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Publications on the measurement of symmetry and chirality

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and indicate the publication(s) number(s).

  • 1989 - 1999
  • 2000 - 2003
  • 2004 - 2012
  • 2013 - 2015


    1989 - 1999

    96.
    1. Yaakov Hel-Or, Shumel Peleg, David Avnir
      "Characterization of right-handed and left-handed objects"
      Department of Computer Science, The Hebrew University of Jerusalem, Israel, Technical Report 89-4, January 1989.

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

    103. D. Avnir and A.Y. Meyer,
    "Quantifying the Degree of Molecular Shape. A Chirality Measure",
    J. Molec. Struct. (Theochem), 226, 211-222 (1991).
    124. A.Y. Meyer and D. Avnir,
    "The Relation Between Molecular-Shape and Molecular Rotations in Chiral Halogenated Alkanes",
    Structural Chem., 2, 475-478 (1991).

    112. 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)).

    124. See paper 103.

    138. H. Zabrodsky, S. Peleg and D. Avnir
    "Continuous Symmetry Measures"
    J. Am. Chem. Soc., 114, 7843-7851 (1992). (Editorial article on this paper: P.W. Fowler, Nature, 360, 626 (1992)).

    143.
    1. H. Zabrodsky, S. Peleg and D. Avnir
      "A Measure of Symmetry based on Shape Similarity"
      Proc. Conf. Comput. Vision Pattern Recog. - CVPR-92, p.703-706, June 1992.

    2. H. Zabrodsky, S. Peleg and D. Avnir
      "Hierarchical Symmetry"
      Proc. Int. Conf. Pattern Recognition, Vol. C, 9-12, The Hague, Sept. 1992.

    151. H. Zabrodsky, S. Peleg and D. Avnir
    "Completion of Occluded Shapes Using Symmetry "
    Proc. Conf. Comput. Vision Pattern Recog. - CVPR-93, New York, 1993, pp. 678-679.

    155. H. Zabrodsky, S. Peleg and D. Avnir
    "Continuous Symmetry Measures II: Symmetry Groups and the Tetrahedron"
    J. Am. Chem. Soc., 115, 8278-8289 (1993). Erratum: 11,656

    156. H. Zabrodsky and D. Avnir
    "Measuring Symmetry in Structural Chemistry"
    Adv. Molec. Struct. Res., 1, 1- 31(1995).

    160.
    1. H. Zabrodsky, S. Peleg and D. Avnir
      "Symmetry of Fuzzy Data"
      Proc. 12th Conf. Pattern Recognition, (ICPR), 499-504 (1994).

    2. H. Zabrodsky, S. Peleg and D. Avnir
      "Continuous Symmetry for Shapes"
      in "Aspects of Visual Form Processing", C. Arcelli and L. Cordella and G. Sanniti di Baja eds., World Scientific, Singapore, 1994, pp. 594-613.

    161. H. Zabrodsky and D. Avnir
    "Continuous Symmetry Measures, IV: Chirality"
    J. Am. Chem. Soc., 117, 462-473 (1995).

    167. D. R. Kanis, J. S. Wong, T. J. Marks, M.A. Ratner, H. Zabrodsky, S. Keinan and D. Avnir
    "Continuous Symmetry Analysis of Hyperpolarizabilities. Characterization of Second Order Non-Linear Optical Response of Distorted Benzene".
    J. Phys. Chem., 99, 11061-11066 (1995).

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

    177. O. Katzenelson, H. Zabrodsky Hel-Or and D. Avnir
    "Chirality of Large Random Supramolecular Structures"
    Chemistry - A European J. , 2, 174 - 181 (1996)
    Highlight: CHEMTECH, July 1996, p. 4.

    180. V. Buch, E. Greshgoren, H. Zabrodsky Hel-Or and D. Avnir
    "Symmetry Loss as a Criterion for Cluster Melting, with Application to (D2)13"
    Chem. Phys. Lett. 247, 149-153 (1995)

    183. H. Zabrodsky, S. Peleg and D. Avnir
    " Symmetry as a Continuous Feature"
    IEEE Trans. Pattern Anal. Machine Intelligence, 17, 1154 -1166 (1995)

    185. D. Avnir, O. Katzenelson, S. Keinan, M. Pinsky, Y. Pinto, Y. Salomon and H. Zabrodsky Hel-Or
    "The Measurement of Symmetry and Chirality: Conceptual Aspects"
    in " Concepts in Chemistry", D. H. Rouvray , Ed., Research Studies Press, Somerset, 1997, Chapter 9, pp 283 - 324.

