Physical Chemistry
2nd Edition
ISBN: 9781133958437
Author: Ball, David W. (david Warren), BAER, Tomas
Publisher: Wadsworth Cengage Learning,
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Chapter 11, Problem 11.34E
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Chemistry
Let ωCH be the angular frequency of the C-H bond stretching vibration observed in theIR spectrum of an organic molecule. (Note that angular frequency ω = 2πν). EstimateωC2H, the bond stretching frequency when 1H is substituted by 2H in the molecule.(Express ωC2H in terms of ωCH).
Suppose that an ethene molecule is ionized by a photon to give the C2 H+4 ion. Will the bond order of the carbon–carbon bond increase or decrease? Explain.
. Figure 8–59 illustrates an H,O molecule. The O-H bond
length is 0.096 nm and the H- 0-H bonds make an
angle of 104°. Calculate the moment of inertia of the H2O
molecule (assume the atoms are points) about an
axis passing through the center of the oxygen
atom (a) perpendicular to the plane of the
molecule, and (b) in the plane of the molecule,
bisecting the H-0-Hbonds.
H
|104°
FIGURE 8–59
H
Problem 82.
Chapter 11 Solutions
Physical Chemistry
Ch. 11 - Convert 3.558mdyn/A into units of N/m.Ch. 11 - Prob. 11.2ECh. 11 - Prob. 11.3ECh. 11 - Prob. 11.4ECh. 11 - Prob. 11.5ECh. 11 - Prob. 11.6ECh. 11 - Prob. 11.7ECh. 11 - Prob. 11.8ECh. 11 - Prob. 11.9ECh. 11 - Prob. 11.10E
Ch. 11 - Prob. 11.11ECh. 11 - Prob. 11.12ECh. 11 - a For a pendulum having classical frequency of...Ch. 11 - Prob. 11.14ECh. 11 - The OH bond in water vibrates at a frequency of...Ch. 11 - Show that 2 and 3 for the harmonic oscillator are...Ch. 11 - Prob. 11.17ECh. 11 - Prob. 11.18ECh. 11 - Prob. 11.19ECh. 11 - Use the expression for 1 in equations 11.17 and...Ch. 11 - Prob. 11.21ECh. 11 - Prob. 11.22ECh. 11 - Consider Figure 11.4 and choose the correct...Ch. 11 - Based on the trend shown in Figure 11.5, draw the...Ch. 11 - Prob. 11.25ECh. 11 - Prob. 11.26ECh. 11 - Prob. 11.27ECh. 11 - Prob. 11.28ECh. 11 - Prob. 11.29ECh. 11 - Prob. 11.30ECh. 11 - Compare the mass of the electron, me, with a the...Ch. 11 - Reduced mass is not reserved only for atomic...Ch. 11 - Prob. 11.33ECh. 11 - An OH bond has a frequency of 3650cm1. Using...Ch. 11 - Prob. 11.35ECh. 11 - Prob. 11.36ECh. 11 - Prob. 11.37ECh. 11 - Prob. 11.38ECh. 11 - Prob. 11.39ECh. 11 - What are the energies and angular momenta of the...Ch. 11 - Prob. 11.41ECh. 11 - A 25-kg child is on a merry-go-round/calliope,...Ch. 11 - Prob. 11.43ECh. 11 - a Using the expression for the energy of a 2-D...Ch. 11 - Prob. 11.45ECh. 11 - Prob. 11.46ECh. 11 - Prob. 11.47ECh. 11 - The quantized angular momentum is choose one:...Ch. 11 - Prob. 11.49ECh. 11 - Prob. 11.50ECh. 11 - Prob. 11.51ECh. 11 - Can you evaluate r for the spherical harmonic Y22?...Ch. 11 - Show that 1,0 and 1,1 for 3-D rotational motion...Ch. 11 - Prob. 11.54ECh. 11 - Prob. 11.55ECh. 11 - a Using the he expression for the energy of a 3-D...Ch. 11 - Prob. 11.57ECh. 11 - In exercise 11.57 regarding C60, what are the...Ch. 11 - Draw the graphical representations see Figure...Ch. 11 - Prob. 11.60ECh. 11 - What is the physical explanation of the difference...Ch. 11 - List the charges on hydrogen-like atoms whose...Ch. 11 - Prob. 11.63ECh. 11 - Prob. 11.64ECh. 11 - Prob. 11.65ECh. 11 - Calculate the difference between the Bohr radius...Ch. 11 - To four significant figures, the first four lines...Ch. 11 - What would the wavelengths of the Balmer series...Ch. 11 - Construct an energy level diagram showing all...Ch. 11 - Prob. 11.70ECh. 11 - What is the degeneracy of an h subshell? An n...Ch. 11 - What is the numerical value of the total angular...Ch. 11 - What are the values of