Interpretation:
The values of the five transitions for
Concept introduction:
Spectroscopy method is used to identify the structure of the molecule. It is based on the interactions between matter and
Answer to Problem 14.66E
The values of the five transitions for
Explanation of Solution
The energy of a Morse oscillator is calculated by the formula shown below.
Where,
•
•
•
•
The value of
The value of
Convert
Convert
Substitute
Substitute
Subtract equation (2) from equation (3).
Substitute the value of Planck’s constant,
The frequency of a transition in
Substitute the value of
Substitute
Subtract equation (2) from equation (6).
Substitute the value of Planck’s constant,
The frequency of a transition in
Substitute the value of
Substitute
Subtract equation (2) from equation (9).
Substitute the value of Planck’s constant,
The frequency of a transition in
Substitute the value of
Substitute
Subtract equation (2) from equation (12).
Substitute the value of Planck’s constant,
The frequency of a transition in
Substitute the value of
Substitute
Subtract equation (2) from equation (15).
Substitute the value of Planck’s constant,
The frequency of a transition in
Substitute the value of
The values of the five transitions for
Want to see more full solutions like this?
Chapter 14 Solutions
Physical Chemistry
- The GeF molecule, which exists in the gas phase at high temperature, has a 2 electronic ground state. What are the term symbols of the electronic states that can be accessed by allowed electronic transitions?arrow_forwardExplain the importance of the quantization of vibrational, rotational, and translational energy as it relates to the behavior of atoms and molecules.arrow_forwardDo you expect the fundamental vibrational frequency to be higher for HCl or NaCl? Explain.arrow_forward
- Consider the rotational spectrum of a molecule XY. If the first line in this spectrum is observed at 3.84235 cm, calculate the Internuclear distance In nm for the molecule XY. If the masses of X and Y are 19.92168 kg and 26.56136 kg respectively. 0.2761 nm 0.1356 nm 0.6953 nm 0.1131 nmarrow_forwardExplain Vibrational spectra of vibrating diatomic moleculesarrow_forwardIn a molecule of hydrogen iodide HI (HI is used in organic and inorganic synthesis as one of the main sources of iodine and as a reducing agent) the vibrational frequency of the molecule is 6.69x10^13 Hz. Iodine is much more heavier than hydrogen, so I can be considered immobile compared to H. Determine the expected value of the potential energy for the hydrogen atom in this molecule in the ground state. Use this to calculate the expected value of the kinetic energy.arrow_forward
- The right-hand diagram shows electronic and vibrational levels for a diatomic molecule. Indicate which peaks in the spectrum below correspond to which vibrational transition. Explain the difference in the intensity of the vibrational peaks in the spectrum from part a. Why is the first peak the most intense?arrow_forwardConsidering that the HCI molecule behaves like a harmonic oscillator, calculate: a) The reduced mass and the moment of inertia. b) The energy of the three lowest rotational levels and the degeneracy of each level. c) The amplitude of vibration in the ground state. Interpret the result obtained, comparing it with the value of the internuclear distance, which is 1,275 Å. Data: NA = 6.022x1023 mol1; h = 6.626x10 34 J s; k = 491.8 N m1 Relative atomic masses: H = 1.008 and CI %3D 35.453arrow_forwardwhat is the lewis dot structure of an excited state oxygen?arrow_forward
- d) Write the selection rule for rotational spectrum and define the term used there in. e) Calculate the energy (in ergs) per photon for radiations of A = 400nm. f) Which of the following molecules exhibit rotational spectrum: СО, Н, НВr, Н.0arrow_forwardExplain why Infrared spectroscopy is sometimes called vibrational spectroscopy.arrow_forwardWhat is the order of decreasing vibrational frequency for C — Cl, C — Br, C — C, C — O and C — H ?arrow_forward
- Principles of Modern ChemistryChemistryISBN:9781305079113Author:David W. Oxtoby, H. Pat Gillis, Laurie J. ButlerPublisher:Cengage LearningPhysical ChemistryChemistryISBN:9781133958437Author:Ball, David W. (david Warren), BAER, TomasPublisher:Wadsworth Cengage Learning,