Startseite DFT Studies of Single Lithium Adsorption on Coronene
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DFT Studies of Single Lithium Adsorption on Coronene

  • Kun Harismah , Mahmoud Mirzaei EMAIL logo und Reza Moradi
Veröffentlicht/Copyright: 13. Juni 2018

Abstract

Density functional theory (DFT) calculations were performed to study the adsorption of neutral and cationic forms of single lithium (Li) on representative original and each of oxygen/sulfur-terminated coronene monolayer surfaces. First, the monolayers of coronene structures were prepared. Next, Li/Li+ adsorptions were investigated on the surfaces of the already optimised coronene models. The results indicate that the singular coronene models can be considered as appropriate surfaces for Li/Li+ adsorption, with stronger Li+ adsorption. Localisations of LI/Li+ species were carefully examined at the central carbon zone of the monolayer surface; however, only one model showed discrepancy by getting localised at the monolayer edge. Energy levels and distribution patters for the molecular orbitals indicate the effects of atomic terminations and Li/Li+ adsorptions, in which the singular and Li+-adsorbed models reveal identical results. Atomic-scale nuclear quadrupole resonance (NQR) properties were also evaluated, with the results indicating that the atomic properties can determine the major electronic properties for applying the coronene structure for specific applications.

1 Introduction

Lithium ion batteries (LIBs) have become extremely important because of the vast variety of applications in supplying power especially for high-tech electronic devices [1]. However, some limitations such as stability and capacity failures in maintaining LIBs restrict their applications for specific purposes [2]. Several attempts have been made to improve the efficiency of LIBs by constructing novel cathode and anode materials for the electrochemical batteries [3], [4], [5]. The pioneering introduction of carbon materials as appropriate anodes has led to the exploration of applications of carbon anodes to improve the efficiency of LIBs [6], [7], [8]. Graphite, which is a well-known carbon allotrope, was one of the first candidates to be employed as anodes in batteries [9]. After the development of nanotechnology, carbon nanostructures have become the target of much research for them to be characterised for possible anodic applications [10], [11], [12]. In this case, the graphene monolayer is one of the most interesting targets because of its similarities in composition with graphite and higher expectations of novel applications [13]. Investigations of atomic adsorption on pristine and oxidised forms of graphene have led to the realisation that the graphene layer is a suitable surface for adsorbing several elements of the periodic table [14], [15]. Moreover, earlier works have shown the advantage of the graphene surface for Li adsorption as an anodic material [16], [17]. Coronene, the smallest free-standing monolayer of graphene with the formula C24H12, could be considered another interesting target for Li adsorption for anodic application [18], [19], [20]. Coronene itself belongs to the family of polycyclic aromatic hydrocarbons (PAHs), which are very important in a variety of applications from biological to inorganic industries [21]. Atomic adsorption applications of coronene have been recognised by earlier works [22], [23], [24].

In this work, we investigate the single Li atom adsorption on a representative coronene surface by quantum chemical computations. For this purpose, we have constructed four molecular models of coronene (Fig. 1): the original (HC), oxygen-terminated (OC), sulfur-terminated (SC), and oxygen/sulfur-terminated (OSC). Next, atomic (Li) and cationic (Li+) adsorptions are investigated for all the constructed coronene models (Fig. 2). The evaluated electronic and structural properties at both the molecular and atomic scales are summarised in Scheme 1 and Tables 14. Earlier works had indicated that both oxygen and sulfur terminations could be considered for nanostructures [25], [26]; therefore, the advantage of atomic substitution has been considered for evaluating new structural properties for coronene in this work. It is worth noting that chemical and physical decorations of nanostructures are required for imparting novel properties for specific applications [26], [27], [28], [29].

Figure 1: Singular models of coronene: (a) H-terminated (HC), (b) O-terminated (OC), (c) S-terminated (SC), and (d) OS-terminated (OSC).
Figure 1:

Singular models of coronene: (a) H-terminated (HC), (b) O-terminated (OC), (c) S-terminated (SC), and (d) OS-terminated (OSC).

Figure 2: Central carbon zone: (a, b) Li@HC complex model and (c, d) Li/Li+@Coronene complex models.
Figure 2:

Central carbon zone: (a, b) Li@HC complex model and (c, d) Li/Li+@Coronene complex models.

