result from charge accumulation due to grain boundary acceptor states

 1/2O2(g) = Oox + VBax (3-4) Because of the high oxygen pressure at grain boundary when samples are sintered in air, this reaction prefers to happen at the grain boundary rather than in the grain lattice.The neutral barium vacancy may be ionized by the electron that was introduced by the donor

VBax + 2e- = VBa'' (3-5)

 D2O3 + VBax = 2DBa + VBa'' + 2Oox + 1/2O2(g) (3-6) In pure donor doped BaTiO3 ceramics (the microstructure is given in Fig. 3.4), the capturing of a free electron by neutral barium vacancy at the grain boundary during ferroelectric

PTCR effect can only be observed when barium titanate is sintered in air or oxidizing atmospheres. However, when it is sintered under vacuum or in reducing gas atmospheres, magnitude of the resistivity jump is reduced critically(Kim 2004). While the samples were annealed in reduced air (98% N2 + 2% H2), anion vacancies (oxygen vacancies) were generated and electron compensation would occur to maintain the electrical neutrality, increasing the conductivity of the ceramics. Heywang considered that no oxygen was absorbed in the grain boundaries to form a depletion layer, and therefore that vacancy compensation (Ba compensation) was suppressed and the potential barrier was not built, the ceramic exhibited a poor PTCR effect. As the oxygen pressure increases, foreign ions are increasingly compensated by the oxidation process (formation of barium vacancies), and this Schottky barrier was formed between grains and grain boundaries to benefit the PTCR effect (Chen 2007). At low temperatures resistance is low since resistance is dominated by the grains. Above Curie temperature the resistivity of grain boundary increases PTC resistance. The disappearance of the domain structure above the tetragonalcubic/ferroelectric-paraelectric transition temperature (Tc) results in the energy barrier being raised at all the grain boundaries (Wegmann 2007). Positive temperature coefficient (PTC) materials prepared from doped semiconducting barium titanate ceramics can be used in various kind of electronic circuitry as a switching device or as a constant temperature heater (Wang 2002).

Fig. 3.4 The microstructure of BaTiO3 based PTCR materials sintered at (a) 800C and (b) 1150C.

These PTC materials prepared from doped semiconducting BaTiO3 ceramics can be used in various kinds of electronic circuitry as a switching device or as a constant temperature heater. Other important application of a PTC thermistor is the measurement/detection/ control of temperature or parameters related to temperature. These PTC materials are known to have the highest temperature coefficient of resistance among all sensor materials available (Vijatovic et al., 2008).

#### **4. Humidity/gas sensing**

Even though the use of sensors is well established in process industries, agriculture, medicine, and many other areas, the development of new sensing materials with high sensing capabilities is proceeding at an unprecedented rate. Numerous materials have been utilized for humidity sensing, of which the metal oxides that are physically and chemically stable have been extensively investigated at both room and elevated temperatures. Sensors based on changes in resistance and capacitance, as shown in Fig.4.1, are preferred owing to their compact size, which could facilitate miniaturization required for electronic circuitry (Pokhrel et al., 2003).

The Fabrication of Porous Barium Titanate Ceramics

consequently increase the electronic conductivity.

Research Group Gas sensors).

required of a practical sensor (Wang and Virkar, 2004).

site A are susceptible to humidity (Agarwal and Sharma, 2002).

via Pore-Forming Agents (PFAs) for Thermistor and Sensor Applications 83

species, wide range of operating temperatures and fast response to the changes of humidity. The principle of humidity sensing by ceramic sensors is changes of electrical conduction or capacitance due to water chemisorption and/or capillary conduction in the pores. The important ceramic materials used for humidity sensing are TiO2, Mg2Al2O4, hematite, ZnC2O4, perovskites. Perovskites such as (Ba, Sr) TiO3 are protonic ionic conductors which have also been used for humidity sensing. In perovskite type oxides (ABO3), the atoms on

Perovskite oxides form a group of ceramics demonstrating a variety of interesting properties and promising applications. Some perovskite oxides, which are n-type semiconductors, such as doped SrTiO3 (Sr*x*La1−*<sup>x</sup>*TiO3), exhibit dependence of conductivity on humidity in the atmosphere they are exposed to. It has been proposed that H2O molecules adsorb on the surface, and the adsorbed H2O molecules can release electrons to the conduction band and

Fig. 4.2 A schematic picture of modern resistive semiconductor gas sensor (Aalto University,

This kind of response of electrical conductivity to humidity changes has been extensively investigated for application as humidity sensors. As the response is related to surface adsorption, humidity sensors made using such materials generally exhibit fast response. However, the electronic conductivity can also be influenced by other gaseous species as H2, CO, to name a few, which can be adsorbed along with H2O. As a result, there can be significant interference from other species, and such sensors do not exhibit the selectivity

Gas sensors as shown in Fig.4.2, are mostly n-type semiconductors. They detect reducing gases in air e.g leak detection in gas pipelines, indication of petrol vapour in filling stations or for alcohol tests in exhaled air. The working temperature of sensors are 200-600°C. The

These PTC materials are known to have a high temperature coefficient of resistance around Curie point and the ability of self-limiting, so they are as well come out to be a very useful device for sensor applications. The first semiconductor oxide gas sensors were reported by Seiyama et al. in 1962. Since then, there have been numerous studies concerning such oxide semiconductors as SnO2, ZnO2, In2O3, TiO2, Fe2O3, HfO2, and BaSnO3. They are nowadays widely used in the detection of gases. Semiconductor oxide gas sensors are extensively studied in order to improve their sensing characteristics, i.e., sensitivity, selectivity, stability, and response rate, to various kinds of gases and to meet the increasing needs of sensors in complicated systems and under strict conditions. A trial-and-error method is still mainly used in the development of new sensor materials to replace existing sensor materials (Park 2004). Metal-oxide-semiconductor (MOS) sensors operate on the basis of the modification of electrical conductivity of metal oxide layers, resulting from the interactions between O2−, O<sup>−</sup> and O2<sup>−</sup> species and gas molecules to be detected (Kim 2005).

It has been known that absorption or desorption of a gas on the surface of a metal oxide changes the conductivity of the material. The sensitivity of a surface to a gas can be as low as parts per billion (ppb). It is highly desirable that metal oxide semiconductor sensors have a large surface area, so as to adsorb as much of the target analyte as possible on the surface, giving a stronger and more measurable response (especially at low concentrations).

Fig. 4.1 Capacitive and resistive humidity sensors (Electronic Circuits and Projects Forum).

For n-type semiconductors, the majority charge carriers are electrons, and upon interaction with a reducing gas an increase in conductivity occurs. Conversely, an oxidising gas serves to deplete the sensing layer of charge carrying electrons, resulting in a decrease in conductivity (Fine 2010). Barium titanate is an n-type semiconductor which has humidity and gas (such as reducing gases) sensing properties (Park 2004, Wagiran 2005).

In recent years, solid state humidity sensors have been widely used for the measurement and control of humidity in an industrial or household environment. The relative humidity (RH), which is the ratio of actual vapour pressure of water to the saturated vapour pressure at a particular temperature, is commonly used to measure humidity. The sensor materials used are in general polymeric or ceramic. Ceramic humidity sensors are superior in performance to the polymeric type because of ist stability towards a variety of chemical

These PTC materials are known to have a high temperature coefficient of resistance around Curie point and the ability of self-limiting, so they are as well come out to be a very useful device for sensor applications. The first semiconductor oxide gas sensors were reported by Seiyama et al. in 1962. Since then, there have been numerous studies concerning such oxide semiconductors as SnO2, ZnO2, In2O3, TiO2, Fe2O3, HfO2, and BaSnO3. They are nowadays widely used in the detection of gases. Semiconductor oxide gas sensors are extensively studied in order to improve their sensing characteristics, i.e., sensitivity, selectivity, stability, and response rate, to various kinds of gases and to meet the increasing needs of sensors in complicated systems and under strict conditions. A trial-and-error method is still mainly used in the development of new sensor materials to replace existing sensor materials (Park 2004). Metal-oxide-semiconductor (MOS) sensors operate on the basis of the modification of electrical conductivity of metal oxide layers, resulting from the interactions between O2−, O<sup>−</sup>

It has been known that absorption or desorption of a gas on the surface of a metal oxide changes the conductivity of the material. The sensitivity of a surface to a gas can be as low as parts per billion (ppb). It is highly desirable that metal oxide semiconductor sensors have a large surface area, so as to adsorb as much of the target analyte as possible on the surface,

Fig. 4.1 Capacitive and resistive humidity sensors (Electronic Circuits and Projects Forum).

