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Quantum Theoretical Methods for Calculating Ionization Cross Sections

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Electron Impact Ionization

Abstract

The electron impact ionization of atoms and ions is a topic of both fundamental and practical importance in modern atomic physics. From a practical standpoint, estimates of the rates of ionization of highly charged ions in high temperature plasmas are important components of models of the structure and dynamics of laboratory and astrophysical plasmas. Theoretical modeling of the complex ionic transport mechanisms observed in fusion plasma machines demands that rates for the relevant atomic processes be known. Since the ionization rate along with the associated recombination rates govern the charge state structure of plasmas, they are also important for the prediction of the spectral distribution of radiation from hot plasmas.

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References

  • Abouaf, R. (1970): J. Physique 31, 277–283.

    Article  Google Scholar 

  • Asundi, R. K., Kurepa, M. V. (1965): J. Electron Control 15, 41–50.

    Google Scholar 

  • Belic, D. S., Falk, R. A., Dunn, G. H.: To be published.

    Google Scholar 

  • Bell, K. L., Kingston, A. E. (1975): J. Phys. B8, 2666–2678.

    Google Scholar 

  • Bely, O. (1968): J. Phys. B 2, 23–28.

    Article  ADS  Google Scholar 

  • Blaha, M., Davis, J. (1980): Electron Ionization Cross sections in the Distorted Wave Approximation. NRL Memorandum Report 4245, Naval Research Laboratory, Washington, D. C.

    Google Scholar 

  • Bottcher, C. (1981): J. Phys. B 14, L 349-L 355.

    Google Scholar 

  • Bransden, B. H., Smith, J. J., Winters, K. H. (1978): J. Phys. B11, 3095–3114.

    ADS  Google Scholar 

  • Bransden, B. H., Smith, J. J., Winters, K. H. (1979): J. Phys. B12, 1267–1278.

    ADS  Google Scholar 

  • Burke, P. G., Taylor, A. J. (1965): Proc. Roy. Soc. A287, 105–122.

    Article  ADS  Google Scholar 

  • Butler, K., Moores, D. L. (1981): X II Intl. Conf. on Phys. Electronic and Atomic Collisions (Datz, S., ed. ).

    Google Scholar 

  • Callaway, J., Oza, D. H. (1979): Phys. Lett. 72A, 207–208.

    Google Scholar 

  • Cowan, R. D., Mann, J. B. (1979): Astrophys. J. 232, 940–947.

    Article  ADS  Google Scholar 

  • Crandall, D. H. (1981): Physica Scripta, 23, 153–162.

    Article  ADS  Google Scholar 

  • Crandall, D. H. (1982): To be published.

    Google Scholar 

  • Crandall, D. H., Phaneuf, R. A., Falk, R. A., Belic, D. S., Dunn, G. H. (1982): Phys. Rev. A25, 143–153.

    Google Scholar 

  • Defrance, P., Claeys, W., Cornet, A., Poulaert, G. (1981): J. Phys. B 14, 111–117.

    Google Scholar 

  • Economides, D. G., McDowell, M. R. C. (1969): J. Phys. B2, 1323–1331.

    ADS  Google Scholar 

  • Fadeev, L. D. (1961): Sov. Phys. JETP 12, 1014–1019.

    Google Scholar 

  • Falk, R. A., Dunn, G. H., Griffin, D. C., Bottcher, C., Gregory, D. C., Crandall, D. G., Pindzola, M. S. (1982): To be published.

    Google Scholar 

  • Fano, U., Inokuti, M. (1976): On the Theory of Ionization by Electron Collisions. Argonne National Laboratory Report ANL-76–80 Argonne, Illinois.

    Google Scholar 

  • Golden, L. B., Sampson, D. H. (1977): J. Phys. B10, 2229–2237.

    ADS  Google Scholar 

  • Golden, L. B., Sampson, D. H. (1980): J. Phys. B13, 2645–2652.

    MathSciNet  ADS  Google Scholar 

  • Griffin, D. C., Bottcher, C., Pindzola, M. S. (1982): Phys. Rev. A25, 154–160.

    Article  ADS  Google Scholar 

  • Griffin, D. C., Bottcher, C., Pindzola, M. S. (1981 b): To be published.

    Google Scholar 

  • Hahn, Y. (1977): Phys. Rev. Lett. 39, 82–84.

