Chapter%201%20EVEN%20Assigned%204e

Chapter%201%20EVEN%20Assigned%204e - CHAPTER 1 ATOMS: THE...

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44 CHAPTER 1 ATOMS: THE QUANTUM WORLD 1.30 (a) The Rydberg equation gives v when 15 1 3.29 10 s ℜ= × , from which one can calculate λ from the relationship . = cv 22 21 81 1 5 1 8 11 and 2.997 92 10 m s 2.997 92 10 m s (3.29 10 s ) 12 5 9.49 10 m 94.9 nm −− ⎛⎞ =ℜ ⎜⎟ ⎝⎠ == × ×⋅ = × = v nn c (b) Lyman series (c) This absorption lies in the ultraviolet region. 1.48 (a) 5: l = 0, 1, 2, 3, 4; (b) 5 s , 5 p , 5 d , 5 f , 5 g ; (c) 1 + 3 + 5 + 7 + 9 = 25 orbitals 1.50 (a) 6 values: 0, 1, 2, 3, 4, 5; (b) 7 values: 3, 2, 1, 0, 1, 2, 3; (c) 1 value: 0; (d) 3 subshells: 3 s , 3 p , and 3 d 1.52 (a) n = 2; l = 0; (b) n = 6; l = 3; (c) n = 4; l = 2; (d) n = 5; l = 1 1.64 (a) The total Coulomb potential energy V( r ) is the sum of the individual coulombic attractions and repulsions. There will be one attraction between the nucleus and each electron plus a repulsive term to represent the interaction between each pair of electrons. For beryllium, there are four protons in the nucleus and four electrons. Each attractive force will be equal to
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45 22 00 0 () (4 ) 4 44 π επ ε −+ == eeee rr r where e
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Chapter%201%20EVEN%20Assigned%204e - CHAPTER 1 ATOMS: THE...

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