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Original article
12 (
8
); 4522-4532
doi:
10.1016/j.arabjc.2016.07.011

UV-Visible spectroscopy and density functional study of solvent effect on halogen bonded charge-transfer complex of 2-Chloropyridine and iodine monochloride

Department of Chemistry, Dibrugarh University, Dibrugarh, Assam 786004, India

⁎Corresponding author. gogoipallavi@yahoo.com (Pallavi Gogoi)

Disclaimer:
This article was originally published by Elsevier and was migrated to Scientific Scholar after the change of Publisher.

Peer review under responsibility of King Saud University.

Abstract

2-Chloropyridine and Iodine monochloride form 1:1 n → σ charge transfer complex which is confirmed by Benesi Hildebrand plot using UV-vis spectroscopy. Multiple Linear Regression Technique (MLRT) shows that 2-Chloropyridine-ICl complex is susceptible to medium effect in reference to different solvent parameters, at both the bulk and molecular levels. Dielectric constant (), refractive index (n), Hansen parameter, Catalan parameter and Kamlet’s π values give good linear fit equations between experimental and calculated CT bands with R2 values as high as 1. Polarizability effect on the CT band is examined using Buckingham and Lippert Mataga equation. Formation constant of the complex in different mediais found to be linearly dependent on Hansen solubility parameter. Computational analysis defends well the blue shift in polar medium observed for 2-Chloropyridine-ICl. NBO, NRT, and QTAIM analyses explain a shift from ionic character to covalent character in polar medium. It emphasises a stronger donor acceptor interaction in polar medium and thereby explains the experimentally observed blue shift. A logarithmic relation between the bond lengths of the bridging atoms and dielectric constant is proposed.

Keywords

MLRT
Solvent parameter
NBO
NRT
QTAIM
1

1 Introduction

Charge transfer (CT) complexes are formed when electron transfer occurs from one compound to another. The former compound is called the donor (D) and the latter is called the acceptor (A) (Mulliken, 1952, 1956; Mulliken and Pearson, 1969). Appearance of a new band with those of donor and acceptor bands in the electronic spectra of the donor and acceptor together in solution, confirms the formation of a new CT compound which is capable of absorbing in the UV-vis region of the spectrum (Benesi and Hildebrand, 1949). Such bands are thus termed as CT bands. CT bands are formed for the electronic transition from the ground state complex [D, A] to the dative excited state [D+, A] (Vasilyev et al., 2001). Depending on the type of molecular orbital involved during the electronic transition, CT complexes are classified accordingly (Guryanova et al., 1975). In the recent years, considerable interest is given to charge-transfer complexes, due to their vast application in the field of organic electronics, such as in organic solar cells and in light-emitting diodes (Walzer et al., 2007; Gunes et al., 2007).

Halogen bonds are also a kind of electron donor-acceptor interaction, in which a halogen atom X interacts with an atom, Y, with an excess of electron charge density and are denoted by RX−X···Y−RY formulae (Matter et al., 2009; Politzer et al., 2007, 2010; Lu et al., 2009). One such donor acceptor interaction is observed in case of 2-Chloropyridine and Iodine monochloride. 2-Chloropyridine is an important chemical as an insecticide, microbiocide, molluscicide, nematicide, Insect Growth Regulator, etc (Shimizu et al., 2012). It is also used in the preparation of antihistaminic agent pheniramines (Botteghi et al., 1994). Iodine monochloride is basically used in determining the Iodine number of fats, fatty acids, oils and various organic solvents by Wij’s method. Moreover it is used as an iodinating agent to produce pharmaceuticals, in enhancing the conductivity of carbon nanotube wires and also in the synthesis of graphene (Xiong et al., 1999; Lahyani and Trabelsi, 2016; Janas et al., 2014; Jadaun et al., 2013). 2-Chloropyridine-ICl CT complex is formed by the transfer of electron from the lone pair on nitrogen atom of the pyridine ring to the antibonding σ orbital of the ICl molecule. Formation of the CT complex is confirmed by electronic spectroscopy.

