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A New Type of Sandwich Compound: Homoleptic Bis(trimethylenemethane) Complexes of the First Row Transition Metals Qunchao Fan, a Hao Feng, a.b* Weiguo Sun, a,b Huidong Li, b Yaoming Xie, c R. Bruce King c * and Henry F. Schaefer III c a School of Physics and Chemistry, Research Center for Advanced Computation, Xihua University, Chengdu, China 610039 b Institute of Atomic and Molecular Physics, Sichuan University, Chengdu, Sichuan 610065, China c Department of Chemistry and Center for Computational Chemistry University of Georgia, Athens, Georgia 30602, USA Supporting Information Tables S1 to S16: Atomic coordinates of the optimized structures for the [(CH 2 ) 3 C] 2 M (M =Ti, V, Cr, Mn, Fe, Co, Ni) complexes. Tables S17 to S32: Harmonic vibrational frequencies (in cm –1 ) and infrared intensities (in parentheses in km/mol) for the [(CH 2 ) 3 C] 2 M (M =Ti, V, Cr, Mn, Fe, Co, Ni) complexes. Complete Gaussian09 reference (Reference 30). Electronic Supplementary Material (ESI) for New Journal of Chemistry This journal is © The Royal Society of Chemistry and The Centre National de la Recherche Scientifique 2013

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Page 1: A New Type of Sandwich Compound: Homoleptic Bis ... · A New Type of Sandwich Compound: Homoleptic Bis(trimethylenemethane) Complexes of the First Row Transition Metals Qunchao Fan,a

A New Type of Sandwich Compound: Homoleptic Bis(trimethylenemethane) Complexes

of the First Row Transition Metals

Qunchao Fan,a Hao Feng,a.b* Weiguo Sun,a,b Huidong Li,b Yaoming Xie,c

R. Bruce Kingc* and Henry F. Schaefer IIIc

aSchool of Physics and Chemistry, Research Center for Advanced Computation, Xihua University, Chengdu, China 610039

bInstitute of Atomic and Molecular Physics, Sichuan University, Chengdu, Sichuan 610065, China

cDepartment of Chemistry and Center for Computational Chemistry University of Georgia, Athens, Georgia 30602, USA

Supporting Information

Tables S1 to S16: Atomic coordinates of the optimized structures for the [(CH2)3C]2M (M =Ti, V, Cr, Mn, Fe, Co, Ni) complexes. Tables S17 to S32: Harmonic vibrational frequencies (in cm–1) and infrared intensities

(in parentheses in km/mol) for the [(CH2)3C]2M (M =Ti, V, Cr, Mn, Fe, Co, Ni) complexes.

Complete Gaussian09 reference (Reference 30).

Electronic Supplementary Material (ESI) for New Journal of ChemistryThis journal is © The Royal Society of Chemistry and The Centre National de la Recherche Scientifique 2013

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Table S1. Optimized coordinates for the [(CH2)3C]2Ti structure Ti-1S.

B3LYP BP86 x y z x y z

C 0.000000 1.392589 1.808197 0.000000 1.399604 1.805705 H -0.923438 1.964183 1.915217 -0.931321 1.975924 1.906621 H 0.923438 1.964183 1.915217 0.931321 1.975924 1.906621 C 0.000000 0.000000 2.156918 0.000000 0.000000 2.159257 C -1.206018 -0.696295 1.808197 -1.212093 -0.699802 1.805705 H -1.239314 -1.781812 1.915217 -1.245540 -1.794509 1.906621 H -2.162752 -0.182371 1.915217 -2.176860 -0.181414 1.906621 C 1.206018 -0.696295 1.808197 1.212093 -0.699802 1.805705 H 2.162752 -0.182371 1.915217 2.176860 -0.181414 1.906621 H 1.239314 -1.781812 1.915217 1.245540 -1.794509 1.906621 C 1.206018 -0.696295 -1.808197 1.212093 -0.699802 -1.805705 H 1.239314 -1.781812 -1.915217 1.245540 -1.794509 -1.906621 H 2.162752 -0.182371 -1.915217 2.176860 -0.181414 -1.906621 C 0.000000 0.000000 -2.156918 0.000000 0.000000 -2.159257 C -1.206018 -0.696295 -1.808197 -1.212093 -0.699802 -1.805705 H -2.162752 -0.182371 -1.915217 -2.176860 -0.181414 -1.906621 H -1.239314 -1.781812 -1.915217 -1.245540 -1.794509 -1.906621 C 0.000000 1.392589 -1.808197 0.000000 1.399604 -1.805705 H 0.923438 1.964183 -1.915217 0.931321 1.975924 -1.906621 H -0.923438 1.964183 -1.915217 -0.931321 1.975924 -1.906621 Ti 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000

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Table S2. Optimized coordinates for the [(CH2)3C]2Ti structure Ti-1T.

B3LYP BP86 x y z x y z

C 1.607089 1.391555 -0.432616 1.770360 -1.542593 -0.251798 H 1.548124 2.253768 0.232604 1.690884 -1.963131 -1.264196 H 1.694057 1.624639 -1.492927 1.848094 -2.278125 0.558038 C 2.160523 0.161349 0.066358 2.359923 -0.229693 -0.079294 C 1.847618 -0.125436 1.451605 2.102965 0.746868 -1.121542 H 2.168863 -1.088816 1.855815 2.443994 1.779884 -0.957522 H 1.874274 0.696600 2.168815 2.110859 0.418098 -2.170392 C 2.024588 -0.954580 -0.832592 2.338526 0.266481 1.272325 H 2.119019 -0.788308 -1.906027 2.330496 -0.429553 2.120681 H 2.305585 -1.951083 -0.486248 2.604793 1.309753 1.488598 C -1.853121 -1.343097 -0.439093 -1.581471 0.746864 1.158127 H -2.260672 -2.078493 0.253707 -1.922500 1.779881 0.994112 H -1.719828 -1.689816 -1.464786 -1.589364 0.418090 2.206976 C -2.095130 0.048999 -0.191259 -1.838431 -0.229693 0.115877 C -2.476667 0.433908 1.140246 -1.817035 0.266486 -1.235741 H -2.519376 1.482521 1.426614 -1.809006 -0.429546 -2.084099 H -2.823260 -0.306295 1.858450 -2.083301 1.309759 -1.452010 C -1.479411 1.042019 -1.016749 -1.248869 -1.542594 0.288375 H -1.295126 0.822285 -2.069350 -1.169392 -1.963135 1.300771 H -1.601191 2.094396 -0.772579 -1.326604 -2.278123 -0.521463 Ti 0.095300 -0.227259 0.087296 0.260746 0.141251 0.018291

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Table S3. Optimized coordinates for the [(CH2)3C]2V structure V-1D.

B3LYP BP86 x y z x y z

C 0.000000 1.392359 1.695244 0.000000 1.678536 -1.399674 H 0.921191 1.968145 1.790875 0.928634 1.765569 -1.981281 H -0.921191 1.968145 1.790875 -0.928634 1.765569 -1.981281 C 0.000000 0.000000 2.060647 0.000000 2.061536 -0.001553 C 1.205818 -0.696179 1.695244 1.211556 1.684711 0.698866 H 1.243868 -1.781847 1.790875 1.249729 1.775380 1.793649 H 2.165059 -0.186297 1.790875 2.179387 1.772422 0.185255 C -1.205818 -0.696179 1.695244 -1.211556 1.684711 0.698866 H -2.165059 -0.186297 1.790875 -2.179387 1.772422 0.185255 H -1.243868 -1.781847 1.790875 -1.249729 1.775380 1.793649 C -1.205818 -0.696179 -1.695244 -1.211556 -1.684711 0.698866 H -1.243868 -1.781847 -1.790875 -1.249729 -1.775380 1.793649 H -2.165059 -0.186297 -1.790875 -2.179387 -1.772422 0.185255 C 0.000000 0.000000 -2.060647 0.000000 -2.061536 -0.001553 C 1.205818 -0.696179 -1.695244 1.211556 -1.684711 0.698866 H 2.165059 -0.186297 -1.790875 2.179387 -1.772422 0.185255 H 1.243868 -1.781847 -1.790875 1.249729 -1.775380 1.793649 C 0.000000 1.392359 -1.695244 0.000000 -1.678536 -1.399674 H -0.921191 1.968145 -1.790875 -0.928634 -1.765569 -1.981281 H 0.921191 1.968145 -1.790875 0.928634 -1.765569 -1.981281 V 0.000000 0.000000 0.000000 0.000000 0.000000 0.002237

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Table S4. Optimized coordinates for the [(CH2)3C]2V structure V-1Q.

