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Positive value of the Laplacian at BCP and its correlation with interaction energies constitutes the third condition.
One of the most important electronic property at BCP is the Laplacian of electron density, ∇2 ρ(r ).
Because at BCP the kinetic and potential energy densities depend exponentially on the distance between hydrogen atom and the HB acceptor, a correlation was found between the energy of the hydrogen bond and potential energy density [35]: E H B = 1 2 V r C P (4).
AT4G26440 (aTWRKY34, a member of WRKY transcription factor family), which gene expression has been detected in anther and pollen tube cell [ 28], is activated at BCP.
Cluster 3 (c3), of 333 transcripts, began to be up-regulated in UNMs, peaked at BCP and TCP, and decreased thereafter.
As a member of heat stress transcription factor family, AT3G63350 (hasA7beenashownn shown to be expressed during the fourth anthesis stage [ 28], and down-regulated at BCP, HP stage and eventually return to its base level.
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In order to extract chemical information on the bond, such as its strength, order, polarity etc., properties evaluated at BCPs are crucial.
Important metrics of the bond strength and character are the electron density at the BCP, ρ(r BCP), and the Laplacian of the electron density at the BCP, ∇ρ(r BCP), which itself represents the 3 × 3 Hessian matrix of second partial derivatives of the electron density with respect to the coordinates.
Useful metrics of the bond strength and character are the electron density at the BCP, ρ(r BCP), and the Laplacian of the electron density at the BCP, ∇ρ(r BCP), which represents the 3 × 3 Hessian matrix of second partial derivatives of the electron density with respect to the coordinates.
"Clearly the markets overreacted," said Paulo Moita Macedo, a vice chairman at Millennium bcp, a Portuguese bank, who as Portugal's top tax official from 2004 to 2007 earned plaudits for revamping the tax collecting system.
It has been shown the ρ at the BCP correlates with the interaction energy and H-bond length [58].
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