ˇ
ˇ
H. Cicak et al. / Journal of Molecular Structure 975 (2010) 115–127
125
Table 7
0.019 to 0.153 a.u.) [59]. Hence, only CAClꢀ ꢀ ꢀO in 3, CAIꢀ ꢀ ꢀO and
CAIꢀ ꢀ ꢀN in 5, CAIꢀ ꢀ ꢀN in 6, CAIꢀ ꢀ ꢀN in 7, and CABrꢀ ꢀ ꢀBr in 8 can
be considered as halogen bonds. Moreover, the dihalogen Brꢀ ꢀ ꢀBr
Topological parameters at H/Xꢀ ꢀ ꢀA BCPs of compounds 3, 5–8.a.
DAH/Xꢀ ꢀ ꢀA
H/Xꢀ ꢀ ꢀA
Compound 3
C4ACl1ꢀ ꢀ ꢀO2
C4ACl1ꢀꢀꢀCl1b
qb
»
2qb
Gb
Vb
Hb
|Vb|/Gb
bonding shows the amphiphilic character of bromine (
equatorial interaction, Fig. 8).
r-hole –
0.0063
0.0039
0.0300
0.0153
0.0060 ꢂ0.0045 0.0015 0.7529
0.0028 ꢂ0.0018 0.0010 0.6363
In all cases, BCPs are characterized by small
qb values, small and
positive
»
2qb values, positive Hb, and with ratio |Vb|/Gb < 1. All
Compound 5
these criteria indicate weak and mainly electrostatic hydrogen
and halogen bonding interactions. Furthermore, we can also eval-
uate their relative strengths since the topological parameters cor-
relate well with the interaction energy. In literature, various
interactions were studied and the linear relationships of the inter-
action energy versus the topological parameters at the BCPs were
obtained [39,59–61]. From those correlations, we have concluded
that interaction energies of hydrogen and halogen bonds in studied
molecules can be classified as weak stabilizing interactions (up to
4 kcal/mol in magnitude) [62]. Among them, NAHꢀ ꢀ ꢀO in 7 is the
strongest.
The same conclusions, i.e. hydrogen and halogen bonding inter-
actions are found from X-ray crystal structure analyses (see Table
3). Hence, we can state that the topological analysis of the DFT
electron density and its results presented here for geometries ta-
ken from the crystal structures may be successfully used to discuss
the nature of hydrogen and halogen bonding interactions.
C11AH11ꢀ ꢀ ꢀN21 0.0125
C21AH21ꢀ ꢀ ꢀO12 0.0104
C15AH15ꢀ ꢀ ꢀO21 0.0077
C25AH25ꢀ ꢀ ꢀO21 0.0084
0.0372
0.0378
0.0245
0.0307
0.0077 ꢂ0.0061 0.0016 0.7899
0.0078 ꢂ0.0061 0.0017 0.7875
0.0053 ꢂ0.0045 0.0008 0.8451
0.0064 ꢂ0.0050 0.0013 0.7925
C16AH16ꢀꢀꢀI21b
C26AH26ꢀꢀꢀI11b
C14AI11ꢀ ꢀ ꢀO11
C24AI21ꢀ ꢀ ꢀN11
0.0054
0.0028
0.0117
0.0171
0.0041
0.0153c 0.0031 ꢂ0.0024 0.0007 0.7699
0.0082c 0.0016 ꢂ0.0011 0.0005 0.7033
0.0383
0.0479
0.0085 ꢂ0.0074 0.0011 0.8738
0.0109 ꢂ0.0098 0.0011 0.9005
b
C14AI11ꢀꢀꢀS21
0.0118c 0.0022 ꢂ0.0015 0.0007 0.6776
Compound 6
N2AH22 Nꢀ ꢀ ꢀS1
C1AH1ꢀ ꢀ ꢀN1
C6AH6ꢀꢀꢀI1b
C3AI1ꢀ ꢀ ꢀN1
0.0100
0.0118
0.0050
0.0126
0.0305
0.0360
0.0063 ꢂ0.0050 0.0013 0.7877
0.0075 ꢂ0.0059 0.0016 0.7911
0.0147c 0.0029 ꢂ0.0022 0.0007 0.7475
0.0355
0.0078 ꢂ0.0067 0.0011 0.8625
Compound 7
N2AH2ꢀ ꢀ ꢀO1
C9AH9Bꢀ ꢀ ꢀO1
C6AH6ꢀꢀꢀI1b
C6AH6ꢀꢀꢀH9Bb
C3AI1ꢀ ꢀ ꢀN1
0.0229
0.0103
0.0052
0.0020
0.0179
0.0963
0.0348
0.0208 ꢂ0.0175 0.0033 0.8414
0.0075 ꢂ0.0064 0.0012 0.8445
0.0148c 0.0030 ꢂ0.0023 0.0007 0.7691
0.0066c 0.0013 ꢂ0.0010 0.0004 0.7315
0.0502
0.0115 ꢂ0.0104 0.0011 0.9069
Compound 8
4. Conclusion
N2AH12 Nꢀ ꢀ ꢀN1 0.0113
N2AH22 Nꢀ ꢀ ꢀN2 0.0140
C1AH1ꢀ ꢀ ꢀBr1 (1) 0.0093
0.0352
0.0403
0.0281
0.0073 ꢂ0.0059 0.0015 0.8007
0.0086 ꢂ0.0072 0.0014 0.8346
0.0057 ꢂ0.0044 0.0013 0.7674
X-ray molecular geometries of investigated 6,7-disubstituted
1,3-benzothiazoles, 3 and 5–8, show no discrepancy from common
molecular geometry of 1,3-benzothiazole and its derivatives. Cal-
culated molecular structures of compounds 3, 5, 6 and 8 are in
agreement with the corresponding X-ray ones, while that of 7 is
different. Gas phase calculations showed that, due to one intramo-
lecular hydrogen CAHꢀ ꢀ ꢀO bond, 7 is planar, while in the crystal
phase two intermolecular NAHꢀ ꢀ ꢀO and CAHꢀ ꢀ ꢀO hydrogen bonds
are formed causing its nonplanarity.
