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Page 1 of 24 SEMICONDUCTOR ELECTRONICS CLASSIFICATION OF SOLIDS On the basis of conductivity On the basis of the relative values of electrical conductivity (σ ) or resistivity (ρ = 1/σ ), the solids are broadly classified as: • Metals: They possess very low resistivity (or high conductivity). • Semiconductors: They have resistivity or conductivity intermediate to metals and insulators. Elemental semiconductors: Si and Ge Compound semiconductors: Inorganic: CdS, GaAs, CdSe, InP, etc. Organic: anthracene, doped pthalocyanines, etc. Organic polymers: polypyrrole, polyaniline, polythiophene, etc. • Insulators: They have high resistivity (or low conductivity). ENERGY BANDS IN SOLIDS In a solid each electron will have a different energy level. The energy levels with continuous energy variation are called energy bands. The gap between energy bands- forbidden energy gap The energy band which includes the energy levels of the valence electrons is called the valence band. The energy band above the valence band is called the conduction band. Metals The valence band and conduction band are overlapped each other. Page 2 of 24 Insulator The band gap energy is greater than 3 eV The electrons in the valence band all remain bound and no free electrons are available in the conduction band. Semi conductors The energy gap is small (<3 eV ) compared to insulators. SEMICONDUCTORS At low temperatures all the energy levels in the valence band are filled and conduction band is empty- semiconductor behaves as an insulator. At room temperature some electrons leaves valence band and reaches conduction band and helps in conduction process. Page 3 of 24 The vacancy of electrons (deficiency of electrons) in valence band is called hole. A hole is equivalent to a positive charge. In a semiconductor both electrons and holes are charge carriers. Commonly used semiconductors are Si and Ge. Every Si or Ge atom tends to share one of its four valence electrons with each of its four nearest neighbor atoms, and also to take share of one electron from each such neighbor. As the temperature increases, more thermal energy becomes available to these electrons and some of these electrons may break–away and holes are created. In semi conductors electrical resistivity decreases with increase in temperature. In general semiconductors can be classified as intrinsic semiconductors and extrinsic semi conductors. INTRINSIC SEMICONDUCTOR • Semiconductor in its pure form - intrinsic semiconductors. • .In intrinsic semiconductors, the number of free electrons, ne is equal to the number of holes, nh. • Under the action of an electric field, these holes move towards negative potential giving the hole current, Ih. • The total current, I is thus the sum of the electron current Ie and the hole current Ih: Page 4 of 24 An intrinsic semiconductor at T = 0 K behaves like insulator. (b) At T > 0 K, conductivity increases due to thermally generated electron-hole pairs. EXTRINSIC SEMICONDUCTOR • When a small amount of a suitable impurity is added to the pure semiconductor, the conductivity of the semiconductor is increased manifold. Such materials are known as extrinsic semiconductors or impurity semiconductors. • The deliberate addition of a desirable impurity is called doping and the impurity atoms are called dopants. Such a material is also called a doped semiconductor. • There are two types of dopants used in doping the tetravalent Si or Ge: • Pentavalent (valency 5); like Arsenic (As), Antimony (Sb), Phosphorous (P), etc • Trivalent (valency 3); like Indium (In), Boron (B), Aluminium (Al), etc. n-type semiconductor • When an atom of +5 valency element occupies the position of an atom in the crystal lattice of Si, four of its electrons bond with the four silicon neighbors while the fifth remains very weakly bound to its parent atom. • Thus, the pentavalent dopant is donating one extra electron for conduction and hence is known as donor impurity. • The number of electrons made available for conduction by dopant atoms depends strongly upon the doping level and is independent of any increase in ambient temperature. Page 5 of 24 • In an extrinsic semiconductor doped with pentavalent impurity, electrons become the majority carriers and holes the minority carriers. • These semiconductors are, therefore, known as n-type semiconductors. • For n-type semiconductors, we have, p-type semiconductor • This is obtained when Si or Ge is doped with a trivalent impurity like Al, B, In, etc. • The dopant has one valence electron less than Si or Ge and, therefore, this atom can form covalent bonds with neighbouring three Si atoms but does not have any electron to offer to the fourth Si atom. So the bond between the fourth neighbour