List all the wave functions for the 3p level of hydrogen. Identify the wave functions by their quantum numbers.
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List all the wave functions for the 3p level of hydrogen. Identify the wave functions by their quantum numbers.
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- ImageProblem 2. Calculate the wavelength of light emitted in the 2P/2 1S/2 transition of the real hydrogen atom (in- cluding the fine structure correction). The values of the quantum numbers n, I and j follow from the spectroscopic notation nL, and the letters S, P,D and F corresponds to l = 0, 1,2, 3 respectively. Spin value is always 1/2 for the hydrogen atom. Express your answer in Angstroms.Consider the Bloch sphere for a single qubit. What is the state represented by the Bloch vector (-1,0,0)? (12+) - i|z_)) a. b. |z_) c. (z+) d. • e. (12+)+ 12-)) (12+) - 12-))
- Explain in detailQUESTION 2 a. i. State Laue condition. Refer to Fig.2. Draw a complete vector diagram to show the Laue condition for the given Bragg's plane (Lattice plane). Draw all the related vectors and show the origin of reciprocal lattice and valid reciprocal lattices. Based on the diagram determine the magnitude of vector G in term of magnitude of vector T. (21/2m) Lattice plane (hkl) Incident wave vector Ко Atom Atom Figure 2Taking the n=3 states as a representative example, explain the relationship between the complexity of hydrogen’s standing waves in the radial direction and their complexity in the angular direction at a given value of n. What relationship would this be considered a direct relationship or inverse relationship?
- Consider a particle in a 2-D box having Lx = 10 nm and Ly = 10 nm. a) Make a surface plot of all the wave functions for the first and second energy levels. b) What is the degeneracy of the second energy level? Compare and contrast the wave functions of the second energy level. c) How does the number of nodes in the x-coordinate change as n increases? How does the number of nodes in the y-coordinate change as n, increases? d) Explain whether or not those same states would be degenerate if Lx = 10 nm and Ly = 15 nm.Consider a hydrogen-like atom such as He+ or Li++ that has a single electron outside a nucleus of charge Ze. (a) Rewrite the Schrödinger equation with the new Coulomb potential. (b) What change does this new potential have on the separation of variables? (c) Will the radial wave functions be affected? Explain. (d) Will the spherical harmonics be affected? Explain.Ql: Compute the radiation frequency obtained from electron transition between two energy states (E4 and El), if you know E. for carbon atom about -8 eV. Then Compute the energy separation of this transition. Finally compute the wavelength separation AA. It is allowed to use the hydrogen atom constants.