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Pis'ma v Zh. Èksper. Teoret. Fiz., 2016, Volume 104, Issue 9, Pages 629–634 (Mi jetpl5101)  

This article is cited in 2 scientific papers (total in 2 papers)

FIELDS, PARTICLES, AND NUCLEI

New qualitative results of the atomic theory

A. M. Dyugaeva, E. V. Lebedevab

a Landau Institute for Theoretical Physics, Russian Academy of Sciences, Chernogolovka, Moscow region, Russia
b Institute of Solid State Physics, Russian Academy of Sciences, Chernogolovka, Moscow region, Russia

Abstract: The polarizability $\alpha$ of many atoms and positive ions is related to their energy gap $\Delta$ and valence $m$ by the expression $\alpha\Delta^2\cong m$ (in atomic units). The parameter $\Delta$ corresponds to a dipolar transition from the ground state to the first excited $P$ state without a change in the principal quantum number $n$. This relation holds for univalent ($m=1$) Na, K, Rb, Cs, Fr and bivalent ($m=2$) Mg, Ca, Zn, Sr, Cd, Ba, Yb, Hg atoms. The above relation agrees with the experiment for positive ions Mg$^+$ and Ca$^+$ ($m=1$) and Al$^+$ and Ga$^+$ ($m=2$). The polarizability has been found for atoms and ions of the type Zn$^+$, In$^+$, Tl$^+$, for which experimental data are unavailable. A method of calculating $\alpha$ for ions of the types C$^{++}$, Al$^{++}$, Si$^{++}$ and Si$^{+++}$, P$^{+++}$, As$^{+++}$ has been suggested based on the approximate relation $\alpha\cong(2/3\langle r^2\rangle_0)^2/m$ with the parameter $\langle r^2\rangle_0$ expressed in terms of the valence $m$, the charge number $q$ of the atomic or ionic residue, and the ionization potential $J_q=\frac{q^2}{2v_s^2}$ as $\langle r^2\rangle_0=\frac{m}{2q^2}\nu_s^2( 1 + 5\nu _s^2)$. The hydrogen dependence of $\langle r^2\rangle_0$ on the parameter $\nu_s$ has been derived by analytical continuation from the integer values $\nu_s=1$ and $2$. A variational estimate of the van der Waals constant characterizing the interaction of two spherically symmetric atoms at large distances has been given.

Funding Agency Grant Number
Russian Foundation for Basic Research 16-02-00522_


DOI: https://doi.org/10.7868/S0370274X16210025

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English version:
Journal of Experimental and Theoretical Physics Letters, 2016, 104:9, 639–644

Bibliographic databases:

Received: 11.09.2016
Revised: 22.09.2016

Citation: A. M. Dyugaev, E. V. Lebedeva, “New qualitative results of the atomic theory”, Pis'ma v Zh. Èksper. Teoret. Fiz., 104:9 (2016), 629–634; JETP Letters, 104:9 (2016), 639–644

Citation in format AMSBIB
\Bibitem{DyuLeb16}
\by A.~M.~Dyugaev, E.~V.~Lebedeva
\paper New qualitative results of the atomic theory
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2016
\vol 104
\issue 9
\pages 629--634
\mathnet{http://mi.mathnet.ru/jetpl5101}
\crossref{https://doi.org/10.7868/S0370274X16210025}
\elib{http://elibrary.ru/item.asp?id=27330813}
\transl
\jour JETP Letters
\yr 2016
\vol 104
\issue 9
\pages 639--644
\crossref{https://doi.org/10.1134/S0021364016210098}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000392969500008}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85010029657}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. A. M. Dyugaev, V E. Lebedeva, Low Temp. Phys., 44:10 (2018), 1085–1089  crossref  isi  scopus
    2. Schwerdtfeger P., Nagle J.K., Mol. Phys., 117:9-12, SI (2019), 1200–1225  crossref  isi
  •       Pis'ma v Zhurnal ksperimental'noi i Teoreticheskoi Fiziki
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