For n-type semiconductors, the majority charge carriers are electrons, and upon interaction with a reducing gas an increase in conductivity occurs. Conversely, an oxidising gas serves to deplete the sensing layer of charge carrying electrons, resulting in a decrease in conductivity (Fine 2010). Barium titanate is an n-type semiconductor which has humidity

In recent years, solid state humidity sensors have been widely used for the measurement and control of humidity in an industrial or household environment. The relative humidity (RH), which is the ratio of actual vapour pressure of water to the saturated vapour pressure at a particular temperature, is commonly used to measure humidity. The sensor materials used are in general polymeric or ceramic. Ceramic humidity sensors are superior in performance to the polymeric type because of ist stability towards a variety of chemical

and gas (such as reducing gases) sensing properties (Park 2004, Wagiran 2005).

giving a stronger and more measurable response (especially at low concentrations).

and O2<sup>−</sup> species and gas molecules to be detected (Kim 2005).

species, wide range of operating temperatures and fast response to the changes of humidity. The principle of humidity sensing by ceramic sensors is changes of electrical conduction or capacitance due to water chemisorption and/or capillary conduction in the pores. The important ceramic materials used for humidity sensing are TiO2, Mg2Al2O4, hematite, ZnC2O4, perovskites. Perovskites such as (Ba, Sr) TiO3 are protonic ionic conductors which have also been used for humidity sensing. In perovskite type oxides (ABO3), the atoms on site A are susceptible to humidity (Agarwal and Sharma, 2002).

Perovskite oxides form a group of ceramics demonstrating a variety of interesting properties and promising applications. Some perovskite oxides, which are n-type semiconductors, such as doped SrTiO3 (Sr*x*La1−*<sup>x</sup>*TiO3), exhibit dependence of conductivity on humidity in the atmosphere they are exposed to. It has been proposed that H2O molecules adsorb on the surface, and the adsorbed H2O molecules can release electrons to the conduction band and consequently increase the electronic conductivity.

Fig. 4.2 A schematic picture of modern resistive semiconductor gas sensor (Aalto University, Research Group Gas sensors).

This kind of response of electrical conductivity to humidity changes has been extensively investigated for application as humidity sensors. As the response is related to surface adsorption, humidity sensors made using such materials generally exhibit fast response. However, the electronic conductivity can also be influenced by other gaseous species as H2, CO, to name a few, which can be adsorbed along with H2O. As a result, there can be significant interference from other species, and such sensors do not exhibit the selectivity required of a practical sensor (Wang and Virkar, 2004).

Gas sensors as shown in Fig.4.2, are mostly n-type semiconductors. They detect reducing gases in air e.g leak detection in gas pipelines, indication of petrol vapour in filling stations or for alcohol tests in exhaled air. The working temperature of sensors are 200-600°C. The

The Fabrication of Porous Barium Titanate Ceramics

chemisorbed water layer as given below:

Grothuss's chain reaction (Agarwal and Sharma, 2002).

sintering temperature and time (Cosentino, 2003).

**5.1 The definition of porosity and porosity of ceramics** 

repeatability(Wang, 2000).

**5. Porous ceramics** 

given as

via Pore-Forming Agents (PFAs) for Thermistor and Sensor Applications 85

of view, one needs to further reduce the resistance of the resistive humidity sensor from 106 to 103, to minimize the humidity hysteresis and to increase the sensitivity and

Since water is a polar molecule, the negatively charged oxygen is electrostatically attached to the positively charged Ba2+ ions of the sensor material. The initial monolayer is chemisorbed due to the formation of a chemical bond under the influence of high electrostatic field between Ba2+ and oxygen of the water layer. This layer, once formed, is not further affected by exposure to humidity. The irreversible reaction for the first layer can be

 Ba2+ + H2O= Ba2+ - OH + H+ (3-8) Once the first layer is formed, subsequent layers of water molecules are physically adsorbed. This physically adsorbed water molecules dissociate because of the high electric fields in the

 2H2O= H3O+ + OH (3-9) The charge transport occurs when H3O+ ions release a proton to neighbouring water molecules which accepts it while releasing another proton and so on. This is known as

Porous ceramics find nowadays a large variety of applications in several devices like filters, acoustic absorbers, catalytic components, selective membranes, humidity sensors, among others. There are two main kinds of porous ceramics: reticulate ceramics and foam ceramics. The former consists of interconnected voids surrounded by a web of ceramic; the latter has closed voids within a continuous ceramic matrix. Various chemical routes, besides the conventional solid state reaction route, have been developed for obtaining porous ceramics without the use of additives to avoid unwanted impurities in the final ceramic piece. An attractive alternative route, due to its simplicity and low cost, is the polymeric precursor technique based on the Pechini's patent, that results in sinteractive homogeneous powders. Solid state sintering usually results in polycrystalline bodies with pores in the 100–1000 nm range. Graphite has also been used successfully for increasing pore volume in ceramics. In conventional ceramic sintering, by heating pressed powders, a porous network is usually formed in the spaces between the particles necks, porous stability being achieved by controlling the size of the particles. An easy way of controlling pore sizes during solid state sintering is to control particle sizes of the mixing powders as well as the sintering temperature and time. A previous dilatometric analysis enables one to choose the suitable

The ceramics are made up of ionic and covalent crystals. However, real crystals are not perfect but contain imperfections that are classified according to their geometry and shape. Vacancy is an example of point defect, dislocation is a line defect, grain boundary is a planar defect (Barsoum 1997). Pores are important features for the ceramics because powder

grains of the sintered body are covered by adsorbed oxygen. It withdraws electrons from the bulk, forming O2- ions at the surface. Charge carrier concentration in the grain volume decreases, potential barrier is formed at the grain boundaries. The electrical conductance is decreased by oxygen adsorbtion. The molecules of reducing gas interact with adsorbed oxygen lowering potantial barrier, increasing conductance of the sensor as follows

$$\text{2CO} + \text{O2} = \text{2CO}\_2 + \text{e}\_\text{-} \tag{3-7}$$

Numerous reducing gases like hydrogen, methane, CO, ethanol vapor, H2S can be determined in air (Gründler, 2007).

For humidity sensing, ceramic materials have mainly been used in the form of porous sintered bodies.Thus, controlling porosity and surface activity is of great importance in determining the humidity-sensitive electrical properties of ceramic products (Kim and Gong, 2005).

#### **4.1 Barium titanate as humidity/gas sensor**

Ceramic humidity sensors can be classified into the semiconducting and protonic (or ionic) type according to their conduction mechanism. The semiconducting type humidity sensor, operating at elevated temperature (300-400°C), was known to exchange charge carriers (eand h') between the adsorbed water molecule and ceramic body. While the protonic humidity sensor, usually operating at room temperature, employs protonic (H+) conduction on the surface of the sample as a sensing mechanism. Both sensors require porous ceramic body for the adsorption of water molecule (Hwang and Choi, 1997).

