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A Comparative Study on the Thermal and Electrical Conductivity of

Common Materials

Atharva Dev Singh

The Sanskaar Valley School, Chandanpura, Bhopal
462016, Madhya Pradesh, India
DOI:
https://doi.org/10.51244/IJRSI.2025.120800055
Received:
29 July 2025; Accepted: 04 Aug 2025; Published: 03 September 2025
ABSTRACT

This study investigates the thermal and electrical conductivity of a selection of materials, with the objective of

determining which materials allow heat and electric current to pass through efficiently. A comprehensive

review of the underlying principles
governing these phenomena is also presented, along with their practical
applications in everyday life.
Understanding these properties are essential for preparation for advanced physics
courses and help explain various technological applications.
The findings clarify why metals dominate wiring
and heat
-sink applications, whereas polymers and wood serve as insulators in construction and consumer
products
. The results also highlight that while most good electrical conductors are also good thermal
conductors,
the reverse is not always true. These insights are significant for material selection in engineering,
electronics, and insulation applications.
This review couples simple classroom experiments with peer-
reviewed data.

INTRODUCTION

Thermal
- and electrical-conductivity tests were performed on five readily available solids: copper, aluminium,
PVC, polyethylene, natural rubber, and kiln
-dried pine using simple apparatus: a wax-melt bar rig for heat
flow. Copper showed the highest conductivities (
κ≈401 W/m K), whereas rubber and wood exhibited the lowest
(
κ≈0.13 W/m). Aluminium ranked second overall, while plastics displayed intermediate thermal but very low
electrical performance. The analysis shows that in metals, both free
-moving electrons and the vibrations of
atoms (called lattice vibrations) help carry heat and electricity. In contrast, materials like plastics and wood,

which are insulators, mainly transfer heat through vibrations alone. These contrasts underpin material selection

for wiring, cookware, insu
lation, and structural components.
Basic Concepts and Definitions

Thermal Conductivity

Thermal conductivity represents a material's ability to conduct heat energy from regions of higher temperature

to lower temperature
[1]. It is quantified by the thermal conductivity coefficient (k), measured in watts per
meter
-kelvin (W/m·K)[2]. Materials with high thermal conductivity, such as metals, allow heat to flow easily
through their structure, while materials with low thermal conductivity, such as insulators, resist heat transfer
[2].
Free Electron Conduction
: In metals, free electrons play a crucial role in carrying thermal energy efficiently
throughout the material. These free electrons are not tightly bound to the metal atoms and can move freely,

allowing them to transfer energy rapidly.

Phonon Conduction
: In non-metals, heat transfer occurs primarily through lattice vibrations called phonons.
Phonons are quanta of lattice vibrations that propagate through the material, carrying thermal energy from one

location to another.

These two mechanisms are not mutually exclusive, and in some ma
terials, both free electron and phonon
conduction may occur simultaneously. However, the relative importance of each mechanism can vary

depending on the specific material and its properties
[3][4].
INTERNATIONAL JOURNAL OF RESEARCH AND SCIENTIFIC INNOVATION (IJRSI)
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This difference explains why metals generally exhibit much
higher thermal conductivity than non-metallic
materials.

Electrical Conductivity

Electrical conductivity is a measure of a material's ability to conduct electric current
[5]. It is defined as the
reciprocal of electrical resistivity and is denoted by the
symbol σ (sigma)[5]. The SI unit for electrical
conductivity is siemens per meter (
S/m)[5]. Materials are classified as conductors, semiconductors, or insulators
based on their electrical conductivity values. Conductors, such as metals, have high
electrical conductivity,
while insulators, such as plastics and wood, have very low electrical conductivity.

