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Allowed values for the quantum numbers of electrons are as follows: n = 1, 2, 3, ... l = 0, 1, 2, 3, ..., n - 1 ml = 0, ±1, ±2, ±3, ..., ±l ms = ±1/2 The relationships between n and the shell designations are noted in Table 2.1. Relative to the subshells, l = 0 corresponds to an s subshell l = 1 corresponds to a p subshell l = 2 corresponds to a d subshell l = 3 corresponds to an f subshell For the K shell, the four quantum numbers for each of the two electrons in the 1s state, in the order nlmlms are 100 (1/2) and 100 (-1/2). Write the four quantum numbers for all of the electrons in the L and M shells, and note which correspond to the s, p, and d subshells. Without consulting Figure 2.6 or Table 2.2, determine whether each of the electron configurations given below is an inert gas, a halogen, an alkali metal, an alkaline earth metal, or a transition metal. Justify your choices. (a) 1s²2s²2p⁶3s²3p⁶3d⁷4s² (b) 1s²2s²2p⁶3s²3p⁶ (c) 1s²2s²2p⁵ (d) 1s²2s²2p⁶3s² (e) 1s²2s²2p⁶3s²3p⁶3d²4s² (f) 1s²2s²2p⁶3s²3p⁶4s¹ 4. Calculate the bonding energy E₀ in terms of the parameters A, B, and n using the following procedure: I. Differentiate EN with respect to r, and then set the resulting expression equal to zero, because the curve of EN versus r is a minimum at E₀. II. Solve for r in terms of A, B, and n, which yields r₀, the equilibrium interionic spacing. III. Determine the expression for E₀ by substituting r₀ into the above equation.

          Allowed values for the quantum numbers of electrons are as follows:
n = 1, 2, 3, ...
l = 0, 1, 2, 3, ..., n - 1
ml = 0, ±1, ±2, ±3, ..., ±l
ms = ±1/2
The relationships between n and the shell designations are noted in Table 2.1. Relative to the subshells,
l = 0 corresponds to an s subshell
l = 1 corresponds to a p subshell
l = 2 corresponds to a d subshell
l = 3 corresponds to an f subshell
For the K shell, the four quantum numbers for each of the two electrons in the 1s state, in the order nlmlms are 100 (1/2) and 100 (-1/2). Write the four quantum numbers for all of the electrons in the L and M shells, and note which correspond to the s, p, and d subshells.
Without consulting Figure 2.6 or Table 2.2, determine whether each of the electron configurations given below is an inert gas, a halogen, an alkali metal, an alkaline earth metal, or a transition metal. Justify your choices.
(a) 1s²2s²2p⁶3s²3p⁶3d⁷4s²
(b) 1s²2s²2p⁶3s²3p⁶
(c) 1s²2s²2p⁵
(d) 1s²2s²2p⁶3s²
(e) 1s²2s²2p⁶3s²3p⁶3d²4s²
(f) 1s²2s²2p⁶3s²3p⁶4s¹

4. Calculate the bonding energy E₀ in terms of the parameters A, B, and n using the following procedure:
I. Differentiate EN with respect to r, and then set the resulting expression equal to zero, because the curve of EN versus r is a minimum at E₀.
II. Solve for r in terms of A, B, and n, which yields r₀, the equilibrium interionic spacing.
III. Determine the expression for E₀ by substituting r₀ into the above equation.

Added by Devin B.

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