Methane concentrations had increased globally from 722 parts per billion (ppb) in pre-industrial times by a factor of 2.5 to 1800 ppb  and currently to 1850.5 ppb, July 2018  .
Although the amount of methane emissions is five times less than those of CO2, they are similarly problematic because methane can retain, approximately 23 times more heat than CO2 in the atmosphere  . A challenge for the future is the activation of methane and its conversion into more valuable feed stocks, because it would permit a much more efficient use of methane from either geological deposits or biogenic sources  into other valuable and/or environmentally friendly chemical compounds. Understanding of the nature of bonds in complexes can serve as a vehicle in the conversion of methane into a more valuable feedstock which will be of strategic importance in tropical chemistry where experiments in the gas phase can have a significant impact. Imagine a small plant that has methane and air as inputs where resources of methane could be used much more efficiently; for example, steam reforming converts methane into syngas [Equation (1)] from which methanol can be produced in a second step [Equation (2)]; or partial oxidation of methane according to Equation (3) to produce methanol as a liquid.
Most biological processes are identified to involve heavy metals or their cations which usually act as poisons  . It is a well instituted fact that lead toxicity in particular is widely spread in nature from centuries     . As a result of anthropogenic activities, lead is primarily dispersed throughout the environment in the form of particles in the air, and is removed by rain or gravitational settling. Plants and animals may have bioconcentrate lead (Pb) which the general population may be exposed to in ambient air, foods, drinking water, soil and dust. Hence the detection of lead and the treating of lead poisoning in the environment  has attracted a wide-spread attention more importantly investigation into lead (II) complexes in the gas phase. In inorganic chemistry lead complexes play a vital role as intermediates in homogeneous catalysis as well the active bonding between metal cation and ligands play a key role in coordination chemistry  .
To date, there are three major techniques for generation of metal ion ligand complexes in the gas phase namely laser vaporization, electrospray and the pickup technique. Extensive investigation into Pb2+ complexes using infrared, ultraviolet spectroscopy and mass spectrometry in both the liquid and gaseous phases abound. Burt et al. used mid-Infrared Multiple-Photon Dissociation (IRMPD) spectroscopy to determine the gas-phase structures of deprotonated Pb2+/amino acid complexes with and without a solvent molecule present  . Firdoussi et al. by the application of electrospray ionization in combination with tandem mass spectrometry characterised the glycosidic linkage of underivatised disaccharides by interaction with Pb2+ ions  . Further, Salpin et al. evidenced the formation of macrochelate forms and tautomerization of the uracil moiety by the application of tandem mass spectrometry and mid-IRMPD spectroscopy for the Pb2+/uridine-5'-monophosphate complex  . The structure of the Pb2+-deprotonated 2'-deoxyguanosine-5'-monophos-phate (dGMP) complex, generated in the gas phase by electrospray ionization, was examined by combining tandem mass spectrometry, mid-infrared multiple-photon dissociation (IRMPD) spectroscopy and ion mobility in the gas phase  . Lead (II) complexes were synthesized with Schiff bases derived from 4-methoxybenzaldehyde and amino acids (tryptophan, phenylalanine, valine, isoleucine, methionine, histidine, alanine, cysteine, serine and aspartic acid). The ligands act as monobasic bidentate species and coordinate to the lead atom through the azomethine nitrogen and carboxylate oxygen atom  . Salpin and Tortajada had successfully use electrospray to syntheses Pb(II) compounds   while Stace et al. indicated that the pickup technique appeared to be the only method capable of preparing Pb(II)-based complexes where the metal cation is associated with a very wide range of ligands, here the coordinating atoms used were oxygen, nitrogen, sulphur and phosphorus, together with complexes consisting of benzene and argon in association  . Using the pick-up technology with a cold ion trap mass spectrometer, our group recently recorded the state-resolved UV photofragmentation spectra of [Pb(benzene)2]2+  .
2. Experimental Section
[Pb(Benzene)2]2+ ions were synthesised in the gas phase and their spectra recorded via UV photofragment spectroscopy within an ion trap mass spectrometer cooled to between 100 - 150 K. A schematic diagram of the apparatus is shown in Figure 1. Neutral [Pb(Benzene)n] clusters were generated via the pickup technique  , whereby argon carrier gas at a pressure of 130 psi was passed through a reservoir of benzene held at room temperature. The resultant
Figure 1. The diagram illustrating the experimental set up.
mixture, containing approximately 1% benzene vapour, underwent supersonic expansion through a 50 mm diameter nozzle before passing through a 1 mm diameter skimmer.