and the trivalent atom has a vacancy or hole. • Since the neighbouring Si atom in the lattice wants an electron in place of a hole, an electron in the outer orbit of an atom in the neighbourhood may jump to fill this vacancy, leaving a vacancy or hole at its own site. • The trivalent impurity atom which accepts the electron is called an acceptor atom. • Thus, for such a material, the holes are the majority carriers and electrons are minority carriers. Page 6 of 24 • Therefore, extrinsic semiconductors doped with trivalent impurity are called p-type semiconductors. p-n JUNCTION A junction formed when a p-type semiconductor and n-type conductor are brought together is called a p-n junction. Formation of a p-n junction Two important processes occur during the formation of a p-n junction: diffusion and drift Diffusion • • • The holes diffuse from p-side to n-side (p → n) and electrons diffuse from n-side to p-side (n → p). Due to diffusion, a layer of positive charge (or positive space-charge region) is developed on n-side of the junction and a layer of negative charge (or negative space-charge region) is developed on the p-side of the junction . Depletion region The space-charge region on either side of the junction together is known as depletion region as the electrons and holes taking part in the initial movement across the junction depleted the region of its free charges. Drift • • • Due to the positive space-charge region on n-side of the junction and negative space charge region on p-side of the junction, an electric field directed from positive charge towards negative charge develops. Due to this field, an electron on p-side of the junction moves to n-side and a hole on n- side of the junction moves to p-side. The motion of charge carriers due to the electric field is called drift. As the diffusion process continues, the space-charge regions on either side of the junction extend, thus increasing the electric field strength and hence drift current. Page 7 of 24 • • • • This process continues until the diffusion current equals the drift current. In a p-n junction under equilibrium there is no net current. The potential difference produced due to the diffusion of charge carriers across a p-n junction is called barrier potential. The barrier potential limits further diffusion of holes and electrons. SEMICONDUCTOR DIODE (p-n junction Diode) • • A semiconductor diode is a p-n junction with metallic contacts provided at the ends for the application of an external voltage. It is a two terminal device. p-n junction diode under forward bias • When an external voltage V is applied across a semiconductor diode such that p-side is connected to the positive terminal of the battery and n-side to the negative terminal, it is said to be forward biased. • Due to the applied voltage, electrons from n-side cross the depletion region and reach p-side (where they are minority carries). Similarly, holes from p-side cross the junction and reach the n-side (where they are minority carries). This process under forward bias is known as minority carrier injection. In forward bias The height of the barrier potential reduces for majority carriers. The junction offers a very low resistance to the flow of current. The current increases sharply with forward voltage The width of depletion layer decreases. • • • Page 8 of 24 p-n junction diode under reverse bias • When an external voltage (V ) is applied across the diode such that n-side to positive and p-side to negative, it is said to be reverse biased. The barrier height increases and the depletion region widens due to the change in the electric field. • This suppresses the flow of electrons from n → p and holes from p → n. • The current under reverse bias is essentially voltage independent up to a critical reverse bias voltage, known as breakdown voltage (Vbr ). • In reverse bias Height of barrier potential increases Junction resistance is very high for current flow The reverse current is very low and is due to minority carriers. The width of depletion layer increases. Forward and reverse characteristics of a Diode • • • • Forward characteristics are the graph between voltage and current of a forward biased diode. After the characteristic voltage, the diode current increases significantly (exponentially), even for a very small increase in the diode bias voltage. This voltage is called the threshold voltage or cut-in voltage (~0.2V for germanium diode and ~0.7 V for silicon diode). Voltage beyond which the current begins to rise sharply is called knee voltage. Page 9 of 24 • • • For the diode in reverse bias, the current is very small (~μA) and almost remains constant with change in bias. It is called reverse saturation current. When the reverse voltage attains a certain value, reverse current increases very rapidly and the voltage is called breakdown voltage.