To make an improved humidity sensor, the microstructure and electrical conductivity of the material should properly be controlled. In general, ceramic humidity sensors are made to be porous and electrically resistive. In this respect, BaTiO3, as a protonic ceramic humidity sensor, has advantage in establishing the microstructure-property relation since the microstructure and conductivity of BaTiO3 can be easily controlled by varying the amount of donor dopant such as La and the processing conditions (Hwang and Choi, 1997).

Ceramic sensors are based on the adsorption of water molecules in the pores, and variations of the structure of the adsorbed layer, as a function of humidity. The sensing mechanism of barium titanate ceramic humidity sensors at room temperature can be explained using ionic conduction model. When few water molecules are available at low humidity, they chemisorb on grain surfaces of the ceramic to form hydroxyl groups as surface charge carriers. When initial water molecules are adsorbed, each water molecule is hydrogenbonded to two hydroxyls, and the dominant surface charge carriers will be H3O+. When still more water is adsorbed, clustering of the water molecules takes place, forming a liquid-like multilayer film of hydrogen-bonded water molecules, where each water molecule is only singly bonded to a hydroxyl group. Since dissociation of H3O+ into H2O and H+ is energetically favorable in liquid water, the dominant charge carrier in high moisture environment is H+. These processes result in progressively decreasing impedance of barium titanate ceramic when exposed to increasing humidity (Yuk and Troczynski, 2003).

Nanocrystalline BaTiO3 material has better humidity sensing properties than ceramic BaTiO3, such as lower resistance and high sensitivity. However, from the application point of view, one needs to further reduce the resistance of the resistive humidity sensor from 106 to 103, to minimize the humidity hysteresis and to increase the sensitivity and repeatability(Wang, 2000).

Since water is a polar molecule, the negatively charged oxygen is electrostatically attached to the positively charged Ba2+ ions of the sensor material. The initial monolayer is chemisorbed due to the formation of a chemical bond under the influence of high electrostatic field between Ba2+ and oxygen of the water layer. This layer, once formed, is not further affected by exposure to humidity. The irreversible reaction for the first layer can be given as

$$\rm Ba^{2\*} + H\_2O = Ba^{2\*} \cdot OH + H^\* \tag{3-8}$$

Once the first layer is formed, subsequent layers of water molecules are physically adsorbed. This physically adsorbed water molecules dissociate because of the high electric fields in the chemisorbed water layer as given below:

$$2\mathrm{H\_2O=H\_2O^+ + OH}\tag{3-9}$$

The charge transport occurs when H3O+ ions release a proton to neighbouring water molecules which accepts it while releasing another proton and so on. This is known as Grothuss's chain reaction (Agarwal and Sharma, 2002).

#### **5. Porous ceramics**

84 Powder Metallurgy

grains of the sintered body are covered by adsorbed oxygen. It withdraws electrons from the bulk, forming O2- ions at the surface. Charge carrier concentration in the grain volume decreases, potential barrier is formed at the grain boundaries. The electrical conductance is decreased by oxygen adsorbtion. The molecules of reducing gas interact with adsorbed

Numerous reducing gases like hydrogen, methane, CO, ethanol vapor, H2S can be

For humidity sensing, ceramic materials have mainly been used in the form of porous sintered bodies.Thus, controlling porosity and surface activity is of great importance in determining the humidity-sensitive electrical properties of ceramic products (Kim and

Ceramic humidity sensors can be classified into the semiconducting and protonic (or ionic) type according to their conduction mechanism. The semiconducting type humidity sensor, operating at elevated temperature (300-400°C), was known to exchange charge carriers (eand h') between the adsorbed water molecule and ceramic body. While the protonic humidity sensor, usually operating at room temperature, employs protonic (H+) conduction on the surface of the sample as a sensing mechanism. Both sensors require porous ceramic

To make an improved humidity sensor, the microstructure and electrical conductivity of the material should properly be controlled. In general, ceramic humidity sensors are made to be porous and electrically resistive. In this respect, BaTiO3, as a protonic ceramic humidity sensor, has advantage in establishing the microstructure-property relation since the microstructure and conductivity of BaTiO3 can be easily controlled by varying the amount

Ceramic sensors are based on the adsorption of water molecules in the pores, and variations of the structure of the adsorbed layer, as a function of humidity. The sensing mechanism of barium titanate ceramic humidity sensors at room temperature can be explained using ionic conduction model. When few water molecules are available at low humidity, they chemisorb on grain surfaces of the ceramic to form hydroxyl groups as surface charge carriers. When initial water molecules are adsorbed, each water molecule is hydrogenbonded to two hydroxyls, and the dominant surface charge carriers will be H3O+. When still more water is adsorbed, clustering of the water molecules takes place, forming a liquid-like multilayer film of hydrogen-bonded water molecules, where each water molecule is only singly bonded to a hydroxyl group. Since dissociation of H3O+ into H2O and H+ is energetically favorable in liquid water, the dominant charge carrier in high moisture environment is H+. These processes result in progressively decreasing impedance of barium

of donor dopant such as La and the processing conditions (Hwang and Choi, 1997).

titanate ceramic when exposed to increasing humidity (Yuk and Troczynski, 2003).

Nanocrystalline BaTiO3 material has better humidity sensing properties than ceramic BaTiO3, such as lower resistance and high sensitivity. However, from the application point

2CO + O2- = 2CO2 + e- (3-7)

oxygen lowering potantial barrier, increasing conductance of the sensor as follows

determined in air (Gründler, 2007).

**4.1 Barium titanate as humidity/gas sensor** 

body for the adsorption of water molecule (Hwang and Choi, 1997).

Gong, 2005).

Porous ceramics find nowadays a large variety of applications in several devices like filters, acoustic absorbers, catalytic components, selective membranes, humidity sensors, among others. There are two main kinds of porous ceramics: reticulate ceramics and foam ceramics. The former consists of interconnected voids surrounded by a web of ceramic; the latter has closed voids within a continuous ceramic matrix. Various chemical routes, besides the conventional solid state reaction route, have been developed for obtaining porous ceramics without the use of additives to avoid unwanted impurities in the final ceramic piece. An attractive alternative route, due to its simplicity and low cost, is the polymeric precursor technique based on the Pechini's patent, that results in sinteractive homogeneous powders. Solid state sintering usually results in polycrystalline bodies with pores in the 100–1000 nm range. Graphite has also been used successfully for increasing pore volume in ceramics. In conventional ceramic sintering, by heating pressed powders, a porous network is usually formed in the spaces between the particles necks, porous stability being achieved by controlling the size of the particles. An easy way of controlling pore sizes during solid state sintering is to control particle sizes of the mixing powders as well as the sintering temperature and time. A previous dilatometric analysis enables one to choose the suitable sintering temperature and time (Cosentino, 2003).

#### **5.1 The definition of porosity and porosity of ceramics**

The ceramics are made up of ionic and covalent crystals. However, real crystals are not perfect but contain imperfections that are classified according to their geometry and shape. Vacancy is an example of point defect, dislocation is a line defect, grain boundary is a planar defect (Barsoum 1997). Pores are important features for the ceramics because powder

The Fabrication of Porous Barium Titanate Ceramics

protectors in electric circuits. (Kim, 2002, 2003)

**5.2.1 The effect of PEG on PTCR properties** 

respectively as shown in Fig.5.3 (Kim, 2004).

decreased the grain sizes (Kim, 2002).

**5.2.2 The effect of starch based agents on PTCR properties** 

cm-3 (Zhang, 2004).