The emerging beam of mixed argon/pyridine clusters then passed over the top of a Knudsen cell containing manganese chips heated to 1150˚C, which was sufficient to generate a metal vapour pressure of 10−3 to 10−2 mbar. Collisions between metal vapour and the mixed clusters generated neutral metal-containing clusters, which were then ionised by high energy electron impact (100 eV) in the ion source of a quadrupole mass spectrometer (Extrel). From the mixture a doubly charged ions, [Pb(Benzene)2]2+ was mass selected and directed by an ion guide into a Paul ion trap. The end caps of the latter were grounded and continuously cooled through direct contact with a liquid nitrogen reservoir. As a result, helium buffer gas (5 × 10−4 mbar) contained within the trap was also cooled and over a total trapping time of 1 s, collisions between the helium and trapped ions led to a considerable reduction in the internal energy content of the latter  . Based on the observation of unimolecular decay by trapped ions, the internal temperature was thought to drop from 4500 K to somewhere in the range 100 - 150 K. This cooling procedure has led to the appearance of discrete structure in the spectra (Figure 2).
To optimize the peak intensity of [Pb(Benzene)2]2+ the ion optical was effectively tuned to maximise the signal of the calculated target of the metal complex dication at 181.5 amu. In addition a sharp peak due to the parent ion picking up water from the background gas as it circulates within the trap was observed at 190.5 amu (Figure 2).
The ions were irradiated with seven 10 ns pulses of tunable UV radiation from the frequency-doubled output of a Nd: YAG-pumped dye laser following a 300 ms collection and cooling period, before being ejected for mass analysis and signal averaging. This gave a total duty cycle of 1.0 s for each period of ion injection
Figure 2. Mass spectrum of [Pb(Benzene)2]2+ at oven temperature of 890˚C.
and excitation. Photon absorption led to fragmentation, and the intensities of the precursor and all fragment ions were monitored as a function of photon energy. The cycle of trapping and laser excitation was repeated 200 times to yield a photofragment mass.
Figure 3 denotes a typical photofragment mass spectrum of [Pb(Benzene)2]2+. Three parent ion peaks were identified [Pb(Benzene)2]2+ at 181.5 amu the parent ions picking one and two molecule(s) of water from the background gas as it circulates within the trap forming [Pb(Benzene)2(H2O)]2+ at 190.5 amu and [Pb(Benzene)2(H2O)2]2+ at 199.5 amu respectively. In addition, three photofragment peaks relating to the [Pb(Benzene)]+ at 285 amu, Pb+ at 207 amu and Benzene+ ions were also observed. Compared to the previous work at the same average photon energy of 45,355 cm−1 two additional distinct weak peaks of [Pb(Benzene)]+ and Pb+ were observed in this current work  .
Figure 4 presents the mass spectrum of methane activation at oven temperature of 890˚C. Four new distinct ion peaks were observed namely, [Pb(Benzene)2(H2O)(Me)2]2+ = 206.5 amu, [Pb(Benzene)2(H2O)(Me)]2+ = 198.5 amu, [Pb(Benzene)(Me)3]2+ = 166.5 amu and [Pb(Benzene)(Me)]2+ = 150.5 amu. The important point about the fragmentation mass spectrum is that even without inputting energy via the laser, the complex ions are also able to fragment via collision induced dissociation (CID).
A typical photofragmentation mass spectrum of the methane activation with [Pb(Benzene)2]2+ under laser irradiation at wavelength of 42,283 cm−1 is shown in Figure 5. The spectra presented the parent fragment [Pb(Benzene)2]2+ at 181.5 amu; a characteristic photofragmentation route of losing a molecule of benzene+ resulting in the appearance of the lead monocation complexes [Pb(Benzene)]+ at 285 amu. The ability of the parent ion to pick a molecule of water to form [Pb(Benzene)2H2O]2+ was observed at 190.5 amu. In addition various metal benzene hydrated dication complex with methane molecule such as [Pb(Benzene)2H2OCH4]2+
Figure 3. Photofragmentation Mass spectrum of [Pb(benzene)2]2+ by ion trap mass spectrometer recorded under laser irradiation at an average photon energy of 45,355 cm−1.
