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Chapter 1
Introduction
1.1 Thermal Management in IC Packaging
Heat dissipation in IC packages is becoming very vital with chips getting smaller and
running at ever increasing speeds. Intel® microprocessors advanced from having 1.5micron lines on INTEL386TM [1] to 0.13-micron in the current Pentium® 4 [2] within
a space of 7 years. The International Technology Roadmap for the Semiconductor
(ITRS) is continually studying the trend in circuitry lines, which is also called the
technology node, reduction. The figure below is an adaptation from the ITRS reports
[3-5]. The thinner these lines go to, the denser the circuitry will be; leading to
Technology N ode ( µ m )
extensive increases in heat generation in microprocessor packages.
0.20
0.15
0.10
0.05
0.00
1995
2000
2005
2010
2015
Year
Figure 1.1: Trend in technology node over the years
The increase in heat flow from IC chips is also apparent in the trend of power
dissipation for high-performance chips reported by ITRS as shown in the following
figure. Increasing amount of power dissipated has to be offset by the efficient cooling
because the maximum junction temperature stays relatively unchanged at 85 - 90oC.
1
Power
M ax Junction Temp
95
Power (W)
250
90
200
85
150
100
2000
80
2005
2010
Year
2015
Max Junction Temp ( oC)
300
2020
Figure 1.2: Power dissipation and maximum junction temperature in IC chips
A major challenge in the semiconductor field is, therefore, the ability to manage the
heat in the IC chips without compromising on the performance of the device. This
management of thermal energy is very crucial because heat has many detrimental
effects on the device. It has been reported [6] that failure rates have near exponential
dependence on device temperature. When a certain upper critical temperature is
reached, important parts of the device may cease to function. Furthermore,
temperature cycles that result from switching on and off the device can also cause
problems, even if the operating temperature does not hit the upper critical
temperature. This leads to another problem, the reliability of the device. It is
important to dissipate the heat gradually so that the temperature of the device will not
reach its ceiling maximum and minimum values. This will reduce the cycling
temperature (the difference between the maximum and the minimum). The figure
below shows how a gradual cycling reduces the maximum cycling temperature.
2
1 Temperature
8
6
4
2
Time
0
0
10
20
30
40
50
60
70
2
4
6
8
Normal cycling
Gradual cycling
1
Figure 1.3: Reduced maximum temperature due to gradual cycling
1.2 Thermal Interface Material
IC chips are packaged to provide protection for the intricate chips. There are many
layers in a packaged chip with every layer performing crucial roles in ensuring proper
functioning. Below is a schematic, not drawn to scale, of a typical packaged IC chip.
Heat Flow
Heat Spreader
Thermal
Interface Material
Solder Balls
Underfill
Die
Substrate
Figure 1.4: Schematic diagram of a packaged chip
3
When the chip is powered up, the die gets hot and heat must effectively be transferred
out to prevent overheating. Heat spreaders are incorporated to aid the spreading of
heat from the small die to the big heat sink and eventually to the ambient.
Improvements on substrates and heat sinks, which are the junction of the actual IC
and the ambient, can constructively affect thermal dissipation. It is of equal great
advantage that interfacial heat path to the heat sink be improved. The layers in the
package create more interfaces for the heat to pass and these solid interfaces become
the bottleneck of the heat transfer. Solid surfaces, not being atomically smooth and
straight, may be warped and rough. The following figure shows how 3 different
surfaces and mated with an atomically smooth surface.
(a) Perfectly mated surface
(b) Warped surface
(c) Rough Surface
Figure 1.5: Schematic diagram of surfaces
As seen, the warped and rough surface that are common in the surfaces used in the IC
packages, create pockets of air trapped in the interface. These poorly mated surfaces
cause a rise in contact resistance. As a result of the impedance, there will be a
temperature drop across the interface. This phenomenon is discussed in Chapter 2.
Air gaps
Thermal
interface
material
Figure 1.6: Utilizing thermal interface material to fill air voids
4
In today’s IC packages, thermal interface materials (TIM) are utilized to fill up the
micro air voids, as seen in the above figure. The conductivity of the thermal interface
is not the only deliberation because the ability of these materials to conform to the
micro roughness at the interfaces is just as essential. Filling up of the micro voids
with thermal interface material will maximize the heat flow path and hence
minimizing thermal contact resistance. The use of a solid, for instance, copper, is
therefore not a feasible choice for a TIM. Commonly used TIM in the semiconductor
industry include thermal grease, polymeric adhesives and phase change materials
(PCMs) [7]. PCM have, in majority cases, replaced grease. [8] This is because they
are cleaner to use and provide much greater resistance to the liquid state being
pumped out of the interface, unlike thermal greases that are prone to pump out [9].
1.3 Overview of Research
The research is a collaboration between the Department of Chemistry, National
University of Singapore and Honeywell Electronic Materials, Honeywell (S) Pte. Ltd.
This research focuses on its thermal management using a commercial Thermal
Interface Material (TIM), which is a Phase Change Material (PCM), produced by
Honeywell. The diagrams in the following figure illustrate the focus of the research.
5
PCM Characterization
Thermal Resistance
(TR) Measurements
Surface Characterization
(a) Areas of interest within a packaged chip
Chemistry and Interfacial Mechanics of a
Phase Change Material on Metal Surfaces
PCM
Characterization
Thermal Resistance
Measurement Setup
Surface
Characterization
Interaction of PCM on Metal Surfaces
(b) Classification of focus areas
Figure 1.7: Illustration of research scope
The initial stage of the work is focused in three areas: PCM characterization, design
and
construction
of
thermal
resistance
measurement
setup
and
surface
characterization of metals. The PCM and metal surfaces were characterized to
understand their basic properties. The thermal resistance measurement setup can then
be utilized to understand how the PCM material on metal surfaces perform with
varying application methods like temperature and pressure, process conditions,
assembly conditions and reliability tests. These studies would enable better
understanding of the performance of the PCM as TIM on metal surfaces.
6
Chapter 2
Theory
2.1 Thermal Test Methods and Standards
There are various ways by which a packaged chip is tested in the area of thermal
management. The following is an account of thermal conduction followed by a short
review of the thermal test methods that are employed.
Conduction is the exchange of internal energy from one body to another, or from one
part of a body to another part. The exchange is the transfer of kinetic energy of the
molecules by direct collision or the drift of free electrons, without an appreciable
displacement of the matter comprising the body. Convection, on the other hand, is
the heat transfer in a fluid by the mixing of one portion of the fluid with another
portion due to gross movements. Radiation is the heat transfer via electromagnetic
radiation emmited by a thermally excited body. A medium is not always necesary for
heat transfer by radiation.
The primary mode of transfer of interest in this project is conduction. The
relationship governing conduction is Fourier’s law [2].
The following is a
demonstration of the derivation of the law, relied on works by Chapman [1], Bar
Cohen and Kraus [2].
Considering a thin plate of material (Figure 2.1) with cross-sectional area, A and
thickness, dx. Let each of the two sides be uniformly maintained at temperature T1
7
and T2 over the surface.This law indicates that the rate of heat flow by conduction
through a material, q is proportional to the cross-sectional area of the material, A ,
and the temperature gradient dT/dx.
dx
T1
T2
A•
q
Figure 2.1: Thin plate of material with uniform temperatures over two opposite
surfaces
The relationship is as follows:
q ∝ -A
dT
dx
(eqn. 2.1)
where the negative sign shows that heat flows from a region of higher temperature to
one with a lower temperature. The proportionality constant is the thermal
conductivity, k. The value k is an intrinsic property of the material. The
proportionality hence becomes
q = -kA
dT
dx
(eqn. 2.2)
Assuming the plate of material is within a homogeneous, isotropic solid as shown in
the figure below.
8
S
δx
x
P
δq
δA
Figure 2.2: Schematic of a thin plate of material within a homogeneous and isotropic
solid
Selecting a point P on surface S, within the solid, we have an area δA, which is part
of the surface S containing P, and having a thickness δx in the direction normal to the
surface at P. If the difference between the temperature of the back face of the plate
and its front face is δT, and if δA is chosen small enough so that δT is essentially
uniform over it, the rate of heat flow across the plate, δq is
δq = -k δA
δT
δx
(eqn. 2.3)
where the negative sign shows that heat flow is taken to be positive if δT is negative
in the direction of increasing x, the normal displacement. The heat flow per unit area
known as the heat flux, f, can be calculated using δq/δA. When δA → 0, the heat
flux through the thickness δx, becomes
9
f=
dq
δT
= -k
dA
δx
(eqn. 2.4)
Allowing δx → 0, heat flux across S at point P in terms of temperature gradient
across P in the x direction becomes
f = -k
dT
dx
(eqn. 2.5)
The above equation is Fourier’s conduction law after the French mathematician who
first made the an extensive analysis of heat conduction. It states that the flux of heat
conducted (energy per unit time per unit area) across a surface is proportional to the
temperature gradient taken in a direction normal to the surface at the point under
consideration.