    Article  ADS  Google Scholar 

  • Hansen, J. E. (1975): J. Phys. B8, 2759–2770.

    ADS  Google Scholar 

  • Henry, R. J. W. (1979): J. Phys. B12, L309 - L313.

    ADS  Google Scholar 

  • Hooper, J. W., Lineberger, W. C., Bacon, F. M. (1966): Phys. Rev. 141, 165–173.

    Article  ADS  Google Scholar 

  • Jakubowicz, H., Moores, D. L. (1980): Comments At. Mol. Phys. 9, 55.

    Google Scholar 

  • Jakubowicz, H., Moores, D. L. (1981): To be published.

    Google Scholar 

  • Kieffer, L. J., Dunn, G. H. (1966): Rev. Mod. Phys. 38, 1–35.

    Google Scholar 

  • Kim, Y. K., Cheng, K.-T. (1978): Phys. Rev. A18, 36–47.

    Article  ADS  Google Scholar 

  • Kupriyanov, S. E., Latypov, Z. Z. (1965): Sov. Phys. JETP 20, 36–41.

    Google Scholar 

  • LaGattuta, K. J., Hahn, Y. (1981): Phys. Rev. A24, 2273–2276.

    Article  ADS  Google Scholar 

  • Madison, D. H., Calhoun, R. V., Shelton, W. N. (1977): Phys. Rev. A 16, 552–562.

    Article  ADS  Google Scholar 

  • Massey, H. S. W., Burhop, E. H. S. (1969): Electronic and Ionic Impact Phenomena, Vol. 1. Oxford: Oxford Univ. Press.

    Google Scholar 

  • McCarthy, I. E., Stelbovics, A. T. (1980): In: Theoretical Methods for Ionization in Atomic and Molecular Processes in Controlled Thermonuclear Fusion (McDowell, M. R. C, Ferendeci, A. M., eds.). New York: Plenum Press.

    Google Scholar 

  • McGuire, E. J. (1971): Phys. Rev. A3, 267–279.

    Article  ADS  Google Scholar 

  • McGuire, E. J. (1977a): Phys. Rev. A 16, 62–72.

    Article  ADS  Google Scholar 

  • McGuire, E. J. (1977b): Phys. Rev. A16, 72–79.

    Google Scholar 

  • McGuire, E. J. (1979): Phys. Rev. A20, 445–456.

    Article  ADS  Google Scholar 

  • Moores, D. L. (1972): J. Phys. B5, 286–298.

    ADS  Google Scholar 

  • Moores, D. L. (1978): J. Phys. BII, L403 - L405.

    Google Scholar 

  • Moores, D. L., Golden, L. B., Sampson, D. H. (1980): J. Phys. B13, 385–395.

    ADS  Google Scholar 

  • Moores, D. L., Nussbaummer, H. (1970): J. Phys. B3, 161–172. Ndefru, J. T., Malik, F. J.: To be published.

    Google Scholar 

  • Peach, G. (1966a): Proc. Phys. Soc. 87, 375–380.

    Article  ADS  Google Scholar 

  • Peach, G. (1966b): Proc. Phys. Soc. 87, 381–391.

    Article  ADS  Google Scholar 

  • Peach, G. (1968): J. Phys. B2, 1088–1108.

    ADS  Google Scholar 

  • Peach, G. (1970): J. Phys. B3, 328–349.

    ADS  Google Scholar 

  • Peach, G. (1971): J. Phys. B4, 1670–1677.

    ADS  Google Scholar 

  • Peart, B., Dolder, K. T. (1968): J. Phys. B1, 240–244.

    ADS  Google Scholar 

  • Peart, B., Martin, S. O., Dolder, K. T. (1969): J. Phys. B2, 1176–1179.

    ADS  Google Scholar 

  • Peek, J. (1980): Private Communication.

    Google Scholar 

  • Peterkop, R. K. (1977): Theory of Ionization of Atoms by Electron Impact. Boulder, Colorado: Colorado Associated Univ. Press.

    Google Scholar 

  • Pindzola, M. S., Griffin, D. C., Bottcher, C. (1982): Phys. Rev. A25, 211–218.

    Article  ADS  Google Scholar 

  • Rapp, D., Englander-Golden, P. (1965): J. Chem. Phys. 43, 1464–1479.

    Article  ADS  Google Scholar 

  • Riley, M. E. (1973): Phys. Rev. A8, 742–753.

