How to calculate thermionic work function

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nuby
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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?