University Physics with Modern Physics (14th Edition)
14th Edition
ISBN: 9780321973610
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Question
Chapter 42, Problem 42.43P
To determine
The zero-point vibrational energy for H2 molecule and to compare the answer with the magnitude of H2 bond energy of
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The moment of inertia of water molecule about an axis bisecting the HOH angle is1.91x10-47 kg m2. Its minimum angular momentum about that axis (other than zero) is ℏ. Inclassical terms, how many revolutions per second do the hydrogen atoms make about the axiswhen in that state? Calculate the rotational constant (cm-1) and bond length of H2O. Does the bondlength seem reasonable?
p9C.1 Familiarity with the magnitudes of overlap integrals is useful when con-
sidering bonding abilities of atoms, and hydrogenic orbitals give an indication
of their values. (a) The overlap integral between two hydrogenic 2s orbitals is
1 ( ZR
ZR
+.
2а, " 12 а,
1
+
ZR
240 a,
-ZR/Z0
S(2s, 2s)={1+
Plot this expression. (b) For what internuclear distance is S(2s,2s) = 0.50?
(c) The side-by-side overlap of two 2p orbitals of atoms of atomic number Z is
ZR
1 ( ZR
ZR
S(2p,2p) ={1+
10 a,
2a,
120
a.
Plot this expression. (d) Evaluate S(2s,2p) at the internuclear distance you
calculated in part (b).
In solid KCI the smallest distance between the centers of a. potassium ion and a chloride ion is 314 pm. Calculate the length of the edge of the unit cell and the density of KCI, assuming it has the same structure as sodium chloride.
Chapter 42 Solutions
University Physics with Modern Physics (14th Edition)
Ch. 42.1 - If electrons obeyed the exclusion principle but...Ch. 42.2 - Prob. 42.2TYUCh. 42.3 - Prob. 42.3TYUCh. 42.4 - One type of thermometer works by measuring the...Ch. 42.5 - Prob. 42.5TYUCh. 42.6 - Prob. 42.6TYUCh. 42.7 - Suppose a negative charge is placed on the gate of...Ch. 42 - Van der Waals bonds occur in many molecules, but...Ch. 42 - Prob. 42.2DQCh. 42 - The H2+ molecule consists of two hydrogen nuclei...
Ch. 42 - The moment of inertia for an axis through the...Ch. 42 - Prob. 42.5DQCh. 42 - Prob. 42.6DQCh. 42 - Prob. 42.7DQCh. 42 - The air you are breathing contains primarily...Ch. 42 - Prob. 42.9DQCh. 42 - Prob. 42.10DQCh. 42 - What factors determine whether a material is a...Ch. 42 - Prob. 42.12DQCh. 42 - Prob. 42.13DQCh. 42 - Prob. 42.14DQCh. 42 - Prob. 42.15DQCh. 42 - Prob. 42.16DQCh. 42 - Prob. 42.17DQCh. 42 - Prob. 42.18DQCh. 42 - Prob. 42.19DQCh. 42 - Prob. 42.20DQCh. 42 - Prob. 42.21DQCh. 42 - Prob. 42.22DQCh. 42 - Prob. 42.23DQCh. 42 - Prob. 42.24DQCh. 42 - If the energy of the H2 covalent bond is 4.48 eV,...Ch. 42 - An Ionic Bond, (a) Calculate the electric...Ch. 42 - Prob. 42.3ECh. 42 - Prob. 42.4ECh. 42 - Prob. 42.5ECh. 42 - Prob. 42.6ECh. 42 - Prob. 42.7ECh. 42 - Two atoms of cesium (Cs) can form a Cs2 molecule....Ch. 42 - Prob. 42.9ECh. 42 - Prob. 42.10ECh. 42 - A lithium atom has mass 1.17 1026 kg, and a...Ch. 42 - Prob. 42.12ECh. 42 - When a hypothetical diatomic molecule having atoms...Ch. 42 - The vibrational and rotational energies of the CO...Ch. 42 - Prob. 42.15ECh. 42 - Prob. 42.16ECh. 42 - Prob. 42.17ECh. 42 - Prob. 42.18ECh. 42 - Prob. 42.19ECh. 42 - Prob. 42.20ECh. 42 - Prob. 42.21ECh. 42 - Prob. 42.22ECh. 42 - Prob. 42.23ECh. 42 - Prob. 42.24ECh. 42 - Prob. 42.25ECh. 42 - Prob. 42.26ECh. 42 - Prob. 42.27ECh. 42 - Prob. 42.28ECh. 42 - Prob. 42.29ECh. 42 - Prob. 42.30ECh. 42 - Prob. 42.31ECh. 42 - Prob. 42.32ECh. 42 - Prob. 42.33PCh. 42 - Prob. 42.34PCh. 42 - Prob. 42.35PCh. 42 - The binding energy of a potassium chloride...Ch. 42 - (a) For the sodium chloride molecule (NaCl)...Ch. 42 - Prob. 42.38PCh. 42 - Prob. 42.39PCh. 42 - Prob. 42.40PCh. 42 - Prob. 42.41PCh. 42 - Prob. 42.42PCh. 42 - Prob. 42.43PCh. 42 - Prob. 42.44PCh. 42 - Prob. 42.45PCh. 42 - Prob. 42.46PCh. 42 - Prob. 42.47PCh. 42 - Prob. 42.48PCh. 42 - Prob. 42.49PCh. 42 - Prob. 42.50PCh. 42 - Prob. 42.51PCh. 42 - Prob. 42.52PCh. 42 - Prob. 42.53CPCh. 42 - Prob. 42.54CPCh. 42 - Prob. 42.55CPCh. 42 - Prob. 42.56PPCh. 42 - Prob. 42.57PPCh. 42 - Prob. 42.58PP
Knowledge Booster
Similar questions
- A fluorine atom (molar mass = 18.9984 g/mol) forms a bond with a very large molecule. In this case, this fluorine atom can be treated as a quantum particle connected to a wall by a spring. The spring force constant k = 900 N/m. Which of the following vibrational quantum states (in terms of quantum number v) does have the vibration energy greater than 24942 Joule/mol, corresponding to the thermal energy of 1-mol molecules in an oven at 2000 K. (one, more than one, or no answer) The precision of your calculation is essential to obtain the correct answer(s). a) the quantum state with vibration quantum number v = 0 b) the quantum state with vibration quantum number v = 1 C) the quantum state with vibration quantum numberv = 2 Oa) only O b) only o only O a) and b) Ob) and c) O) and a) a), b) and c) None of the 3 staterments is true.arrow_forwardConsider a three-dimensional crystalline lattice formed of Cu and Zn atoms. The Cu atoms form a simple cubic lattice