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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Chapter 5, Problem 31P
Photoelectron spectroscopy studies have determined the orbital energies for fluorine atoms to be
Estimate the value of
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3- Consider the atom having the electron configuration 1s 2s2 2p 3s 3p.
Assume that the z components of both the orbital and spin angular momenta of the electron in the 3p subshell are
positive. What are the quantum numbers that describe the state of this electron?
On=3,1= 1, m = 1, s = 1/2
n = 3,1 = 2, m = 1, s = 1/2
On= 3,1= 2, m 2, s =-1/2
On=3,13D 1, m = 2, s = 1/2
On=3,1 1, m = -1, s = 1/2
%3D
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
obeys the Pauli Principle.
State the orbital degeneracy of the levels in a hydrogen atom that have energy (i) −hcR᷉H; (ii) − 1/9hcR᷉H; (iii) − 1/25hcR᷉H.
Chapter 5 Solutions
Principles of Modern Chemistry
Ch. 5 - Which of the following combinations of quantum...Ch. 5 - Which of the following combinations of quantum...Ch. 5 - Label the orbitals described by each of the...Ch. 5 - Label the orbitals described by each of the...Ch. 5 - Estimate the probability of finding an electron...Ch. 5 - Using Table 5.2, write down the mathematical...Ch. 5 - How many radial nodes and how many angular nodes...Ch. 5 - How many radial nodes and how many angular nodes...Ch. 5 - Use the mathematical expression for the 2pz wave...Ch. 5 - (a) Use the radial wave function for the 3p...
Ch. 5 - Calculate the average distance of the electron...Ch. 5 - The helium ion He+ is a one-electron system whose...Ch. 5 - Spectroscopic studies show that Li can have...Ch. 5 - Spectroscopic studies of Li also show that...Ch. 5 - Spectroscopic studies show that Na can have...Ch. 5 - Using data from Problems 13 and 15, calculate the...Ch. 5 - Give the ground-state electron configurations of...Ch. 5 - Give the ground-state electron configurations of...Ch. 5 - Prob. 19PCh. 5 - Write ground-state electron configurations for the...Ch. 5 - Identify the atom or ion corresponding to each of...Ch. 5 - Identify the atom or ion corresponding to each of...Ch. 5 - Predict the atomic number of the (as yet...Ch. 5 - (a) Predict the atomic number of the (as yet...Ch. 5 - Suppose that the spin quantum number did not...Ch. 5 - Suppose that the spin quantum number had three...Ch. 5 - Photoelectron spectra of mercury (Hg) atoms...Ch. 5 - Quantum mechanics predicts that the energy of the...Ch. 5 - Prob. 29PCh. 5 - Photoelectron spectroscopy studies of silicon...Ch. 5 - Photoelectron spectroscopy studies have determined...Ch. 5 - Prob. 32PCh. 5 - For each of the following pairs of atoms or ions,...Ch. 5 - For each of the following pairs of atoms or ions,...Ch. 5 - Predict the larger ion in each of the following...Ch. 5 - Prob. 36PCh. 5 - The first ionization energy of helium is...Ch. 5 - The energy needed to remove one electron from a...Ch. 5 - Without consulting any tables, arrange the...Ch. 5 - Both the electron affinity and the ionization...Ch. 5 - The cesium atom has the lowest ionization energy,...Ch. 5 - Until recently, it was thought that Ca was...Ch. 5 - In the hydrogen atom, the transition from the 2p...Ch. 5 - The energy needed to ionize an atom of element X...Ch. 5 - Suppose an atom in an excited state can return to...Ch. 5 - For the Li atom, the energy difference between the...Ch. 5 - How does the 3dxy orbital of an electron in O7+...Ch. 5 - The wave function of an electron in the lowest...Ch. 5 - An atom of sodium has the electron configuration...Ch. 5 - (a) The nitrogen atom has one electron in each of...Ch. 5 - Chromium(IV) oxide is used in making magnetic...Ch. 5 - Prob. 52APCh. 5 - Arrange the following seven atoms or ions in order...Ch. 5 - Which is higher, the third ionization energy of...Ch. 5 - The outermost electron in an alkali-metal atom is...Ch. 5 - In two-photon ionization spectroscopy, the...Ch. 5 - For the H atom, the transition from the 2p state...Ch. 5 - (a) Give the complete electron configuration...Ch. 5 - What experimental evidence does the periodic table...
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