The flow of electric current in materials depends on the availability of free charge carriers, typically

electrons
[6]. In metals, electrons in the outer shell are loosely bound and can move freely throughout the
material, creating high electrical conductivity
[7]. In contrast, insulators have tightly bound electrons that cannot
move easily, resulting in very low electrical conductivity
[8].
Introductio
n
Significance of Conductivity

Understanding how energy moves within components is crucial for determining efficiency and safety in

technological systems. High electrical conductivity enables efficient power transmission, while high thermal

conductivity ai
ds in heat dissipation, which is particularly important in electronics [9]. Conversely, insulators
curb energy losses in buildings and protect users from electric shock
[5].
Objectives

1.
Define thermal (κ) and electrical (σ) conductivities and relate them to microscopic mechanisms.
2.
Design accessible experiments to rank common materials.
3.
Compile and interpret quantitative data.
4.
Link findings to engineering and everyday contexts.
Theory

Thermal Conduction

Heat conduction follows Fourier’s law:

where
q is heat flux (W m⁻²) and dT/dx the temperature gradient. In metals, free electrons carry most heat; in
non
-metals, quantized lattice vibrations (phonons) dominate[10].
For practical calculations involving steady
-state heat conduction through a material of uniform thickness, the
formula becomes
[11]:
Where
Q is the rate of heat transfer (W), A is the cross-sectional area (), T₁ and T₂ are the temperatures at
opposite ends (
K), and L is the thickness (m)
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Derivation:

Imagine a thin, flat slab of material of:

Area A
Thickness Δx
Temperature difference ΔT
Heat flow rate (Q per second) is proportional to:

Area A
Temperature difference ΔT
Inversely proportional to thickness Δx
Hence,

Electrical
Conduction
Ohm’s law links voltage
V, current I, and resistance R: V=IR. Conductivity is the inverse of resistivity
(
σ=1/ρ)[12]. Metallic conduction arises from partially filled conduction bands; polymers and wood possess
large band gaps that immobilize electrons, yielding high resistivity.

The relationship between electrical
conductivity and material properties is expressed as[12]:
Where J is current density (
A/m²), σ is electrical conductivity (S/m), and E is electric field strength (V/m).[18]
Derivation:

We start with current density J:

Where:

J = current per unit area (A/m²)
σ = electrical conductivity (S/m)
E = electric field (V/m)
But, J =
𝐼
𝐴
and E = 𝑉
𝐿
, where:
I = current
A = cross-sectional area
V = voltage
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L = length of conductor
Substitute:

Let,

Wiedemann
Franz Relationship
The proportionality reflects the dual role of electrons in transporting both heat and charge. A fundamental

relationship exists between thermal and electrical conductivity in metals, described by the Wiedemann
-Franz
law.
This empirical law, discovered by Gustav Wiedemann and Rudolph Franz in 1853, states that the ratio of
thermal conductivity to electrical conductivity is proportional to temperature for pure metals
[13]:
with
L (Lorenz number) 2.44×108/K2 and T being the absolute temperature. However, this law is not
universal and has several important exceptions and limitations

The Wiedemann
-Franz law, a fundamental relationship between thermal and electrical conductivity in metals,
exhibits a notable limitation at very low temperatures (n
ear absolute zero). Specifically, the law breaks down
due to the following phenomena:

Enhanced Electrical Conductivity
: Reduced resistance in metals leads to an increase in electrical
conductivity at low temperatures, as the reduced scattering of electrons
enhances their mobility.
Decreased Thermal Conductivity
: Conversely, the reduced electron movement and lower lattice vibrations
(phonons) at low temperatures result in a decrease in thermal conductivity, as the reduced phonon
-phonon
interactions impede th
e transfer of heat.
Disruption of the Expected Ratio
: As a consequence, the Wiedemann-Franz law, which assumes a fixed ratio
between thermal and electrical conductivity, no longer holds at low temperatures
[14].
The Wiedemann
Franz Law also does not apply to non-metallic materials like plastics, ceramics, or wood. In
these insulators and semiconductors, heat is primarily conducted by phonons, not electrons. As a result, they

may have low electrical conductivity but still conduct heat reasonably well, such a
s in the case of diamond.
The law also fails in complex or quantum materials, such as superconductors or heavy fermion systems. These

materials exhibit unusual electron interactions, making their heat and electrical transport behaviour deviate

significantl
y from the predictions of the WiedemannFranz Law.
Material Classifications and Properties