Table 1:

Optimised parameters.a

ModelLA (Å)AA (°)EA (eV)EHOMO (eV)ELUMO (eV)EG (eV)DM (Debye)
HC−5.45−1.424.030.00
Li@HC2.6530.060.09−2.56−1.860.704.82
Li+@HC2.3375.622.03−8.94−4.963.984.74
OC−4.71−1.713.000.00
Li@OC2.2476.940.29−2.84−1.661.184.25
Li+@OC2.3572.381.39−8.34−5.782.564.88
SC−4.50−2.172.330.00
Li@SC2.2678.840.62−3.28−2.181.104.20
Li+@SC2.3774.851.65−7.72−5.871.854.86
OSC−4.38−3.001.380.00
Li@OSC2.3080.580.66−3.54−2.531.014.18
Li+@OSC2.3777.751.38−7.89−6.561.334.90
  1. aSee Figures 1 and 2 for the models.

Table 2:

Quadrupole coupling constants (kHz): carbon terminating atoms.a

ModelC1/C2C3/C7C6/C10C15/C19C18/C22C23/C24
HC1966/19661966/19661966/19661966/19661966/19661966/1966
Li@HC2002/20022045/19701992/19702042/19792042/19792096/2096
Li+@HC2243/22432243/22432243/22432243/22432243/22432243/2243
OC254325432543254325432543
Li@OC242626862809280926862426
Li+@OC233023302330233023302330
SC120612061206120612061206
Li@SC102811491187118711491028
Li+@SC148714871487148714871487
  1. aSee Figures 1 and 2 for the models and atom numbering.

Table 3:

Quadrupole coupling constants (kHz): oxygen and sulfur terminating atoms.a

ModelO1/S2O6/S3O7/S10O18/S15O19/S22O24/S23
OC106591065910658106581065910659
Li@OC107001066210826108261066210700
Li+@OC107271072810728107281072810727
SC264732648226475264752648226473
Li@SC270472664126282262822664127047
Li+@SC267272673626742267242673626726
OSC11473/4514411475/4515111474/4515011474/4515011475/4515111473/45144
Li@OSC10899/4145310901/4145810899/4145610899/4144910900/4145910898/41449
Li+@OSC11250/4581211253/4582011251/4581711251/4581711253/4582011250/45812
  1. aSee Figures 1 and 2 for the models and atom numbering.

Table 4:

Quadrupole coupling constants (kHz): atoms of central carbon zone and lithium.a

ModelC8C9C12C13C16C17Li/Li+
HC199919991999199919991999
Li@HC199219921966196620922092116
Li+@HC18521852185218521852185286
OC173617361736173617361736
Li@OC82819843993991984828150
Li+@OC19031903190319031903190350
SC140814081408140814081408
Li@SC3301007141814181007330154
Li+@SC16051605160516051605160568
OSC322321320320321322
Li@OSC546546547547547547163
Li+@OSC55855855755755855895
  1. aSee Figures 1 and 2 for the models and atoms numbering.

2 Computational Details

In this computational work, four molecular models of coronene (Fig. 1) were prepared: C24H12 H-terminated (HC), C18O6H6 O-terminated (OC), C18S6H6 S-terminated (SC), and C12O6S6 OS-terminated (OSC). All models were first optimised to achieve the minimum energy structures. Afterwards, adsorptions of atomic Li and cationic Li+ species were individually investigated for each of the coronene models (Fig. 2). For this part, the geometries of the already optimised coronene models were kept frozen while those of Li/Li+ species were allowed to relax at the monolayer surface to make the Li/Li+@Coronene complex systems. It is important to note that the frozen geometry of coronene was considered to mimic large surfaces for the adsorption of small atoms. However, computations of all-floating structures have been included as Supplementary Information for the interested reader. Another point is that although the surface of coronene was the target of this work, computations for possible atomic adsorption at the edges of coronene have also been included as Supplementary Information. Based on the performed optimisation processes, the adsorption length (LA), adsorption angle (AA), adsorption energy (EA), energy of the highest occupied molecular orbital (EHOMO), energy of the lowest unoccupied molecular orbital (ELOMO), energy gap (EG), and dipole moment (DM) were evaluated for the single and complex models (Table 1). The HOMO and LUMO distribution patterns were also evaluated for all of the investigated models based on time-dependent single-point calculations (Scheme 1). LA, AA, EHOMO, ELUMO, and DM were directly obtained by the computed results whereas (1) and (2) were used to obtain the EA and EG values:

(1)EA=ECoronene+ELiEComplex
(2)EG=ELUMOEHOMO
Scheme 1: HOMO and LUMO distribution patterns.
Scheme 1:

HOMO and LUMO distribution patterns.

For further investigating the models, atomic-scale nuclear quadrupole resonance (NQR) spectroscopic properties were evaluated (Tables 24) by calculating the electric field gradient (EFG) tensors of atoms of the optimised structures. NQR is one of the most important techniques to investigate the atomic characteristics of matter [30]. The EFG tensors are very sensitive elements to the electronic environments of atomic sites and can detect any perturbations especially in the interacting systems [31], [32]. Earlier works have indicated that the NQR parameters could very well recognise the atomic-scale properties to give insightful information on the characteristics of electronically complicated nanostructures [33], [34], [35]. To evaluate the quadrupole coupling constants (CQ) of the NQR parameters, (3) was used, in which e, Q, qzz, and h are the electric charge, nuclear quadrupole moment, major eigenvalue of EFG tensors, and the Planck constant [36].