The total rate of heat transferred across the finite surface S would be
q = − ∫k
s
dT
dA
dx
(eqn. 2.6)
In general, the normal gradient dT/dx may vary over the surface. Nevertheless, there
are many instances where it is possible to select the surface as one on which the
gradient is the same everywhere. This is the situation in the case depicted in the plate
of material. (Figure 2.3) Assuming that there are no heat source or sink in within a
fixed area of material,
10
q = -kA
dT
dx
(eqn. 2.7)
With the Fourier’s law relation, it is possible to derive a general equation of heat
conduction by considering the differential volume shown below.
y
qy+dy
qz
qs stored within
volume
qx
qx+dx
qz+dz
qG generated
within volume
qy
x
z
Figure 2.3: Differential for the derivation of the general heat conduction equation
As energy cannot be created or destroyed but can be transformed from one form to
another, adding the amount of heat going into the subvolume (qin) and the amount of
heat generated within it (qG) equates to total amount of heat coming out of the
subvolume (qout) and heat stored within it (qs).
qin + qG = qout + qs
or
qin - qout + qG = qs
(eqn. 2.8)
11
Considering the x direction, heat entering the subvolume, qx is
qx = -k A
δT
δT
) dy dz
= (-k
δx
δx
(eqn. 2.9)
where the temperature gradient is expressed as a partial derivative because the
temperature, T, is a function of y, z and the time, t. The heat, leaving the right surface
at x+dx is
⎡⎛
δT ⎞ ⎤
δT ⎞ δ ⎛
qx+dx = ⎢⎜ − k
⎟dx ddy dz
⎟ + ⎜− k
δx ⎠ ⎥⎦
δx ⎠ δx ⎝
⎣⎝
(eqn. 2.10)
The difference between the amount of heat entering and leaving the subvolume in the
x direction is, therefore,
qx-qx+dx =
δ ⎛ δT ⎞
⎜k
⎟ddx dy dz
δx ⎝ δx ⎠
(eqn. 2.11)
qy-qy+dy =
δ ⎛ δT ⎞
⎜k
⎟dx dy dz
δy ⎜⎝ δy ⎟⎠
(eqn. 2.12)
qz-qz+dz =
δ ⎛ δT ⎞
⎜k
⎟ dx dy dz
δz ⎝ δz ⎠
(eqn. 2.13)
Similarly
Thus, qin-qout =
δ ⎛ δT ⎞
δ ⎛ δT ⎞
δ ⎛ δT ⎞
⎟⎟ +
⎜⎜ k
⎜k
⎟
⎜k
⎟d+
δx ⎝ δx ⎠ δy ⎝ δy ⎠ δz ⎝ δz ⎠
dx dy dz
(eqn. 2.14)
12
The heat transmitted out of the subvolume is related to the heat stored within the
subvolume can come from an electrical or electronic heat dissipation or from a
chemical reaction. With the volumetric rate of heat generation, qi
qG = qi (dx dy dz)
(eqn. 2.15)
Finally, the amount of heat stored within the subvolume is associated with the rate of
change in internal energy,
du
dT
= c dm
dt
dt
(eqn. 2.16)
where u is the internal energy, c is the specific heat capacity, dm = ρ dx dy dz, where
ρ is the density of the material,
du
δT
=ρc
dx dy dz
dt
δt
(eqn. 2.17)
where a partial derivative is now employed (due to the infinitesimally small material
area)
When equations 2.14, 2.15 and 2.17 are inserted into equation 2.8, the following
results.
δ ⎛ δT ⎞
δ ⎛ δT ⎞
δ ⎛ δT ⎞
δT
⎟⎟ +
⎜⎜ k
⎜k
⎟ + qi = ρ c
⎜k
⎟d+
δx ⎝ δx ⎠ δy ⎝ δy ⎠ δz ⎝ δz ⎠
δt
(eqn. 2.18)
where the common dx dy dz terms have been cancelled.
13
Assuming that k, c and ρ are independent of temperature, direction, and time, a
general equation of heat conduction can be obtained:
qg
1 δT
δ2T
δ2T
δ2T
+
+
+
=
2
2
2
k
α δt
δx
δy
δz
(eqn. 2.19)
Where α is the thermal diffusivity of the material: α ≡ k / (cρ)
At steady state,
qg
δ2T
δ2T
δ2T
+
+
+
=0
k
δx 2
δy 2
δz 2
With an absence of heat sources,
δ2T
δ2T
δ2T
+
+
=0
δx 2
δy 2
δz 2
(eqn. 2.20)
(eqn. 2.21)
The general equation of heat conduction requires the values of the thermal
conductivity, specific heat and thermal diffusivity of the material to be known. Heat
conduction path through changes in physical dimensions involves spreading
resistance and that across interfaces involves contact resistance. Thermal resistance is
a more rigorous physical property, compared to thermal conductivity. It indicates the
ease at which heat can be conducted with the consideration of physical size of the
material. These physical properties will be explained in some details in the subsections that follow.
2.2 Physical Properties of Materials
In most, if not all heat conduction mathematical analyses, at least one of the
following physical properties is essential.
•
Thermal conductivity
14
•
Specific heat capacity
•
Thermal diffusivity
•
Spreading resistance
•
Thermal resistance
•
Contact resistance
2.2.1 Thermal Conductivity
Thermal conductivity is often regarded as the primary physical property of the
material where heat conduction is concerned. Thermal conductivity of a material
indicates how well energy can be exchanged through molecular motion caused by a
temperature gradient. It is an intrinsic property of the material [10] and is dependent
on the chemical composition, the phase, the structure and the temperature and
pressure the material is subjected to. Thermal conductivity was introduced in
Fourier’s Law [2]
q = -kA.
∆T
L
(eqn. 2.22)
where q = amount of heat transferred
k = thermal conductivity of the material
A = cross-section area of material
∆T
= temperature gradient per unit length of the material
L
A higher thermal conductivity shows a greater ability of the material to conduct heat.
A commonly used unit of thermal conductivity is W/mK.
15
2.2.2 Specific Heat Capacity
Specific heat capacity of a material, on the other hand, is the change in temperature
of the material with the amount of energy stored in it. Specific heat capacity is used
in the general equation of heat conduction (eqn 1.19).
From the first law of thermodynamics [10], the changes in enthalpy at constant
pressure and changes in internal energy at constant volume in reversible processes
represent heat transferred to and from a system. Taking the amount of heat
transferred per unit temperature difference during a reversible, constant pressure
process as cp, specific heat capacity at constant pressure is
⎛ ∂h ⎞
cp = ⎜ ⎟
⎝ ∂T ⎠ p
(eqn. 2.23)
Likewise, cv represent the specific heat capacity during a reversible constant volume
process:
⎛ ∂u ⎞
cv = ⎜ ⎟
⎝ ∂T ⎠ v
(eqn. 2.24)
where h = specific enthalpy
u = specific internal energy
T = temperature
subscripts p and v = differentiation done at constant pressure and volume,
respectively
16
2.2.3 Thermal Diffusivity
Thermal diffusivity was introduced in the derivation of the general heat of
conduction (eqn 2.19)
α=
k
ρc p
(eqn. 2.25)
where α = thermal diffusivity
k = thermal conductivity
cp = specific heat capacity at constant pressure
ρ = density
Specific heat capacity at constant pressure is normally used as solids, which are a
common medium of conduction, are usually not compressible. The pressure in the
material is therefore usually constant. Thermal diffusivity incorporates inherent
properties of a material; the thermal conductivity, k and the specific heat capacity, c.
This integration of intrinsic properties facilitates many calculations because
tabulated values of common materials at specific conditions are widely available.
2.2.4 Spreading Resistance
Not all thermal conduction takes place across media of the same cross-sectional
areas. More often than not, conduction takes place through a solid or across an
interface with different cross-sectional area. In an electronic package, for example,
17
heat is conducted through many layers of different cross-sectional areas. The figure
below illustrates the example.
Heat Flow
Heat Spreader
Thermal
Interface Material
Solder Balls
Underfill
Die
Substrate
Figure 2.4: Schematic diagram of heat flow in a packaged chip
In this type of cases, the spreading resistance becomes a concern. This spreading
phenomenon has been discussed [6, 11-13]. Mathematical analyses have been done to
predict the spreading resistance. The work of Song, Lee and Au [12] displays
equations that have verification with experimental examples. 23 equations were
involved in the predictions of the spreading resistance. These equations will not be
further elaborated, as it is not in the scope of this study.
2.2.5 Thermal Resistance and Thermal Impedance
Thermal resistance and contact resistance are, like thermal conductivity, measures of
how well heat is conducted. Thermal conductivity, of homogeneous materials, is
independent of physical dimensions while thermal resistance and contact resistance
are very much dependent on the physical dimensions of the material.
Thermal
resistance is [11] the temperature gradient caused by a unit of heat flow through a
material of a given size. From Fourier’s Law (equation 2.2)
18
θ=
∆T L
= .A
q
k
(eqn. 2.26)
where θ = thermal resistance
∆T= temperature gradient
q = amount of heat transferred
A = cross-section area of material
k = thermal conductivity of the material
L = length of the material
From equation 2.26, it can be seen that thermal resistance of a homogeneous material
is proportional to the distance of heat travelled.
Thermal impedance, on the other hand, is the product of the thermal resistance and the
cross-sectional area.