B3LYP BP86 x y z x y z

C 2.350597 0.088331 1.377401 -0.998775 1.880360 0.865388 H 2.699684 -0.872747 1.763031 -0.755581 2.259574 1.869625 H 2.269643 0.880064 2.123732 -2.061668 1.932259 0.592004 C 2.710348 0.449723 0.022940 0.000000 2.026901 -0.175602 C 2.658852 -0.642027 -0.916562 1.376682 1.958123 0.227378 H 2.780082 -0.426773 -1.978765 2.167323 1.839153 -0.523269 H 3.008239 -1.626081 -0.597298 1.683145 2.278525 1.231585 C 2.122770 1.663297 -0.442353 -0.288225 1.375760 -1.436592 H 1.973714 2.488714 0.253245 -1.327710 1.317342 -1.787201 H 2.213341 1.935042 -1.492766 0.479151 1.374150 -2.219109 C -0.796197 1.211611 -1.115319 0.288225 -1.375760 -1.436592 H -0.527368 0.949222 -2.140347 1.327710 -1.317342 -1.787201 H -0.923398 2.273726 -0.923895 -0.479151 -1.374150 -2.219109 C -1.503897 0.260348 -0.313885 0.000000 -2.026901 -0.175602 C -1.229220 -1.135172 -0.485192 0.998775 -1.880360 0.865388 H -1.686107 -1.854066 0.192831 0.755581 -2.259574 1.869625 H -1.010611 -1.511146 -1.487771 2.061668 -1.932259 0.592004 C -2.127551 0.712983 0.896964 -1.376682 -1.958123 0.227378 H -2.206301 1.774690 1.119018 -2.167323 -1.839153 -0.523269 H -2.564117 0.005078 1.597785 -1.683145 -2.278525 1.231585 V 0.708795 -0.086931 -0.047423 0.000000 0.000000 0.343733

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Table S5. Optimized coordinates for the [(CH2)3C]2Cr structure Cr-1S.

B3LYP BP86 x y z x y z

C 0.000000 1.392942 1.572196 0.000000 1.399928 1.561766 H -0.917253 1.975140 1.661973 -0.924495 1.988007 1.645212 H 0.917253 1.975140 1.661973 0.924495 1.988007 1.645212 C 0.000000 0.000000 1.960664 0.000000 0.000000 1.967696 C -1.206323 -0.696471 1.572196 -1.212373 -0.699964 1.561766 H -1.251895 -1.781935 1.661973 -1.259417 -1.794639 1.645212 H -2.169148 -0.193206 1.661973 -2.183912 -0.193368 1.645212 C 1.206323 -0.696471 1.572196 1.212373 -0.699964 1.561766 H 2.169148 -0.193206 1.661973 2.183912 -0.193368 1.645212 H 1.251895 -1.781935 1.661973 1.259417 -1.794639 1.645212 C 1.206323 -0.696471 -1.572196 1.212373 -0.699964 -1.561766 H 1.251895 -1.781935 -1.661973 1.259417 -1.794639 -1.645212 H 2.169148 -0.193206 -1.661973 2.183912 -0.193368 -1.645212 C 0.000000 0.000000 -1.960664 0.000000 0.000000 -1.967696 C -1.206323 -0.696471 -1.572196 -1.212373 -0.699964 -1.561766 H -2.169148 -0.193206 -1.661973 -2.183912 -0.193368 -1.645212 H -1.251895 -1.781935 -1.661973 -1.259417 -1.794639 -1.645212 C 0.000000 1.392942 -1.572196 0.000000 1.399928 -1.561766 H 0.917253 1.975140 -1.661973 0.924495 1.988007 -1.645212 H -0.917253 1.975140 -1.661973 -0.924495 1.988007 -1.645212 Cr 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000

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Table S6. Optimized coordinates for the [(CH2)3C]2Cr structure Cr-1T.

B3LYP BP86 x y z x y z

C -1.398807 0.025932 1.445103 1.506628 -0.741556 1.214851 H -1.386013 0.949846 2.021547 1.424272 -1.834104 1.270995 H -1.386017 -0.897998 2.021522 1.636693 -0.222742 2.175467 C -1.963586 0.025955 0.123493 2.009563 -0.132380 0.004323 C -1.744315 1.247079 -0.590415 1.511869 -0.800372 -1.176873 H -1.982237 1.292458 -1.654440 1.645798 -0.329737 -2.161509 H -1.784121 2.193281 -0.053462 1.429499 -1.894347 -1.179231 C -1.744316 -1.195144 -0.590460 1.939807 1.304686 -0.029945 H -1.784133 -2.141367 -0.053547 2.131941 1.876029 0.888575 H -1.982234 -1.240477 -1.654488 2.134078 1.832200 -0.973909 C 1.881927 -1.195145 -0.590451 -1.939807 1.304686 -0.029945 H 2.119853 -1.240485 -1.654477 -2.134078 1.832200 -0.973908 H 1.921730 -2.141365 -0.053533 -2.131941 1.876029 0.888575 C 2.101195 0.025954 0.123501 -2.009563 -0.132379 0.004323 C 1.881929 1.247078 -0.590409 -1.511869 -0.800372 -1.176873 H 1.921745 2.193282 -0.053462 -1.429499 -1.894346 -1.179232 H 2.119851 1.292450 -1.654435 -1.645798 -0.329736 -2.161509 C 1.536411 0.025931 1.445109 -1.506628 -0.741556 1.214851 H 1.523614 -0.898003 2.021521 -1.636693 -0.222743 2.175467 H 1.523619 0.949841 2.021559 -1.424272 -1.834104 1.270995 Cr 0.068805 0.025961 -0.198111 0.000000 0.232536 -0.007877

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Table S7. Optimized coordinates for the [(CH2)3C]2Cr structure Cr-1Q.

B3LYP BP86 x y z x y z

C 0.317884 1.518599 1.083004 -1.616665 -1.291869 0.675892 H 1.401420 1.643074 1.142128 -1.610275 -1.394109 1.769794 H -0.222630 1.622621 2.020803 -1.716781 -2.220906 0.102394 C -0.347200 1.790913 -0.150685 -2.059963 -0.052588 0.083235 C 0.317884 1.518599 -1.384374 -1.787318 1.182850 0.774894 H -0.222630 1.622621 -2.322173 -2.009851 2.132951 0.273545 H 1.401420 1.643074 -1.443498 -1.788944 1.199347 1.873387 C -1.776792 1.983035 -0.150685 -1.896463 0.017170 -1.346918 H -2.325415 2.073965 0.783950 -1.892487 -0.900005 -1.949350 H -2.325415 2.073965 -1.085320 -2.030992 0.970212 -1.874074 C 0.317884 -2.226185 -1.374467 1.787318 1.182850 -0.774893 H 0.858734 -2.163920 -2.317442 2.009851 2.132951 -0.273543 H -0.674548 -2.676664 -1.421241 1.788946 1.199348 -1.873386 C 1.057074 -2.290711 -0.150685 2.059963 -0.052588 -0.083234 C 2.243952 -1.466881 -0.150685 1.896460 0.017169 1.346918 H 2.809941 -1.355552 0.774650 1.892485 -0.900007 1.949349 H 2.809941 -1.355552 -1.076020 2.030988 0.970211 1.874076 C 0.317884 -2.226185 1.073097 1.616666 -1.291868 -0.675893 H -0.674548 -2.676664 1.119871 1.610277 -1.394108 -1.769795 H 0.858734 -2.163920 2.016072 1.716782 -2.220906 -0.102395 Cr 0.377335 -0.353382 -0.150685 0.000000 0.089927 0.000000

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Table S8. Optimized coordinates for the [(CH2)3C]2Mn structure Mn-1D.

