Theoretical Study on the Stability of Metallasilabenzyne and Its Isomers Xuerui Wang, and Jun Zhu* State Key Laboratory of Physical Chemistry of Solid Surfaces, Fujian Provincial Key Laboratory of Theoretical and Computational Chemistry and Department of Chemistry, College of Chemistry and Chemical Engineering, Xiamen University, Xiamen 361005(P. R. China). KEYWORDS: Metallasilabenzyne; Ring strain; Aromaticity. Supporting Information Placeholder ABSTRACT: Metallabenzyne has been an interesting research highlight in the chemistry of metallaaromatic complexes. Particularly, the well-known reluctance to participate in π bonding makes metallasilabenzyne complexes which derived by taking place of carbyne carbon in metallabenyzne more intriguing and elusive. Inspired by our previous theoretically study on the aromaticity and stability of osmasilabenzyne and metallasilapentalyne, we wonder how about the relative stability of isomers with silicon atom at different position in the metallabenzyne ring due to the relative weak and polarized metal-silicon multiple bond? There is a interesting founding of interplay between aromaticity and ring strain in determining the relative stability of metallasilabenzyne and metallasilapentalyne. The effect of carbonyl ligand (CO), the substituent and different metal centers are investigated to tune the relative stability of osmasilabenzyne and its isomers. Our findings could be a useful take-home message for experimenters to realize the metallasilabenzyne. INTRODUCTION Metallabenzyne, as a fantanstic member of metallaaromatics family, has stirred a great deal of interests from chemists for the past few years. And the chemistry of metallabenzyne has achieved great developments1 such as various synthetic routs and reported interesting chemical properties since its first isolation.2 As the analogue of metallabenzyne, metallasilabenzyne, that derived from replacement of the carbyne carbon in metallabenzyne by silicon atom, has been never synthesized up to now. And recently, we first theoretically reported the stability and aromaticiy of osmasilabenzyne which would be a helpful guide for experimentalists.3 That raised a interesting question why the metallasilabenzyne so challenge to realize? To the best of our knowledge, only limited transition metal silylidyne examples have been synthesized till now.4 And the first X-ray structure of base-stabilized transition metal silylene complex was synthesized in 19875 while an intermediate was reported in 1970. 6 The character of multiple-bond 7 is prominent issue among numerous differences8 between carbon and silicon. That is to say, silicon atom is reluctant to participate in π bonding.9 Weak and highly polarized transition metal multiple bonds give rise to high reactivities toward nucleophiles. 10 Great efforts to generate these unsaturated species were focused on the strategies by taking advantage of exceptionally bulky substituent and Lewis base.11 Since the weak and highly polarized transition metal multiple bonds, one may wonder how about the relative stability of isomers with silicon atom at different position in the metallabenzyne ring? Here we report density functional theory (DFT) study on stability of metallasilabenzyne and its isomers. 1 Figure 1. Proposed structures of osmasilabenzyne and its isomers. COMPUTATIONAL METHOD All structures of the metallasilabenzyne complexes were fully optimized at the B3LYP level 12 of density functional theory (DFT). Frequency calculations were performed at the same level of theory to confirm no imaginary frequency. The LanL2DZ13 basis set was used to describe Fe, Ru, Os, Co, Ru, Ir, Si, P, Cl while the standard 6-311++G** basis set was used for all other atoms. Polarization functional were added for P (ζ(d) = 0.340), Cl (ζ(d) = 0.514), Si (ζ(d) = 0.262), Fe (ζ(f) = 2.462), Ru (ζ(f) = 1.235), Os (ζ(f) = 0.886), Co (ζ(f) = 2.780), Rh (ζ(f) = 1.350), Ir (ζ(f) = 0.938).14 The NBO (natural bond orbital analysis)15 method, as implement of Gaussian 03, was also employed to examine the character of the chemical bonding. All the optimized calculations were performed with Gaussian 03 package.16 RESULTS AND DISCUSSION Relative Stability of Metallasilabenzyne and its isomers. To begin with, we carried out DFT calculations to examine the relative thermodynamic stability of osmasilabenzyne in comparison with its isomers where silicon atom is at different positions of the metallacycle. One can conclude that silicon atom prefer to straightly bonded to the metal center for lower energy (Figure 2). That is consisit