- the phenomenon is called Zener effect The breakdown of the diode at the critical reverse voltage due to the increased production of electron-hole pair is called avalanche breakdown . Dynamic resistance It is the ratio of small change in voltage ΔV to a small change in current ΔI: APPLICATION OF JUNCTION DIODE AS A RECTIFIER • The process of conversion of ac current to dc current is called rectification. Half wave Rectifier: • • • It uses only one diode. The diode becomes forward biased only in the positive half cycle of ac. Efficiency is only 40.6%. Full wave rectifier • • • A simple full wave rectifier consists of two diodes. A centre tapped transformer is used in the circuit During the positive half cycle first diode conducts current and second diode during negative half cycle. Page 10 of 24 Filters • • • • • The rectified voltage is in the form of pulses of the shape of half sinusoids. The circuits used to filter out the ac ripple and give a pure dc voltage, are called filters. The rate of fall of the voltage across the capacitor depends upon the inverse product of capacitor C and the effective resistance RL used in the circuit and is called the time constant. The capacitor input filters use large capacitors. The output voltage obtained by using capacitor input filter is nearer to the peak voltage of the rectified voltage. This type of filter is most widely used in power supplies. SPECIAL PURPOSE p-n JUNCTION DIODES Zener diode • • • • It is designed to operate under reverse bias in the breakdown region and used as a voltage regulator. It is developed by C. Zener Zener diode is fabricated by heavily doping both p-, and n- sides of the junction. When the applied reverse bias voltage (V) reaches the breakdown voltage (Vz) of the Zener diode, there is a large change in the current. Page 11 of 24 • Zener voltage remains constant, even though current through the Zener diode varies over a wide range. This property of the Zener diode is used for regulating supply voltages so that they are constant. Zener diode as a voltage regulator: • • • • • • • • The unregulated dc voltage (filtered output of a rectifier) is connected to the Zener diode through a series resistance Rs such that the Zener diode is reverse biased. If the input voltage increases, the current through Rs and Zener diode also increases. This increases the voltage drop across Rs without any change in the voltage across the Zener diode. This is because in the breakdown region, Zener voltage remains constant even though the current through the Zener diode changes. Similarly, if the input voltage decreases, the current through Rs and Zener diode also decreases. The voltage drop across Rs decreases without any change in the voltage across the Zener diode. Thus any increase/ decrease in the input voltage results in, increase/ decrease of the voltage drop across Rs without any change in voltage across the Zener diode. Thus the Zener diode acts as a voltage regulator. Optoelectronic junction devices: • Devices in which conductivity changes due to photo-excitation Page 12 of 24 Photodiode • A heavily doped p-n junction diode with a transparent window • Used as a photo detector. • Operated under reverse bias • When light (photons) with energy (hν) greater than the energy gap (Eg) of the semiconductor falls at the junction electron-hole pairs are generated. • Due to the reverse bias the electrons move to n- region and holes to p-region giving rise a current in the external circuit. • The current increases with intensity of light. • A photodiode can be used as a photo detector to detect optical signals. Symbol Light emitting diode (LED) • • • • • • • • • • • • • It is a heavily doped p-n junction in forward bias. The diode is encapsulated with a transparent cover The biasing electrical energy is converted as light energy. When an electron makes a transition from conduction band to valance band photons with energy equal to or slightly less than the band gap are emitted. As the forward current increases, intensity of light increases and reaches a maximum. The V-I characteristics of a LED is similar to that of a Si junction diode. But the threshold voltages are much higher and slightly different for each colour. The reverse breakdown voltages of LEDs are very low, typically around 5V. LEDs that can emit red, yellow, orange, green and blue light are commercially available. The semiconductor used for fabrication of visible LEDs must at least have a band gap of 1.8 eV (spectral range of visible light is from about 0.4 μm to 0.7 μm, i.e., from about 3 eV to 1.8 eV). The compound semiconductor Gallium Arsenide – Phosphide is used for making LEDs of different colours. GaAs0.6 P0.4 (Eg ~ 1.9 eV) is used for red LED. GaAs (Eg ~ 1.4 eV) is used for making infrared LED. These LEDs find extensive use in remote controls, burglar alarm systems, optical communication, etc. Page 13 of 24 LEDs have the following advantages over conventional incandescent low power lamps: • Low operational voltage and less power. • Fast action and no warm-up time required. • The bandwidth of emitted light is 100 Å to 500 Å or in other words it is nearly (but not exactly) monochromatic. • Long life and ruggedness. • Fast on-off switching capability. Symbol Solar cell • A solar cell is basically a p-n junction which generates emf when solar radiation falls on the pn junction. • • • • • . The generation of emf by a solar cell, when light falls on, it is due to the following three basic processes: generation, separation and collection— Generation of e-h pairs due to light (with hν > Eg) close to the junction; Separation of electrons and holes due to electric field of the depletion region. Electrons are swept to n-side and holes to p-side; The electrons reaching the n-side are collected by the front contact and holes reaching p-side are collected by the back contact. Thus p-side becomes positive and n-side becomes negative giving rise to photo voltage. Semiconductors with band gap close to 1.5 eV are ideal materials for solar cell fabrication. Page 14 of 24 • • Solar cells are made with semiconductors like Si (Eg = 1.1 eV), GaAs (Eg = 1.43 eV), CdTe (Eg = 1.45 eV), CuInSe2 (Eg = 1.04 eV), etc. The important criteria for the selection of a material for solar cell fabrication are (i) band gap (~1.0 to 1.8 eV), (ii) high optical absorption (~104 cm–1), (iii) electrical conductivity, (iv) availability of the raw material, and (v) cost. JUNCTION TRANSISTOR • • • • • • Invented by J. Bardeen and W.H. Brattain of Bell Telephone Laboratories, U.S.A. A transistor has three doped regions forming two p-n junctions between them- hence called bipolar junction transistor. Two types are- n p n transistor and p n p transistor Emitter: Moderate size and heavily doped. It supplies a large number of majority carriers for the current flow through the transistor. Base: This is the central segment. It is very thin and lightly doped. Collector: This segment collects a major portion of the majority carriers supplied by the emitter. It is moderately doped and larger in size as compared to the emitter. Working of a transistor • • • The transistor works as an amplifier, with its emitter-base junction forward biased and the base-collector junction reverse biased. The heavily doped emitter has a high concentration of majority carriers (holes in a p-n-p transistor and electrons in an n-p-n transistor.) These majority carriers enter the base region in large numbers. Page 15 of 24 n-p-n Transistor • The electrons from the emitter diffuse into the base (emitter current) and holes from the base diffuse into emitter. • Since base is thin most of the electrons reach the collector and produces collector current. • The recombination of electrons with holes at base constitutes base current which is very small. • The emitter current is the sum of collector current and base current: p-n-p Transistor Basic transistor circuit configurations and transistor characteristics • The transistor can be connected in three configurations: 1. Common Emitter (CE), 2. Common Base (CB), 3. Common Collector (CC) Page 16 of 24 Common emitter transistor characteristics • • • The emitter is common to both input and output The input is between the base and the emitter and the output is between the collector and the emitter. The input and the output characteristics of an n-p-n transistors can be studied by using the circuit below: Input characteristics • The variation of the base current IB with the base-emitter voltage VBE at constant collector emitter voltage is called the input characteristic. AC Input resistance (ri): • This is defined as the ratio of change in base emitter voltage (ΔVBE) to the resulting change in base current (ΔIB) at constant collector-emitter voltage (VCE). Page 17 of 24 Output characteristics • The variation of the collector current IC with the collector-emitter voltage VCE at constant base current is called the output characteristic. AC Output resistance (ro): • This is defined as the ratio of change in collector-emitter voltage (ΔVCE) to the change in collector current (ΔIC) at a constant base current IB . Current amplification factor • It is the ratio of output current to input current Common base • The base is common to both input and output • Current amplification factor α = IC/IE • value of α ranges from 0.9-0.99 Common collector • Collector is common to both input and output • Current amplification factor γ = IE/IB • Its value is greater