B3LYP BP86 x y z x y z

C -1.225082 0.610756 1.603691 -1.236564 0.647017 1.606329 H -2.167873 0.076529 1.700313 -2.190871 0.118151 1.718416 H -1.284417 1.691082 1.740589 -1.296560 1.740160 1.712399 C 0.006834 -0.074175 1.890757 -0.000007 -0.036424 1.945061 C 0.006686 -1.436568 1.425001 -0.000089 -1.403856 1.458886 H 0.929379 -2.014544 1.439427 0.928916 -1.989016 1.479953 H -0.916130 -2.014346 1.439444 -0.929164 -1.988904 1.479975 C 1.238891 0.610513 1.603721 1.236630 0.646875 1.606278 H 1.298455 1.690820 1.740655 1.296777 1.740011 1.712355 H 2.181565 0.076080 1.700340 2.190872 0.117900 1.718413 C 1.238891 0.610513 -1.731621 1.236630 0.646875 -1.606278 H 2.181565 0.076080 -1.828240 2.190872 0.117900 -1.718413 H 1.298455 1.690820 -1.868555 1.296777 1.740011 -1.712355 C 0.006834 -0.074175 -2.018657 -0.000007 -0.036424 -1.945061 C 0.006686 -1.436568 -1.552901 -0.000089 -1.403856 -1.458886 H -0.916130 -2.014346 -1.567344 -0.929164 -1.988904 -1.479975 H 0.929379 -2.014544 -1.567327 0.928916 -1.989016 -1.479953 C -1.225082 0.610756 -1.731591 -1.236564 0.647017 -1.606329 H -1.284417 1.691082 -1.868489 -1.296560 1.740160 -1.712399 H -2.167873 0.076529 -1.828213 -2.190871 0.118151 -1.718416 Mn 0.006863 0.087416 -0.063950 0.000017 0.091202 0.000000

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Table S9. Optimized coordinates for the [(CH2)3C]2Mn structure Mn-1Q.

B3LYP BP86 x y z x y z

C -0.663078 1.915040 1.166562 -0.511065 1.903820 1.194583 H -1.746754 2.010118 1.217882 -1.589511 2.014522 1.369159 H -0.116707 2.069466 2.096069 0.150656 2.140311 2.038718 C 0.002444 2.149888 -0.083537 0.000000 1.976788 -0.150163 C -0.732425 1.760488 -1.253054 -0.885223 1.420249 -1.153639 H -0.240576 1.783759 -2.223739 -0.523235 1.312344 -2.183473 H -1.817590 1.847453 -1.252704 -1.968871 1.540297 -1.030765 C 1.402680 1.835323 -0.101128 1.388638 1.617278 -0.297232 H 1.991904 1.985819 0.802383 2.089046 1.856571 0.514613 H 1.943227 1.862270 -1.045609 1.819202 1.520691 -1.299977 C 0.737313 -1.538022 -1.253054 0.885223 -1.420249 -1.153639 H 0.245464 -1.561293 -2.223739 0.523235 -1.312344 -2.183473 H 1.822478 -1.624987 -1.252704 1.968871 -1.540297 -1.030765 C 0.002444 -1.927422 -0.083537 0.000000 -1.976788 -0.150163 C -1.397792 -1.612857 -0.101128 -1.388638 -1.617278 -0.297232 H -1.987016 -1.763353 0.802383 -2.089046 -1.856571 0.514613 H -1.938339 -1.639804 -1.045609 -1.819202 -1.520691 -1.299977 C 0.667966 -1.692574 1.166562 0.511065 -1.903820 1.194583 H 1.751642 -1.787652 1.217882 1.589511 -2.014522 1.369159 H 0.121595 -1.847000 2.096069 -0.150656 -2.140311 2.038718 Mn 0.002444 0.111233 0.059807 0.000000 0.000000 0.242434

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Table S10. Optimized coordinates for the [(CH2)3C]2Fe structure Fe-1S.

B3LYP BP86 x y z x y z

C -1.315849 -0.000023 1.418016 -1.199040 -0.054569 1.447048 H -1.304985 0.921539 1.997808 -1.188708 0.875847 2.030293 H -1.304979 -0.921614 1.997764 -1.188700 -0.985006 2.030257 C -1.903457 -0.000001 0.105036 -1.761493 -0.054548 0.114416 C -1.656266 1.235645 -0.586372 -1.472146 1.192540 -0.565834 H -1.863725 1.303095 -1.655468 -1.623077 1.267286 -1.653272 H -1.722456 2.173213 -0.039410 -1.568109 2.134818 -0.014306 C -1.656263 -1.235627 -0.586411 -1.472145 -1.301617 -0.565874 H -1.722466 -2.173209 -0.039474 -1.568117 -2.243911 -0.014377 H -1.863720 -1.303044 -1.655510 -1.623076 -1.376323 -1.653315 C 1.656270 -1.235624 -0.586409 1.773419 -1.301612 -0.565872 H 1.863734 -1.303035 -1.655506 1.924355 -1.376318 -1.653312 H 1.722460 -2.173211 -0.039480 1.869381 -2.243910 -0.014378 C 1.903457 -0.000002 0.105044 2.062760 -0.054548 0.114424 C 1.656264 1.235648 -0.586360 1.773413 1.192544 -0.565822 H 1.722462 2.173210 -0.039388 1.869380 2.134818 -0.014290 H 1.863725 1.303104 -1.655454 1.924349 1.267291 -1.653259 C 1.315842 -0.000026 1.418020 1.500303 -0.054574 1.447054 H 1.304978 -0.921608 1.997782 1.489969 -0.985008 2.030268 H 1.304968 0.921545 1.997799 1.489959 0.875845 2.030293 Fe 0.000000 0.000003 -0.208263 0.150634 -0.054545 -0.140783

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Table S11. Optimized coordinates for the [(CH2)3C]2Fe structure Fe-1T.

B3LYP BP86 x y z x y z

C 0.000000 1.400464 1.606559 0.000000 1.404442 1.569795 H -0.921874 1.972398 1.694845 -0.928794 1.983285 1.650706 H 0.921874 1.972398 1.694845 0.928794 1.983285 1.650706 C 0.000000 0.000000 1.938679 0.000000 0.000000 1.929838 C -1.212837 -0.700232 1.606559 -1.216283 -0.702221 1.569795 H -1.247210 -1.784566 1.694845 -1.253178 -1.796002 1.650706 H -2.169084 -0.187832 1.694845 -2.181972 -0.187283 1.650706 C 1.212837 -0.700232 1.606559 1.216283 -0.702221 1.569795 H 2.169084 -0.187832 1.694845 2.181972 -0.187283 1.650706 H 1.247210 -1.784566 1.694845 1.253178 -1.796002 1.650706 C 1.212837 -0.700232 -1.606559 1.216283 -0.702221 -1.569795 H 1.247210 -1.784566 -1.694845 1.253178 -1.796002 -1.650706 H 2.169084 -0.187832 -1.694845 2.181972 -0.187283 -1.650706 C 0.000000 0.000000 -1.938679 0.000000 0.000000 -1.929838 C -1.212837 -0.700232 -1.606559 -1.216283 -0.702221 -1.569795 H -2.169084 -0.187832 -1.694845 -2.181972 -0.187283 -1.650706 H -1.247210 -1.784566 -1.694845 -1.253178 -1.796002 -1.650706 C 0.000000 1.400464 -1.606559 0.000000 1.404442 -1.569795 H 0.921874 1.972398 -1.694845 0.928794 1.983285 -1.650706 H -0.921874 1.972398 -1.694845 -0.928794 1.983285 -1.650706 Fe 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000

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Table S12. Optimized coordinates for the [(CH2)3C]2Fe structure Fe-1Q.

B3LYP BP86 x y z x y z

C -2.501637 -0.000024 1.461014 1.569538 1.235228 -0.611566 H -2.682241 0.932741 1.990084 1.691986 2.204209 -0.108739 H -2.682228 -0.932814 1.990045 1.659118 1.272903 -1.708868 C -2.078851 -0.000001 0.115250 2.040152 0.022884 0.066141 C -1.635251 1.211960 -0.564098 2.493986 0.022872 1.410318 H -1.761818 1.257710 -1.648983 2.685270 -0.917462 1.939613 H -1.758123 2.167602 -0.055340 2.685233 0.963194 1.939649 C -1.635258 -1.211936 -0.564142 1.569541 -1.189450 -0.611585 H -1.758142 -2.167601 -0.055430 1.659129 -1.227123 -1.708886 H -1.761813 -1.257638 -1.649030 1.691976 -2.158435 -0.108762 C 1.635264 -1.211943 -0.564128 -1.628269 -1.189447 -0.611589 H 1.761846 -1.257657 -1.649012 -1.750710 -2.158437 -0.108775 H 1.758126 -2.167601 -0.055398 -1.717868 -1.227107 -1.708890 C 2.078850 -0.000003 0.115267 -2.098884 0.022885 0.066142 C 1.635274 1.211955 -0.564093 -2.552725 0.022868 1.410316 H 1.758151 2.167603 -0.055348 -2.743986 0.963188 1.939644 H 1.761844 1.257691 -1.648978 -2.743998 -0.917471 1.939607 C 2.501595 -0.000025 1.461045 -1.628268 1.235230 -0.611564 H 2.682180 -0.932807 1.990090 -1.717857 1.272907 -1.708866 H 2.682171 0.932747 1.990112 -1.750713 2.204211 -0.108737 Fe 0.000005 0.000005 -0.250750 -0.029368 0.022885 -0.198661

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Table S13. Optimized coordinates for the [(CH2)3C]2Co structure Co-1D.

