Work function: Difference between revisions

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The jellium model is only a partial explanation, as its predictions still show significant deviation from real work functions. More recent models have focused on including more accurate forms of [[electron exchange]] and correlation effects, as well as including the crystal face dependence (this requires the inclusion of the actual atomic lattice, something that is neglected in the jellium model).<ref name="venables"/><ref>{{cite book | isbn = 9780080536347 | title = Metal Surface Electron Physics | last1 = Kiejna | first1 = A. | last2 = Wojciechowski | first2 = K.F. | date = 1996 | publisher = [[Elsevier]] }}</ref>

=== Temperature dependence of the electron work function ===

The electron behavior in metals varies with temperature and is largely reflected by the electron work function. A theoretical model for predicting the temperature dependence of the electron work function, developed by Reza Rahemi and Dongyang Li <ref>{{cite journal|last1=Rahemi|first1=Reza|last2=Li|first2=Dongyang|title=Variation in electron work function with temperature and its effect on the Young's modulus of metals|journal=Scripta Materialia|date=April 2015|volume=99|issue=2015|pages=41–44|doi=10.1016/j.scriptamat.2014.11.022|arxiv=1503.08250}}</ref> explains the underlying mechanism and predicts this temperature dependence for various crystal structures via calculable and measurable parameters. In general, as the temperature increases, the EWF decreases via <math>\varphi(T)=\varphi_0-\gamma\frac{(k_BT)^2}{\varphi_0}</math> and <math>\gamma</math> is a calculable material property which is dependent on the crystal structure (for example, BCC, FCC). <math>\varphi_0</math> is the electron work function at T=0 and <math>\beta</math> is constant throughout the change.

==References==