A groupoid and graph-theoretical analysis of the biopyribole-palysepiole series

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Marco E. Ciriotti
Messaggi: 24281
Iscritto il: ven 25 giu, 2004 11:31
Località: via San Pietro, 55 I-10073 Devesi/Cirié TO - Italy
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A groupoid and graph-theoretical analysis of the biopyribole-palysepiole series

Messaggio da Marco E. Ciriotti » lun 26 feb, 2018 11:18

Prossima pubblicazione.

Referenza:
▪ Nespolo, M., Umayahara, A., Eon, J.-G. (2018): A groupoid and graph-theoretical analysis of the biopyribole-palysepiole series. European Journal of Mineralogy, 30, (in press).
Marco E. Ciriotti

«Things are interesting only in so far as they relate themselves to other things»

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Marco E. Ciriotti
Messaggi: 24281
Iscritto il: ven 25 giu, 2004 11:31
Località: via San Pietro, 55 I-10073 Devesi/Cirié TO - Italy
Contatta:

Re: A groupoid and graph-theoretical analysis of the biopyribole-palysepiole series

Messaggio da Marco E. Ciriotti » sab 09 giu, 2018 15:32

Referenza:
▪ Nespolo, M., Umayahara, A., Eon, J.-G. (2018): A groupoid and graph-theoretical analysis of the biopyribole-palysepiole series. European Journal of Mineralogy, 30, (in press).

Abstract:
The modular analysis of the biopyriboles-palysepioles polysomatic series recently presented by Nespolo, M. & Bouznari, K. [Eur. J. Mineral., 27 (2017)] is extended to take into account the local symmetry of each module and the partial operations mapping pairs of modules, to build the corresponding space groupoids. We show that the presence of pseudo-partial mirror in sepiolite and jimthompsonite leads to 40 (pseudo)-isometries, of which eight are total operations appearing in the space groups of the two structures. Chesterite can be described as a contracted twin in which a transmutation operation maps a portion of the larger module (Z8) onto the smaller module (Z5). The graph-theoretical analysis of these minerals confirms the results obtained by the application of the groupoid theory.
Marco E. Ciriotti

«Things are interesting only in so far as they relate themselves to other things»

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