Principles of Modern Chemistry
8th Edition
ISBN: 9781305079113
Author: David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher: Cengage Learning
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Textbook Question
Chapter 6, Problem 71AP
The MO of the ground state of a heteronuclear diatomicmoleculeAB is
If a bonding electron spends 90% of its time in an orbital
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Construct the wavefunction of the π MO from the 2pz atomic orbitals perpendicular to the plane of the C atoms. How many π MO result from the available 2pz A.O.?
although we associate
Pz
2. Now we will move on to diatomic molecules. In atoms all p-orbitals are equivalent
with m/= 0, and px py with m/= ±1. In diatomic
molecules these orbitals are in fact separated, with pz associated with o orbitals
along the internuclear axis and px py associated with л orbitals (m/= ±1). In
determining electron configurations we do indeed separate them: N₂ (KK¹ 0₂²).
and O2 (KKogu ng *2).
4
a. Two excited states of N₂ are associated with Tu
transitions.
Tg and
og
→ ou*
i.
Draw the MO energy level scheme (p-orbitals only) for the N₂
ground state and for these two excited states.
ii.
Obtain the term symbols for the two excited states and order
them according to Hund's rules.
iii. Write the wave functions for each of the terms obtained in ii)
above.
iv. Pick one wave function from each excited state and show it
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d
Chapter 6 Solutions
Principles of Modern Chemistry
Ch. 6 - Determine the number of nodes along the...Ch. 6 - Determine the number of nodes along the...Ch. 6 - Sketch the shape of each of the molecular...Ch. 6 - Sketch the shape of each of the molecular...Ch. 6 - Compare the electron density in the 1g and 1u*...Ch. 6 - Explain why 1g is the ground state for H2+ . By...Ch. 6 - Prob. 7PCh. 6 - Predict the ground electronic state of the He22+...Ch. 6 - Prob. 9PCh. 6 - Prob. 10P
Ch. 6 - Without consulting tables of data, predict which...Ch. 6 - Without consulting tables of data, predict which...Ch. 6 - Without consulting tables of data, on the same...Ch. 6 - Without consulting tables of data, on the same...Ch. 6 - Suppose we supply enough energy to H2 to remove...Ch. 6 - Suppose we supply enough energy to He2+ to remove...Ch. 6 - Prob. 17PCh. 6 - When one electron is added to an oxygen molecule,...Ch. 6 - Predict the valence electron configuration and the...Ch. 6 - Predict the valence electron configuration and the...Ch. 6 - Prob. 21PCh. 6 - For each of the following valence electron...Ch. 6 - For each of the electron configurations in Problem...Ch. 6 - For each of the electron configurations in Problem...Ch. 6 - Following the pattern of Figure 6.21, work out the...Ch. 6 - Following the pattern of Figure 6.21, work out the...Ch. 6 - The bond length of the transient diatomic molecule...Ch. 6 - The compound nitrogen oxide (NO) forms when the...Ch. 6 - What would be the electron configuration for a HeH...Ch. 6 - The molecular ion HeH+ has an equilibrium bond...Ch. 6 - Prob. 31PCh. 6 - Predict the ground state electronic configuration...Ch. 6 - The bond dissociation energies for the species NO,...Ch. 6 - The ionization energy of CO is greater than that...Ch. 6 - Photoelectron spectra were acquired from a sample...Ch. 6 - Photoelectron spectra were acquired from a sample...Ch. 6 - Prob. 37PCh. 6 - From the n=0 peaks in the photoelectron spectrum...Ch. 6 - The photoelectron spectrum of HBr has two main...Ch. 6 - The photoelectron spectrum of CO has four major...Ch. 6 - Write simple valence bond wave functions for the...Ch. 6 - Write simple valence bond wave functions for the...Ch. 6 - Both the simple VB model and the LCAO method...Ch. 6 - Both the simple VB model and the LCAO method...Ch. 6 - Write simple valence bond wave functions for...Ch. 6 - Write simple valence bond wave functions for...Ch. 6 - Write simple valence bond wave functions for the...Ch. 6 - Write simple valence