Angular dependence (atomic and molecular physics)

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Homework Help Overview

The discussion revolves around the angular probability distribution of the ground state of the hydrogen atom, specifically analyzing the spherical harmonic function Y00 and its implications for angular dependence.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the implications of the spherical harmonic function Y00, questioning how changes in angles θ or Φ affect the probability distribution. There is an attempt to articulate the nature of the distribution formally.

Discussion Status

Some participants suggest that the probability remains constant across different angles, indicating a uniform distribution. There is a search for precise terminology to describe this concept.

Contextual Notes

Participants express uncertainty about the formal expression of the probability distribution and seek clarification on terminology related to uniformity in angular probability.

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Homework Statement


> 'from the form of the spherical harmonic function Y00=1/(sqrt(4pi)), what
> can be said about the angular probability distribution of the ground state
> of the hydrogen atom?'


Homework Equations





The Attempt at a Solution


notes and textbook don't help
its prob something v obvious that i just don't get. i'd much appreciate it if someone can help please
 
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Put another way, how does the expression

1/(sqrt(4pi))​

change when either θ or Φ is changed?
 
it doesn't?so the probability of the function being at any angle is the same?how would i write that formally though,please?
so i'd say the probability distribution is...
is there a word i can put instead of the three dots to describe this?
 
"uniform"
 

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