work function of hydrogen

[gre]

How can you calculate the thermionic work function of hydrogen?

 

Thanks in advance.

[Kaeroll]

What data do you have available?

[gre]

No data, I'm just looking for the equation to figure it out. I just have: J = A*T^2 * e^(-W/kT)

where, J=current density, A=Richardson's contant,T=temp in kelvins, W=work function.

 

Edit: I meant A= Richardson's constant

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I've read the the thermionic work function is usually right around 1/2 the elements ionization energy.. But, I'm still looking for an equation and a definite answer ... Can anyone help?

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What is required for hydrogen to even have free electrons? I guess at a certain temperature and pressure ti becomes a metal in theory .. But what temperature and pressure this theorized to be?

Edited February 20, 2009 by gre

[Kaeroll]

I think you're studying this in a slightly different context to that which I am familiar with the term 'work function', so I'm not sure I can help.

 

I'm going to go out on a limb here and suggest rearranging your formula in terms of W and pump whatever numbers you have available into it?

 

Bulk samples can be ionised without them becoming metallic, e.g. in a mass spectrometer or a particle accelerator.

[gre]

Thanks, I tried that but the result looked wrong.. Maybe I was doing the math wrong. How could you solve for W in the above equation?

Edited March 4, 2009 by gre

[timo]

J = A*T^2 * e^(-W/kT) [math] \Rightarrow W = - kT \log \frac{ J}{AT^2}[/math], "log" meaning the natural logarithm (often written as "ln").

[gre]

Thanks Atheist.

 

I came up with 7.35 eV this time for ground state hydrogen.

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How would you solve for "T" in that equation?