TY - JOUR

T1 - K, L, M, N, O and P ionization cross-sections for electron energy loss spectroscopy

AU - Skiff, W. M.

AU - Carpenter, Ray

AU - Lin, S. H.

AU - Higgs, A.

N1 - Funding Information:
We thank Professor J. Silcox for referring us to the work of Ritsko, Schnatterly, and Gibbons; Professor R.F. Egerton for helpful discussions concerning K, L, and M shell cross-sections; and Professor P. Rez for his critical comments. We also wish to acknowledge B. Miner for ongoing collaboration with regard to the manganese oxides. This work was supported by NSF DMR 83-10649 and the E.I. du Pont de Nemours Committee on Educational Aid, and performed at the High Resolution Microscopy Facility (NSF DMR 83-06501) in the Center for Solid State Science at Arizona State University.

PY - 1988

Y1 - 1988

N2 - Analytical expressions for the differential cross-sections for K, L, M, N, O and P shell atomic ionization in a solid are derived using a single-electron transition model, and are presented for use in electron energy loss spectroscopy. The semi-empirical model treats the initial target state as a bound, hydrogen-like atomic orbital, with an effective nuclear charge. The final ionization state in the solid is taken as an electron gas, where the wavefunction is a plane wave, with an effective mass for the ejected electron of the target. An empirical phase shift is introduced into the plane wave, by replacing the effective electron mass in the exponential part of the plane wave with the electron mass. The calculated cross-sections compare favorably with those determined experimentally, for a wide variety of representative edges. The limitations of the model are discussed, and a comparison with the hydrogenic model is given. Finally, the implementation of the model for quantitative elemental analysis, using standards for calibration, is discussed. The analytical expressions are given in an appendix.

AB - Analytical expressions for the differential cross-sections for K, L, M, N, O and P shell atomic ionization in a solid are derived using a single-electron transition model, and are presented for use in electron energy loss spectroscopy. The semi-empirical model treats the initial target state as a bound, hydrogen-like atomic orbital, with an effective nuclear charge. The final ionization state in the solid is taken as an electron gas, where the wavefunction is a plane wave, with an effective mass for the ejected electron of the target. An empirical phase shift is introduced into the plane wave, by replacing the effective electron mass in the exponential part of the plane wave with the electron mass. The calculated cross-sections compare favorably with those determined experimentally, for a wide variety of representative edges. The limitations of the model are discussed, and a comparison with the hydrogenic model is given. Finally, the implementation of the model for quantitative elemental analysis, using standards for calibration, is discussed. The analytical expressions are given in an appendix.

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U2 - 10.1016/0304-3991(88)90406-8

DO - 10.1016/0304-3991(88)90406-8

M3 - Article

AN - SCOPUS:0023851161

SN - 0304-3991

VL - 25

SP - 47

EP - 60

JO - Ultramicroscopy

JF - Ultramicroscopy

IS - 1

ER -