AVX
NTC Thermistors
1
Contents
NTC Thermistors
NTC THERMISTORS
General Characteristics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2
Application Notes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6
Selection Guide. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
Ordering Code. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
RoHS/ELV Compliance . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
NTC SMD Thermistors
NC 12 - NC 20 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
With Nickel Barrier Termination NB 12 - NB 20. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
With Nickel Barrier Termination NB 21 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14
Packaging . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16
Surface Mounting Guide . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18
NTC Accurate
NJ 28 - NI 24 - NK 20 - NP 30 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19
NTC Disc Thermistors
ND 03/06/09 - NE 03/06/09 - NV 06/09. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
Packaging . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25
NTC Leadless Disc Thermistors
NR Series for Consumer and Automotive Applications . . . . . . . . . . . . . . . . . . . . . . . . . . 27
Resistance
Tables of Resistance vs Temperature. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29
Identification – Traceability. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34
As we are anxious that our customers should benefit from the latest developments in the technology and standards,
AVX reserves the right to modify the characteristics published in this brochure.
NOTICE: Specifications are subject to change without notice. Contact your nearest AVX Sales Office for the latest specifications. All statements,
information and data given herein are believed to be accurate and reliable, but are presented without guarantee, warranty, or responsibility of any kind,
expressed or implied. Statements or suggestions concerning possible use of our products are made without representation or warranty that any such
use is free of patent infringement and are not recommendations to infringe any patent. The user should not assume that all safety measures are
indicated or that other measures may not be required. Specifications are typical and may not apply to all applications.
2
1 – INTRODUCTION
NTC thermistors are thermally sensitive resistors made from
a mixture of Mn, Ni, Co, Cu, Fe oxides. Sintered ceramic
bodies of various sizes can be obtained. Strict conditions
of mixing, pressing, sintering and metallization ensure an
excellent batch-to-batch product characteristics.
This semi-conducting material reacts as an NTC resistor,
whose resistance decreases with increasing temperature.
This Negative Temperature Coefficient effect can result from
an external change of the ambient temperature or an inter-
nal heating due to the Joule effect of a current flowing
through the thermistor.
By varying the composition and the size of the thermistors,
a wide range of resistance values (0.1Ω to 1MΩ) and tem-
perature coefficients (-2 to -6% per °C) can be achieved.
RoHS (Restriction of Hazardous Substances - European
Union directive 2002/95/EC).
ELV (End of Life-Vehicle - European Union directive
2000/53/EC).
All Thermistor Products have been fully RoHS/ELV since
before 2006.
Chip Thermistor NB RoHS/ELV Status: external Plating
100% smooth semi-bright Sn as standard SnPb Termination
available on request.
2 – MAIN CHARACTERISTICS
2.1 CHARACTERISTICS WITH NO DISSIPATION
2.1.1. Nominal Resistance (Rn)
The nominal resistance of an NTC thermistor is generally
given at 25°C. It has to be measured at near zero power
so that the resultant heating only produces a negligible
measurement error.
The following table gives the maximum advised measure -
ment voltage as a function of resistance values and thermal
dissipation factors.
This voltage is such that the heating effect generated by the
measurement current only causes a resistance change of
1% ΔRn/Rn.
2.1.2. Temperature -
Resistance characteristics R (T)
This is the relation between the zero power resistance and
the temperature. It can be determined by experimental mea-
surements and may be described by the ratios R (T) /R
(25°C) where:
R (T) is the resistance at any temperature T
R (25°C) is the resistance at 25°C.
These ratios are displayed on pages 29 to 33.
2.1.3. Temperature coefficient (α)
The temperature coefficient () which is the slope of the
curve at a given point is defined by:
100 dR
= and expressed in % per °C.
RdT
2.1.4. Sensitivity index (B)
The equation R = A exp (B/T) may be used as a rough
approximation of the characteristic R (T).
B is called the sensitivity index or constant of the material
used.
To calculate the B value, it is necessary to know the resis-
tances R1and R2of the thermistor at the temperatures
T1and T2.
The equation: R1= R2exp B ()
leads to: B (K) = 1n ()
Conventionally, B will be most often calculated for tempe-
ratures T1= 25°C and T2= 85°C (298.16 K and 358.16 K).
In fact, as the equation R = A exp (B/T) is an approximation,
the value of B depends on the temperatures T1and T2by
which it is calculated.
