3.Quantum confinement:
Transition from classical laws to
quantum mechanical laws of physics occurs when dimension of a particle
approaches to atomic level. All phenomenon at microscopic level cannot be
described without considering the concepts of basic quantum mechanics. The
movement of electrons in crystals, chemical bonds and properties of atoms can
be explained through quantum mechanics. When the material approaches towards
nanoscale size its electronic and optical properties are completely different
from those of the bulk materials.
The most popular term in the nano
world is quantum confinement effect which is essentially due to changes in the
atomic structure as a result of direct influence of ultra-small length scale on
the energy band structure.
The length scale corresponds to the
regime of quantum confinement ranges from 1 to 25 nm for typical semiconductor
groups of IV, III-V and II-VI. In which the spatial extent of the electronic
wave function is comparable with the particle size. As a result of these “geometrical”
constraints, electrons “feel” the presence of the particle boundaries and
respond to changes in particle size by adjusting their energy. This phenomenon
is known as the quantum-size effect. A fundamental principle of wave particle
duality states that all the matter (nuclei, electron, and photon) behaves as
both wave and particle. The quantum effect of confinements becomes important
when at least one of the dimensions of solid becomes comparable to the
particles de Broglie wavelength which is given as 𝜆 = ℎ √2𝑚𝐸, where m is mass of the particle and E is energy.
The quantum confinement effect (QCE)
comes into the picture when the diameter of the particle approaches to de
Broglie wavelength of electron wave function. When the confining dimension for
a particle is large as compared to the wavelength associated with the particle
then the particle behaves as it is free. The band gap of the material at this
stage remains unchanged due to continuous energy levels, however at nanoscale
the energy states becomes discrete and the energy bandgap changes from the
original one. As a result, the bandgap of nanomaterials becomes shape and size
dependent. On optical illumination there is blue shift in absorption spectra
due to decrease in shape and size of the material. In semiconductor materials
when a photon of sufficient energy strikes on the surface then electron from
valence band moves to conduction band leaving a positively charged hole in the
valence band. This electron hole pair is called excitons. When these excitons
are squeezed into a dimension approaches to exciton Bohr radius then quantum
confinement effect dominates. Due to three dimensional spatial confinements of
excitons their movement is restricted in all directions and the dimension of
the nanomaterials becomes zero dimensional. The exciton Bohr radius is given by Bohr exciton radius which makes
materials properties size dependent. In general, the Bohr radius of a particle
is defined as:
where ε is the dielectric constant of
the material, m* is the mass of the particle, m is the rest mass of the
electron, and a0 is the Bohr radius of the hydrogen atom. When the
particle size approaches Bohr exciton radius, the quantum confinement effect
causes increasing of the excitonic transition energy and blue shift in the
absorption and luminescence band gap energy. In addition, quantum confinement
leads to a collapse of the continuous energy bands of a bulk material into
discrete, atomic like energy levels. The discrete structure of energy states
leads to a discrete absorption spectrum, which is in contrast to the continuous
absorption spectrum of a bulk semiconductor as shown in Fig.
2-D or Quantum Wells: The carriers
act as free carriers in a plane. First observed in semiconductor systems
1-D or Quantum Wires: The carriers
are free to move down the direction of the wire
0-D or Quantum Dots: Systems in which
carriers are confined in all directions (no free carriers)
One of the most direct effects of
reducing the size of materials to the nanometer range is the appearance of
quantization effects due to the confinement of the movement of electrons. This
leads to discrete energy levels depending on the size of the structure as it is
known from the simple potential well treated in introductory quantum mechanics.
Following these line artificial structures with properties different from those
of the corresponding bulk materials can be created. Control over dimensions as
well as composition of structures thus makes it possible to tailor material
properties to specific applications.