Solvatochromism is a significant behaviour of CT complexes observed. Many solute-solvent interaction types are held responsible for the preferential blue or red shift observed for a CT band in polar medium (Basavaraja et al., 2015; Taft and Kamlet, 1976; Kamlet et al., 1979; Kamlet and Taft, 1979). Several solvent parameters are formulated to define the type of interaction responsible for the Solvatochromic shift (Catalan, 2009; Hansen, 1967). Kamlet’s Linear Solvation Energy Relationship is a landmark in determining the partial effect of different parameters on the spectroscopic parameter of a CT band. Nowadays, it is possible to analyse simultaneous effect of different solvent parameters on the spectroscopic behaviour with the help of Multiple Linear Regression Technique (MLRT) (Hmuda et al., 2013).

Besides solvent effect study, recently, density functional theory (DFT) has been extensively used in chemistry and physics to study the ground and excited state properties of molecular systems (Kohn and Sham, 1965). In a conventional DFT calculation, Kohn-Sham (KS) equation is iteratively solved by using various exchange-correlation functionals which are of LDA, GGA and hybrid types. However, failure of conventional density functional in predicting some ground and excited state properties is recently reported (Tozer and Handy, 1998; Tozer et al., 1999; Dreuw et al., 2003). To overcome the drawback of conventional density functional, range-separated density functional is developed in which the electron–electron repulsion term is split into long-range interaction term (first term in Eq. (1)) which describes the long-range exchange interaction using the Hartree–Fock exchange (HF) integral and short-range interaction term (second term in Eq. (1)) which includes the DFT exchange functional (Savin, 1996; Leininger et al., 1997). Range-separated density functionals are found to reproduce nonlinear optical properties, reaction barrier height, charge-transfer excitation, Rydberg excitation and van der Waals interactions (Iikura et al., 2001; Tawada et al., 2004; Vydrov and Scuseria, 2006; Peverati and Truhlar, 2012; Sekino et al., 2007; Tsai et al., 2013).

(1)
1 r 12 = erf ( μ r 12 ) r 12 + erfc ( μ r 12 ) r 12 where μ is the range–separation parameter.

We have approached both experimentally and theoretically to study spectroscopic behaviour of 2-Chloropyridine-ICl complex in the UV-vis region in different solvent media.

2

2 Experimental details

UV–Visible spectra of the charge transfer complex in different media are recorded in a Shimadzu UV-1700 PharmaSpec UV-vis spectrophotometer. All the five solvents Carbon tetrachloride, Cyclohexane, n-Hexane, Chloroform and Dichloromethane used are from Merck with percentage purity of 97–99%. The solvents are distilled at their boiling points for spectroscopic purpose. 2-Chloropyridine used is from Fluka (98%) with a density of 1.209 gml−1. Iodine monochloride (98%) is used from CDH. Percentage purity and density values are included in the calculations while preparing quantitative solutions of the compounds.

The sample solutions for recording UV-vis spectra are prepared as reported earlier (Mckinney and Popov, 1969; Lyatajka et al., 1977; Augdahl and Klaeboe, 1965; Subhani et al., 2008; Refat et al., 2013).

3

3 Computational details

Geometries of all the stationary points are fully optimised at gas phase and in solvent medium using LC-BLYP (Iikura et al., 2001) functional and 6-31++G(d,p) basis set for main group elements and LANL2DZ for I atom. This chosen basis set is recently being used to study the charge-transfer transition energy of the mesitylene-ICl complexes (Tiwary and Mukherjee, 2009). Frequency calculations are performed at the same level of theory to confirm the stationary point as minimum. The conductor like screening model (COSMO) is used for the calculations in the solvent medium. Geometry optimisation and frequency calculations are performed at GAMESS software (Schmidt et al., 1993). Moreover, natural bond orbital (NBO) and quantum theory of atom in molecule are performed using NBO6 (Glendening et al., 2013) and multiwfn suite of program respectively.

