The ground-state wave function of a hydrogen atom is: e (ra') where r is distance from the nucleus and ao is the Bohr radius (53 pm). Following the Born approximation, calculate the probability, i e lwi?dt that the electron will be found somewhere

The ground-state wave function of a hydrogen atom is: e (ra') where r is distance from the nucleus and ao is the Bohr radius (53 pm). Following the Born approximation, calculate the probability, i e lwi?dt that the electron will be found somewhere

Chemistry

9th Edition

ISBN:9781133611097

Author:Steven S. Zumdahl

Publisher:Steven S. Zumdahl

Chapter7: Atomic Structure And Periodicity

Section: Chapter Questions

Problem 66E: Consider an electron for a hydrogen atom in an excited state. The maximum wavelength of...

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Concept explainers

Atomic Structure

The basic structure of an atom is defined as the component-level of atomic structure of an atom. Precisely speaking an atom consists of three major subatomic particles which are protons, neutrons, and electrons. Many theories have been stated for explaining the structure of an atom.

Shape of the D Orbital

Shapes of orbitals are an approximate representation of boundaries in space for finding electrons occupied in that respective orbital. D orbitals are known to have a clover leaf shape or dumbbell inside where electrons can be found.

Question

3. The ground-state wave function of a hydrogen atom is:
1
e
(raž)
3 /2
where r is distance from the nucleus and ao is the Bohr radius (53 pm). Following the Born
approximation, calculate the probability, i.e., lW²dt, that the electron will be found somewhere
within a small sphere of radius, ro, 1.2 pm centred on the nucleus.

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