Skip to main content
SpringerLink
Log in

On a model for monoatomic liquids

К модели для моноатомных жидкостей

  • Published:
Il Nuovo Cimento B (1965-1970)

Summary

A simple model for the structure of monoatomic liquids, related to a previous one of Prins and Petersen, is described and the formulae for the radial density, the time-dependent radial density and the scattering function are worked out.

Riassunto

Si discute un modello semplice, valido per la struttura dei liquidi monoatomici e connesso con una precedente ipotesi dovuta a Prins e Petersen. Precisato il modello, se ne deducono delle formule approssimate per la densità radiale, la densità radiale dipendente dal tempo e per la funzione di scattering.

Реэюме

Описывается простая модель для структуры моноатомных жидкостей, свяэанная с предыдушей моделью Принса и Петерсена, и выводятся формулы для радиальной плотности, для радиальной плотности, эависяшей от времени, и для функции рассеяния.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. This model, in its essential lines, was arrived at during some previous work on the structure of liquid4He. (S. Franchetti:Nuovo Cimento,22, 374 (1961).) We describe it here in a more detailed way and for a nonquantum liquid.

    Article  Google Scholar 

  2. J. A. Prins andH. Petersen:Physica,3, 147 (1936).

    Article  ADS  Google Scholar 

  3. R. Kaplow, S. L. Strong andB. L. Averbach:Phys. Rev.,138, A 1336 (1965);R. R. Fessler, R. Kaplow andB. L. Averbach:Phys. Rev.,150, 34 (1966).

  4. J. Frenkel:Kinetic Theory of Liquids (Oxford, 1946), p. 114.

  5. G. Fournet:Enc. of Phys.,32, 244 (1957).

    Google Scholar 

  6. G. H. Vineyard: inLiquid Metals and Solidification (published by the American Society of Metals), p. 30. The author is indebted toG. H. Vineyard for kindly supplying him with a reproduction of this article.

  7. F. Zernike andJ. A. Prins:Zeits. f. Phys.,41, 184 (1927).

    ADS  Google Scholar 

  8. In principle, neutrons should of course be treated differently, as the fundamental work ofVan Hove and others has shown. When however it comes to the practical job of deducing the radial density from the scattering data, it is the Zernike and Prins equation, valid for X-rays, that is mostly employed. That one can improve somewhat upon this procedure has been shown only recently byP. Ascarelli andG. Caglioti:Nuovo Cimento,43 B, 375 (1966).

    Article  ADS  Google Scholar 

  9. In particular, formula 26, p. 74, vol.1 ofA. Erdelyi,et al.: Tables of Integral Transforms (New York, 1954). In this formula the value of the Erfc is indistinguishable from 2.0. (SeeM. Abramovitz andI. Stegun:Handbook of Mathematical Functions, formula 7.1.29 (New York, 1965), p. 299.)

Download references

Author information

Authors and Affiliations

  1. Istituto di Fisica dell’Università, Firenze

    S. Franchetti

Authors
  1. S. Franchetti
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Franchetti, S. On a model for monoatomic liquids. Nuovo Cimento B (1965-1970) 55, 335–347 (1968). https://doi.org/10.1007/BF02711646

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02711646

Keywords

Search

Navigation