Metals
- Superior Conductors
Metals represent the highest
-performing materials for both thermal and electrical conductivity due to their
abundance of free electrons
[5]. The most conductive metals include:
Silver:
With electrical conductivity of 6.30×10⁷ S/m and thermal conductivity of 429 W/m·K, silver possesses
the highest among
pure metals[7].
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Copper:
The standard for electrical applications, copper has electrical conductivity of 5.96×10⁷ S/m and
thermal conductivity of
401 W/m·K. The International Annealed Copper Standard (IACS) assigns copper a
conductivity rating of 100%.
[15]
Aluminum:
Though only 61% as electrically conductive as copper, aluminum weighs only 30% as much,
making it advantageous for overhead power lines.
It has thermal conductivity of 237 W/m·K.[16]
Gold:
Despite its high cost, gold's excellent corrosion resistance and 70% IACS conductivity make it valuable
for electronic
connections[7].
Semiconductors
- Controllable Conductivity
Semiconductors represent materials with electrical conductivity between metals and insulators, making them

invaluable for electronic devices.
The two most important semiconductors are[17]:
Silicon:
The foundation of modern electronics, silicon has electrical conductivity of approximately 1.56×10⁻⁴
S/m
and thermal conductivity of 149 W/m·K. Its conductivity can be precisely controlled through doping with
impurities
[17].
Germanium:
An early semiconductor material, germanium exhibits electrical conductivity of 2.17 S/m and
thermal conductivity of
60 W/m·K. It has higher electron mobility than silicon but is less commonly used due
to temperature limitations
[18].
Both silicon and german
ium can be doped with elements having three or five valence electrons to create p-type
or n
-type semiconductors respectively. This controlled conductivity enables the creation of diodes, transistors,
and integrated circuits essential to modern technology.

Insulators
- Heat and Electrical Barriers
Insulating materials have very low thermal and electrical conductivity, making them essential for safety and

energy efficiency applications
[8].
Glass:
With thermal conductivity around 1.05 W/m·K and electrical conductivity of approximately 10⁻¹¹ S/m,
glass serves as an excellent insulator.
Its amorphous structure prevents easy electron movement[8].
Rubber:
Natural and synthetic rubber exhibit thermal conductivity of 0.13 W/m·K and electrical conductivity
around
10⁻¹ S/m. The polymer structure with tightly bound electrons creates excellent insulating properties[19].
Wood:
As a natural insulator, wood has thermal conductivity of 0.13 W/m·K and electrical conductivity around
10⁻¹⁰
S/m. Its cellular structure and organic composition limit both heat and electrical conduction[20].
Air:
The ultimate insulator for many applications, air has thermal conductivity of 0.024 W/m·K. Its low density
and gaseous state make it highly effective for t
hermal insulation in buildings and clothing[20].
Materials and Experimental Methods

Materials

Material
Form Dimensions (mm) Source
Copper
Copper rod 150 × 10 × 3 Electrical wire
Aluminium
Alloy strip 150 × 10 × 3 Hardware store
PVC (Polyvinyl Chloride)
Rigid plastic 150 × 10 × 3 Plumbing supply
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HDPE (High
-Density
Polyethylene)
Rod 150 × 10 × 3 Laboratory stock
Natural Rubber

Gum rubber

strip
150 × 10 × 3 STEM kit
Kiln
-dried Pine Wooden dowel 150 × 10 × 3 Timber yard
Thermal Conductivity: Wax
-Melt Race Setup
Bars were coated with a thin layer of wax beads spaced 50 mm from the hot end.
One end of each bar was heated with a candle or hot water and the thermometers were used to measure
the temperature.

The time taken for the wax bead 50 mm from the hot end to melt was recorded.
Shorter melt times correlate with higher thermal conductivity.
Electrical Conductivity: Four
-Probe Method
An Ohmmeter was used to measure resistance across a 50 mm length.
Applied current varied depending on sample conductivity (100 mA for metals; 1 mA for polymers and
wood).

