Physical Chemistry
2nd Edition
ISBN: 9781133958437
Author: Ball, David W. (david Warren), BAER, Tomas
Publisher: Wadsworth Cengage Learning,
expand_more
expand_more
format_list_bulleted
Question
Chapter 14, Problem 14.101E
Interpretation Introduction
Interpretation:
The energy level diagrams for vibrations of an ideal harmonic oscillator and an anharmonic oscillator are to drawn. The corresponding energy level diagrams are to be compared up to
Concept introduction:
An electronic state of energy has its own vibrational states. The energy between the electronic states is large followed by vibrational states and then rotational states. During an electronic transition, electron from ground state moves straight to the excited state keeping the internuclear distance constant.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
Calculate the vibrational energy of the v = 2 state of 1H127 I relative to the ground state, including the anharmonic corrections.
The vibrational wavenumber of the oxygen molecule in its electronic ground state is 1580 cm−1, whereas that in the excited state (B 3Σu−), to which there is an allowed electronic transition, is 700 cm−1. Given that the separation in energy between the minima in their respective potential energy curves of these two electronic states is 6.175 eV, what is the wavenumber of the lowest energy transition in the band of transitions originating from the v = 0 vibrational state of the electronic ground state to this excited state? Ignore any rotational structure or anharmonicity.
(a) Express the moment of inertia of an octahedral AB6 molecule in terms of its bond lengths and the masses of the B atoms. (b) Calculate the rotational constant of 32S19F6 , for which the S—F bond length is 158 pm.
Chapter 14 Solutions
Physical Chemistry
Ch. 14 - Prob. 14.1ECh. 14 - Determine if the following integrals can be...Ch. 14 - What is the frequency of light having the...Ch. 14 - What is the wavelength of light having the given...Ch. 14 - What is the energy of light having each...Ch. 14 - The Cu(H2O)62+ complex has octahedral symmetry. Is...Ch. 14 - What are the wavelength, speed, and energy of a...Ch. 14 - Prob. 14.8ECh. 14 - Prob. 14.9ECh. 14 - Prob. 14.10E
Ch. 14 - Prob. 14.11ECh. 14 - Prob. 14.12ECh. 14 - Prob. 14.13ECh. 14 - Prob. 14.14ECh. 14 - Diatomic sulfur, S2, was detected in the tail of...Ch. 14 - Prob. 14.16ECh. 14 - Prob. 14.17ECh. 14 - Prob. 14.18ECh. 14 - Prob. 14.19ECh. 14 - Prob. 14.20ECh. 14 - Prob. 14.21ECh. 14 - Prob. 14.22ECh. 14 - Which of the following molecules should have pure...Ch. 14 - Which of the following molecules should have pure...Ch. 14 - The following are sets of rotational quantum...Ch. 14 - The following are sets of rotational quantum...Ch. 14 - Derive equation 14.21 from the E expression...Ch. 14 - Prob. 14.28ECh. 14 - Prob. 14.29ECh. 14 - Lithium hydride, 7Li1H, is a potential fuel for...Ch. 14 - Prob. 14.31ECh. 14 - Prob. 14.32ECh. 14 - Prob. 14.33ECh. 14 - Prob. 14.34ECh. 14 - Prob. 14.35ECh. 14 - Prob. 14.36ECh. 14 - From the data in Table 14.2, predict B for DCl D...Ch. 14 - A colleague states that the pure rotational...Ch. 14 - Prob. 14.39ECh. 14 - Prob. 14.40ECh. 14 - Prob. 14.41ECh. 14 - Prob. 14.42ECh. 14 - Prob. 14.43ECh. 14 - Determine E for J=20J=21 for HBr assuming it acts...Ch. 14 - Determine the number of total degrees of freedom...Ch. 14 - Determine the number of total degrees of freedom...Ch. 14 - Prob. 14.47ECh. 14 - Prob. 14.48ECh. 14 - Prob. 14.49ECh. 14 - Prob. 14.50ECh. 14 - Prob. 14.51ECh. 14 - Prob. 14.52ECh. 14 - Prob. 14.53ECh. 14 - Prob. 14.54ECh. 14 - Prob. 14.55ECh. 14 - Prob. 14.56ECh. 14 - Prob. 14.57ECh. 14 - Prob. 14.58ECh. 14 - Prob. 14.59ECh. 14 - Prob. 14.60ECh. 14 - Prob. 14.61ECh. 14 - Prob. 14.62ECh. 14 - Prob. 14.63ECh. 14 - Prob. 14.64ECh. 14 - Prob. 14.65ECh. 14 - Prob. 14.66ECh. 14 - Prob. 14.68ECh. 14 - Prob. 14.69ECh. 14 - Prob. 14.70ECh. 14 - Prob. 14.71ECh. 14 - Prob. 14.72ECh. 14 - Prob. 14.73ECh. 14 - Prob. 14.74ECh. 14 - Prob. 14.75ECh. 14 - Prob. 14.76ECh. 14 - Prob. 14.77ECh. 14 - Prob. 14.78ECh. 14 - Prob. 14.79ECh. 14 - Prob. 14.80ECh. 14 - Prob. 14.81ECh. 14 - Prob. 14.82ECh. 14 - Prob. 14.83ECh. 14 - Prob. 14.84ECh. 14 - Prob. 14.85ECh. 14 - Dioctyl sulfide, (C8H17)2S, and hexadecane,...Ch. 14 - Where would you expect vibrations for ethyl...Ch. 14 - Prob. 14.88ECh. 14 - Prob. 14.89ECh. 14 - Prob. 14.90ECh. 14 - Prob. 14.91ECh. 14 - Prob. 14.92ECh. 14 - Prob. 14.93ECh. 14 - Prob. 14.94ECh. 14 - The mutual exclusion rule states that for certain...Ch. 14 - Prob. 14.96ECh. 14 - Prob. 14.97ECh. 14 - Prob. 14.98ECh. 14 - Prob. 14.99ECh. 14 - Construct and compare the energy level diagrams...Ch. 14 - Prob. 14.101E