C1AH1ꢀ ꢀ ꢀBr1
0.0046
0.0150c 0.0029 ꢂ0.0021 0.0008 0.7170
(2)b
C4ABr1ꢀꢀꢀS1 (1)b 0.0046c 0.0142c 0.0027 ꢂ0.0019 0.0008 0.6862
C4ABr1ꢀꢀꢀS1 (2)b 0.0013c 0.0040c 0.0007 ꢂ0.0004 0.0003 0.5887
C4ABr1ꢀꢀꢀBr1
0.0069
0.0227
0.0045 ꢂ0.0033 0.0012 0.7315
a
b
c
All unities are given in a.u.
These are not considered as hydrogen or halogen interaction.
Values which are below the limit.
The crystal structures of studied compounds are determined
mostly by weak and dominantly electrostatic hydrogen and halo-
gen bonding interactions. Hydrogen CAHꢀ ꢀ ꢀO/N/Br, NAHꢀ ꢀ ꢀO/N/S
bonds, halogen CAClꢀ ꢀ ꢀO, CAIꢀ ꢀ ꢀO/N bonds and Brꢀ ꢀ ꢀBr interactions
appropriate parameter to gain a deeper understanding of noncova-
lent interactions: when Hb < 0, the interaction is dominantly cova-
lent, but when Hb > 0, the interaction is dominantly electrostatic.
The |Vb|/Gb ratio is even more informative: when |Vb|/Gb > 2, the
interaction is basically covalent, when |Vb|/Gb < 1, the interaction
is basically electrostatic, but when the ratio is in between,
1 < |Vb|/Gb < 2, the interaction is intermediate and need to be con-
sidered as partially covalent and partially electrostatic. The strong
hydrogen and halogen bonds are more covalent in nature, while
the weak ones are mainly electrostatic.
were found. The
p–p interactions participate in additional stabil-
ization of the crystal structures of compounds 3, 5, 6 and 8. The
molecular electrostatic potential maps have indicated possible
hydrogen and halogen bonding interaction sites in structures 3
and 5 (type I), and 6 and 8 (type II). In compounds of the type I
the similar CAClꢀ ꢀ ꢀO (3) and CAIꢀ ꢀ ꢀO and CAIꢀ ꢀ ꢀN (5) halogen
bonding patterns are formed, because chlorine and iodine atoms
are activated by strong electron withdrawing nitro group in ortho
position. Such mono-coordinated halogen bonding interactions
with only one oxygen atom of the nitro group is commonly ob-
served for chlorine, while known tendency of iodine to form bifur-
cated contacts is not observed in studied compounds. In
compounds of the type II, different bonding patterns of halogens
are observed: CAIꢀ ꢀ ꢀN halogen bond in 6, and CAHꢀ ꢀ ꢀBr hydrogen
bond and weak Brꢀ ꢀ ꢀBr dihalogen contact in 8. The most probable
reason for that difference is weaker polar flattening of bromine
than iodine atom. Furthermore, halogens in compounds of the type
II are not additionally activated by good electron withdrawing
group such as nitro group in compounds of the type I.
From the Table 7, it can be seen that obtained qb values for
HBCPs (H stands for hydrogen) are in the range of 0.002–
0.023 a.u., whereas the values of
0.007 to 0.096 a.u. All of these values are not within the common
»
2qb are all positive, ranging from
accepted ranges for H-bonding interactions
(qb ranges from
0.002 to 0.040 a.u.,
39,58]. Some of the
»
»
2qb ranges from 0.020 to 0.150 a.u.) [37–
2qb values are below the bottom limit and
these interactions can not be considered as H-bonds. According
to the results obtained, in crystal structure of 3 there are no H-
bonding interactions, while in the structures 5–8 there are: in 5
four CAHꢀ ꢀ ꢀN/O, in 6 one CAHꢀ ꢀ ꢀN and one NAHꢀ ꢀ ꢀS, in 7 two C/
NAHꢀ ꢀ ꢀO and in 8 one CAHꢀ ꢀ ꢀBr and two NAHꢀ ꢀ ꢀN.
For XBCPs (X stands for halogen),
qb and
»
2qb values are in the
All of the experimentally observed hydrogen and halogen bonds
are confirmed by MEP maps and AIM analysis. Halogen and non-
conventional hydrogen bondings have been shown to be a power-
ful tool in crystal engineering.
range of 0.001–0.018 a.u. and 0.004–0.050 a.u., respectively. Again,
all of these values are not within the ranges for halogen bonding
interactions (qb ranges from 0.006 to 0.049 a.u.,
»
2qb ranges from