I cannot find the equation for this graph.

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SUMMARY

The discussion centers around finding an equation for a specific graph related to physics or physical chemistry. A participant suggests using a polynomial function fit, specifically a third or fourth degree polynomial, to approximate the graph's shape. The Morse potential is identified as a relevant model, with the equation f(x)=e-2x+2-2e-x+1 provided as a fitting function. This approach requires basic Linear Algebra skills to determine the function from the graph's data points.

PREREQUISITES
  • Understanding of polynomial functions and their degrees
  • Basic Linear Algebra skills
  • Familiarity with Morse potential in physics
  • Knowledge of graph interpretation and data fitting techniques
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  • Research polynomial regression techniques for data fitting
  • Study the Morse potential and its applications in physical chemistry
  • Learn about graphing tools and software for visualizing data
  • Explore advanced fitting techniques, such as spline interpolation
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Students and professionals in physics, physical chemistry, data analysts, and anyone involved in modeling and fitting mathematical functions to experimental data.

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I need it for a program I am writing. I found it all over the net but never with an equation. After two days I'm giving up and hoping someone recognizes it. It doesn't have to be exact I can fix it up but the profile needs to be the same.

Here it is:
 

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That shape looks familiar, but not sure from what exactly. Physics or physical chemistry?

If you just want a function that fits the graph but you don't really know the mechanism making the shape, try polynomial function fit. Maybe third or fourth degree polynomial can give a good fit. Your graph shows fairly easily readable points. You'll only need the simplest of Linear Algebra skills to determine the function.
 
Got it--Morse potential.

http://en.wikipedia.org/wiki/Morse_potential

f(x)=e-2x+2-2e-x+1

That shape looks familiar, but not sure from what exactly. Physics or physical chemistry?
Used to model nucleon-nucleon interactions.
 

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