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(g) M. Kapon and F. H. Herbstein, Acta Crystallogr., Sect. B, 1995, 51, 108.
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(b) C. J. L. Lock, R. A. Speranzini and M. Zvagulis, Acta Crystallogr., Sect. B, 1980, 36, 1789.
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36
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For a discussion concerning the reliability of metrical data due to the influence of "crystal packing forces" for transition metal complexes, see: A. Martin and A. G. Orpen, J. Am. Chem. Soc., 1996, 118, 1464.
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Martin, A.1
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37
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27844612724
-
-
note
-
We use the phrase "false minimum" to refer specifically to a refinement that yields the incorrect location of correctly assigned atoms in the correct space group. Thus, refinements that involve, for example, incorrect atom assignments or incorrect space groups are not considered to be false minima of the type that is the topic of this paper.
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38
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33845558344
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For a review of the chemical consequences of a polar axis in organic structures, see: D. Y. Curtin and I. C. Paul, Chem. Rev., 1981, 81, 525.
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(a) V. J. Murphy, D. Rabinovich and G. Parkin, J. Am. Chem. Soc., 1995, 117, 9762;
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Murphy, V.J.1
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(b) V. J. Murphy, D. Rabinovich, T. Hascall, W. T. Klooster, T. F. Koetzle and G. Parkin, J. Am. Chem. Soc., 1998, 120, 4372.
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45
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eds. G. Wilkinson, R. D. Gillard and J. A. McCleverty, Pergamon Press, New York, chap. 2
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(a) D. L. Keppert, in Comprehensive Coordination Chemistry, eds. G. Wilkinson, R. D. Gillard and J. A. McCleverty, Pergamon Press, New York, 1987, vol. 1, chap. 2, pp. 31-107;
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53
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0004080309
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VCH, New York
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Since the compositions of the three structural modifications are not the same, it is inappropriate to consider them as polymorphs. See: J. P. Glusker, M. Lewis and M. Rossi, Crystal Structure Analysis for Chemists and Biologists, VCH, New York, 1994.
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Cornell University Press, Ithaca, 3rd edn.
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Pauling, L.1
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55
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27844551503
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note
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8taa]Pb.
-
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56
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27844573619
-
-
note
-
The most likely "chemical interpretation" of the structure as illustrated in Fig. 5 would be to incorporate hydrogen atoms on N1 and N1′.
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-
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57
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2642699200
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Oxford University Press, New York
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The ability to locate atoms in incorrect positions is also related to the concept of homometric structures, i.e. different structures with the same Patterson map. See: Patterson and Pattersons, eds. J. P. Glusker, B. K. Patterson and M. Rossi, Oxford University Press, New York, 1987.
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Patterson and Pattersons
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Glusker, J.P.1
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58
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0038942472
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(a) A. Zalkin, T. E. Hopkins and D. H. Templeton, Inorg. Chem., 1966, 5, 1767;
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Zalkin, A.1
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(b) T. Ueki, A. Zalkin and D. H. Templeton, Acta. Crystallogr., 1966, 20, 836;
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0001532371
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(c) L. K. Templeton, D. H. Templeton, A. Zalkin and H. W. Ruben, Acta Crystallogr., Sect. B, 1982, 38, 2155;
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Templeton, L.K.1
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(d) G. G. Messmer, E. L. Amma and J. A. Ibers, Inorg. Chem., 1967, 6, 725;
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Messmer, G.G.1
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(f) Anomalous Scattering, eds. S. Ramaseshan and S. C. Abrahams, International Union of Crystallography, Munksgaard International Publishers, Copenhagen, 1975;
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Anomalous Scattering
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Ramaseshan, S.1
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67
-
-
27844550556
-
-
note
-
It is well-known that, for polar space groups, two minima exist in a least-squares refinement procedure, corresponding to chemically identical structures that are related by a reflection perpendicular to the polar axis. However, the two structures will differ slightly in bond lengths as a consequence of the polar dispersion error, so that it is essential to establish that the correct polarity has been determined. See ref. 28.
-
-
-
-
68
-
-
27844471361
-
-
note
-
It should be noted that the relationship between the z coordinates of the true and false locations z(C2X) = -z(C2X*) is only true because Pb is arbitrarily situated at z = 0. More generally, the relationship would be z(C2X) = z(Pb) - z(C2X*), if Pb were not to be located at z = 0.
-
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69
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0006651612
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(a) G. Bernardinelli and H. D. Flack, Acta Crystallogr., Sect. A, 1987, 43, 75;
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Bernardinelli, G.1
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0041159796
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(b) G. Bernardinelli and H. D. Flack, Acta Crystallogr., Sect. A, 1985, 41, 500;
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Bernardinelli, G.1
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18444406061
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(c) H. D. Flack and D. Schwarzenbach, Acta Crystallogr., Sect. A, 1988, 44, 499.
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Flack, H.D.1
Schwarzenbach, D.2
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73
-
-
27844511757
-
-
note
-
For the 530 lead structures listed in Version 5.12 of the Cambridge Structural Database, the R value ranges are distributed as follows: 0.00 < R ≤ 0.05 (56.09%), 0.05 < R ≤ 0.10 (39.43%), 0.10 < R ≤ 0.15 (3.21%), 0.15 < R ≤ 0.20 (1.13%), 0.20 < R ≤ 1.00 (0.14%).