B3LYP BP86 x y z x y z

C -0.693509 1.852334 0.868539 -1.435632 0.352298 1.390548 H -0.475221 1.997336 1.925891 -1.478095 1.402575 1.706455 H -1.696370 2.122359 0.546420 -1.427098 -0.397682 2.189942 C 0.385349 1.865780 -0.083857 -1.901210 -0.016279 0.071840 C 1.636653 1.321105 0.364434 -1.650752 1.016407 -0.914659 H 2.441776 1.181031 -0.354193 -1.786592 0.793130 -1.981800 H 1.939844 1.456387 1.400875 -1.735930 2.070099 -0.626181 C 0.000000 1.467251 -1.408651 -1.578115 -1.371900 -0.315881 H -1.000312 1.696908 -1.770983 -1.608144 -2.163141 0.443399 H 0.764891 1.313757 -2.165751 -1.749854 -1.693482 -1.350972 C 0.000000 -1.467251 -1.408651 1.650752 -1.016379 -0.914691 H 1.000312 -1.696908 -1.770983 1.786590 -0.793073 -1.981826 H -0.764891 -1.313757 -2.165751 1.735918 -2.070078 -0.626240 C -0.385349 -1.865780 -0.083857 1.901210 0.016274 0.071841 C 0.693509 -1.852334 0.868539 1.578125 1.371912 -0.315831 H 0.475221 -1.997336 1.925891 1.608154 2.163119 0.443484 H 1.696370 -2.122359 0.546420 1.749868 1.693526 -1.350911 C -1.636653 -1.321105 0.364434 1.435624 -0.352351 1.390536 H -2.441776 -1.181031 -0.354193 1.478084 -1.402641 1.706401 H -1.939844 -1.456387 1.400875 1.427097 0.397591 2.189965 Co 0.000000 0.000000 0.146293 0.000000 0.000006 -0.131257

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Table S14. Optimized coordinates for the [(CH2)3C]2Co structure Co-1Q.

B3LYP BP86 x y z x y z

C 1.217888 1.597658 0.582076 1.213284 1.563045 0.627297 H 2.166210 1.737237 0.065798 2.179568 1.657417 0.114143 H 1.279150 1.626824 1.670954 1.260630 1.623382 1.723715 C 0.000000 2.009230 -0.066182 0.000000 1.983132 -0.056964 C 0.000000 2.417584 -1.442969 0.000000 2.287219 -1.457496 H -0.934048 2.574571 -1.976976 -0.941133 2.411934 -2.003966 H 0.934048 2.574571 -1.976976 0.941133 2.411934 -2.003966 C -1.217888 1.597658 0.582076 -1.213284 1.563045 0.627297 H -1.279150 1.626824 1.670954 -1.260630 1.623382 1.723715 H -2.166210 1.737237 0.065798 -2.179568 1.657417 0.114143 C -1.217888 -1.597658 0.582076 -1.213284 -1.563045 0.627297 H -2.166210 -1.737237 0.065798 -2.179568 -1.657417 0.114143 H -1.279150 -1.626824 1.670954 -1.260630 -1.623382 1.723715 C 0.000000 -2.009230 -0.066182 0.000000 -1.983132 -0.056964 C 0.000000 -2.417584 -1.442969 0.000000 -2.287219 -1.457496 H 0.934048 -2.574571 -1.976976 0.941133 -2.411934 -2.003966 H -0.934048 -2.574571 -1.976976 -0.941133 -2.411934 -2.003966 C 1.217888 -1.597658 0.582076 1.213284 -1.563045 0.627297 H 1.279150 -1.626824 1.670954 1.260630 -1.623382 1.723715 H 2.166210 -1.737237 0.065798 2.179568 -1.657417 0.114143 Co 0.000000 0.000000 0.188922 0.000000 0.000000 0.140105

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Table S15. Optimized coordinates for the [(CH2)3C]2Ni structure Ni-1S.

B3LYP BP86 x y z x y z

C 0.000000 1.398859 1.566884 0.000000 1.407920 1.558834 H -0.925338 1.965971 1.642634 -0.933260 1.978951 1.633267 H 0.925338 1.965971 1.642634 0.933260 1.978951 1.633267 C 0.000000 0.000000 1.898402 0.000000 0.000000 1.895899 C -1.211448 -0.699430 1.566884 -1.219295 -0.703960 1.558834 H -1.239911 -1.784352 1.642634 -1.247192 -1.797702 1.633267 H -2.165250 -0.181619 1.642634 -2.180452 -0.181248 1.633267 C 1.211448 -0.699430 1.566884 1.219295 -0.703960 1.558834 H 2.165250 -0.181619 1.642634 2.180452 -0.181248 1.633267 H 1.239911 -1.784352 1.642634 1.247192 -1.797702 1.633267 C 0.000000 -1.398859 -1.566884 0.000000 -1.407920 -1.558834 H -0.925338 -1.965971 -1.642634 -0.933260 -1.978951 -1.633267 H 0.925338 -1.965971 -1.642634 0.933260 -1.978951 -1.633267 C 0.000000 0.000000 -1.898402 0.000000 0.000000 -1.895899 C -1.211448 0.699430 -1.566884 -1.219295 0.703960 -1.558834 H -1.239911 1.784352 -1.642634 -1.247192 1.797702 -1.633267 H -2.165250 0.181619 -1.642634 -2.180452 0.181248 -1.633267 C 1.211448 0.699430 -1.566884 1.219295 0.703960 -1.558834 H 2.165250 0.181619 -1.642634 2.180452 0.181248 -1.633267 H 1.239911 1.784352 -1.642634 1.247192 1.797702 -1.633267 Ni 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000

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Table S16. Optimized coordinates for the [(CH2)3C]2Ni structure Ni-1T.

B3LYP BP86 x y z x y z

C -2.146802 -1.462740 0.002127 2.135123 -1.591965 -0.000004 H -2.239905 -2.011254 0.936265 2.205988 -2.147802 -0.941526 H -2.239885 -2.011281 -0.931996 2.205976 -2.147823 0.941506 C -1.898367 -0.053174 0.002121 1.937400 -0.171125 0.000005 C -1.559116 0.641273 1.216424 1.603972 0.538742 -1.221391 H -1.722454 1.719706 1.273995 1.779395 1.624085 -1.274896 H -1.625805 0.113537 2.165628 1.659973 0.008934 -2.179949 C -1.559114 0.641284 -1.212169 1.603968 0.538738 1.221400 H -1.625804 0.113596 -2.161400 1.659961 0.008937 2.179962 H -1.722411 1.719726 -1.269694 1.779385 1.624082 1.274902 C 1.667979 0.641276 -1.212165 -1.603969 0.538743 1.221392 H 1.831317 1.719708 -1.269735 -1.779388 1.624086 1.274898 H 1.734669 0.113541 -2.161370 -1.659971 0.008933 2.179949 C 2.007231 -0.053173 0.002137 -1.937400 -0.171121 -0.000005 C 1.667977 0.641282 1.216428 -1.603966 0.538742 -1.221399 H 1.734667 0.113593 2.165657 -1.659961 0.008941 -2.179961 H 1.831273 1.719724 1.273955 -1.779379 1.624086 -1.274901 C 2.255668 -1.462738 0.002129 -2.135131 -1.591960 0.000003 H 2.348772 -2.011251 -0.932010 -2.205999 -2.147798 0.941524 H 2.348752 -2.011281 0.936251 -2.205987 -2.147817 -0.941508 Ni 0.054432 0.515021 0.002129 0.000001 0.367371 0.000000

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Table S17. Harmonic vibrational frequencies (in cm-1) and infrared intensities (in parentheses, in km/mol) for the structure Ti-1S of [(CH2)3C]2Ti.

