Skip to main content
SpringerLink
Log in

Extrapolation-analytical method for determination of outer specific surface of powders of superhard materials

  • Tools, Powders, Pastes
  • Published:
Journal of Superhard Materials Aims and scope Submit manuscript

Abstract

A new method is put forward for calculating the outer specific surface of powders of superhard materials. It is based on 3D modeling and involves a mathematical apparatus of affine space mapping. Input data include the grain height as well as the surface area, perimeter, maximum and minimum diameters of the grain projection. The paper provides the results of testing the proposed method on standard synthetic diamond grits and micron powders (as per Ukrainian Standard DSTU 3292-95). The authors offer some recommendations as to practical application of this method.

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. Gregg, S.J. and Sing, K.S.W., Adsorption, Surface Area and Porosity, London: Academic Press, 1970.

    Google Scholar 

  2. Deryagin, B.V., Vnukov, S.P., and Fedoseev, Determination of Specific Surface of Powders by the Method of Quasistationary Filtration of Rarefied Gas, Teoreticheskie Voprosy Adsorbsii, 1973, issue 1, pp. 102–108.

  3. Bakul, V.N., Deryagin, B.V., Nikitin, Yu.I., et al., Udel’naya poverkhnost’ almaznykh poroshkov (Specific Surface of Diamond Powders), Kiev: Naukova Dumka, 1975.

    Google Scholar 

  4. Deryagin, B.V., Zakhavaeva, N.N., Talaev, M.V., and Filippovskii, V.V., Opredelenie udel’noi poverkhnosti poroshkoobraznykh tel po soprotivleniyu fil’tratsii razrezhennogo vozdukha (Determination of Specific Surface of Powder Bodies by Resistance to Rarefied Air Filtration), Moscow: Izd. AN SSSR, 1957.

    Google Scholar 

  5. Khodakov, G.S., Osnovnye metody dispersnogo analiza poroshkov (Basic Methods of Particle Size Analysis of Powders), Moscow: Stroiizdat, 1968.

    Google Scholar 

  6. Bogatyreva, G.P., Nikitin, Yu.I., and Petasyuk, G.A., Methods for Measuring Surface Roughness and Porosity of Synthetic Diamond Powders, Sverkhtverdye Materialy, 1997, no. 4, pp. 79–86, 1997 [J. Superhard Mater., 1997, no. 4].

  7. Novikov, M.V., Nikitin, Yu.I., Bogatyreva, G.P., Ukraine Patent Declaration No. 11,358, Byul., 2005, no. 12.

  8. Ciborowski, J., Fundamentals of Chemical Engineering (Translated from Polish), Leningrad: Khimiya, 1967.

    Google Scholar 

  9. Panichkina, V.V. and Uvarova, I.V., Metody kontrolya dispersnosti i udel’noi poverkhnosti metallicheskikh poroshkov (Methods for Inspection of Dispersion and Specific Surface of Metal Powders), Kiev: Naukova Dumka, 1973.

    Google Scholar 

  10. List, E., Frenzel J., Vollstaedt H., A New System for Single Particle Strength Testing of Grinding Powders, Industrial Diamond Rev., 2006, no. 1, pp. 42–47.

  11. Perepelitsa, B.A., Otobrazhenie affinnogo prostranstva v teorii formoobrazovaniya poverkhnostei rezaniem (Affine Space Mapping in the Theory of Surface Shape Generation by Cutting), Khar’kiv, Vyssh. Shkola, 1981.

    Google Scholar 

  12. Fikhtengoltz, G.M., Kurs differentsial’nogo i integral’nogo ischisleniya (The Course of Differential and Integral Calculus), Moscow: Nauka, 1969, Vol. 2.

    Google Scholar 

  13. Dwight, H.B., Tables of Integrals and Other Mathematical Data, New York: Macmillan, 1961.

    Google Scholar 

  14. Nikitin, Yu.I., Tekhnologiya izgotovleniya i kontrol’ kachestva almaznykh poroshkov (Diamond Powder Production Technology and Quality Control), Kiev: Naukova Dumka, 1984.

    Google Scholar 

  15. Bulanov, V.Ya., Kvater, L.I., Dolgal’, T.V., et al., Diagnostika metallicheskikh poroshkov (Diagnostics of Metal Powders), Moscow: Nauka, 1983.

    Google Scholar 

  16. DSTU 3292-95. Poroshky almazni syntetychni. Zagal’ni tekhnichni umovy (Ukrainian State Standard DSTU 3292-95. Synthetic Diamond Powders. General Specifications), Kiev: Vudav. Derzhstand. Ukrainy, 1995.

  17. Nikitin, Yu.I., Uman, S.M., Kobernichenko, L.V., et al., Poroshki i pasty iz sinteticheskikh almazov (Synthetic Diamond Powders and Pastes), Kiev: Naukova Dumka, 1992.

    Google Scholar 

  18. Petasyuk, G.A. and Petasyuk, O.U., The Algorithm for Computer-aided Multivariant Construction and Analysis of Empirical Mathematical Models for Technological Processes, in Protsesy mekhanichnoi obrobky v mashynobuduvanni. Zb. nauk. prats’ (Machining Processes in Machine Building. Collected Papers), Zhytomyr: Zhytomyr State Technological University, 2005, issue 1, pp. 181–193.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Bakul Institute for Superhard Materials, National Academy of Sciences of Ukraine, ul. Avtozavodska 2, Kiev, 04074, Ukraine

    G. A. Petasyuk & G. P. Bogatyreva

Authors
  1. G. A. Petasyuk
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. G. P. Bogatyreva
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Original Russian Text © G.A. Petasyuk, G.P. Bogatyreva, 2007, published in Sverkhtverdye Materialy, 2007, Vol. 29, No. 6, pp. 65–77.

About this article

Cite this article

Petasyuk, G.A., Bogatyreva, G.P. Extrapolation-analytical method for determination of outer specific surface of powders of superhard materials. J. Superhard Mater. 29, 375–383 (2007). https://doi.org/10.3103/S1063457607060081

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S1063457607060081

Keywords

Search

Navigation