Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
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Chapter 40, Problem 71GP
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For silicon the conduction band minimum is located at 0.49 Å-1 in the [100] direction (X is the Brillouin zone at H00), while the valence band maximum is located at the Γ point (k = 0).a) What is the wavelength and energy of photons needed to supply the required momentum to excite an electron from the Γ point to the conduction band minimum?
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Chapter 40 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 40.4 - Determine the three lowest rotational energy...Ch. 40.6 - Prob. 1BECh. 40.6 - Prob. 1CECh. 40.8 - Prob. 1DECh. 40 - What type of bond would you expect for (a) the N2...Ch. 40 - Describe how the molecule CaCl2 could be formed.Ch. 40 - Does the H2 molecule have a permanent dipole...Ch. 40 - Although the molecule H3 is not stable, the ion...Ch. 40 - The energy of a molecule can be divided into four...Ch. 40 - Would you expect the molecule H2+ to be stable? If...
Ch. 40 - Explain why the carbon atom (Z = 6) usually forms...Ch. 40 - Prob. 8QCh. 40 - Prob. 9QCh. 40 - Prob. 10QCh. 40 - Prob. 11QCh. 40 - Prob. 12QCh. 40 - Prob. 13QCh. 40 - Prob. 14QCh. 40 - Prob. 15QCh. 40 - Prob. 16QCh. 40 - Prob. 17QCh. 40 - Prob. 18QCh. 40 - Prob. 19QCh. 40 - Prob. 20QCh. 40 - Prob. 21QCh. 40 - Prob. 22QCh. 40 - Prob. 23QCh. 40 - Prob. 1PCh. 40 - (II) The measured binding energy of KCl is 4.43eV....Ch. 40 - (II) Estimate the binding energy of the H2...Ch. 40 - (II) The equilibrium distance r0 between two atoms...Ch. 40 - Prob. 5PCh. 40 - Prob. 6PCh. 40 - (III) (a) Apply reasoning similar to that in the...Ch. 40 - (I) Show that the quantity 2/I has units of...Ch. 40 - Prob. 9PCh. 40 - Prob. 10PCh. 40 - Prob. 11PCh. 40 - Prob. 12PCh. 40 - Prob. 13PCh. 40 - Prob. 14PCh. 40 - Prob. 15PCh. 40 - Prob. 16PCh. 40 - (II) Calculate the bond length for the NaCl...Ch. 40 - Prob. 18PCh. 40 - Prob. 19PCh. 40 - Prob. 20PCh. 40 - Prob. 21PCh. 40 - Prob. 22PCh. 40 - Prob. 23PCh. 40 - Prob. 24PCh. 40 - Prob. 25PCh. 40 - Prob. 26PCh. 40 - Prob. 27PCh. 40 - Prob. 28PCh. 40 - Prob. 29PCh. 40 - Prob. 30PCh. 40 - Prob. 31PCh. 40 - Prob. 32PCh. 40 - Prob. 33PCh. 40 - Prob. 34PCh. 40 - Prob. 35PCh. 40 - Prob. 36PCh. 40 - Prob. 37PCh. 40 - Prob. 38PCh. 40 - Prob. 39PCh. 40 - Prob. 40PCh. 40 - Prob. 41PCh. 40 - Prob. 42PCh. 40 - Prob. 43PCh. 40 - Prob. 44PCh. 40 - Prob. 45PCh. 40 - Prob. 46PCh. 40 - Prob. 47PCh. 40 - Prob. 48PCh. 40 - Prob. 49PCh. 40 - Prob. 50PCh. 40 - Prob. 51PCh. 40 - Prob. 52PCh. 40 - Prob. 53PCh. 40 - Prob. 54PCh. 40 - Prob. 55PCh. 40 - Prob. 56PCh. 40 - Prob. 57PCh. 40 - Prob. 58PCh. 40 - Prob. 59PCh. 40 - Prob. 60PCh. 40 - Prob. 61PCh. 40 - Prob. 62GPCh. 40 - Prob. 63GPCh. 40 - Prob. 64GPCh. 40 - Prob. 65GPCh. 40 - Prob. 66GPCh. 40 - Prob. 67GPCh. 40 - Prob. 68GPCh. 40 - Prob. 69GPCh. 40 - Prob. 70GPCh. 40 - Prob. 71GPCh. 40 - Prob. 72GPCh. 40 - Prob. 73GPCh. 40 - Prob. 74GPCh. 40 - Prob. 75GPCh. 40 - Prob. 76GPCh. 40 - Prob. 77GPCh. 40 - Prob. 78GPCh. 40 - Prob. 79GPCh. 40 - Prob. 80GPCh. 40 - Prob. 81GPCh. 40 - Prob. 82GPCh. 40 - Prob. 83GPCh. 40 - Prob. 84GPCh. 40 - Prob. 85GPCh. 40 - Prob. 86GPCh. 40 - Prob. 87GPCh. 40 - Prob. 88GPCh. 40 - Prob. 89GP