(3)CQ=e2Qqzzh1

All quantum chemical computations in this work were carried out based on density functional theory (DFT) employing the B3LYP exchange-correlation functional and the 6–31G* basis set as implemented in the Gaussian package [37].

3 Results and Discussion

3.1 Optimised Parameters

As the first step of this work, the optimised parameters (Table 1) were evaluated for all single models, i.e. HC, OC, SC, and OSC (Fig. 1) and complex models, i.e. Li@HC, Li+@HC, Li@OC, Li+@OC, Li@SC, Li+@SC, Li@OSC, and Li+@OSC (Fig. 2). A quick look at the panels of Figure 1 indicates that the singular models are divided into two main structures of original and O/S-terminated coronene. Analysis of the results of Table 1 for the singular models reveals the effects of O/S terminations on the HOMO and LUMO levels of energy, resulting in the upper level shifting for HOMO and lower level shifting for LUMO, in which the values of EG are significantly reduced from 4.03 to 1.38 eV in the order HC>OC>SC>OSC. The zero value of DM indicates that all singular planar models are symmetric regarding their electronic polarisations. Therefore, first, each Li/Li+ atomic counterpart was located at the top side of the central ring of the coronene structures for simulating the Li/Li+ adsorption on the investigated monolayer systems. After the initial localisation, the Li/Li+ atomic counterpart was allowed to relax during the optimisation process at the surface of each of the frozen-geometry monolayers. Interestingly, the Li/Li+ atomic counterpart found its optimised location again at the top side of the central ring in all the resulting complex structures with the exception of Li@HC, in which the Li atom had moved to the edge of coronene (Fig. 2). An examination of the obtained geometries of Li@Coronene models indicates that the Li atom is placed at the top of HC model farther than in other O/SC models; almost similar distances are seen between the Li atom and the monolayer surface of O/SC models. Since the Li atom has moved to the edge of the HC model, the calculated value of EA (0.09 eV) is small. The other complex systems have slightly higher values of EA in the order OSC>SC>OC. Generally, it can be seen here that the binding strength between Li and the coronene models is not very strong. Another work had also indicated the value of ∼1 eV for Li adsorption on the graphene surface [15]. Examination of the complex systems of Li+ and coronene models indicates that the cationic form makes stronger binding than the neutral atomic form of Li. Interestingly, the value of EA for the Li+@HC model is the highest and that of Li+@OSC is the lowest; both of them are much higher than for all the Li@Coronene models. Analysing the values of LA and AA indicates that the position of the Li+ counterpart is almost identical for all Li+@Coronene complex systems.

Further analysis of Table 1 shows the effects of induced polarisation in the complex systems, in which the values of DM of the complex systems are significantly increased in comparison with the zero value of DM of singular coronene models. It is seen that the values of DM in the Li@Coronene complex systems are in the order HC>OC>SC>OSC, but the order is reversed in the Li+@Coronene complex system, i.e. HC<SC<OC<OSC. Recalling the values of EA, the lower value of DM is proportional to the higher value of EA in both Li/Li+@Coronene complex systems, revealing lower values of DM for the more stable complex structures. The energy levels of HOMO and LUMO also show the effects of Li/Li+ adsorption on the coronene surfaces, in which the values of EG are reduced in all complex systems in comparison with the singular coronene models. However, the magnitudes of the change of EG values of each of the complex systems are different; also, the initial values of EG for the corresponding singular coronene models are also different. Further analysis of the values of EG indicates that the changes of Li@Coronene models are more significant than those of the Li+@Coronene models, in which the values of EG have shifted to lower values in the Li@Coronene models than the Li+@Coronene models. Very significant effect can be seen for the Li@HC model, in which the different positions of Li in comparison with those in other complex models are already seen. The HOMO and LUMO distribution patterns (Scheme 1) also indicate the visual molecular orbital characteristics of singular models and also the effects of Li/Li+ adsorption on the overall molecular orbitals of the complex systems. It can be seen that the molecular orbital properties of coronene surfaces are very sensitive to both the terminating atoms in the singular models and Li/Li+ adsorptions in the complex systems, which can be very helpful for determining their characteristic behaviours.

