Export bibliographic data
Literature by the same author
on the publication server

# Electron densities by the maximum entropy method (MEM) for various types of prior densities : a case study on three amino acids and a tripeptide

## Title data

Prathapa, Siriyara Jagannatha ; Mondal, Swastik ; van Smaalen, Sander:
Electron densities by the maximum entropy method (MEM) for various types of prior densities : a case study on three amino acids and a tripeptide.
In: Acta Crystallographica Section B. Vol. 69 (April 2013) Issue 2 . - pp. 203-213.
ISSN 2052-5206
DOI: https://doi.org/10.1107/S2052519213004879

Official URL:

## Project information

Project financing: Deutsche Forschungsgemeinschaft

## Abstract in another language

Dynamic model densities according to Mondal \it et al. (2012), {\it Acta Cryst.} A{\bf 68}, 568{--}581 are presented for independent atom models (IAM), IAMs after high-order refinements (IAM-HO), invariom (INV) models and multipole (MP) models of {$\alpha$}-glycine, {\sc dl}-serine, {\sc l}-alanine and Ala{--}Tyr{--}Ala at {\it T} {$\simeq$} 20K. Each dynamic model density is used as prior in the calculation of electron density according to the maximum entropy method (MEM). We show that at the bond-critical points (BCPs) of covalent C{---}C and C{---}N bonds the IAM-HO and INV priors produce reliable MEM density maps, including reliable values for the density and its Laplacian. The agreement between these MEM density maps and dynamic MP density maps is less good for polar C{---}O bonds, which is explained by the large spread of values of topological descriptors of C{---}O bonds in static MP densities. The density and Laplacian at BCPs of hydrogen bonds have similar values in MEM density maps obtained with all four kinds of prior densities. This feature is related to the smaller spatial variation of the densities in these regions, as expressed by small magnitudes of the Laplacians and the densities. It is concluded that the use of the IAM-HO prior instead of the IAM prior leads to improved MEM density maps. This observation shows interesting parallels to MP refinements, where the use of the IAM-HO as an initial model is the accepted procedure for solving MP parameters. A deconvolution of thermal motion and static density that is better than the deconvolution of the IAM appears to be necessary in order to arrive at the best MP models as well as at the best MEM densities.

## Further data

Item Type: Article in a journal Yes electron densities; maximum entropy method; prior densities; amino acids; tripeptides; independent atom models; high-order refinements. Faculties > Faculty of Mathematics, Physics und Computer Science > Group Material Sciences > Chair CrystallographyFaculties > Faculty of Mathematics, Physics und Computer Science > Group Material SciencesFacultiesFaculties > Faculty of Mathematics, Physics und Computer Science Yes 500 Science > 530 Physics 12 Feb 2015 08:58 12 Feb 2015 08:58 https://eref.uni-bayreuth.de/id/eprint/6715