Study On The Structures And Interactions Binary System Composed By The Ionic Liquids [Bmim][Ala] and Water /Methanol Using The Vibrational Spectra

various experimental techniques, infrared spectroscopy is a convenient and effective approach for the study of H-bonding interactions at the molecular level. In this paper, the structures and interactions of the [bmim][Ala], [bmim][Ala] and water /Methanol have been systematically studied by density functional theory, the ATR-IR spectra of the [bmim][Ala], [bmim][Ala] and water /Methanol were investigated. The results will be helpful for understanding of these AAILs from the perspective of structure and the AAILs mixtures interactions, and it could provide some important information for the continuous exploitation and application of AAILs.


Introduction
In 2005, Hiroyuki Ohno and his coworkers developed a series of novel amino acid ionic liquids (AAILs) coupling the imidazolium cation with 20 different natural amino acids [1,2]. So that the AAILs become one of the most rapidly growing new research areas of ionic liquids (ILs) [3][4][5]. Its known that ionic liquids have some unique physical and chemical properties which including the negligibly small vapor pressure, high thermal stability, high ionic conductivity, and wide range of solubility [6][7][8][9][10]. As a kind of "green" solvent,the ILs have the potential to replace the traditional industrial molecular solvents [11][12][13].
Except that the unique physical and chemical properties that mentioned above, AAILs also possess the great merit of low costs, biodegradable, and a variety of sources from nature [14,15]. Further functional design for AAILs is also expected carboxyl group or various functional groups on the side chain of the amino acids. Extensive experimental studies have been performed on ILs and AAILs [16][17][18]. However, it is far from enough to summarize a general rule that can predict the physicochemical properties of the ILs for a specific application [19]. Because the features that control the physicochemical properties of ILs remain poorly understood. Thus, it is essential to understand the intermolecular forces and the IL's structure for the development of special and tunable properties of ILs. A set of theoretical methods have now been used to study ILs. Traditional molecular dynamics simulations, first-principles molecular dynamics simulations and electronic structure methods have been applied to ILs to obtain useful information on ILs [19,20].
The presence of water or Methanol in ionic liquids has a large effect on physical properties. There are a number of papers, which have studied the physical properties of binary systems of ionic liquids [21,22]. However, few reports related to the structures and the AAILs mixtures interactions of AAILs at theoretical level have been found, the mechanism of the cation-anion interaction for AAILs has not been fully understood. It is necessary to investigate these interaction systems systematically by theoretical or experimental methods. Among (ATR) cell with 16

Calculations
DFT [23][24][25] calculations were carried out using Gaussian 03 [26] program package. Natural bond orbital (NBO) [27,28] [30][31][32]. All calculations were performed using Gaussian 03 program , except that AIM calculation was performed by AIM 2000 package [33] and used the B3LYP/6-311++G** results as input. To confirm that full geometry optimizations and normal frequency analyses were carried out at each optimized geometry. The normal mode animations were visualized using the Gauss-view program. Normal coordinate analysis was performed to obtain a detailed assignment of the normal vibrational modes.

Geometrical structure
A series of stable ion pairs had been optimized. These ion pairs are used to detect the interaction between the ion pairs and the water molecule, the ion pairs and the Methanol molecule.

The [bmim]
[Ala]-Methanol binary system was optimized, and six stable configurations obtained with no imaginary frequencies are presented in Figure1 The selected geometrical parameters of these configurations are showed in Figure 1.
Most of the early investigations suggested that the miscibility of an ionic liquid with water is mostly determined by the associated anion. The [bmim][Ala]-H 2 O binary system was optimized, and seven stable configurations obtained with no imaginary frequencies are presented in Figure 2. The selected geometrical parameters of these configurations are showed in Figure 2.
The intermolecular and intramolecular H bonds were both characterized by the bond length and bond angle in Figure 1 and Figure  2, where a H bond will be indicated if the C-H···O distance is less than the van der Waals H···O distance of 2.72 Å and the C-H···O angle is greater than 90° [34].
Further comparison in configurations a1-a6 found that there are three main types of structures. Methanol molecule only has interaction with the anion of ionic liquid, as a6. Methanol molecule only has interaction with the cation of ionic liquid, as a4. Methanol molecule has interaction with the cation-anion of ionic liquid, as a1, a2, a3, a5. Similarly, [bmim][Ala]-H 2 O also has three main types of structures, Water molecule only has interaction with the anion of ionic liquid , like b2,b7. Water molecule only has interaction with the cation of ionic liquid, as b4, b6. Water molecule has interaction with the cation-anion of ionic liquid, as b1, b3, b5.
Generally, the total energy will decrease when two molecules interact. The decreased energy is called interaction energy, or binding energy. The stability of complex is related to interaction energy tightly. The basis set superposition error (BSSE) is calculated with the counterpoise procedure method advanced by Boys and Bernardi [35]. Table 1 [36], ΔEcp, and the interaction energy corrected by BSSE ΔE M . a The interaction energies of the ion pairs, b The interaction energies of the ion pairs corrected by BSSE ΔE M =ΔEcp -ΔE AAIL Configuration a1 and a3, b1 and b5 with the interaction energy of -450.52 and -452.14 kJ/mol, -451.27 and -452.19 kJ/mol (BSSE corrected) were predicted to be the more stable configurations. The intensity orders of the interactions for the configurations are a3 = a1 > a2 = a5 = a6> a4, b5= b1 =b3>b2 = b7> b4=b6. Table 1 lists the interaction energies of these complexes. Compared with the interaction energies of the anion-cation, water complexes, the interaction energies of these ion pair-water complexes are smaller. The interaction energies of the complexes a1, a3, b1, b5 are 53.62, 56.79, 54.35 and 57.77 kJ/mol (Table 1) Natural bond orbital analysis. The electronic population was studied by NBO analysis, which transforms the canonical delocalized Hartree-Fock molecular orbital into, localized orbital that are closely tied to chemical bonding concepts. Table 2 shows the delocalization energies corresponding to the most important orbital interactions together with the occupancy of the acceptor orbital and the orbital energy differences.

