Atomic Energy Levels: Calculating Hydrogen's 5 Lowest Levels

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Discussion Overview

The discussion revolves around calculating the five lowest energy levels of the hydrogen atom using Bohr's model. Participants explore the concept of energy levels in hydrogen, addressing confusion regarding the number of energy levels and the nature of electron arrangements.

Discussion Character

  • Homework-related
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant expresses confusion about the existence of five lowest energy levels, suggesting that hydrogen has only one energy level based on their understanding of electron arrangement.
  • Another participant clarifies that hydrogen has infinitely many energy levels corresponding to quantum numbers n=1, 2, 3, etc., challenging the initial assertion of a single energy level.
  • A later reply notes that while diagrams often depict hydrogen in its lowest-energy state, there are indeed infinitely many energy levels between this state and the ionization level.
  • One participant mentions that hydrogen eventually reaches an ionization level, implying a limit to the energy levels, but does not resolve the infinite nature of the lower levels.

Areas of Agreement / Disagreement

Participants do not reach a consensus; there is disagreement regarding the interpretation of energy levels in hydrogen, with some asserting the existence of infinitely many levels and others expressing confusion about the concept.

Contextual Notes

Some statements rely on assumptions about the nature of energy levels and electron arrangements, and there is a lack of clarity regarding the transition from bound states to ionization.

Jeebus
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Homework Statement



Calculate the five (5) lowest energy levels for the hydrogen atom using Bohr's model.

Homework Equations



E_{n}= -2\xime^4 Z^2/h^2 n^2[\tex]<br /> <br /> = -(2.178\times10^18 J)Z^2/n^2[\tex]&lt;br /&gt; &lt;br /&gt; &lt;h2&gt;The Attempt at a Solution&lt;/h2&gt;&lt;br /&gt; &lt;br /&gt; I get how to attempt it but how can there be 5 lowest energy levels when hydrogen has only one energy level. I&amp;#039;m puzzled.
 
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Jeebus said:

Homework Statement



Calculate the five (5) lowest energy levels for the hydrogen atom using Bohr's model.

Homework Equations



E_{n}= -2\xime^4 Z^2/h^2 n^2

= -(2.178\times10^18 J)Z^2/n^2

The Attempt at a Solution



I get how to attempt it but how can there be 5 lowest energy levels when hydrogen has only one energy level. I'm puzzled.

Hydrogen has infinitely many energy levels, corresponding to n=1,2,3,etc.

Why did you think there is only one level?
 
Electron arrangement of hydrogen and drawing it out basically only shows one ring.
Thinks that this is the only energy level.
Thats my guess, I got confused about that when I first started the topic.

P.S. Eventually has an ionisation level does it not? so not infinite energy levels.
 
Typically, you will see diagrams showing an atom in it's lowest-energy state. I am guessing this is the figure you have seen. However, there are in fact more energy levels -- infinitely many -- between this lowest energy and the ionization level.

Normally an atom will be in the lowest-energy state most of the time. But it is possible to excite the atom into the higher states (without ionizing it), for example by shining light of the appropriate wavelength at the atom.

EDIT: adding links
http://hyperphysics.phy-astr.gsu.edu/hbase/hyde.html#c2
http://www.bpreid.com/applets/hel.html
 

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