Direct imaging of intra-cage structure in titanium-carbide endohedral metallofullerene Yuta Sato,1 Takashi Yumura,1,2 Kazu Suenaga,1 Hiroe Moribe,3 Daisuke Nishide,3 Masashi Ishida,3 Hisanori Shinohara,3 and Sumio Iijima1,2 1 Research Center for Advanced Carbon Materials, National Institute of Advanced Industrial Science and Technology (AIST), Tsukuba 305-8565, Japan 2 Department of Materials Science and Engineering, Meijo University, Nagoya 468-8502, Japan 3 Department of Chemistry and Institute for Advanced Research, Nagoya University, Nagoya 464-8602, Japan Supporting Information S1: Experimental procedures S2: EELS observation S3: Optimized structures of (Ti2C2)@C78 isomers References 1 S1. Experimental procedures Preparation of Ti2C80 from Ti/C composite rods by direct current (DC) arc discharge and the isolation using high-performance liquid chromatography (HPLC) were performed in the same manner as described elsewhere.8* Isolated Ti2C80 molecules were incorporated into open-ended single-walled carbon nanotubes (SWNTs) by vaporization in vacuum.23 The SWNTs filled with Ti2C80 were dispersed in n-hexane, and then fixed on a copper TEM grid coated with holey carbon. A JEOL 2010F microscope equipped with a Gatan detector (model 794) based on charge-coupled devices (CCD) was used for HR-TEM observation at an accelerating voltage of 120 kV. This observation condition enables one to visualize the moiré pattern coming from the zigzag chains on the rolled-up graphene sheet of an SWNT.24 In the present study, however, the contrast of the moiré pattern was minimized by careful adjustment of defocus value (f) not to disturb the molecular images of incorporated Ti2C80 (see Fig. S1-1). ––––––––––––––– * In the previous report,8 it was supposed that the obtained product is a 3:1 mixture of the two Ti2@C80 isomers based on the D5h- and Ih-C80 cages, respectively, and that they are inseparable from each other by HPLC. The structures of Ti2C80, however, are actually ascribed to the (Ti2C2)@C78 types, as shown in the present study and in Ref. [9–12,17]. 2 FIG. S1-1. (a) Phase contrast transfer functions for the present HR-TEM observation at f of –320 (i), –380 (ii) and –470 Å (iii; Scherzer focus). The red line indicates the spatial frequency of 0.469 Å -1 which corresponds to the distance between the adjacent zigzag chains on the rolled-up graphene sheet of an SWNT (2.13 Å). This figure indicates that the contrast of the moiré pattern coming from these zigzag chains is maximized and minimized at f of –320 and –380 Å, respectively. (b) HR-TEM images of the SWNT with the chiral index of (16,3) experimentally obtained (left) and simulated (right) using f of –320 (top), –380 (middle) and –470 Å (bottom). 3 S2. EELS observation The effect of the incorporation of Ti2C80 into SWNTs on the charge state of the encaged Ti atoms was examined by in situ EELS observation using a Gatan ENFINA spectrometer attached to the electron microscope. The EELS spectrum obtained for a bundle consisting of about ten SWNTs filled with Ti 2C80 shows two peaks ascribed to the Ti L2 and L3 edges at around 466.0 and 460.5 eV, respectively (Fig. S2-1). These EELS edges are almost identical to those previously observed for the original crystalline Ti2C80, in which the positive charge of each Ti atom is found to be two or less.8 The average intermolecular spacing of Ti 2C80 incorporated in SWNTs is determined to be 10.3 ± 0.4 Å based on HR-TEM images, which is almost identical to that found for the empty C70 (10.2 ± 0.4 Å25) but smaller than those for Gd@C82 and Sc2@C84 metallofullerenes (11.0 ± 0.3 Å23,25). The average diameter of SWNTs filled with Ti2C80 is estimated to be 14.3 ± 0.4 Å. 4 FIG. S2-1. The EELS spectrum obtained for the Ti 2C80 molecules incorporated into SWNTs. (Inset) The HR-TEM image of the bundle of SWNTs filled with Ti2C80 for which the EELS spectrum was obtained. 5 S3. Optimized structures of (Ti2C2)@C78 isomers The original D3h symmetry of the C78 cage in the end-on type (Ti2C2)@C78 isomer is not disturbed by the linear arrangement of the Ti 2C2 cluster on the C3 rotation axis (Figure 3a). The calculated 13C NMR chemical shifts of this cage are classified into eight groups in the range of 129–145 ppm.10 On the other hand, the one-sided arrangement of Ti2C2 in the side-on type (Ti2C2)@C78 isomer (Figure 3b) degrades the D3h cage symmetry to as low as Cs, and causes the significant split of the NMR peaks ranging from 125 to 162 ppm.10 Relative intensities of these split peaks, therefore, should be lower than those of the end-on type, even if the yields of the two isomers are comparable with each other. The side-on type isomer is expected to be energetically less favored than the end-on type by 1.66 eV,9 and to exist as a minor component in the Ti2C80 specimen. Thus the side-on type isomer does not give the NMR peaks with detectable intensities in the previous experiment, 8 but is detected by the present HR-TEM study. Each of the eight NMR peaks at 130–145 ppm observed for Ti2C808 is reproduced by the end-on type (Ti2C2)@C78 model with the accuracy of –1.3 to +0.6 ppm,10 while the intensity of the peak coming from the encaged carbon dimer (which should be one sixth of the full-intensity peaks from the cage) has been below the detection limit. The detailed configurations of the Ti2C2 clusters in the optimized (Ti2C2)@C78 models are shown in Figure S3-1. The Ti–C distances are 1.995 and 2.021–2.053 Å in the end-on and side-on type Ti2C2 clusters, respectively, and they are shorter than the Sc–C distances in the Sc2C2 cluster (which is essentially the side-on type) encapsulated in the (Sc2C2)@C84 molecule (2.263 Å).4 This implies that the carbon dimers in (Ti2C2)@C78 isomers, especially the one in the end-on type, should be more strongly fixed to the Ti atoms than that to the Sc atoms in (Sc 2C2)@C84. The activation energy estimated for the transition of Ti2C2 from the end-on type into the side-on type is as high as 2.11 eV,9 suggesting that the rotational motion of the carbon dimer in the fullerene cage is less likely to occur in (Ti 2C2)@C78 than in (Sc2C2)@C84.5 Even when Ti2C2 takes the side-on type configuration, the Ti atoms favor the one-sided arrangement inside the C78 cage unlike the Sc atoms in (Sc2C2)@C84, hindering the C2 rotation. 6 Figure S3-1. Ti–C bond lengths in the optimized structures of the (Ti 2C2)@C78 isomers having the end-on (a) and side-on (b) type Ti2C2 clusters. Red and yellow balls denote the encaged Ti and C atoms, respectively. Azure-colored hexagonal and pentagonal rings correspond to those in Fig. 3. 7 References 23 K. Hirahara, K. Suenaga, S. Bandow, H. Kato, T. Okazaki, H. Shinohara, S. Iijima, Phys. Rev. Lett. 85, 5384 (2000). 24 A. Hashimoto, K. Suenaga, A. Gloter, K. Urita, S. Iijima, Nature (London) 430, 870 (2004). 25 K. Hirahara, S. Bandow, K. Suenaga, H. Kato, T. Okazaki, H. Shinohara, S. Iijima, Phys. Rev. B 64, 115420 (2001). 8