4

4 Results and discussion

4.1

4.1 Experimental analysis

4.1.1

4.1.1 Spectral properties of the acceptor, donor and the complex formed in solution

2-Chloropyridine and ICl both are soluble in all the five solvents used in this study. Solution of 2-Chloropyridine in all the solvents is colourless while that of ICl is light brownish. Gradual addition of 2-Chloropyridine solution to the ICl solution results in lightening of brown colour of ICl up to different extents indicating the formation of a new compound (Refat et al., 2013). Pure ICl absorbs at 453.2 nm and 2-Chloropyridine absorbs at 256.2 nm in chloroform. When these two are mixed a new band appears at 324 nm which is neither the characteristic of ICl or of 2-Chloropyridine. Appearance of this band confirms the formation of the charge transfer complex between ICl and 2-Chloropyridine (Fig. 1). Similar observations are obtained for the other four solvents (Fig. 2). From the UV-vis spectra the stoichiometry of the complex formed is found to be 1:1 using the modified Benesi-Hildebrand plot which gives straight lines for all the five solvents considered (Fig. 3).

UV-vis spectra of 2-Chloropyridine and ICl in Chloroform at 25 °C for 1 cm cell. The concentrations of 2-Chloropyridine (M) are (1) zero; (2) 0.1054; (3) 0.3162; (4) 0.527; (5) 0.7378; (6) 0.9486.
Figure 1
UV-vis spectra of 2-Chloropyridine and ICl in Chloroform at 25 °C for 1 cm cell. The concentrations of 2-Chloropyridine (M) are (1) zero; (2) 0.1054; (3) 0.3162; (4) 0.527; (5) 0.7378; (6) 0.9486.
UV-vis spectra of 2-Chloropyridine-ICl charge transfer complex in (a) Hexane, (b) CCl4, (c) CH2Cl2 and (d) Cyclohexane at 25 °C in 1 cm cell. The concentration of ICl is kept constant and that of 2-Chloropyridine is varied. The concentrations of 2-Chloropyridine (M) are (a) Hexane: (1) zero; (2) 0.06999; (3) 0.20997; (4) 0.34995; (5) 0.48993; (6) 0.62991. (b) CCl4: (1) zero; (2) 0.0351; (3) 0.0763; (4) 0.1053; (5) 0.1755; (6) 0.3159. (c) CH2Cl2: (1) zero; (2) 0.1054; (3) 0.3162; (4) 0.527; (5) 0.7378; (6) 0.9486. (d) Cyclohexane: (1) zero; (2) 0.06999; (3) 0.20997; (4) 0.34995; (5) 0.48993; (6) 0.62991.
Figure 2
UV-vis spectra of 2-Chloropyridine-ICl charge transfer complex in (a) Hexane, (b) CCl4, (c) CH2Cl2 and (d) Cyclohexane at 25 °C in 1 cm cell. The concentration of ICl is kept constant and that of 2-Chloropyridine is varied. The concentrations of 2-Chloropyridine (M) are (a) Hexane: (1) zero; (2) 0.06999; (3) 0.20997; (4) 0.34995; (5) 0.48993; (6) 0.62991. (b) CCl4: (1) zero; (2) 0.0351; (3) 0.0763; (4) 0.1053; (5) 0.1755; (6) 0.3159. (c) CH2Cl2: (1) zero; (2) 0.1054; (3) 0.3162; (4) 0.527; (5) 0.7378; (6) 0.9486. (d) Cyclohexane: (1) zero; (2) 0.06999; (3) 0.20997; (4) 0.34995; (5) 0.48993; (6) 0.62991.
Modified Benesi-Hildebrand plot for 2-Chloropyridine-ICl complex in CHCl3.
Figure 3
Modified Benesi-Hildebrand plot for 2-Chloropyridine-ICl complex in CHCl3.

