Discussion: Hydrogen Atom NAME: 1. For each of the following states of a particle in a three-dimensional cubical box, at

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Discussion Hydrogen Atom Name 1 For Each Of The Following States Of A Particle In A Three Dimensional Cubical Box At 1 (35.34 KiB) Viewed 56 times

Discussion: Hydrogen Atom NAME: 1. For each of the following states of a particle in a three-dimensional cubical box, at what points is the probability distribution function a maximum: (a) ny = 1, ny = 1, Nz = 1 and (b) ny = 2, ny = 2, Nz = 1. 2. What is the energy difference between the two lowest energy levels for a proton in a cubical box with side length 1.00 x 10-14 m, the approximate diameter of a nucleus? 3. The orbital angular momentum of an electron has a magnitude of 4.716 x 10-34 kg. m/s. What is the angular momentum quantum number I for this electron? 4. A hydrogen atom is in a state that has L, = 2h. In the semiclassical vector model, the angular momentum vector L for this state makes an angle 02 = 63.4° with the +z-axis. (a) What is the quantum number 1 for this state? (b) What is the smallest possible quantum number n for this state?