Symmetry Relationships between Crystal Structures: Applications of Crystallographic Group Theory in Crystal Chemistry

2019 ◽  
Vol 60 (1) ◽  
pp. 83-84
Author(s):  
M. P. Gururajan
Author(s):  
Olaf Delgado-Friedrichs ◽  
Stephen T. Hyde ◽  
Shin-Won Mun ◽  
Michael O'Keeffe ◽  
Davide M. Proserpio

Nets in which different vertices have identical barycentric coordinates (i.e.have collisions) are called unstable. Some such nets have automorphisms that do not correspond to crystallographic symmetries and are called non-crystallographic. Examples are given of nets taken from real crystal structures which have embeddings with crystallographic symmetry in which colliding nodes either are, or are not, topological neighbors (linked) and in which some links coincide. An example is also given of a crystallographic net of exceptional girth (16), which has collisions in barycentric coordinates but which also has embeddings without collisions with the same symmetry. In this last case the collisions are termedunforced.


CrystEngComm ◽  
2020 ◽  
Vol 22 (20) ◽  
pp. 3531-3538
Author(s):  
Ken Niwa ◽  
Tomoya Inagaki ◽  
Tetsu Ohsuna ◽  
Zheng Liu ◽  
Takuya Sasaki ◽  
...  

Sn3N4 polymorphs were synthesized via high-pressure nitridation of tin by means of laser-heated diamond anvil cell technique. This implies new insight into the crystal chemistry and functional materials of group IVA nitrides.


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