Correlation of Electron Work Function and Surface-Atomic Structure of Some d Transition Metals

Mathematical modelling of the work function distribution on a monocrystalline cathode surface

“…The figure shows that even for well-studied tungsten the number of presented crystal faces in natural experiments is small. This makes the regression Surma model [6] very important in terms of dependence Φ = Φ(h, k, l). To be able to use the formula (4), according to the experimental results, the main source of which are references [3], [4], [5], the database was created.…”

“…Here we have a complex quantum mechanical problem. However, this dependence for metals can be found on the basis of regression analysis methods [6]. The value of Φ is strongly correlated with the specially selected crystal lattice parameter -∆t:…”

“…Red points indicates outliers (8 of 128), after the elimination of which the model was finally approved at the confidence level of 0.05. Black points are averaged data from the [6]. In the legend to the figure are shown the coefficients of determination and correlation, estimates of the regression model parameters, the F-test value and the confidence intervals.…”

The relationship between the electron work function and friction behavior of passive alloys under different conditions

“…5(a) -schematic illustration). In this case, the material having a higher EWF should have a larger adhesive force, since the atomic bond energy is proportional to ϕ 6 [17][18][19] and a larger atomic bond energy results in a higher surface energy (for surfaces having the same broken-bond density) [1,15,20]. The EWFs of both stainless steel samples are higher than that of Ti1, thus their larger frictional coefficients are expected.…”

“…Such relation is also true for grain boundaries, where the work function is lower with stronger adhesion. However, the conclusion of higher EWF corresponding to lower surface energy and thus lower adhesion is contradictory to some experimental observations [13][14][15][16] including the observations reported in this article. The discrepancy * Corresponding author.…”