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
Bray, I. & Stelbovics, A.T. 1992. Convergent
close-coupling calculations of electron-hydrogen scattering. Phys.
Rev. A 46: 6995-7011.
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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