Radial Nodes of an Orbital: Probability of Electrons

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Discussion Overview

The discussion revolves around the concept of radial nodes in atomic orbitals, specifically focusing on the probability of finding electrons in these nodes. Participants explore the implications of radial nodes on the probability distributions of electrons in different orbitals.

Discussion Character

  • Conceptual clarification, Debate/contested

Main Points Raised

  • One participant questions whether the probability of finding an electron from a different orbital (e.g., 2px) in the radial node of a 3px orbital is zero, or if it is only the probability of the 3px electron that is zero.
  • Another participant states that the total probability of finding an electron is the sum of all individual probabilities, seeking clarification on whether this means the total probability is zero or only the probability for that specific orbital is zero in the node.
  • Further, a participant poses a mathematical analogy regarding the summation of zero and a non-zero value, questioning if the result is zero or something different from zero.
  • The same mathematical analogy is reiterated by another participant, indicating a focus on understanding the implications of summing probabilities.

Areas of Agreement / Disagreement

Participants do not reach a consensus, as there are competing views regarding the nature of probabilities in radial nodes and the implications of summing probabilities.

Contextual Notes

The discussion highlights uncertainties regarding the definitions of probabilities in quantum mechanics and the assumptions underlying the interpretation of radial nodes.

Tahmeed
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In a radial node of an orbital, say of 3px orbital, is the probability for finding the 3px electron there is 0 but an electron of another orbital, say 2px, can be found there, OR the chance of finding electron of any orbital in a node of a certain orbital is 0?
 
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Total probability of finding an electron is a sum of all individual probabilities. Does it help?
 
Borek said:
Total probability of finding an electron is a sum of all individual probabilities. Does it help?

So the total probability is 0 or only the probability of that orbital is 0 in a node?
 
If you sum zero and something that is not zero, do you get zero, or something different from zero?

In other words: 1+0 is 0, or 1?
 
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Likes   Reactions: Tahmeed
Borek said:
If you sum zero and something that is not zero, do you get zero, or something different from zero?

In other words: 1+0 is 0, or 1?
Got it.. thanks
 

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