4.EXCITONS
An exciton is a bound state of an electron and an electron
hole which are attracted to each other by the electrostatic Coulomb force. It
is an electrically neutral quasiparticle that exists in insulators,
semiconductors and in some liquids. An exciton can form when a photon is
absorbed by a semiconductor. This excites an electron from the valence band
into the conduction band. In turn, this leaves behind a positively charged
electron hole. The electron in the conduction band is then effectively
attracted to this localized hole by the repulsive Coulomb forces from large
numbers of electrons surrounding the hole and excited electron. This attraction
provides a stabilizing energy balance.
The excitons radius can be taken as an index of extent of
confinement experienced by a nanoparticle. If the dimension of nanoparticles
(d) is greater that radius of exciton (aeff), it is the weak
confinement region, and if d< aeff, it is strong confinement
region, and if d>>aeff, no confinement. Under weak confinement
conditions, the excitons can undergo unrestricted translational motion. But for
strong confinement this translational motion is restricted. There is an
increase in overlap of electron and hole wavefunctions with decrease in
particle size and thereby enhanced electron hole interaction. An optical index
of confinement is the blue shift (shift to higher energies) of optical
absorption edge and exciton energy with decrease in nanoparticles size.
Quantum dots generally consist of an
inorganic semiconductor core which is surrounded by a shell and a cap which is
responsible for improved solubility in aqueous buffers.
Based on bandgaps and relative position of valance band and
conduction band of the semiconductors involved in core shell structure, the
structure of quantum dots can be described in four types.
§ Type – 1
§ Inverse type – 1
§ Type – 2
§ Inverse type – 2
In type 1, the band gap of semiconductor core material is
smaller than that of the shell material and the band gap of the core completely
falls in the shells band gap. The excited electrons and holes are completely
confined in core region of type 1 core shell structure.
In inverse type 1, the band gap of the core is greater than
that of shell, which results the band gap of shell to lie within the band gap
of core. The excited electrons and holes depending on the thickness of the
shells are confined partially or completely within the shell.
In type 2, valence band of the core lies in the bandgap of
the shell or conduction band of the shell lies in the bandgap of core. In type
2, one of the electron or hole is confined to the core while other one is
confined to the shell.
In Inverse type 2, the valence band edge of the shell lies
within the bandgap of the core whereas conduction band edge of the core lies
with the bandgap of shell. In this type of structure one of the charge carrier
electrons or holes is delocalized in the core shell structure while the other
one is confined in core.
In type 1 core/shell structure the shell enhances the optical
properties of the core by passivating the surface of the core. The shell
actually acts as a physical barrier and separates the core from surrounding
environment. Core/shell structure are stable for long terms against photo
degradation. The growth of the shell reduces the surface dangling bonds which
may acts as a trap state for electrons and holes and hence reduces
fluorescence. The first published report on type 1 core shell structure is CdSe/ZnS
[82]. The ZnS shell increases the fluorescence quantum yield and makes the
structure stable against photo bleaching. With the growth of the shell the
absorption peaks shift towards red (5–10 nm) in UV-Vis absorption spectrum in wavelength
of photoluminescence. The other examples of type 1 structures are CdSe/CdS,
CdS/ZnS.
In reverse type 1, material with smaller bandgap is grown on
the core which has larger bandgap. With the increasing thickness of the shell a
significant red shift in bandgap has been observed. By growing another shell of
larger bandgap on reverse type 1 structure, the quantum yield can be improved.
Some of examples of reverse type 1 are ZnSe/CdSe, CdSe/ZnTe, CdS/CdSe and
CdS/HgS.
Type 2 shell structure is made with an aim to have a
significant red shift in emission wavelength of the quantum dots. The band
alignment in this case leads to effective narrow bandgap as compared to the
individual core and shell materials. By manipulating the shell thickness the
emission color can be changed. The focus is to shift emission color towards
mare spectral range which is quite difficult to attain from other materials.
