Topology of the electronic current density in molecules

Ring current models for acetylene and ethylene molecules

“…Streamline maps of the J B field on planes at right angles to B display circular diamagnetic trajectories with a common centre: the stagnation graph (SG) [55][56][57][58] contains a single stagnation line (SL) representing a diamagnetic axial vortex (AV) [59] that extends to the boundaries of the configuration space, see Fig. 12 of SMA.…”

“…12 of SMA. All the points on this axis are classified as (2,0) in terms of their rank and signature ðr; sÞ [55][56][57][58], and have topological index +1 [60,61].…”

Ringströme im dismutationsaromatischen Si6R6

“…[15] 3) J B erfüllt eine lokale Kontinuitätsbedingung für den Ladungsfluss; [16] folglich kann das Feld graphisch beispielsweise in Form geschlossener Kurven repräsentiert werden. [17] 4) Es sind einige allgemeine mathematische und physikalische Gesetzmäßigkeiten der elektronischen Stromdichtetopologie bekannt, die die topologische Analyse weitgehend vereinfachen.…”

Atomic Response Properties

“…Thorough and correct displays and analyses of J ð1Þ distributions were presented by Keith and Bader [20] based on methods developed elsewhere [5,19], along with pioneering work by Gomes [21].…”