**PTCR applications** 

paragraphs.

via Pore-Forming Agents (PFAs) for Thermistor and Sensor Applications 87

where m0 is the dry weight of the samples, m1 is the weight after dipping into water for 4h. and fluid impregnation and m2 is the weight while immersed in water. mw is the weight of the wire used to suspend the samples in water, which is also measured in water. All weights are in grams. water is the density of water (in g cm -3), which is water = 1.0017-0.0002315T with T is water temperature in °C. The theoretical density of BaTiO3 is considered to be 6.0 g

Porous semiconducting BaTiO3 can be prepared by the thermal decomposition of barium titanyl oxalate BaTiO(C2O4)2.4H2O or by the incorporation of graphite, polyvinylalcohol (PVA), polyvinylbutyral (PVB), borides, silicides, carbides, partially oxidized Ti powders and potato-starch to BaTiO3. These BaTiO3 ceramics indicate large PTCR effects. Oxygen can be adsorbed at the grain boundaries due to the presence of pores. Porous ceramics are more favorable to the formation surface of acceptor states compared to dense ceramics. Porous thermistors show better heat resistance than dense ones and thus can be used as overcurrent

For PTCR applications, among these agents polymers, different kinds of starch and metallic additives can be employed. The polymer additives include polyvinylalcohol (PVA), polyvinylbutyral (PVB) and (PEG). The starch can be in the sort of potato or corn starch. Partially oxidized titanium can be another choice to enhance porosity. Carbon addition can also result in the porosity increase. For humidity sensing applications, graphite and PMMA additions can be made to enhance porosity. The effects of different groups of PFAs on the grain size, porosity, PTCR and sensing property of barium titanate ceramics will be mentioned in the following paragraphs. Some of the examples of PFAs are given below, the detailed data on all the PFAs will be presented in the following

Polyethylene glycol (PEG) with amount ranging from 1 to 20 wt.% was added to BaTiO3. The porosity and the grain size as shown in Fig. 5.2, of the n-BaTiO3 ceramic containing 5 wt.% PEG is 10.4 % and 6.3 μm, respectively, while it is 25.2 % and 5.0 μm, respectively for the sample containing 20 wt.% of PEG. The crystalline structure of the n-BaTiO3 ceramics at room temperature was tetragonal and independent on the PEG content. PTCR jump of BaTiO3 ceramics containing 1 and 20 wt.% of PEG was measured to be 2.84x105 and 6.76x105,

The potato-starch is another pore-former used in the production of BaTiO3 ceramics. 1-20 wt.% of potato-starch was employed to fabricate porous microstructure. The maximum porosity and minimum grain size was obtained for the sample containing 20 wt.% of potatostarch, which were 37.2% and 3.4 μm, respectively. Pore-former increased porosity and

**5.2 Different kinds of pore-forming agents for porous BaTiO3 fabrication** 

metallurgy methods i.e mixing, milling, shaping and sintering, always result in some amount of porosity. Fig.5.1 indicates atomic mechanisms occurring during sintering. The macroscopic driving force operative during sintering is the reduction of the excess energy associated with surfaces. This can happen by (1) reduction of the total surface area by an increase in the average size of the particles, which leads to coarsening and/or the elimination of solid/vapor interfaces and the creation of grain boundary area, followed by grain growth, which leads to densification (Barsoum 1997).

Pores are three dimensional or volume defects along with cracks, precipitates and particles. Pores generally contain some gas inside them. The reason for this is the employment of an sintering atmosphere during processing. However, it is regarded as a vacuum for simplicity. Pores might be present inside the matrix phase i.e isolated pores and surfaces or they might be located at the grain boundaries and grain junctions.

Fig. 5.1 Different diffusion mechanisms involved in sintering. The grain boundary and bulk diffusion (1, 2 and 5) to the neck contribute to densification. Evaporation-condensation (4) and surface diffusion (3) do not contribute to densification (Chiang 1997).

Three quantitites relating to pores are important; the size of the pores, distribution of porosity and total amount of porosity. The shape of the pores is less important. By knowing the constituent phases of the ceramic, theoretical and actual densities can be used to obtain porosity. Mercury intrusion porosimetry can be used to determine pore size and porosity distribution (Carter 2007).

Pores are usually quite deleterious to the strength of ceramics not only because they reduce the cross-sectional area over which the load is applied, but more importantly because they act as stress concentrators (Barsoum 1997). First, they produce stress concentrations. Once the stress reaches a critical level, a crack will form and propagate. Because ceramics possess no plastic-deformation, once a crack is initiated (started), it propagates (grows) until fracture occurs. Second, pores (i.e., their size, shape, and amount) reduce the strength of ceramics because they reduce the cross-sectional areas over which a load can be applied and, consequently, lower the stress that these materials can support (Jacobs 2001).

Porosity can be converted from the density of the ceramics, measured by Archimedes' principle. The density can be calculated from the weight determinations as follows:

$$\mathfrak{g} = \{ \mathbf{m}\_0 \,/\, \left[ \mathbf{m}\_1 \, \text{--} \left( \mathbf{m}\_2 - \mathbf{m}\_\mathbf{w} \right) \right] \} \times \mathfrak{g}\_{\text{water}} \tag{5-1}$$

where m0 is the dry weight of the samples, m1 is the weight after dipping into water for 4h. and fluid impregnation and m2 is the weight while immersed in water. mw is the weight of the wire used to suspend the samples in water, which is also measured in water. All weights are in grams. water is the density of water (in g cm -3), which is water = 1.0017-0.0002315T with T is water temperature in °C. The theoretical density of BaTiO3 is considered to be 6.0 g cm-3 (Zhang, 2004).

#### **5.2 Different kinds of pore-forming agents for porous BaTiO3 fabrication**

#### **PTCR applications**

86 Powder Metallurgy

metallurgy methods i.e mixing, milling, shaping and sintering, always result in some amount of porosity. Fig.5.1 indicates atomic mechanisms occurring during sintering. The macroscopic driving force operative during sintering is the reduction of the excess energy associated with surfaces. This can happen by (1) reduction of the total surface area by an increase in the average size of the particles, which leads to coarsening and/or the elimination of solid/vapor interfaces and the creation of grain boundary area, followed by

Pores are three dimensional or volume defects along with cracks, precipitates and particles. Pores generally contain some gas inside them. The reason for this is the employment of an sintering atmosphere during processing. However, it is regarded as a vacuum for simplicity. Pores might be present inside the matrix phase i.e isolated pores and surfaces or they might

Fig. 5.1 Different diffusion mechanisms involved in sintering. The grain boundary and bulk diffusion (1, 2 and 5) to the neck contribute to densification. Evaporation-condensation (4)

Three quantitites relating to pores are important; the size of the pores, distribution of porosity and total amount of porosity. The shape of the pores is less important. By knowing the constituent phases of the ceramic, theoretical and actual densities can be used to obtain porosity. Mercury intrusion porosimetry can be used to determine pore size and porosity

Pores are usually quite deleterious to the strength of ceramics not only because they reduce the cross-sectional area over which the load is applied, but more importantly because they act as stress concentrators (Barsoum 1997). First, they produce stress concentrations. Once the stress reaches a critical level, a crack will form and propagate. Because ceramics possess no plastic-deformation, once a crack is initiated (started), it propagates (grows) until fracture occurs. Second, pores (i.e., their size, shape, and amount) reduce the strength of ceramics because they reduce the cross-sectional areas over which a load can be applied and,

Porosity can be converted from the density of the ceramics, measured by Archimedes'

= {m0 / [m1 - ( m2 – mw )]} x water (5-1)

and surface diffusion (3) do not contribute to densification (Chiang 1997).

consequently, lower the stress that these materials can support (Jacobs 2001).

principle. The density can be calculated from the weight determinations as follows:

grain growth, which leads to densification (Barsoum 1997).

be located at the grain boundaries and grain junctions.

distribution (Carter 2007).

