Inorganic Chemistry
Inorganic Chemistry
5th Edition
ISBN: 9781292134147
Author: Housecroft, Catherine E.
Publisher: Pearson,
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Chapter 1, Problem 20P

(a) Will a plot of R(r) for the 1s atomic orbital of He + be identical to that of the H atom (Fig. 1.5a)? [Hint: look at table 1.2.] (b) On the same axis set, sketch approximate representations of the function 4πr 2 R(r) 2 for H and He + .

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(a) The nitrogen atom has one electron in each of the 2px,2py and 2pz orbitals. By using the form of the angularwave functions, show that the total electron density,c2(2px) +c2(2py) +c2(2pz), is spherically symmetric(that is, it is independent of the angles u and f). Theneon atom, which has two electrons in each 2porbital, is also spherically symmetric.(b) The same result as in part (a) applies to d orbitals,thus a filled or half-filled subshell of d orbitals isspherically symmetric. Identify the spherically symmetric atoms or ions among the following: F=, Na, Si,S2-, Ar+, Ni, Cu, Mo, Rh, Sb, W, Au.
10. (a) Use the radial wave function for the 3p orbital of a hydrogen atom to calculate the value of r for which a node exists. (b) Find the values of r for which nodes exist for the 3s wave function of the hydrogen atom.
Q. 6a) Give the orbital box diagrams for the electron configurations of the following species. You may use noble gas shorthand. (i) Mns+ (ii) In³+ (iii) Mo+ Q. 6b) Show how you determine the maximum number of electrons in an atom that can have the following quantum numbers. (i) n = 4, m/ = +1 (ii) n = 5, m/= 0, ms = +½

Chapter 1 Solutions

Inorganic Chemistry

Ch. 1 - 1.11 How is the (a) energy and (b) size of an ns...Ch. 1 - 1.12 Write down a set of quantum numbers that...Ch. 1 - Do the three 4p atomic orbitals possess the same...Ch. 1 - How many radial nodes does each of the following...Ch. 1 - 1.15 Comment on the differences between plots of...Ch. 1 - 1.16 Write down the sets of quantum numbers that...Ch. 1 - Write down the three sets of quantum numbers that...Ch. 1 - How many atomic orbitals make up the set with n=4...Ch. 1 - Prob. 19PCh. 1 - (a) Will a plot of R(r) for the 1s atomic orbital...Ch. 1 - Prob. 21PCh. 1 - Prob. 22PCh. 1 - Write down the six sets of quantum numbers that...Ch. 1 - For a neutral atom, X, the following atomic...Ch. 1 - Using the concepts of shielding and penetration,...Ch. 1 - For each of the following atoms, write down a...Ch. 1 - 1.27 Draw energy level diagrams (see Fig. 1.15) to...Ch. 1 - 1.28 Write down the ground state electronic...Ch. 1 - Write down (with reasoning) the ground state...Ch. 1 - Draw energy level diagrams to show the ground...Ch. 1 - The ground state electronic configuration of a...Ch. 1 - (a) Write down an equation that defines the...Ch. 1 - 1.33 The first four ionization energies of an atom...Ch. 1 - 1.34 In Fig. 1.16, identify the trend in the first...Ch. 1 - 1.35 Figure 1.17 shows the values of for the...Ch. 1 - Using the data in Table 1.5, determine a value for...Ch. 1 - Prob. 37PCh. 1 - What is the evidence that the aufbau principle is...Ch. 1 - The first list in the table on the left contains...Ch. 1 - Prob. 40PCh. 1 - Using data from appendix 8, construct a graph to...Ch. 1 - The sign convention for electron affinity can...Ch. 1 - Prob. 43PCh. 1 - 1.45 Figure 1.18 shows the emission spectrum of...
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