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 11.62E
List the charges on hydrogen-like atoms whose nuclei are of the following elements. (a) lithium, (b) carbon, (c) iron, (d) samarium, (e) xenon, (f) francium, (g) uranium, (h) seaborgium
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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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- What is the probability of finding an electron in the 1s orbital within 0.1A of an Ne9+ nucleus? Compare your answer to the answer to exercise 11.77 and justify the difference.arrow_forwardA gold nucleus is located at the origin of coordinates, and an electron is brought to a position 3 2 A from the origin in the +y direction. (a) Calculate the force on the gold nucleus exerted by the electron giving its components Fx and Fy . (b) Calculate the potential energy of the gold nucleus and the electron.arrow_forwardDiatomic sulfur, S2, was detected in the tail of Halleys comet when it last approached Earth in 198586. It has a bond length of 1.8801010m. Calculate the value of B, in units of cm1 and J, for S2.arrow_forward
- An Mg atom is in the excited electron configuration [Ne]4s2. What are the possible term symbols for this atom?arrow_forwardSuppose s=12 for an electron. Into how many parts will a magnetic field split a beam of Ag atoms?arrow_forwardSuppose that the spin quantum number had three allowed values (ms=0,+12,12) . Give the atomic numbers of the first three noble-gas atoms in this case.arrow_forward
- What is the frequency of light having the following wavelengths? a 1.00m b 4.77105m c 7894A d 1.903103marrow_forwardThe Stark effect is the change in energy of a system due to the presence of an electric field discovered by German physicist Johannes Stark in 1913. Consider the hydrogen atom. Its normally spherical 1s orbital distorts slightly when exposed to an electric field. If the electric field is considered to be in the z direction, then the field acts to introduce, or mix, some 2pz character in with the 1s orbital. The atom is said to be polarizable, and the extent to which it changes is considered a measure of the atoms polarizability which is designated by the letter , not to be confused with the spin function . The perturbation Hamiltonian is defined as H=eErcos, where e is the charge on the electron, E is the strength of the electric field, and r and represent coordinates of the electron. Evaluate the perturbation energy of the hydrogen atom. You will have to integrate all the three spherical polar coordinates in your evaluation of H. A similar effect, the Zeeman effect, exists for magnetic fields. It too can be treated using perturbation theory.arrow_forwardCompare the mass of the electron, me, with a the reduced mass of a hydrogen atom; b the reduced mass of a deuterium atom (deuterium=2H); c the reduced mass of a carbon 12 atom having a +5 charge, that is, C5+. Suggest a conclusion to the trend presented by parts a-c.arrow_forward
- Reduced mass is not reserved only for atomic systems. A solar system or a planet/satellite system, for example, can have its behavior described by first determining its reduced mass. If the mass of Earth is 2.4351024kg and that of the moon is 2.9951022kg, what is the reduced mass of the Earth-moon system? This is not to imply any support of a planetary model for atomsarrow_forwardUse the expression for 1 in equations 11.17 and normalize the wavefunction. Use the integral defined for the Hermite polynomials in Table 11.2. Compare your answer with the wavefunction defined by equation 11.19.arrow_forwardCalculate V for 1s of the H atom and compare it to the total energy.arrow_forward
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