Knowledge Booster
Similar questions
- What is the physical explanation of the difference between a particle having the 3-D rotational wavefunction 3,2 and an identical particle having the wavefunction 3,2?arrow_forwardDetermine the number of total degrees of freedom and the number of vibrational degrees of freedom for the following species. a Hydrogen sulfide, H2S b Carbonyl sulfide, OCS c The sulfate ion, SO42 d Phosgene, COCl2 e Elemental chlorine, Cl2 f A linear molecule having 20 atoms g A nonlinear molecule having 20 atomsarrow_forwardassuming that the vibrations of a 35Cl2 molecule are equivalent to those of a harmonic oscillator with a force constant Kf= 329 Nm-1, what is the zero point energy of vibration of this molecule?arrow_forward
- Knowing that the rotational constant of the heteronuclear diatomic molecule HCl is 10.4367 cm−1 , calculate its internuclear distance.arrow_forwardThe J = 0 to J = 1 rotational transition of the CO molecule occurs at a frequency of 1.15 x 1011 Hz.(A) Use this information to calculate the moment of inertia of the molecule. (B) Calculate the bond length of the molecule.arrow_forwardAssume that the states of the π electrons of a conjugated molecule can be approximated by the wavefunctions of a particle in a one-dimensional box, and that the magnitude of the dipole moment can be related to the displacement along this length by μ = −ex. Show that the transition probability for the transition n = 1 → n = 2 is non-zero, whereas that for n = 1 → n = 3 is zero. Hints: The following relation will be useful: sin x sin y = 1/2cos(x − y) − 1/2cos(x + y). Relevant integrals are given in the Resource section.arrow_forward
- A molecule in a liquid undergoes about 1.0 × 1013 collisions in each second. Suppose that (i) every collision is effective in deactivating the molecule vibrationally and (ii) that one collision in 100 is effective. Calculate the width (in cm−1) of vibrational transitions in the molecule.arrow_forwardExplain the occurrence of P and R branches in the rotational fine structure of a vibrational transition of a diatomic molecule such as HCl or CO.arrow_forwardAn object of mass 1.0 g suspended from the end of a spring has a vibrational frequency of 10.0 Hz. Calculate the force constant of the spring.arrow_forward
- Calculate the value of ml for a proton constrained to rotate in a circle of radius 100 pm around a fixed point given that the rotational energy is equal to the classical average energy at 25 degrees C. (Mass of a proton = 1.6726 x 10^-27 kg, classical average energy=1/2kBT, where kBT is Boltzman constant = 1.30 x 10^ -23 J K^-1, and T is the temperature.)arrow_forwardThe 1H35Cl molecule is quite well described by the Morse potential energy with hc ᷉ De = 5.33 eV, ᷉v = 2989.7 cm−1, and xe ᷉v = 52.05 cm−1. Assuming that the potential is unchanged on deuteration, predict the dissociation energies (hc ᷉ D0, in electronvolts) of (a) 1H35Cl, (b) 2H35Cl.arrow_forwardTreat a vibrating HI molecule as a hydrogen atom oscillating towards and away from a stationary iodine atom. Given the force constant of the HI bond is 314 N m-1, calculate the vibrational frequency of the molecule.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Physical ChemistryChemistryISBN:9781133958437Author:Ball, David W. (david Warren), BAER, TomasPublisher:Wadsworth Cengage Learning,Principles of Instrumental AnalysisChemistryISBN:9781305577213Author:Douglas A. Skoog, F. James Holler, Stanley R. CrouchPublisher:Cengage LearningPrinciples of Modern ChemistryChemistryISBN:9781305079113Author:David W. Oxtoby, H. Pat Gillis, Laurie J. ButlerPublisher:Cengage Learning
Physical Chemistry
Chemistry
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Wadsworth Cengage Learning,
Principles of Instrumental Analysis
Chemistry
ISBN:9781305577213
Author:Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:Cengage Learning
Principles of Modern Chemistry
Chemistry
ISBN:9781305079113
Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:Cengage Learning