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16
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0343208127
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note
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We used the code CPMD 3.0j, derived from version 3.0h developed by J. Hutter, P. Ballone, M. Bernasconi, P. Focher, E. Fois, S. Goedecker, D. Marx, M. Parrinello, and M. Tuckerman, at MPI für Festkörperforschung and IBM Zurich Research Laboratory (1990-1997). The Wannier functions calculations have been done in the implementation scheme of P. L. Silvestrelli, M. Boero, and S. Raugei. The code was ported on VPP -Fujitsu by M. Boero.
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17
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19
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0343643703
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note
-
In the case of TMG, relaxed geometry and vibrational frequencies were cross-checked by using BLYP and revPBE (Ref. 16) GGAs obtaining identical results within the allowed numerical accuracy.
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21
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See, e.g., M. Sprik, J. Hutter, and M. Parrinello, J. Chem. Phys. 105, 1142 (1996); P. Giannozzi, in Computational Approaches to Novel Condensed Matter Systems, Proceedings of 3rd Gordon Godfrey Workshop on Condensed Matter Physics, edited by D. Neilson and M. P. Das (Plenum, New York, 1995).
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Computational approaches to novel condensed matter systems
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edited by D. Neilson and M. P. Das Plenum, New York
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See, e.g., M. Sprik, J. Hutter, and M. Parrinello, J. Chem. Phys. 105, 1142 (1996); P. Giannozzi, in Computational Approaches to Novel Condensed Matter Systems, Proceedings of 3rd Gordon Godfrey Workshop on Condensed Matter Physics, edited by D. Neilson and M. P. Das (Plenum, New York, 1995).
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Paci, E.1
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34
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0343643701
-
-
note
-
We use the standard chemical notation, where α, β, etc. refer to the first, second, etc. C atom along the hydrocarbon chain, the first C being the one directly bound to the metal or non-C atom (Ga in this case).
-
-
-
-
35
-
-
0342773452
-
-
note
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B the Boltzmann constant.
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36
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36549100412
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A. D. Becke and K. E. Edgecombe, J. Chem. Phys. 92, 5397 (1990); A. Savin, A. D. Becke, J. Flad, R. Nesper, H. Preuss, and H. G. von Schnering. Angew. Chem. 103, 421 (1991); A. Savin, H. Flad, J. Flad, H. Preuss, and H. G. von Schnering, ibid. 104, 185 (1992); B. Silvi and A. Savin, Nature (London) 371, 683 (1994).
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A. D. Becke and K. E. Edgecombe, J. Chem. Phys. 92, 5397 (1990); A. Savin, A. D. Becke, J. Flad, R. Nesper, H. Preuss, and H. G. von Schnering. Angew. Chem. 103, 421 (1991); A. Savin, H. Flad, J. Flad, H. Preuss, and H. G. von Schnering, ibid. 104, 185 (1992); B. Silvi and A. Savin, Nature (London) 371, 683 (1994).
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38
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A. D. Becke and K. E. Edgecombe, J. Chem. Phys. 92, 5397 (1990); A. Savin, A. D. Becke, J. Flad, R. Nesper, H. Preuss, and H. G. von Schnering. Angew. Chem. 103, 421 (1991); A. Savin, H. Flad, J. Flad, H. Preuss, and H. G. von Schnering, ibid. 104, 185 (1992); B. Silvi and A. Savin, Nature (London) 371, 683 (1994).
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39
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0027946619
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A. D. Becke and K. E. Edgecombe, J. Chem. Phys. 92, 5397 (1990); A. Savin, A. D. Becke, J. Flad, R. Nesper, H. Preuss, and H. G. von Schnering. Angew. Chem. 103, 421 (1991); A. Savin, H. Flad, J. Flad, H. Preuss, and H. G. von Schnering, ibid. 104, 185 (1992); B. Silvi and A. Savin, Nature (London) 371, 683 (1994).
