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Correction: Scaling properties of information-theoretic quantities in density functional reactivity theory

Chunying Rong ab, Tian Lu c, Paul W. Ayers *b, Pratim K. Chattaraj d and Shubin Liu *ae
aKey Laboratory of Chemical Biology and Traditional Chinese Medicine Research (Ministry of Education of China), College of Chemistry and Chemical Engineering, Hunan Normal University, Changsha, Hunan 410081, China
bDepartment of Chemistry, McMaster University, Hamilton, Ontario L8S 4M1, Canada. E-mail: ayers@mcmaster.ca
cBeijing Kein Research Center for Natural Sciences, Beijing 100022, P. R. China
dDepartment of Chemistry and Center for Theoretical Studies, Indian Institute of Technology, Kharagpur 721302, India
eResearch Computing Center, University of North Carolina, Chapel Hill, North Carolina 27599-3420, USA. E-mail: shubin@email.unc.edu

Received 17th March 2015 , Accepted 17th March 2015

First published on 31st March 2015


Abstract

Correction for ‘Scaling properties of information-theoretic quantities in density functional reactivity theory’ by Chunying Rong et al., Phys. Chem. Chem. Phys., 2015, 17, 4977–4988.


The authors would like to amend the text by the following four points:

1. Eqn (19) of the text is in error. The correct formula is as follows:

image file: c5cp90049b-t1.tif

2. Because of (1), numerical results of Sσ in Tables 1 and 2 (column 4) are incorrect. The correct results are shown in Table C1 below, where all data are found to be positive.

Table C1 Shannon entropy with the shape function for 36 neutral atoms and 42 molecular systems. Atomic units
Atom S σ Molecule S σ
H 4.21 CH2[double bond, length as m-dash]CH2 4.14
He 2.74 FHC[double bond, length as m-dash]CH2 3.95
Li 3.66 MeHC[double bond, length as m-dash]CH2 4.51
3.60 CH2[double bond, length as m-dash]CH(CN) 4.33
B 3.38 CH2[double bond, length as m-dash]CH(CHO) 4.35
C 3.10 Butadiene 4.64
N 2.82 F2C[double bond, length as m-dash]CH2 3.94
O 2.57 FHC[double bond, length as m-dash]CHF 3.94
F 2.32 trans-MeHC[double bond, length as m-dash]CHMe 4.78
Ne 2.08 cis-MeHC[double bond, length as m-dash]CHMe 4.78
Na 2.32 Me2C[double bond, length as m-dash]CH2 4.78
Mg 2.38 (CH3O)CH[double bond, length as m-dash]CH2 4.52
Al 2.42 Cyclopentadiene 4.72
Si 2.41 Pyrrole 4.60
P 2.36 2-Methyl-butadiene 4.88
S 2.30 1-Methyl-butadiene 4.88
Cl 2.22 CH2CH[double bond, length as m-dash]CHOBH3 4.77
Ar 2.14 CH2[double bond, length as m-dash]CH(NO2) 4.33
K 2.28 F2C[double bond, length as m-dash]CHF 3.98
Ca 2.34 Me2C[double bond, length as m-dash]CHMe 4.99
Sc 2.28 (Me)2NCH[double bond, length as m-dash]CH2 4.89
Ti 2.20 EtOCH[double bond, length as m-dash]CH2 4.78
V 2.12 (CN)2C[double bond, length as m-dash]CH2 4.54
Cr 1.98 Benzene 4.82
Mn 1.96 CH3COOCH[double bond, length as m-dash]CH2 4.70
Fe 1.81 CH2[double bond, length as m-dash]C(NO2)(NH2) 4.53
Co 1.73 F2C[double bond, length as m-dash]CF2 4.05
Ni 1.66 Me2C[double bond, length as m-dash]CMe2 5.17
Cu 1.58 Maleic anhydride 4.52
Zn 1.56 C6H5–Me 5.03
Ga 1.57 C6H5–F 4.76
Ge 1.57 C6H5–NH2 4.94
As 1.55 C6H5–OH 4.85
Se 1.54 C6H5–CN 4.95
Br 1.51 C6H5–HCO 4.96
Kr 1.48 (EtO)2C[double bond, length as m-dash]CH2 5.18
(CN)2C[double bond, length as m-dash]C(CN)2 4.88
C6H5–NO2 4.94
C6H5–CF3 4.92
C6H5–N(Me)3 5.40
2,3-Diacetoxy-1,3-butadiene 5.31
(C2H5COO)2C[double bond, length as m-dash]CH2 5.38


3. The correct correlation coefficient (R2) and root-mean-square deviation (RMSD) values for Sσ from the least-square-fitting in Table 3 are shown in Table C2.

Table C2 The correlation coefficient R2 and root-mean-square deviation (RMSD) values for Shannon entropy with the shape function, Sσ, at atomic, molecular and atoms-in-molecules levels with AIM, Becke, and Hirshfeld partitioning schemes
S σ Atomic Molecular C H
AIM Becke Hirshfeld AIM Becke Hirshfeld
R 2 0.8010 0.4727 0.9700 0.9290 0.7501 0.9541 0.8956 0.6520
RMSD 0.2917 0.2750 0.0367 0.0295 0.0252 0.0262 0.0277 0.0307


4. Correlation results of Sσ at atoms, molecules and atoms-in-molecules levels shown in Fig. 1a, 2a, 3a, 5a, and 6a are invalidated and should be replaced by the results in Table C2. However, as can be seen from the table, strong correlations at the atoms-in-molecules level are still observed.

The Royal Society of Chemistry apologises for these errors and any consequent inconvenience to authors and readers.


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