with the previous study on the metallsilapentalynes system17 that the isomers of directly bonded to the metal centers have greater stability for metal center has diffuse d orbitals and difference between the C and Si for size and energy of atomic 3s and 3p orbitals.18 However, the isomer with silicon atom singly bongded to the metal center is more stable than osmasilabenzyne which silicon atom occupy the carbyne carbon position(-19.1 kcal mol-1 for Gibbs Free energy). The most stable isomer is silicon atom triply bonded to the metal center in metallasilapentalyne system, the results are exactly the opposite. What are the reasons for this difference in relative stabilities of two bonded types in different systems? Next, we will perform detailed calculations on this issue and how to tune the relative stability of two isomers. Figure 2. Relatively Stability which silicon at different positions of the metallacycle ring (kcal/mol ) in osmasilabenzyne and osmasilapentalyne system. The evaluation of aromaticity and ring strain. The isomerization stabilization energy (ISE) method as one of criteria19 to describe the aromaticity and antiaromaticy was proposed by Schleyer20, one type is based on the energy difference between a methyl derivative of the aromatic system and its nonaromatic exocyclic methylene isomer which is particular effective for strained systems, the other type is on account of erengy difference between indene and its isoindene isomer which is homodesmotic and all carbon atoms in the metallabicycle ring are sp2 hybridized. We carried out this two type ISE methods to evaluate the aromticity of osmasilabenzyne 1a and its isomer 5a by taken its convenience and efficiency into consideration. As shown in the Figure 3, the ISE values of osmasilabenzyne 1a are relatively smaller than those of its singly bonded isomer 5a. The similar results occurred in osmasilapentalyne system which triply bonded isomers 1b inclined to have smaller ISE values. That in line with the fact the silicon is reluctant to participate in bonding. Figure 3. (A)ISEs of osmasilabenzyne and its isomer. (B) ISEs of osmasilapentalyne and its isomer. When the carbyne carbon is taken the place of an silicon atom, the ring strain is apparently reduced 2 possibly attribute to the large size of silicon atom. How about the ring strain of the isomers with silicon atom singly bonded to the metal centers? We employed partial optimization as we previous done for osmasilabenzyne and osmasilapentalyne to evaluate ring strain. All the fixed angles are exactly equally to their optimized metallacycle structures(Figure 4). The general observation from the Figure 4 can be made : the silicon atom at the triply bonding position(1a, 1b) have apparently smaller ring strain in comparison with the counterparts of silicon singly bonded isomers(5a, 7b). What’s more, that result is more obvious in osmasilapnetalyne because five-numbered ring has angle bending to some extent and the significant mangnitudes of the bending at Os-C triple bond in five-numbered ring. Figure 4. The ring strain of osmasilabenzyne, osmasilapentalyne and their isomers. Effect of Metal centers. As the first metallabenzne21, metallabenzyne, and metallanaphthalyne were synthesized by osmium complexes, we wonder whether the metal center counts the relative stability of metallasilabenzyne against its isomer which Si atom singly bonded to the metal center. The calculated results of six transition metals centers of groups 8 and groups 9 were shown in Table 1. With regard to ferrasilabenzyne and cobaltasilabenzyne, that are too unstable to a local minimum when we optimized. Since there is a conversion of metallabenzynes to carbene complexes via migratory insertion reactions,22metallasilabenzyne took place similar conversion to generate silene complexes (Supporting information). Among other four metal centers, Rh gives the smallest free energy differences and the electronic energy differences even positive. Because of the positive charge, the metal centers of group 9 in comparison with metals of group 8 have contracted d orbitals. And the metal centers tend to have less diffuse d orbitals as go up the group. That is, the more contracted d orbitals of metal center leads to decrease the energy diffenerces of metallasilabenzyne and its isomer. Table 1. Thermodynamic Stability of Metallasilabenzyne in comparison with its isomer which Si atom singly bonded to the metal center with different metal centers. M Fe Rh+ Ir+ -19.1 -1.0 -10.8 -17.5 0.5 -9.0 Ru Os G -10.2 E -8.2 Co+ Effect of Substituent on