An Introduction to Thermal Physics
1st Edition
ISBN: 9780201380279
Author: Daniel V. Schroeder
Publisher: Addison Wesley
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Question
Chapter A.3, Problem 15P
(a)
To determine
The energies (in eV) of the five vibrational states of a CO molecule.
(b)
To determine
The
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Chapter A Solutions
An Introduction to Thermal Physics
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- A CO molecule is initially in the n = 2 vibrational level. If this molecule loses both vibrational and rotational energy and emits a photon, what are the photon wavelength and frequency if the initial angular momentum quantum number is l = 3?arrow_forwardAssume that the H2 molecule behaves exactly like a harmonic oscillator with a force constant of 573N/m. (a) Find the energy (in eV) of its ground and first excited vibrational states. (b) Find the vibrational quantum number that approximately corresponds to its 4.5-eV dissociation energy.arrow_forwardWhat is the minimum energy required to go from one vibrational state to the next higher vibrational state for a molecule whose vibrations are modeled by a harmonic oscillator?arrow_forward
- Why do very similar gases, such as HCl and DCl, give bands at quite different vibrational frequencies?arrow_forwardWhat is the energy separation (ΔE) between the n = 4 and n = 5 states for an F2 molecule trapped within in a one-dimension well of length 3.0 cm? At what value of n does the energy of the molecule reach ¼kBT at 450 K, and what is the separation between this energy level and the one immediately above it?arrow_forwardWhat is the distance from the center of one Si atom to the center of its nearest neighbor if the lattice constant is 4.25 A?arrow_forward
- Calculate the ratio of electron to lattice heat capacities for Cu at T=0.3o, 4o,20o,77o and 300o K. The lattice heat capacity of Cu is given.arrow_forwardIn a silicon lattice, where should you look if you want to find (a) a conduction electron, (b) a valence electron, and (c) an electron associated with the 2p subshell of the isolated silicon atom?arrow_forwardIf a sodium chloride (NaCl) molecule could undergo an n S n - 1 vibrational transition with no change in rotational quantum number, a photon with wavelength 20.0 mm would be emitted. The mass of a sodium atom is 3.82 * 10-26 kg, and the mass of a chlorine atom is 5.81 * 10-26 kg. Calculate the force constant k′ for the interatomic force in NaCl.arrow_forward
- The frequency of vibration of the H2 molecule is 1.32*1014 Hz. (a) find the relative populations of the v=0,1,2,3 and 4 vibrational states at 5000K (b) can the populations of the v=2 and v=3 states ever be equal? if so, at what temperature does this occur.arrow_forwardA crystal has some negative ion vacancies, each containing one electron. Treat these electrons as moving freely inside a volume whose dimensions are of the order of lattice constant. Assuming the value of lattice constant, estimate the longest wavelength of electromagnetic radiation absorbed by these electrons.arrow_forwardHowever, the molecule we can encounter everyday continuously vibrates and interact with the surrounding causing its bond vector to vary slightly. According to a new spectroscopy analysis, the adjacent bond vectors was found to be A = 0.82i + 0.99j + 0.84k B = 1.09i + -1.01j + -0.97k What is the angle (in degrees) between the bonds based on this new data?arrow_forward
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