Thermal impedance = θ.A =
L
∆T
.A =
q
k
where θ = thermal resistance
∆T= temperature gradient
q = amount of heat transferred
A = cross-section area of material
k = thermal conductivity of the material
L = length of the material
19
2.2.6 Contact Resistance
When heat conduction involves heat travel through 2 solids in contact, an additional
temperature gradient exists together with the normal temperature gradient. A
significant temperature drop will be observed due to the interface between the two
solids. The phenomena that causes this is contact resistance. [11] No matter how well
a surface is polished, surface irregularities still exist. Intimate solid contact will
therefore inevitably be accompanied with pockets of air. These pockets of air are very
much non-conductive relative to the solid in contact and the heat travel through the
air, consequently, becomes the bottleneck of the conduction path. This gives rise to
the extra temperature drop.
hot
cool
Temperature
interface
x
x
x
x
x
x
Distance
Figure 2.5: Temperature profile of two solids in contact
Contact resistance can be accounted for to a certain extent. Mathematical treatments
are discussed in works of Kraus & Bar-Cohen [6]. The accountability of contact
resistance is dependent on many parameters. These parameters are complex, given
the numerous uncertainties present in real surfaces. The parameters of concern
include: [6]
20
Number of intimate contacts
Shape of contact points: circular, elliptic, band, or rectangular
Size and arrangements of contact points
Geometry of contacting surfaces with regard to roughness and waviness
Average thickness and fluid (gas, liquid or vacuum) of void space
Pressure and conductivity of void space
Hardness of contacting surfaces
Average temperature of interface
Contact pressure and contact history of surface
Duration of contact with regard to relaxation effects
Vibrational and directional effects
Contact cleanliness
Filling the air gaps with conductive and compliant materials, like thermal grease, and
using a very high contact pressure normally reduces contact resistance. Advances in
materials technology have seen some other materials fill the air gaps and one such
material is the phase change material under study in the present work.
Thermal test methods for IC chips such as microprocessors, therefore, may involve
any of the above mentioned physical properties. It is of special interest in this project
that the thermal resistance be measured.
21
2.3 Methods of Thermal Resistance Measurements
In the electronics industry, a range of thermal resistance is measured. The
measurements of thermal resistance can be carried on individual components of the
chip, like the substrate, die or interface material; or the entire chip itself. Typically,
the thermal performance of a packaged chip is measured by the ability of the package
to dissipate the heat that is produced within it to the ambient. A number of methods
have been used [15] but most of these methods are concerned with the determination
of thermal resistance of the entire chip. The types of methods are:
• Optical
• Chemical
• Physical
• Electrical
The optical method involves IR scanning of the chip surface. This method can only
be used on un-encapsulated chips as it presents temperature profile on the surface.
The optical method is time consuming and costly.
Chemical method of measuring thermal resistance, on the other hand, requires the
chip surface to be coated with a thin layer of temperature – indicating chemical like
liquid crystal material. Similar to the optical method, the chemical method provides
the temperature profile of the surface and therefore cannot be used on encapsulated
chips. There are also a number of disadvantages in using the chemical method.
Significant expertise is required in selecting and applying the chemical. Although
22
chemical application is more economical compared to the optical method, it may
pose resolution and contamination problem; and demands a lot of time.
The third method, which is the physical method, makes use of direct attachment of
very small temperature-measuring devices (like thermocouples) on the chip surface.
This technique is relatively inexpensive but placing a temperature-measuring device
on the surface, without affecting the heat source, is a challenge. Resolution will,
likely, be compromised. Like the two previous methods, the physical method needs a
lot of time and cannot be used on encapsulated chips.
The fourth and last approach to thermal measurement is the electrical method. This
measurement mode uses pre-calibrated temperature sensitive parameter of the chip.
The procedure is the fastest, in comparison with the other 3 methods. The level of
proficiency required to obtain accurate and repeatable results is minimal.
Encapsulated chips can have thermal resistance measured using this method. This
method, however, has even lower resolution than chemical and optical methods, and
the set-up is moderately expensive. This method is widely used and has been
discussed in several papers. [16-21]
A major part of this project, however, focuses on the thermal resistance of a
commercial thermal interface material (TIM). As the name implies, TIM is a material
sandwiched between a chip and a heat spreader and/or a heat sink. Details of thermal
interface materials are discussed in Section 1.2. At first glance, none of the 4
mentioned methods could be used to measure the thermal resistance of TIM.
Measurements methodologies have to be simulated that of an actual package and
23
therefore the TIM has to be sandwiched. The optical, chemical and physical methods
require the surface of the material of interest to be exposed. Electrical method, on the
other hand, requires the TIM to be circuited into a device. The thermal resistance of
the TIM is therefore, difficult to obtain using those methods.
Methods, using standards (MIL-I-49456A, JESD15, ASTM D5470-95 and ASTM
E1530-99) as guidelines, have been created. The ASTM methods have very stringent
requirements to suppress the contact resistance contributions to the measured values.
For example, the contact requirement for ASTM D5470 is a force of 3.0 ± 0.1 MPa.
These values are very high compared to the normal pressure used in semiconductor
packaging, which is less than 0.3 MPa. The surface smoothness requirement for the
ASTM method is also very stringent. The contact surfaces have to be smoothly
finished to within 0.4 µm. A reasonably accepted smoothness by the industry for the
surfaces for the measurements is below 25.4µm.
It is crucial that the development for a thermal resistance measurement set-up be
continued. Some companies have built their own set-up with adjustments deemed
necessary, to the standards. No commercial set-up is available in the market and a
basic set-up must, therefore, first be built and developed for this study.
The thermal resistance measurements carried out in some laboratories [22-27]
concentrated on the bulk properties of the materials. Physical properties like thermal
conductivity and thermal resistance of the material can be obtained. The experimental
methodologies involve sandwiching the material of interest with metal blocks.
Temperature drops across the metal blocks are then measured. Due to the
24
sandwiching of the TIM, contact resistance becomes a crucial issue. It can be
anticipated to have influence of sizeable proportions to the measured thermal
resistance. The ASTM D5470 is the most widely used.
Thermal resistance values are important in the process of selecting the right material
of the right thickness for a particular application. The work by Rauch [27] exhibits
how thermal resistance measurements aid in material selection.
One other aspect, which is the effects of different surfaces on the thermal
performance, however, has not been touched upon. It is the main aim of this study to
investigate the effects of different metal surfaces on the thermal resistance of the
TIM. The following chapters will look into the building and development of a set –up
for this study. Rigorous validations have been planned to verify the working ability
and integrity of the built system.
25
Chapter 3
Instrumentation
3.1 ASTM D5470
The ASTM D5470 exemplifies a method to measure thermal properties thin
thermally conductive solid electrical insulation materials at steady state conditions.
The conditions that are stated for the analysis, however, have to be modified to suit
the needs of the semiconductor industry. The schematic of the apparatus is shown in
Figure 4.1 below.
Force
H
Insulator
H
H
Guard Heater
Insulator
H
H
T1
T2
T3
Heater
Upper metal bar
Sample
Lower metal bar
T4
T5
Reference Calorimeter
T6
Cooling Unit
Insulator
Figure 3.1: Schematic of thermal measurement apparatus according to ASTM D5470
26
General features of the standard include:
1. The sample is placed between two metals bars with high thermal conductivity and
smooth finish within 0.4 µm to the approximate true plane.
2. A cooling unit (comprised of one of the metal bar) with constant temperature bath
maintained uniformly at ± 0.2°C.
3. A force of 3.0 ± 0.1 MPa pressing the stack to minimize the contribution of
contact resistance in the measurements.
4. Upon attaining equilibrium, the temperatures at the bars are taken and the thermal
resistance can be calculated using the following equations:
θ = (TA-TD) / q
(eqn 3.1)
where:
θ = thermal resistance
TA-TD = difference in temperature of the metal bar in contact with the sample
q = heat flow
For a setup with reference calorimeter:
q=
λxA
d
x[T5 − T6 ]
(eqn 3.2)
where:
A = Area of reference calorimeter
λ = thermal conductivity of the reference calorimeter
T5-T6 = temperature difference between thermocouples of reference calorimeter
27
For setup with no reference calorimeter:
q=IxV
(eqn 3.3)
where:
I = electrical potential applied to the heater
V = electrical current flow in the heater
The temperature on the surface contacting the sample, TA and TD can be derived
from the following:
TA = T2 −
dB
(T1 − T2 )
dA
TD = T3 −
dD
(T3 − T4 )
dC
(eqn 3.4)
(eqn 3.5)
where:
TA = temperature of the upper metal bar surface in contact with the sample
TD = temperature of the lower metal bar surface in contact with the sample
dA = distance between temperature sensors in the upper metal bar
dB = distance from the lower sensor to the lower surface of the upper metal bar
dC = distance between temperature sensors in the lower metal bar
dD = distance from the upper sensor to the upper surface of the lower metal bar
The features of the ASTM are normally modified [22-23, 28-33] to suit the
provisions of the semiconductor industry. The requirements for the smoothness of the
metal bars and the applied force are too stringent and are not practical for the
applications in the industry. These requirements are added in the ASTM to suppress
the contribution of contact resistance in the measurements. The smoothness criterion
28
is very difficult to achieve given the heavy usage of the apparatus and the applied
force is too great for the industry to comply with. Furthermore, the measurements at
each high pressures would not be meaningful in the industry. The normal applied
force is 0.2-0.3 psi but the required pressure in the standard is 3.0 ± 0.1 MPa. A setup
has been designed and built based on these issues and the industry specific
requirements.
3.2 Instrument Design and Calculations
3.2.1 Physical Design
The set up consists primarily of a test stand, 2 intermediate blocks, a temperature and
a pressure control system as well as a data acquisition system. A schematic diagram,
not drawn to scale, and an actual photograph of the setup is as shown in Figure 3.2a
and 3.2b respectively. The test stand is made of stainless steel. There is an opening in
the test stand to insert the intermediate blocks. The size of the opening is determined
by the extent of screw length after the different blocks and sample, are assembled.
The temperature control system is made up of an aluminium heater jacket to house a
200W-cartridge heater and a water cooler jacket that is connected to an 8005
Polyscience water circulator. A Teflon jacket to prevent excessive heat loss insulates
the heater jacket. Type-T thermocouples with 0.6mm diameter and accuracy of
+0.1oC are used to monitor the temperature of the heater. A 2132 Eurotherm Controls
temperature controller controls the cartridge heater with reference to a thermocouple.