Porous semiconducting BaTiO3 can be prepared by the thermal decomposition of barium titanyl oxalate BaTiO(C2O4)2.4H2O or by the incorporation of graphite, polyvinylalcohol (PVA), polyvinylbutyral (PVB), borides, silicides, carbides, partially oxidized Ti powders and potato-starch to BaTiO3. These BaTiO3 ceramics indicate large PTCR effects. Oxygen can be adsorbed at the grain boundaries due to the presence of pores. Porous ceramics are more favorable to the formation surface of acceptor states compared to dense ceramics. Porous thermistors show better heat resistance than dense ones and thus can be used as overcurrent protectors in electric circuits. (Kim, 2002, 2003)

For PTCR applications, among these agents polymers, different kinds of starch and metallic additives can be employed. The polymer additives include polyvinylalcohol (PVA), polyvinylbutyral (PVB) and (PEG). The starch can be in the sort of potato or corn starch. Partially oxidized titanium can be another choice to enhance porosity. Carbon addition can also result in the porosity increase. For humidity sensing applications, graphite and PMMA additions can be made to enhance porosity. The effects of different groups of PFAs on the grain size, porosity, PTCR and sensing property of barium titanate ceramics will be mentioned in the following paragraphs. Some of the examples of PFAs are given below, the detailed data on all the PFAs will be presented in the following paragraphs.

#### **5.2.1 The effect of PEG on PTCR properties**

Polyethylene glycol (PEG) with amount ranging from 1 to 20 wt.% was added to BaTiO3. The porosity and the grain size as shown in Fig. 5.2, of the n-BaTiO3 ceramic containing 5 wt.% PEG is 10.4 % and 6.3 μm, respectively, while it is 25.2 % and 5.0 μm, respectively for the sample containing 20 wt.% of PEG. The crystalline structure of the n-BaTiO3 ceramics at room temperature was tetragonal and independent on the PEG content. PTCR jump of BaTiO3 ceramics containing 1 and 20 wt.% of PEG was measured to be 2.84x105 and 6.76x105, respectively as shown in Fig.5.3 (Kim, 2004).

#### **5.2.2 The effect of starch based agents on PTCR properties**

The potato-starch is another pore-former used in the production of BaTiO3 ceramics. 1-20 wt.% of potato-starch was employed to fabricate porous microstructure. The maximum porosity and minimum grain size was obtained for the sample containing 20 wt.% of potatostarch, which were 37.2% and 3.4 μm, respectively. Pore-former increased porosity and decreased the grain sizes (Kim, 2002).

The Fabrication of Porous Barium Titanate Ceramics

via Pore-Forming Agents (PFAs) for Thermistor and Sensor Applications 89

 (a) (b)

(c) (d)

Fig. 5.3 PTCR properties of barium titanate ceramics with the addition of (a) PEG (Kim, 2004), (b) TiO2 (Kim et al, , 2002), (c) potato-starch (Kim, 2002) and (d) graphite (Park, 2004).

(a) (b)

(c) (d)

Fig. 5.2 Porous microstructures of barium titanate ceramics with the addition of (a) PEG (Kim, 2004) , (b) TiO2 (Kim et al, , 2002), (c) corn-starch (Kim, 2002) and (d) potato-starch (Kim, 2002).

1-20 wt.% of corn-starch was added into BaTiO3 to produce porosity. The cavities formed due to the burning-out of corn-starch during sintering act as the sites of the pore generations as shown in Fig.5.2. The maximum porosity and minimum grain size, which were 44.0% and 3.1 μm, respectively was measured for the sample containing highest amount of corn-starch. The samples containing corn-starch had a tetragonal crystal structure. The addition of cornstarch into Sb-doped BaTiO3 ceramics results in fine microstructures (3.1-3.8 μm). The porosity and pore size increase and the grain size slightly decreases with corn-starch. The porosity increases from 7.2 to 44% with corn-starch content from 0 to 20wt.%. The grain size changed from 4.8 to 3.1μm. These porous ceramics are advantageous to oxidize grain boundaries and to produce surface acceptor states (Kim, 2002).

The PTCR jump of the Sb-doped BaTiO3 ceramics with corn-starch is observed to be over 106 and 1–2 orders of magnitude higher than that of samples without corn-starch as given in Fig.5.3. The donor concentration i.e. Sb and grain size decrease and the electrical barrier height of grain boundaries and the porosity increase with corn-starch content. As a result, room-temperature resistivity increases with pore-forming agent content. The grain

 (a) (b)

 (c) (d)

Fig. 5.2 Porous microstructures of barium titanate ceramics with the addition of (a) PEG (Kim, 2004) , (b) TiO2 (Kim et al, , 2002), (c) corn-starch (Kim, 2002) and (d) potato-starch

boundaries and to produce surface acceptor states (Kim, 2002).

1-20 wt.% of corn-starch was added into BaTiO3 to produce porosity. The cavities formed due to the burning-out of corn-starch during sintering act as the sites of the pore generations as shown in Fig.5.2. The maximum porosity and minimum grain size, which were 44.0% and 3.1 μm, respectively was measured for the sample containing highest amount of corn-starch. The samples containing corn-starch had a tetragonal crystal structure. The addition of cornstarch into Sb-doped BaTiO3 ceramics results in fine microstructures (3.1-3.8 μm). The porosity and pore size increase and the grain size slightly decreases with corn-starch. The porosity increases from 7.2 to 44% with corn-starch content from 0 to 20wt.%. The grain size changed from 4.8 to 3.1μm. These porous ceramics are advantageous to oxidize grain

The PTCR jump of the Sb-doped BaTiO3 ceramics with corn-starch is observed to be over 106 and 1–2 orders of magnitude higher than that of samples without corn-starch as given in Fig.5.3. The donor concentration i.e. Sb and grain size decrease and the electrical barrier height of grain boundaries and the porosity increase with corn-starch content. As a result, room-temperature resistivity increases with pore-forming agent content. The grain

(Kim, 2002).

Fig. 5.3 PTCR properties of barium titanate ceramics with the addition of (a) PEG (Kim, 2004), (b) TiO2 (Kim et al, , 2002), (c) potato-starch (Kim, 2002) and (d) graphite (Park, 2004).

The Fabrication of Porous Barium Titanate Ceramics

**Humidity/Gas sensing Applications** 

1200-1500°C for 2-6h.

study on PTCR properties.

al., 2005).

2005).

via Pore-Forming Agents (PFAs) for Thermistor and Sensor Applications 91

TiO2(Ti) powders with various contents (0-9 vol%) were added to (Ba,Sr)TiO3 in vacuum. Vacuum-sintered ceramics were exposed to paste-baking treatment in air in order to make oxygen adsorption possible at the grain boundaries. The porosity increased and grain size decreased by the addition of TiO2(Ti) powders. The interfaces between TiO2(Ti) powder of a large size and BaTiO3 powder of a small size provide the sites of the pore generations, resulting in porosity increase. 46.0% and 1.0μm are the porosity and grain size values, respectively for the sample containing 9 vol% of TiO2(Ti). Small grain size may be due to a decrease in the driving force for the grain boundary movement with TiO2(Ti) addition. TiO2(Ti) addition and vacuum sintering (low oxygen content and small grain size) transformed the tetragonal crystal structure of BaTiO3 to cubic. (Ba,Sr)TiO3 ceramics containing 5 vol% of TiO2(Ti) showed excellent PTCR characteristic, i.e. low roomtemperature resistivity (1.8x1012 Ωcm) and the high ratio of maximum resistivity to

The effect of graphite addition on grain size, porosity and humidity sensing properties was investigated. Four different graphite containing compositions (C-1/C-4) were sintered at

The graphite addition increased the grain size of the donor doped samples due to heat generated by the exothermic reactions of carbon combustion. However, the grain size decreased by further addition of graphite powder, because of the graphite segregation at the grain boundaries (Ertug et al., 2005). This result is in good agreement with (Park, 2004)'s

The addition of graphite resulted in a porous microstructure as shown in Fig.5.4. The maximum grain size was measured for the sample (BTLC-1) sintered at 1500°C for 6h. and it was 15.7 μm. Upon sintering at 1500°C for 6h., the grain size of BTLC-4 composition reached 13.3 μm. The grain size decreased drastically when the sintering temperature was decreased from 1500°C to 1200°C for 2-6h. For the sample sintered at 1200°C for 6h., the grain size was measured to be 5.7 and 5 μm for BTLC-1 and BTLC-4 compositions, respectively (Ertug et

The porosity percentage of the graphite containing compositions changed dramatically when the sintering temperature was increased from 1200 to 1500°C. The porosity change was slight between 1200-1400°C however after sintering at 1500°C, most of the porosity in the microstructure was eliminated and dense samples were obtained (Ertug et al., 2005).

