Questions 1 and 2 are based on the following information. The normalized wave function of a hydogen-like atom is given by une (r,0,0) = Rne(r)Y (0,0), where Rne(r) is the radial component of the wave function, defined as (n-l-1)! (2Z 3/2 2n[(n+1)!]³ nao e Question 1 For the 4p state, construct p/2 p² [²+1 (p), 20+1 'n+l Rne(r) with ao being the Bohr radius, p=2Zr/nao, the transformed distance from the nucleus, Z, the atomic number, and L2+(p) are modified Laguerre polynomials. Back to equation (1), Ym (0,0) are spherical harmonics, which represent the angular part of the wave function (r,0,0), with l
Questions 1 and 2 are based on the following information. The normalized wave function of a hydogen-like atom is given by une (r,0,0) = Rne(r)Y (0,0), where Rne(r) is the radial component of the wave function, defined as (n-l-1)! (2Z 3/2 2n[(n+1)!]³ nao e Question 1 For the 4p state, construct p/2 p² [²+1 (p), 20+1 'n+l Rne(r) with ao being the Bohr radius, p=2Zr/nao, the transformed distance from the nucleus, Z, the atomic number, and L2+(p) are modified Laguerre polynomials. Back to equation (1), Ym (0,0) are spherical harmonics, which represent the angular part of the wave function (r,0,0), with l
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