Homework 13, due Oct 10
1) Use the simple form of the NIST transition probabilities for H I. What is the transition probability for Lyman alpha? Lyman gamma?

    Just reading Aₖᵢ values from the table.

    6.27×10⁸ s⁻¹
    1.278×10⁷ s⁻¹


2) What is the transition probability for Balmer alpha? Balmer beta?

    4.410×10⁷ s⁻¹
    8.419×10⁶ s⁻¹

3) What is the lifetime for the n=2 and n=4 levels of hydrogen?

    This is the inverse of the sum ∑ₗAᵤ﹐ₗ where l = {1..u}.

    n=2:

        Lifetime T = (∑ₗA₂﹐ₗ)⁻¹ 
                   = (6.27×10⁸ s⁻¹)⁻¹
                   = 1.60×10⁻⁹ s.

    n=4:
        T = (∑ₗA₄﹐ₗ)⁻¹
          = (1.278×10⁷ s⁻¹ + 8.419×10⁶ s⁻¹ + 8.986×10⁶ s⁻¹)⁻¹
          = 3.313×10⁻⁸ s.