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- Why does the horizontal Line in the graph in Figure 9.12 suddenly stop at the Fermi energy? Figure 9.12 (a) Density of state for a free electron gas; (b) probability that a state is occupied at T = 0 K; (c) density if occupied states at T = 0 k.arrow_forwardThe measured density of a KCl crystal is 1.984 g/cm3. What is the equilibrium separation distance of K+ and Cl- ions?arrow_forwardWhat is the longest wavelength for a photon that can excite a valence election into the conduction band across an energy gap of 0.80 eV?arrow_forward
- At what temperature, in terms of Tc, is the critical field of a superconductor one-half its value at T = 0 K?arrow_forwardThe measured density of a CsCl crystal is 3.988 g/cm3. What is the equilibrium separate distance of Cs+ and Cl- ions?arrow_forwardThe effective density of states of a piece of silicon is Nc = 2x1319 cm³ in the conduction band at room temperature. Assume the intrinsic concentration, ni, is 1010 cm3. Suppose 0.1% of the equivalent density of states in the conduction band are filled with electrons at room temperature. (a) What is the doping concentration in the silicon? (b) What is the electron concentration in the silicon? (c) What is the hole concentration in the silicon? (d) What is the value of the Fermi-Dirac function f(E) at the conduction band edge?arrow_forward
- Problem 5. Assume that at T=300 K, the electron mobility in a silicon sample is 1300 cm²/Vs. If an electric field of 100 V/cm is applied what is the excess energy of the electrons? How does this excess energy compare with the thermal energy? If you assume that the mobility is unchanged how does the same comparison work out at a field of 5 V/cm. (NOTE: Excess energy is equal to ½ m₂* v² where Va is the drift velocity.)arrow_forwardi need the answer quicklyarrow_forwardQ#04. (a) Calculate the number of atoms per unit area in (100), (110) and (111) planes of in bcc crystal with the lattice parameter of 2.5 angstrom.arrow_forward
- Silicon is doped with 3×1018 arsenic atoms/cm3 and 8 × 1018 boron atoms/cm3. (a) Is this n- or p-type silicon? (b) What are the hole and electron concentrations at room temperature?arrow_forwardProblem 1. The resistivity of an intrinsic semiconductor sample at 280 K was measured to be 15 Q·cm. At 320 K, it was 0.6 Q cm. Assuming that the mobilities of both electrons and holes decrease with temperature as µejh~ 1/T 32, find the bandgap of this material. Problem 2. You wish to create a 10-k2 resistor using an n-type (Na= 0) silicon bar of length L = 5 mm and cross-sectional area A = 0.05 mm. Assume complete ionization with no = Na and neglect the hole contribution to conductivity. Electron mobility in this material is known to depend on donor concentration according to an empirical formula (see section 6 of the Wikipedia article https://en.wikipedia.org/wiki/Electron_mobility) Hmax - Mmin µ(Na) = Hmin + 1+ (Na/N,)" with the parameters Umin 65 cm²/(V-s), µmax 1330 cm/(V s), N,= 8.5·1016 cm³, a = 0.72. (a) Determine the conductivity of your material needed to obtain the desired resistance. (b) Find the doping concentration needed to obtain the desired resistance. You will need to…arrow_forwardAssume that the mobility of electrons in silicon at T = 300 K is µ= 1300 cm²/V-s. Also assume that the mobility is mainly limited by lattice scattering. Determine the electron mobility(cm:/V-s) at T= 400 K. !! 484 864 854 844arrow_forward
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