with the lattice constant a. The Zn atoms are at the center of the cube. a) Write down the structure factor S, associated with the reciprocal lattice vector G = vib1 + vzb2 + v3b3 in terms of the atomic form factors f and f, b) If Cu and Zn atoms randomly occupy every lattice site, then the form factor associated with every lattice site can be assumed to be the same, namely the average of the two form factors. Which Bragg spots will vanish in this case?arrow_forwardThe bond length in the BrF molecule is 178 pm and the measured dipole moment is 1.29 D (debyes). What is the magnitude of the negative charge (in units of the electronic charge e) on F in BrF? (1 debye = 3.34 × 10−30 coulomb-meters; electronic charge = e = 1.6 × 10−19 coulombs). A. 0.15 B. 0.24 C. 0.33 D. 1.00 E. 1.6 × 10−19arrow_forward
- The separation between two hydrogen atoms in an H2 molecule is 75 pm. The mass of a hydrogen atom is 1.6735 x 1027 Kg. Find the energy of the rotational state of H2 with quantum number I = 9. Give your answer in unites of eV. Round your answer to 3 decimal places. Add your answerarrow_forwardThe vibrational frequency of an HF molecule is 8.72 x 1013 Hz and the reduced mass of the molecule is 1.589 x 1027 kg. What is the ground state vibrational energy of an HF molecule? (1 eV = 1.60 x 10-19 J, h = 6.626 x 10 34 J.s) %3D 0.18 ev O 2.4 ev O 0.12 ev O 1.2 ev O 3 ev Clear my choice 10 searcharrow_forwardWhen a hypothetical diatomic molecule having atoms 0.8890 nm apart undergoes a rotational transition from the l= 2 state to the next lower state, it gives up a photon having energy 8.850 * 10-* eV. When the molecule undergoes a vibrational transition from one energy state to the next lower energy state, it gives up 0.2540 eV. Find the force constant of this molecule. O k'=30.22 N/m k=31.05 N/m k'=20.22 N/m k'=31.55 N/m k' =29.55 N/marrow_forward
- When an OH molecule undergoes a transition from the n = 0 to the n = 1 vibrational level, its internal vibrational energy increases by 0.463 eV. Calculate the frequency of vibration and the force constant for the interatomic force. (The mass of an oxygen atom is 2.66 * 10-26 kg, and the mass of a hydrogen atom is 1.67 * 10-27 kg.)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(b) Describe the nature and origin of various forces existing between the atoms of a crystal. Explain the formation of a stable bond using the potential energy versus interatomic distance curve. Assume that the potential energy of two particles in the field of each other is given by U(R) = - R where A and B are constants. R9 (i) Show that the particles form a stable compound for R= R. = (9B/A)/8 (R, is equilibrium separation) i) Show that for stable configuration, the energy of attraction is nine times the energy of repulsion. 8A (iii) Show that the potential energy of the system under stable configuration is 9Rearrow_forward
- The potential energy of a system of two atoms is given by the relation U =-A/r + B/r10 A stable molecule is formed with the release of 8 eV energy when the interatomic distance is 2.8 Å. Find A and B and the force needed to dissociate this molecule into atoms and the interatomic distance at which the dissociation occurs.arrow_forwardTo determine the equilibrium separation of the atoms in the HCl molecule, you measure the rotational spectrum of HCl. You find that the spectrum contains these wavelengths (among others): 60.4 mm, 69.0 mm, 80.4 mm, 96.4 mm, and 120.4 mm. (a) Use your measured wavelengths to find the moment of inertia of the HCl molecule about an axis through the center of mass and perpendicular to the line joining the two nuclei. (b) The value of l changes by +-1 in rotational transitions. What value of l for the upper level of the transition gives rise to each of these wavelengths? (c) Use your result of part (a) to calculate the equilibrium separation of the atoms in the HCl molecule. The mass of a chlorine atom is 5.81 * 10-26 kg, and the mass of a hydrogen atom is 1.67 * 10-27 kg. (d) What is the longest-wavelength line in the rotational spectrum of HCl?arrow_forwardWhen a hypothetical diamotic molecule having atoms 0.8890 nm apart undergoes a rotational transition from the l=2 state to the next lower state, it gives up a photon having energy 8.850 * 10^-4 eV. When the molecule undergoes a vibrational transition from one energy state to the next lower energy state, it gives up 0.2540 eV. Find the force constant of this molecule.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
University Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSON
Introduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Lecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
University Physics (14th Edition)
Physics
ISBN:9780133969290
Author:Hugh D. Young, Roger A. Freedman
Publisher:PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:9781107189638
Author:Griffiths, David J., Schroeter, Darrell F.
Publisher:Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:9780321820464
Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...
Physics
ISBN:9780134609034
Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:PEARSON