Answered: 8. Consider a hydrogen atom with n = 2… | bartleby

Related questions

Question

8.. .
angular momentum quantum number, including the spin of the proton.
Consider a hydrogen atom with n = 2 and l = 1. What are the possible values of the total

Expert Solution

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

1. List all possible states of a hydrogen atom that have E=-1.51 eV.
2. Consider an electron in a hydrogen atom that is transitioning from the n = 2 to the n = 6 level.What is the wavelength (in nm) of the photon associated with this transition?
1. The two prominent yellow lines in the spectrum of sodium result from transitions to the ground state from the 3p state with the electron spin-up, and from the 3p state with the electron spin-down. The wavelengths these two lines are 589.0 nm and 589.6 nm. (a) Calculate the energies in eV of the photons corresponding to these wavelengths, and the difference in energy of these photons AE. (b) The energy difference you found in part (a) is due to the spin-orbit effect. An electron in the 3p state of sodium experiences an internal magnetic field B, due to the orbital angular momentum. For a magnetic field B₁, the spin-orbit energy splitting is AE = 2µBB₁, where B is the Bohr magneton. Find the orbital magnetic field By from the energy difference AE you found in part (a).
3. Suppose an electron in a hydrogen atom is in a 2p state, and the radial wavefunction is (2a.)3/2 /3a. 2ao , where a, is the Bohr radius. (a) 2-axis? What possible angles might the angular momentum vector L make with the (b) What is the most probable radius (in terms of a,) at which the electron is found? (c) What is the expectation value of r in this state? Note: xe-"dx = 120. (p) S° x*e-dx = 23.91. What is the probability of finding such an electron between a, and oo? Note:
5. Identify all the different total angular momentum states (j, m;) for an electron in the 4f state of a hydrogen atom.
2. Consider the states of hydrogen atom given by (n, l, m) where n a. What is the maximum value of l? If L² is measured what is the maximum possible value that can be obtained? b. What is the maximum value of L₂?
11. The Hamiltonian for an electron in a hydrogen atom subject to a constant magnetic field B is given by H = e2 p² 2me Απεργ e + (L+2S). B 2me where L and S are the angular momentum and spin operators respectivelyr. Assume the magnetic field points in the z-direction. (a) How many distinct energy levels will the n = : 3 state have? = = 3,1 = 2) → (n = 2,1 = 1). Find the energy of the (b) Consider the line corresponding to the transition (n emitted photons (hw AE, with AE = the energy difference between initial and final state), assuming the possible transitions are constrained by the selection rule Am = 0,±1.
1. Differentiate the three quantum numbers for an electron in the hydrogen atom and justify why the idea of an electron orbiting a proton has been abandoned.
10. If the ground state of an electron in a hydrogen-like atom has an energy of -x eV, which of the following is the energy of one of the excited states? A. -x/9 eV B. -x/2 eV C. -x/3 eV D. - -x/8 eV