Appendix E: Understanding Integrated Circuit Package
Power Capabilities
INTRODUCTION
The short and long term reliability of National Semiconduc-
tor’s interface circuits, like any integrated circuit, is very de-
pendent on its environmental condition. Beyond the
mechanical/environmental factors, nothing has a greater in-
fluence on this reliability than the electrical and thermal
stress seen by the integrated circuit. Both of these stress is-
sues are specifically addressed on every interface circuit
data sheet, under the headings of Absolute Maximum Rat-
ings and Recommended Operating Conditions.
However, through application calls, it has become clear that
electrical stress conditions are generally more understood
than the thermal stress conditions. Understanding the impor-
tance of electrical stress should never be reduced, but
clearly, a higher focus and understanding must be placed on
thermal stress. Thermal stress and its application to interface
circuits from National Semiconductor is the subject of this
application note.
FACTORS AFFECTING DEVICE
RELIABILITY
Figure 1
shows the well known “bathtub” curve plotting fail-
ure rate versus time. Similar to all system hardware (me-
chanical or electrical) the reliability of interface integrated cir-
cuits conform to this curve. The key issues associated with
this curve are infant mortality, failure rate, and useful life.
Infant mortality, the high failure rate from time t0 to t1 (early
life), is greatly influenced by system stress conditions other
than temperature, and can vary widely from one application
to another. The main stress factors that contribute to infant
mortality are electrical transients and noise, mechanical mal-
treatment and excessive temperatures. Most of these fail-
ures are discovered in device test, burn-in, card assembly
and handling, and initial system test and operation.Although
important, much literature is available on the subject of infant
mortality in integrated circuits and is beyond the scope of this
application note.
Failure rate is the number of devices that will be expected to
fail in a given period of time (such as, per million hours). The
mean time between failure (MTBF) is the average time (in
hours) that will be expected to elapse after a unit has failed
before the next unit failure will occur. These two primary
“units of measure” for device reliability are inversely related:
Although the “bathtub” curve plots the overall failure rate ver-
sus time, the useful failure rate can be defined as the per-
centage of devices that fail per-unit-time during the flat por-
tion of the curve. This area, called the useful life, extends
between t1 and t2 or from the end of infant mortality to the
onset of wearout. The useful life may be as short as several
years but usually extends for decades if adequate design
margins are used in the development of a system.
Many factors influence useful life including: pressure, me-
chanical stress, thermal cycling, and electrical stress. How-
ever, die temperature during the device’s useful life plays an
equally important role in triggering the onset of wearout.
FAILURE RATES vs TIME AND
TEMPERATURE
The relationship between integrated circuit failure rates and
time and temperature is a well established fact. The occur-
rence of these failures is a function which can be repre-
sented by the Arrhenius Model. Well validated and predomi-
nantly used for accelerated life testing of integrated circuits,
the Arrhenius Model assumes the degradation of a perfor-
mance parameter is linear with time and that MTBF is a func-
tion of temperature stress. The temperature dependence is
an exponential function that defines the probability of occur-
rence. This results in a formula for expressing the lifetime or
MTBF at a given temperature stress in relation to another
MTBF at a different temperature. The ratio of these two MT-
BFs is called the acceleration factor F and is defined by the
following equation:
Where: X1 = Failure rate at junction temperature T1
X2 = Failure rate at junction temperature T2
T = Junction temperature in degrees Kelvin
E = Thermal activation energy in electron volts (ev)
K = Boltzman’s constant
However, the dramatic acceleration effect of junction tem-
perature (chip temperature) on failure rate is illustrated in a
plot of the above equation for three different activation ener-
gies in
Figure 2
. This graph clearly demonstrates the impor-
MS009312-1
FIGURE 1. Failure Rate vs Time
April 2000
Appendix E Understanding Integrated Circuit Package Power Capabilities
© 2000 National Semiconductor Corporation MS009312 www.national.com
FAILURE RATES vs TIME AND
TEMPERATURE (Continued)
tance of the relationship of junction temperature to device
failure rate. For example, using the 0.99 ev line, a 30˚ rise in
junction temperature, say from 130˚C to 160˚C, results in a
10 to 1 increase in failure rate.
DEVICE THERMAL CAPABILITIES
There are many factors which affect the thermal capability of
an integrated circuit. To understand these we need to under-
stand the predominant paths for heat to transfer out of the in-
tegrated circuit package. This is illustrated by
Figure 3
and
Figure 4
.
Figure 3
shows a cross-sectional view of an assembled inte-
grated circuit mounted into a printed circuit board.