For example, from the R (T) characteristic of material M
(values given on page 29), it can be calculated:
B (25 – 85) = 3950
B (0 – 60) = 3901
B (50 – 110) = 3983
When using the equation R = A exp (B/T) for this material,
the error can vary by as much as 9% at 25°C, 0.6% at 55°C
and 1.6% at 125°C.
Using the same equation, it is possible to relate the values of
the index B and the coefficient α:
1dR
= • A exp (B/T) •
RdT
thus = – expressed in %/°C
NTC Thermistors
General Characteristics
Ranges of Maximum measuring voltage
values (V)
(Ω)
δ= 2 mW/°C δ= 5 mW/°C δ= 10 mW/°C δ= 20 mW/°C
R 10 0.10
10 < R 100 0.13 0.18 0.24
100 < R 1,000 0.25 0.38 0.53 0.24
1,000 < R 10,000 0.73 1.1 1.5 2.0
10,000 < R 100,000 2.1 3.2 4.6
R < 100,000 6.4 9.7 14.5
1 -1
T
1T2
R1
R2
()
1 -1
T
1T2
=1
A exp (B/T)
-B
T2
B
T2
3
NTC Thermistors
General Characteristics
2.1.5. Further approximation of R (T) curve
The description of the characteristic R (T) can be improved
by using a greater number of experimental points, and by
using the equation:
1= A + B (
n R) + C (
n R)3
T
The parameters A, B and C are determined by solving the
set of equations obtained by using the measured resis-
tances at three temperatures.
The solution of the above equation gives the resistance at
any temperature:
The precision of this description is typically 0.2°C for the
range –50 to +150°C (A, B, C being determined with exper-
imental values at –20, +50 and 120°C) or even better if this
temperature range is reduced. The ratios R(T)/R(25°C) for
each of the different materials shown on pages 29 to 33
have been calculated using the above method.
2.1.6. Resistance tolerance and temperature
precision
An important characteristic of a thermistor is the tolerance
on the resistance value at a given temperature.
This uncertainty on the resistance (DR/R) may be related to
the corresponding uncertainty on the temperature (DT),
using the relationship:
T = 100 • R1
R
Example: consider the thermistor ND06M00152J —
• R (25°C) = 1500 ohms
• Made from M material
• R (T) characteristic shown on page 23 gives:
= - 4.4%/°C at 25°C
• Tolerance R/R = ±5% is equivalent to:
T = 5%/4.4%/°C = ±1.14°C
2.1.7. Resistance tolerance at any temperature
Any material used for NTC manufacturing always displays a
dispersion for the R (T) characteristic.
This dispersion depends on the type of material used
and has been especially reduced for our accuracy series
thermistors.
Thus, the tolerance on the resistance (R2/R2) at a temper-
ature T2is the sum of two contributions as illustrated on
Figure 1:
– the tolerance R1/R1at a temperature T1used as a
reference.
an additional contribution due to the dispersion on
the characteristic R (T) which may be called
“Manufacturing tolerance” (Tf).
Figure 1
Differentiating the equation R = A exp (B/T), the two contri-
butions on the tolerance at T can also be written:
R2=R1+⎪⎪B
R2R1
The T(f) values given with the resistance – temperature
characteristics on pages 29 to 33 are based on a computer
simulation using this equation and experimental values.
2.1.8. Designing the resistance tolerances
Using the fact that the coefficient decreases with temper-
ature (α= –B/T2), it is generally useful to define the closest
tolerance of the thermistor at the maximum value of the
temperature range where an accuracy in °C is required.
For example, let us compare the two designs 1 and 2
hereafter:
Only the Design 2 is able to meet the requirement ΔT 1°C
from 25°C to 100°C.
RΩ
R25
25°CTTemperature (°C)
Graph with B
Graph with B ± ΔB
}(ΔR)25°C
}
}(ΔR)25°C
+
T
F
}= (ΔR) T
1-1
T
1T2
TRαDesign 1 Design 2
(°C) (Ω) (%/°C) R/R(%) T(°C) R/R(%) T(°C)
0 3275 -5.2 3.5 0.7 5.0 1.0
25 1000 -4.4 3.0 0.7 4.5 1.1
55 300 -3.7 3.5 1.0 4.0 1.1
85 109 -3.1 4.1 1.3 3.4 1.1
100 69.4 -2.9 4.5 1.6 3.0 1.0
A - 1/T
C
()
A - 1/T
C
()
n R (T) =
]
[-27
2
1
3
B
C
3 +3
2327 2+ 4 3
()
-3+27
2
A - 1/T
C
() ()()
+3
2
327 2+ 4 3
A - 1/T
C
()
B
C
()
()
4
2.1.9. Shaping of the R (T) characteristic
By the use of a resistor network, it is possible to modify the
R (T) characteristic of a thermistor so that it matches the
required form, for example a linear response over a restrict-
ed temperature range.
