scholarly journals Анизотропия поверхностной энергии и работы выхода электрона IIВ металлов

2019 ◽  
Vol 89 (2) ◽  
pp. 306
Author(s):  
И.Г. Шебзухова ◽  
Л.П. Арефьева

AbstractOn the basis of electron-statistical method of calculation of the surface energy of metals, a technique for estimating the electron work function of hexagonal and rhombohedral metallic crystals has been developed. This technique relates surface energy to work function and can thus be applied to estimate the surface energy of crystal faces from experimental data for a work function. Computations have been made for cadmium, zinc, and mercury macrocrystals. The temperature and orientation dependences of both quantities have been constructed. Our results are in good agreement with literature experimental data.

Author(s):  
Ирина Гусейновна Шебзухова ◽  
Людмила Павловна Арефьева

На базе электронно-статистического метода показана связь и проведена оценка поверхностной энергии и работы выхода электрона граней кристаллов лития с учетом дисперсионного, поляризационного и осцилляционного взаимодействия атомов поверхностного слоя. Считалось, что кристаллическая решетка не имеет дефектов. Модифицированы выражения поправок и аналитического соотношения, связывающего работу выхода электрона и поверхностную энергию с учетом типа кристаллической решетки и ориентации граней. Рассчитана работа выхода электрона и поверхностная энергия гладких граней при предельных температурах существования полиморфных фаз лития. Установлено влияние полиморфных превращений и температуры на анизотропию. Температурный коэффициент работы выхода электрона бездефектного кристалла положителен и составляет порядка 0,1-1 мэВ. Результаты расчетов хорошо согласуются с экспериментальными данными для поликристаллов. On the basis of the electronic-statistical method, a relationship is obtained and the surface energy and the work function of the electron of the faces of lithium crystals are estimated, taking into account the dispersion, polarization, and oscillatory interactions of the atoms of the surface layer. It was assumed that the crystal lattice has no defects. The expressions for the corrections and an analytical relationship between the work function of the electron and the surface energy are modified taking into account the type of the crystal lattice and the orientation of the faces. The work function of the electron and the surface energy of smooth faces are calculated at the limiting temperatures of the existence of polymorphic lithium phases. The influence of polymorphic transformations and temperature on the anisotropy is established. The temperature coefficient of the work function of an electron in a defect-free crystal is positive and amounts to about 0,1-1 meV. The calculation results are in good agreement with the experimental data for polycrystals.


2019 ◽  
Vol 87 (1) ◽  
pp. 11301
Author(s):  
Jian Wang ◽  
Zhijun He ◽  
Jin Nie ◽  
Xiaoxiao Sun ◽  
Yu Han ◽  
...  

The surface energy and work function of rare-earth metals (from La to Lu) are studied by the first principles calculations. The obtained values are in good agreement with available experimental data. Motivated by enhanced thermionic emission performance resulting from low work function, we substitutionally doped the rare-earth atoms on W(110) surface to improve the work function. The results show that rare-earth atoms doping can significantly reduce the work function of the W(110) surface, and Eu, Pr and Nd are the three best candidates for work function reduction.


2018 ◽  
Vol 51 (6) ◽  
pp. 1715-1720 ◽  
Author(s):  
Liqiu Guo ◽  
Hao Lu ◽  
D. Y. Li ◽  
Q. X. Huang ◽  
Xu Wang ◽  
...  

The crystallographic anisotropy of the electric current or conductance, adhesive force, elastic modulus, and deformation magnitude of alpha brass were investigated through property mapping using an atomic force microscope. Surface electron work functions of differently oriented grains in the brass were also analyzed using atomic force microscopy. The mapped surface properties are closely related to the electron work function; the work function reflects the surface activity, which is itself dependent on the surface energy. The anisotropy of the properties is closely correlated to the in situ measured surface electron work function. It is demonstrated that crystallographic planes with higher electron work functions exhibit lower current, smaller adhesive forces, larger elastic moduli and smaller deformation magnitudes. Efforts are made to understand the relationships by connecting the properties with surface energy and electron work function. The dependence of the properties on crystallographic orientation can be elucidated by considering the surface electron behavior using electron work function as a novel probing parameter.


Author(s):  
Ирина Гусейновна Шебзухова ◽  
Людмила Павловна Арефьева

На базе электронно-статистического метода получены выражения и рассчитаны дисперсионная и поляризационная поправки к поверхностной энергии граней кристаллов IA металлов на границе с вакуумом. Обе поправки сильно анизотропны. Дисперсионная поправка увеличивает величину поверхностной энергии граней (от 3 до 23 %), поляризационная - снижает менее, чем на 1%. Учет данных взаимодействий улучшает согласие результатов расчета поверхностной энергии с экспериментальными данными расплавов. On the basis of the electronic statistical method, expressions for the dispersion and polarization corrections to the surface energy of the crystal faces 1A of metals at the boundary with vacuum are obtained and their value are calculated. Both corrections are highly anisotropic. The dispersion correction increases the surface energies of the faces (from 3 to 23 %), the polarization correction reduces them by less than 1%. Taking into account these interactions improves the agreement between the calculated surface energy and the experimental data of the melts.


2002 ◽  
Vol 28 (6) ◽  
pp. 515-516 ◽  
Author(s):  
V. Z. Kanchukoev ◽  
A. Z. Kashezhev ◽  
A. Kh. Mambetov ◽  
V. A. Sozaev

1999 ◽  
Vol 13 (29n30) ◽  
pp. 1081-1085 ◽  
Author(s):  
K. F. WOJCIECHOWSKI ◽  
A. KIEJNA ◽  
H. BOGDANÓW

The concepts of the spontaneous polarization of plasma near the metal surface and of the image force are used to propose a simple method of calculation of the face-dependent work function. The calculated work functions for low index planes of aluminium and sodium are in good agreement with experiment.


2021 ◽  
Vol 18 (1) ◽  
pp. 9-15
Author(s):  
V.M. Yurov ◽  

In the work of Shebzukhova and Arefieva, by the method of electronic-statistical calculation of the anisotropy of the surface energy of metals, a method for estimating the work function of electrons from a metal was determined. The surface energy and electron work function of four main faces of cadmium and zinc crystals and five faces of mercury are estimated. In the work of Bokarev, the anisotropy of the surface energy of single crystals was calculated from the model of coordination melting of crystals. Based on experimental studies and theoretical calculations, it is shown that the model of coordination melting of crystals unambiguously links the physicochemical properties of the surface of single crystals with their crystal structure. In our proposed empirical model, not only the anisotropy is calculated, but also the thickness of the surface layer of the metal. It is shown that the thickness of the surface layer is determined by one fundamental parameter - the molar (atomic) volume, which periodically changes in accordance with the table of D.I. Mendeleev. It is shown in the work that the work function of electrons changes proportionally with a change in the surface energy of the metal. This means that the device we have developed can be used to measure the state of the metal surface and its anisotropy.


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