Table 1 lists the physical data such as CT absorption band wavelength (λmax), Extinction coefficient (εmax), Formation constant (KC), Energy of the CT band (ΔECT), Ionisation Potential of the donor in the complex (Ip), Dissociation Energy (W), Resonance Energy of the complex in the ground state (RN), and the Gibbs free energy change (ΔG) at the experimental temperature. These values are calculated with the help of established equations (Razzaq et al., 2008). The Ionisation potential values of the donor match nicely with the previously calculated values by electron impact method (Basila and Clancy, 1963).

Table 1 Spectroscopic and physical parameters of 2-Chloropyridine-ICl.
Solvent ε n λmax(CT) (in nm) εmax (in L mol−1 cm−1) Kc (in L mol−1) ΔECT (in eV) Ip (in eV) W (in eV) R N × 10 12 (in eV) ΔG0 (KJ/mol)
COMPOUND: 2-Chloropyridine-ICl
n-C6H14 1.890 1.3749 340.2 269.54 6.51 3.646053 10.23 5.15 12.78 37.14
CycloC6H14 2.023 1.4262 334.0 1000.00 100.00 3.713734 10.31 5.17 48.29 570.58
CCl4 2.238 1.4630 330.4 200.00 125.00 3.754171 10.36 5.18 9.77 713.23
CHCl3 4.806 1.4457 324.0 111.11 9.00 3.828365 10.45 5.19 5.53 51.35
CH2Cl2 9.080 1.4235 322.8 333.33 37.50 3.842592 10.47 5.20 1.67 213.97

Table 1 clearly shows the dependence of the λmax value on the dielectric constant value of the experimental solvents. Similarly all the parameters linked with λmax vary accordingly. It is already reported that increasing solvent polarity affects the Charge Transfer Energy by solvating the energy levels up to different extents. Lowering of the LUMO in the energy axis or stabilizing it more as compared to the HOMO, may lead to an increase in the charge transfer transition energy (ΔECT). It may occur as a result of more polar nature of the LUMO which leads to more solvation of the LUMO and as a result it gets stabilized to a greater extent. Moreover a blue shift of λmax indicates n-σ transition. It establishes the formation of the 2-Chloropyridine-ICl complex through the lone pair on N atom as is found in case of Iodine forming compounds with lone pair donors (Kamlet et al., 1979; Salman et al., 2004).

4.1.2

4.1.2 Quantitative estimation of effect of solvent parameters upon CT band by MLRT

The solvent parameters for the solvents under study are in Table 2. Solvatochromic study of CT band is done in a large scale in varieties of compounds such as drugs, dyes, flavones (Catalan, 2009; Aggarwal and Khurana, 2014; Alimmari et al., 2015; Jovie et al., 2014; Dawoud et al., 2014). MLRT is a recent approach to analyse the dependence of any spectroscopic property (λmax, Δ ν ¯ etc.) of a compound on various solvent parameters (Hmuda et al., 2013; Alimmari et al., 2015; Zakerhamidi et al., 2012). In this study, MLRT is applied using Excel 2007 at the 95% confidence level. We have examined the dependence of λmax on the solvent parameters under study. Among the solvent parameters we have selected ε, n, πvalue, Hansen parameters and Catalan parameters. ε and n determine solute-solvent interaction considering bulk environment whereas the rest three indicates solute-solvent interaction at the molecular level. The regression plot of λmax (exp.) against λmax (calc.) (Fig. 4) shows that Hansen parameters have excellent correlation with the λmax value with R2 value of 1. The result of regression analysis is shown in Table 3.