The minimum porosity percentage was measured for the sample (BTLC-1) sintered at 1500°C for 6h. and it was 12 %. When graphite addition was increased from 3.5 to 6.5%, the porosity percentage changed from 59 to 64.9 %upon sintering at 1200°C for 6h (Ertug et al.,

The humidity sensing properties of graphite containing compositions were given in Fig.5.5 and 5.6. The transfer function of the humidity sensitive samples, which were sintered at 1200°C was of exponential type. At the low humidity percentages, the electrical resistance decreased with relative humidity linearly. When the relative humidity increased beyond the

minimum resistivity (1.5x1016) as shown in Fig. 5.3 (Kim et al, , 2002).

**5.2.5 The effect of graphite agents on humidity sensing** 

boundary resistivity contributes largely to the total resistivity. The electrical resistivity of grain boundaries significantly depends on the porosity. It can be deduced from this study that, adsorption of chemically adsorbed oxygen atoms at the grain-boundaries increases potential barrier height. Thus electrical resistivity of grain boundaries increases contributing to total resistivity and resulting in a PTCR effect (Kim, 2002).

The electrical resistivities of Sb doped BaTiO3 ceramics were measured during heating under different atmospheres. The high-temperature resistivity under O2 was higher than that under both air and reducing atmospheres of N2 and H2. The low resistivities obtained at high temperatures in reducing atmospheres were due to desorption of chemisorbed oxygen at the grain boundaries, decreasing potential barrier height. Besides, N2 and H2 gases diffuse along the grain boundaries and react with chemisorbed oxygen atoms thus chemisorbed oxygen is consumed and conduction electrons are released. This leads to a decrease in potential barrier and as a result, PTCR effects were degraded.

The room-temperature resistivity of porous samples increased with corn-starch content. The room-temperature and high temperature (above Curie temperature) resistivity values were measured to be 1.37x102 and 1.52x108 Ωcm, respectively for the sample containing 1 wt.% of corn-starch. For the rest of the samples, high-temperature resistivities were well above 10 8 ohmcm. Besides, the resistivities of the grain boundaries increased with increasing temperature. The room-temperature and high-temperature resistivities were measured to be 3.52x102 and 2.79x108 Ωcm for the sample containing 1 wt.% of potato-starch. PTCR jump was determined to be 7.93x105 for the same composition. The grain boundary resistivity jump was 1.22x103 for this sample (Kim, 2002).

#### **5.2.3 The effect of graphite agents on PTCR properties**

0.3-2.0 mol of C (as graphite powder) was added to Sb doped BaTiO3 to produce porous ceramics. As-sintered samples indicated tetragonal perovskite crystal structure, irrespective of the added graphite content. The porosity of the ceramics increased with graphite addition by an enhanced evolution of CO and CO2 gases associated with the exothermic reactions. The highest porosity was determined to be 18.3%. The grain growth occurred during sintering due to exothermic reactions and maximum grain size obtained was 160.7 μm. However, as the graphite content increased, the grain sizes decreased. This is because the existing graphites act as barriers to inhibit the grain growth during sintering, reducing the grain size (Park, 2004).

The addition of graphite into BaTiO3 substantially improved PTCR characteristics. For the sample containing highest graphite, the maximum resistivity above Curie temperature was measured to be above 108 Ωcm and PTCR jump was above 1.2x103. The maximum roomtemperature resistivity was measured for this sample, which was 1.35x104 Ωcm and PTCR jump was 5.86x103. The magnitude of the PTCR effect of samples containing graphite increased by 1-2 orders compared to the sample without porosifier as shown in Fig. 5.3. For the porous samples, fast response to overcurrent (below 20s) was achieved (Park, 2004).

#### **5.2.4 The effect of metallic agents on PTCR properties**

Partially oxidized Ti powders were used as pore-former in a study of Kim, Cho and Park. Ti powders were heated at 600°C for 1h in flowing oxygen gas and were covered with TiO2. TiO2(Ti) powders with various contents (0-9 vol%) were added to (Ba,Sr)TiO3 in vacuum. Vacuum-sintered ceramics were exposed to paste-baking treatment in air in order to make oxygen adsorption possible at the grain boundaries. The porosity increased and grain size decreased by the addition of TiO2(Ti) powders. The interfaces between TiO2(Ti) powder of a large size and BaTiO3 powder of a small size provide the sites of the pore generations, resulting in porosity increase. 46.0% and 1.0μm are the porosity and grain size values, respectively for the sample containing 9 vol% of TiO2(Ti). Small grain size may be due to a decrease in the driving force for the grain boundary movement with TiO2(Ti) addition. TiO2(Ti) addition and vacuum sintering (low oxygen content and small grain size) transformed the tetragonal crystal structure of BaTiO3 to cubic. (Ba,Sr)TiO3 ceramics containing 5 vol% of TiO2(Ti) showed excellent PTCR characteristic, i.e. low roomtemperature resistivity (1.8x1012 Ωcm) and the high ratio of maximum resistivity to minimum resistivity (1.5x1016) as shown in Fig. 5.3 (Kim et al, , 2002).

#### **Humidity/Gas sensing Applications**

90 Powder Metallurgy

boundary resistivity contributes largely to the total resistivity. The electrical resistivity of grain boundaries significantly depends on the porosity. It can be deduced from this study that, adsorption of chemically adsorbed oxygen atoms at the grain-boundaries increases potential barrier height. Thus electrical resistivity of grain boundaries increases contributing

The electrical resistivities of Sb doped BaTiO3 ceramics were measured during heating under different atmospheres. The high-temperature resistivity under O2 was higher than that under both air and reducing atmospheres of N2 and H2. The low resistivities obtained at high temperatures in reducing atmospheres were due to desorption of chemisorbed oxygen at the grain boundaries, decreasing potential barrier height. Besides, N2 and H2 gases diffuse along the grain boundaries and react with chemisorbed oxygen atoms thus chemisorbed oxygen is consumed and conduction electrons are released. This leads to a decrease in

The room-temperature resistivity of porous samples increased with corn-starch content. The room-temperature and high temperature (above Curie temperature) resistivity values were measured to be 1.37x102 and 1.52x108 Ωcm, respectively for the sample containing 1 wt.% of corn-starch. For the rest of the samples, high-temperature resistivities were well above 10 8 ohmcm. Besides, the resistivities of the grain boundaries increased with increasing temperature. The room-temperature and high-temperature resistivities were measured to be 3.52x102 and 2.79x108 Ωcm for the sample containing 1 wt.% of potato-starch. PTCR jump was determined to be 7.93x105 for the same composition. The grain boundary resistivity

0.3-2.0 mol of C (as graphite powder) was added to Sb doped BaTiO3 to produce porous ceramics. As-sintered samples indicated tetragonal perovskite crystal structure, irrespective of the added graphite content. The porosity of the ceramics increased with graphite addition by an enhanced evolution of CO and CO2 gases associated with the exothermic reactions. The highest porosity was determined to be 18.3%. The grain growth occurred during sintering due to exothermic reactions and maximum grain size obtained was 160.7 μm. However, as the graphite content increased, the grain sizes decreased. This is because the existing graphites act as barriers to inhibit the grain growth during sintering, reducing the

The addition of graphite into BaTiO3 substantially improved PTCR characteristics. For the sample containing highest graphite, the maximum resistivity above Curie temperature was measured to be above 108 Ωcm and PTCR jump was above 1.2x103. The maximum roomtemperature resistivity was measured for this sample, which was 1.35x104 Ωcm and PTCR jump was 5.86x103. The magnitude of the PTCR effect of samples containing graphite increased by 1-2 orders compared to the sample without porosifier as shown in Fig. 5.3. For the porous samples, fast response to overcurrent (below 20s) was achieved (Park, 2004).