B3LYP BP86 B3LYP BP86 B3LYP BP86 56( 2) 48( 3) 757( 0) 726( 0) 1360( 26) 1320( 19) 56( 2) 48( 3) 757( 0) 726( 0) 1488( 0) 1438( 0) 124( 0) 129( 0) 786( 122) 751( 99) 1488( 0) 1438( 0) 190( 0) 188( 0) 786( 122) 751( 99) 1494( 74) 1445( 73) 190( 0) 188( 0) 803( 0) 775( 0) 1494( 74) 1445( 72) 292( 1) 290( 0) 832( 46) 801( 73) 1504( 2) 1452( 1) 292( 1) 290( 0) 880( 122) 837( 89) 1506( 0) 1454( 0) 308( 0) 299( 0) 894( 0) 851( 0) 3112( 4) 3039( 5) 441( 0) 424( 0) 956( 0) 918( 0) 3112( 4) 3039( 5) 441( 0) 424( 0) 959( 0) 921( 0) 3113( 0) 3040( 0) 444( 0) 427( 0) 966( 5) 944( 8) 3113( 0) 3040( 0) 444( 0) 427( 0) 974( 0) 949( 0) 3123( 1) 3049( 0) 481( 50) 466( 35) 1044( 0) 1010( 0) 3124( 0) 3050( 0) 566( 0) 530( 0) 1044( 0) 1010( 0) 3202( 0) 3130( 0) 607( 0) 578( 0) 1044( 13) 1010( 12) 3203( 0) 3131( 0) 709( 0) 680( 0) 1044( 13) 1010( 12) 3209( 0) 3136( 0) 709( 0) 680( 0) 1354( 0) 1315( 0) 3209( 0) 3136( 0) 734( 0) 705( 1) 1354( 0) 1315( 0) 3210( 27) 3137( 29) 734( 0) 705( 1) 1360( 26) 1320( 19) 3210( 27) 3137( 29)

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Table S18. Harmonic vibrational frequencies (in cm-1) and infrared intensities (in parentheses, in km/mol) for the structure Ti-1T of [(CH2)3C]2Ti.

B3LYP BP86 B3LYP BP86 B3LYP BP86 62( 0) 85( 0) 722( 1) 702( 18) 1372( 1) 1316( 1) 72( 4) 104( 0) 726( 32) 714( 18) 1475( 29) 1426( 14) 102( 2) 127( 58) 760( 30) 728( 17) 1479( 4) 1428( 15) 118( 0) 132( 0) 772( 22) 740( 14) 1484( 19) 1432( 1) 211( 13) 200( 0) 786( 47) 771( 22) 1495( 17) 1435( 11) 275( 4) 271( 25) 808( 53) 781( 32) 1498( 1) 1450( 5) 293( 5) 276( 5) 829( 28) 803( 2) 1501( 2) 1452( 0) 327( 3) 332( 3) 880( 10) 831( 4) 3106( 5) 3045( 7) 409( 1) 393( 10) 922( 7) 911( 0) 3118( 5) 3045( 4) 416( 2) 403( 0) 948( 6) 913( 2) 3128( 1) 3061( 5) 427( 1) 410( 0) 949( 1) 915( 2) 3132( 6) 3062( 10) 433( 1) 411( 1) 953( 0) 916( 6) 3137( 3) 3069( 8) 440( 1) 416( 0) 1021( 7) 996( 0) 3158( 2) 3069( 0) 472( 1) 539( 0) 1028( 2) 997( 1) 3192( 8) 3133( 6) 558( 8) 555( 1) 1034( 3) 1000( 0) 3208( 6) 3133( 7) 594( 3) 589( 0) 1040( 3) 1004( 0) 3219( 2) 3156( 10) 627( 3) 611( 2) 1332( 19) 1298( 0) 3222( 9) 3156( 1) 687( 5) 648( 2) 1347( 16) 1309( 5) 3236( 4) 3167( 1) 712( 6) 665( 2) 1354( 4) 1315( 31) 3266( 3) 3167( 8)

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Table S19. Harmonic vibrational frequencies (in cm-1) and infrared intensities (in parentheses, in km/mol) for the structure V-1D of [(CH2)3C]2V.

B3LYP BP86 B3LYP BP86 B3LYP BP86 82( 0) 92( 0) 780( 0) 755( 0) 1353( 0) 1313( 12) 82( 0) 96( 0) 780( 0) 755( 0) 1486( 0) 1432( 0) 140( 0) 143( 0) 789( 0) 756( 0) 1486( 0) 1432( 0) 249( 0) 250( 0) 793( 1) 765( 3) 1488( 55) 1435( 50) 249( 0) 252( 0) 817( 84) 786( 59) 1488( 55) 1435( 50) 307( 0) 308( 0) 817( 84) 786( 58) 1503( 1) 1448( 1) 359( 2) 363( 1) 887( 67) 844( 60) 1506( 0) 1451( 0) 359( 2) 363( 1) 909( 0) 867( 0) 3121( 5) 3047( 7) 437( 0) 423( 0) 948( 0) 909( 0) 3121( 5) 3047( 7) 437( 0) 424( 0) 952( 0) 912( 0) 3122( 0) 3048( 0) 441( 0) 426( 0) 972( 9) 949( 15) 3122( 0) 3048( 0) 441( 0) 427( 0) 975( 0) 949( 0) 3131( 1) 3056( 0) 471( 7) 457( 2) 1037( 0) 1002( 0) 3133( 0) 3057( 0) 591( 0) 559( 0) 1037( 0) 1002( 0) 3211( 0) 3138( 0) 647( 0) 625( 0) 1040( 4) 1005( 3) 3211( 0) 3138( 0) 720( 0) 690( 0) 1040( 4) 1006( 3) 3216( 14) 3142( 0) 720( 0) 690( 0) 1352( 20) 1312( 0) 3216( 14) 3142( 0) 723( 0) 692( 0) 1352( 20) 1312( 0) 3217( 0) 3142( 15) 723( 0) 693( 0) 1353( 0) 1313( 12) 3217( 0) 3143( 15)

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Table S20. Harmonic vibrational frequencies (in cm-1) and infrared intensities (in parentheses, in km/mol) for the structure V-1Q of [(CH2)3C]2V.

B3LYP BP86 B3LYP BP86 B3LYP BP86 56( 4) 102( 1) 743( 5) 716( 7) 1376( 2) 1327( 3) 68( 1) 106( 0) 747( 11) 723( 16) 1479( 30) 1431( 9) 77( 1) 136( 4) 765( 23) 744( 6) 1481( 5) 1434( 22) 124( 1) 144( 35) 780( 18) 765( 13) 1491( 22) 1438( 4) 236( 6) 201( 0) 788( 78) 770( 18) 1497( 13) 1442( 8) 272( 8) 276( 17) 818( 54) 797( 35) 1501( 6) 1454( 15) 299( 3) 296( 1) 838( 36) 830( 6) 1507( 14) 1456( 3) 315( 2) 336( 5) 884( 20) 852( 2) 3106( 5) 3043( 4) 387( 2) 400( 0) 923( 8) 919( 0) 3115( 7) 3043( 6) 421( 1) 404( 0) 950( 0) 919( 0) 3116( 1) 3066( 6) 432( 1) 412( 4) 957( 0) 922( 2) 3132( 2) 3067( 15) 435( 2) 414( 3) 961( 5) 927( 7) 3137( 7) 3073( 0) 435( 0) 418( 0) 1025( 2) 1000( 1) 3160( 2) 3073( 8) 449( 6) 560( 1) 1026( 7) 1001( 1) 3196( 8) 3133( 9) 558( 18) 572( 0) 1037( 5) 1006( 0) 3205( 9) 3134( 8) 615( 6) 617( 0) 1044( 3) 1008( 1) 3216( 3) 3164( 2) 626( 3) 641( 4) 1342( 8) 1298( 2) 3230( 9) 3165( 12) 701( 8) 669( 4) 1348( 14) 1315( 8) 3238( 4) 3174( 2) 716( 6) 692( 4) 1367( 12) 1324( 28) 3271( 4) 3174( 10)

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Table S21. Harmonic vibrational frequencies (in cm-1) and infrared intensities (in parentheses, in km/mol) for the structure Cr-1S of [(CH2)3C]2Cr.