Far near infra-red emission type 2 core shell quantum dots.
have been developed. CdTe/CdSe, CdSe/ZnSe, CdSe/ZnTe are some
of the examples of type 2 core shell structures. Apart from traditional
semiconductor quantum dots, carbon quantum dots (CQDs) are nanomaterials with
prominent fluorescence properties. CQDs consist of a carbogenic core with
surface groups attached to them. Most CQDs have an amorphous core with sp2
carbon, the lattice spacing of which is same as of graphite. Presence of oxygen
on most of the CQDs surface enhances its solubility in aqueous solution and can
also further be functionalized as compared from other nanomaterials of carbon
such as graphene and carbon nanotubes.
Protection of the quantum dots structure and enhancement of its
air stability
Quantum dots are generally stored in an inert atmosphere as they degrade when exposed to air. Such a strict condition is not feasible for its wider application in industries. In orders to protect the quantum dots structure and to enhance its air stability, a number of organic and inorganic coatings have been developed. Surface coating not only provides stability but also plays an important role in tuning the properties of quantum dots. The surface modification through organic molecules is carried out by modifying the surface with a suitable functional group. Generally, an organic molecule is adsorbed on the surface of quantum dots and acts as a capping agent. The essential chemical approachability far the quantum dot is provided by the capping agent by altering the terminal groups of the ligands to the outer environment. For example, quantum dots with hydrophobic capping agent cannot be utilized in applications where aqueous solubility is required. Some of the benefits of organic capping agents over the surface of quantum dot includes simultaneous achievement of colloidal suspension and capacity to bio- conjugated the quantum dots.
7.Synthesis of the Quantum Dots
There are two main way to synthesize
the quantum dots one is called top down approach and other one is bottom up
approach. The schematic representation of the preparative methods of the
quantum dots.
Bottom-up approach: Bottom-up, or self-assembly, approaches to nanofabrication use chemical or physical forces operating at the nanoscale to assemble basic units into larger structures. A number of different self-assembly techniques have been used to synthesize the Q- dots, and they may be broadly subdivided into wet-chemical and vapor-phase methods. Microemulsion, sol-gel, competitive reaction chemistry, hot-solution decomposition, and electrochemistry are generally placed in the category of wet-chemical methods. Self-assembly of nanostructures in material grown by molecular beam epitaxy (MBE), sputtering, liquid metal ion sources, or aggregation of gaseous monomers are generally categorized under vapor-phase methods.
1) Hot Injection
method
this method is first given by Lamer
and Dinegar in which they show how the production of monodispesed colloids is
dependent on rapid nucleation followed by controlled growth of the existing nuclei.
Using this method Bawendi and co-workers first synthesized CdS, CdSe
and CdTe QDs and termed this method as hot injection method. This method
involves the formation of homogeneous nuclei by rapid injection of
organometallic reagents into a hot solvent. The reaction solution also contains
ligands or capping agents in order to prevent agglomeration in QDs. In a
typical procedure, first of all surfactant like tri-octyl
phosphine (TOPO) is degassed and
dries at temperature of 300 °C in vacuum. After this, a moisture free Cd
precursor and tri-n-octylphosphine selenide is prepared and injected into the
hot solution while rigorous stirring. This leads to homogeneous nucleation to
form QDs with subsequent growth through ostwald ripening. In ostwald ripening,
the
high free energy of smaller QDs lose
its mass to large size which resists and slows down the growth of smaller dots.
The co-ordinating ligands, capping agents and solvent plays an important role
in preventing agglomeration. Reaction time and temperature is the main
parameters for regulating the size. For different sizes of QDs aliquots are
taken out from the flask at regular interval of time. This method has been used
for the systems of II-IV and III-V quantum dots. This process suffers loss due
to high temperatures and toxicity of some organometallic precursors.
2) Physical
vapour deposition:
In physical vapour
deposition (PVD), from a solid or liquid phase material is vaporized in the
form of atoms or molecules and transported through vacuum or low-pressure gases
in the form of vapour i.e. taking plasma to that substrate where condensation
occurs. The most commonly used PVD technique for industrial application is
sputtering. In sputtering, a target material is bombarded with gaseous ions
under high voltage acceleration. Due to momentum transfer from the incoming
particle atoms and molecules are ejected from the target. For example SiGe, Si
and CdSe/CdTe quantum dots prepared through physical vapour deposition.