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Silvi, B.1
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Komaba Eminence, Tokyo
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P. L. Silvestrelli, N. Marzari, D. Vanderbilt, and M. Parrinello, Solid State Commun. 107, 7 (1998); P. L. Silvestrelli and M. Parrinello, Phys. Rev. Lett. 82, 3308 (1999); M. Boero, M. Parrinello, and K. Terakura, in 1998 JRCAT International Symposium on Atom Technology Procs. (Komaba Eminence, Tokyo, 1998), p. 349;
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47
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Martin, T.P.9
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48
-
-
0343643700
-
-
note
-
Static structure optimization (at 0 K) gave the following Ga-C bond lengths: 1.938, 1.950, and 1.969 Å for TMG, TEG, and TBG, respectively. The slight increase is only due to the steric encumbrance of the larger alkyl ligands.
-
-
-
-
50
-
-
0003638978
-
-
edited by J. Skilling Kluwer Academic, New York
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See, e.g., Maximum Entropy in Action, edited by J. Skilling (Kluwer Academic, New York, 1989); R. N. Silver, Phys. Rev. B 41, 2380 (1990); J. E. Gubernatis, ibid. 44, 6011 (1991).
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Maximum Entropy in Action
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51
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4243705271
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See, e.g., Maximum Entropy in Action, edited by J. Skilling (Kluwer Academic, New York, 1989); R. N. Silver, Phys. Rev. B 41, 2380 (1990); J. E. Gubernatis, ibid. 44, 6011 (1991).
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Phys. Rev. B
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52
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0000897350
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See, e.g., Maximum Entropy in Action, edited by J. Skilling (Kluwer Academic, New York, 1989); R. N. Silver, Phys. Rev. B 41, 2380 (1990); J. E. Gubernatis, ibid. 44, 6011 (1991).
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Phys. Rev. B
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Gubernatis, J.E.1
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53
-
-
0342773443
-
-
note
-
Vibrational spectra are computed by transforming the velocity-velocity autocorrelation functions by means of the maximum entropy inversion method (Ref. 32). The values in Table II correspond to the maxima of the obtained spectrum.
-
-
-
-
54
-
-
0342773444
-
-
note
-
Of course, in the case of TMG the C-C oscillations do not exist, as no C-C bonds are present.
-
-
-
-
55
-
-
0342773445
-
-
note
-
β bend but also from other C-C-C modes.
-
-
-
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58
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0040136318
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C. H. Chen, C. A. Larsen, G. B. Stringfellow, D. W. Brown, and A. J. Robertson, J. Cryst. Growth 77, 11 (1986); C. H. Chen, D. S. Cao, and G. B. Stringfellow, J. Electron. Mater. 17, 67 (1988); C. H. Chen. C. A. Larsen, and G. B. Stringfellow, Appl. Phys. Lett. 50, 218 (1987).
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J. Cryst. Growth
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Chen, C.H.1
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Stringfellow, G.B.3
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Robertson, A.J.5
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59
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0023826344
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C. H. Chen, C. A. Larsen, G. B. Stringfellow, D. W. Brown, and A. J. Robertson, J. Cryst. Growth 77, 11 (1986); C. H. Chen, D. S. Cao, and G. B. Stringfellow, J. Electron. Mater. 17, 67 (1988); C. H. Chen. C. A. Larsen, and G. B. Stringfellow, Appl. Phys. Lett. 50, 218 (1987).
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62
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0032542748
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The β-elimination channel is, e.g., one of the viable possibilities for chain terminations in the Ziegler-Natta catalysis. Energy barriers are in the range ̃26-36 kcal/mol, curiously of the same order of magnitude of our present findings. See L. Cavallo, G. Guerra, and P. Corradini, J. Am. Chem. Soc. 120, 2428 (1998), and references therein.
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Cavallo, L.1
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63
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0343208109
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note
-
The Blue Moon theory, in fact, assumes that, leaving aside the constraint, all the other degrees of freedom are at the equilibrium along the selected reaction path. But here, beyond the transition state, this is not the case. In fact, the ethylene molecule, once released, equilibrates as a separate system independent on the imposed constraint.
-
-
-
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64
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0034716312
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See, e.g., M. Boero, M. Parrinello, S. Hüffer, and H. Weiss, J. Am. Chem. Soc. 122, 501 (2000).
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Boero, M.1
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65
-
-
0343643685
-
-
note
-
i the position of the ith WFC.
-
-
-
|