Field Electron Emission: How Much Charge Can You Remove From a Sphere?

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In an electrically isolated metal sphere within a vacuum, continuous addition of negative charge leads to discharge via field electron emission, influenced by the material's work function. Conversely, removing negative charge results in positive charge accumulation on the sphere's surface, with a significant capacity for charge removal before ion shedding occurs. The ions, which are part of the metal lattice, are held by stronger forces compared to the more mobile electrons. The balance between ionic (Coulomb) forces and Van der Waals/London forces determines the threshold for ion expulsion. Understanding these interactions is crucial for applications involving charged metal spheres in vacuum environments.
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If you have a sphere of metal electrically isolated by a vacuum, and continuously add negative charge to it, the metal will eventually discharge due to field electron emission. This depends primarily on the work function.

Take the same situation as above, but continuously remove negative charge from the sphere. I know that the positive charge will accumulate on the outside of the metal sphere - how much negative charge can you remove before the skin of the sphere starts shedding?
 
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Probably a lot more, the positive charge are the ions of the metal atoms that are being held in the lattice. The electrons are the charges that are mobile and easily stripped off. To expell the ions you would probably have to compare the resulting ionic (Coulomb) forces with the Van der Waals/London forces that hold the metal lattice together.
 
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