The pressure applied on the stack is monitored using a Honeywell universal
29
controller, UDC 1000 via a Data Instruments SC500 load cell. The application of
pressure can be done via the manual screw press or automatically using the actuator.
load cell
insulator
heater
Aluminium
intermediate
block
sample
Temperature
controller
T-type t/c
Terminal
block
Aluminium
intermediate
block
water
circulator
actuator
Data acquisition
card
LabVIEW
Universal
controller
Water bath
valve
Pressure
controller
Figure 3.2a: Schematic of the thermal resistance measurement setup
Figure 3.2b: Photograph of the thermal resistance measurement setup
30
Three temperature measurements are taken at each Aluminium block instead of two
to maximize the accuracy. The calculation of the thermal resistance is, as a result,
slightly modified. The figure below is an example of the temperature profile
measured.
A
60.5
60.0
58.5
58.0
57.5
57.0
y = -18.271x + 55.677
-0.25
-0.20
-0.15
-0.10
Distance from Sample (cm)
75
56.5
70
56.0
-0.30
80
Temperature (oC)
59.0
Temperature (oC)
59.5
55.5
-0.05
0.00
65
B
45.5
45.0
44.5
44.0
43.5
43.0
42.5
42.0
41.5
41.0
40.5
y = -16.836x + 44.983
0
60
0.05
0.1
0.15
0.2
0.25
0.3
Distance from the sample (cm)
55
50
45
bottom block
top block
40
-0.3
-0.2
-0.1
0
0.1
0.2
0.3
Distance from sample (cm)
Figure 3.3: Graph of temperature drop across the intermediate blocks
As soon as the cartridge heater is switched on, a temperature junction within the
intermediate blocks occur. The sample of interest (or often referred to as the interface
material) gets heated and cooled by the aluminium blocks above and below it
respectively. The thermal resistance value can then be calculated using the following
equation:
θ = ∆T / q
(eqn 3.6)
where
θ = thermal resistance of sample
∆T = temperature drop across the sample (difference in the two intercepts A & B)
q = amount of heat transferred to the sample
31
The amount of heat, q, transferred to the interface is calculated from the equation
q = kAl AAl
∆Tblk
∆x
(eqn 3.7)
where
kAl = thermal conductivity of aluminium
AAl = cross-sectional area of the aluminium block
∆Tblk
= temperature gradient across the top aluminium block.
∆x
3.2.2 LabVIEW
The setup is capable of measuring both the transient as well as the steady state
conditions. These capabilities have been made possible by specifying the rate of data
acquisition parameter of the LabVIEW program. The LabVIEW program is a virtual
instrument and is made up of two components. The first one is the front panel that
serves as the user interface. The other component is the block diagram that contains
the graphical source code that defines the tasking of the virtual instrument. The
virtual instrument that has been programmed is shown in Figure 3.4.
The virtual instrument has the following main features:
32
1. The temperature readings from the six thermocouples are recorded and displayed
in a waveform with digital indicators. The ASTM D5470 states that equilibrium is
reached when the difference between two successive sets of temperature readings,
taken at 15 minutes intervals, are less than ±0.2oC. Indicators of the equilibrium
are placed in the program for an online monitor of the equilibrium status.
2. The calculations for the thermal resistance measurement and the amount of heat
supplied to the sample are done to good approximate values as the analyses
proceed.
3. Every temperature data point from the analyses can be saved into a spreadsheet
with specified frequency.
4. The temperature data were then processed using the LINEST worksheet function
to calculate the amount of heat and the thermal resistance.
(a) Front panel of the virtual instrument
33
34
3.3 Calibration Methodology
Calibration experiments are carried out to verify how reproducible, robust and rugged
the setup is. In place of a PCM, brass and Teflon calibration blocks of 25.4mm (1
inch) in diameter of various lengths were made. The calibration experiments are
classified in the following areas.
1)
Effect of interface material
2)
Effect of ambient temperature
3)
Effect of water bath temperature
4)
Effect of thermal grease at aluminium / sample interfaces
5)
Effect of air movement
6)
Effect of operator
3.3.1 Effect of interface materials
Two types of materials with very different values of thermal conductivities were
studied. These two materials were made into blocks with different lengths but the
same diameter size as the aluminium blocks. As much as possible, the smoothness of
these blocks was kept below 25µm.
Apart from the absolute value of the thermal resistance of the material at the
particular thickness, this set of experiments enables the values of contact resistance
and effective thermal conductivity of the material to be obtained.
The thermal conductivity of the material can be determined from at least 2
measurements of the thermal impedance, at the same temperature and contact
35
pressure. Thermal impedance is the product of thermal resistance and the cross
section area. From equation 3.8, the reciprocal of the thermal resistance vs. thickness
plot will yield the thermal conductivity of the material of interest.
θ=
∆T L
= .A
q
k
∴ θ .A = L/k
(eqn. 3.8)
where
θ = thermal resistance
∆T= temperature gradient
q = amount of heat transferred
A = cross-section area of material
k = thermal conductivity of the material
L = length of the material
The typical unit used for thermal resistance measurements is oC/W.
3.3.2 Effect of ambient temperature
The ambient temperature may affect the equilibration of the experiment. For this set
of experiments, the air conditioner was set to the lowest temperature (18oC), to a
temperature it is normally operating (21oC), the highest temperature (29oC).
3.3.3 Effect of water bath temperature
Similar to changing the cartridge heater temperature, changing the water bath
temperature determines the amount of heat flow through the intermediate blocks. The
difference is that while the heater temperature is increased, the water bath will get
36
heated up as well until equilibrium is achieved. When the water bath is heated, on the
other hand, the heater temperature is fixed at 65oC. This temperature was chosen
because there will be an appreciable temperature drop across the sample and the
blocks will not be too hot to be handled.
3.3.4 Effect of thermal grease at aluminium / sample interfaces
Irregular surfaces give rise to contact resistance. This set experiment is similar to the
set of experiments involving the study of the effect of interface materials but only
brass blocks were used. Thermal grease was applied at the brass/aluminium interface
to minimize contact resistance and hence increase the amount of heat supplied to the
interface material, the brass block.
3.3.5 Effect of air movement
This study analyses the sensitivity of the thermal measurements to air movement
around the set up. A fan was placed at 0.5 meters and 2 meters away from the set up.
Various fan speeds as well as swinging motions were used to vary the air movements.
3.3.6 Effect of operator
The precision of this setup is tested in this study. 3 different operators independently
performed measurements of the same sample for 4 times. The nature of the sample
and other details of this study are proprietary to the industrial partner. The results are
37
then
tabulated
and
statistically
analysed
using
Gage
Repeatability
and
Reproducibility (GR&R).
3.4 Calibration Results and Discussions
3.4.1 Effect of Interface materials
The thermal resistance of the 2 interface materials tested has 1 – 2 orders of
magnitude difference. Teflon, a good insulator has much higher thermal resistance
than brass, which is a good conductor of heat. The figures below show the results to
the experiments.
4 .5
9 0 .0
y
w
y
x
4 .0
= 6 0 .1 3 x + 0 .7 7
h e re
= th e r m a l im p e d a n c e x 1 0
= th ic k n e s s
8 0 .0
-4
3 .8 8
7 0 .0
2 .9 3
3 .0
6 0 .0
2 .3 9
-4
2
Thermal Impedance x 10 (Km /W)
3 .5
5 0 .0
q (W)
2 .5
1 .9 4
2 .0
4 0 .0
1 .3 7
1 .5
1 .0
3 0 .0
2 6 .7 4
2 2 .4 6
2 0 .0
2 2 .9 9
2 0 .8 6
1 8 .7 2
0 .5
1 0 .0
T R
0 .0
0 .0 0 5
0 .0 1
0 .0 1 5
0 .0 2
0 .0 2 5
0 .0 3
0 .0 3 5
0 .0 4
0 .0 4 5
q
0 .0
0 .0 5
T h ic k n e s s ( m )
(a) Thermal Impedance and amount of heat transferred to brass with varying
thicknesses
38
4 .0
y
w
y
x
3 .7 4
3 .5
= 1 0 0 .4 2 x - 0 .2 6 9 1
h e re
= th e r m a l im p e d a n c e x 1 0
= th ic k n e s s
4 .0
-2
3 .5
2 .9 5
3 .0
2 .5
2 .5
2 .6 7
2 .0
2 .0
1 .5 0
1 .5
q (W)
Thermal Impedance x 10
-2
2
(Km /W)
3 .0
1 .5
0 .6 0
1 .0
1 .0
1 .0 7
0 .4 2
0 .5
0 .5
0 .5 3
TR
0 .0
0
0 .0 0 5
0 .0 1
0 .0 1 5
0 .0 2
0 .0 2 5
0 .0 3
q
0 .0
0 .0 3 5
T h ic k n e s s ( m )
(b) Thermal Impedance and amount of heat transferred to Teflon of varying thickness
Figure 3.5: Graphs of thermal resistance and amount of heat transferred through
interface materials with different thickness
The thermal resistance of the interface material increases with increasing thickness.
The contact resistance of the material is obtained from the thermal resistanceintercept. The brass block has a contact resistance value of 7.70x10-5 Km2/W and
Teflon 3.00x10-3 Km2/W. The much higher contact resistance of Teflon can be
attributed to the very low thermal conductivity of the material. The effective thermal
conductivity, on the other hand, is calculated from the reciprocal of the best fit linear
trend line of the thermal resistance vs. thickness graph. The brass block has an
effective thermal conductivity of 166 W/mK and Teflon 1.00 W/mK. The reported
values of bulk thermal conductivities of brass and Teflon are 120 W/mK [34] and
0.25 W/mK [34] respectively. Theoretically, the effective conductivity is lower than
that of the bulk value. On the contrary, the observed experimental values of the
effective thermal conductivities are much higher than the reported bulk
conductivities.
