An Introduction to Thermal Physics
1st Edition
ISBN: 9780201380279
Author: Daniel V. Schroeder
Publisher: Addison Wesley
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Chapter 7.3, Problem 19P
To determine
The Fermi energy; the fermi temperature; the degeneracy pressure; contribution of degeneracy pressure to the bulk modulus.
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Each atom in a chunk of copper contributes one conduction electron. Look up the density and atomic mass of copper, and calculate the Fermi energy, the Fermi temperature, the degeneracy pressure, and the contribution of the degeneracy pressure to the bulk modulus. Is room temperature sufficiently low to treat this system as a degenerate electron gas?
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Chapter 7 Solutions
An Introduction to Thermal Physics
Ch. 7.1 - Prob. 1PCh. 7.1 - Prob. 3PCh. 7.1 - Prob. 4PCh. 7.1 - Show that when a system is in thermal and...Ch. 7.1 - Prob. 7PCh. 7.2 - Prob. 8PCh. 7.2 - Prob. 9PCh. 7.2 - Prob. 11PCh. 7.2 - Prob. 12PCh. 7.2 - Prob. 13P
Ch. 7.2 - Prob. 14PCh. 7.2 - Prob. 15PCh. 7.2 - Prob. 16PCh. 7.2 - Prob. 17PCh. 7.2 - Prob. 18PCh. 7.3 - Prob. 19PCh. 7.3 - Prob. 20PCh. 7.3 - Prob. 21PCh. 7.3 - Prob. 22PCh. 7.3 - Prob. 24PCh. 7.3 - Prob. 25PCh. 7.3 - Prob. 26PCh. 7.3 - Prob. 29PCh. 7.3 - Prob. 32PCh. 7.3 - Prob. 33PCh. 7.3 - Prob. 34PCh. 7.4 - Prob. 37PCh. 7.4 - Prob. 38PCh. 7.4 - Prob. 39PCh. 7.4 - Prob. 40PCh. 7.4 - Prob. 41PCh. 7.4 - Prob. 42PCh. 7.4 - Prob. 43PCh. 7.4 - Prob. 44PCh. 7.4 - Prob. 45PCh. 7.4 - Prob. 46PCh. 7.4 - Prob. 47PCh. 7.4 - Prob. 48PCh. 7.4 - Prob. 49PCh. 7.4 - Prob. 50PCh. 7.4 - Prob. 51PCh. 7.4 - Prob. 52PCh. 7.4 - Prob. 53PCh. 7.4 - Prob. 54PCh. 7.4 - Prob. 55PCh. 7.4 - Prob. 56PCh. 7.5 - Prob. 57PCh. 7.5 - Prob. 58PCh. 7.5 - Prob. 59PCh. 7.5 - Prob. 60PCh. 7.5 - The heat capacity of liquid 4He below 0.6 K is...Ch. 7.5 - Prob. 62PCh. 7.5 - Prob. 63PCh. 7.5 - Prob. 64PCh. 7.6 - Prob. 65PCh. 7.6 - Prob. 66PCh. 7.6 - Prob. 67PCh. 7.6 - Prob. 68PCh. 7.6 - If you have a computer system that can do...Ch. 7.6 - Prob. 70PCh. 7.6 - Prob. 71PCh. 7.6 - Prob. 72PCh. 7.6 - Prob. 73PCh. 7.6 - Prob. 75P
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- An atomic nucleus can be crudely modeled as a gas of nucleons with a number density of 0.18 fm -3(where 1 fm = 10-15m). Because nucleons come in two different types (protons and neutrons), each with spin 1/2, each spatial wavefunction can hold four nucleons. Calculate the Fermi energy of this system, in MeV. Also calculate the Fermi temperature, and comment on the result.arrow_forwardO:22) Use fermi approximation to determine the number of softballs that can fit in a 1 meter cube. Calculate the free space in a 1 meter cube box that is filled with softballs. State all assumptions.arrow_forwardWhat is the Fermi wavevector (kF) and the displacement of the Fermi sphere (delta kF) if a field of E = 1,000 V/cm is applied? The low temperature conductivity is 1x108 (Ω-cm)-1 and the Hall coefficient is -1x10-24 (in CGS units). Assume that the metal exhibits free electron characteristics. fasr in 30 minutesarrow_forward
- Plot the Fermi function Vs. Energy at the temperature of 500 K, when EF = 2 eVarrow_forwardLet's look at a copper crystal, where each copper atom donates one conduction electron to the crystal. a) Use the free electron model to determine the prediction for copper fermi energy EF, fermi temperature TF and degeneration pressure Pdeg (at temperature T = 0 K). b) Further calculate the contribution of the degeneration pressure to the isothermal compression coefficient of copper. B = -V др (SP) T c) Finally, determine the model prediction for the electronic molar specific heat capacity Cy . The empirical form for this is Cy = yT and the experimentally determined value for copper is Y = 0.695 mJ mol-¹ k-². = Compare this numerical value with your resultarrow_forwardCalculate fermi wave vector (KF) for a metal whole electron concentration an × 1021 is per cubic centimeter.arrow_forward
- 3 5. (Kittel 7.5) Liquid He as a fermi gas. The atom "He has spin I= 2 fermion. 3 (a) Calculate as in Table 7.1 the fermi sphere parameters VF, EF and TF for He at absolute zero, viewed as a gas of noninteracting fermions. The density of the liquid is 0.081gcm ³. and is a (b) Calculate the heat capacity at low temperatures T << T and compare with the experimental value C, = 2,89 Nk T as observed for T< 0.1K by A. C. Anderson, W. Reese, and J. C. Wheatley, Phys. Rev. 130, 495 (1963); see also Figure 7.18. Excellent surveys of the properties of liquid He are given by J. Wilks, Properties of liquid and solid helium, Oxford, 1967, and by J. C. Wheatley, "Dilute solutions of 3 He and He at low temperatures," American Journal of Physics, 36, 181-210 (1968). The principles of refrigerators based on He-He are reviewed in Chapter 12 on cryogenics; such refrigerators produce steady temperatures down to 0.01K in continuously acting operation.arrow_forwardcalculate the fermi temperature for element X. where its fermi energy is 4.69 evarrow_forwardLet ƒ(e) be the Fermi-Dirac distribution function and be the chemical potential. Obtain the expression for the derivative of f(e)with respect to eat & = µl . 1 (a) 2T 1 (b) 6T 1 (c) 4T 1 (d) Tarrow_forward
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