-
-
-
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76
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84990168633
-
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For a review covering quantitative aspects of the interpretation of anisotropic displacement parameters, see: J. D. Dunitz, E. F. Maverick and K. N. Trueblood, Angew. Chem., Int. Ed. Engl., 1988, 27, 880.
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Angew. Chem., Int. Ed. Engl.
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Dunitz, J.D.1
Maverick, E.F.2
Trueblood, K.N.3
-
77
-
-
27844442042
-
-
note
-
3 are the three main axes components of the thermal ellipsoid.
-
-
-
-
78
-
-
27844568395
-
-
note
-
1 for C1, C11 and C32 are 15.58, 5.22 and 5.08, respectively.
-
-
-
-
79
-
-
27844439697
-
-
note
-
1 for C1 and C32 are 8.40 and 15.15, respectively.
-
-
-
-
80
-
-
27844501400
-
-
note
-
The covalent radii of H and Pb are 0.30 and 1.54 Å, respectively; the van der Waals radius of H is 1.20 Å, while that of lead can be estimated as 0.8 Å greater than its covalent radius. See ref. 24.
-
-
-
-
81
-
-
0025399140
-
-
For example, there are 47 occurrences of nonbonded Pb⋯H interactions in the range 2.0-2.7 Å listed in the Cambridge Structural Database (Version 5.12). References to interactions in the range 2.0-2.5 Å comprise: (a) N. S. Hosmane, K.-J. Lu, H. Zhu, U. Siriwardane, M. S. Shet and J. A. Maguire, Organometallics, 1990, 9, 808;
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Hosmane, N.S.1
Lu, K.-J.2
Zhu, H.3
Siriwardane, U.4
Shet, M.S.5
Maguire, J.A.6
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82
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0001274714
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(b) H. Chen, R. A. Bartlett, H. V. R. Dias, M. M. Olmstead and P. P. Power, Inorg. Chem., 1991, 30, 3390;
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Chen, H.1
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83
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33845373563
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(c) K. Wieghardt, M. Kleine-Boymann, B. Nuber, J. Weiss, L. Zsolnai and G. Huttner, Inorg. Chem., 1996, 25, 1647;
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Wieghardt, K.1
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84
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0001720061
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(d) N. Tokitoh, N. Kano, K. Shibata and R. Okazaki, Organometallics, 1995, 14, 3121;
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Tokitoh, N.1
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85
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4243157187
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(e) C. Campbell and L. J. Farrugia, Acta Crystallogr., Sect. C, 1989, 45, 1817.
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Campbell, C.1
Farrugia, L.J.2
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87
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0000861575
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-
For other articles concerned with similar tests, see: (a) R. E. Rosenfield, K. N. Trueblood and J. D. Dunitz, Acta Crystallogr., Sect. A, 1978, 34, 828;
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Acta Crystallogr., Sect. A
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Rosenfield, R.E.1
Trueblood, K.N.2
Dunitz, J.D.3
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88
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0001841380
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(b) V. Schomaker, K. N. Trueblood, Acta Crystallogr., Sect. B, 1968, 24, 63.
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Schomaker, V.1
Trueblood, K.N.2
-
89
-
-
27844611003
-
-
note
-
This statement is concerned specifically with situations where there is a significant structural difference between the two solutions, and does not apply to situations in which small deviations from centrosymmetry may be insufficient to prevent a strictly non-centrosymmetric structure from being refined in a centrosymmetric space group.
-
-
-
-
90
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33845184724
-
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J. Arnold, T. D. Tilley, A. L. Rheingold, S. J. Geib and A. M. Arif, J. Am. Chem. Soc., 1989, 111, 149.
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Arnold, J.1
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92
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4244139353
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H. V. R. Dias, L. Huai, W. Jin and S. G. Bott, Inorg. Chem., 1995, 34, 1973.
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Dias, H.V.R.1
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93
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0040286556
-
-
For another example of a structure that was initially refined in the centrosymmetric P1 but is better described as the non-centrosymmetric P1 see: J. C. Calabrese and K. H. Gardner, Acta Crystallogr., Sect. C, 1985, 41, 389.
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Acta Crystallogr., Sect. C
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Calabrese, J.C.1
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94
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0002820925
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American Chemical Society, Washington, DC
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(a) J. P. McNally, V. S. Leong, N. J. Cooper, ACS Symposium Series 357, American Chemical Society, Washington, DC, 1987, pp. 6-23;
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McNally, J.P.1
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95
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0002522541
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American Chemical Society, Washington, DC
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(b) B. J. Burger and J. E. Bercaw, ACS Symposium Series 357, American Chemical Society, Washington, DC, 1987, pp. 79-97.
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Burger, B.J.1
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0000670872
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R. Uhrhammer, D. G. Black, T. G. Gardner, J. D. Olsen and R. F. Jordan, J. Am. Chem. Soc., 1993, 115, 8493-8494.
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Uhrhammer, R.1
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Jordan, R.F.5
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97
-
-
27844435406
-
-
note
-
2 can be seen to be related to the C-centered modification by an approximate doubling of the b axis. Despite this coincidence, axial photographs confirmed the cell lengths in each case, and examination of the molecular packing indicated distinct differences between the two structures. We thank Professor R. E. Marsh for his evaluation concerning the difference in packing between the C-centered and primitive modifications.
-
-
-
-
98
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27844474463
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note
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1 (No. 36), Cmcm (No. 63) and C2cm (No. 40) are 3.71, 14.88 and 7.28, respectively.
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