39
Thermal conductivities, very similar to thermal resistance, can be affected by many
factors. They include physical state and chemical composition of the material,
temperature and pressure. The condition of the experiment from which the reported
value was taken is not specified. The reported brass conductivity has composition
70% copper and 30% zinc. The brass used, on the other hand, has a composition of
57.5% copper and 42.5% of other metals mainly zinc. The variation in the value can
result from the difference in the composition. For Teflon, no mention of the material
grade mentioned. Teflon, being a soft material may have their properties altered by
the firm screwing, resulting in the much higher conductivity.
It has been recently reported [47] that proving the accuracy of thermal resistance
measurement setup based on the ASTM D5470 is problem. Continuous effort is
being done to look for a suitable standard material. For the current work, the accuracy
of the setup is validated using reported data from the industrial partner. The results
are shown in Section 6.3.
3.4.2 Effect of ambient temperature
The effect of ambient temperature on both the amount of heat transferred through the
interface and the thermal resistance is insignificant. It did not make any considerable
difference if the experiment was carried out with the air conditioner turned on to the
lowest or highest possible temperature. It can therefore be ascertained the normal air
conditioning will not affect the temperature readings.
40
0.48
0.47
23.53
TR
22.99
0.47
20.86
q
291.16
294.16
90.0
80.0
70.0
60.0
50.0
40.0
30.0
20.0
10.0
0.0
q (W)
Thermal Resistance
(K/W)
0.500
0.490
0.480
0.470
0.460
0.450
0.440
0.430
0.420
0.410
0.400
302.16
Room Temperature (K)
Figure 3.6: Graph of thermal resistance and amount of heat transferred with different
ambient temperatures
3.4.3 Effect of water bath temperature
The temperature of the water bath has a more apparent effect as compared to the
ambient temperature. The figure below shows a graph of the results obtained.
The amount of heat transferred through the interface decreased with increasing water
bath temperature. This is because, with the temperature of the cartridge heater fixed
at 338.16K, the temperature drop, ∆Tblk, decreases with increasing water bath
temperature. From the equation q = kAl AAl
∆Tblk
, a decrease in ∆Tblk brings about a
∆x
decrease in the amount of heat transferred to the interface.
41
90
0.8
80
0.6
0.5
TR
0.55
0.48
0.47
0.54
0.46
0.46
q
70
60
50
0.36
0.4
40
0.29
0.3
30
19.25
19.25
0.2
14.44
11.23
8.02
0.1
20
4.28
3.74
10
6.42
0
310
q (W)
Thermal Resistance (K/W)
0.7
315
320
325
330
0
335
340
Water Bath Heater Temperature (K)
Figure 3.7: Graph of thermal resistance and amount of heat transferred with varying
cartridge heater temperatures
However, it is not clear if the thermal resistance increases or decreases with
increasing water bath temperature. The interface material is an alloy. Therefore heat
conduction takes place via both movement of free electrons and vibrations of
molecules. Mean free path of electrons tends to decrease with increasing temperature
[10]. Hence heat transfer by electron movement should be more difficult and TR
ought to increases. On the other hand, an increase in temperature enhances molecular
vibration and therefore heat transfer by molecular impact should cause a decrease in
thermal resistance. Consequently, there is an opposing influence of temperature on
thermal resistance and the net result of the effect of temperature is not perceptible.
Furthermore, the pressure at the interface may have increased when the temperature
of the water bath is increased. The blocks were hand-tightened before the
experiments with approximately same amount of force. With an increase in the water
bath temperature, the blocks expanded, causing the pressure at the interface to
increase. The increased pressure could have reduced the contact resistance and
consequently reduced the TR value. When the water bath temperature is set at 65oC,
42
the hot end and cool end are at the same temperature. The net heat flow is, therefore,
minimal and the temperature drops across the blocks are small. Hence, the
measurements are not as accurate.
3.4.4 Effect of thermal grease at aluminium / sample interfaces
Thermal grease is used to minimize the contact resistance at the aluminium/brass
interface. From the graph below, it can be seen that the thermal grease decreased the
contact resistance (thermal resistance at zero thickness) by more than half the initial
value. Without thermal grease, the contact resistance is 7.7x10-5 Km2/W. With the
application of grease at the interface, the contact resistance dropped to 3.6x10-5
Km2/W.
4.5
y = 60.13x + 0.77
where
-4
y = thermal resistance x 10
x = thickness
3.5
3.88
-4
2
Thermal Resistance x 10 (Km /W)
4.0
2.93
3.0
3.24
2.39
2.5
2.63
1.94
2.0
y = 59.26x + 0.36
where
-4
y = thermal resistance x 10
x = thickness
2.15
1.37
1.5
1.44
1.0
0.87
0.5
TR/TG
0.0
0
TR
0.01
0.02
0.03
Thickness (m)
0.04
0.05
0.06
Figure 3.8: Graph of thermal resistance and amount of heat transferred with and
without thermal grease at the aluminium/brass interfaces
43
3.4.5 Effect of air movement
From the following figure, air movements do not have significant effect on the
thermal resistance of the brass block. The 's' in the x-axis indicates swinging motion.
When the fan is blowing, the temperature around the setup drops. The drop in
temperature caused the overall temperature throughout the heating, cooling and
sample blocks to have a reduction in temperature. The drop in temperature, however,
is small and approximately equal at both the hot and cool end. As a result, the
temperature drop across the interface is approximately the same, giving the same
thermal resistance value.
40
0.46
0.449
0.45
0.445
0.440
0.443
0.444
0.439
38
36
0.43
34
0.409
0.42
32
0.41
0.40
31.0
0.39
0.38
27.8
28.3
28.9
q (W)
Thermal Resistance (K/W)
0.44
30
29.4
28
27.8
27.3
26
0.37
TR
q
24
0.36
1/2m
2/2m
3/2m
3/2m
3s/2m
Fan speed / distance from setup
3/0.5m
3s/0.5m
Figure 3.9: Graph of thermal resistance and amount of heat transferred with varying
air movements
44
3.4.6 Effect of operator
The result of the study is shown in the figure below. The measurements preformed
repeatedly by the same operator are consistent within the upper critical limit (UCL)
and lower critical limits (LCL). The operator-to-operator variations are also in the
Sample Range
acceptable range.
0.10
Operatorjane
A
Operator Nor
B
Susan
Operator
C
UCL=0.1026
0.05
R=0.04854
0.00
LCL=0
Figure 3.10: Data measured independently by 3 different operators
This shows that the set-up is capable of producing minimal random errors and is
deemed precise.
45
3.5 Conclusions
The accuracy and the precision of the thermal resistance measurement setup have
been elucidated. The experimental data for the thermal conductivity of the selected
standard materials do not agree well with the reported data. This inaccuracy is due to
the dissimilar measurement technique. The precision of the setup, however, is well
within the acceptable limits.
The amount of heat transferred through the interface depends on the temperature
difference across the sample interface junction. The type of interface material, its
thickness, the cartridge heater temperature as well as the water bath temperatures, can
affect the temperature difference. The larger the temperature difference, the more
heat will be transferred to the interface. The ambient temperature and the speed of the
water circulating through the water jacket do not give any considerable effects.
46
Chapter 4
Material Performance I – Phase Change Materials
4.1 Introduction to Phase Change Material
Phase change materials (PCM) can be classified in 3 general categories [8]: organic,
inorganic and metallic PCM. Organic PCM can either paraffins or non-paraffin
based. The second and third categories consist of inorganic compounds, metals and
eutectics. Depending on the type of PCM, the melting point range from 30oC – 90oC.
PCM absorbs latent heat to melt and release energy when it solidifies. The absorption
and release of heat enabled more gradual temperature cyclings in its applications. In
the microprocessor packaging application, PCM prevents the IC chip from hitting the
upper critical temperature and improve reliability by reducing temperature cycling
while efficiently transferring heat to the heat spreader. PCM have high latent heat of
fusion per unit volume and can therefore absorb considerable amount of thermal
energy during melting. These properties lead PCM to be an important material to be
used as a thermal interface material.
Phase change materials, manufactured by Honeywell Electronic Materials are
protected by at least 2 patents [35-36]. The material is described as a compliant and
crosslinkable thermal interface material that comes in dispensable liquid paste and
elastomer film. Also described in the patents are methods to improve thermal
conductivity of the polymer system. The material is, in principal, comprised of
paraffin wax, liquid rubbers, conductive fillers and some additives.
47
The olefin containing interface materials with appropriate thermal fillers have a
thermal capability of less than 0.5 cm2.oC/W. The thermal performance will not
degrade after thermal cycling or flow cycling because liquid olefins will crosslink to
form a soft gel upon heat activation. The material is also reported to resist ‘squeezed
out’ out as thermal grease does in use, and interfacial delamination is not an issue
during thermal cycling. A literature review on the available types of paraffin wax
and liquid rubber is in Appendix A.