A single fixed resistor Rp placed in parallel with a thermistor
gives a S–shape resistance–temperature curve (see Figure 2)
which is substantially more linear at the temperature range
around the inflexion point (Ro, To).
Figure 2 – Linearization of a thermistor
It can be calculated that better linearization is obtained when
the fixed resistor value and the mid-range temperature are
related by the formula:
Rp = RTo x B – To
B+ 2To
For example, with a thermistor ND03N00103J —
R25°C = 10kΩ, B = 4080 K
good linearization is obtained with a resistor in parallel where
the value is:
Rp = 10,000 Ω x 4080 - 298 = 8088 Ω
4080 + (2 x 298)
2.1.10. Demonstration of the R (T) parameters
calculation
To help our customers when designing thermistors for
temperature measurement or temperature compensation,
software developed by our engineering department is avail-
able upon request.
2.2 CHARACTERISTICS WITH ENERGY
DISSIPATION
When a current is flowing through an NTC thermistor, the
power due to the Joule effect raises the temperature of the
NTC above ambient.
The thermistor reaches a state of equilibrium when the
power supplied becomes equal to the power dissipated in
the environment.
The thermal behavior of the thermistor is mainly dependent
on the size, shape and mounting conditions.
Several parameters have been defined to characterize these
properties:
2.2.1. Heat capacity (H)
The heat capacity is the amount of heat required to change
the temperature of the thermistor by 1°C and is expressed in
J/°C.
2.2.2. Dissipation factor ()
This is the ratio between the variation in dissipated power
and the variation of temperature of the NTC. It is expressed
in mW/°C and may be measured as:
= U.I
85 – 25
where U.I is the power necessary to raise to 85°C the tem-
perature of a thermistor maintained in still air at 25°C.
2.2.3. Maximum permissible temperature (T max)
This is the maximum ambient temperature at which the ther-
mistor may be operated with zero dissipation. Above this
temperature, the stability of the resistance and the leads
attachment can no longer be guaranteed.
2.2.4. Maximum permissible power at 25°C (Pmax)
This is the power required by a thermistor maintained in still
air at 25°C to reach the maximum temperature for which it is
specified.
For higher ambient temperatures, the maximum permissible
power is generally derated according to the Figure 3 here-
after and TL = Tmax – 10°C.
Figure 3 – Derating of maximum power
R
(kΩ)
T (°C)
RTO
Rp
RO
TO
Rp
P
max
25°TLTmax T°C
NTC Thermistors
General Characteristics
5
2.2.5. Voltage – Current curves V (l)
These curves describe the behavior of the voltage drop V
measured across the NTC as the current l through the NTC
is increased.
They describe the state of equilibrium between power
resulting from Joule effect and dissipated power in the
surroundings. (Figure 4)
Figure 4 – Voltage – current curve V (l)
Several zones can be identified:
– low current zone
dissipated energy only produces negligible heating and
the curve V (l) is almost linear.
– non-linear zone
the curve V (l) displays a maximum voltage Vmax for a
current lo.This maximum voltage Vmax and the temper-
ature Tmax reached by the NTC under these conditions
can be determined by using the equations:
P = V2/R = (T - Tamb) and
R = Ramb • exp B (1/T - 1/Tamb)
therefore:
Tmax = B/2 - B2/4 - BTamb ~Tamb
Vmax = (Tmax - Tamb ) • Ramb exp [B(1 - 1 )]
Tmax Tamb
where is the dissipation factor and Tamb is the ambi-
ent temperature.
– high current zone
for higher currents, an increase in temperature of the
NTC decreases the resistance and the voltage more
rapidly than the increase of the current. Above a certain
dissipated power, the temperature of the NTC exceeds
the permissible value.
2.2.6. Current – Time curves l(t)
When voltage is applied to a thermistor, a certain amount of
time is necessary to reach the state of equilibrium described
by the V(l) curves.
This is the heating up time of the thermistor which depends
on the voltage and the resistance on one side and the heat
capacity and dissipation on the other.
The curves l(t) are of particular interest in timing applications.
