Sains Malaysiana 42(3)(2013): 333–340

 

Application of the Non-Orthogonal Laguerre-L2 Basis to the Calculation of Electron-Helium Scattering at Intermediate Energy

(Penggunaan Asas Tak Ortogon Laguerre-L2 untuk Pengiraan Serakan Elektron-Helium

pada Tenaga Pertengahan)

 

Agus Kartono & Mustafa Mamat*

Institute of Oceanography and Environment, Universiti Malaysia Terengganu

Mengabang Telipot, 21030 Kuala Terengganu, Terengganu, Malaysia

 

Mustafa Mamat*

Department of Mathematics, Faculty of Sciences and Technology, Universiti Malaysia Terengganu

Mengabang Telipot, 21030 Kuala Terengganu, Terengganu, Malaysia

 

Diserahkan: 10 Jun 2012/Diterima: 17 September 2012

 

ABSTRACT

Differential cross sections for excitation to the n=2 states of atomic helium by electrons were computed for incident energies in the range from 30 to 50 eV. The n=2 states excitation cross sections were calculated with the use of close-coupling expansion with a non-orthogonal Laguerre-L2 basis function. The present status of agreement between theory and experiment for excitation of the ground-state was quite satisfactory.

 

Keywords: Atomic helium; close-coupling; differential cross sections; excitation

 

ABSTRAK

Pembezaan keratan rentas untuk pengujaan keadaan atom helium n=2 oleh elektron untuk tenaga insiden dikira dalam julat daripada 30 kepada 50 eV. Keadaan keratan rentasn=2 dikira dengan menggunakan pengembangan gabungan-tertutup bersama suatu fungsi asas tak-ortogon Laguerre-L2. Persetujuan antara teori dan eksperimen untuk pengujaan ke keadaan asas adalah agak memuaskan.

 

Kata kunci: Atom helium; gabungan-tertutup; pembezaan keratan rentas; pengujaan

RUJUKAN

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Chutjian, A. & Thomas, L.D. 1975. Experimental and (first-order many-body) theoretical differential and integral cross-sections for excitation of n=3 states of He by electron-impact at 29.2 and 39.7 eV. Phys. Rev. A 11: 1583-1595.

Fursa, D.V. & Bray, I. 1995. Calculation of electron-helium scattering. Phys. Rev. A 52: 1279-1297.

Kartono, A. & Mamat, M. 2010a. The three-body coulomb potential polynomials. Malaysian Journal of Mathematical Sciences 4(1): 33-54.

Kartono, A. & Mamat, M. 2010b. The application of the pseudostate-close-coupling method using a non-orthogonal Laguerre-L2 basis for electron-helium scattering. Applied Mathematical Sciences 4(27): 1309-1328.

Kartono, A. & Mamat, M. 2011. A study of the pseudostate-close-coupling method using a non-orthogonal Laguerre-L2 basis in the intermediate energy. Malaysian Journal of Mathematical Sciences 5(1): 61-83.

Trajmar, S., Register, D.F., Cartwright, D.C. & Csanak, G.J. 1992. Differential and integral cross section for electron impact excitation of the n3S, n1S and n3P (n=2, 3) levels in He. J. Phys. B: At. Mol. Opt. Phys. 25: 4889-4910.

Winata, T. & Kartono, A. 2004. Study of non-orthogonal Laguerre-L2 method for helium atom. Eur. Phys. J. D: At. Mol. Opt. Phys. 28: 307-315.

 

 

*Pengarang untuk surat-menyurat; email: mus@umt.edu.my

 

 

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