Evidence map›Paper›PMID 21915883›Full record

ArticleJournal of computational chemistry2011

A finite field method for calculating molecular polarizability tensors for arbitrary multipole rank.

Dennis M Elking, Lalith Perera, Robert Duke, Thomas Darden, Lee G Pedersen

Abstract read
In one paragraph

Article in Journal of computational chemistry, 2011. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 5 papers.

0numbers the graph read from it
0cells of the map it votes in
5citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

5 citing papers in PubMed.

  1. Article
  2. Article
  3. Article
  4. Limiting assumptions in molecular modeling: electrostatics.Journal of computer-aided molecular design · 2013
    Article
  5. HPAM: Hirshfeld Partitioned Atomic Multipoles.Computer physics communications · 2012
    Article
4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

5 authors.

Dennis M ElkingUniversity of North Carolina, Department of Chemistry, Chapel Hill, North Carolina 27599, USA.
Lalith Perera
Robert Duke
Thomas Darden
Lee G Pedersen

Funding

THE ROLE OF THE VITAMIN K CYCLE IN COAGULATIONP01HL006350 · NHLBI · UNIV OF NORTH CAROLINA CHAPEL HILL · PI STAFFORD, DARREL W · 1985 to 2013
$17.5M
Macromolecular ModelingZIAES043010 · NIEHS · NATIONAL INSTITUTE OF ENVIRONMENTAL HEALTH SCIENCES · PI PEDERSEN, LEE · 2009 to 2011
$1.3M
Intramural NIH HHS ZIA ES043010NHLBI NIH HHS HL-06350NHLBI NIH HHS P01 HL006350
6 · The paper itself

Abstract

A finite field method for calculating spherical tensor molecular polarizability tensors α(lm;l'm') = ∂Δ(lm)/∂ϕ(l'm')* by numerical derivatives of induced molecular multipole Δ(lm) with respect to gradients of electrostatic potential ϕ(l'm')* is described for arbitrary multipole ranks l and l'. Interconversion formulae for transforming multipole moments and polarizability tensors between spherical and traceless Cartesian tensor conventions are derived. As an example, molecular polarizability tensors up to the hexadecapole-hexadecapole level are calculated for water using the following ab initio methods: Hartree-Fock (HF), Becke three-parameter Lee-Yang-Parr exchange-correlation functional (B3LYP), Møller-Plesset perturbation theory up to second order (MP2), and Coupled Cluster theory with single and double excitations (CCSD). In addition, intermolecular electrostatic and polarization energies calculated by molecular multipoles and polarizability tensors are compared with ab initio reference values calculated by the Reduced Variation Space method for several randomly oriented small molecule dimers separated by a large distance. It is discussed how higher order molecular polarizability tensors can be used as a tool for testing and developing new polarization models for future force fields.

Indexed as

Models, MolecularStatic ElectricityElectronsMethodsModels, Theoretical

Identifiers

PMID21915883
PMCPMC3183309

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Registered trials

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.