B3LYP BP86 B3LYP BP86 B3LYP BP86 154( 0) 155( 0) 752( 5) 726( 0) 1356( 0) 1312( 0) 160( 2) 165( 2) 766( 0) 728( 2) 1484( 29) 1428( 0) 160( 2) 165( 2) 856( 0) 825( 0) 1484( 29) 1428( 0) 314( 0) 307( 0) 856( 0) 825( 0) 1485( 0) 1429( 25) 314( 0) 307( 0) 895( 24) 858( 12) 1485( 0) 1429( 25) 336( 0) 332( 0) 895( 24) 858( 12) 1499( 1) 1443( 1) 414( 1) 403( 1) 908( 21) 861( 19) 1504( 0) 1448( 0) 414( 1) 403( 1) 935( 0) 893( 0) 3127( 0) 3052( 0) 450( 0) 439( 0) 935( 0) 894( 0) 3127( 0) 3052( 0) 450( 0) 439( 0) 939( 0) 899( 0) 3127( 12) 3052( 15) 458( 1) 455( 1) 985( 0) 954( 0) 3127( 12) 3052( 15) 458( 1) 455( 1) 986( 12) 960( 17) 3135( 2) 3059( 1) 473( 4) 456( 14) 1028( 0) 993( 0) 3136( 0) 3060( 0) 614( 0) 574( 0) 1028( 0) 993( 0) 3213( 0) 3138( 0) 694( 0) 668( 0) 1039( 0) 1005( 0) 3214( 0) 3139( 0) 705( 1) 672( 0) 1039( 0) 1005( 0) 3218( 13) 3143( 0) 706( 1) 672( 0) 1352( 3) 1311( 1) 3218( 13) 3143( 0) 715( 0) 675( 0) 1352( 3) 1311( 1) 3218( 0) 3143( 13) 715( 0) 675( 0) 1356( 0) 1312( 0) 3218( 0) 3143( 13)

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Table S22. Harmonic vibrational frequencies (in cm-1) and infrared intensities (in parentheses, in km/mol) for the structure Cr-1T of [(CH2)3C]2Cr.

B3LYP BP86 B3LYP BP86 B3LYP BP86 15( 1) 69( 0) 771( 0) 746( 0) 1376( 19) 1336( 5) 62( 0) 82( 0) 775( 2) 747( 0) 1491( 7) 1437( 0) 134( 0) 136( 0) 783( 2) 773( 1) 1497( 24) 1444( 27) 220( 7) 247( 0) 794( 92) 780( 55) 1501( 0) 1452( 4) 242( 0) 258( 0) 821( 12) 805( 0) 1503( 82) 1453( 4) 260( 6) 274( 1) 844( 31) 842( 12) 1507( 0) 1453( 39) 270( 0) 325( 5) 880( 49) 849( 59) 1512( 3) 1459( 16) 309( 5) 346( 1) 908( 1) 876( 0) 3123( 2) 3053( 0) 410( 2) 405( 5) 956( 0) 915( 0) 3124( 0) 3053( 12) 417( 1) 411( 0) 959( 0) 919( 0) 3129( 0) 3053( 0) 434( 2) 416( 0) 976( 6) 957( 12) 3129( 14) 3054( 15) 441( 2) 421( 0) 978( 0) 958( 0) 3141( 1) 3061( 1) 442( 0) 445( 1) 1037( 2) 1004( 0) 3142( 4) 3062( 0) 619( 3) 604( 0) 1041( 2) 1007( 1) 3222( 6) 3147( 7) 639( 0) 632( 0) 1044( 0) 1009( 0) 3222( 0) 3148( 0) 720( 4) 674( 8) 1046( 10) 1012( 3) 3226( 0) 3150( 3) 725( 1) 703( 0) 1351( 4) 1314( 0) 3227( 17) 3152( 0) 734( 0) 714( 0) 1359( 5) 1321( 3) 3236( 0) 3154( 0) 752( 2) 720( 2) 1375( 0) 1335( 1) 3238( 16) 3156( 23)

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Table S23. Harmonic vibrational frequencies (in cm-1) and infrared intensities (in parentheses, in km/mol) for the structure Cr-1Q of [(CH2)3C]2Cr.

B3LYP BP86 B3LYP BP86 B3LYP BP86 50( 1) 43( 0) 726( 16) 687( 3) 1381( 1) 1324( 3) 70( 0) 68( 63) 747( 6) 730( 6) 1482( 12) 1433( 2) 75( 0) 103( 0) 750( 18) 745( 73) 1483( 21) 1438( 1) 118( 1) 137( 33) 779( 84) 747( 13) 1499( 1) 1442( 16) 196( 31) 206( 1) 786( 8) 770( 4) 1501( 59) 1442( 38) 248( 0) 207( 1) 802( 53) 783( 22) 1504( 15) 1455( 0) 266( 1) 232( 12) 824( 130) 800( 12) 1507( 1) 1455( 3) 300( 8) 279( 1) 869( 30) 825( 1) 3121( 0) 3059( 6) 360( 6) 333( 0) 921( 3) 920( 0) 3121( 8) 3060( 1) 412( 6) 358( 9) 949( 0) 922( 0) 3126( 3) 3064( 1) 416( 0) 406( 1) 960( 0) 934( 4) 3129( 2) 3064( 15) 433( 5) 407( 1) 967( 3) 935( 0) 3133( 2) 3072( 6) 435( 0) 414( 0) 1023( 7) 1004( 0) 3160( 2) 3072( 0) 447( 17) 566( 0) 1028( 2) 1005( 5) 3218( 2) 3157( 4) 530( 23) 572( 1) 1038( 3) 1005( 1) 3224( 6) 3158( 4) 606( 19) 587( 0) 1045( 5) 1006( 0) 3227( 11) 3163( 16) 629( 0) 610( 3) 1346( 6) 1309( 1) 3229( 5) 3163( 1) 693( 7) 679( 0) 1350( 3) 1309( 0) 3231( 1) 3175( 0) 720( 11) 680( 2) 1374( 16) 1316( 20) 3272( 5) 3176( 7)

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Table S24. Harmonic vibrational frequencies (in cm-1) and infrared intensities (in parentheses, in km/mol) for the structure Mn-1D of [(CH2)3C]2Mn.

B3LYP BP86 B3LYP BP86 B3LYP BP86 81( 0) 103( 15) 738( 7) 739( 6) 1380( 0) 1330( 0) 129( 16) 120( 0) 755( 4) 742( 0) 1490( 2) 1435( 1) 129( 0) 171( 2) 812( 0) 809( 0) 1492( 10) 1437( 12) 247( 2) 303( 2) 853( 18) 837( 12) 1497( 31) 1440( 31) 277( 14) 318( 0) 859( 36) 855( 11) 1501( 0) 1442( 0) 294( 0) 323( 0) 880( 15) 870( 4) 1509( 0) 1456( 0) 312( 50) 337( 6) 893( 15) 880( 18) 1513( 3) 1460( 3) 354( 7) 384( 1) 907( 7) 906( 2) 3132( 3) 3053( 0) 359( 1) 390( 1) 948( 0) 907( 0) 3133( 0) 3053( 8) 395( 2) 417( 0) 951( 0) 911( 0) 3136( 0) 3056( 0) 427( 3) 438( 5) 979( 0) 960( 0) 3137( 14) 3057( 24) 429( 1) 440( 0) 980( 8) 963( 13) 3144( 2) 3062( 2) 444( 0) 446( 9) 1026( 1) 995( 0) 3146( 3) 3063( 2) 613( 45) 604( 16) 1034( 0) 1002( 0) 3228( 9) 3148( 7) 668( 0) 662( 1) 1037( 0) 1005( 0) 3229( 0) 3149( 0) 684( 7) 668( 0) 1042( 2) 1010( 0) 3232( 13) 3151( 1) 725( 1) 700( 0) 1354( 0) 1315( 0) 3232( 1) 3152( 11) 725( 0) 705( 2) 1356( 0) 1316( 0) 3239( 24) 3153( 22) 732( 0) 718( 0) 1377( 2) 1330( 1) 3239( 0) 3154( 0)

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Table S25. Harmonic vibrational frequencies (in cm-1) and infrared intensities (in parentheses, in km/mol) for the structure Mn-1Q of [(CH2)3C]2Mn.

B3LYP BP86 B3LYP BP86 B3LYP BP86 23( 0) 61( 0) 776( 2) 743( 1) 1371( 0) 1337( 1) 34( 0) 107( 1) 790( 58) 763( 20) 1491( 48) 1443( 18) 50( 0) 126( 1) 794( 4) 776( 3) 1491( 50) 1446( 19) 210( 1) 242( 3) 796( 33) 779( 2) 1499( 1) 1453( 26) 212( 1) 257( 2) 797( 83) 808( 17) 1500( 1) 1457( 6) 234( 0) 268( 0) 799( 1) 808( 30) 1510( 0) 1458( 14) 235( 0) 276( 1) 859( 45) 835( 55) 1511( 0) 1459( 1) 266( 0) 299( 2) 875( 2) 855( 6) 3137( 2) 3059( 1) 426( 0) 403( 0) 960( 0) 922( 0) 3138( 2) 3059( 6) 426( 0) 407( 1) 962( 0) 923( 0) 3141( 2) 3066( 11) 442( 0) 419( 1) 963( 17) 948( 0) 3142( 1) 3066( 3) 443( 0) 422( 0) 966( 0) 949( 14) 3148( 2) 3072( 2) 444( 11) 431( 4) 1041( 9) 1008( 3) 3148( 0) 3072( 2) 628( 0) 623( 1) 1041( 9) 1009( 4) 3236( 0) 3157( 1) 636( 0) 634( 0) 1045( 0) 1011( 1) 3236( 3) 3157( 7) 727( 0) 699( 0) 1045( 0) 1012( 0) 3242( 7) 3166( 7) 727( 0) 717( 1) 1355( 11) 1323( 1) 3242( 3) 3167( 1) 740( 1) 724( 1) 1355( 11) 1326( 2) 3245( 5) 3170( 14) 741( 0) 731( 2) 1371( 1) 1335( 4) 3245( 4) 3170( 0)

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Table S26. Harmonic vibrational frequencies (in cm-1) and infrared intensities (in parentheses, in km/mol) for the structure Fe-1S of [(CH2)3C]2Fe.

