The Algebraic Approach to the Phase Problem for Neutron Scattering

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dc.creatorCervellino, A.
dc.creatorCiccariello, S.
dc.date2004-01-27
dc.date.accessioned2026-07-07T04:30:53Z
dc.date.available2026-07-07T04:30:53Z
dc.descriptionThe algebraic approach to the phase problem for the case of X-ray scattering from an ideal crystal is extended to the case of the neutron scattering, overcoming the difficulty related to the non-positivity of the scattering density. In this way, it is proven that the atomicity is the crucial assumption while the positiveness of the scattering density only affects the method for searching the basic sets of reflections. We also report the algebraic expression of the determinants of the Karle-Hauptman matrices generated by the basic sets with the most elongated shape along one of the reciprocal crystallographic axes.
dc.description34 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0401044
dc.identifierhttp://arxiv.org/abs/math-ph/0401044
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57626
dc.subjectMathematical Physics
dc.subject78A45
dc.titleThe Algebraic Approach to the Phase Problem for Neutron Scattering
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