How to calculate thermionic work function

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The thermionic work function can be approximated as half the ionization energy of an element, but calculating it precisely involves considering the effective surface dipole and its relation to Fermi energy. Hydrogen does have a work function, although it is typically low due to its simple atomic structure. For exact calculations, specific formulas or references, such as DOI: 10.1103/PhysRevB.68.195408, are recommended. The discussion emphasizes the complexity of determining the work function accurately. Understanding these factors is crucial for applications in thermionic emission.
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How do you calculate the thermionic work function of an element (hydrogen for example)?

I understand it is usually about 1/2 the ionization energy , but is there a formula to get the exact energy?

Can hydrogen even have a work function?

Thanks in advance.
 
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its related to the fermi energy more than the ionization energy, but the difficult part is the effective surface dipole

try this:

DOI: 10.1103/PhysRevB.68.195408
 
Thanks. Do you have a link for it?
 
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