3) Sol-gel
process
In this procedure a sol
(colloidal solution) is prepared using a metal precursor in acidic or basic
medium. The formation of sol is followed by the formation of gel which has both
liquid and solid phase whose morphologies ranges from discrete particles to
polymer chains. The steps involved in this procedure are hydrolysis,
condensation (sol) and growth (gel formation). This method has been used for
the synthesis of CdS, CdSe, CdTe, ZnO, TiO2 quantum dots.
4) Hydrothermal
Method
This is a process of synthesizing
single crystals, depending on solubility of aqueous solution in hot water at
high temperature and pressure. The temperature should be monitored during crystallization
process. At higher temperature, solvent dissolves whereas at lower cooler
temperature nanoparticle growth occurs. The hydrothermal process occurs in special equipment:
Hydrothermal Autoclave Reactor: It is a type of cylindrical vessel designed in
such a way that it can withstand high temperature and pressure. Material of the
autoclave needs to be resistant to solvent. Most commonly use autoclave is made
up of Teflon which can withstand temperature of 250 °C easily. In order to
avoid corrosive effect between solvent and interior material of autoclave,
special protecting coatings are applied. This method has been used for
preparation of many quantum dots such as carbon, graphene, CdSe, ZnS and MoS2
etc.
Ø Top-down
approach:
Top-down approach involves the
breaking down of the bulk material into nanosized structures or particles. Top-down
approaches are inherently simpler and depend either on removal or division of
bulk material or on miniaturization of bulk fabrication processes to produce
the desired structure with appropriate properties. Electron Beam Lithography,
Laser Ablation, and Wet Chemical Etching are commonly used methods for the
synthesis of quantum dots. In order to get a controlled shape and size of QDs,
a series of experiments on quantum confinement effect is required. These
methods of top-down approach suffer drawbacks of structural defects and
incorporation of impurities during synthesis process.
In the top-down approaches, a bulk
semiconductor is thinned to form the Q-dots. Electron beam lithography,
reactive-ion etching and/or wet chemical etching are commonly used to achieve Q-dots
of diameter ~30 nm. Controlled shapes and sizes with the desired packing
geometries are achievable for systematic experiments on quantum confinement
effect. Alternatively, focused ion or laser beams have also been used to
fabricate arrays of zero-dimension dots. Major drawbacks with these processes
include incorporation of impurities into the Q-dots and structural
imperfections by patterning. Etching, known for more than 20 years, plays a
very important role in these nanofabrication processes. In dry etching, a
reactive gas species is inserted into an etching chamber and a radio frequency
voltage is applied to create a plasma which breaks down the gas molecules to
more reactive fragments. These high kinetic energy species strike the surface
and form a volatile reaction product to etch a patterned sample. When the
energetic species are ions, this etching process is called reactive ion etching
(RIE). With a masking pattern, selective etching of the substrate is achieved.
Fabrication of GaAs/AlGaAs quantum structures as small as 40 nm has been
reported using RIE with a mixture of boron trichloride and argon [183]. This
RIE process has been used to produce close-packed arrays for testing of lasing
in Q-dot semiconductors. Close packed arrays of ZnTe Q-dots with interdot
distance of 180 nm to 360 nm were produced by RIE using CH4 and H2.
Focused ion beam (FIB) techniques also offer the possibility of fabricating Q-dots
with extremely high lateral precision. Highly focused beams from a molten metal
source (e.g., Ga, Au/Si, Au/Si/Be, or Pd/As/B) may be used directly to sputter
the surface of the semiconductor substrate. The shape, size and inter-particle
distance of the Q-dots depend on the size of the ion beam but a minimum beam
diameter of 8–20 nm has been reported for both lab and commercial systems,
allowing etching of Q-dots to dimensions of <100 nm. The FIB technique can
also be used to selectively deposit material from a precursor gas with a
resolution of ~100 nm. Scanning ion beam images (analogous to scanning electron
microscope images) can be developed by ion beam nanofabrication at the desired,
predetermined locations with high resolution. However, this is a slow, low
throughput process employing expensive equipment that leaves residual surface
damage. Another method to achieve patterns with Q-dots dimensions is the use of
electron beam lithography followed by etching or lift-off processes. This
approach offers a high degree of flexibility in the design of nanostructured
systems. Any shape of Q-dots, wires, or rings with precise separation and
periodicity may be realized with this technique. This method was successfully
employed for the synthesis of III-V and II-VI Q-dots with particle sizes as
small as 30 nm.