Partially oxidized Ti powders were used as pore-former in a study of Kim, Cho and Park. Ti powders were heated at 600°C for 1h in flowing oxygen gas and were covered with TiO2.

to total resistivity and resulting in a PTCR effect (Kim, 2002).

potential barrier and as a result, PTCR effects were degraded.

jump was 1.22x103 for this sample (Kim, 2002).

grain size (Park, 2004).

**5.2.3 The effect of graphite agents on PTCR properties** 

**5.2.4 The effect of metallic agents on PTCR properties** 

#### **5.2.5 The effect of graphite agents on humidity sensing**

The effect of graphite addition on grain size, porosity and humidity sensing properties was investigated. Four different graphite containing compositions (C-1/C-4) were sintered at 1200-1500°C for 2-6h.

The graphite addition increased the grain size of the donor doped samples due to heat generated by the exothermic reactions of carbon combustion. However, the grain size decreased by further addition of graphite powder, because of the graphite segregation at the grain boundaries (Ertug et al., 2005). This result is in good agreement with (Park, 2004)'s study on PTCR properties.

The addition of graphite resulted in a porous microstructure as shown in Fig.5.4. The maximum grain size was measured for the sample (BTLC-1) sintered at 1500°C for 6h. and it was 15.7 μm. Upon sintering at 1500°C for 6h., the grain size of BTLC-4 composition reached 13.3 μm. The grain size decreased drastically when the sintering temperature was decreased from 1500°C to 1200°C for 2-6h. For the sample sintered at 1200°C for 6h., the grain size was measured to be 5.7 and 5 μm for BTLC-1 and BTLC-4 compositions, respectively (Ertug et al., 2005).

The porosity percentage of the graphite containing compositions changed dramatically when the sintering temperature was increased from 1200 to 1500°C. The porosity change was slight between 1200-1400°C however after sintering at 1500°C, most of the porosity in the microstructure was eliminated and dense samples were obtained (Ertug et al., 2005).

The minimum porosity percentage was measured for the sample (BTLC-1) sintered at 1500°C for 6h. and it was 12 %. When graphite addition was increased from 3.5 to 6.5%, the porosity percentage changed from 59 to 64.9 %upon sintering at 1200°C for 6h (Ertug et al., 2005).

The humidity sensing properties of graphite containing compositions were given in Fig.5.5 and 5.6. The transfer function of the humidity sensitive samples, which were sintered at 1200°C was of exponential type. At the low humidity percentages, the electrical resistance decreased with relative humidity linearly. When the relative humidity increased beyond the

The Fabrication of Porous Barium Titanate Ceramics

(Ertug, 2008).


Log

(S/m)

(Ertug, 2008).




Log

(S/m)



region (Ertug, 2008).

via Pore-Forming Agents (PFAs) for Thermistor and Sensor Applications 93

BTLC-1122 BTLC-4122

Fig. 5.5 The humidity sensing property of graphite containing samples sintered at 1200°C

0 20 40 60 80 100 Relative Humidity (%)

BTLC-1152 BTLC-4152

Fig. 5.6 The humidity sensing property of graphite containing samples sintered at 1500°C

The transfer functions of the barium titanate samples changed with sintering temperature. When the samples were sintered at 1200°C, the transfer function was exponential. However, when the sintering temperature was increased to 1500°C, the transfer function of the composition containing lower PMMA, included a dead band region where at low relative humidity, the electrical resistance remained constant with humidity. The dead band region was valid up to 40% of relative humidity. As shown in Fig.5.7., the composition which contained higher amount of PMMA, did not show a certain dead band

0 20 40 60 80 100 Relative Humidity (%)

Fig. 5.4 The porous microstructures of graphite containing barium titanate samples (Ertug, 2008).

(c) (d)

critical value, the electrical resistance-relative humidity curve became exponential. The minimum electrical resistance was measured for the samples which contain higher porosity percentages. When the content of the graphite was increased, the transfer function of the humidity sensitive sample did not change, i.e exponentail curve. However, the electrical resistance values indicated a slight decrease due to higher porosity percentage (Ertug, 2008).

When the samples were sintered at 1500°C, porosity percentages decreased by a great amount. As shown in Fig.5.6, as-sintered samples did not exhibit a change in the electrical resistance with relative humidity (Ertug, 2008).

#### **5.2.6 The effect of PMMA agent on humidity sensing**

The three different barium titanate compositions containing PMMA as pore forming agent were investigated. The samples were sintered at 1200-1500°C for 2-6h. The grain size of the samples decreased with PMMA content. The maximum grain size was measured for the sample sintered at 1500°C for 6h. and it was 14.87 μm. The maximum porosity was determined for the sample containing maximum PMMA amount, which was 53.5 %(Ertug, 2006).

(a) (b)

(c) (d)

Fig. 5.4 The porous microstructures of graphite containing barium titanate samples (Ertug,

critical value, the electrical resistance-relative humidity curve became exponential. The minimum electrical resistance was measured for the samples which contain higher porosity percentages. When the content of the graphite was increased, the transfer function of the humidity sensitive sample did not change, i.e exponentail curve. However, the electrical resistance values indicated a slight decrease due to higher porosity percentage (Ertug, 2008). When the samples were sintered at 1500°C, porosity percentages decreased by a great amount. As shown in Fig.5.6, as-sintered samples did not exhibit a change in the electrical

The three different barium titanate compositions containing PMMA as pore forming agent were investigated. The samples were sintered at 1200-1500°C for 2-6h. The grain size of the samples decreased with PMMA content. The maximum grain size was measured for the sample sintered at 1500°C for 6h. and it was 14.87 μm. The maximum porosity was determined

for the sample containing maximum PMMA amount, which was 53.5 %(Ertug, 2006).

2008).

resistance with relative humidity (Ertug, 2008).

**5.2.6 The effect of PMMA agent on humidity sensing** 

Fig. 5.5 The humidity sensing property of graphite containing samples sintered at 1200°C (Ertug, 2008).

Fig. 5.6 The humidity sensing property of graphite containing samples sintered at 1500°C (Ertug, 2008).

The transfer functions of the barium titanate samples changed with sintering temperature. When the samples were sintered at 1200°C, the transfer function was exponential. However, when the sintering temperature was increased to 1500°C, the transfer function of the composition containing lower PMMA, included a dead band region where at low relative humidity, the electrical resistance remained constant with humidity. The dead band region was valid up to 40% of relative humidity. As shown in Fig.5.7., the composition which contained higher amount of PMMA, did not show a certain dead band region (Ertug, 2008).

The Fabrication of Porous Barium Titanate Ceramics

**7. Acknowledgment** 

ITU.

in my studies.

**8. References** 

211.

