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Institution

Karlsruhe Institute of Technology

EducationKarlsruhe, Germany
About: Karlsruhe Institute of Technology is a education organization based out in Karlsruhe, Germany. It is known for research contribution in the topics: Computer science & Catalysis. The organization has 37946 authors who have published 82138 publications receiving 2197068 citations. The organization is also known as: KIT & University of Karlsruhe.


Papers
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Journal ArticleDOI
30 Jun 1995
TL;DR: In this article, an approximate treatment of Coulomb operators based on the expansion of molecular electron densities in atom-centered auxiliary basis sets is proposed. But this approach is not suitable for all atoms and cannot be applied to all atoms.
Abstract: We demonstrate accuracy and computational efficiency resulting from an approximate treatment of Coulomb operators which is based on the expansion of molecular electron densities in atom-centered auxiliary basis sets. This is of special importance in density functional methods which separate the treatment of Coulomb and exchange-correlation terms. Auxiliary basis sets are optimized as much as possible for isolated atoms and then augmented for use in molecular electronic structure calculations. For molecules involving atoms up to Br this typically affects energies by only 10−4 au per atom, and computed structure constants by less than 0.1 pm in bond distances and 0.1° in bond angles.

2,558 citations

Journal ArticleDOI
TL;DR: In this paper, the anomalous Ward identities are shown to satisfy consistency or integrability relations, which restrict their possible form, for the case of SU(3) × SU(1) and for SU(2) + SU (3) + 2.

2,450 citations

Journal ArticleDOI
TL;DR: The results show the importance of taking characteristics of several regions of the recorded electropherogram into account in order to get a robust and reliable prediction of RNA integrity, especially if compared to traditional methods.
Abstract: The integrity of RNA molecules is of paramount importance for experiments that try to reflect the snapshot of gene expression at the moment of RNA extraction. Until recently, there has been no reliable standard for estimating the integrity of RNA samples and the ratio of 28S:18S ribosomal RNA, the common measure for this purpose, has been shown to be inconsistent. The advent of microcapillary electrophoretic RNA separation provides the basis for an automated high-throughput approach, in order to estimate the integrity of RNA samples in an unambiguous way. A method is introduced that automatically selects features from signal measurements and constructs regression models based on a Bayesian learning technique. Feature spaces of different dimensionality are compared in the Bayesian framework, which allows selecting a final feature combination corresponding to models with high posterior probability. This approach is applied to a large collection of electrophoretic RNA measurements recorded with an Agilent 2100 bioanalyzer to extract an algorithm that describes RNA integrity. The resulting algorithm is a user-independent, automated and reliable procedure for standardization of RNA quality control that allows the calculation of an RNA integrity number (RIN). Our results show the importance of taking characteristics of several regions of the recorded electropherogram into account in order to get a robust and reliable prediction of RNA integrity, especially if compared to traditional methods.

2,406 citations

Journal ArticleDOI
TL;DR: In this article, a variational procedure is proposed and applied to optimize auxiliary bases for main group and transition metal atoms which are tested for more than 350 molecules and the RI approximation affects molecular MP2 energies by less than 60 μEh per atom and equilibrium distances by 0.2 pm.

2,392 citations

Journal ArticleDOI
TL;DR: In this article, supergauge transformations are defined in four space-time dimensions and their commutators are shown to generate γ5 transformations and conformal transformations, respectively.

2,326 citations


Authors

Showing all 38468 results

NameH-indexPapersCitations
Hyun-Chul Kim1764076183227
Yury Gogotsi171956144520
Marc Weber1672716153502
Chad A. Mirkin1641078134254
J. S. Lange1602083145919
Hannes Jung1592069125069
Wolfgang Wagner1562342123391
Vivek Sharma1503030136228
Teresa Lenz1501718114725
Andreas Pfeiffer1491756131080
Daniel Bloch1451819119556
Th. Müller1441798125843
Martin Erdmann1441562100470
Tim Adye1431898109010
Daniela Bortoletto1431883108433
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Performance
Metrics
No. of papers from the Institution in previous years
YearPapers
2023412
2022828
20214,635
20204,874
20194,830
20184,412