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note
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A survey of the Journal of the American Chemical Society for the first quarter of the year 2000 found 63 papers reporting quantum calculations on compounds containing only main group elements. B3LYP calculations were employed for geometry optimization in 47 of these papers. Often more than one basis set was employed for calculations of geometry in each paper, but most highly represented were variations of the 6-31G basis set (59 examples), with the 6-31G(d) (23 examples), 6-31+G(d) (14), and 6-31+G(d,p) (13) basis sets being the most common by far.
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note
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The best fits for the overlap of the experimental and calculated structures were determined by using the OFIT function in Siemens SHELXTL,20 and all non-hydrogen atoms were used for the fitting.
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My own interest in these computational problems began with the observation that HDFT calculations systematically overestimated the bond distances in the polycyclic aromatic hydrocarbon hexabenzotriphenylene, so that the calculated diameter of this large, propeller-shaped molecule (C42H2-0 was fully 0.1 A greater than that of an accurate, low-temperature X-ray structure.24 Low-level Hartree-Fock (HF) calculations gave better overall geometries than the HDFT methods for the simple reason that the HF bond length errors were randomly dispersed about the experimental values. The overestimation of bond lengths by HDFT methods is hardly unknown,25'26 but certainly unadvertised.
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Another virtue of high-symmetry structures is that the data may be of better quality. Although I am unaware of any studies establishing such a correlation for small-molecule determinations, Dickerson and coworkers29 have found it to be true for macromolecules, noting that among all the available self-complementary B-DNA crystal structure analyses, those crystals exhibiting the highest resolution are the ones that minimally perturb the intrinsic 2-fold internal symmetry of the molecule. Highest resolution ... is obtained in the monoclinic space group C2, where the molecular symmetry coincides with a true crystallographic 2-fold axis... Where this is forbidden by anisotropic crystal packing, a price is paid in terms of increased disorder within the crystal structure and lower resolution.
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note
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Hehre and Lou26 go so far as to say, in a discussion of various available DFT methods, While 'cost' must be taken into account, it is difficult to recommend the pB/DN and pB/DN models (or limiting Becke3LYP models) for the task of geometry determination where secondrow elements are involved.
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