411.

titanate based humidity sensors.

via Pore-Forming Agents (PFAs) for Thermistor and Sensor Applications 95

improvement of porosity is another requirement for PTCR and sensor applications. Porous barium titanate ceramics are generally fabricated using different kinds of pore-forming agents (PFAs). The fabrication process is carried out using powder metallurgy methods namely mixing with PFAs, shaping and sintering. PFAs, which are used for porous barium titanate fabrication, can be grouped into several categories depending on the type of the pore-former. Polymeric agents, metallic agents, starch-based agents and carbon-based agents. An additional binder burn out step is employed for some of the pore-formers such as PEG and direct sintering is done for other pore-formers such as starch and graphite. The pore-forming mechanisms of several PFAs are different from each other. When oxidized Ti powders are used as PFAs, the difference in the powder size of TiO2 (18μm) and BaTiO3 (1m) powders lead to pore generation. However, gas evolution during the burning of carbon results in porosity when graphite PFA is used. When polymeric agents are used to produce porosity, organic components are pyrolized upon binder removal process. The porosity improvement by PFAs lead to humidity or reducing gas sensitivity of barium titanate based ceramics. Besides, the oxidation of the grain boundaries are enhanced by porosity increase which in turn improves PTCR property. Brand new PFAs such as several polymeric agents, can be used to produce porous barium titanate or known to be effective PFAs can be applied to it in order to produce more sensitive sensors or to obtain more pronounced PTCR effect in BaTiO3. The effect of PFAs on the porosity (and pore size) and grain size of barium titanate ceramics and also the different pore-forming mechanisms of PFAs are currently open to

further investigation since this particular area is based on trial and error method.

Dedicated to my beloved sister, Deniz for supporting me through my academic life.

I wish to thank my Ph.D. thesis advisor Prof.Dr. A. Okan Addemir at the Istanbul Technical University, who enabled the beginning and the completion of the work on porous barium

I would like to express my gratitude to Assistant Prof. Dr. Tahsin Boyraz at Cumhuriyet University, who gave me the idea of working on and writing a book chapter on powder metallurgy. I truly appreciated all the time and advice he gave me throughout my time at

I also wish to thank my collegue at ITU, Gülten Sadullahoğlu, Ph.D. for her constant support

Agarwal, S. and Sharma, G.L. (2002). Humidity sensing Properties Of (Ba, Sr)TiO3 thin films

Barsoum, M.W. (1997). *Fundamentals Of Ceramics,* The McGraw-Hill Companies, Inc., pp.149-

Brook, R.J. (1991). *Concise Encyclopedia of Advanced Ceramic Materials,* Pergamon Press. Carter, C.B. and Norton, M.G. (2007). *Ceramic Materials Science and Engineering,* Springer

Science + Business Media LLC, pp. 277-279.

grown by hydrothermal-electrochemical method*, Sensors and Actuators B,* 85, 205-

Fig. 5.7 The humidity sensing property of PMMA containing samples sintered at 1200°C (Ertug, 2008).

Fig. 5.8 The humidity sensing property of PMMA containing samples sintered at 1500°C (Ertug, 2008).

However, the electrical resistance did not change very much with relative humidity up to 40% of relative humidity. A clear drop in the electrical resistance was observed only after 60% of relative humidity (Ertug, 2008).

#### **6. Conclusion**

n-type semiconducting barium titanate ceramics have applications as thermistors and sensors. For barium titanate in order to exhibit PTCR and gas (or humidity) sensing property, first donor doping by trivalent or pentavalent cations is necessary. The improvement of porosity is another requirement for PTCR and sensor applications. Porous barium titanate ceramics are generally fabricated using different kinds of pore-forming agents (PFAs). The fabrication process is carried out using powder metallurgy methods namely mixing with PFAs, shaping and sintering. PFAs, which are used for porous barium titanate fabrication, can be grouped into several categories depending on the type of the pore-former. Polymeric agents, metallic agents, starch-based agents and carbon-based agents. An additional binder burn out step is employed for some of the pore-formers such as PEG and direct sintering is done for other pore-formers such as starch and graphite. The pore-forming mechanisms of several PFAs are different from each other. When oxidized Ti powders are used as PFAs, the difference in the powder size of TiO2 (18μm) and BaTiO3 (1m) powders lead to pore generation. However, gas evolution during the burning of carbon results in porosity when graphite PFA is used. When polymeric agents are used to produce porosity, organic components are pyrolized upon binder removal process. The porosity improvement by PFAs lead to humidity or reducing gas sensitivity of barium titanate based ceramics. Besides, the oxidation of the grain boundaries are enhanced by porosity increase which in turn improves PTCR property. Brand new PFAs such as several polymeric agents, can be used to produce porous barium titanate or known to be effective PFAs can be applied to it in order to produce more sensitive sensors or to obtain more pronounced PTCR effect in BaTiO3. The effect of PFAs on the porosity (and pore size) and grain size of barium titanate ceramics and also the different pore-forming mechanisms of PFAs are currently open to further investigation since this particular area is based on trial and error method.

### **7. Acknowledgment**

94 Powder Metallurgy

BTLP-1122 BTLP-3122

Fig. 5.7 The humidity sensing property of PMMA containing samples sintered at 1200°C

0 20 40 60 80 100 Relative Humidity (%)

BTLP-1152 BTLP-3152

Fig. 5.8 The humidity sensing property of PMMA containing samples sintered at 1500°C

However, the electrical resistance did not change very much with relative humidity up to 40% of relative humidity. A clear drop in the electrical resistance was observed only after

0 20 40 60 80 100 Relative Humidity (%)

n-type semiconducting barium titanate ceramics have applications as thermistors and sensors. For barium titanate in order to exhibit PTCR and gas (or humidity) sensing property, first donor doping by trivalent or pentavalent cations is necessary. The

(Ertug, 2008).


Log

(S/m)

(Ertug, 2008).




Log

(S/m)



**6. Conclusion** 

60% of relative humidity (Ertug, 2008).

Dedicated to my beloved sister, Deniz for supporting me through my academic life.

I wish to thank my Ph.D. thesis advisor Prof.Dr. A. Okan Addemir at the Istanbul Technical University, who enabled the beginning and the completion of the work on porous barium titanate based humidity sensors.

I would like to express my gratitude to Assistant Prof. Dr. Tahsin Boyraz at Cumhuriyet University, who gave me the idea of working on and writing a book chapter on powder metallurgy. I truly appreciated all the time and advice he gave me throughout my time at ITU.

I also wish to thank my collegue at ITU, Gülten Sadullahoğlu, Ph.D. for her constant support in my studies.

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**5** 

*University of Bremen* 

*Germany* 

**Hybrid Gas Atomization for Powder Production** 

Atomization of a molten liquid melt is a versatile method for powder production. Main operational parameters and physical conditions for a suitable atomization process for


In this contribution the development of gas atomization units is described, which utilize characteristic flow effects of a molten metal stream in relation to the flow of compressed gases for efficient fragmentation of liquids and melts. The interaction of gas and liquid melt in the twin-fluid atomization process is used for understanding and optimization of melt

Atomization of liquids (e.g., pure liquids, solutions, suspensions and emulsions, or melts) is a classic process engineering unit operation. The process of liquid atomization has applications in numerous industrial branches, for example, in chemical, mechanical, aerospace, and civil engineering as well as in material science and technology and metallurgy, food processing, pharmaceuticals, agriculture and forestry, environmental

Within atomization, the bulk fluid (continuous liquid phase) is transformed into a spray system (dispersed phase: droplets). The disintegration process itself is caused either by


**1. Introduction** 

different applications in powder production are:

Main aims of atomizer developments are: - minimization of (mean) particle sizes,

**2. Atomization of liquids and melts** 

protection, medicine, and others.

fragmentation processes.




Udo Fritsching and Volker Uhlenwinkel


http://nano.tkk.fi/en/research\_groups/electron\_physics/research/gas\_sensors/
