I Why is the work function measured from the Fermi level?

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The work function is measured from the Fermi level because it represents the minimum energy required to extract an electron from the surface of a material, particularly in metals where electrons fill up to this level. While the Fermi level indicates a 50% probability of electron occupancy, the work function is fundamentally a surface property that can vary with surface conditions. In semiconductors, the work function differs from electron affinity due to energy band gaps, requiring an adjustment for the energy difference between the bottom of the conduction band and the Fermi level. The definition of the Fermi level is typically considered at absolute zero, raising questions about its application at higher temperatures. Understanding these distinctions is crucial for accurate measurements and theoretical modeling of work functions in different materials.
M.A.M.Abed
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why does work function measured from fermi level
while work function is defined by lowest energy required to remove an electron from surface of materials
and fermi level the level have 50% chance to occupation that's mean there is level above it have electron inside so why we don't measure from those levels
 
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M.A.M.Abed said:
why does work function measured from fermi level
while work function is defined by lowest energy required to remove an electron from surface of materials
and fermi level the level have 50% chance to occupation that's mean there is level above it have electron inside so why we don't measure from those levels
Since in metals electrons are filled up to the Fermi level, the minimum energy required to extract
an electron from a metal is assigned as its work function.

One cannot extract electrons from the bulk of a material without extracting it from its surface.
So, strictly speaking, work function is a surface property - it usually varies with the surface conditions of the same material.
For all practical purposes, work function can be taken as a bulk property
.
However if one looks up the same Work Function
for semiconductors, there are energy band gaps, and so electrons may not be coming out of the Fermi level.
There are some electrons available at the bottom of the conduction band,
so the photoelectric effect experiment gives a different quantity assigned as the electron affinity of the semiconductor.

Now if one calculates the work function, the energy difference between the bottom of the conduction band and the Fermi level must be added .
That is why the work functions of p- and n-type of the same semiconductor (say, Si) are different.
 
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drvrm said:
Since in metals electrons are filled up to the Fermi level, the minimum energy required to extract
an electron from a metal is assigned as its work function.

One cannot extract electrons from the bulk of a material without extracting it from its surface.
So, strictly speaking, work function is a surface property - it usually varies with the surface conditions of the same material.
For all practical purposes, work function can be taken as a bulk property
.
However if one looks up the same Work Function
for semiconductors, there are energy band gaps, and so electrons may not be coming out of the Fermi level.
There are some electrons available at the bottom of the conduction band,
so the photoelectric effect experiment gives a different quantity assigned as the electron affinity of the semiconductor.

Now if one calculates the work function, the energy difference between the bottom of the conduction band and the Fermi level must be added .
That is why the work functions of p- and n-type of the same semiconductor (say, Si) are different.
1st Thnx in advance
2nd in semi conductor dose you mean the work function will equal to electron affinity + between the bottom of the conduction band and the Fermi level ?
3rd the definition of Fermi level is only at 0 temperature other temperatures is 50% probability level for occupation does this mean work function definition WF=-e*vacuum potential-E(fermi) is theoretical definition at 0 Kelvin ??
 
M.A.M.Abed said:
1st Thnx in advance
2nd in semi conductor dose you mean the work function will equal to electron affinity + between the bottom of the conduction band and the Fermi level ?
3rd the definition of Fermi level is only at 0 temperature other temperatures is 50% probability level for occupation does this mean work function definition WF=-e*vacuum potential-E(fermi) is theoretical definition at 0 Kelvin ??

basically i am a theory person in nuclear theory but i have seen some papers dealing with measurement of work function esp. in semiconductors as there is a large variation with theoretical models -i can give you some references shortly as i get some time ...
 
A relative asked me about the following article: Experimental observation of a time rondeau crystal https://www.nature.com/articles/s41567-025-03028-y I pointed my relative to following article: Scientists Discovered a Time Crystal That Reveals a New Way to Order Time https://www.yahoo.com/news/articles/scientists-discovered-time-crystal-reveals-180055389.html This area is outside of my regular experience. I'm interested in radiation effects in polycrystalline material, i.e., grain...

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