B3LYP BP86 B3LYP BP86 B3LYP BP86 79( 0) 69( 0) 785( 0) 751( 11) 1383( 3) 1339( 0) 106( 11) 91( 14) 817( 0) 761( 0) 1495( 2) 1438( 1) 160( 4) 170( 2) 827( 0) 803( 0) 1496( 6) 1441( 5) 308( 0) 302( 5) 868( 34) 830( 26) 1504( 0) 1448( 33) 313( 8) 309( 0) 877( 16) 844( 10) 1505( 44) 1449( 0) 330( 0) 326( 0) 894( 7) 860( 3) 1513( 0) 1462( 0) 343( 9) 339( 6) 953( 0) 913( 0) 1520( 3) 1470( 3) 394( 7) 355( 0) 954( 15) 916( 14) 3129( 7) 3050( 8) 408( 0) 389( 3) 957( 0) 917( 0) 3129( 0) 3050( 0) 417( 0) 408( 1) 970( 1) 936( 1) 3134( 0) 3053( 0) 429( 6) 424( 9) 1007( 0) 973( 1) 3135( 25) 3055( 37) 443( 0) 431( 0) 1010( 6) 975( 8) 3142( 3) 3059( 3) 474( 7) 451( 13) 1034( 0) 1001( 0) 3144( 10) 3060( 6) 656( 15) 618( 20) 1040( 1) 1005( 0) 3229( 8) 3151( 0) 686( 0) 656( 0) 1041( 0) 1008( 1) 3229( 0) 3152( 0) 734( 2) 699( 1) 1051( 1) 1013( 1) 3232( 1) 3154( 0) 753( 3) 722( 4) 1357( 0) 1319( 1) 3233( 14) 3154( 35) 774( 0) 738( 0) 1363( 0) 1319( 0) 3236( 0) 3155( 1) 777( 11) 748( 0) 1381( 0) 1338( 0) 3239( 20) 3156( 12)

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Table S27. Harmonic vibrational frequencies (in cm-1) and infrared intensities (in parentheses, in km/mol) for the structure Fe-1T of [(CH2)3C]2Fe.

B3LYP BP86 B3LYP BP86 B3LYP BP86 59( 0) 75( 0) 764( 0) 748( 0) 1371( 0) 1328( 0) 123( 5) 134( 5) 775( 10) 751( 8) 1496( 32) 1444( 25) 123( 5) 134( 5) 834( 0) 814( 0) 1496( 32) 1444( 25) 286( 0) 308( 0) 834( 0) 814( 0) 1499( 0) 1446( 0) 314( 0) 314( 0) 883( 10) 851( 7) 1499( 0) 1446( 0) 314( 0) 314( 0) 883( 10) 851( 7) 1508( 1) 1455( 0) 321( 6) 346( 5) 890( 32) 856( 33) 1512( 0) 1460( 0) 321( 6) 346( 5) 909( 0) 877( 0) 3144( 0) 3065( 0) 418( 0) 409( 0) 952( 0) 912( 0) 3144( 0) 3065( 0) 418( 0) 409( 0) 954( 0) 916( 0) 3145( 14) 3066( 19) 434( 3) 422( 3) 972( 0) 953( 0) 3145( 14) 3066( 19) 434( 3) 422( 3) 976( 16) 960( 13) 3152( 3) 3072( 3) 454( 1) 439( 0) 1033( 0) 999( 0) 3152( 0) 3072( 0) 661( 0) 634( 0) 1033( 0) 999( 0) 3238( 0) 3159( 0) 672( 0) 657( 0) 1039( 0) 1006( 0) 3238( 0) 3159( 0) 741( 0) 710( 0) 1039( 0) 1006( 0) 3242( 13) 3162( 0) 741( 0) 710( 0) 1364( 3) 1325( 1) 3242( 13) 3162( 0) 741( 1) 710( 0) 1364( 3) 1325( 1) 3243( 0) 3162( 15) 741( 0) 710( 0) 1371( 0) 1328( 0) 3243( 0) 3162( 15)

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Table S28. Harmonic vibrational frequencies (in cm-1) and infrared intensities (in parentheses, in km/mol) for the structure Fe-1Q of [(CH2)3C]2Fe.

B3LYP BP86 B3LYP BP86 B3LYP BP86 65( 0) 76( 0) 695( 2) 680( 2) 1359( 2) 1335( 12) 95( 4) 106( 2) 712( 0) 696( 0) 1468( 0) 1412( 0) 114( 0) 115( 0) 747( 69) 710( 76) 1470( 15) 1415( 14) 132( 0) 120( 0) 756( 19) 720( 18) 1484( 54) 1436( 4) 183( 0) 180( 0) 842( 0) 821( 0) 1488( 6) 1438( 2) 328( 0) 336( 0) 849( 28) 834( 0) 1494( 11) 1454( 17) 380( 0) 371( 0) 890( 0) 859( 18) 1497( 7) 1454( 7) 384( 0) 377( 0) 900( 21) 865( 0) 3105( 12) 3033( 0) 402( 0) 383( 0) 900( 18) 881( 7) 3105( 0) 3033( 13) 405( 0) 389( 0) 934( 5) 904( 4) 3110( 2) 3037( 2) 407( 6) 397( 2) 953( 0) 915( 0) 3112( 16) 3038( 14) 442( 0) 429( 0) 955( 0) 918( 0) 3158( 10) 3085( 6) 460( 14) 476( 2) 1004( 0) 972( 0) 3159( 4) 3085( 6) 512( 0) 497( 0) 1009( 2) 976( 2) 3203( 16) 3128( 0) 522( 0) 500( 0) 1033( 25) 1000( 7) 3204( 0) 3128( 15) 605( 35) 580( 42) 1035( 0) 1004( 0) 3205( 1) 3129( 0) 627( 0) 609( 0) 1327( 0) 1285( 0) 3206( 15) 3131( 15) 649( 3) 624( 2) 1332( 0) 1287( 0) 3263( 0) 3190( 0) 685( 40) 680( 1) 1352( 132) 1334( 1) 3264( 13) 3190( 14)

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Table S29. Harmonic vibrational frequencies (in cm-1) and infrared intensities (in parentheses, in km/mol) for the structure Co-1D of [(CH2)3C]2Co.

B3LYP BP86 B3LYP BP86 B3LYP BP86 61( 1) 86( 0) 769( 0) 748( 0) 1379( 0) 1338( 0) 107( 5) 103( 6) 784( 9) 759( 8) 1498( 19) 1444( 14) 123( 4) 135( 3) 826( 4) 805( 3) 1502( 32) 1446( 9) 283( 1) 294( 1) 856( 11) 826( 10) 1503( 3) 1453( 20) 295( 3) 295( 0) 875( 14) 847( 11) 1505( 1) 1456( 2) 303( 2) 310( 4) 883( 14) 854( 8) 1513( 0) 1461( 0) 308( 3) 315( 1) 897( 31) 865( 30) 1515( 1) 1462( 2) 319( 0) 323( 1) 910( 0) 881( 0) 3145( 12) 3066( 13) 414( 1) 399( 0) 958( 0) 921( 0) 3146( 1) 3066( 3) 418( 0) 400( 0) 959( 0) 922( 0) 3148( 10) 3068( 16) 433( 2) 404( 1) 978( 0) 955( 0) 3149( 2) 3068( 4) 439( 4) 429( 2) 981( 15) 961( 12) 3156( 4) 3073( 4) 448( 2) 429( 3) 1038( 1) 1002( 1) 3156( 3) 3073( 2) 679( 0) 654( 3) 1038( 1) 1003( 0) 3242( 3) 3162( 2) 694( 0) 680( 0) 1041( 0) 1007( 0) 3243( 3) 3163( 9) 737( 3) 701( 2) 1042( 1) 1007( 0) 3246( 2) 3169( 2) 750( 3) 717( 4) 1363( 1) 1322( 0) 3246( 10) 3169( 7) 758( 1) 723( 1) 1373( 1) 1326( 0) 3255( 1) 3171( 16) 762( 1) 745( 0) 1374( 1) 1334( 0) 3255( 9) 3172( 1)

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Table S30. Harmonic vibrational frequencies (in cm-1) and infrared intensities (in parentheses, in km/mol) for the structure Co-1Q of [(CH2)3C]2Co.