Figure 4
is a flow chart showing how the heat generated at
the power source, the junctions of the integrated circuit flows
from the chip to the ultimate heat sink, the ambient environ-
ment. There are two predominant paths. The first is from the
die to the die attach pad to the surrounding package material
to the package lead frame to the printed circuit board and
then to the ambient. The second path is from the package di-
rectly to the ambient air.
Improving the thermal characteristics of any stage in the flow
chart of
Figure 4
will result in an improvement in device ther-
mal characteristics. However, grouping all these characteris-
tics into one equation determining the overall thermal capa-
bility of an integrated circuit/package/environmental
condition is possible. The equation that expresses this rela-
tionship is: T
J
=T
A
+P
D
(θ
JA
)
Where: T
J
= Die junction temperature
T
A
= Ambient temperature in the vicinity device
P
D
= Total power dissipation (in watts)
θ
JA
= Thermal resistance junction-to-ambient
θ
JA
, the thermal resistance from device junction-to-ambient
temperature, is measured and specified by the manufactur-
ers of integrated circuits. National Semiconductor utilizes
special vehicles (e.g. thermal test dies) and methods to mea-
sure and monitor this parameter. All circuit data sheets
specify the thermal characteristics and capabilities of the
packages available for a given device under specific
conditionsthese package power ratings directly relate to
thermal resistance junction-to-ambient or θ
JA
.
Although National provides these thermal ratings, it is critical
that the end user understand how to use these numbers to
improve thermal characteristics in the development of his
system using IC components.
MS009312-2
FIGURE 2. Failure Rate as a Function
of Junction Temperature
MS009312-3
FIGURE 3. Integrated Circuit Soldered into a Printed Circuit Board (Cross-Sectional View)
MS009312-4
FIGURE 4. Thermal Flow (Predominant Paths)
Appendix E
www.national.com 2
DETERMINING DEVICE
OPERATING JUNCTION
TEMPERATURE
From the above equation the method of determining actual
worst-case device operating junction temperature becomes
straightforward. Given a package thermal characteristic, θ
JA
,
worst-case ambient operating temperature, T
A
(max), the
only unknown parameter is device power dissipation, P
D
.In
calculating this parameter, the dissipation of the integrated
circuit due to its own supply has to be considered, the dissi-
pation within the package due to the external load must also
be added. The power associated with the load in a dynamic
(switching) situation must also be considered. For example,
the power associated with an inductor or a capacitor in a
static versus dynamic (say, 1 MHz) condition is significantly
different.
The junction temperature of a device with a total package
power of 600 mW at 70˚C in a package with a thermal resis-
tance of 63˚C/W is 108˚C.
T
J
= 70˚C + (63˚C/W) x (0.6W) = 108˚C
The next obvious question is, “how safe is 108˚C?”
MAXIMUM ALLOWABLE
JUNCTION TEMPERATURES
What is an acceptable maximum operating junction tempera-
ture is in itself somewhat of a difficult question to answer.
Many companies have established their own standards
based on corporate policy. However, the semiconductor in-
dustry has developed some defacto standards based on the
device package type. These have been well accepted as
numbers that relate to reasonable (acceptable) device life-
times, thus failure rates.
National Semiconductor has adopted these industry-wide
standards. For devices fabricated in a molded package, the
maximum allowable junction temperature is 150˚C. For
these devices assembled in ceramic or cavity DIP packages,
the maximum allowable junction temperature is 175˚C. The
numbers are different because of the differences in package
types. The thermal strain associated with the die package in-
terface in a cavity package is much less than that exhibited
in a molded package where the integrated circuit chip is in di-
rect contact with the package material.
Let us use this new information and our thermal equation to
construct a graph which displays the safe thermal (power)
operating area for a given package type.
Figure 5
is an ex-
ample of such a graph. The end points of this graph are eas-
ily determined. For a 16-pin molded package, the maximum
allowable temperature is 150˚C; at this point no power dissi-
pation is allowable. The power capability at 25˚C is 1.98W as
given by the following calculation:
The slope of the straight line between these two points is mi-
nus the inversion of the thermal resistance. This is referred
to as the derating factor.
As mentioned,
Figure 5
is a plot of the safe thermal operating
area for a device in a 16-pin molded DIP. As long as the in-
tersection of a vertical line defining the maximum ambient
temperature (70˚C in our previous example) and maximum
device package power (600 mW) remains below the maxi-
mum package thermal capability line the junction tempera-
ture will remain below 150˚Cthe limit for a molded pack-
age. If the intersection of ambient temperature and package
power fails on this line, the maximum junction temperature
will be 150˚C.Any intersection that occurs above this line will
result in a junction temperature in excess of 150˚C and is not
an appropriate operating condition.