the metallacycle. We investigated the substituent effect on the metallacycle for the sake of tuning the relative stability of metallasilabenzyne and its isomer which Si atom singly bonded to the metal center. The introduction of substituent on the metallacycle gives an effectively stability of metallabenzene23 and metallabenyne24.In this work, we focus on phosphonium substituent for there is a great stabilization role on the iso-osmabenzene complexes,25,osmapyridine,26the first osmapentalyne and the first osmapentalene. And when the phosphonium substituent at the ortho position can delocalize the electron density from the triple bond to get a better delocalization on the metallacycle and further stabilization. As shown in Figure 5A, the energy differences raised (compared to Figure 2) when introducing the phosphonium substituent at the ortho position. In comparison with the ISE values of phosphonium substituted(Figure 5B) and nonsubstitued(Figure 3A) osmasilabenzyne 1a and its isomer 5a which silicon singly bonded to the metal center, the singly bonded isomer gives relativity larger increased aromaticity than osmasilabenzyne. Therefore, it is understand that the bigger energy differences for larger increased aromaticity in singly bonded isomer. 3 Figure5. The phosphonium substituent on the relative stability and aromaticity(ISE method) of osmasilabenzyne and its isomer. Effects of Ligands. Our previous study on the stabilization of osmasilabenzyne shows CO destabilize the osmasilabenzyne indicated by a smaller ISE value(5 kcal mol-1 ). When CO is empolyed to take place of one of the chlorides in osmasilabenzyne 1a and its isomer 5a, it decreasing the energy difference effectively(Figure 6A). We found the wiberg bond indices of the Os-Si triple bond and Os-C single bond on 1c ring are reduced by 9.4% and 17.9%, respectively. And the wiberg bond indices of the Os-C triple bond and Os-Si single bond on 5c ring are reduced by 7.3% and 11.7%. We desigined such reaction(Figure 6B) in order to explore the destabilization extent of 1a and 5a as the strong acceptor ligand CO is introduced. According to the calculated results, one can easy reason that CO gives a more remarkable destablization of 5a than 1a. This explains the reason for the reduction in energy difference of 1a and 5a. Combining with the previously mentioned of effect of metal centers, we curiously want to know how about the relative stability of two isomers. Very interesting, the stability of two isomers reversed(Figure 6C). Figure 6. (A)Ligand effects on the relative stability of osmasilabenzyne 1c and its isomer 5c(B) Desigined reaction to investigate the destabilizaiton effect of CO. (C) Combining the effect of CO with metal center Rh. CONCLUSION We have performed density functional calculation to investigate the relative stability of metallasilabenzyne and its isomers. The carbonyl ligand (CO) and more contracted d orbitals of metal center can be used to tune the relative stability of two isomers. In comparison with ring strain, aromaticity plays a more important role in the relative stability of osmasilabenzyne and its isomers. However, ring strain plays a more significant part than aromaticity in determing the relative stability of metallasilapentalyne and its isomers. And our findings would be a useful take-home message for experimenters. ASSOCIATED CONTENT Supporting Information Cartesian coordinates for all the complexes calculated in this study are available free of charge via the Internet at http://pubs.acs.org. AUTHOR INFORMATION Corresponding Author 4 *E-mail: jun.zhu@xmu.edu.cn ACKNOWLEDGMENT We acknowledge financial support from the Chinese National Natural Science Foundation (21103142 and 21133007), the National Basic Research Program of China (2011CB808504), the Program for Changjiang Scholars and Innovative Research Team in University and the Fundamental Research Funds for the Central Universities (2012121021). REFERENCES (1) (a) Wen, T.; Hung, W.; Sung, H. H. Y.; Williams,I. D.; ; Jia, G. J. Am. Chem. Soc., 2005, 127 , 2856 –2857; (b) Jia, G. Coord. Chem. Rev., 2007, 251, 2167 –2187; (c) Wang, T.; Zhang, H.; Han, F.; Lin, R.; Lin, Z.; Xia, H. Angew. Chem., Int. Ed., 2012, 51, 9838–9841; (d) Chen, J.; Shi, C.; Sung, H. H. Y.; Williams, I. D.; Lin, Z.;Jia, G. Chem. -Eur. J., 2012, 18, 14128 –14139; (e) Zhao, Q.; Zhu, J.; Huang, Z.; Cao, X.; Xia, H. Chem. - Eur. J., 2012, 18, 11597 –11603; (f) He, G.; Zhu, J.; Hung, W. ;Wen, T.; Sung, H. H. Y.; Williams, I. D.; , Z.; Jia, G. Angew. 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