B3LYP BP86 B3LYP BP86 B3LYP BP86 70( 0) 44( 5) 714( 0) 685( 16) 1371( 0) 1329( 4) 108( 0) 66( 0) 718( 2) 687( 31) 1480( 10) 1433( 16) 113( 11) 115( 0) 720( 43) 702( 0) 1482( 18) 1434( 0) 118( 16) 132( 3) 730( 13) 706( 6) 1492( 15) 1442( 1) 171( 0) 182( 2) 832( 0) 830( 0) 1495( 0) 1444( 15) 320( 24) 340( 0) 863( 3) 841( 5) 1499( 2) 1447( 2) 332( 0) 360( 0) 882( 27) 860( 13) 1502( 4) 1450( 11) 358( 0) 362( 1) 885( 0) 867( 2) 3126( 0) 3051( 0) 380( 0) 387( 4) 914( 2) 899( 1) 3126( 9) 3052( 17) 396( 0) 400( 0) 929( 1) 907( 0) 3130( 1) 3054( 3) 402( 5) 407( 1) 934( 0) 907( 0) 3131( 6) 3056( 5) 424( 4) 419( 0) 944( 0) 908( 4) 3160( 7) 3090( 4) 433( 0) 453( 0) 1010( 3) 979( 0) 3161( 5) 3090( 5) 433( 0) 457( 5) 1014( 0) 983( 0) 3216( 25) 3142( 9) 442( 6) 458( 0) 1023( 13) 991( 2) 3219( 0) 3143( 0) 614( 0) 618( 0) 1025( 0) 994( 0) 3220( 3) 3144( 1) 614( 20) 618( 58) 1347( 26) 1311( 0) 3221( 7) 3145( 10) 633( 14) 643( 1) 1349( 0) 1315( 0) 3270( 15) 3198( 0) 700( 51) 682( 3) 1367( 0) 1328( 0) 3270( 0) 3198( 11)

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Table S31. Harmonic vibrational frequencies (in cm-1) and infrared intensities (in parentheses, in km/mol) for the structure Ni-1S of [(CH2)3C]2Ni.

B3LYP BP86 B3LYP BP86 B3LYP BP86 113( 0) 112( 0) 774( 0) 756( 0) 1377( 0) 1336( 0) 148( 3) 150( 3) 797( 8) 774( 6) 1502( 24) 1449( 21) 148( 3) 150( 3) 843( 0) 813( 0) 1502( 24) 1449( 21) 299( 0) 297( 0) 843( 0) 813( 0) 1508( 0) 1456( 0) 299( 0) 297( 0) 865( 27) 835( 18) 1508( 0) 1456( 0) 302( 0) 299( 0) 865( 27) 835( 18) 1517( 0) 1464( 0) 302( 2) 309( 3) 888( 39) 848( 36) 1518( 0) 1466( 0) 302( 2) 309( 3) 898( 0) 862( 0) 3151( 12) 3075( 17) 420( 2) 403( 2) 960( 0) 924( 0) 3151( 12) 3075( 17) 420( 2) 403( 2) 962( 0) 926( 0) 3152( 0) 3076( 0) 450( 0) 435( 0) 982( 0) 954( 0) 3152( 0) 3076( 0) 450( 0) 435( 0) 984( 15) 961( 13) 3157( 4) 3080( 5) 460( 2) 448( 0) 1039( 4) 1004( 3) 3157( 0) 3080( 0) 675( 0) 652( 0) 1039( 4) 1004( 3) 3250( 0) 3175( 0) 700( 0) 679( 0) 1045( 0) 1011( 0) 3250( 0) 3175( 0) 747( 0) 720( 0) 1045( 0) 1011( 0) 3254( 16) 3177( 18) 747( 0) 720( 0) 1367( 0) 1325( 0) 3254( 16) 3177( 17) 769( 8) 740( 7) 1367( 0) 1325( 0) 3254( 0) 3177( 0) 769( 8) 740( 7) 1377( 0) 1336( 0) 3254( 0) 3177( 0)

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Table S32. Harmonic vibrational frequencies (in cm-1) and infrared intensities (in parentheses, in km/mol) for the structure Ni-1T of [(CH2)3C]2Ni.

B3LYP BP86 B3LYP BP86 B3LYP BP86 63( 0) 78( 0) 711( 32) 689( 0) 1370( 0) 1324( 0) 93( 0) 80( 0) 723( 1) 702( 68) 1484( 9) 1438( 20) 126( 6) 112( 5) 727( 62) 703( 0) 1486( 4) 1439( 0) 137( 5) 133( 5) 752( 4) 731( 6) 1495( 0) 1444( 1) 191( 1) 186( 2) 824( 0) 806( 0) 1495( 25) 1446( 10) 326( 0) 322( 0) 866( 12) 832( 13) 1500( 2) 1447( 2) 352( 12) 363( 5) 879( 0) 853( 3) 1502( 1) 1450( 12) 363( 0) 363( 0) 883( 17) 853( 12) 3117( 7) 3044( 10) 398( 0) 389( 8) 919( 3) 897( 3) 3117( 0) 3044( 0) 403( 0) 394( 1) 935( 2) 907( 2) 3123( 2) 3049( 3) 409( 9) 397( 0) 946( 0) 909( 0) 3124( 13) 3051( 13) 426( 2) 429( 0) 947( 0) 910( 0) 3161( 3) 3088( 3) 438( 0) 430( 1) 1013( 0) 981( 0) 3162( 5) 3089( 6) 444( 0) 443( 0) 1015( 2) 982( 1) 3219( 0) 3146( 0) 449( 0) 463( 0) 1028( 1) 995( 4) 3219( 18) 3146( 19) 601( 15) 598( 24) 1029( 8) 997( 0) 3221( 1) 3147( 1) 611( 0) 606( 0) 1343( 4) 1318( 0) 3223( 8) 3149( 9) 631( 24) 622( 16) 1352( 8) 1323( 2) 3271( 0) 3197( 0) 704( 0) 688( 17) 1365( 1) 1324( 0) 3271( 12) 3198( 13)

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Complete Gaussian 09 reference (Reference 30)

Gaussian 09, Revision A.02, Frisch, M. J.; Trucks, G. W.; Schlegel, H. B.; Scuseria, G. E.; Robb, M. A.; Cheeseman, J. R.; Scalmani, G.; Barone, V.; Mennucci, B.; Petersson, G. A.; Nakatsuji, H.; Caricato, M.; Li, X.; Hratchian, H. P.; Izmaylov, A. F.; Bloino, J.; Zheng, G.; Sonnenberg, J. L.; Hada, M.; Ehara, M.; Toyota, K.; Fukuda, R.; Hasegawa, J.; Ishida, M.; Nakajima, T.; Honda, Y.; Kitao, O.; Nakai, H.; Vreven, T.; Montgomery, Jr., J. A.; Peralta, J. E.; Ogliaro, F.; Bearpark, M.; Heyd, J. J.; Brothers, E.; Kudin, K. N.; Staroverov, V. N.; Kobayashi, R.; Normand, J.; Raghavachari, K.; Rendell, A.; Burant, J. C.; Iyengar, S. S.; Tomasi, J.; Cossi, M.; Rega, N.; Millam, N. J.; Klene, M.; Knox, J. E.; Cross, J. B.; Bakken, V.; Adamo, C.; Jaramillo, J.; Gomperts, R.; Stratmann, R. E.; Yazyev, O.; Austin, A. J.; Cammi, R.; Pomelli, C.; Ochterski, J. W.; Martin, R. L.; Morokuma, K.; Zakrzewski, V. G.; Voth, G. A.; Salvador, P.; Dannenberg, J. J.; Dapprich, S.; Daniels, A. D.; Farkas, Ö.; Foresman, J. B.; Ortiz, J. V.; Cioslowski, J.; Fox, D. J. Gaussian, Inc., Wallingford CT, 2009.

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