The thermal capabilities of all integrated circuits are ex-
pressed as a power capability at 25˚C still air environment
with a given derating factor. This simply states, for every de-
gree of ambient temperature rise above 25˚C, reduce the
package power capability stated by the derating factor which
is expressed in mW/˚C. For our examplea θ
JA
of 63˚C/W
relates to a derating factor of 15.9 mW/˚C.
FACTORS INFLUENCING
PACKAGE THERMAL
RESISTANCE
As discussed earlier, improving any portion of the two pri-
mary thermal flow paths will result in an improvement in
overall thermal resistance junction-to-ambient. This section
discusses those components of thermal resistance that can
be influenced by the manufacturer of the integrated circuit. It
also discusses those factors in the overall thermal resistance
that can be impacted by the end user of the integrated cir-
cuit. Understanding these issues will go a long way in under-
standing chip power capabilities and what can be done to in-
sure the best possible operating conditions and, thus, best
overall reliability.
Die Size
Figure 6
shows a graph of our 16-pin DIP thermal resistance
as a function of integrated circuit die size. Clearly, as the chip
size increases the thermal resistance decreasesthis re-
lates directly to having a larger area with which to dissipate
a given power.
MS009312-5
FIGURE 5. Package Power Capability
vs Temperature
Appendix E
www.national.com3
Die Size (Continued)
Pin Count
For higher pin count packages such as Plastic Quad Flat
Packages (PQFPs),
Figure 7
shows the range of thermal re-
sistances for a number of different package pin counts, from
44 to 160-lead. Better thermal dissipation is achieved with
the larger packages. The values observed depend on the die
and corresponding paddle sizes.
Lead Frame Material
Figure 8
shows the influence of lead frame material (both die
attach and device pins) on thermal resistance. This graph
compares our same 16-pin DIP with a copper lead frame, a
Kovar lead frame, and finally an Alloy 42 type lead
framethese are lead frame materials commonly used in
the industry. Obviously the thermal conductivity of the lead
frame material has a significant impact in package power ca-
pability. Molded interface circuits from National Semiconduc-
tor use the copper lead frame exclusively.
Board vs Socket Mount
One of the major paths of dissipating energy generated by
the integrated circuit is through the device leads. As a result
of this, the graph of
Figure 9
comes as no surprise. This
compares the thermal resistance of our 16-pin package sol-
dered into a printed circuit board (board mount) compared to
the same package placed in a socket (socket mount).Adding
a socket in the path between the PC board and the device
adds another stage in the thermal flow path, thus increasing
the overall thermal resistance. The thermal capabilities of
National Semiconductor’s interface circuits are specified as-
suming board mount conditions. If the devices are placed in
a socket the thermal capabilities should be reduced by ap-
proximately 5% to 10%.
An example of the thermal resistance observable for board
mounted packages is illustrated in
Figure 10
. In this case,
the typical thermal resistance is shown for three TO-263
packages mounted on a PC board with 1 oz copper. A rapid
drop in thermal resistance is observed, albeit the gain has di-
minishing returns as the copper surface area is enlarged.
MS009312-6
FIGURE 6. Thermal Resistance vs Die Size
MS009312-18
FIGURE 7. Thermal resistance for the PQFP family of
packages. The bars on the data points indicate the
variation of the thermal resistance. This variation is
dependent on the device size and the die attach
paddle size.
MS009312-7
FIGURE 8. Thermal Resistance vs
Lead Frame Material
MS009312-8
FIGURE 9. Thermal Resistance vs
Board or Socket Mount
Appendix E
www.national.com 4
Board vs Socket Mount (Continued)
Air Flow
When a high power situation exists and the ambient tem-
perature cannot be reduced, the next best thing is to provide
air flow in the vicinity of the package. Forced convection
around packages mounted on boards can be divided into
laminar flow and turbulent flow. The transition from laminar to
turbulent occurs at a typical velocity of 180 feet per minute
(180 LFPM). In laminar flow, the fluid particles follow a
smooth path, while on the other hand, turbulent flow is char-
acterized by irregular motion of fluid eddiesin which par-
ticles are continuously re-arranged and mixed. Greater heat
transfer is obtained with turbulent flow.
Figure 11
and
Figure
12
illustrate the impact of air flow on the thermal resistance
of a 16-pin DIP and a 100-pin PQFP, respectively. The ther-
mal ratings on National Semiconductor’s interface circuits
data sheets relate to the still air environment.