Table 2 Different solvent parameters.
Solvent λmax (nm) ε n π Hansen solubility parameter (MPa1/2) Catalan solvent parameters
δD δP δH SPP SB SA
n-C6H14 340.2 1.890 1.3749 −0.04 14.9 0.0 0.0 0.519 0.056 0.000
CycloC6H14 334.0 2.023 1.4262 0.00 16.8 0.0 0.2 0.557 0.073 0.000
CCl4 330.4 2.238 1.4630 0.28 17.8 0.0 0.6 0.632 0.044 0.000
CHCl3 324.0 4.806 1.4457 0.58 17.8 3.1 5.7 0.786 0.071 0.047
CH2Cl2 322.8 9.080 1.4235 0.82 18.2 6.3 6.1 0.876 0.178 0.040
Calculated λmax Vs experimental λmax plots w. r. t. (a) ε and n, (b) ε, n, π∗, (c) Hansen solubility parameters, (d) Catalan parameters.
Figure 4
Calculated λmax Vs experimental λmax plots w. r. t. (a) ε and n, (b) ε, n, π, (c) Hansen solubility parameters, (d) Catalan parameters.
Table 3 Result of regression analysis for λmax and KC of CT band.
Parameter Independent parameters Linear equation R2 Comment
λmax ε, n λmax = 509.43 − 1.74ε − 120.68n 0.953 Regression valid
ε, n, π λmax = 448.88 − 0.52ε − 79.04n − 11.48π 0.969 Regression valid
Hansen solubility parameter λmax = 386.39 − 3.10δD + 0.18δP − 1.36δH 1.000 Excellent regression
Catalan parameters λmax = 370.80 − 67.47SPP + 43.35SB + 74.46SA 0.951 Regression valid
KC ε, n KC = −1399.52 − 7.469ε + 1040.93n 0.525 Regression invalid
ε, n, π KC = −3519.03 + 35.43ε + 2498.47n − 40.99π 0.888 Regression poor
Hansen solubility parameter KC = −697.374 + 47.397δD + 6.71δP − 27.83δH 0.993 Good regression
Catalan parameters KC = −312.509 + 739.62 SPP − 550.73 SB − 4822 SA 0.749 Regression invalid

Table 3 shows that Solvatochromic shift is largely dependent on solute–solvent interaction at the molecular level. Similar Regression analysis with the Formation Constant value is also done. Although formation constant value of a CT complex is reported to show variation with the changing polarity no specific change is reported till now (Refat et al., 2010). Table 1 shows irregular variation in the values of Kc with polarity. Thus we tried to check whether Kc is a multi parameter dependent characteristic rather than being dependent solely upon the solvent polarity or dielectric constant value. In case of Formation constant too Fig. 5 shows that it is dependent on Hansen parameters with a high R2 value of 0.993 and it is completely independent of bulk parameters. Although we have performed MLRT considering a linear relation to exist between the Formation Constant of the CT complex and the solvent parameters and we are obtaining quite satisfactory result for the Hansen parameters, still we cannot put forward a conclusive remark on that until and unless we perform similar tests with other CT complexes in different media. Since it is beyond the scope of this paper to include a large number of such complexes, we propose to examine our approach in our future works.

Calculated KC Vs experimental KC plots w. r. t. (a) ε and n, (b) ε, n, π∗, Hansen solubility parameters, (d) Catalan parameters.
Figure 5
Calculated KC Vs experimental KC plots w. r. t. (a) ε and n, (b) ε, n, π, Hansen solubility parameters, (d) Catalan parameters.

4.1.3

4.1.3 Validity of Buckingham and Lippert Mataga equation

Buckingham equation relates Spectroscopic Property (Δ ν ¯ in our case) with the function of dielectric constant f(ε) and the function of refractive index, f(n) as given in Eq. (2).

(2)
XYZ = XYZ 0 + c 1 ( ε - 1 ) ( 2 ε + 1 ) + c 2 ( n 2 - 1 ) ( 2 n 2 + 1 ) A 3D plot of Δ ν ¯ , f(ε) and f(n) show the dependence of Δ ν ¯ on f(ε) and f(n) in Fig. 6.
3D plot for Buckingham equation.
Figure 6
3D plot for Buckingham equation.

