Atomic Energy Levels: Calculating Hydrogen's 5 Lowest Levels

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SUMMARY

The discussion focuses on calculating the five lowest energy levels of the hydrogen atom using Bohr's model, specifically through the equation En = -2.178 × 10-18 J Z2/n2. Participants clarify that hydrogen possesses infinitely many energy levels, corresponding to principal quantum numbers n = 1, 2, 3, etc. The confusion arises from visual representations that typically depict only the lowest energy state. Additionally, the concept of ionization is introduced, indicating that while there are infinitely many energy levels, the atom can be excited to higher states without ionization.

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  • Understanding of Bohr's model of the atom
  • Familiarity with quantum numbers and energy levels
  • Basic knowledge of atomic structure and electron arrangement
  • Ability to interpret scientific equations related to energy
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  • Study the derivation of the Bohr model equations for hydrogen
  • Learn about quantum mechanics and its implications on atomic energy levels
  • Explore the concept of ionization energy and its significance in atomic physics
  • Investigate how external energy sources can excite electrons to higher energy states
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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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