1. The hydrogenic formalism also applies to the helium ion, there is a Z dependence for the energy, wave functions and characteristic radii. Show that the wave function for the state n = 2, /= 0, m = 0 function: Zr Zr №2,0,0 = €2,0,0 (1 - Z)exp(-Z) 2ao еxр is a solution to the SE for the hydrogen atom (nucleus of charge Z). Determine the normalisation constant C200, the energy and expectation value for the radius. Determine the expectation value for the radius for the n = 2, /= 1, m = 0 function. Zr Z3 Z 2,1,0 cos exp 32παρ απ (- 2ao Helpful Information: E = mz2e4 2h² (4πEO)²n² xne-x/bdx = n!bn+1

1. The hydrogenic formalism also applies to the helium ion, there is a Z dependence for the energy, wave functions and characteristic radii. Show that the wave function for the state n = 2, /= 0, m = 0 function: Zr Zr №2,0,0 = €2,0,0 (1 - Z)exp(-Z) 2ao еxр is a solution to the SE for the hydrogen atom (nucleus of charge Z). Determine the normalisation constant C200, the energy and expectation value for the radius. Determine the expectation value for the radius for the n = 2, /= 1, m = 0 function. Zr Z3 Z 2,1,0 cos exp 32παρ απ (- 2ao Helpful Information: E = mz2e4 2h² (4πEO)²n² xne-x/bdx = n!bn+1