Combination of f(ε) and f(n) together is called as Orientation Polarizability. Lippert Mataga equation (Reichardt and Welton, 2011) shows a linear correlation between Frequency Shift (Change in position of CT band from the respective acceptor) and the Orientation Polarizability of corresponding solvents. Fig. 7 shows good linear correlation between frequency shift and Orientation Polarizability with R2 value of 0.971.

Graphical plot for Lippert Mataga equation.
Figure 7
Graphical plot for Lippert Mataga equation.

4.2

4.2 Computational analysis

4.2.1

4.2.1 Molecular geometries

The optimised geometries of 2-Chloropyridine-ICl in all the media are shown in Fig. 8 whereas selected geometrical parameters are tabulated in Table 4. It is seen from Fig. 8 that the Cl atom of acceptor ICl molecule stays a bit away from the substituent Cl atom in the donor 2-Chloropyridine molecule with an angle greater than 1200. The reason may be the steric repulsion between the two Cl atoms. Moreover, it is seen from Table 4 that the <C(6)N(1)I(11) angle decreases with increase in dielectric constant of the solvent. However, this decrease in the angle is not very large. For instance, <C(6)N(1)I(11) angle in gas phase and CH2Cl2 solvent with dielectric constant 9.08 are 127.89° and 125.85° respectively. This observation may be attributed to slight decrease in steric repulsion between the two Cl atoms with solvent polarity. Moreover, inspection of N–I and I–Cl bond length from Table 4 indicates that N–I bond length decreases with the increasing dielectric constant of the solvent and the I–Cl bond distance increases with the increasing solvent dielectric constant. The N–I bond length in the gas phase and the increase in the I–Cl bond length due to complexation in the gas phase are close to those of previously reported values for Pyridine-I2 CT complex (Reichardt and Welton, 2011).

Optimized geometries of 2-Chloropyridine-ICl.
Figure 8
Optimized geometries of 2-Chloropyridine-ICl.
Table 4 Geometric parameters of 2-Chloropyridine-ICl in different media (Bond lengths are in A° and bond angles are in degrees).
Gas phase n-C6H14 (1.890) CycloC6H14 (2.023) CCl4 (2.238) CHCl3 (4.806) CH2Cl2 (9.080)
rN–I 2.620 2.540 2.530 2.520 2.410 2.340
rI–Cl in the complex 2.430 2.450 2.460 2.460 2.520 2.570
rICl in free state 2.366 2.371 2.372 2.372 2.379 2.384
ΔrICl 0.064 0.079 0.088 0.088 0.141 0.230
<C(6)N(1)I(11) 127.890 127.290 127.220 127.130 126.380 125.850

Decrease in the bond length between the bridging atoms of donor and acceptor molecules with complexation and the increasing polarity of the mediums is already reported for similar compounds (Tiwary and Mukherjee, 2009; Reiling et al., 1997; Tiwary et al., 2008). From Table 4 and previous reports we thus can conclude a stronger donor acceptor interaction in polar medium.

We have tried to examine the probability of a quantitative relation between the N–I and I–Cl bond length with that of dielectric constant. Thus we made a plot of bond length against dielectric constant values for both the selected bonds under study. Satisfactorily we obtain a logarithmic relation between the bond length values with the corresponding dielectric constant values of the medium as seen in Fig. 9 with an R2 value of 0.997 for both the plots.

Dielectric constant of medium against bond length, (a) dielectric constant against rN–I, (b) dielectric constant against rI–Cl.
Figure 9
Dielectric constant of medium against bond length, (a) dielectric constant against rN–I, (b) dielectric constant against rI–Cl.

