2023
DOI: 10.1107/s1600576723008476
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Polynator: a tool to identify and quantitatively evaluate polyhedra and other shapes in crystal structures

Lukas Link,
Rainer Niewa

Abstract: Polynator is a Python program capable of identifying coordination polyhedra, molecules and other shapes in crystal structures and evaluating their distortions. Distortions are quantified by fitting the vertices of a model to a selected set of atoms. In contrast to earlier programs, models can be deformable, which allows them to represent a point group or a range of shapes such as the set of all trigonal prisms, rather than a specific, rigid shape such as the equilateral trigonal prism. The program comes with a… Show more

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Cited by 14 publications
(8 citation statements)
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“…Ewald site energies were calculated with the EwaldSummation class of the Python Materials Genomics (pymatgen) library. , For charge distribution (CHARDI) and bond valence sum (BVS) calculations, we used CHARDI2015 (Build 21) and EXPO2014 (v1.22.11), respectively. To improve the quality of the BVS results, we used optimized R 0 parameters, as we reported earlier ( R 0 (Si 4+ –N 3– ) = 1.731 and R 0 (P 5+ –N 3– ) = 1.712) . Volumes and distances were calculated with Polynator v1.3 and VESTA v3.5.8. , All values were compared to literature values by calculating method-related and total mean deviations. For a full list of reference compounds, refer to our previous work…”
Section: Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…Ewald site energies were calculated with the EwaldSummation class of the Python Materials Genomics (pymatgen) library. , For charge distribution (CHARDI) and bond valence sum (BVS) calculations, we used CHARDI2015 (Build 21) and EXPO2014 (v1.22.11), respectively. To improve the quality of the BVS results, we used optimized R 0 parameters, as we reported earlier ( R 0 (Si 4+ –N 3– ) = 1.731 and R 0 (P 5+ –N 3– ) = 1.712) . Volumes and distances were calculated with Polynator v1.3 and VESTA v3.5.8. , All values were compared to literature values by calculating method-related and total mean deviations. For a full list of reference compounds, refer to our previous work…”
Section: Methodsmentioning
confidence: 99%
“…1 Volumes and distances were calculated with Polynator v1.3 and VESTA v3.5.8. 41,42 All values were compared to literature values by calculating method-related and total mean deviations. For a full list of reference compounds, refer to our previous work.…”
Section: ■ Experimental Sectionmentioning
confidence: 99%
“…This is not surprising, given the P 2 1 2 1 2 1 space group. The Sr 2+ environment can be described as a distorted monocapped tetragonal antiprism corresponding to the Johnson body #10 (Figure c). , Here, Sr 2+ is coordinated by nine N 3– ligands with an effective coordination number (ECoN) of 7.1 and a mean interatomic Sr–N distance of 2.85 Å. A more detailed classification of this structure with regard to its LaSi 3 N 5 analogues is given below.…”
Section: Resultsmentioning
confidence: 99%
“…(b) Polyhedral description of the (Si,P)−N tetrahedra and illustration of the structural motifs A and B. (c) Depiction of the real and idealized Sr 2+ environment as given by the program Polynator by Link et al36…”
mentioning
confidence: 99%
“…[7,8] In this work, we calculated (Si, P)À (O, N) bond lengths, (Si, P)(O, N) 4 tetrahedral volumes, as well as electrostatic potential energies (Ewald Summation), charge distributions (CHARDI), and bond valence sums (BVS) of Si 4 + and P 5 + . [23][24][25][26][27][28] On the one hand, we use the distributions of bond lengths and volumes in a compound to distinguish between N and O. If the distributions show a discrete clustering with a clear gap, it can be assumed in most cases that there are distinct O sites.…”
Section: Low-cost Crystallographic Calculationsmentioning
confidence: 99%