2.2.7. Thermal time constant
When a thermistor is self-heated to a temperature T above
ambient temperature Tamb, and allowed to cool under zero
power resistance, this will show a transient situation.
At any time interval dt, dissipation of the thermistor
((T – Tamb)dt) generates a temperature decrease –HdT,
resulting in the equation:
1dT = - dt
(T - Tamb)H
The solution to this equation for any value of t, measured
from t = 0, is:
n(T - Tamb)= - t
(To - Tamb)H
We can define a thermal time constant as:
= H/expressed in seconds.
Where the time t = :
(T - Tamb) / (To - Tamb) = exp - 1 = 0.368
expressing that for t = , the thermistor cools to 63.2% of the
temperature difference between the initial To and Tamb (see
Figure 5).
According to IEC 539 our technical data indicates mea-
sured with To = 85°C, Tamb = 25°C and consequently
T = 47.1°C.
Figure 5 – Temperature – time curve T(t)
2.2.8. Response time
More generally, it is possible to define a response time as the
time the thermistor needs to reach 63.2% of the total
temperature difference when submitted to a change in the
thermal equilibrium (for example from 60°C to 25°C in
silicone oil 47V20 Rhodorsil).
V
Vmax
IoI
NTC Thermistors
General Characteristics
( )
1+Tamb
B
6
TEMPERATURE MEASUREMENT
High sensitivity and low cost make NTC thermistors the most
common device used for temperature measurement.
Non-linearity of the R -T curve generally leads to the use of
a resistor network to linearize the signal. An example is
given in Figure 6.
More precise measurements and temperature display can
also be achieved with simple electronic equipment as
shown in Figure 7.
The choice of the model will particularly take into account
the small size (better response time) and the resistance
tolerance. Mounting conditions (dissipation), and input volt-
age (self-heating) will also be carefully defined to avoid serious
errors in temperature measurement.
TEMPERATURE CONTROL
AND ALARM
NTC thermistors can be used as a simple on-off control tem-
perature system or temperature alarm system. Figure 8 gives
an example of such a circuit.
When the temperature increases to a defined value, the
resistance of the thermistor decreases and the current
becomes sufficiently high to energize the relay and provide
temperature alarm or heating system turn-off.
The high sensitivity of thermistors (about 4% resistance
change for 1°C) allows the temperature to be controlled very
precisely.
TEMPERATURE COMPENSATION
As many electronic components (integrated circuits, ampli-
fiers,...) have a positive temperature coefficient of resistance,
NTC thermistors represent a cheap and interesting solution
to compensate for this effect and provide an improved
temperature stability for electronic equipment.
It is necessary to include the thermistor in a resistor network
(Figure 10) calculated in such a manner that the network
coefficient compensates exactly for the positive temperature
coefficient of the other component (Figure 9).
Common leaded discs or chip thermistors are well suited for
this application.
Figure 6 Figure 7
NTC Thermistors
Application Notes
R2
R1
R3
RNTC
Thermistor
circuit
A/D
converter
Display T°C
μ processor
with R/T
algorithm
Resistance
Temperature
RTotal
RNTC
RC
R
R
RNTC
RC
R1
R2
R3
RNTC
Figure 8
Figure 9 Figure 10
7
LIQUID LEVEL OR FLOW DETECTION
The dissipation of a thermistor is significantly different in a
liquid or in a gas, in a static fluid or in a stirred one. A liquid
level detector or a gas–flow measurement can be designed
using this property.
In Figure 11, the output voltage measured on the thermistor
depends upon the dissipation factor of its environment, and
can be illustrated by V-l curves (Figure 12).
This voltage can be used to detect the presence (V2) or
absence (V1) of liquid around the thermistor or measure the
flow speed.
A good design should define a precise operating temperature
range, where dissipation in the high dissipating medium at
highest ambient temperature remains higher than the dissipa-
tion in low dissipating medium at lowest ambient temperature.
SURGE PROTECTION
A soft start of sensitive apparatus can be achieved by using
NTC thermistors as described in Figures 13 and 14.
At turn-on, the NTC absorbs the surge current, limits the
current across the equipment and protects it. Then, the
thermistor heats, its resistance decreases and most of the
power becomes applied to the apparatus.
In its design, the thermistor will be selected with a thermal
capacity higher than the surge energy to absorb.
TIME DELAY
The current-time characteristic of a thermistor is used in time
delay applications such as delaying energization of a relay
after application of power to an electrical circuit.
