PART 1
APPLIED CHEMISTRY RESEARCH NOTES
CHAPTER 1
A NOTE ON VAN DER WAALS RADII AND ATOMIC DIMENSIONAL CHARACTERISTICS
G. A. KORABLEV,1 G. S. VALIULLINA,1 and G. E. ZAIKOV2
1Izhevsk State Agricultural Academy, Studencheskaya St., 11, Izhevsk, 426000, Russia, E-mail: [email protected] 2Institute of Biochemical Physics N.M. Emanuel, 4, Kosygin St., Moscow, 119991, Russia, E-mail: [email protected]
CONTENTS
Abstract
>1.1 Introduction
>1.2 Research Methods
>1.3 Calculations and Comparisons
Keywords
References
ABSTRACT
The registration of P-parameter properties allows explaining the direct dependence between covalence and Van der Waals radii.
1.1 INTRODUCTION
Covalence and Van der Waals radii are widely used in physical-chemical research.
The covalence bond is the bond formed by a pair of electrons. At the same time, each atom included into the bond sends one electron to the pair, which belongs to both atoms.
Van der Waals interactions are intermolecular interactions between electrically neutral particles. These are weak interactions but they are very important in structural conformation processes, especially for biosystems.
However, there is still no mathematical bond between the radii of these significant interactions. The concept of spatial-energy parameter (P-parameter) is applied for this purpose in this research [1].
1.2 RESEARCH METHODS
It was found that P-parameter possesses wave properties [1].
The interference maximum, amplification of oscillations (in the phase) occur if the wave path difference equals the even number of half-waves: or Δ = λ(n + 1), where λ – wavelength, n = 0, 1, 2, 3… (even number).
As applicable to P-parameter, the maximum amplification of interactions in the phase corresponds to the interactions of like-charged systems or systems homogeneous by their properties and functions (e.g., between the fragments or blocks of complex organic structures). Then, the relative value of P-parameters of these systems is as follows:
Similarly, for “degenerated” systems (with similar function values) of 2D harmonic oscillator, the energy of stationary states is as follows:
where h – Plank’s constant, v – frequency.
From the Eq. (1) we have: or .
This means that apart from the initial (main) atom state with P-parameter, each atom can have structural-active valence orbitals with another value of Pi-parameters, moreover, the nearest most active valence states differ in two times by the values of P-parameters. Formally, this corresponds to the increase in the distance of interatom (intermolecular) interaction in 2 times, that is, we observe the transition from the interaction radius to the diameter.
Therefore, for Pe-parameter we have:
or
Apparently, the periodicity of element system also corresponds to the Eqs. (2) and (3), in which, taking into account the screening effects, it is better to use the effective main quantum number – n* instead of n, the bond between which by Slatter [2] is as follows:
Then: and
where Pi – P0-parameters of each element in the given period of the System.
1.3 CALCULATIONS AND COMPARISONS
It is known that an electron energy, if there are no other electrons on the orbital, depends only on where Z* – nucleus effective charge.
In accordance with the equality principle of P-parameters of interacting systems and as applicable to the given atom at its different radii of intermolecular interaction, we make the Eqs. (2) and (3) equal, and, raising n* and (n* + 1) to the second power, we have:
| (4) |
where rk – covalence radii, Rv – Van der Waals radii.
The correctness of the Eq. (4) is proved by the calculations given in Table 1.1. By physical sense, this equation is determined by quantum changes in the radius of intermolecular interaction of elements of different periods of the System.
TABLE 1.1 Dependence Between Covalence and Van der Waals Radii
Thus, covalence and Van der Waals radii are linked by a simple dependence via the coefficient .
KEYWORDS
• covalence
• P-parameter properties
• spatial-energy parameter
• Van der Waals radii
REFERENCES
1. Korablev, G. A. Spatial-Energy Principles of Complex Structures Formation, Amsterdam, The Netherlands, Brill Academic Publishers and VSP, 2005, 426p.
2. Batsanov, S. S., Zvyagina, R. A. Overlap integrals and problem of effective charges (in Rus.), Science (Nauka) Publishing House, Novosibirsk City, 1966, 386p.
CHAPTER 2
A NOTE ON INORGANIC POLYMERS SEMICONDUCTOR MATERIALS
B. S. ALIKHADZHIEVA and Z. S. KHASBULATOVA
Chechen State Pedagogical Institute, 33, Kievskaj Str., 364037, Grozny, Russia; E-mail: [email protected]
CONTENTS
Abstract
>2.1 Introduction
>2.2 Identification of Phases Was Carried Out by the X-Ray Phase Analysis
Keywords
References
ABSTRACT
Metaphosphates alkali metals of inorganic polymers, which in the molten state retain poly...