AIM analysis:
The bond properties between each pair of atoms were systemically analyzed using atoms in molecules (AIM) theory. To gain a deeper insight into the nature of interactions, AIM calculations were undertaken at the B3LYP/6-311++G ** level of theory. It is used to analyze the bonding characteristic, which is based on a topological analysis of electron density (ρ c ) and Laplacian (∇ 2 ρ c ) [37]. ρ c is used to describe the strength of a bond, with stronger bond associated with larger ρ c value. ∇ 2 ρ c describes the characteristic of the bond. As ∇ 2 ρ c < 0, it is named as the covalent bond. As ∇2ρc >0, it refers to a closed-shell interaction and characteristic of ionic bond, hydrogen bond or van der Waals interaction. As ∇2ρc≈0, it forms faintish chemical bond.
From the values listed in Table 3, it can be concluded that the interactions between the cation and the anion, AAIL and Methanol/ Water, which were marked by the dot line were all close shell systems (H bonding interaction), for their values of the ∇ 2 ρ c all fall in the range of normal H-bond (0.020~0.139 au), and ρc is no more than 0.20 au. While for the H38-O39 in a, O38-H39 in b etc were all ∇ 2 ρ c < 0, and the corresponding ρc were all is greater than 0.20 au, they were characterized by covalent bonds.    Although the gas-phase calculation may be different from the liquid state, the results obtained here show us some new insights on the interaction details of the ionic liquids/water, ionic liquids/ Methanol systems. These calculations may be valuable to study to binary liquid-liquid phase systems containing amino acid ionic liquid.

Vibrational spectra
Recently, spectroscopic methods have been developed to study the structures of solutions [38,39]. Among the various spectroscopic methods, infrared spectroscopy and Raman spectroscopy play important roles in investigations on the structural properties and interactions of ionic liquids [40][41][42][43]. Exploration of hydrogen-bonding systems in which solvation, considered as a series of equilibria, can be quantified offers an interesting opportunity to explore solvent effects in recognition at a molecular level by combining experiments and theoretical calculation.  Table 4. scaling factor 0.9890 The IR band corresponding to the bending mode (ν 2 ) of water (either pure or dissolved in solvents) usually absorbs in the region 1595±1650 cm -1 . However, this band alone is seldom used to elucidate the molecular state of water. We find it with ionic liquid in IR vibrating peaks of the carboxyl group mode together research, a very good description of water in ionic liquid micro structure [44,45]. As is depicted in Figure 3

The Interaction of the ion-pairs with the methanol molecule:
The ATR-IR spectra of the [bmim][Ala]-CH 3 OH in the region 950-1200 cm -1 and 1500-1650 cm -1 are displayed in Figure 5 and the C-O stretching mode of Methanol in the theoretical IR spectra is displayed in Figure 6 Correspondingly, assignments for the [bmim] [Ala]-CH 3 OH in the C-H,O-H,C-O stretching region are shown in Table 5.
The IR band corresponding to the C-O stretching mode of Methanol (either pure or dissolved in solvents) usually absorbs in the region 980 ± 1100 cm -1 . Using the same method with analysis of [bmim][Ala]/

Complex
Bond   The interactions between AAILs and H 2 O or CH 3 OH depended on the hydrogen bonds based on the results of AIM and NBO. Configuration of the high interaction energy is that Water or Methanol has hydrogen bonding with both cation and anion at the same time. The NBO analysis has revealed that the LP(O)→BD * (C-H) interactions give the strongest stabilization to these complexes and strengthen the intermolecular H···O interactions. In other words, hydrogen bonds have the greatest impact for the carbonyl and hydroxyl groups.
The addition of Water or Methanol to AAILs has a large effect on macroscopic properties, which is consistent with theoretic calculation. The change of vibration frequency of C4-H is in accordance with the previous results that the site acting was the carboxyl group mode. As a preliminary investigation on relationships between the electron density of H-bonding and stretching frequencies by IR and DFT, this work will make a contribution to the study of the microstructure for AAIL mixed solution.