3.2 NQR Parameters

For further investigating the molecular models of this work, the atomic-scale NQR parameters (CQ) were evaluated for the atoms of the optimised structures (Tables 24). The main advantage of analysing the CQ values is the precise determination of the electronic environment of the atomic sites of matter [33], [34], [35]. Atoms of the models were divided into three groups based on the terminating carbon atoms (Table 2), the terminating oxygen and sulfur atoms (Table 3), and the atoms of the central carbon zone and lithium (Table 4). As mentioned earlier, the Li/Li+ species were located on the top of central carbon zone of all models with the exception of Li@HC. The obtained CQ values of each set of C, O, and S terminating atoms of each of the investigated singular and Li+@Coronene complex models are all similar (Tables 2 and 3). However, the carbon terminating atoms of the Li@Coronene complex models are different to each other. Referring to the HOMO and LUMO distribution patterns (Scheme 1), there are similarities in the orbital properties for the singular and Li+@Coronene complex models; however, the patterns of Li@Coronene complex show discrepancies. Parallel results have been obtained for the NQR parameter for which the terminating atoms of each of singular and Li+@Coronene complex models are almost identical but different in the Li@Coronene complex models.

Examination of the results of Li/Li+ species (Table 4) indicates different electronic environments of the atomic and cationic forms of adsorbed Li at the original and different atom-terminated coronene surfaces. Interestingly, there is a direct relationship between AA and CQ of Li/Li+ counterparts, in which wider angles yield larger values of CQ. Analysis of the NQR parameters for atoms of central carbon zone indicates that all six atoms of singular and Li+@Coronene complex models have the same electronic environment in each model; however, comparison of the properties between models indicates the effects of both of O/S terminations and Li+ adsorption on the electronic properties of these carbon atoms. Parallel to the results of terminating atoms in the Li@Coronene complex models, the atoms of central carbon zone of these models again show discrepancies. It is worth remembering the achievements by the HOMO and LUMO distribution patterns (Scheme 1). Based on the obtained results of the NQR parameters, it can be concluded that the atomic properties of coronene monolayer surfaces are different in models with different atom terminations. In this case, it is important to see which types of monolayers are required for specific purposes. As the values of CQ indicate the electric charge densities at the atomic sites, different electronic surfaces can arise for coronene layers with different atom terminations. The results of these different electronic surfaces can be seen by the different angles and energies of adsorptions of the external species, for example, Li/Li+ of this work. Therefore, we need to explore such atomic-scale properties in addition to the molecular properties to gain insightful information about the investigated systems.

4 Conclusion

Using DFT, we have investigated the Li/Li+ adsorption on representative H-, O-, S-, and OS-terminated models of coronene based on the evaluated molecular- and atomic-scale properties. Based on this work, some trends can be noted. First, in addition to H-terminated coronene (original), other O-, S- and OS-terminated models were also found to be stable and symmetric in their polarisation properties. Second, different properties were obtained for Li and Li+ adsorptions at the surface of coronene models, in which larger energies were obtained for Li+ adsorption in comparison with Li adsorption for all investigated coronene models. Third, the Li and Li+ species were localised at the top of central carbon zone of all monolayer coronene with the exception of Li adsorption at the surface of H-terminated coronene, in which the Li atom has moved to the edge of the monolayer. Fourth, the energy levels of HOMO and LUMO are different in the different atom-terminated models of singular coronene and also in the Li/Li+-adsorbed complex systems. Similar HOMO and LUMO distribution patterns have been seen for the singular and Li+-adsorbed complex models but different from the Li-adsorbed complex models. Fifth, the NQR parameters for Li/Li+ species indicated a direct relationship between the angle of adsorption and the magnitude of the CQ values. Equivalent NQR parameters have been evaluated for the atoms of central carbon zone of the monolayer for the singular and Li+-adsorbed complex models of coronene, but different for the Li-adsorbed complex models. Parallel behaviours were also seen for the terminating atoms of singular and complex systems. Finally, the original and each of the O/S-terminated models of coronene can be proposed as possible surfaces for the stronger adsorption of Li+ than Li, in which the detailed electronic properties at the molecular and atomic scales can be tuned for applications for specific purposes.

Acknowledgement

M. M. acknowledges the support by the Iran Nanotechnology Initiative Council (INI) and the Sheikh Bahaei National High Performance Computing Center (SBNHPCC) for providing computing facilities and time.

  1. Author contribution statement: K. H. and M. M. initiated this work and prepared the first draft of the manuscript. R. M. helped in the discussion process of the manuscript especially for analysing the content of Table 1. Further analysis the content was done by all authors, who approved the final draft of the manuscript.

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Supplementary Material

The online version of this article offers supplementary material (https://doi.org/10.1515/zna-2017-0458).


Received: 2017-12-18
Accepted: 2018-05-18
Published Online: 2018-06-13
Published in Print: 2018-08-28

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