Physics for Scientists and Engineers with Modern, Revised Hybrid (with Enhanced WebAssign Printed Access Card for Physics, Multi-Term Courses)
9th Edition
ISBN: 9781305266292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 43, Problem 58AP
To determine
The depth of the
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Consider the wave function shown below. If the linear molecule has a length L=1.6 nm, What is the value of the u(x) at the the point
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Chapter 43 Solutions
Physics for Scientists and Engineers with Modern, Revised Hybrid (with Enhanced WebAssign Printed Access Card for Physics, Multi-Term Courses)
Ch. 43.1 - For each of the following atoms or molecules,...Ch. 43.2 - Prob. 43.2QQCh. 43.2 - Prob. 43.3QQCh. 43 - Prob. 1OQCh. 43 - Prob. 2OQCh. 43 - Prob. 3OQCh. 43 - Prob. 4OQCh. 43 - Prob. 5OQCh. 43 - Prob. 6OQCh. 43 - Prob. 7OQ
Ch. 43 - Prob. 1CQCh. 43 - Prob. 2CQCh. 43 - Prob. 3CQCh. 43 - Prob. 4CQCh. 43 - Prob. 5CQCh. 43 - Prob. 6CQCh. 43 - Prob. 7CQCh. 43 - Prob. 8CQCh. 43 - Discuss models for the different types of bonds...Ch. 43 - Prob. 10CQCh. 43 - Prob. 1PCh. 43 - Prob. 2PCh. 43 - Prob. 3PCh. 43 - Prob. 4PCh. 43 - Prob. 5PCh. 43 - Prob. 6PCh. 43 - Prob. 7PCh. 43 - Prob. 8PCh. 43 - Prob. 9PCh. 43 - Prob. 10PCh. 43 - Prob. 12PCh. 43 - Prob. 13PCh. 43 - Prob. 14PCh. 43 - Prob. 15PCh. 43 - Prob. 16PCh. 43 - The nuclei of the O2 molecule are separated by a...Ch. 43 - Prob. 18PCh. 43 - Prob. 19PCh. 43 - Prob. 20PCh. 43 - Prob. 21PCh. 43 - Prob. 22PCh. 43 - Prob. 23PCh. 43 - Prob. 24PCh. 43 - Prob. 25PCh. 43 - Prob. 27PCh. 43 - Prob. 28PCh. 43 - Prob. 29PCh. 43 - Prob. 30PCh. 43 - Prob. 31PCh. 43 - Prob. 32PCh. 43 - Prob. 33PCh. 43 - Prob. 34PCh. 43 - Prob. 35PCh. 43 - Prob. 36PCh. 43 - Prob. 37PCh. 43 - Prob. 38PCh. 43 - Prob. 39PCh. 43 - Prob. 40PCh. 43 - Prob. 41PCh. 43 - Prob. 42PCh. 43 - Prob. 43PCh. 43 - Prob. 44PCh. 43 - Prob. 45PCh. 43 - Prob. 46PCh. 43 - Prob. 47PCh. 43 - Prob. 49PCh. 43 - Prob. 50PCh. 43 - Prob. 51PCh. 43 - A direct and relatively simple demonstration of...Ch. 43 - Prob. 53PCh. 43 - Prob. 54APCh. 43 - Prob. 55APCh. 43 - Prob. 56APCh. 43 - Prob. 57APCh. 43 - Prob. 58APCh. 43 - Prob. 59APCh. 43 - Prob. 61APCh. 43 - Prob. 62APCh. 43 - Prob. 63CPCh. 43 - As an alternative to Equation 43.1, another useful...
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- Assume 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_forwardThe equilibrium dissociation energy of O2 is De = 4.314 ev. The basic vibration frequency of O2 is f = 1620.0 cm -1. So how much energy is actually needed to dissociate O2 molecules at n = 3 vibrational level? Give your answer in EV.arrow_forwardA diatomic molecule begins in the vibration-rotation state characterized by n = 1, J = 7. It then absorbs a photon of light to make a R-branch transition. Which of the following represents a possible final state for this molecule? On=0,J = 7 n=2, J = 7 n = 1, J = 8 On=2, J = 8 n = 1, J = 6 n = 2, J = 6arrow_forward
- What 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_forwardFor a spherical sodium particle of 25 nm radius crystalizing in a BCC structure having a density of 1.51 g/cm^3, estimate the surface energy of the particle. b. Estimate the surface energy of {100},{110} and {111} surfaces of an FCC lattice with bond strength of 7.97 eV and lattice parameter of 4.2 Å. Also compare the energies.arrow_forwardThe vibrational wavenumber of HBr is 264 cm-1 Evaluate the vibrational partition function of HBr at 298 K using both the exact and the approximate expressions.arrow_forward
- What 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_forwardIn vibrational spectroscopy, the fundamental band refers to a transition from the n = 0 state to n = 1, and the first overtone would be from the n = 0 state to n = 2. For carbon monoxide (CO), the fundamental occurs at 2143.4 cm-¹ and the first overtone at 4259.6 cm-¹. (a) For an anharmonic oscillator, the energy levels can be written (in wavenumbers) as 2 En ) ²³ = ve (n + ¹) - xeve (n +. + Find the values of ve and xeve from the fundamental and overtone transitions in CO. Report your results in units of cm-¹. (b) Use the values found for ve and xeve in part (a) to estimate the number of bound energy levels in CO. (Hint: For an anharmonic oscillator this number is determined by the point at which the spacing between consecutive levels goes to zero.) (c) If CO could be modeled as a Morse oscillator, and the values of ve and xeve provide energy levels consistent with the Morse potential what would be the value of the parameter D in units of cm-¹? How does this compare with the observed…arrow_forwardIn this question, we will consider the vibration of the diatomic molecule, H2, found in an eigenstate whose wave function is 1/4 1 p(x) V48 \T where a = ku/ħ. k is the force constant and u is the reduced mass. The vibrational frequency of H2 is 4401 cm-'. а) How many nodes are present in p(x)? b) What is the quantum number that characterizes p(x)? c) Calculate the vibrational energy of the H2 molecule when it is described by the eigenfunction p(x).arrow_forward
- The effective spring constant describing the potential energy of the HI molecule is 320 N/m and that for the HF molecule is 970 N/m. Calculate the minimum amplitude of vibration for (a) the HI molecule and (b) the HF molecule.arrow_forwarda) Starting from a general fornula of desity of States. g(k) dk= Vkdk 272 Show that g(w) dw= 3x Vw°dw for Phonons under the assumption thait the phonoh dre aicoustic, meaning U = does not depend 3. on W or k. 3N b) In a solid of N atoms, there are vibrational modes(phonons) with the highat frequercy Wp.arrow_forwardThe valence election of chlorine is excited to a 3p state, (a) What is the magnitude of the election's orbital angular momentum? (b) What are possible values for the z-component of angular’ measurement?arrow_forward
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