PHYSICS F/SCIEN.+ENGRS. W/SAPLING >IC<
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ISBN: 9781319336127
Author: Tipler
Publisher: MAC HIGHER
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Chapter 36, Problem 51P
To determine
The proof to show that how the orbital
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For hydrogen atoms in a d state, sketch the orbital angular momentum with respect to the z axis. Use units of U along the z axis and calculate the allowed angles of L with respect to the z axis.
Consider the n = 4 states of hydrogen. (a) What is the maximum magnitude L of the orbital angular momentum? (b) What is the maximum value of Lz? (c) What is the minimum angle between L S and the z-axis? Give your answers to parts (a) and (b) in terms of h.
For a hydrogen atom in the 6f state, what is the minimum angle between the orbital angular momentum vector and the z axis?
Chapter 36 Solutions
PHYSICS F/SCIEN.+ENGRS. W/SAPLING >IC<
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- How many distinct (n, l, ml) states of the hydrogen atom with n = 3 are there? What are their energies?arrow_forwardAn electron is in an angular momentum state with /= 3. (a) What is the length of the electron's angular momen- tum vector? (b) How many different possible z compo- nents can the angular momentum vector have? List the possible z components. (c) What are the values of the angle that the L vector makes with the z axis?arrow_forwardCalculate the value of <r> for the states of the hydrogen atom with n = 2 and l = 1, and for n = 2 and l = 0. Are the results surprising you? Explain your answer?arrow_forward
- For the hydrogen atom in the 4d excited state fi nd the possible values of n,ℓ,mℓ,ms, and mj. Give the term notation for each possible confi guration.arrow_forwardIn 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?arrow_forwardAn n = 2 shell (L shell) has a 2s state and two 2p states split by the spin-orbit interaction. Careful measurements of the Kα x-ray (n = 2 → Sn = 1) transition reveal only two spectral lines. Explain.arrow_forward
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