Q 1/ Calculate the electrical conductivity of a metal if you know that its Fermi energy is 6 eV and that the effective mass -11 for an electron is S 10 and the electron concentration is 108 electrons per cm3. 1) -2.92x 10-65/m m/1065 x 6.23- (b )-3.54x 10-S/m m/10-65 x 1.66 (d
Q: (c) What is the stiffness of a typical interatomic bond in the alloy? i. 23.4 N/m ii. 11.7 N/m i.…
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Q: Q8. Estimate the mean free path of electrons in copper. Assume the Fermi energy of copper is 7.03eV.…
A: Electrons in copper will undergo collisions, this will cause a change in its energy or direction.…
Q: QI/Find Fermi probability of level above of Fermi level by 0.28ev and temperature in degree is 500
A: Given, Temperature, T=500oC=773K If the fermi energy is EF, then from question Energy difference…
Q: The density of sodium metal at room temperature is 0.95 g/cm³. Assuming that there is one conduction…
A: Number density of sodium is, n=NV=NAρM=6.022×10230.95 g/cm323 g/mol=2.487×1022 cm-3=2.487×1028 m-3
Q: Given the Fermi energy, EF for copper at T = 0 K is 7.00 eV and the electrons in copper follow the…
A: The fermi level can be defined as work needed to add an electron to the system or body. Different…
Q: Calculate the rms velocity, drift velocity and Fermi velocity and mean free path of electrons in…
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Q: Question A2 The body-centred cubic structure is common among metals. a) How many nearest neighbours…
A: In a body-centered cubic (BCC) structure, each atom is surrounded by 8 nearest neighbors. These…
Q: (1) Consider two-dimensional electron gas (2DEG) with the sheet carrier density (n2D) of 8 x 10¹2…
A: Given that Carrier density (n2D)=8×1012cm-2=8×1016m-2Effectivr mass (me*) = 0.04m0Where m0 is the…
Q: licon used in computer chips must have an impurity, level below 10 (that is, fewer than one impurity…
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Q: Typical Fermi energy level for metal at 0 K is 5 eV. What is the Fermi speed of electron gas in the…
A: Given information: The Fermi energy of the metal, Ef=5 eV=5×1.6×10-19=8×10-19 J To find the Fermi…
Q: B- For a certain metal if electrons concentration=8.5x102 electron/cm' and there is 4x104 collision…
A: Here given the metal with electron concentration 8.5 × 10²² electron/cm³ and there is 4×10¹⁴…
Q: Calculate the value of the Fermi energy for a specific metal when it contains 2.54x1028 free…
A: Given : n = 2.54 x 1028 m-3 me = 9.11 x 10-31 kg h = 6.63 x 10-34 J.s
Q: 1) a) A wire sample (1 mm in diameter by 1 m in length) of an aluminum alloy (containing 1.2% Mn) is…
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- Q2/ If the resistivity of pure silicon is 2300 (0. m) and assuming that the valance electrons of silicon is 4. Let T = 300 K. (a) Calculate the electron density per cubic meter (b) Calculate the electron mobility when the electron density is doubled. Note: Avogadro's number is 8.61 x 10 mol Atomic mass of silicon is 28.08 g/mol, mass density is 2.33 g/cm3 A one cm sample of a hypothetical material with conductivity of 108 (Ohm-meter) 1 is formed into a 10 cm wire. The material contains 1042 atoms per cm. Calculate the electron drift velocity when the wire carries an electrical potential of 10 V.Question-5. A semiconductor has an electrical conductivity of 20 (N-m)', whereas the electron and hole mobilities are 0.04 and 0.03 m2/V-s, respectively. The density of the semiconductor is 4.62 g/cm³. The electrical charge of an electron (e) is 1.6 ×10-19 C. The atomic weight of the semiconductor is 59.72 g/mol. Avogadro constant (NA) is 6.023 × 1023 atoms/mol. (a) Compute the intrinsic carrier concentration for the semiconductor at room temperature (25 °C). (b) Compute the number of free electrons per atom for the intrinsic semiconductor at room temperature.
- 1. A certain metal has a Fermi energy of 3 eV. Find the number of electrons per unit volume with energy between 5 eV and 5.10 eV for T = 295 K.3. Silver is monovalent metal of a spherical Fermi surface. Its density is 10.5 g/cm, Molar mass is 107.87, and resistivity at room temperature (295°C) is 1.61 x 10“2.cm. Calculate the followings: a) Fermi energy, Fermi temperature, and Fermi velocity. b) Mean free path of electrons at room temperature. c) Is silver transparent metal for electromagnetic wave of A= 150 nm? ( Hint: o -3178.7 na, Ap 2nc/0, -1.885 x 10/2(nm).)2) Sodium has a volume expansion coefficient of 15 x 10-³K-¹ Calculate: a. The percentage change in the Fermi energy as the temperature is raised from OK to 300K. Comment on the magnitude of the change. b. The percentage change of the Fermi velocity.
- 1. Show that the mean velocity of an electron in an electron gas at the absolute zero of temperature is , where up is the velocity of an electron at the Fermi energy.3 The Fermi-Dirac distribution provides the fraction of electrons that can be found for a given electron energy and temperature of the material. Silicon is a widely use semiconductor for computer processors and GPUs, with a band gap of 1.11 eV at room temperature (293 K). a) What is the Fermi energy of Silicon at room temperature? b) Calculate the electron concentration (total number of electrons) at 0.6 eV above the fermi level (in the conduction band) of one mol of silicon (each silicon atom contributes 4 electrons).2) In one of the most recent silicon industry achievements of 2021, a single transistor takes up a rectangular area on a microchip that measures 10[nm] by 2O[nm]. The early microchips in the 1970's had rectangular transistors that each measured approximátely 20[um] by 40[µm]. How manv of the new 2021 transistors could fit inside the same area of a single 1970 transistor? A) 400 B) 4000 C) 40,000 D) 400,000 É 4,000,000
- Q2/ If the resistivity of pure silicon is 2300 (N. m) and assuming that the valance electrons of silicon is 4. Let T = 300 K. (a) Calculate the electron density per cubic meter (b) Calculate the electron mobility when the electron density is doubled. Note: Avogadro's number is 6.02 x 1023mol Atomic mass of silicon is 28.08 g/mol, mass density is 2.33 g/cmQ1/Determine the temperature at which there is a 2 percent that an energy state 0.3 eV below the Fermi level is empty? Q2/ Determine the temperature at which there is a 3 percent that an energy state 0.3 eV below the Fermi level is empty?2. We have a two-dimensional hexagonal lattice of lattice spacing a-3 Å, and one electron per unit cell. If the electrons are considered free within the two-dimensional plane, what is the Fermi energy? (Provide a numerical value in eV.) 1/3524191/5 Ef