4.1.3 Thermally Conductive Fillers
Suitable filler materials for the PCM include [38-39] silver, copper, aluminium,
boron nitride, aluminium nitride, silver coated copper, silver coated aluminium and
vapour grown carbon fiber (VGCF). VGCF are available in various lengths and
diameters. They are highly graphitized type by heat treatment and have thermal
conductivity of 1900 W/mK. It is difficult to incorporate large amounts of VGCF in
polymer system because they do not mix well. Large amounts of other fillers need to
be added if VGCF are used. It is noted that substantial amounts of spherical filler
particles is advantageous to maximize packing density and provide some control of
the thickness during compaction. The particle size of spherical filler is about 1 to 20
µm. [38-39]
48
4.1.4 Other additives
Accelerators in the form of a tertiary amine may be added into the material as an
accelerator for room temperature cure. Antioxidants may also be added to inhibit
oxidation and thermal degradation of the cured rubber gel. These antioxidants may be
a phenol type or an amine type. Typical cure accelerators include tertiary amines such
as didecylanethylamine.
Dispersion of filler particles can be facilitated by addition of functional organo
metallic coupling agent such as organosilane, organotitanate or organozirconium.
Coupling agents bridge the matrix-filler boundary and are typically inorganic-organic
additives that have one or more hydrolysable groups and a matrix-specific
organofunctional group. For example, a lot of organofunctional silanes are capable of
silanol-group formation for bonding with mineral surfaces and an epoxy functionality
which can react with, or promote adhesion to the matrix. [42]
49
4.2 PCM Characterization
The phase change material (PCM) has been characterized in a number of ways to
understand its basic properties. The characterization was done to understand its
thermal properties and structural properties.
4.2.1 Thermal Analyses
Thermal characterization that have been carried out on the PCM include the thermal
gravimetry analysis (TGA) and the differential scanning calorimetry (DSC). The
amount of weight loss at elevated temperatures measured using TGA is useful to
understand the thermal stability of the material. Significant weight losses at
temperatures at which the material is normally subjected to, in processes and in
applications can affect its thermal performance. Substantial weight loss may affect
both the bulk and interfacial thermal performance of the PCM. Essential organics
may be lost leading to PCM/metal contact deterioration. The amount of heat the
material can sustain may also be reduced due to the weight loss.
DSC, on the other hand, determines the amount of enthalpy changes in a substance
with temperature as well as the amount of energy needed to cause a unit rise in
temperature of the material. Other information that can be obtained from DSC
analyses are the range of temperature for melting transition as well as the onset of
melting. As melting is an endothermic process, a dip (with an exo up heat flow axis)
will be observed when the PCM is brought through the melting temperature. The start
and end of the dip give an indication of the temperature range at which the melting is
occurring. More information about the polymer can also be obtained from the shape
50
of the dip. [43] A split dip shows melting with crystal orientation, a sharp dip shows
melting of oriented polymer and multiple dips show different phases or sizes of
crystals of one polymer or a mixture of polymers.
A few temperature profiles were used in the TGA and DSC runs. For TGA, the PCM
was heated to 300oC to study the weight loss the material at elevated temperatures. A
similar study was carried out using the DSC. The highest temperature studied was
500oC as excessive weight loss may contaminate the DSC cell at higher temperatures.
4.2.2 Structural Analysis
Fourier Transform Infra-red (FTIR) Spectroscopy was employed to study the
structural properties of the PCM. Atoms and molecules vibrate with frequencies in
the IR range and these vibrations are able to give useful information on the specimen
under study. An IR spectrum can be compared to known databases for identifying an
unknown spectrum and the bands can give ideas on the molecular structure of the
specimen.
The spectrum can be interpreted in two areas: the functional group region and the
fingerprint region. Peaks in the functional region (4000-1500 cm-1) are characteristic
of specific kinds of bonds, and therefore can be used to identify whether a specific
functional group is present. Peaks in the fingerprint region (1500-400 cm-1), on the
other hand, arise from complex deformations of the molecule. They may be
characteristic of molecular symmetry, or combination bands arising from multiple
bonds deforming simultaneously.
51
4.3 Experimental Methodology
4.3.1 TGA
Typical sample sizes for thermal analyses like TGA or DSC are 5-10mg. As PCM is
a metal filled polymer material, the effective weight of polymer to be analysed is
much lesser than the overall weight. As the amount of metal fillers is about 4 times
that of polymer, 20-30 mg of PCM samples were used for TGA and DSC analyses.
For the TGA analyses, PCM was placed into ceramic sample cells. The sample was
then heated in a TA instruments SDT 2960 at a controlled rate of 10oC/min up to
500oC.
4.3.2 DSC
20-30 mg of PCM sample was crimped in a hermetic aluminium pan. The sample pan
was then placed in a TA Instruments DSC 2920 cell together with an empty pan as a
reference. The pans were then heated from sub-ambient temperature to 300oC at a
controlled rate of 10oC/min to determine the melting onset and the melting enthalpy.
The specific heat capacity of PCM was also determined using this methodology. The
setting of the instrument was changed so that the signals were modulated. A sapphire
was then used to calibrate the specific heat capacity function of the cell. The
measurements were done at a controlled rate of 5oC/min, which is the maximum rate
in the modulated mode.
52
4.3.3 FTIR
PCM was pressed into a pellet with KBr matrix using 10 tonnes of force. IR beam of
wavenumber 4000 – 400 cm-1 was then passed through the pellet in the Bruker
Equinox 55 FTIR instrument.
4.4 Results and Discussions
The TGA thermogram of PCM is as shown below. At an onset of about 150oC, PCM
loses weight with the highest rate of loss taking place at around 470oC. The PCM is a
metal filled polymer and at 500oC almost all organics would have been lost and the
weight of the sample reaches a plateau. From the thermogram in the following figure,
13% of the total mass, indicating that the filler loading in PCM to be about 87% by
weight.
This thermal analysis also shows that the material cannot be brought above 150oC in
its applications. Upon reaching this onset of weight loss, material degradation will
have occurred and the thermal performance of the material will most likely be
affected.
53
onset of
weight loss
Figure 4.1: TGA thermogram of PCM
The DSC thermogram of PCM is as shown in the following figure. The melting
temperature of PCM is slightly higher than the ambient temperature. The analyses,
therefore, has to be done from a sub-ambient temperature. The DSC cell was loaded
with the sample and then brought to a sub-ambient temperature using dry ice. It is
apparent, from the thermogram, that the onset of melting is gradual. At temperatures
lower than ambient, the PCM is already changing phase as indicated by the deviation
form the baseline. This explains why the material is a soft mouldable material at
room temperature. The maximum rate of melting took place at temperature ranging
from 42oC to 45oC. The phase change is an endothermic process and about 2.2J of
energy was absorbed in the process.
The melting behaviour of the PCM can be determined by the shape of the melting
dip. The gradual melting is reflected by the broad valley-like shape. This is consistent
with the fact that the material is made up of amorphous polymer (rubber) that is
54
unlike the melting of a highly oriented polymer which gives a sharp melting onset
and steep valley. The material is also of single phase because of the absence of
multiple dips.
Figure 4.2: DSC thermogram of PCM
The trend in specific heat capacity of PCM is shown on the following graph. The
specific heat capacity of the material is relatively constant over temperature at values
1.0 to 1.1 J/g/oC. There is a slight increase at the phase change region (40oC – 45oC)
due to the absorption of energy. The specific heat capacity values are, however,
comparable to the specific heat capacity of carbon (0.7 J/g/oC) and aluminium (0.9
J/g/oC) that makes up the main mass of the PCM material.
This amount of heat absorbed by the material to give a unit rise in temperature is an
important characteristic of the material. The higher this value is, the better the
material will perform in the real-life applications. More experiments have been done
(Chapter 5) to demonstrate the importance of this characteristic and the melting
enthalpy with respect to the packaging processes and applications.
55
3.0
Instrument : TA Instruments (DSC)
Ramp rate : 5oC/min
Purge gas : Nitrogen
Sample Pan : Hermetic Aluminium
Specific Heat Capacity (J/g/oC)
2.5
2.0
1.5
1.0
0.5
0.0
-20
-10
0
10
20
30
40
50
60
70
80
90
100
o
Temperature ( C)
Figure 4.3: Specific heat capacity of PCM over temperature
The IR spectrum of the material is depicted in the following figure. As the PCM is
essentially a metal filled polymer, the signals from the analysis are weak. A semitransparent pressed KBr pellet could not be obtained because of the presence of the
fillers. This has, in effect, caused the level of transmission to be low and noisy. The
situation is made worse with the numerous components present in the PCM
specimen, giving are numerous overlapped bands observed in the analysis.
In the functional region, it can be determined that the PCM contains the functional
groups shown in the diagram below. The O-H groups originate from the liquid rubber
where the malenized functional group as well as the reactive groups within the liquid
polymer chains. Strong bands resulting from C-H stretching were also observed due
to the high hydrocarbon content in the paraffin wax. The fingerprint region, on the
other hand, is not conclusive because of the proprietary multi-components of the raw
materials in PCM.
56
0.38
Transmittance (%)
0.37
0.36
0.35
2850
C-H,
2920 O-H(acid)
0.34
3440
0.33
1630
water
670
CO 2
water,
O-H (alcohol)
0.32
4000
3229
2457
1686
914
Wavenumber (cm-1)
Figure 4.4: Signature IR spectrum of PCM
4.5 Conclusions
PCM has been characterized for its basic properties like its thermal stability in terms
of weight loss and its melting behaviour. The material takes in 2.2J of energy to melt,
thereby reducing the preventing the temperature the rise further. It is stable up to
150oC that is well below the predicted maximum junction temperature of a high
performance chip at 125oC [3-5]. The specific heat capacity of the material has also
been experimentally determined to be 1 J.g-1.oC-1. In melting the material, therefore,
keep the temperature down by 2oC. The structure of the material has partially been
elucidated using FTIR technique but the results are not conclusive due to the
proprietary nature of the material.
