Writing Energy Change in Calculus Notation

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Homework Help Overview

The discussion revolves around expressing an energy change equation in calculus notation. The equation presented involves a change in energy, denoted as [delta]E, and relates to energy levels in an atomic context, referencing Rydberg's constant.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • Participants are attempting to understand how to incorporate calculus notation, particularly derivatives, into the given equation. There is a sense of questioning whether the equation can be simplified or expressed differently using calculus concepts.

Discussion Status

Some participants have expressed a desire for clarification on how to represent the equation in a more complex form, suggesting that the current representation feels overly simplistic. There is an ongoing exploration of the relationship between changes in energy and energy levels.

Contextual Notes

Participants are considering the implications of the equation's simplicity and the potential need for additional calculus concepts, such as derivatives, to fully capture the changes described.

GreenPrint
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How do I write this in calculus notation?

[delta]E = (-2.178 x 10^(-18) J) / (n^2 - n_0^2)

were [delta] is the Greek letter delta used to represent change of
E = Energy
-2.178 x 10^(-18) J = Different form of Rydberg's constant
J is the unit for work Joules
n = energy level of an atom
n_0 = n naught, energy level at time T = 0

Thank you for the help!
 
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GreenPrint said:
How do I write this in calculus notation?

[delta]E = (-2.178 x 10^(-18) J) / (n^2 - n_0^2)

were [delta] is the Greek letter delta used to represent change of
E = Energy
-2.178 x 10^(-18) J = Different form of Rydberg's constant
J is the unit for work Joules
n = energy level of an atom
n_0 = n naught, energy level at time T = 0

Thank you for the help!

Click on the expression below to see how to render it in TeX, if that's what you are asking:

\Delta E =\frac{-2.718\cdot 10^{-18}}{n^2 - n_0^2}
 


I was actually just asking how to write in calculus notation with derivatives and such if they apply here as this equation just seems to simple if you know what I mean.
 


I just thought that the equation can be simplified by expressing it in calculus notation as it just seems way to simple and I'm seeing two changes, a change in energy and a change in energy levels within the equation so my initial thoughts were that it could rewritten...
 

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