Highly excited atoms have electrons with large principal quantum numbers. Such Rydberg atoms have unique properties and are of interest to astrophysicists. (a) For hydrogen atoms with large n, derive a relation for the separation of energy levels. (b) Calculate this separation for n = 100; also calculate the average radius (see the preceding activity), and the ionization energy. (c) Could a thermal collision with another hydrogen atom ionize this Rydberg atom? (d) What minimum velocity of the second atom is required? (e) Sketch the likely form of the radial wavefunction for a 100s orbital.
Highly excited atoms have electrons with large principal quantum numbers. Such Rydberg atoms have unique properties and are of interest to astrophysicists. (a) For hydrogen atoms with large n, derive a relation for the separation of energy levels. (b) Calculate this separation for n = 100; also calculate the average radius (see the preceding activity), and the ionization energy. (c) Could a thermal collision with another hydrogen atom ionize this Rydberg atom? (d) What minimum velocity of the second atom is required? (e) Sketch the likely form of the radial wavefunction for a 100s orbital.
General Chemistry - Standalone book (MindTap Course List)
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Chapter7: Quantum Theory Of The Atom
Section: Chapter Questions
Problem 7.24QP: Investigating Energy Levels Consider the hypothetical atom X that has one electron like the H atom...
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Highly excited atoms have electrons with large principal quantum numbers. Such Rydberg atoms have unique properties and are of interest to astrophysicists. (a) For hydrogen atoms with large n, derive a relation for the separation of energy levels. (b) Calculate this separation for n = 100; also calculate the average radius (see the preceding activity), and the ionization energy. (c) Could a thermal collision with another hydrogen atom ionize this Rydberg atom? (d) What minimum velocity of the second atom is required? (e) Sketch the likely form of the radial wavefunction for a 100s orbital.
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