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Atomic form factors for large momentum transfers

Атомные форм-факторы при больших передаваемых импульсах

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Il Nuovo Cimento B (1971-1996)

Summary

Atomic form factors are calculated for momentum transfers between 0.1m e c and infinity. The calculation is based on electron charge densities obtained from a relativistic self-consistent-field program with exchange represented essentially by the Gaspar-Kohn-Sham equivalent potential. Form factors are tabulated in the range 0.1m e c≲q≲2m e c for 18 atoms ranging from20Ca to92U. For higherq, the form factor for each atom is given as a simple 3-parameter form, multiplying the Bethe-Levinger relativisticK-shell formula.

Riassunto

Si calcolano i fattori di forma atomici per impulsi trasferiti tra 0.1m e c e l’infinito. Il calcolo è basato sulle densità di carica dell’elettrone ottenute da un programma relativistico di campo autoconsistente con lo scambio rappresentato essenzialmente dal potenziale equivalente di Gasper-Kohn-Sham. I fattori di forma sono posti in tabelle nell’intervallo 0.1m e c≲q≲2m e c per 18 atomi compresi tra20Ca e92U. Perq più alto, il fattore di forma per ogni atomo è dato in una semplice forma a 3 parametri che moltiplica la formula relativistica dello stratoK di Bethe-Levinger.

Резюме

Вычисляются атомные форм-факторы при передаваемых импульсах от 0.1m e c до бесконечности. Вычисление основано на плотностях электронн⋣го заряда, полученных из релятивистской программы самосогласованного поля с обменом, представленным в основном эквивалентным потенциалом Гаспара-Кона-Шама. Форм-факторы табулируются в области 0.1m e c≲q≲2m e c для 18 атомов от20Ca до92U. При больших значенияхq форм-фактоп для каждого атома определяется через простое трехпараметрическое выражение, умноженное на релятивистскую формулуК-оболочки Бете-Левинджера.

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Authors and Affiliations

  1. Institute of Physics, University of Trondheim, NLHT, N-7000, Trondheim, Norway

    I. Øverbø

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  1. I. Øverbø
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Øverbø, I. Atomic form factors for large momentum transfers. Nuovo Cim B 40, 330–338 (1977). https://doi.org/10.1007/BF02728216

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