In the United States, babies are delivered by physicians, no…

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In the United Stаtes, bаbies аre delivered by physicians, nоt birthed by wоmen, reflecting the _____.

Instructiоns Answer eаch оf the exаm prоblems below on your pаper. Write your answers clearly. For problems 2-5, to receive credit or partial credit, you must show your work. Draw a box around your final answer. Problem 1 Question 1a (2 points) Which of the following is true about the conduction (and valence) band? It is mostly full (empty) of electrons. It is mostly empty (full) of electrons. Both are exactly half full of electrons. Both are mostly empty of electrons. Both are mostly full of electrons. Question 1b (2 points) Silicon crystalizes in what type of lattice? Silicon Diamond Zincblende Face centered cubic Question 1c (2 points) What does the notation [001] denote? A plane normal to the z-axis. A set of equivalent planes along the coordinate axes. A direction along the z-axis. A set of equivalent directions along the coordinate axes. A point along the z-axis. Question 1d (2 points) If the lattice spacing is a{"version":"1.1","math":"(a)"}, what are the intercepts of (11¯0){"version":"1.1","math":"({rm{(1bar 10)}})"} ? (a,a,0){"version":"1.1","math":"((a, a, 0))"} (a,−a,0){"version":"1.1","math":" ((a, -a, 0))"} (−a,a,0){"version":"1.1","math":"((-a, a, 0))"} (a,a,infinity){"version":"1.1","math":"((a, a, infinity))"} (a,−a,infinity){"version":"1.1","math":"((a, -a, infinity))"} Question 1e (2 points) How are the intrinsic carrier concentration, ni{"version":"1.1","math":"({n_i})"}, and band gap, EG{"version":"1.1","math":"({E_G})"} related? ni{"version":"1.1","math":"({n_i})"}increases exponentially with increasing EG{"version":"1.1","math":"({E_G})"}. ni{"version":"1.1","math":"({n_i})"} increases exponentially with decreasing EG{"version":"1.1","math":"({E_G})"}. ni{"version":"1.1","math":"({n_i})"} increases linearly with increasing EG{"version":"1.1","math":"({E_G})"}. ni{"version":"1.1","math":"({n_i})"} increases linearly with decreasing EG{"version":"1.1","math":"({E_G})"}. ni{"version":"1.1","math":"({n_i})"} increases as EG2{"version":"1.1","math":"({E_G^2})"}. Question 1f (2 points) How are the intrinsic carrier concentration, ni{"version":"1.1","math":"(n_i)"}, and temperature, T{"version":"1.1","math":"(T)"}, related? ni{"version":"1.1","math":"(n_i)"} increases exponentially with increasing T{"version":"1.1","math":"(T)"}. ni{"version":"1.1","math":"(n_i)"} increases exponentially with decreasing T{"version":"1.1","math":"(T)"}. ni{"version":"1.1","math":"(n_i)"} increases linearly with increasing T{"version":"1.1","math":"(T)"}. ni{"version":"1.1","math":"(n_i)"} increases linearly with decreasing T{"version":"1.1","math":"(T)"}. ni{"version":"1.1","math":"(n_i)"} increases as T3/2{"version":"1.1","math":"(T^{3/2})"}. Question 1g (2 points) We write the crystal momentum as p=ℏk{"version":"1.1","math":" (p = hbar k)"}. What is k{"version":"1.1","math":"(k)"}? The wave number (or wavevector). Stefan-Boltzmann constant multiplied by two pi. Planck's constant. Planck's constant divided by two pi. Planck's constant multiplied by two pi. Question 1h (2 points) Arsenic is an N-type dopant in Si. How many valence electrons does it have? 2 3 4 5 6 Question 1i (2 points) Which of the following statements about the 3D density-of-states in energy is true? The states are distributed uniformly in energy It varies as one over the square root of energy It varies as one over energy It varies as the square root of energy It varies as energy to the 3/2 power Question 1j Where is an acceptor level located on an energy band diagram? A little above EC{"version":"1.1","math":"({E_C})"}. A little below EC{"version":"1.1","math":"({E_C})"}. About midway between EC{"version":"1.1","math":"({E_C})"} and EV{"version":"1.1","math":"({E_V})"}. A little above EV{"version":"1.1","math":" ({E_V})"}. A little below EV{"version":"1.1","math":"({E_V})"}. Problem 2 (20 points) Aluminum (Al) has a face centered cubic crystal structure with atoms at the corners of the cubic unit cell and in the middle of each face. Answer the following questions about Al. (Assume a lattice spacing of a = 4.046 Angstroms = 0.4046 nm.) Show your work and draw a box around your answers. How many atoms/cm3 are there in Al? What is the closest spacing in Angstroms between adjacent atoms in Al? Problem 3 (20 points) 3a) Deduce the Miller indices for the plane shown below.Show your work and draw a box around your answer. 3b) Draw (6 4 3).Show your work. 3c) Draw [3 4 0].Show your work. Problem 4 (20 points) Consider an electron in a parabolic energy band with an effective mass of m∗=0.5m0{"version":"1.1","math":"({m^} = 0.5{m_0})"}. The electron has an energy of kBT{"version":"1.1","math":"(k_BT)"} above the bottom of the conduction band and T=300K{"version":"1.1","math":"(T = 300K)"}. Answer the following questions. Show your work and draw a box around your answers. 4a) What is the wavelength of this electron in nanometers? 4b) What is the velocity of this electron in cm/s? Problem 5 (10 points) We have argued that the electrons in the conduction band are all close to the bottom of the conduction band (and holes are close to the top of the valence band). Answer the following questions assuming a 3D semiconductor, a parabolic conduction band, and T = 300 K. Show your work and draw a box around your answers. 5a) How many states per cubic centimeter are there between EC{"version":"1.1","math":"(E_C)"} and EC+3kBT/2{"version":"1.1","math":"(E_C + 3k_BT/2)"} for silicon? Assume a density of states effective mass of mD∗=1.062m0{"version":"1.1","math":" (m_D^ = 1.062{m_0})"}. 5b) How many states per cubic centimeter are there between EC{"version":"1.1","math":" (E_C)"} and (E_C + 3{k_B}T/2) for gallium arsenide ? Assume a density of states effective mass of mD∗=0.067m0{"version":"1.1","math":"(m_D^* = 0.067{m_0})"}. Congratulations! You are almost done with this exam. DO NOT end the Honorlock session until you have submitted your work to Gradescope. Do the following: Use your phone to scan your answer sheet and save it as a PDF. Make sure you scan is legible! Email the PDF to yourself or save it to the cloud (Google Drive, etc.). Click this link to submit your work to Gradescope: Exam 1 Match the problems to your pages. Return to this window and click the button below to agree to the honor statement. Click the Submit Quiz to end the exam and end the Honorlock session.