6 Consider a helium atom in a 1s3d electronic configuration. Sketch a series of energylevel diagrams which arise when one takes successively into account: (i) only the Coulomb attraction between each electron and the nucleus (ii) the electrostatic repulsion between the electrons (iii) spin-orbit coupling (iv) the effect of a weak external magnetic field. Label each level with the value of the relevant quantum number

6 Consider a helium atom in a 1s3d electronic configuration. Sketch a series of energylevel diagrams which arise when one takes successively into account: (i) only the Coulomb attraction between each electron and the nucleus (ii) the electrostatic repulsion between the electrons (iii) spin-orbit coupling (iv) the effect of a weak external magnetic field. Label each level with the value of the relevant quantum number

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The Balmer series for the hydrogen atom corresponds to electronic transitions that terminate in the state with quantum number n = 2 as shown in the figure below. Consider the photon of longest wavelength corresponding to a transition shown in the figure. E (eV) -0.378 -0.544 2 -0.850 4 T -1.512 Balmer series ENERGY (a) Determine its energy. 1.889 eV (b) Determine its wavelength. 657.7 nm 0.00 (d) Find its wavelength. nm -3.401 Consider the spectral line of shortest wavelength corresponding to a transition shown in the figure. (c) Find its photon energy. ev (e) What is the shortest possible wavelength in the Balmer series? nm
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The Balmer series for the hydrogen atom corresponds to electronic transitions that terminate in the state with quantum number n = 2 as shown in the figure below. Consider the photon of longest wavelength corresponding to a transition shown in the figure. E (eV) 0.00 -0.544 2 -0.850 4 -1.512 2 --3.401 Balmer series (a) Determine its energy. ev (b) Determine its wavelength. nm Consider the spectral line of shortest wavelength corresponding to a transition shown in the figure. (Be sure to consider all values of n, not just those indicated by the arrows in the figure.) (c) Find its photon energy. ev (d) Find its wavelength. nm (e) What is the shortest possible wavelength in the Balmer series? nm ENERGY
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