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References


 

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G. Gilat, "A measure of the amount of structural chirality", Journal of Physics A – Mathematical and General, 1989, 22, L545 – L550.

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C. S. Page, "On Non-Classical Intermolecular Interactions and Chiral Recognition", Thesis, Department of Chemistry, Imperial College of Science, Technology & Medicine, June 1998

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Y. Hel-Or, S. Peleg and D. Avnir, "Characterization of Right-Handed and Left-Handed Objects", Comput. Vision Image Process (CVIP): Image Understanding, 53, 297-302 (1991)

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W. F. van Gunsteren, P. M. King, A. E. Mark, "Fundamentals of drug design form a biophysical viewpoint", Quarterly Reviews of Biophysics, 27, 1994, 435-481

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A. S. Levy and W. G. Richards, "Chiral Drug Potency: Pfeiffer’s Rule and Computer Chirality Coefficients", Tetrahedron Asymmetry, 1993, 4, 1917-1923.

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H. Zabrodsky, S. Peleg and D. Avnir, "Symmetry as a Continuous Feature", IEEE Trans. Pattern Analysis. & Machine Intelligence, 1995, 12, 1154-1166

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D. Avnir, H. Hel-Or and P. Mezey, "Symmetry and Chirality: Continuous Measures", in The Encyclopaedia of Computational Chemistry, 4, 2890-2901, Editors: P.V. Schleyer, N.L. Allinger, T. Clark, J. Gasteiger, P.A. Kollman, H.F. Schaefer III, P.R. Schreiner, John Wiley & Sons, Chichester, 1998."

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G. Gilat, "Chiral Interactions in Biomolecules", Chemical Physics Letters, 1985, 121, 9-12;

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G. Gilat and L. S. Schulman, "Chiral Interaction, Magnitude of the Effects and Application to Natural Selection of L-Enantiomers" Chemical Physics Letters, 1985, 121, 13-16

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R. Carbo, L. Leyda and M. Arnau, "An electron density measure of the similarity between two compounds", International Journal of Quantum Chemistry, 1980, 17, 1185 – 1189

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E. E. Hodgkin and W. G. Richards, "A Semi-empirical Method for Calculating Molecular Similarity", Journal of the Chemical Society, Chemical Communications, 1986, p 1342 – 1344.

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P. D. Walker and P. G. Mezey, "Molecular electron-density LEGO approach to molecule building", Journal of the American Chemical Society, 1993, 115, 12423 – 12430

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Y. Hel-Or, S. Peleg and D. Avnir, "Two Dimensional Rotational Dynamic Chirality and a Chirality Scale", Langmuir, 6, 1691-1695 (1990). (Erratum, 10, 1633 (1994)).

 

16.)

Y. Hel-Or, S. Peleg and D. Avnir, "Characterisation of Right-Handed and Left-Handed Objects", Computer Vision Image Process (CVIP): Image Understanding, 53, 297-302 (1991)

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A. B. Buda and K. Mislow, "A Hausdorff Chirality Measure", Journal of the American Chemical Society, 1992, 114, 6006 6012;

18.)

H. Zabrodsky, S. Peleg and D. Avnir, "Continuous Symmetry Measures", Journal of the American Chemical Society, 114, p.7843-7851, Sept. 1992."

19.)

H. Zabrodsky, S. Peleg and D. Avnir, "Continuous Symmetry Measures II: Symmetry Groups and the Tetrahedron", Journal of the American Chemical Society, 115, p.8278-8289, also p.11,656, 1993"

20.)

H. Zabrodsky, S. Peleg and D. Avnir, "A Measure of Symmetry based on Shape Similarity", IEEE Computer Society Conference on Computer Vision and Pattern Recognition CVPR-92 Conference Proceedings, 703-706, Champaign IL, U.S.A., June 1992.

21.)

H. Zabrodsky and D. Avnir, "Continuous Symmetry Measures IV: Chirality", Journal of the American Chemical Society, 1995, 117, 462-473

22.)

H. Zabrodsky, S. Peleg and D. Avnir, "Continuous Symmetry for Shapes", "Aspects of Visual Form Processing", C. Arcelli et al, ed.'s, World Scientific, Singapore, 1994, pp. 594-613.

23.)

H. Zabrodsky, S. Peleg and D. Avnir, "Completion of Occluded Shapes Using Symmetry", Proc. Conf. Comput. Vision Pattern Recog., New York, 1993, pp. 678-679.

24).

M. Pinsky and D. Avnir, "Continuous Symmetry Measures V: The Classical Polyhedra", Inorganic Chemistry, 37, 5575 - 5582 (1998)"

25.)

S. Grimme, "Continuous symmetry measures for electronic wavefunctions", Chemical Physics Letters, 1998, 297, No.1-2, pp.15-22"

26.)

D. Kanis, J. Wong, T. Marks, M. Ratner, H. Zabrodsky, S. Keinan and D. Avnir, "Continuous Symmetry Analysis of Hyperpolarizabilities. Characterisation of the Second-Order Nonlinear Optical Response of Distorted Benzene", Journal of Physical Chemistry, 99, p.11061-11066, 1995

27.)

Y. Pinto, H. Zabrodsky Hel-Or and D. Avnir, "Continuous Chirality Analysis of Interconversion Pathways of the Water-Trimer Enantiomers", Journal Chemistry Society Faraday Trans., 92, 2523-2527 (1996)

28.)

J. D. Morrison, H. S. Mosher, Asymmetric Organic Reactions, American, Chemical Society, Washington DC, 1976

29.)

P. G. Mezey, Advanced Quantum Chemistry, 1996, 27, 163-222

30.)

P. G. Mezey, Int. J. Quantum Chemistry, 1997, 63, 39-48

31.)

S. Keinan and D. Avnir, ‘Quantitative Chirality in Structure – Activity Correlations. Shape Recognition by Trypsin, by the D2 Dopamine Receptor, and by Cholinesterases’, Journal of the American Chemical Society, 1998, 120, 6152-6159

32.)

Y. Pinto, P. W. Fowler, D. Mitchell and D. Avnir, ‘Continuous Chirality Analysis of Model Stone-Wales Rearrangements in Fullerenes’, Journal of Physical Chemistry B, 1998, 102, 5776-5784


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