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The Fermi Speed How fast would an electron at the Fermi level be moving in a typical solid?

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Quantum Physics

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The Lattice Parameter of Sodium Sodium has a cubic body-centred structure at300 K. Determine the lattice parameter.

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The Fermi Energy of Aluminum Aluminum has a density of 2.69 g/cm3 and a molar mass of 26.98 g/mol. Each aluminum atom contributes three conduction electrons. Find the Fermi energy.

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The Effect of the Energy Gap on Conduction Plot N_x/N_0 versus ∆E for a temperature of 300 K. What is the value of the ratio for∆E=0.25 eV and∆E=1.0 eV?

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Temperature Dependence of Conduction For a band gap of 0.25 eV, plot N_x/N_0 versus T.

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Integrated Circuit Transistor Estimate the area of a typical single transistor in a modern CPU for a personal computer. How many atoms are in such a transistor?

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The de Broglie Wavelength of an Electron In one experiment, Davisson and Germer accelerated electrons through a potential difference of 54 V and scattered the electrons from a nickel crystal. They observed a maximum in the intensity of reflected electrons at an angle of Φ=50°. The spacing between the scattering planes of the crystal was calculated from X-ray diffraction to be d = 0.091 nm. Show that these results agree with de Broglie’s hypothesis for particle wavelengths.

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Uncertainty in the Momentum of a Proton in a Nucleus Find the minimum uncertainty in the momentum and the speed of a proton in the nucleus of an iron atom. The mass of a proton is 1.67×〖10〗^(-27) kg, and the radius of an iron nucleus is approximately 4.6×〖10〗^(-15) m.

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