    186. D. Avnir, O. Katzenelson and H. Zabrodsky Hel-Or
    "Reply to “On the Definition of Chirality”: Further Comments on the Chirality of Large Random Objects"
    Chem. European J., 2, 744-746, (1996)

    187. S. Keinan, H. Zabrodsky Hel-Or and D. Avnir
    "How Much Chirality was there in Pasteur’s Tartrate? The Quantitative Evaluation of the Chirality of Crystals"
    Enantiomer, 1, 351-357 (1996)

    198. Y. Pinto, Y. Salomon and D. Avnir
    "Properties and Classification of Enantiomerization Pathways"
    J. Math. Chem., 23, 13 -29 (1998)

    200. I. Saragusti, I. Sharon, O. Katzenelson and D. Avnir
    "Quantitative Analysis of the Symmetry of Artefacts: Lower Paleolithic Handaxes"
    J. Archeol. Sci., 25, 817-825 (1998)

    203. D. Avnir, H. Zabrodsky Hel-Or and P. G. Mezey
    "Symmetry and chirality: Continuous Symmetry Measures"
    in Encyclopedia of Computational Chemistry, P. von Rague Schleyer, Editor-in-Chief, Wiley, Chichester, 4, 2890 - 2901 (1998)

    206. S. Keinan and D. Avnir "Quantitative Chirality in Structure-Activity Correlations. Shape Recognition by Trypsin, by the D2 Dopamine Receptor and by Cholinesterases"
    J. Am. Chem. Soc., 120, 6152 - 6159 (1998)
    207. Y. Pinto, P. W. Fowler, D. Mitchell and D. Avnir
    "Continuous Chirality Analysis of Model Stone-Wales Rearrangements in Fullerenes"
    J. Phys. Chem., 102, 5776 - 5784 (1998)

    209. S. Keinan , M. Pinsky , M. Plato , J. Edelstein and D. Avnir
    "Quantitative Evaluation of the Near C2 Symmetry of the Bacterial Photosynthetic Reaction Center"
    Chem. Phys. Lett., 298, 43 - 50 (1998)

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

    215. Y. Salomon and D. Avnir
    "Continuous Symmetry Measures: Finding the Closest C2 Symmetric Object or the Closest Reflection Symmetric
    Object Using Unit Quaternions"
    J. Comput. Chem., 20, 772 - 780 (1999).

    216.
    1. D. Avnir, O. Katzenelson, S. Keinan, M. Pinsky, Y. Pinto, Y. Solomon and H. Zabrodsky Hel-
      Or
      "The Measurement of Symmetry: Bridging Order and Disorder"
      pp 119 – 130

    2. H. Hel-Or and D. Avnir "Computational Image Analysis of Symmetry and of its Perception" pp. 249 – 256

    3. I. Saragusti, I. Sharon, O. Katzenelson and D. Avnir " Quantitative Analysis of Symmetry Artifacts" pp. 408 – 414

      All in Symmetry: Culture and Science, 9 (1998; appeared in 2002).

    219. Y. Salomon and D. Avnir "Continuous Symmetry Measures: A note in proof of the folding/unfolding method"
    J. Math. Chem., 25, 295 - 308 (1999).

    222. Hagit Hel-Or and David Avnir
    "Quantitative Analysis of Continuous Symmetry in Shapes and Objects"
    Workshop on Fundamental Properties in Image and Pattern Analysis – ESPIPA-99, Budapest, 1999
    2000 - 2003

    223. O. Katzenelson and D. Avnir
    "Quantitative Chirality/Enantioselectivity Relations in Large Random Supramolecular Structures"
    Chem. Europ. J., 6, 1346 - 1354 (2000).

    227. S. Keinan and D. Avnir
    "Quantitative Symmetry in Structure-Activity Correlations. The Near C2 Symmetry of Inhibitor/HIV-Protease Complexes"
    J. Am. Chem. Soc., 122, 4378 – 4384 (2000)

    228. Y. Pinto and D. Avnir
    "A Generalized Handedness Labeling Strategy: Addressing Latent Handedness in Chiral Structures"
    Enantiomer, 6, 211 –217 (2001).

