EBK PHYSICS FOR SCIENTISTS & ENGINEERS
EBK PHYSICS FOR SCIENTISTS & ENGINEERS
5th Edition
ISBN: 9780134296074
Author: GIANCOLI
Publisher: VST
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Chapter 40, Problem 44P
To determine

Find the density of states of three-dimensional well.

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(a) For indium phosphide (InP) at room temperature, calculate the electron and hole mobilities for the following cases : For intrinsic InP, the electrical conductivity, the number of electrons per cubic meter and the number of holes per cubic meter are 2.5 x 10-6 (22m)¹, 3× 10¹3 m -3 and 3 x 1013 m3, respectively. Similarly, for n-type extrinsic InP, the electrical conductivity, the number of electrons per cubic meter and the number of cubic meter holes per 3-6x 10-6 (2m), 4.5 × 10¹3-3 2 x 10¹3 m³, respectively. are and
4-21. Consider a lattice of M equivalent noninteracting magnetic dipoles, u (associated, say, with electron or nuclear spins). When placed in a magnetic field H, each dipole can orient itself either in the same direction, ↑, or opposed to, t, the field. The energy of a dipole is -µH if oriented with the field, and +µH if oriented against the field. Let N be the number of ! states and M – N the number of ↑ states. For a given value of N, the total energy is µHN – µH(M – N)=(2N – M)µH The total magnetic moment I is I=(M -- 2N)µ where Nis the average value of N for a given M, H, and T. The work necessary to increase H by dH is -IdH. Find the specific heat C and the total magnetic moment for this system
(1)Earlier in class, we said that the electronic states of the π electrons of a conjugated linear-like molecule could be approximated by the wave functions of a particle in a one-dimensional box of length L   A) Write down the wave function for a single electron for such a system. Include any restrictions on the quantum number(s).   B) Show that the transition probability with x-polarized light for the transition n = 1 → n = 2 is non-zero.   C) Show that the transition probability with x-polarized light for the transition n = 1 → n = 3 is zero.   D) What wavelength of photon is required for the transition in part (b) to occur? Assume that the excitation process is a one-photon process.   please answer all parts as they pertain to each other.
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