Inorganic Chemistry
5th Edition
ISBN: 9781292134147
Author: Housecroft, Catherine E.
Publisher: Pearson,
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Textbook Question
Chapter 1, Problem 20P
(a) Will a plot of R(r) for the 1s atomic orbital of
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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 - Chromium has four isotopes C2450r, C2452r, C2453r...Ch. 1 - Prob. 2PCh. 1 - Using the list of naturally occurring isotopes in...Ch. 1 - Hydrogen possesses three isotopes, but tritium ,...Ch. 1 - (a) By using the data in appendix 5, account for...Ch. 1 - Calculate the corresponding wavelength of...Ch. 1 - State which of the following n'n transitions in...Ch. 1 - Calculate the energy (in kJ per mole of photons)...Ch. 1 - 1.9 Four of the lines in Balmer series are at...Ch. 1 - 1.10 Using the Bohr model, determine the values of...
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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- • identify an orbital (as 1s, 3p, etc.) from its quantum numbers, or vice versa.arrow_forward(a) Use the radial wave function for the 3p orbital of a hydrogen atom (see Table 5.2) 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.arrow_forwardWhat are quantum numbers? What information do we get from the quantum numbers n, l, and ml? We define a spin quantum number (ms), but do we know that an electron literally spins?arrow_forward
- What experimental evidence supports the quantum theory of light? Explain the wave-particle duality of all matter .. For what size particles must one consider both the wave and the particle properties?arrow_forwardConsider burning ethane gas, C2H6 in oxygen (combustion) forming CO2 and water. (a) How much energy (in J) is produced in the combustion of one molecule of ethane? (b) What is the energy of a photon of ultraviolet light with a wavelength of 12.6 nm? (c) Compare your answers for (a) and (b).arrow_forward(a) Predict the ionization energy of Be3+ in its ground state given that the ionization energy of Li2+ in its ground state is 122.45 eV. Notice that the number of protons and neutrons in the nuclei of both Li and Be make their nuclear masses effectively infinite compared with the mass of the electron. (b) What is the ionization energy expressed in atomic units for a Li2+ ion in a 4p, electronic state?arrow_forward
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