102 lect25_handout - Physics 102 Lecture 25 Periodic Table...

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Physics 102: Lecture 25, Slide 1 Periodic Table, Atomic Structure Physics 102: Lecture 25
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Physics 102: Lecture 25, Slide 2 From last lecture – Bohr model () 24 2 2 22 2 13.6 eV where / 2 2 n mk e Z Z Eh nn π =− ≈− h h 2 2 1 0.0529 nm 2 n hn n r mke Z Z ⎛⎞ == ⎜⎟ ⎝⎠ L n = nh /2 π Angular momentum is quantized Energy is quantized Radius is quantized n = 1, 2, 3 . .. Linear momentum too Bohr model is incorrect!
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Physics 102: Lecture 25, Slide 3 Quantum Numbers Each electron in an atom is labeled by 4 #’s n = Principal Quantum Number (1, 2, 3, …) Determines energy (Bohr) m s = Spin Quantum Number (-½ , +½) “Up Spin” or “Down Spin” l = Orbital Quantum Number (0, 1, 2, … n-1) Determines angular momentum l < n always true! m l = Magnetic Quantum Number (- l , … 0, … l ) Component of l | m l | <= l always true! (1 ) 2 h L π =+ ll 2 z h Lm = l Note differences with Bohr model
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Physics 102: Lecture 25, Slide 4 ACT: Quantum numbers For which state of hydrogen is the orbital angular momentum required to be zero? 1. n=1 2. n=2 3. n=3
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Physics 102: Lecture 25, Slide 5 l =0 is “ s state l =1 is “ p state l =2 is “ d state l
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102 lect25_handout - Physics 102 Lecture 25 Periodic Table...

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