    Article  ADS  Google Scholar 

  • Rudge, M. R. H. (1968): Revs. Mod. Phys. 40, 564–590.

    Article  ADS  Google Scholar 

  • Robb, W. D., Roundtree, S. P., Burnett, T. (1975): Phys. Rev. A11, 1193–1199.

    ADS  Google Scholar 

  • Rosner, S. D., Gaily, T. D., Holt, R. A. (1976): J. Phys. B9, L489–491.

    ADS  Google Scholar 

  • Rudge, M. R. H., Schwartz, S. B. (1966): Proc. Phys. Soc. 88, 563–578.

    Article  ADS  Google Scholar 

  • Rudge, M. R. H., Seaton, M. J. (1965): Proc. Roy. Soc. London A 283, 262–290.

    Article  MathSciNet  ADS  Google Scholar 

  • Sampson, D. H., Golden, L. B. (1979): J. Phys. B12, L785 - L791.

    ADS  Google Scholar 

  • Sampson, D. H., Golden, L. B. (1981): J. Phys. B14, 903–913.

    ADS  Google Scholar 

  • Shearer-Izumi, W., Botter, R. (1974): J. Phys. B7, L125- L 128.

    Google Scholar 

  • Sloan, I. H. (1965): Proc. Phys. Soc. 85, 435–442.

    Article  ADS  Google Scholar 

  • Stingl, E. (1972): J. Phys. B5, 1160–1174.

    ADS  Google Scholar 

  • Thomson, Sir J. J. (1912): Phil. Mag. 23, 449–457.

    Google Scholar 

  • Ton-That, D., Manson, S. T., Flannery, M. R. (1977): J. Phys. B10, 621–653.

    ADS  Google Scholar 

  • Trefftz, E. (1962): Proc. Roy. Soc. London A271, 379–386.

    ADS  Google Scholar 

  • Tweed, R. J. (1980): J. Phys. B13, 4467–4479.

    ADS  Google Scholar 

  • Weingold, E., McCarthy, I. E. (1978): (e, 2 e) Collisions in Advances in Atomic and Molecular Physics, Vol. 14 ( Bates, Sir D. R., Benderson, B., eds.). New York: Academic Press.

    Google Scholar 

  • Vriens, L. Bonsen, T. F. M., Smit, J. A. (1968): Physica 40, 229–252.

    Article  ADS  Google Scholar 

  • Younger, S. M. (1980a): Phys. Rev. A22, 111–117.

    ADS  Google Scholar 

  • Younger, S. M. (1980 b): Phys. Rev. A 22, 1425–1428.

    ADS  Google Scholar 

  • Younger, S. M. (1981 a): Phys. Rev. A 23, 1138–1146.

    ADS  Google Scholar 

  • Younger, S. M. (1981 b): Phys. Rev. A24, 1272–1277.

    ADS  Google Scholar 

  • Younger, S. M. (1981 c): Phys. Rev. A 24, 1278–1285.

    ADS  Google Scholar 

  • Younger, S. M. (1981 d): J. Quant. Spectrosc. Radiat. Transfer 26, 329–337.

    ADS  Google Scholar 

  • Younger, S. M. (1982 a): Comm. At. Mol. Phys. 11, 193–209.

    ADS  Google Scholar 

  • Younger, S. M. (1982 b): J. Res. Nat. Bur. Stds. 87, 49–51.

    ADS  Google Scholar 

  • Younger, S. M. (1982c): J. Quant. Spectrosc. Radiat. Transfer 27, 541–544.

    Google Scholar 

  • Younger, S. M. (1982d): Phys, Rev. A 25, 3396–3398.

    Article  Google Scholar 

  • Younger, S. M. (1982e): Phys. Rev. A 26, 3177–3186.

    Article  Google Scholar 

  • Younger, S. M. (1982f): J. Quant. Spectrosc. Radiat. Transfer 29, 61–66.

    Article  ADS  Google Scholar 

  • Younger, S. M. (1982g): Unpublished.

    Google Scholar 

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Younger, S.M. (1985). Quantum Theoretical Methods for Calculating Ionization Cross Sections. In: Märk, T.D., Dunn, G.H. (eds) Electron Impact Ionization. Springer, Vienna. https://doi.org/10.1007/978-3-7091-4028-4_1

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  • DOI: https://doi.org/10.1007/978-3-7091-4028-4_1

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