Physical Chemistry
2nd Edition
ISBN: 9781133958437
Author: Ball, David W. (david Warren), BAER, Tomas
Publisher: Wadsworth Cengage Learning,
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Chapter 12, Problem 12.59E
Explain how we know that the first
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Chapter 12 Solutions
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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- The MO of the ground state of a heteronuclear diatomicmoleculeAB is mol=CAA+CBB If a bonding electron spends 90% of its time in an orbital A on atom A and 10% of its time in B on atom B, what are the values of CA and CB ? (Neglect the overlap of the two orbitals.)arrow_forwardPredict the ground electronic state of the He22+ ion. What is the bond order? Will it be stable in the ground state?arrow_forward44. The molecule H3* has long been speculated to exist. The interest here is that the addition of the smallest bit of nuclear matter, a proton, now introduces additional nuclear repulsion over the H₂ problem. The issue was whether electron distributions could lead to a stable configuration. a) Draw what you think would be the most stable structure for H3* and show all the Coulombic terms (write out the potential needed for the corresponding Schroedinger equation). b) Draw what you think is the least stable configure of the 3 protons and 2 electrons. c) It is found that the structure involves the rotation of one proton around the other two, and interchange of which proton is rotating. Offer a potential explanation (think tunneling).arrow_forward
- Construct the (generic) molecular orbital diagram for homonuclear diatomic molecules for elements up to the second period in the periodic table [Write the generic wave functions of the molecular orbitals]arrow_forwardQ. (i)If a homonuclear diatomic molecule is oriented along z-axis, determine the molecular orbital formed by the linear combination of atomic orbitals of the two atoms. Also draw their resulting structure. Determine the orbital having two radial nodes and two angular nodes and also give reason to support your answer. (ii)The signs of the unsquared wave functions are usually shown in plots of the squared functions. Why do you think this practice exists? Give values of angular nodes and plane of 3p, 4d, 2p, 4f, 4s.arrow_forwardHuckel theory: All atomic orbital coefficients in the lowest energy MO (Ψ1) should have the same value – explain why?arrow_forward
- Construct the possible bonding, antibonding, and nonbonding molecular orbitals from combinations of two p orbitals [Write the generic wave functions of the molecular orbitals]arrow_forwardConstruct the possible bonding, antibonding, and nonbonding molecular orbitals from combinations of two d orbitals [Write the generic wave functions of the molecular orbitals]arrow_forwardUse molecular orbital theory to complete the ground state electron configuration for each of the molecules. Molecule Ground state electron configuration NF (σ1s)(σ1s*)(σ2s)(σ2s*)(π2p)(σ2p)(π2p*) NF+ (σ1s)(σ1s*)(σ2s)(σ2s*)(π2p)(σ2p)(π2p*) NF− (σ1s)(σ1s*)(σ2s)(σ2s*)(π2p)(σ2p)(π2p*) Answer Bank 0 1 2 3 4 Determine the bond order of each of the molecules. NF bond order: NF+ bond order: NF− bond order: Classify each molecule according to its magnetic properties. Diamagnetic Paramagnetic Answer Bank NF NF+ NF−arrow_forward
- Please don't provide handwritten solution ...arrow_forwardConsider a ring system made up of 6 atoms (each one contributing a p atomic orbital to make 6 pi molecular orbitals). If the system is filled with 8 electrons, there will ----orbitals containing pairs of electrons and------ orbitals containing single, unpaired electrons. Hint: Use a Frost Circle.arrow_forwardSketch the shape of each of the σ molecular orbitals for H2+ shown in Figure 6.5 in a plane perpendicular to the internuclear axis located at the midpoint between the two nuclei. Repeat the sketches for a plane perpendicular to the internuclear axis located at a point one quarter of the distance between the two nuclei.arrow_forward
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