The time delay, time necessary for the thermistor to heat up
to the temperature where its resistance allows the current to
reach the switching value of the relay, is mainly defined with
the nominal resistance of the thermistor.
The time delay is also strongly dependent upon the ambient
temperature, as shown in Figure 15.
Figure 11
Figure 12
Figure 15
Current T = 50°C
T = 40°C
T = 25°C
Time
Voltage
Vin
V2
V1
Vin/RS
Current
k2
k1
Vin
RS
RNTC
V
NTC Thermistors
Application Notes
Figure 13
Figure 14
RNTC
Equipment
Power
Unprotected equipment
Protected equipment
NTC absorbed power
Time
8
NTC Thermistors
Selection Guide
Types Range of Values Main Applications Page
R at 25°C
SMD - Hybrid circuit
NC 12/20 - Temperature 10
NB 12/20 Compensation 12
NB 21/23 14
Accuracy Series
19
Leaded Discs
21
Leadless Discs
27
- Temperature
measurement
- Temperature
measurement
and regulation
- Level detection
- Compensation
- Automotive
and industrial
thermal control
Custom designed products
generally defined at two temperatures
NJ 28
NI 24
NP 30
NK 20
N.03
N.06
N.09
NR
10 Ω 1 MΩ
2 kΩ 100 kΩ
2 kΩ 100 kΩ
330 Ω 1 MΩ
150 Ω 330 kΩ
68 Ω 150 kΩ
9
NC20 K 0 0103 M – –
NTC Thermistors
Ordering Code
Type
NC 12
NC 20
NB 12
NB 20
NB 21
NB 23
NJ 28
NI 24
NK 20
ND 03
ND 06
ND 09
NR ..
Material
Code
I
J
K
L
M
N
P
Q
R
S
T
U
(See tables
pages 29 to 33)
Material Code
2nd Digit
NJ, NK Types: A
NB, NC Types:
C or O or 5 or 2
Other Types: 0
Resistance at 25ºC
(EIA Code)
Tolerance
on Resistance
at 25°C
F: ± 1%
G: ± 2%
H: ± 3%
J: ± 5%
K: ± 10%
L: ± 15%
M: ± 20%
X: ± 25%
Suffix
HOW TO ORDER
ROHS/ELV COMPLIANCE BY PRODUCT FAMILY
For leadless discs
(types NR) see
specification and
ordering code on
pages 28.
1. Resistance expressed by two
significant figures
1st digit: 0 (zero)
2nd and 3rd digits: the first two
significant figures of the resistance
value at 25°C.
4th digit:
– for values ≥ 10 Ω:
the number of ZEROS to be
added to the resistance value
– for values ≥ 1 Ωand ≤ 9.9 Ω:
the numerical 9 signifying that the
resistance value is to be multiplied
by 0.1
– for values < 1 Ω: the numerical 8
signifying that the resistance
value is to be multiplied by 0.01
Examples: 1000 Ω: 0102
8.2 Ω: 0829
0.47 Ω: 0478
2. Resistance expressed by three
significant figures
1st, 2nd and 3rd digits: the first three
significant figures of the resistance
value at 25°C.
4th digit:
– for values > 100 Ω:
the number of ZEROS to be
added to the resistance value
– for values > 10 Ωand < 100 Ω:
the numerical 9 signifying that the
resistance value is to be multiplied
by 0.01
– for values > 1 Ωand < 10 Ω:
the numerical 8 signifying that the
capacitance value is to be multiplied
by 0.01
Examples : 196 Ω: 1960
47.2 Ω: 4729
RoHS (Restriction of Hazardous Substances - European Union directive 2002/95/EC).
ELV (End of Life-Vehicle - European Union directive 2000/53/EC).
All Thermistor Products have been fully RoHS/ELV since before 2006.
Chip Thermistor NB RoHS/ELV Status: external Plating 100% smooth semi-bright Sn as standard SnPb Termination available
on request.
Products that are supplied AS STANDARD in RoHS/ELV compliant form for listed
Industrial Product Family RoHS Compliant for Material Listed
Group Series Cadmium Hexavalent Lead Mercury PBBs PBDEs
Chromium
Leaded NTC Thermistors NF NI 444444
Thermistors Thermistors ND NJ NP 444444
SMD Thermistors NC 444444
Thermistors Thermistors NB 444444
LEAD-FREE COMPATIBLE
COMPONENT