Figure 4. Collision induced dissociation mass spectrum of [Pb(C6H6)2CH4]2+.
Figure 5. Photofragmentation Mass spectra [Pb(Benzene)2CH4]2+ (Photon energy = 42,283 cm−1).
at 198.5 amu, [Pb(Benzene)2(H2O)2(CH4)]2+ at 207.5 amu, [Pb(Benzene)2(H2O)2(CH4)2]2+ at 215.5 amu and [Pb(Benzene)2(H2O)3(CH4)]2+ at 216.5 amu were identified. Comparing the nature of laser induced fragmentation (LIF) to CID (Figure 4 and Figure 5), it was observed that the peak intensities of the fragments in CID depreciated enabling the appearance of the daughter photofragments benzene+ and [PbBenzene]+ with appreciably ion peak intensities in LIF.
Photofragmentation of [Pb(BENZENE)2]2+
Photofragmentation of [Pb(Benzene)2]2+ in the ion trap can occur in three possible reaction routes as illustrated below:
The total binding energy is given by Equation (4) while Equation (5) defines the binding energy relative to charge transfer and Equation (6) can best be described as the incremental binding energy reaction. However, Equations (7)-(13) represented electrostatic interaction of lead benzene dication complex ion with methane molecules at various stages of the activation process as identify by the ion peaks. From the thermodynamic point of view the photofragmentation mechanisms of [Pb(Benzene)2]2+ leading to the formation of the products are highly feasible and does not necessarily depend on electronic excited state to occur. This is due to the fact that the first ionization energy of lead is lower than that of Benzene [IE (Pb) = 7.42 eV and IE (Bz) = 9.24 eV] a charge transfer reaction could be spontaneous. Puskar et al. in the application of the pickup technique in association with high-energy electron impact ionization to form complexes in the gas phase between Pb2+ with a wide range of ligands; observed that Pb dissimilar itself from many other metal dication complexes. The subsequent of collisional activation is that very slight chemical reactivity is demonstrated  . Hence such reactions are initiated using the energy difference between M2+ + e− → M+ and L → L+ + e−, which normally is ~5 eV and are mostly promoted via charge transfer. The resultant effect of this energy difference is the appearance of L+ and the loss of a substantial fraction of the residual ligands as neutral species in the Pb2+ complexes. In most occasions Pb+ appears as a charge-transfer product  .
The density functional theory as implemented in Gaussian 09  were used to calculate structures and binding energies of [Pb(benzene)2]2+ and lead dication complex ions with methane. The local density approximation (LDA)  together with the gradient-corrected exchange of Becke  and the correlation correction of Perdew  (BVP86) were applied on geometry optimization and frequency analysis. Structural minima were verified by the absence of imaginary vibrational modes. These calculations were compared with results calculated using the metahybrid functional of Tao, Perdew, Staroverov, and Scuseria (TPSSh)  . A 6-311++G(d,p) basis set was used for all atoms except Pb2+, for which the standard SDD relativistic pseudopotential (ECP78MWB) was used  . All energies presented are zero point energy corrected. The two optimised geometries observed on [Pb(Benzene)2]2+ were the C2V eclipse (Figure 6) and C2 staggered (Figure 7). The resultant effect was that the rings of the sandwich complexes were not parallel with angle of 180˚, rather bent hemi-directed geometries with centroid-Pb-centroid angle of ~167˚ however, this angle was slightly larger than the 1620 obtained previously  . The Pb-Benzene bonds were typically found to be focused all the way through only part of the coordination sphere for lead dication complexes, suggesting possibility of the calculated bent structures being expression of this effect.
From Table 1 it is clear that the total binding energy defined as [Pb(Benzene)2]2+ → Pb2+ + 2Benzene has the highest calculated binding energy follow by the incremental binding energy, defined as [Pb(Benzene)2]2+ → [Pb(Benzene)]2+ + Benzene, with the calculated binding energy relative to charge transfer defined as [Pb(Benzene)2]2+ → [Pb(Benzene)]+ + Benzene+ recording the lowest. The accessibility of the staggered and eclipsed conformers of [Pb(benzene)2]2+ in this experiment was demonstrated by the approximately the same calculated binding energy values observed with BVP86 and TPSSH.
