The paper demonstrates in an elementary way a geometrical property of the crystal lattice (a dotted homogeneous periodical space). From this property it follows that: 1) the X-ray diffraction by the scattering centres of the space lattice requires, as is well known, that the interference phenomenon look geometrically like a usual reflection from a lattice plane; 2) the concept of equivalent lattice segments, with regard to the metric-interferential effects, can be stated; 3) some immediate relations between Laue's equations and Bragg's formula are derived in a formally rigorous way.
@article{RLINA_1979_8_66_5_429_0,
author = {Antonio Cavinato and Giorgio Magnano},
title = {Principio di equivalenza tra segmenti reticolari agli effetti metrico-interferenziali},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
volume = {66},
year = {1979},
pages = {429-434},
language = {it},
url = {http://dml.mathdoc.fr/item/RLINA_1979_8_66_5_429_0}
}
Cavinato, Antonio; Magnano, Giorgio. Principio di equivalenza tra segmenti reticolari agli effetti metrico-interferenziali. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti, Tome 66 (1979) pp. 429-434. http://gdmltest.u-ga.fr/item/RLINA_1979_8_66_5_429_0/