On the problem of crystal metallic lattice in the densest packings of chemical elements

    Дисциплина: Иностранные языки
    Тип работы: Реферат
    Тема: On the problem of crystal metallic lattice in the densest packings of chemical elements

    ON THE PROBLEM OF CRYSTAL METALLIC LATTICE IN THE DENSEST PACKINGS OF CHEMICAL ELEMENTS

    G.G FILIPENKO

    www.belarus.net/discovery/filipenko

    sci.materials(1999)

    Grodno

    Abstract

    The literature generally describes a metallic bond as the one formed by means of mutual bonds between atoms\' exterior electrons and not possessing the directional properties.

    However, attempts have been made to explain directional metallic bonds, as a specific crystal metallic lattice.

    This paper demonstrates that the metallic bond in the densest packings (volume-centered and face-centered) between the centrally elected atom and its neighbours in general is,

    probably, effected by 9 (nine) directional bonds, as opposed to the number of neighbours which equals 12 (twelve) (coordination number).

    Probably, 3 (three) \"foreign\" atoms are present in the coordination number 12 stereometrically, and not for the reason of bond. This problem is to be solved

    experimentally.

    Introduction

    At present, it is impossible, as a general case, to derive by means of quantum-mechanical calculations the crystalline structure of metal in relation to electronic structure of

    the atom. However, Hanzhorn and Dellinger indicated a possible relation between the presence of a cubical volume-centered lattice in subgroups of titanium, vanadium, chrome and

    availability in these metals of valent d-orbitals. It is easy to notice that the four hybrid orbitals are directed along the four physical diagonals of the cube and are well adjusted

    to binding each atom to its eight neighbours in the cubical volume-centered lattice, the remaining orbitals being directed towards the edge centers of the element cell and, possibly,

    participating in binding the atom to its six second neighbours /3/p. 99.

    Let us try to consider relations between exterior electrons of the atom of a given element and structure of its crystal lattice, accounting for the necessity of directional

    bonds (chemistry) and availability of combined electrons (physics) responsible for galvanic and magnetic properties.

    According to /1/p. 20, the number of Z-electrons in the conductivitiy zone has been obtained by the authors, allegedly, on the basis of metal\'s valency towards oxygen, hydrogen

    and is to be subject to doubt, as the experimental data of Hall and the uniform compression modulus are close to the theoretical values only for alkaline metals. The volume-centered

    lattice, Z=1 casts no doubt. The coordination number equals 8.

    The exterior electrons of the final shell or subcoats in metal atoms form

    conductivity zone. The number of electrons in the conductivity zone effects Hall\'s constant, uniform compression ratio, etc.

    Let us

    construct

    the model of metal - element so that external electrons of last layer or sublayers of atomic kernel, left after filling the conduction band, influenced somehow pattern of

    crystalline structure (for example: for the body-centred lattice - 8 ‘valency’ electrons, and for volume-centered and face-centred lattices - 12 or 9).

    ROUGH, QUALITATIVE MEASUREMENT OF NUMBER OF ELECTRONS IN CONDUCTION BAND OF METAL - ELEMENT. EXPLANATION OF FACTORS, INFLUENCING FORMATION OF TYPE OF MONOCRYSTAL MATRIX AND SIGN

    OF HALL CONSTANT.

    (Algorithm of construction of model)

    The measurements of the Hall field allow us to determine the sign of charge carriers in the conduction band. One of the remarkable features of the Hall effect is, however, that

    in some metals the Hall coefficient is positive, and thus carriers in them should, probably, have the charge, opposite to the electron charge /1/. At room temperature this holds true

    for the following: vanadium, chromium, manganese, iron, cobalt, zinc, circonium, niobium, molybdenum, ruthenium, rhodium, cadmium, cerium, praseodymium, neodymium, ytterbium, hafnium,

    tantalum, wolfram, rhenium, iridium, thallium, plumbum /2/. Solution to this enigma must be given by complete quantum - mechanical theory of solid body.

    Roughly speaking, using the ba...

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