Figure 6. Optimized C2v using BVP86, 6-311++G(d,p) as basic sets.
Figure 7. Optimized C2 using BVP86, 6-311++G(d,p) as basic sets.
Table 1. Binding Energies for the Pb2+ Complexes with respect to various Products formed and Calculated using both BVP86/6311++G(d,p) and TPSSh/6311++G(d,p).
At the initial geometry of [Pb(Benzene)2(CH4)]2+ with methane the benzene-lead-benzene bond was 180˚; all the hydrogen-carbon-hydrogen bonds in methane were observed to be 109.50˚ and the two benzene-lead-methane angles were observed to be 90˚ and 89.79˚ for the top and down benzene molecules respectively. However, at the optimised geometry of [Pb(Benzene)2(CH4)]2+ (Figure 8) all the initial angles was observed to be distorted; for instance benzene-lead-benzene bond was distorted from 180˚ to 166.01˚, the top benzene-Pb-methane bond is distorted to 101.10˚ while the down benzene-Pb-methane bond was distorted to 107.49˚. The angles of 109.5˚ in methane were distorted to 107.11˚, 108.94˚, 113.01˚, 107.10˚ with the remaining two angles distorted to equal values of 110.25˚.
In order to represent the observed charge separation reaction qualitatively a one-dimensional potential energy curve model was plotted (Figure 9). From the curves, it can be seen that the photo induced charge transfer to give [Pb((Benzene)2]+ and of [Pb(Benzene)2(CH4)]2+ was also not observed because this reaction was endothermic as evidenced by observing that the repulsive energy curve (blue) lies above the attractive curve (red).
At the optimised geometry of [Pb(Benzene)2(CH4)]2+ the lead-methane distance (Pb-C) (Figure 9) was 2.24 Ǻ corresponded to 0.114 eV (11.00 kJ/mol in photon energy) on the PEC. Comparing with the calculated DFT of 8.20 kJ/mol it was clear that the calculated PEC value was higher by 2.80 kJ/mol than calculated DFT value. This difference can be accounted for by the charge differences on the lead metal centre, while calculated charge on the Pb in the optimised geometry was 1.68 the charge of Pb = 2 was considered in the PEC calculation.
Figure 8. The Optimized geometry of [Pb(Benzene)2(CH4)]2+ at BSVP86/6311++G(d,p) with C1 Symmetry.
Figure 9. Potential energy curve model showing attractive and repulsive curves of [Pb(Benzene)2CH4]2+.
The UV spectra of [Pb(Benzene)2]2+ complexes have been recorded in the gas phase from ions that have been held and cooled in an ion trap which was then activated successfully with methane molecules at a selected photon energy. Photofragmentation of [Pb(Benzene)2]2+ complexes yielded Pb+ and benzene+ contrary to the previous work of Ma et al.  .
The calculated binding energies on the optimised geometry of [Pb(Benzene)2]2+ revealed that the values obtained were slightly lower than the previous values obtained at same levels of theory of zero point energy probably due to a slightly larger distortion angle observed in the optimised geometry in this current work. The PEC calculated binding energy of methane to lead benzene dication complex ion was approximately 25.45% higher than the value recorded on DFT; this difference can be accounted for by the charge differences on the lead metal centre. The actual calculated charge on the Pb in the optimised geometry was 1.68 while the charge of Pb = 2 was considered in the PEC calculation. The incremental addition of methane to the metal dication complex revealed approximately 39.15% difference in binding energy between [Pb(Benzene)2(CH4)]2+ and [Pb(Benzene)2(CH4)2]2+ for the calculated DFT values.
The author would like to thank Prof. Anthony Stace of University of Nottingham School of Chemistry, UK for all the sacrifice and support to see this research through, Dr Lifu Ma of University of Nottingham School of Chemistry for his contributions Prof Hazel Cox of the University of Sussex UK, Computational chemistry Department for the Software and computer time.
The author is indebted to British government for granting him “International Excellence Research Award” which made the financial assistance for this research in the Nottingham University UK possible.