Physical Chemistry
2nd Edition
ISBN: 9781133958437
Author: Ball, David W. (david Warren), BAER, Tomas
Publisher: Wadsworth Cengage Learning,
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Textbook Question
Chapter 12, Problem 12.46E
Explain why assuming an “effective nuclear charge,” as used for our treatment of the helium atom in Example 12.11, is unnecessary for a treatment of the hydrogen atom.
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Physical Chemistry
Ch. 12 - In the Stern-Gerlach experiment, silver atoms were...Ch. 12 - Prob. 12.2ECh. 12 - Prob. 12.3ECh. 12 - Suppose s=12 for an electron. Into how many parts...Ch. 12 - Using and labels, write two possible...Ch. 12 - List all possible combinations of all four quantum...Ch. 12 - What are the degeneracies of the H atom...Ch. 12 - Prob. 12.8ECh. 12 - a Differentiate between the quantum numbers s and...Ch. 12 - Is the spin orbital 1s for the H atom still...
Ch. 12 - Draw a diagram analogous to Figure 11.15, but now...Ch. 12 - Are mathematical expressions for the following...Ch. 12 - Prob. 12.13ECh. 12 - Prob. 12.14ECh. 12 - a Assume that the electronic energy of Li was a...Ch. 12 - Spin orbitals are products of spatial and spin...Ch. 12 - If 1 and 2 are the individual wavefunctions for...Ch. 12 - Show that the correct behavior of a wavefunction...Ch. 12 - Prob. 12.19ECh. 12 - Why isnt the electron configuration of beryllium,...Ch. 12 - Prob. 12.21ECh. 12 - Write a Slater determinant for the lithide ion,...Ch. 12 - Why does the concept of antisymmetric...Ch. 12 - a Construct Slater determinant wavefunctions for...Ch. 12 - Prob. 12.25ECh. 12 - Prob. 12.26ECh. 12 - Prob. 12.27ECh. 12 - Suppose an electron had three possible values of...Ch. 12 - Using a periodic table or Table 12.1, find the...Ch. 12 - Write an acceptable electron configuration for...Ch. 12 - Prob. 12.31ECh. 12 - Prob. 12.32ECh. 12 - Prob. 12.33ECh. 12 - An anharmonic oscillator has the potential...Ch. 12 - Prob. 12.35ECh. 12 - In a particle-in-a-box having length a, the...Ch. 12 - Prob. 12.37ECh. 12 - Prob. 12.38ECh. 12 - Prob. 12.39ECh. 12 - The Stark effect is the change in energy of a...Ch. 12 - Prob. 12.41ECh. 12 - Prob. 12.42ECh. 12 - Prob. 12.43ECh. 12 - Show that a variation theory treatment of H using...Ch. 12 - Prob. 12.45ECh. 12 - Explain why assuming an effective nuclear charge,...Ch. 12 - Prob. 12.47ECh. 12 - Consider a real system. Assume that a real...Ch. 12 - Prob. 12.49ECh. 12 - Prob. 12.50ECh. 12 - Prob. 12.51ECh. 12 - Prob. 12.52ECh. 12 - State the Born-Oppenheimer approximation in words...Ch. 12 - Prob. 12.54ECh. 12 - Spectroscopy deals with differences in energy...Ch. 12 - Prob. 12.56ECh. 12 - What is the bond order for the lowest excited...Ch. 12 - The helium atom was defined as two electrons and a...Ch. 12 - Explain how we know that the first in equation...Ch. 12 - Prob. 12.60ECh. 12 - Prob. 12.61ECh. 12 - Use molecular orbital arguments to decide whether...Ch. 12 - Prob. 12.63ECh. 12 - Prob. 12.65ECh. 12 - Prob. 12.67ECh. 12 - Prob. 12.68E
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- Compare 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_forwardSuppose an electron had three possible values of ms, designated , and . What is the Slater determinant for Li? For Be?arrow_forwardWhat is the value of the change in energy, E, for the (n,l) transition of the hydrogen atom labeled (3,2)(3,1)? Justify your answer.arrow_forward
- A 25-kg child is on a merry-go-round/calliope, going around and around in a large circle that has a radius of 8meters. The child has an angular momentum of 600kgm2/s. a From these facts, estimate the approximate quantum number for the angular momentum the child has. b Estimate the quantized amount of energy the child has in this situation. How does this compare to the childs classical energy? What principle does this illustrate?arrow_forwardWhy does the concept of antisymmetric wavefunctions not need to be considered for the hydrogen atom?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
- An Mg atom is in the excited electron configuration [Ne]4s2. What are the possible term symbols for this atom?arrow_forwardWhat 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_forwardUsing and labels, write two possible wavefunctions for an electron in the 3d2 orbital of He+.arrow_forward
- If 1 and 2 are the individual wavefunctions for electron 1 and electron 2, identify each overall wavefunction as symmetric or antisymmetric with respect to exchange of the two electrons. i.e., 1 becomes 2 and vice versa. a=1+2 b=12 c=12+22 d=sin1+sin2 d=cos1cos2arrow_forwardWhat would the wavelengths of the Balmer series for deuterium be?arrow_forwardList the possible values of L, ML, S, MS, J, and MJ for the following: a two coupled p electrons in different shells, b two coupled f electrons in different shells, c two coupled electrons, one a p electron and one a d electron. Remember that the z-component quantum numbers depend on the values of the total angular momentum quantum numbers.arrow_forward
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