Microelectronic Engineering 88 (2011) 82–86
Contents lists available at ScienceDirect
Microelectronic Engineering
journal homepage: www.elsevier.com/locate/mee
Accelerated Publication
Study on I–V characteristics of lead free NTC thick film thermistor for self
heating application
Shweta Jagtap a, Sunit Rane a,⇑, Suresh Gosavi b, Dinesh Amalnerkar a
a
b
Thick Film Materials Laboratory, Centre for Materials for Electronics Technology (C-MET), Panchawati, Off. Dr. Bhabha Road, Pune 411008, India
Department of Physics, University of Pune, Ganeshkhind, Pune 411007, India
a r t i c l e
i n f o
Article history:
Received 26 April 2010
Received in revised form 2 July 2010
Accepted 26 August 2010
Available online 6 September 2010
Keywords:
NTC thermistor
Lead free
Thick film
Heater
Response and recovery time
a b s t r a c t
The resistivity of several materials varies predictably with temperature; this makes them suitable for the
use as temperature sensors. If these material gets heated due to the electric current passing through it and
if it preserves a uniform temperature distribution during heating, then its total resistance would accurately reflect its temperature, allowing it to simultaneously act as both a temperature sensor and a self heater. This paper describes the results of indigenously formulated lead free thick film NTC thermistor paste
composition with sheet resistance of 1 kO/h used for heater application. The current–voltage, temperature–current characteristics, dissipation constant, response and recovery time of the heater are reported.
The maximum current handling capacity of the prepared thick film thermistor was observed at 300 mA
and the temperature achieved to 340 °C. Therefore, the heater was tested at a constant current of 300 mA
for 24 h, which did not show any extreme change in behaviour and the temperature of the thermistor/
heater remained constant to 340 ± 5 °C.
Ó 2010 Elsevier B.V. All rights reserved.
1. Introduction
The resistivity of several materials varies predictably with temperature; this makes them suitable for the use as temperature sensors. If these material gets heated due to the electric current
passing through it and if it preserves a uniform temperature distribution during heating, then its total resistance would accurately
reflect its temperature, allowing it to simultaneously act as both
a temperature sensor and a heater. Such heater/sensor would eliminate the need for two metal films (heater and sensor) on a chip,
reducing the real-estate usage of electronics and rendering the
chip more readily adaptable for higher levels of integration [1].
The name thermistors derived from thermally sensitive resistors was coined to described a form of resistive device that posses
a large temperature co-efficient of resistance [2–4]. Thick film negative temperature co-efficient (NTC) thermistors are made up of
ceramic materials usually based on Mn, Co, Ni and Fe oxides mixtures, which crystallize in the spinel structure [5,6]. Thermistors
prepared using thick film technology has already gained good rank
in the families of advanced solid sensor technology. Three important characteristic of thermistors make them extremely useful in
measurement and control applications: (a) the resistance–temperature characteristic, (b) the voltage–current characteristic and (c) the
current–time characteristic. All of these applications are based on
⇑ Corresponding author. Tel.: +91 20 2589 9273; fax: +91 20 2589 8180.
E-mail address: sunitrane@yahoo.com (S. Rane).
0167-9317/$ - see front matter Ó 2010 Elsevier B.V. All rights reserved.
doi:10.1016/j.mee.2010.08.025
the resistance temperature characteristics of the thermistor which
depends on the semiconducting material. In the voltage–current
characteristic of a thermistor, if a large amount of current flows
through a thermistor, it will generate heat which will raise the
temperature of the thermistor above that of its environment and
its resistance decreases further. This characteristic of self heat provides an entirely new field of applications for the thermistor. In the
self heat state the thermistor is sensitive to anything that changes
the rate at which heat is conducted away from it. It can so be used
to measure flow, pressure, liquid level, composition of gases etc. If,
however, the rate of heat removal is fixed, the thermistor is sensitive to power input and can be used for voltage or power-level control. It may be noted here that even though the thick film
thermistors are widely used for temperature sensing since past
4–5 decades, however, the extensive literature survey on thick film
thermistors revealed that no adequate research available for thick
film thermistor in particular to self heater application. Therefore,
the present work is focused on the study of the indigenously formulated lead free thick film NTC thermistor for the self heater
applications.