4.2.2

4.2.2 Natural bond orbital analysis

A single best Lewis type description of the total electron density is obtained from Natural Bond Orbital (NBO) calculations. Therefore, to understand the bonding between 2-Chloropyridine and ICl, we have performed NBO calculation on the complex between 2-Chloropyridine and ICl. In Table 5, we have tabulated the electron occupancy of the lone pair (LP) of the nitrogen and electron occupancy of valence antibond (BD) of N–I. Moreover, the interaction energy (E(2)) between LP of N and BD of N–I from second order perturbation analysis is also tabulated in Table 5. It is observed that electron occupancy of LP of N decreases with increase in solvent polarity. For instance, electron occupancy of LP of N in gas phase and in CH2Cl2 solvent is 1.83e and 1.73e respectively. On the other hand, electron occupancy of BD of N–I increases with increase in the solvent polarity. This behaviour indicates that electron transfer from LP of N takes place and BD of N–I increases with the increase in solvent polarity. On inspection of E(2) values from Table 5, it is clear that stabilization interaction between LP of N and BD of N–I increases with the increase in the solvent polarity.

Table 5 NBO analysis.
Medium Dielectric constant Occupancy of LP of nitrogen Occupancy of BD N–I E(2) (kJ/mol)
Gas 1.83 0.11 158.172
n-C6H14 1.890 1.81 0.14 209.244
CycloC6H14 2.023 1.80 0.14 215.964
CCl4 2.238 1.80 0.15 226.632
CHCl3 4.806 1.76 0.20 324.744
CH2Cl2 9.080 1.73 0.24 411.768

4.2.3

4.2.3 Natural resonance theory analysis

Natural resonance Theory is performed to analyse the total electron density in terms of a series of idealised resonance forms. Moreover, NRT theory provides the percentage of ionic (%ionic) and covalent (%covalent) character in a bond. The %ionic and %covalent characters are tabulated in Table 6. It is observed that in gas phase, the N–I bond is almost ionic (∼94%). With increase in solvent polarity, %ionic character decreases whereas %covalent character increases. For instance, in hexane, %ionic and %covalent characters are 92.41 and 7.59 respectively, whereas in CH2Cl2, %ionic and %covalent are 74.63 and 25.37 respectively. The decrease in %ionic and increase in %covalent indicates increase in stability of N–I bond with solvent polarity.

Table 6 NRT analysis.
Medium Dielectric constant %ionic %covalent
Gas 93.90 6.10
n-C6H14 1.890 92.41 7.59
CycloC6H14 2.023 92.14 7.86
CCl4 2.238 91.89 8.11
CHCl3 4.806 89.49 10.51
CH2Cl2 9.080 74.63 25.37

4.2.4

4.2.4 Natural energy decomposition analysis

To decompose the interaction energy (IE) to a sum of physically meaningful term, we have performed Natural Energy Decomposition Analysis (NEDA) by Glendenning and coworkers (Glendening et al., 2013). In Table 7, we have tabulated IE, Energy of charge transfer (ECT) and Polarisation Energy (EPOL). It is seen from Table 7 that IE in gas phase is −47.99 kJ/mol. However, in hexane solvent with dielectric constant 1.89, IE drastically increases to −261.75 kJ/mol and in CH2Cl2 solvent with dielectric constant 9.08 IE increases to −1099.09 kJ/mol. This indicates that interaction energy increases with the increase in the solvent polarity. Inspecting the ECT terms from Table 7, it is inferred that charge-transfer increases with the increase in the solvent polarity. Similar to ECT, EPOL term also increases with the increase in the solvent polarity. However, the variation of EPOL with solvent polarity is small, as compared to ECT. For instance, ECT and EPOL in hexane solvent with dielectric constant 1.89 are −283.05 and −120.33 kJ/mol respectively, whereas ECT and EPOL in CH2Cl2 solvent with dielectric constant 9.08 are −754.67 and −217.69 kJ/mol respectively.