1) Electron Beam
Lithography
In this method, a focused electron
beam is scanned on a surface covered of electron sensitive film to design a
desired shape. The electron sensitive film is called resist and generally made
up of polymeric compound. The solubility of the resist film is changed by
electron beam which results into selective removal of either masked or exposed
region of resist by immersing it into a solvent. This whole process is termed
as developing process. The purpose of the developing process is to create a
small structure in the resist which can be further transferred to substrate
material through etching. A high degree of flexibility in designing
nanostructures such as quantum dots, quantum wells and nanorods can be made by
this technique. As small as 30nm of particle size of III-V and II-VI group QDs
can be employed by this technique.
2) Etching
Technique
In nanofabrication, etching process
plays an important role. In dry etching, a reactive gas is taken in an etching
chamber then with the help of controllable rf frequency voltage, a plasma is generated
in the chamber. These plasma breaks down the molecules of the gas into more
reactive fragments. These high energy species strike the patterned sample in
order to etch the desired area. When ions are taken as energetic species, the
etching process is termed as reactive ion etching (RIE). For selective etching
of substrate masking is carried out. ZnTe quantum dots were produced by RIE
using CH4 and H2 as reactive gases.
3) Laser
Ablation
When a beam of laser is focused on
the surface of a solid target material in an ambient media, the temperature of
irradiated portion gradually increases which results into vaporization of
target material. The collision between evaporated species (atoms/clusters) and
surrounding molecules generates electrons and holes forming laser induced
plasma plumes. The size of the plasma plumes depends on the ambient media,
pressure and laser intensity. In general, low pressure gas is preferable for
creating large plumes, which generates smaller particles. The laser generated
particles may easily form oxides and complexes with surrounding media, so to
prevent it the ambient media should carefully be chosen. Coagulation of
nanoparticles after formation is also critical issue which can be reduced by
working in low pressure media. In order to acquire a desired shape and size of
the quantum dots, laser source chosen plays an important role. The evaporation
rate of the target material on which laser is irradiated is determined by the
laser parameters such as laser source, wavelength, pulse and frequency.
8.Properties of the quantum dots
Ø Application
of Quantum Dots in Bioimaging Applications
Currently, magnetic resonance imaging (MRI), optical imaging,
and nuclear imaging are emerging as key imaging techniques in biological
systems. They differ in terms of sensitivity, resolution, complexity, acquisition
time and operational cost. However, these techniques are complementary to each
other most of the times. Recently much focus is given on using quantum dots as
optical imaging tools for biological systems. Some of the advantages of quantum
dots over traditional organic dyes are as-
Organic dyes have narrow excitation spectrum it means that
dyes can only be excited with a particular wavelength of light whereas quantum
dots can be excited by a range of wavelength making them ideal for multiplexed
imaging.
Quantum yield of quantum dots is higher and its saturation
intensity in aqueous conditions is larger as compared from organic
fluorophores. This makes quantum dots much brighter probes for imaging.
Organic dyes are unstable on exposure to light which results
short observation time in bioimaging whereas quantum dots are photostable even
on continuous exposure of light hence can be utilized for long term monitoring.
Q-dots fluorescence-based bioimaging can be broadly
classified into four types of modes: intensity, spectrum, lifetime and
time-gated. All of these modes can be used at the same time for multimodality
imaging. Generally, a high QY from Q-dots is required for intensity-based
imaging. On the other hand, their narrow emitting spectra make Q-dots suitable
for multiple colours imaging. The longer fluorescence lifetime of Q-dots
compared with that of tissue avoid the noise from autofluorescence. Therefore,
there is an advantage to use both lifetime and time-gated modes simultaneously.