2. Experimental
2.1. Preparation of test heater patterns
Thick film NTC thermistor paste composition with sheet
resistance as 1 kO/h value was used for the fabrication of planar
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S. Jagtap et al. / Microelectronic Engineering 88 (2011) 82–86
heaters. The thermistor composition is based on spinels of oxides
of Mn, Co and Ni as a functional material with thermistor system
as (Mn1.85 Co0.8 Ni0.35) O4, RuO2 as a conducting phase and lead free
glass frit as a permanent binder. It should be noted here that ruthenium dioxide based thick film NTC thermistors has been found a
most suitable choice since it showed linear current–voltage (I–V)
characteristics, significant decrease in the resistance value, moderate thermistor constant and good stability [7,8]. Considering the
above phenomenon, in the present study RuO2 was selected as a
conducting phase. These ingredients were then blended with the
organic vehicle to form the viscous paste. The inorganic to organic
ratio was kept as 70:30 while the NTC spinel powder material and
glass frit was kept at 90:10. The detailed thermistor compositions
and paste formulations process were already explained in our earlier study [9–15]. Planar thick film thermistors/heater patterns of
1 1 mm size was screen printed on the pre-fired lead free silver
electrodes (ESL 9912-K) onto the 100 100 alumina substrate (96%,
Kyocera). The thickness of the alumina substrate was 635 lm.
The printed heaters were then dried under IR lamp for 10–
15 min in order to evaporate the volatile organic solvents and then
fired at 850 °C for 10 min in the BTU furnace. Thickness of fired
films was measured using Talysurf thickness profiler and was in
the range 25 ± 5 lm.
2.2. Experimental set-up for heater characteristics
The factors which govern the rate at which an NTC thermistor will
self heat are the power which is applied to the device and its thermal
mass, construction of the device, the nature and temperature of its
surrounding ambient and its means of connection in the circuit also
affect the heat flow, either through the device itself or alternatively
to its surroundings. Therefore, in order to maintain the operational
environment and avoid the surrounding affects while measuring
the electrical parameters, the sample was mounted on a fixed support in a closed metallic chamber to maintain the constant surrounding ambient. The temperature and electrical characteristics of the
fired thick film thermistor was measured using the constant current
source (Keithley model-220, max current = 100 mA), Regulated
power supply (Aplab 7222S, max current = 2.5 Amp), Data acquisition system (DAQ) (Agilent, Model 34970A) with K type thermocouple (Agilent make) with accuracy of 1 °C. Different values of currents
were passed through the films and voltage across the film along with
the corresponding change in temperature of the film was acquired
using the data acquisition system. Initially, the input current (up to
100 mA) was supplied though the constant current source (Keithley)
which was later replaced by regulated power supply source (Aplab
make). The schematic diagram of the measurement set-up is shown
in Fig. 1.
3. Result and discussion
Fig. 2. Backscattered SEM image of fired thick film NTC thermistor.
film revealed the sintered microstructure with connected grain
boundaries. The bright particles seen in the matrix are nothing
but the conducting RuO2 grains. The cavities/small pinholes occurred due to the evolution of gases produces due the burning of
organic solvents during firing of the thick film.
3.2. XRD analysis
Fig. 3 shows the X-ray diffractorgram of the thermistor film
sample. The XRD confirms the formation of spinel phases such as
NiMn2O4, CoMn2O4, NiCo2O4 and conducting phase RuO2 is also
detected in film sample. However, the spinel phase NiMn2O4 is
dominant with the average peak intensity of 50% while existence
of RuO2 phase with the average peak intensity of 43% is observed.
Also, feeble presence of other spinel phases such as CoMn2O4 and
NiCo2O4 with the average intensities of 5% and 8%, respectively
has been noted.
3.3. R–T characteristics
The change in resistance with respect to temperature was measured for the sample. Fig. 4 shows a plot of resistance (R) as a function of temperature (T) for the fired thermistor films. It can be seen
from the graph that, the resistance of the thermistor decreases almost linearly (i.e. quasi linear behaviour) with the increase of temperature. This change in R–T characteristics of thermistor from
exponential to quasi linear is mainly due to the contribution of
RuO2 in the composition. As stated earlier, RuO2 has relatively
low specific resistivity with high positive, linear metallic like
dependence of resistivity with respect to temperature. These
3.1. Microstructure analysis
Agilent
Constant
current
Temperature
34970A
Thermistor
source
Voltage
DAQ
RS 232
Computer
control
system
Intensity (Arb units)
Fig. 2 shows the backscattered SEM image obtained from the
surface of fired thick film thermistor. The SEM of the thermistor
NiMn2O4
CoMn2O4
NiCo2O4
RuO2
20
30
40
50
60
70
80
2θ
Fig. 1. Schematic diagram of the measurement set-up used.
Fig. 3. X-ray diffractogram of the fired thick film thermistor sample.
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S. Jagtap et al. / Microelectronic Engineering 88 (2011) 82–86
Vmax
50
Voltage(volts)
45
40
35
30
25
20
15
10
0
50
100
150
200
250
300
Current (mA)
Fig. 5. Current–voltage (I–V) characteristics of an NTC thick film thermistor as a
function of ambient temperature.