E, L, and Lz for an F8+...Ch. 11 - Prob. 11.74ECh. 11 - Why does the wavefunction 4,4,0 not exist?...Ch. 11 - Prob. 11.76ECh. 11 - What is the probability of finding an electron in...Ch. 11 - What is the probability of finding an electron in...Ch. 11 - Prob. 11.79ECh. 11 - Prob. 11.80ECh. 11 - State how many radial, angular, and total nodes...Ch. 11 - Prob. 11.82ECh. 11 - Prob. 11.83ECh. 11 - Verify the specific value of a, the Bohr radius,...Ch. 11 - Prob. 11.85ECh. 11 - Prob. 11.86ECh. 11 - Evaluate Lz for 3px, Compare it to the answer in...Ch. 11 - Calculate V for 1s of the H atom and compare it to...Ch. 11 - Prob. 11.89ECh. 11 - Prob. 11.90ECh. 11 - Prob. 11.91ECh. 11 - Prob. 11.92ECh. 11 - Graph the first five wavefunctions for the...Ch. 11 - Prob. 11.94ECh. 11 - Set up and evaluate numerically the integral that...Ch. 11 - Prob. 11.96E
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- Write the valence-bond wavefunction for the resonance hybrid HF ↔ H+F− ↔ H−F+ (allow for different contributions of each structure).arrow_forwardWrite the valence bond wavefunction of the σ bond in a C-H group of a molecule.arrow_forwardElectronic excitation of a molecule may weaken or strengthen some bonds because bonding and antibonding characteristics differ between the HOMO and the LUMO. For example, a carbon–carbon bond in a linear polyene may have bonding character in the HOMO and antibonding character in the LUMO. Therefore, promotion of an electron from the HOMO to the LUMO weakens this carbon–carbon bond in the excited electronic state, relative to the ground electronic state. Consult Figs. 9E.2 and 9E.4 and discuss in detail any changes in bond order that accompany the π*←π ultraviolet absorptions in butadiene and benzene.arrow_forward
- Write the valence bond wavefunction for the one σ and two π bonds in a nitrogen molecule, N2.arrow_forward4G I 5:53 2.30 O Yo 40 52% KB/s 1. The C-C stretch in allene (H,C-C=CH,) is about 1650 cm'; the C-H stretch is about 3,100 cm". Calculate the corresponding wavelengths (in nm) and energies (in kJ/mol) of these vibrations. () IIarrow_forwardSuppose that unnormalized molecular orbital has the form Ψ= 0.6A +0.4B, where A and B are normalized atomic orbitals. a.) Determine a linear combination of A and B orbitals that is orthogonal to wavefunction Ψ if orbital overlap is S=0.2 b.) Determine normalization constant for wavefunction Ψarrow_forward
- Suppose that an ethene molecule gains an additional electron to give the 2 C H-4 ion. Will the bond order of the carbon–carbon bond increase or decrease? Explain.arrow_forward7. Consider the Jablonski diagrams below, where So, S₁, and S2 are all singlet electronic states, and T₁ is a triplet electronic state. (So is the electronic ground state.) The horizontal lines indicate the vibrational energy levels in each electronic state. The arrow drawn on the diagram represents the absorption of a UV photon with = 250 nm, promoting the molecule to a high vibrational level in the S₁ state. (The wavelength values here and below are meant as a guide, but this is not really a quantitative question.) Two different processes are described below the diagrams. Read each one, and then draw an appropriate set of arrows on the corresponding diagram to represent the process described. E Diagram #1 - Fluorescence process S₂ S₁ So SS5 T₁ Vo V4 V3 55555 V₂ V₁ V₁ Diagram #2 - Phosphorescence process E S₂ S₁ So 55555 Vo T₁ 7.1 Diagram #1: After the absorption shown in the diagram, the molecule fluoresces, emitting a photon with = 310 nm. ラララララ 7.2 Diagram #2: After the absorption…arrow_forwardWrite the electronic hamiltonian for HeH+.arrow_forward
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