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Consider a helium ion He+. a) Find the ratio between the ionization energy of the H...

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Chemistry

Consider a helium ion He+.

a) Find the ratio between the ionization energy of the H atomand and the He^+ ion.

b) How does the Bohr radius, we defined for H atom, differ forHe^+ ? Using the Bohr radius of He^+ and the representation of theground state wave function for the H atom, write the ground statewave function for the He^+.

c) Find the average distance of a 1s electron from a nucleus inHe+ ion. How does it compare with the Bohr radius you found in (b)for H atom and He^+ ion?

d) Find the most probable value of r characterizing the distancebetween a 1s electron and the nucleus in the He^+ ion. Compare youranswer with (c) and discuss a physical meaning of obtainedresults.

e) Find the average distance of 2pz electrons from a nucleus inHe+ ion. Compare your results with those for a 1s electron in (c).Are you surprised by the answer?

f) How your answer in (e) would be different, if you find theaverage distance of 2px electrons, instead of pz?

Answer & Explanation Solved by verified expert
4.0 Ratings (607 Votes)
a Ionizatin energy is the energy rewuired to remove anelectroncompletely from the outermost orbitHence the electron will go fromn1 1 to n2    See Answer
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