57
Chapter 5
Material Performance II – Metal Surfaces
5.1 Metal Surfaces
One of the first surfaces that a thermal interface material (TIM) encounters in a
typical package is a metal surface. Metals are known to have high thermal
conductivity but the surface texture and conformances of their surfaces may result in
detrimental effects on the effective conductivity of the material. Metal surfaces, in
their pure states, have high surface energy and to reduce the energetic, oxides are
formed. The surface features, on the other hand, originate from the roughness of the
surface. The interaction of TIM – metal surface is therefore useful to understand their
effects on the package thermal performance. Commercial samples that are used in the
semiconductor industry were utilized in an effort to study these interactions.
Chemical and mechanical properties of these surfaces are analyzed and relations to its
overall contribution to the thermal properties are deduced.
5.2 Surface Characterizations
There are various types and grades of metals used in the IC packaging. These metals
function as heat spreaders and heat sinks for more efficient heat dissipation. Silver
and gold are two of the best heat conducting metal but they are not widely used in the
semiconductor industry as heat sink or heat spreader materials because they are very
expensive and relatively heavy. More widely used metals are aluminium, copper and
nickel.
58
The surfaces under study in this research belong to the heat spreader category and
five types of heat spreaders were selected to simulate the actual application of the
PCM on metal surfaces.
These different spreaders surfaces are made of the following materials:
a) Anodized aluminium
b) Aluminium / silicon carbide composite
c) Black copper oxide
d) Nickel plated copper (Bright and dull surface finish)
Aluminium is a popular metal used in the manufacturing of heat spreaders and heat
sinks due to their light weight, high thermal conductivity and corrosion resistance.
Aluminium, however, is relatively soft. The two types of aluminium heat spreaders
used in this study are hardened to counter that issue. Anodizing aluminum is an
electrochemical process that produces a hard and porous oxide layer on the surface of
the metal. The pore structure when viewed under a high-powered microscope looks
like a honeycomb or metal sponge. The pores are normally sealed and stabilized
when color is deposited into the pore structure. Anodized aluminium is a widely used
material in heat sinks where weight and material strength are very crucial properties.
These different heat spreaders are actual samples being used in the semiconductor
industry. Aluminium / silicon carbide composite, on the other hand, is a metalceramic composite that is built to improve the stiffness of the material.
59
Although copper is a best conductor of heat after silver and gold, it is highly prone to
oxidation. The semiconductor industry has been able to counter this problem by
producing heat spreaders with stable black copper (II) oxide layer. A grade of heat
spreader made of this material has been chosen. The other 2 types of chosen heat
spreaders are nickel plated copper. One of them has a dull finish while the other is a
bright finish.
Images of the metal surfaces were taken using the scanning electron microscope
(SEM) and mechanically characterized for its surface roughness and surface tension.
X-ray photoelectron spectroscopy was then carried to study the surfaces chemically.
5.3 Experimental Methodology
5.3.1 Surface Imaging
The metals were mechanically cut to 2cm x 2cm square, without touching the surface
area of interest, to fit the SEM sample holder. The sample and its holder were then
mounted into the JEOL SEM model JSM-5200. The surface image was then captured
in a PC via SEM Afore software, at 2000x magnification. The scan areas are 60µm x
50µm.
60
5.3.2 Surface Roughness
The surfaces of the metal heat spreaders were profiled based on a mechanical stylus.
This technique uses a pick-up head for converting the height variation into an
electrical signal when the contacting stylus moves across the metal surface. The
advantage of using this method is that the metal heat spreaders need not be cut
because the Kosaka Surfcorder model SE-30C can take a wide variety of sample size.
The scan area using this technique is also larger if compared to other techniques like
the Scanning Tunneling Microscopy (STM), Tunneling Electron Microscopy (TEM)
and Atomic Force Microscopy (AFM). These microscopy techniques have a typical
scanning area of 100µm square while the scanning area using the mechanical stylus
technique is in the mm ranges.
The settings used for the analysis are as follows:
Length measure for each run: 2.5 mm, Drive Speed: 0.1 mm/s
Vertical Magnification: 5000x, Horizontal Magnification: 20x, Cut - off: 0.8 mm
The analyses were recorded by the electro pen and Ra value displayed.
4 scans were made on each metal surface. The scan directions are as follows:
Figure 5.1: Scan directions for surface roughness measurements
61
5.3.3 Surface Tension Measurement
The free energy of a surface (surface tension) is a good measure of their adhesion
properties and the wettability of the surface can be easily measured using contact
angle. Contact angle measurements can be done in many ways [44], including the
drop-bubble methods, reflected Tensiometric method, level-surface method and
capillary rise method. The method employed in this study is the direct observation
sessile drop method. The instrument used is the ramé-hart contact angle goniometer
model 100-00. Deionized (DI) water and diiodomethane were used as the dropping
liquids.
In the experiments, liquid was dropped onto the metal surface using a micro syringe
and the drop profile directly observed using a microscope. The eyepiece of the
microscope has an in-built protractor that facilitates the contact angle measurements.
10 angle measurements were made an average was taken to calculate the surface
tension of the metal.
5.3.4 Core Electron Analysis
X-ray photoelectron spectroscopy (XPS) is an informative method of investigating
the elemental content of a surface. The instrument used for this set of experiment is
VG ESCALAB MKII. The heat spreaders were mechanically cut without touching
the area of interest (1 cm2) and dried in a vacuum oven for 30 minutes prior to the
analysis.
62
5.4 Results and Discussions
The micrographs of the metal surfaces taken using the SEM are shown in the Figure
5.1. The surface of anodized aluminium shows a honeycomb-like arrangement. It is
evident that the porous structure left behind from the anodizing process is not sealed
up by any coloring process. The Al/SiC surface, on the other hand, was observed to
have a fiber-like structure. The apparent fiber like may be due to the aluminium being
aligned in straight lines with the silicon carbide dispersed between the fiber-like
aluminium, or it could be due to machining of the metal spreader. The random
dispersion helps in the strengthening of the heat spreader while maintaining
aluminium lightweight. The copper oxide and nickel surfaces appear relatively
homogeneous, with no apparent patterns. It is likely that the surfaces have coatings
that cover any porosity that might have been left behind from the manufacturing of
the heat spreaders. The surface of the bright-finished nickel surface is seen to be
rougher than the dull surface. Brightness on the surface is apparently not due to the
smoothness of the surface but possibly from a brightening surface coating.
(a) Anodized Aluminium
(b) Al/SiC
63
(c) CuO
(d) Dull Ni Plated Cu
(e) Bright Ni Plated Cu
Figure 5.2: SEM micrographs of heat spreader surfaces
The surface roughness measurements of the heat spreader surfaces confirmed the
results from the SEM imaging. The following figure shows the 2-dimensional surface
profile micrographs from the roughness measurements.
Anodized Al
Al/SiC
Black CuO
Dull Ni
Bright Ni
Figure 5.3: 2-dimensional surface profile of heat spreaders
64
The corresponding roughness values are shown in the figure below.
1.4
1.2
1.13
Ra (m m )
1.0
0.8
0.6
0.57
0.4
0.33
0.37
0.36
0.2
0.0
Anodized Al
Al/SiC
Black CuO
Dull Surface Ni Bright Surface
Ni
Figure 5.4: Roughness of heat spreader surfaces
The surface of the anodized aluminium is the roughest because of the porosity as seen
in the SEM micrograph. It has an average roughness of 1.1 µm. The aluminium
silicon carbide composite has the lowest roughness value of 0.3 µm and this is due to
the filling up of silicon carbide in the cavities created by the ridges of fiber-like
aluminium. Following that, the roughness values of the nickel and copper oxide are
effectively the same. The dull nickel is very difficult to handle as it surface is very
prone to moisture and dirt settling. This sensitivity may have caused the range of
roughness value to be bigger. This same problem may also be the cause the bright
nickel surface is more widely used.
The wettings on the heat spreaders do not show the same trend as the surface
roughness. It was expected that the extent of roughness is proportional to the contact
angle. From the figures below, it can be seen that the anodized aluminium exhibit the
same wetting for both liquids. The porous surface allowed the liquid to seep in,
65
giving equal contact angles. The bright nickel surface also exhibits the same
properties to the liquid. The coating used on the surface is proprietary but it is
believed to not only enhance the luster appearance but also an adhesion promoter. It
was not possible to pick the inherent coating on the bright nickel surface to do
analysis because it was too thin.
90
85
80
78
o
Contact Angle ( )
70
66
60
50
40
55
52
45
32
26
30
20
Diiodomethane
DI water
10
0
Anodized Al
Al/SiC
Black CuO
Dull Ni
Bright Ni
Figure 5.5a: Contact angle on heat spreader surfaces
Surface Free Energy (mJ/m2)
100
Polar
Non Polar
Total
80
60
64
54
40
20
29
25
34
25
33
31
39
37
25
22
17
12
9
0
Anodized Al
Al/SiC
Black CuO
Dull Ni
Bright Ni
Figure 5.5b: Surface free energy of heat spreaders
66
The chemical analyses of the surfaces are shown in the following figure. The strong
oxygen signal and relatively weak aluminium signal from the anodized aluminium
shows that the anodizing process created a thick oxide layer. The spectrum from the
analysis of the aluminium / silicon carbide (Al/SiC) similarly show weak aluminum
signal due to the dispersion of the silicon carbide. There are numerous peaks in all the
spectra. This is an indication that there additional surface finishes on all the heat
spreader. However, there is no information on the final surface finishes as this
information is proprietary.
12000
O 1s
538.9
10000
Intensity (a.u.)