Other Factors
A number of other factors influence thermal resistance. The
most important of these is using thermal epoxy in mounting
ICs to the PC board and heat sinks. Generally these tech-
niques are required only in the very highest of power applica-
tions.
Some confusion exists between the difference in thermal re-
sistance junction-to-ambient (θ
JA
) and thermal resistance
junction-to-case (θ
JC
). The best measure of actual junction
temperature is the junction-to-ambient number since nearly
all systems operate in an open air environment. The only
situation where thermal resistance junction-to-case is impor-
tant is when the entire system is immersed in a thermal bath
and the environmental temperature is indeed the case tem-
perature. This is only used in extreme cases and is the ex-
ception to the rule and, for this reason, is not addressed in
this application note.
TO-263 (S Package) Board Mount, Still Air
MS009312-13
*For products with high current ratings (>3A), thermal resistance may be lower. Consult product datasheet for more information.
FIGURE 10. Thermal Resistance (typ.*) for 3-, 5-,
and 7-L TO-263 packages mounted on 1 oz.
(0.036mm) PC board foil
MS009312-9
FIGURE 11. Thermal Resistance vs Air Flow (16-pin
DIP)
MS009312-19
FIGURE 12. Effect of air flow on a 100 lead PQFP
mounted on a JEDEC thermal board. The package has
a die attach paddle size of 260x260 mil. The data also
shows the effect on two different device sizes.
Appendix E
www.national.com5
NATIONAL SEMICONDUCTOR
PACKAGE CAPABILITIES
Figure 13
and
Figure 14
show composite plots of the thermal
characteristics of the most common package types in the
National Semiconductor Linear Circuits product family.
Fig-
ure 13
is a composite of the copper lead frame molded pack-
age.
Figure 14
is a composite of the ceramic (cavity) DIP us-
ing poly die attach. These graphs represent board mount still
air thermal capabilities. Another, and final, thermal resis-
tance trend will be noticed in these graphs.As the number of
device pins increase in a DIP the thermal resistance de-
creases. Referring back to the thermal flow chart, this trend
should, by now, be obvious.
RATINGS ON INTEGRATED
CIRCUITS DATA SHEETS
In conclusion, all National Semiconductor Linear Products
define power dissipation (thermal) capability. This informa-
tion can be found in the Absolute Maximum Ratings section
of the data sheet. The thermal information shown in this ap-
plication note represents average data for characterization
of the indicated package. Actual thermal resistance can vary
from ±10% to ±15% due to fluctuations in assembly quality,
die shape, die thickness, distribution of heat sources on the
die, etc. The numbers quoted in the linear data sheets reflect
a 15% safety margin from the average numbers found in this
application note. Insuring that total package power remains
under a specified level will guarantee that the maximum
junction temperature will not exceed the package maximum.
The package power ratings are specified as a maximum
power at 25˚C ambient with an associated derating factor for
ambient temperatures above 25˚C. It is easy to determine
the power capability at an elevated temperature. The power
specified at 25˚C should be reduced by the derating factor
for every degree of ambient temperature above 25˚C. For
example, in a given product data sheet the following will be
found:
Maximum Power Dissipation (Note 1) at 25˚C
Cavity Package 1509 mW
Molded Package 1476 mW
Note 1: Derate cavity package at 10 mW/˚C above 25˚C; derate molded
package at 11.8 mW/˚C above 25˚C.
If the molded package is used at a maximum ambient tem-
perature of 70˚C, the package power capability is 945 mW.
P
D
@70˚C = 1476 mW−(11.8 mW/˚C)x(70˚C−25˚C)
= 945 mW
Molded (N Package) DIP*Copper LeadframeHTP Die
Attach Board Mount Still Air
MS009312-10
*Packages from 8- to 20-pin 0.3 mil width
22-pin 0.4 mil width
24- to 40-pin 0.6 mil width
FIGURE 13. Thermal Resistance vs Die Size
vs Package Type (Molded Package)
Cavity (J Package) DIP*Poly Die Attach Board
MountStill Air
MS009312-11
*Packages from 8- to 20-pin 0.3 mil width
22-pin 0.4 mil width
24- to 48-pin 0.6 mil width
FIGURE 14. Thermal Resistance vs Die Size
vs Package Type (Cavity Package)
Appendix E
www.national.com 6
Notes
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accordance with instructions for use provided in the
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significant injury to the user.
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support device or system whose failure to perform
can be reasonably expected to cause the failure of
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www.national.com
Appendix E Understanding Integrated Circuit Package Power Capabilities
National does not assume any responsibility for use of any circuitry described, no circuit patent licenses are implied and National reserves the right at any time without notice to change said circuitry and specifications.