The ground-state wave function of a hydrogen atom is: 1 where r is distance from the nucleus and a, is the Bohr radius (53 pm). Following the Born approximation, calculate the probability, i.e., Jw°dz, that the electron will be found somewhere within a small sphere of radius, ro, 1.2 pm centred on the nucleus.
The ground-state wave function of a hydrogen atom is: 1 where r is distance from the nucleus and a, is the Bohr radius (53 pm). Following the Born approximation, calculate the probability, i.e., Jw°dz, 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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![The ground-state wave function of a hydrogen atom is:
1
where r is distance from the nucleus and a, is the Bohr radius (53 pm). Following the Born
approximation, calculate the probability, i.e., |w?dz, that the electron will be found somewhere
within a small sphere of radius, ro, 1.2 pm centred on the nucleus.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4dc86bbc-2ec8-4b12-bfec-32681d151b9f%2F88bd3246-9c43-4c6d-b514-de4e5a884018%2Fgh87ajm_processed.png&w=3840&q=75)
Transcribed Image Text:The ground-state wave function of a hydrogen atom is:
1
where r is distance from the nucleus and a, is the Bohr radius (53 pm). Following the Born
approximation, calculate the probability, i.e., |w?dz, 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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