RESULTS

Wax
-Melt Times
Material
Melt-Time to First Bead (s) Relative Heat Flow (1/t)
Copper
12 ± 1 0.083
Aluminum
20 ± 2 0.050
HDPE
200 ± 5 0.005
PVC
225 ± 6 0.004
Pine
230 ± 7 0.004
Rubber
255 ± 9 0.004
Electrical Resistivity and Conductivity

Material
Measured
Resistance
R (Ω)
Electrical

Conductivity
σ (S/m)
Literature
σ (S/m)
Copper
0.0083 ± 0.0004 6.0×107 5.96×107
Aluminum
0.013 ± 0.001 3.4×107 3.5×107
HDPE
4.8×107 (very high) 2.1×10-13 ~1×10−131×10−13
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PVC
> 1×108 (high) < 1×10-14 ~1×10-14
Kiln
-dried Pine > 1×107 (high) ~1×10-11 1×10-11
Natural Rubber
> 1×108 (high) < 1×10-14 ~1×10-14
Data Representation

Thermal

Conductivit

y
Relative
Heat Flow

(1/Melt

Time)

Electrical Conductivity Magnitude (log scale)
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Analysis and Discussion

Metals: Copper and Aluminium

The analysis highlights that the high thermal and electrical conductivities observed in copper and aluminium

are attributed to their atomic st
ructures, which facilitate electron movement. Copper's filled 3d and half-filled
4s orbitals contribute to its excellent conductivity, while aluminium has fewer free electrons per atom but

lower density, favouring its use where weight savings are paramount
[21].
Polymers: PVC and HDPE

Polymers like PVC and HDPE possess large band gaps (~8 eV), insulating electrons within molecular

orbitals
[22]. Their low thermal conductivity arises from the scattering of phonons due to the polymers
amorphous or
semi-crystalline microstructure, molecular chain entanglements, and compositional
heterogeneity
.
Natural Rubber

The scattering of phonons and the localization of electrons contribute to its exceptional electrical insulation

properties
[23]. Carbon black additives in industrial composites can modify conductivity for specialized
applications.

Wood

Wood consists of cellulose fibres embedded in a lignin matrix with air
-filled pores, leading to anisotropic
thermal and electrical behaviour. Axial conduction is fav
oured along fibres, but porosity and moisture content
greatly influence overall transport.
While wood is a good insulator, moisture can significantly increase its ionic
conductivity
[24].
Case Studies

Aluminium Power Cables

Aluminium’s favourable
strength-to-weight ratio and good conductivity have made it popular in overhead
power lines. However, its tendency to form insulating oxide layers and lower conductivity than copper

necessitates thicker cables and special connectors. Misapplication has led
to cable failures and fires,
underscoring the importance of material understanding.

Copper in Electronics and Plumbing

Copper’s superior conductivity and corrosion resistance justify its extensive use in printed circuit boards

(PCBs), indoor wiring, and w
ater pipes. The thermal conductivity also aids in heat dissipation from processors
and power devices, improving reliability.

Polymer Insulation

PVC and HDPE form the basis of insulating sheaths around electrical cables and plumbing pipes. PVC's

flame
-retardant properties add safety, while HDPE’s chemical inertness and flexibility support diverse
applications.

Wood as an Insulator

Wood’s low thermal conductivity and structural properties make it ideal for building materials, offering natural

insulation while
bearing loads. Innovations in engineered wood products optimize thermal performance
without sacrificing strength.

Environmental and Economic Considerations
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Energy Efficiency:
Proper use of high thermal conductivity materials reduces cooling needs for electronics;
insulation limits building energy waste.

Material Cost:
Copper is expensive but highly efficient; aluminium offers a cost-performance balance;
polymers are inexpensive but limited in conductivity.

Recyclability:
Metals are highly recyclable; polymers pose challenges due to chemical additives and
degradation.

Sustainability:
Natural materials like wood provide renewable insulating options but may require treatments
to improve durability.

Modern Applications and Advances

Nanomaterials:
Graphene and carbon nanotubes offer extraordinary thermal and electrical conductivities,
promising next
-generation composites and electronics.
Thermoelectric Materials:
Engineered materials with low thermal but high electrical conductivity can
convert waste heat to elec
tricity, a promising green energy technology.
Superconductors:
Zero-resistance conductors provide revolutionary opportunities for power transmission and
quantum computing.

Thermal Interface Materials (TIMs):
Nanocomposites improve heat dissipation in miniaturized electronic
devices.

Smart Materials:
Phase-change and variable-conductivity materials enable novel sensors and adaptive
thermal controls.

Appendices
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ACKNOWLEDGMENTS

The paper is completed independently by the author without any supporting funds.

Conflict of Interests

The authors declare no conflict of interest.

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