Fig. 4. Resistance–temperature characteristics of the thick film NTC thermistor as
self heater.
characteristics of RuO2 in conjunction with spinel phases are
responsible for the quasi linear nature which is an important
behaviour of thermistors [15].
The data on electrical properties pertaining to the prepared lead
free thermistor paste composition along with the data available on
‘lead’ based commercial thermistor paste compositions reported by
some researchers [16] is given in Table 1. It is seen from the table
that the electrical properties of the prepared thermistor paste composition is compatible with the commercially available lead based
NTC thick film compositions. The R–T characteristics of the commercially available thermistor compositions are exponential in
nature which may be due to the absence of conductor phase
(RuO2) in the reported commercial samples.
3.4. Current–voltage characteristics
One of the most interesting and useful property of an NTC
thermistor is the behaviour of the voltage drop ‘V’ measured across
the device as the DC current ‘I’ through the device is increased.
Fig. 5 illustrates the typical I–V curve of the thick film NTC thermistor at an ambient temperature of 30 °C after sufficient time has
been allowed for the thermistor to achieve a steady state. At very
low currents, the power dissipated in the thermistor is too low
(<1 mW) to heat the thermistor where Ohm’s law is obeyed. In this
region, the current through the thermistor is not sufficient to raise
the temperature of the device appreciably above the ambient and
the variation in the resistance will depend only upon changes in
the temperature of the surroundings. This linear region (Ohmic region) can be used for temperature measurement where as the
overheating (near maximum voltage) is commonly used for flow
sensors, vacuum monitoring and similar applications. An increase
in current causes reduction in thermistor resistance. This decrease
Table 1
Comparative data of thick film NTC thermistors prepared by indigenously formulated
paste with the data available for the commercial paste samples.
*
Sample
Sheet resistance
(kX/h)
Temperature
range (°C)
Thermistor
constant (K)
TA35C
Remex NTC 4993*
ESL NTC 2414*
1
1
10
25–300
25–125
25–125
1200
1200
1250
Commercial thick film NTC materials.
in resistance is due to heat developed in the thermistor itself by the
action of current through it (Joule heating). A peak value of voltage
(Vmax = 47.56 volts) occurs at current of 60 mA where the thermistor body temperature must be above the ambient and further increase in the current (i.e. up to 300 mA) causes so much self
heating that the resulting drop in resistance causes drop in voltage
(Fig. 5). This region exhibits a negative resistance and a steady
state is reached where thermistor dissipates as much power as is
supplied to it. However, further increase in the current to
350 mA, thermistor was unable to withstand this high current
which might cause the thermal mismatch between the thermistor
and the substrate presumably damaged the alumina substrate as
well as and the thermistor film. The portion of the breakage in
the thermistor due to high current is also shown as circled in
Fig. 6b. This effects was due to passing of high current through
the thick film thermistor are shown in Fig. 6 (a, b).
The silver electrode also turned to brownish as there is a great
disparity between the thermistor and conductor resistivity, current
crowding was occurred that turned the ageing of electrode which
is shown in Fig. 6a and appearance of current crowding is shown
in Fig. 6b. The current flows into the conductor at its leading edge,
rather than being distributed over the overlap region which results
in the current crowding causes ageing of the electrode [17]. The
large voltage difference between the thermistor and silver electrode can also be the reason of turning the silver electrode to
brownish [18]. From the above results it can noted that the developed thermistor can be used as a self heater up to the maximum
temperature of 340 °C.
3.5. Current–temperature characteristics
Fig. 7 illustrates the current–temperature characteristics of the
thick film thermistor. It is observed here that at very low currents
(1–9 mA); the power dissipated is too low to heat the thermistor
and Ohm’s law is obeyed. However, at higher current value
(P10 mA) the temperature of the thermistor raise above the ambient temperature due to Joule heating. It is seen from the figure that
the maximum temperature achieved by the thermistor is
340 ± 5 °C. Further increase in current leads to the breakage in
the heater. Based on the above conditions, the heater performance
was tested for 24 h at a constant current of 300 mA. It was found
that the heater withstands the current of 300 mA without the
breakage or damage in the sample. Therefore, from the above results, we can say that the prepared lead free thermistor can be used
as a self heater up to the temperature of 340 ± 5 °C. It assumed that
the temperature distribution over the heater was uniform since the
area of the heater is small (i.e. 1 mm2).
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S. Jagtap et al. / Microelectronic Engineering 88 (2011) 82–86
Fig. 6. Effect of passing the high current on the silver electrode (a) and breakage in the alumina substrate as well as NTC film (b).
