How to find electromagnetic force between nucleus and electron?

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SUMMARY

The discussion focuses on calculating the electromagnetic force binding a free electron in graphene to its nucleus. The primary method suggested is using Coulomb's law, but participants emphasize the complexity of the task, noting that the ionization energy of graphene is approximately 4.5 eV. To determine the necessary electric field to ionize the electron, a quantum mechanical approach is required, considering the interactions of other electrons and the applied field.

PREREQUISITES
  • Understanding of Coulomb's law and its limitations in complex systems
  • Knowledge of ionization energy and work function, specifically for graphene
  • Familiarity with quantum mechanics and its application to atomic structures
  • Basic concepts of electric fields and their interaction with charged particles
NEXT STEPS
  • Research "graphene ionization energy" to understand energy requirements for electron removal
  • Study "graphene work function" to learn about energy barriers in electron detachment
  • Explore quantum mechanical models of atoms to grasp electron interactions in fields
  • Investigate methods for calculating electric fields required for ionization
USEFUL FOR

Engineering students, physicists, and researchers interested in the properties of graphene and the behavior of electrons in electric fields.

Rakib771
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Hello, I'm new here and honestly I'm not a physics student. I'm studying engineering and so, understand little of physics. I am trying to find the bond force of graphene's free electron. That means, the electromagnetic force by which the electron is bound to the nucleus. I can only calculate it using Coulomb's law but I suppose that wouldn't be correct in this case. So, any help is appreciated.

PS: Another way of simplifying it would be, "How much static electric field is required to detach the electron?"
 
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That's not something you can calculate simply.

You can try to google "graphene ionization energy" or "graphene work function" to find how much energy is needed to remove an electron from graphene (it turns ou to be around 4.5 eV).
 
DrClaude said:
That's not something you can calculate simply.

You can try to google "graphene ionization energy" or "graphene work function" to find how much energy is needed to remove an electron from graphene (it turns ou to be around 4.5 eV).
Thanks, for the reply. But that is not what I'm trying to find. I'm trying to find the necessary electric field (or potential) to ionize the electron.
 
Rakib771 said:
. But that is not what I'm trying to find.

it is

Rakib771 said:
I'm trying to find the necessary electric field (or potential) to ionize the electron.
you don't ionise the electron, you ionise that atom, by adding/removing energy, to cause it to loose (or gain) the electron(s)

in the case of your graphene, it's 4.5 eVhttps://en.wikipedia.org/wiki/Ioniz...ich,charged atom or molecule is called an ion.
 
eV is a unit of energy, not voltage. Or field.

An order of magnitude estimate is the electron charge divided by the Bohr radius. In real life, an answer is not simple:
  1. This requires a quantum mechanical description of the atom
  2. This requires a quantum mechanical description of the electric field
  3. The other electrons in the atom move in response to the applied field, changing the overall electric field
 

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