8000
752.5
6000
774.0
1001.9
564.4
4000
Al 2p
81.7
C 1s
292.4
125.8
528.9
2000
0
0
100
200
300
400
500
600
700
800
900
1000
1100
1200
Binding energy (eV)
(a) Anodized Aluminium
67
7000
O 1s
533.2
6000
746.1
769.7
Intensity (a.u.)
5000
995.5
1013.
C 1s
287.0
4000
555.8
Si 2p
104.3
3000
523.5
Al 2p
75.3
2000
120.4
268.8
1000
0
0
50
100 150 200 250 300 350 400 450 500 550 600 650 700 750 800 850 900 950 1000 1050 1100
Binding Energy (eV)
(b) Aluminium / Silicon Carbide
CuO
Cu
2p
Cu 2p
946.0
16000
O 1s
541.8
14000
Cu 2p
965.4
Cu 2p
974.0
12000
Intensity (a.u.)
348.3
10000
753.6
427.9
504.2
775.1
8000
6000
327.9
89.2
4000
135.5
16.1
C 1s
296.7
2000
0
0
100
200
300
400
500
600
700
800
900
1000
1100
1200
Binding Energy (eV)
(c) Black Copper Oxide
68
12000
Ni 2p
855.7
O 1s
531.1
10000
994.4
743.9
479.5
8000
Intensity (a.u.)
Ni 2p
872.9
407.4
6000
4000
C 1s
284.9
67.7
2000
0
0
100
200
300
400
500
600
700
800
900
1000
1100
1200
Binding Energy (eV)
(d) Dull Surface Nickel Plated Copper
1003.0
Ni
2p
O 1s
540.
14000
755.7
12000
1022.3
776.
489.1
Intensity (a.u.)
10000
417.1
8000
448.3
C 1s
294.6
6000
74.4
4000
403.1
122.6
2000 11 8
0
0
100
200
300
400
500
600
700
800
900
1000
1100
1200
Binding Energy (eV)
(e) Bright Surface Nickel Plated Copper
Figure 5.6: XPS spectra of metal heat spreader surfaces
69
5.5 Conclusions
The surface physical structures and morphologies have been revealed. Anodized
aluminium heat spreader has a porous surface that leads the contact angles to be low
and surface energy to be high. The aluminium / silicon carbide, on the other hand, has
comparatively high ordered surface. The silicon carbide addition makes the surface
more non-polar, reflected by the low polar surface free energy. The surface of black
copper oxide has a high surface free energy that could have resulted from additional
surface finish. The nickel plated copper heat spreaders have moderately rough surface
and low surface free energy, despite the apparent bright finish of one of the heat
spreaders.
PCM is essentially an organic material and it is expected to wet better on a non-polar
surface. The thermal performance that is affected by how well the material is able to
wet the surface is therefore expected to be better on non-polar surfaces. From the
measurements of the surface free energy, PCM will have the best thermal
performance on black copper oxide heat spreader.
70
Chapter 6
Interaction of PCM on Metal Surfaces
The three most important capabilities of PCM in its application as a thermal interface
material in the semiconductor packaging is
1) the ability to conform well on the contacting metal surface
2) be able to retain its adhesion to the surface after various process conditioning
3) to continue to exhibit acceptable thermal performance throughout its service life.
Various experiments were done to understand the performance of the material as it
undergoes various processes in the actual IC packaging process. The effects of
different application methods as well as process conditions were studied. The
performance of the material throughout its service life was accelerated using various
standard reliability conditions.
6.1 Process and Applications of PCM in IC Packaging
There are various process steps in IC packaging. After the die has been attached to
the substrate, the first thermal interface material (TIM 1) is attached. The protective
heat spreader is then attached. The following figure is a schematic of a packaged IC.
Figure 6.1: Schematic of a packaged IC
71
There are 2 ways by which the heat spreader can be kept in place: the use of clips or a
structural adhesive. An additional step to cure the adhesive is needed if structural
adhesives are used. Following this step, another layer of interface material (TIM 2) is
applied and finally the heat sink is attached.
The method of thermal interface material application can vary a great deal. In the
case of clips, the amount of pressure exerted by the clip affects the thickness of the
eventual interface material. In some processes, spacers are employed to get the
desired thickness. It is therefore instructive to understand how the pressure affects the
thermal performance of the material at variable and fixed thicknesses.
The type and condition of the metal surface also affects the eventual thermal
performance of the material. Different types of metal heat spreaders used in the
semiconductor industry have been chosen and tested for their thermal compatibility
with the PCM. A specific type of heat spreaders that is widely used is nickel plated
copper. It was selected for this study and surface modifications were carried out to
evaluate how these changes affect PCM’s contact resistance to nickel plated copper.
In its actual applications, PCM is subjected to high temperatures and possibly high
humidity. From Figure 1.2, it can be seen that the temperature that the material is
constantly subjected to an environment of at least 85oC. It was not possible to subject
the PCM to the actual application conditions in this study as it is too time consuming.
The alternative that is widely employed by the industry to understand the service life
of the material is through reliability tests. These tests allow the material to undergo
conditions that would simulate the material having undergone long term application
72
conditions. There are widely available Joint Electron Device Engineering Council
(JEDEC) standards that describe tests to evaluate different properties of the material.
The JEDEC Solid State Technology is a semiconductor engineering standardization
body of the Electronic Industries Alliance (EIA). It is a trade association that
represents all areas of the electronics industry. [45]
Above all, the PCM was evaluated for its thermal conductivity. Thermal conductivity
value is a typical benchmarking property. More advanced comparisons of thermal
interface materials involve the thermal resistance of the material at specific pressure,
thickness, temperature and possibly on specific surfaces.
6.2 Experimental Methodology
Unless otherwise specified, the thermal resistance measurements are done using the
following specifications:
1) Heat spreader: 25.4 mm x 25.4 mm nickel plated copper with bright surface finish
2) Spacers: 200+5 µm copper leadframes
3) Interface material: PCM (standard version)
4) Interface temperature: 323K
5) Contact pressure: 0.2 MPa
6.2.1 Sample Preparations
The spacers are cut to very small pieces ([...]... of contacting surfaces Average temperature of interface Contact pressure and contact history of surface Duration of contact with regard to relaxation effects Vibrational and directional effects Contact cleanliness Filling the air gaps with conductive and compliant materials, like thermal grease, and using a very high contact pressure normally reduces contact resistance Advances in materials... amount of heat transferred k = thermal conductivity of the material A = cross-section area of material ∆T = temperature gradient per unit length of the material L A higher thermal conductivity shows a greater ability of the material to conduct heat A commonly used unit of thermal conductivity is W/mK 15 2.2.2 Specific Heat Capacity Specific heat capacity of a material, on the other hand, is the change. .. cross-section area of material k = thermal conductivity of the material L = length of the material From equation 2.26, it can be seen that thermal resistance of a homogeneous material is proportional to the distance of heat travelled Thermal impedance, on the other hand, is the product of the thermal resistance and the cross-sectional area Thermal impedance = θ .A = L ∆T A = q k where θ = thermal resistance... widely used and has been discussed in several papers [16-21] A major part of this project, however, focuses on the thermal resistance of a commercial thermal interface material (TIM) As the name implies, TIM is a material sandwiched between a chip and a heat spreader and/ or a heat sink Details of thermal interface materials are discussed in Section 1.2 At first glance, none of the 4 mentioned methods... uncertainties present in real surfaces The parameters of concern include: [6] 20 Number of intimate contacts Shape of contact points: circular, elliptic, band, or rectangular Size and arrangements of contact points Geometry of contacting surfaces with regard to roughness and waviness Average thickness and fluid (gas, liquid or vacuum) of void space Pressure and conductivity of void space Hardness... 25µm Apart from the absolute value of the thermal resistance of the material at the particular thickness, this set of experiments enables the values of contact resistance and effective thermal conductivity of the material to be obtained The thermal conductivity of the material can be determined from at least 2 measurements of the thermal impedance, at the same temperature and contact 35 pressure Thermal... medium of conduction, are usually not compressible The pressure in the material is therefore usually constant Thermal diffusivity incorporates inherent properties of a material; the thermal conductivity, k and the specific heat capacity, c This integration of intrinsic properties facilitates many calculations because tabulated values of common materials at specific conditions are widely available 2.2.4... Spreading Resistance Not all thermal conduction takes place across media of the same cross-sectional areas More often than not, conduction takes place through a solid or across an interface with different cross-sectional area In an electronic package, for example, 17 heat is conducted through many layers of different cross-sectional areas The figure below illustrates the example Heat Flow Heat Spreader... kAl = thermal conductivity of aluminium AAl = cross-sectional area of the aluminium block ∆Tblk = temperature gradient across the top aluminium block ∆x 3.2.2 LabVIEW The setup is capable of measuring both the transient as well as the steady state conditions These capabilities have been made possible by specifying the rate of data acquisition parameter of the LabVIEW program The LabVIEW program is a. .. of Materials In most, if not all heat conduction mathematical analyses, at least one of the following physical properties is essential • Thermal conductivity 14 • Specific heat capacity • Thermal diffusivity • Spreading resistance • Thermal resistance • Contact resistance 2.2.1 Thermal Conductivity Thermal conductivity is often regarded as the primary physical property of the material where heat conduction ... Surface Characterization (a) Areas of interest within a packaged chip Chemistry and Interfacial Mechanics of a Phase Change Material on Metal Surfaces PCM Characterization Thermal Resistance Measurement... characterization, design and construction of thermal resistance measurement setup and surface characterization of metals The PCM and metal surfaces were characterized to understand their basic... space Hardness of contacting surfaces Average temperature of interface Contact pressure and contact history of surface Duration of contact with regard to relaxation effects Vibrational