Work function: Difference between revisions

Revision as of 21:50, 29 November 2021

Revision as of 14:56, 13 December 2021

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=== 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 Rahemi et al. <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 display="inline">\varphi(T)=\varphi_0-\gamma\frac{(k_BTk_\text{B}T)^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 ==