PL from Q-dots has been a widely used tool in biology.
The use of NIR photons is promising for biomedical imaging in
living tissue due to longer attenuation distances and lack of autofluorescence
in the IR region. This technology often requires exogenous contrast agents with
combinations of hydrodynamic diameter, absorption, QY and stability that are
not possible with conventional organic dye.
Ø Quantum dot
LASER
Quantum dot laser is a semiconductor laser that uses quantum
dots as the active laser medium in its light emitting region. Due to the tight
confinement of charge carriers in quantum dots, they exhibit an electronic
structure similar to atoms. Improvements in modulation bandwidth, lasing
threshold, relative intensity noise, linewidth enhancement factor and
temperature insensitivity have all been observed. The quantum dot active region
may also be engineered to operate at different wavelengths by varying dot size
and composition. This allows quantum dot lasers to be fabricated to operate at
wavelengths previously not possible using semiconductor laser technology.
Ø Quantum dots
in photocatalytic application
quantum dot based composite catalysts are a good option for
the production of photocatalytic hydrogen. The reason for considering quantum
dot role on photocatalytic hydrogen production is due to its exceptional
properties such as absorption of light in visible region, multiple exciton
generation and better charge transport and separation properties. Photocatalytic
applications of CdSe, CdTe, CdS and TiO2 have been reported by many
groups. Outstanding photocatalytic performance has been observed in visible
light in active
CdTe/CdSe core shell quantum dots, Carbon quantum dots have
also been extensively used in a photocatalysis because of its chemical
stability, low toxicity and water solubility. The performance of the
photocatalytic efficiency mainly depends on separated and transport efficiency
of the photo-generated electrons and holes. However, recombination occurs due
to various kinds of defects. It has been demonstrated that carbon quantum dots
have large capability to store electrons, thus photo-excited electrons from
photocatalysts or semiconductor can be shuttled in the network of CQD which
shows declined recombination at function interface.
Ø Quantum dots
Sensitized Solar Cells
The use of quantum dots as a photo absorbing material in
solar cell fabrication is centre of attraction. The high absorption
coefficients are known to decrease the dark current which overall enhances the
efficiency of solar cells. By changing the size of quantum dots bandgap of it
can be tailored. This tunability of bandgap can control their absorption range.
The multiple exciton generation (MEG) which has been observed in some of the
quantum dots increase the charge carriers which as a result also increase the
efficiency of cell.
Ø Biosensor
CQDs have been used as biosensor carriers for their high
solubility in water, flexibility in surface modification, nontoxicity,
excitation-dependent multicolour emission, excellent biocompatibility, good
cell permeability, and high photostability. The CQDs-based biosensors can be
used for visual monitoring of glucose, cellular copper, phosphate, iron,
Potassium, and nuclic acid.
9.Conclusion
Quantum dots
due to its unique properties such as bandgap tunability, broad absorption,
narrow emission, multiple exciton generation and high quantum yield, can be the
best alternative to organic dyes used in photovoltaics, biosensing and
biomedical applications. Various synthesis techniques such as Laser ablation,
molecular beam epitaxy, chemical vapour deposition and chemical ablation have
been used for synthesizing QDs. Carbon QDs shows fluorescent properties and can
be used as a fluorescent probe in an optical sensor for detection of metal ions
and other analytes. Enhancement in fluorescent properties of QDs by surface
modification is the thrust area of research for its application in sensing and
bio imaging.
In the construction of quantum dot field-effect transistors (FETs), two primary configurations are predominantly utilized. The first, known as the bottom-gate configuration, employs a highly doped silicon wafer serving as the gate. This gate is insulated from the quantum dot (QD) film by a dielectric layer, typically silicon dioxide (SiO2). https://911electronic.com/quantum-dot-transistor-explanation/
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