3.7. Response and recovery time
350
Response and recovery time of heater has practical importance
in many applications since it gives a measure of the speed of response for the particular device to a temperature change. The response time of a heater can be obtained from the time required
for the heater to change its output value from its initial value to
250
o
Temperature ( C)
300
200
150
(a)
100
350
50
300
50
100
150
200
250
300
Current (mA)
Fig. 7. Current–temperature-relationship of the thick film thermistor as heater.
3.6. Dissipation constant
250
O
0
Temperature ( C)
0
200
150
100
In Sections 3. 4 and 3.5, it is seen that as the power supplied to
the NTC thermistor, Joule heating accompanying the change in
resistance of the thermistor. Therefore, the dissipation constant
‘K’ can be defined as the power (in mW) required to raise the
thermistor temperature by 1 °C above the ambient temperature.
If the Newtonian cooling is assumed, the steady state relationship
between the applied electrical power (P) and the thermal power,
dissipated in the thermistor material as a heat loss is given by
Macklen [1],
50
-50
0
50
100
150
200
250
300
350
Time (Sec)
(b)
350
300
250
where K is independent of T and all parts of the thermistor are at the
same temperature T. Accordingly, using the above equation the dissipation constant (K) of the lead free thick film NTC thermistor was
28 mW/°C (±2) which is quite reasonable as the dissipation constant
range from 10 W/°C, 5–15 mW/°C and 100 mW/°C for bead type,
disc as well as for rod devices and a disc mounted on a plate and
held against a heat sink, respectively. It may be noted that the value
of K depends greatly on the environment of the thermistor, its
method of mounting, the thermal conductivity of its wires and
envelope. In the present case, the measurements were carried out
in the closed chamber having normal air ambient. The sample is
in the planar form but without hermetically sealed which was
mounted on a fixed support.
200
(T-Tamb)
P ¼ V I ¼ KðT T amb Þ
150
100
50
0
0
50
100
150
200
250
300
Time (sec)
Fig. 8. (a and b) Response and recovery time of the NTC thermistor as self heater.
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S. Jagtap et al. / Microelectronic Engineering 88 (2011) 82–86
90% of its final settled value. The power applied to the device is the
major factor which governs the rate at which the NTC thermistors
will self heat [1]. To measure the response time of the thermistor
used as a self heater application, 300 mA current was passed
through the thermistor and the time required for the thermistor
to reach at 340 °C was recorded using the data acquisition system
(DAQ) with a scan rate of 500 ms/scan. The heater takes 2 min 35 s
(±5 s) to reach the 340 °C which is the response time of a heater
(Fig. 8a).
Recovery time of the heater can be obtained as time required for
the heater to reach 10% of its original temperature when the source
was removed. To measure the recovery time of the thermistor used
as a self heater, initially the thermistor was kept at its highest
withstanding current i.e. 300 mA. At this stage, the temperature
of the thermistor body was recorded as 340 °C. The current source
was then removed and the change in temperature with respect to
time was recorded using DAQ system at a scan rate of 100 ms/scan.
The recovery time of the self heater was recorded to 45 s (±3) as
shown in Fig. 8(b). The recovery time of thermistor as a heater is
dependent on the type of thermistor fabrication and is 1 s for bead
type thermistor, 15–30 s for disc type and small rod type thermistor while the maximum response time of 200 s was noted in case of
disc encapsulated in a moulded resin case [1].
4. Conclusion
We have successfully demonstrated the indigenously formulated ‘lead free’ thick film NTC thermistor paste composition with
sheet resistance of 1 kO/h used for self heater applications. The
thermistor as a self heater showed the maximum voltage (Vmax)
of 47.56 V at 60 mA current, then decreases even further increase
in the current value. The developed thermistor can be used as self
heater up to the maximum temperature of 340 °C with the current
of 300 mA. However, further increase in the current to 350 mA,
thermistor was unable to withstand this high current presumably
damaged the alumina substrate as well as and the thermistor film.
The response time of the thermistor is 2 min 35 s (±5 s) to reach at
the maximum temperature of 340 °C with a recovery time of 45 s
(±3) which is satisfactory and compatible to the available bulk
devices.
Acknowledgements
The authors are grateful to Prof. R.C. Aiyer, Department of Physics,
Pune University for the fruitful discussions and time to time help during this work. The work was supported through the sponsored project
supported by Department of Information Technology, New Delhi. The
authors are grateful to Department of Information Technology, Ministry of Communication and Information Technology, Government of
India for the financial support and Dr. U.P. Phadke, Dr. Krishnakumar,
Dr. S. Chatterjee, Department of Information Technology, Ministry of
Communication and Information Technology, New Delhi for their active support related to the sponsored project.
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