Potential Energy of Ions in a Molecular Structure

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SUMMARY

The discussion centers on the equation for the total energy E between two ions in a molecular structure, defined as E = (-5.6/r) + 10e^(-r/3). The primary concerns include determining the domain of E, identifying valid values for r, and finding the relative maximum or minimum values of the potential energy on the interval (0, ∞). The participants express confusion regarding the interpretation of the domain and the implications of the equation, particularly in relation to the behavior of E as r approaches zero and infinity.

PREREQUISITES
  • Understanding of potential energy concepts in molecular physics
  • Familiarity with mathematical functions and their domains
  • Knowledge of calculus, specifically derivatives for finding maxima and minima
  • Experience with exponential functions and their behavior
NEXT STEPS
  • Study how to determine the domain of functions in mathematical analysis
  • Learn about finding relative extrema using calculus techniques
  • Explore the behavior of exponential decay functions in physical contexts
  • Investigate potential energy calculations in ionic interactions
USEFUL FOR

This discussion is beneficial for physics students, researchers in molecular chemistry, and anyone involved in studying ionic interactions and potential energy calculations.

hy
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okay here's the equation:
In a certain molecular structure, the total energy E between two ions is given by

E= (-5.6/r) + 10e^(-r/3)
where r is the distance seperating the nuclei.


now i already sketched the graph but i don't know how to find the domain of E, or find values of r that make sense in the problem situation, or find the realative maximum or minimum values or the total potential energy on the interval (0, ∞) . the y in that interval is supposed to be infinite in case you can't tell what it is.

i tried to just look on the table but y never equals zero on there so I am lost. then i tried to just stick in zero for y on the equation. i got stuck .
 
Last edited:
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you gave the equation, but what's the question that goes with it?
 
Do you know what "domain" means. And, as kreil asked, what was the question?
 

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