Modern Physics
3rd Edition
ISBN: 9781111794378
Author: Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Question
Chapter 11, Problem 1Q
To determine
The modes in which diatomic molecules store energy, modes corresponding to least and most excitation energy.
Expert Solution & Answer
Answer to Problem 1Q
The modes in which diatomic molecules store energy, modes corresponding to least and most excitation energy are given.
Explanation of Solution
The modes in which diatomic molecules store energy are – Translational kinetic energy, Rotational kinetic energy and Vibrational energy.
Mode corresponding to least excitation energy is Translational kinetic energy. Mode corresponding to most excitation energy is Vibrational energy.
Conclusion:
The modes in which diatomic molecules store energy, modes corresponding to least and most excitation energy are given.
Want to see more full solutions like this?
Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
o atom2) The interatomic interaction energy for two atoms (with masses m₁ and
m2) of a diatomic molecule is given as:
A
B
Eint. (r)
12
r
oms(A where r is the distance between these two atoms (A and B are positive con-troni
(bondstants) Find the binding energy, equilibrium (bond) distance between two
ilc in teratoms and vibrational frequency of the molecule in terms of given parameters.
1. A model for the potential energy interaction between the two nitrogen atoms in the
N2 molecule is proposed that has the form:
v(4) = 4E, (4)* - ()']
12
a. Find the position of the potential minimum and its value there, in terms of o and Eo,
respectively. What do these parameters represent physically about the molecule?
b. Draw a hand sketch of V(r) showing rmin, V(rmin) and where V crosses the r axis.
c. If the atom is disturbed from its equilibrium by a small amount, show that the
7.56.
frequency of oscillation is w =
d. For molecular nitrogen, the bond length is 1.1 x 10-1°m, the bond (binding) energy is
9.79 eV (15.66 x 10-19 J), the mass is 14 amu = 23.38 x 10-27 kg. In the spectroscopy
laboratory, this vibration is measured to be 8.8 x 1013 Hz. Is this a good model for
the interatomic potential? (Recall o = 2n times frequency in Hz)
where m is the mass of a nitrogen atom.
H.W (i) A germanium transistor is to be operated at zero signal Ic = 1mA. If the
collector supply Vcc= 12V, what is the value of Rg in the base resistor
method ? Take B = 100.
(ii) If another transistor of the same batch with B= 50 is used, what will be
the new value of zero signal Ic for the same RB?
%3D
%3D
Chapter 11 Solutions
Modern Physics
Ch. 11.2 - Compare the effective force constant for the CO...Ch. 11 - Prob. 1QCh. 11 - Prob. 2QCh. 11 - Prob. 3QCh. 11 - Prob. 4QCh. 11 - Prob. 5QCh. 11 - Prob. 7QCh. 11 - Prob. 8QCh. 11 - Prob. 9QCh. 11 - Prob. 1P
Ch. 11 - Use the data in Table 11.2 to calculate the...Ch. 11 - The CO molecule undergoes a rotational transition...Ch. 11 - Prob. 4PCh. 11 - Prob. 5PCh. 11 - Prob. 6PCh. 11 - Prob. 7PCh. 11 - The v = 0 to v = 1 vibrational transition of the...Ch. 11 - Consider the HCl molecule, which consists of a...Ch. 11 - Prob. 10PCh. 11 - Prob. 11PCh. 11 - Prob. 12PCh. 11 - Prob. 13PCh. 11 - Prob. 14PCh. 11 - Prob. 15PCh. 11 - Prob. 18P
Knowledge Booster
Similar questions
- The characteristic energy for KCl is 1.4105eV . (a) Determine for the KC1 molecule, (b) Find the separation distance between the K arid Cl atoms.arrow_forwardAs an alternative to Equation 42.1, another useful model for the potential energy of a diatomic molecule is the Morse potential U(r)=B[ea(rr0)1]2 where B, a, and r0 are parameters used to adjust the shape of the potential and its depth. (a) What is the equilibrium separation of the nuclei? (b) What is the depth of the potential well, defined as the difference in energy between the potentials minimum value and its asymptote as r approaches infinity? (c) If is the reduced mass of the system of two nuclei and assuming the potential is nearly parabolic about the well minimum, what is the vibrational frequency of the diatomic molecule in its ground state? (d) What amount of energy needs to be supplied to the ground-state molecule to separate the two nuclei to infinity?arrow_forwardThe interaction between an atom and a diatomic molecule is described by a ‘repulsive’ potential energy surface. What distribution of vibrational and translational energies among the reactants is most likely to lead to a successful reaction? Describe the distribution of vibrational and translational energies among the products for these most successful reactions.arrow_forward
