2007
DOI: 10.1002/chin.200733226
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Puckering Coordinates of Monocyclic Rings by Triangular Decomposition.

Abstract: We describe a new method of describing the pucker of an N-member monocyclic ring using N−3 parameters. To accomplish this, three ring atoms define a reference plane, and the remainder of the ring is decomposed into triangular flaps. The angle of incidence for each flap upon the reference plane is then measured. The combination of these angles is characteristic of the ring's pucker. This puckering coordinate system is compared to existing reduced parameter systems to describe rings using a cyclohexane molecule.… Show more

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Cited by 15 publications
(23 citation statements)
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“…Geometrical features of the N‐acetyl group were calculated using in‐house python scripts, the calculation of the Cremer and Pople angle being implemented as proposed by Hill and Reilly 23 . Real‐space correlation coefficients (RSCCs) of the β‐D‐GlcNAc units were calculated with Privateer, 24 the electron density maps coming from PDB‐redo.…”
Section: Methodsmentioning
confidence: 99%
“…Geometrical features of the N‐acetyl group were calculated using in‐house python scripts, the calculation of the Cremer and Pople angle being implemented as proposed by Hill and Reilly 23 . Real‐space correlation coefficients (RSCCs) of the β‐D‐GlcNAc units were calculated with Privateer, 24 the electron density maps coming from PDB‐redo.…”
Section: Methodsmentioning
confidence: 99%
“…Cremer−Pople coordinates were used to assign ring puckers. 22,23 Energetics, ring puckers, and coordinates of the reoptimized structures can be found in the Supporting Information.…”
mentioning
confidence: 99%
“…This is because glycoside chemistry is largely the chemistry of the oxocarbenium ion formed in the transition state (TS) that displays an enormous range of conformational ring deformation [52]. Numerous descriptions of ring puckering have been proposed [53] and are in popular use [54], we found the triangular decomposition [55] to be particularly amenable to the FEARCF method [16,56]. The ring puckering for a 6-membered ring can be described in terms of the relative orientation of planes made up of three atoms each.…”
Section: Application To Ring Puckeringmentioning
confidence: 98%