If the minimum angle between the total angular momentum vector and the z axis is 32.3° (in a singleelectron atom), what is the total angular momentum quantum number?
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If the minimum angle between the total
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- ground state wave function of Hydrogen (with l=m=0), calculate the electron’s average distance from the proton in terms of the Bohr radius, a ∼0.5 ×10−10m.Calculate the magnitude of the total angular momentum for an electron in a 4d5/2 state.An electron occupying the n = 6 shell of an atom carries z-component orbital angular momentum = (–2) × h/2π. Given that the electron’s total orbital angular momentum is x × h/2π, what is the minimum possible value of number x(remember to use the scientific notation)?
- Clearly explain why the quantum oscillator is a good model for representing molecular vibrations.Suppose an electron has magnetic quantum number ml = 1. What constraints are on the values of the other quantum numbers (orbital l and principal n) for an electron in an atom? n > l ≥ 1 l ≥ n ≥ 1 l ≤ 1, n ≤ 2 l ≤ 2, n ≤ 1 There are no constraints.For a ground state Cd atom (Z = 48), how many electrons in total have an angular quantum number ℓ = 0 ?
- How many sets of quantum numbers are possible for a hydrogen atom for which (a) n = 1, (b) n = 2, (c) n = 3, (d) n = 4, and (e) n = 5?In a particular state of the hydrogen atom, the angle between the angular momentum vector L →and the z-axis is u = 26.6°. If this is the smallest angle for this particular value of the orbital quantum number l, what is l?