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28 lines
813 B
Plaintext
28 lines
813 B
Plaintext
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Homework 13, due Oct 10
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1) Use the simple form of the NIST transition probabilities for H I. What is the transition probability for Lyman alpha? Lyman gamma?
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Just reading Aₖᵢ values from the table.
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6.27×10⁸ s⁻¹
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1.278×10⁷ s⁻¹
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2) What is the transition probability for Balmer alpha? Balmer beta?
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4.410×10⁷ s⁻¹
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8.419×10⁶ s⁻¹
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3) What is the lifetime for the n=2 and n=4 levels of hydrogen?
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This is the inverse of the sum ∑ₗAᵤ﹐ₗ where l = {1..u}.
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n=2:
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Lifetime T = (∑ₗA₂﹐ₗ)⁻¹
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= (6.27×10⁸ s⁻¹)⁻¹
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= 1.60×10⁻⁹ s.
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n=4:
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T = (∑ₗA₄﹐ₗ)⁻¹
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= (1.278×10⁷ s⁻¹ + 8.419×10⁶ s⁻¹ + 8.986×10⁶ s⁻¹)⁻¹
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= 3.313×10⁻⁸ s.
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