- Molecular oxygen (O2) has a vibrational state transition energy of approximately 250 meV a) Calculate the relative populations of the vibrational ground state and first excited states of a collection of O2 molecules at 300 K. b) Calculate the probability of finding an O2 molecule in its vibrational ground state at 1200 Karrow_forwardM Inbox (44,3 x w Virginia Cor X Frcc Chapter 4 H x Visual session.masteringphysics.com/myct/itemView?assig Apps Getting Started Thomson Reuters o ADP ezLaborManag Ch 07 HW Exercise 7.35 - Enhanced - with Feedback The potential energy of two atoms in a diatomic molecule is approximated by U (r) = a/r-b/r°, where r is the spacing between atoms and a and b are positive constants.arrow_forwardThe expression for the second overtone frequency in the vibrational absorption spectra of a diatomic molecule in terms of the harmonic frequency w. and anharmonicity constant x, is (A) 2w.(1 – xe) (B) 2w.(1 – 3x,) (C) 3w.(1– 2xe) (D) 3w.(1 – 4x.)arrow_forward
- The moment of inertia for an axis through the center of mass of a diatomic molecule calculated from the wavelength emitted in an l = 19 -> l = 18 transition is different from the moment of inertia calculated from the wavelength of the photon emitted in an l = 1 -> l = 0 transition. Explain this difference. Which transition corresponds to the larger moment of inertia?arrow_forwardThe force constant of the Cl2 molecule is 323 Nm-1. Calculate the energy at the zero point of vibration and if this amount of energy is converted to translational energy, how fast would the molecule be moving?arrow_forwardIn the motion of a diatomic molecule, the molecule oscillates as if there's a spring connecting the nuclei. translational rotational O vibrational O circumferential centrifugal normal O tensilearrow_forward
- c) Let's think about this. To a first approximation, a diatomic molecule can be represented by a harmonic oscillator. However, we learned that the Morse oscillator provides a better representation of a diatomic molecule. The figure below shows the harmonic and Morse potential energy curves for a diatomic molecule, along with corresponding vibrational wavefunctions. How do you expect the average bond length of a diatomic molecule would change if the molecule transitions from the ground to any of the excited vibrational levels when: 1) the molecule is represented by the harmonic potential, and 2) the molecule is represented by the Morse potential? Explain your reasoning. Harmonic potential Morse potential Vs V4 Vs V1 Vo vo Reg Regarrow_forwardIn the MO diagram for a heteronuclear diatomic molecule, the molecular orbitals will include a smaller contribution from the atomic orbitals that are further from its energy level. True Falsearrow_forwardSuppose we have an ideal fermion gas of identical particles in a "box" at T = 0 K. Which of the following statements are true? a. The multiplicity of the gas is =1 b. The multiplicity of the gas is =N! C. If the gas consists of electrons with densities that correspond to the typical densities of conduction electrons in metals, only a part of the electrons can contribute to the heat capacity of the system as the temperature rises. d. If the gas consists of electrons with densities corresponding the typical densities of conduction electrons in metals, all electrons can easily contribute to the heat capacity of the system as the temperature rises.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningUniversity Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStax
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
University Physics Volume 3
Physics
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:OpenStax