than that of β Common emitter • In CE configuration it is the ratio of the change in collector current to the change in base current at a constant collector-emitter voltage (VCE). • This is also known as small signal current gain and its value is very large. Page 18 of 24 • The dc β of the transistor is given by • The value of β ranges from 20-500 Relation between α and β • • • • We have Thus But Thus IC = α IE β = α IE / I B IE= IB + IC , IB= IE - IC β = (αIE/IB) = α IE / (IE-IC ) = α /( 1- α ) Transistor as a device The transistor can be used as a device application depending on the configuration used (namely CB, CC and CE), the biasing of the E-B and B-C junction and the operation region namely cutoff, active region and saturation. Page 19 of 24 Variation of output voltage with input A graph connecting input voltage and output voltage of transistor is given below. Cut off region • In the case of Si transistor, as long as input Vi is less than 0.6 V, the transistor will be in cut off state and current IC will be zero. • Hence Vo = Vcc Active region When Vi becomes greater than 0.6 V the transistor is in active state with some current IC in the output path and the output Vo decreases. With increase of Vi, IC increases almost linearly and so Vo decreases linearly till its value becomes less than about 1.0 V. Amplifier is working in active region Saturation region When Vo becomes 1V the change becomes non linear and transistor goes into saturation state and further increase in Vi , Vo decreases towards zero. Transistor as a switch When the transistor is used in the cutoff or saturation state it acts as a switch. When Vi is low Vo is high (Vo= Vcc) In this stage transistor doesn’t conduct-switched off. When Vi is high enough to drive the transistor into saturation, then Vo is low, very near to zero. When it is driven into saturation it is said to be switched on. Thus a low input switches the transistor off and a high input switches it on. Transistor as an amplifier • For using the transistor as an amplifier we will use the active region of the Vo versus Vi curve. • To operate the transistor as an amplifier it is necessary to fix its operating point somewhere in the middle of its active region. Page 20 of 24 • • • • • The slope of the linear part of the curve represents the rate of change of the output with the input. It is negative because the output is VCC – ICRC and not ICRC. If we consider ΔVo and ΔVi as small changes in the output and input voltages then ΔVo/ΔVi is called the small signal voltage gain AV of the amplifier. The negative sign represents that output voltage is opposite with phase with the input voltage. The power gain Ap can be expressed as the product of the current gain and voltage gain. Page 21 of 24 Feedback amplifier and transistor oscillator • • • Oscillator is a device used to convert dc voltage into ac voltage. When a portion of the output power of an amplifier is returned back (feedback) to the input in phase with the starting power (this process is termed positive feedback) it acts as an oscillator. The feedback can be achieved by inductive coupling (through mutual inductance) or LC or RC networks. Transistor oscillator • The resonance frequency (ν ) of this tuned circuit determines the frequency at which the oscillator will oscillate. Page 22 of 24 • There are many other types of tank circuits (say RC) or feedback circuits giving different types of oscillators like Colpitt’s oscillator, Hartley oscillator, RC-oscillator. DIGITAL ELECTRONICS AND LOGIC GATES • In digital circuits only two values (represented by 0 or 1) of the input and output voltage are permissible. Logic gates • • A gate is a digital circuit that follows curtain logical relationship between the input and output voltages. Therefore, they are generally known as logic gates — gates because they control the flow of information. The five common logic gates used are NOT, AND, OR, NAND, NOR. NOT gate • • • • This is the most basic gate, with one input and one output. It produces an inverted version of the input at its output. It is also known as an inverter. The table which describes the input output relationship is known as truth table. Page 23 of 24 Truth table and symbol OR Gate It can have one output and any number of inputs Truth table and symbol AND Gate It can have one output and any number of inputs Truth table and symbol NAND Gate It is a combination of AND and NOT Gate Truth table and symbol Page 24 of 24 NOR Gate It is a combination of OR gate and NOT gate Truth table and symbol INTEGRATED CIRCUITS ( IC ) • The most widely used technology is the Monolithic Integrated Circuit. • Depending on nature of input signals, IC’s can be grouped in two categories: (a) linear or analogue IC’s and (b) digital IC’s. *****