bond wave functions for the...Ch. 6 - Formulate a localized bond picture for the amide...Ch. 6 - Formulate a localized bond picture for the...Ch. 6 - Prob. 51PCh. 6 - Draw a Lewis electron dot diagram for each of the...Ch. 6 - Describe the hybrid orbitals on the chlorine atom...Ch. 6 - Describe the hybrid orbitals on the chlorine atom...Ch. 6 - The sodium salt of the unfamiliar orthonitrate ion...Ch. 6 - Describe the hybrid orbitals used by the carbon...Ch. 6 - Describe the bonding in the bent molecule NF2 ....Ch. 6 - Describe the bonding in the bent molecule OF2 ....Ch. 6 - The azide ion (N3) is a weakly bound molecular...Ch. 6 - Formulate the MO structure of (NO2+) for localized...Ch. 6 - Discuss the nature of the bonding in the nitrite...Ch. 6 - Discuss the nature of the bonding in the nitrate...Ch. 6 - The pyridine molecule (C5H5N) is obtained by...Ch. 6 - For each of the following molecules, construct the...Ch. 6 - (a) Sketch the occupied MOs of the valence shell...Ch. 6 - Calcium carbide (CaC2) is an intermediate in the...Ch. 6 - The B2 molecule is paramagnetic; show how this...Ch. 6 - The Be2 molecule has been detected experimentally....Ch. 6 - Prob. 69APCh. 6 - The molecular ion HeH+ has an equilibrium bond...Ch. 6 - The MO of the ground state of a heteronuclear...Ch. 6 - The stable molecular ion H3+ is triangular, with...Ch. 6 - According to recent spectroscopic results,...Ch. 6 - trans-tetrazene (N4H4) consists of a chain of four...
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- The photoelectron spectrum of HBr has two main groups of peaks. The first has ionization energy 11.88 eV. The next peak has ionization energy 15.2 eV, and it is followed by a long progression of peaks with higher ionization energies. Identify the molecular orbitals corresponding to these two groups of peaks.arrow_forwardUse the data in Table 3.1 to plot the logarithm of ionization energy versus the number of electrons removed for Ne. Describe the electronic structure of the Ne atom.arrow_forward5. The ground state of NO2 is A1. To what excited states may it be excited by electric dipole transitions, and what polarizations of light is it necessary to use to get the transition.arrow_forward
- helparrow_forwardSuppose that the H2+ ion is excited by light so that an electron moves from a lower-energy to a higher energy MO. Would you expect the excited- state H2+ ion to be stable or to fall apart? Explain.arrow_forwardGiven that the following MO-energy-level diagram applies to the the diatomic molecular cation BO+, match the letter label of each energy level with the corresponding orbital descriptor. (See attached image!) O2pσ2pσ2s*π2pσ2p*B+2sπ2p*σ2sO2sB+2p Does this diagram display the effect of s-p orbital mixing? YES or NO? Which kind of magnetism would be observed for this cation? paramagnetism diamagnetism What is the bond order for this cation? 0.0, 0.5, 1.0, 1.5, 2.0, 2.5, 3.0, 3.5, 2.0arrow_forward
- Considering a homonuclear diatomic 2 pis molecule, the parity label "gerade" (or "g") indicates that there is a change in sign of the orbitals when passing through the center of the molecule. * O True O Falsearrow_forward1. Derive the following expression for the bonding and antibonding orbitals of a heteronuclear diatomic molecule consisting of two electrons in a molecular orbital of the form y = CAA + CBB with atomic orbitals A and B. Let aa=HAA, aB=HBB, B=HAB=HBA, SAA-SBB=1, and, as a simplification, let SAB=SBA=S=0 (zero-overlap approximation). Note that the assumption of SAB=SBA=S=0 is used simply to get a more transparent expression. Show that the secular determinant is given by a,-E - E and energies are given by 1/2 2B E̟ = }(a, +a,)±(a,-a,) For B<0, E+ is the lower energy solution.arrow_forwardThe ground state of NO2 is A1 in the group C2v. To what excited states may it be excited by electric dipole transitions, and what polarization of light is it necessary to use?arrow_forward
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