Table 7 NEDA results.
Medium Dielectric constant λmax(CT) nm IE (kJ/mol) ECT (kJ/mol) EPOL (kJ/mol) ES (kJ/mol)
Gas −47.99 −136.44 −93.62 −90.89
n-C6H14 1.890 340.2 −261.75 −283.05 −120.33 −619.96
CycloC6H14 2.023 334.0 −290.33 −301.08 −123.73 −678.26
CCl4 2.238 330.4 −335.05 −329.07 −129.11 −765.58
CHCl3 4.806 324.0 −737.89 −566.05 −176.86 −1385.12
CH2Cl2 9.080 322.8 −1099.09 −754.67 −217.69 −1782.61

4.2.5

4.2.5 QTAIM analysis

QTAIM analysis has been performed to analyse halogen bonded interaction between 2-Chloropyridine and ICl. The properties of the (3,−1) Bond Critical Point (BCP) between two atoms indicate the types of interaction between the two atoms. The various properties of BCP between N atom of 2-Chloropyridine and ICl are tabulated in Table 8. According to QTAIM, electron density (ρ(r)), Laplacian of electron density ( 2 ρ ( r ) ) and electronic energy density (H(r)) at BCP are valuable parameters for probing the nature of the bond (Bader, 1990, 1991). Generally, for covalent interactions, ρ(r) is large, while 2 ρ ( r ) is large and negative. On the other hand, for ionic interaction, ρ(r) is small, while 2 ρ ( r ) is positive. Moreover, the magnitude of H(r) reflects the covalence of interaction. A negative value of H(r) indicates a significant covalent contribution while a positive value of H(r) indicates a significant ionic contribution. It is observed from Table 8 that in gas phase, ρ(r) is small, and 2 ρ ( r ) is positive, which indicates that the interaction between 2-Chloropyridine and ICl is ionic. However, H(r) is negative, which indicates that there is also covalent contribution to the interaction. As expected, ρ(r) increases with increase in dielectric constant, whereas H(r) becomes more negative with increase in dielectric constant. This infers that, covalent contribution to the interaction increases with increase in dielectric constant.

Table 8 QTAIM analysis.
Medium Gas n-C6H14 CycloC6H14 CCl4 CHCl3 CH2Cl2
Dielectric constant 1.890 2.023 2.238 4.806 9.080
Density of all electrons [ρ(r)] 0.035300 0.040906 0.0415850 0.0426249 0.0513022 0.0574913
Energy density E(r) or H(r): −0.002024 −0.004557 −0.0049174 −0.0054242 −0.0115829 −0.0177615
Laplacian of electron density: ( 2 ρ ( r ) ) 0.099036 0.103057 0.1031923 0.1037647 0.0961936 0.0804155

5

5 Conclusion

Analysis of the experimental and theoretical results confirms the dependence of the λmax (CT) upon polarity of the solvents. The blue shift observed in the presence of polar medium explains the formation of n → σ CT complex between 2-Chloropyridine and ICl. Multiple Linear Regression Analysis shows that the spectroscopic parameter, λmax (CT), depends on the solvent parameters under study and Hansen parameter stands as the best to determine the value of λmax (CT) with an R2 value of 1 for the plot of experimental value of λmax (CT) against calculated value of λmax (CT). Lippert Mataga equation shows good linear correlation between frequency shift and Polarizability term. Theoretical analysis reveals that the bond distance between the bridging atoms of the donor and acceptor decreases with complexation and the ICl bond length increases. Simultaneously theoretical result also shows that complexation increases with solvent polarity since NBO, NRT, QTAIM, analyses show increase in IE as well as covalent character with solvent polarity. Thus more polar nature of the medium indicates stronger donor acceptor interaction in case of 2-Chloropyridine-ICl CT complex which explains the blue shift of λmax (CT) in polar medium. The result that has been proposed for the first time through this paper is the dependence of Formation constant value upon the solvent parameters and the logarithmic relation between the bond length and dielectric constant of the medium. Similar CT complexes are under study and the authors have already proposed the logarithmic relation between bond length and dielectric constant of the solvent medium in their ongoing communications.

Acknowledgements

PG and UM acknowledge the University Grants Commission (UGC) for granting leave on Faculty Development Program to conduct this research work. MPB acknowledges the Council of Scientific and Industrial Research (CSIR), New Delhi, for his research fellowship.

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