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2A. The radial wavefunction, R(r), for the 2s orbital of a hydrogenic ion/atom is: 3/2 R(r) = = C c(%) (2-pe-p12 where C is a

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2A. The radial wavefunction, R(r), for the 2s orbital of a hydrogenic ion/atom is: 3/2 R(r) = = C c(%)" (2-pe-p12 where C is a constant, Z is the atomic number, p = 2Zr/(na), r is the distance from the nucleus, n denotes the principal quantum number and ao = 5.29 x 10-11 m. (a) Determine the value(s) of r corresponding to the radial node(s) for Het. (3 marks) (b) Write the Radial Distribution Function for the 2s orbital. (1 mark) (c) Sketch the 2s radial wavefunction and the corresponding Radial Distribution Function. (2 marks) (d) Calculate the location(s) of the radial node(s) for Li2+ and the hydrogen atom. (2 marks) (e) Without deriving the formula, explain how the position with the highest electron density can be calculated for the 2s orbital. (2 marks)

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