6. Consider the bond vibration of a homo-atomic diatomic molecule. In the harmonic approximation the vibrational energy levels are given by, Ev = (v + 1² ) h ħw Where v = 0, 1, ..., ∞ and w = 6.1 x 10¹4 s-¹. Let us assume this vibrational mode is IR active. A photon of energy E = hc/ is absorbed by the molecule and induces a fundamental vibrational transition. (a) What is the wavelength of the resulting IR absorption peak in nm?

6. Consider the bond vibration of a homo-atomic diatomic molecule. In the harmonic approximation the vibrational energy levels are given by, Ev = (v + 1² ) h ħw Where v = 0, 1, ..., ∞ and w = 6.1 x 10¹4 s-¹. Let us assume this vibrational mode is IR active. A photon of energy E = hc/ is absorbed by the molecule and induces a fundamental vibrational transition. (a) What is the wavelength of the resulting IR absorption peak in nm?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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2. Next nearest neighbor interactions. Consider a monatomic lattice. The potential energy of the crystal system, modeled as a linear chain of atoms is UpE. = 1/(2a)E, where n runs over all the atoms in the chain and r, is the net displacement of the n'th atom. (a) Show that if the atom is interacting with p atoms on either side instead of one (as we discussed in class), the the force acting on the n'th atom is given by, F, = -E,(un – Un+p); where a, represents the force constant between atoms numbered n and n + p. (b) Let's now consider an atom interacting with four neighboring atoms, two on each side (i.e., p= 2). If a and m have the usual meanings, show that the dispersion relation is given by, 4a w² = () sin" () (1 + 4cos" (). ga ga (c) Plot this dispersion relation, comparing it with the dispersion involving only nearest neighbor interactions. Label your axes and edges of the Brillouin zone appropriately.
2) Critical magnetic fields of a certain superconductor are experimentally measured as 0.175 T at 15 K and 0.700 T at 12 K. a) Calculate the transition temperature. b) Calculate critical fields at 0 Kand 8 K 2) Critical magnetic fields of a certain superconductor are experimentally measured as 0.175 T at 15 K and 0.700 T at 12 K. a) Calculate the transition temperature. b) Calculate critical fields at 0 K and 8 K.
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3. Determine the following values based on the figure shown below of an NPN Si BJT, where NE 5×10¹8, NB= 10¹7, and Nc= 2×10¹6 cm³. Assuming the transistor is operated in the active mode with VBE=0.83 V. (a) Determine np(0) and pn(0). (b) If the effective base width W is 80 Å, D₂= 25 cm²/s, and the intrinsic emitter area is 0.5 mm², determine the total collector current. (c) If the current gain ß= 150, determine the base and emitter current. Carrier concentration Pao Emitter (n) Hole concentration EBJ depletion. region Pr (0) (0) 11 Base (p) Electron concentration np (ideal) n (with recombination) Effective base width W CBJ depletion region Collector (n) Distance (x)
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7 The fundamental vibrational wavenumber ( ṽ) for 1H 127I molecule is 23096 cm-1 A. Determine the force constant (k) of 1H 127I B. Calculate the value of for 2H 127I. Show all calculations and the units. Explain the reasoning