    230. O. Katzenelson, J. Edelstein and D. Avnir
    "Quantitative chirality of helicenes"
    Tetrahedron-Asymmetry, 11, 2695 – 2704 (2000)

    232. S. Keinan and D. Avnir
    "Continuous Symmetry Analysis of Tetrahedral/Planar Distortions.
    Copper Chlorides and Other AB4 Species"
    Inorg. Chem., 40, 318 – 323 (2001)

    239. S. Alvarez, M. Pinsky and D. Avnir
    "The Chirality of Homoleptic Hexacoordinated D3-Symmetric Complexes"
    Europ. J. Inorg, Chem., 1499 – 1503 (2001)

    242. S. Alvarez, M. Pinsky, M. Llunell and D. Avnir
    "Continuous Chirality Analysis of Hexacoordinated Tris-Chelated Metal Complexes"
    Crystal Eng., 4, , 179-200 (2001)

    243. S. Keinan and D. Avnir
    "Studies in Copper Complexes: Correlations between Quantitative Symmetry and Physical Properties"
    J. Chem. Soc. Dalton Transactions, 941-947 (2001)

    245. M. Pinsky, K. B. Lipkowitz and D. Avnir
    "Continuous symmetry measures, VI: The relations between polyhedral point-group/sub-group symmetries"
    J. Math.Chem., 30, 109 – 120 (2001)

    250. K. B. Lipkowitz, S. Schefzick and D. Avnir
    "Enhancement of Enantiomeric Excess by Ligand Distortion"
    J. Am. Chem. Soc., 123, 6710-6711 (2001)

    251. E. Estrada and D. Avnir
    "Continuous Symmetry Numbers and Entropy"
    J. Am. Chem. Soc., 125, 4368-4375 (2003)

    254. S. Alvarez, D. Avnir, M. Llunell and M. Pinsky
    "Continuous Symmetry Maps and Shape Classification. The Case of Six-coordinated Metal Compounds".
    New J. Chem., 26, 996 - 1009 (2002)

    258. M. Pinsky, D. Yogev-Einot and D. Avnir
    "Statistical analysis of the estimation of distance measures"
    J. Comput. Chem., 24, 786–796 (2003)

    260. D. Yogev-Einot and D. Avnir
    "Quantitative Symmetry and Chirality of the Molecular Building Blocks of Quartz "
    Chem. Mater. 15, 464 – 472 (2003)

    263. P. Alemany, S. Alvarez and D. Avnir
    "Theoretical Evidence of Persistent Chirality in D3 Homoleptic Hexacoordinated Complexes with Monodentate Ligands"
    Chemistry-Europ. J., 9, 1952 – 1957 (2003)

    264. S. Alvarez and D. Avnir
    "Continuous Chirality Measures of Tetracoordinated Bis-Chelate Metal Complexes"
    Dalton Trans., 562 – 569 (2003)

    264a. David Avnir
    “Measuring Symmetry”
    Symmetry: Culture and Science, 14-15, 227-229, (2003-2004)

    268. S. Alvarez, S. Schefzick, K. Lipkowitz and D. Avnir
    "Quantitative Chirality Analysis of Molecular Subunits of Bis(oxazoline)copper(ii) Complexes in Relation to Their Enantioselective Catalytic Activity"
    Chem. Eur. J., 9, 5832 - 5837 (2003)

    2004 - 2012

    269. D. Casanova, J. Cirera, M. Llunell, P. Alemany, D. Avnir and S. Alvarez
    "Minimal Distortion Pathways in Polyhedral Rearrangements"
    J. Am. Chem. Soc., 126 , 1755 - 1763 (2004)

    270. D. Yogev-einot and D. Avnir
    "Pressure and temperature effects on the degree of symmetry and chirality of the molecular building blocks of low quartz"
    Acta Cryst. B60, 163–173 (2004)

    276. Jonathan Breuer and David Avnir
    "Continuity in symmetry and in distiguishability of states: A nuclear wave function approach and its implications to the symmetry numbers of non-rigid molecules"
    J. Chem. Phys, 122, 074110 – 074110-10 (2005)

    280. Santiago Alvarez, Pere Alemany and David Avnir
    "Continuous Chirality Measures in Transition Metal Chemistry"
    Chem. Soc. Rev., 34, 313 - 326 (2005) (with cover picture).

    282. Santiago Alvarez, Pere Alemany, David Casanova, Jordi Cirera, Miquel Llunell and David Avnir
    "Shape maps and polyhedral interconversion paths in transition metal chemistry"
    Coordination Chem. Rev., 249, 1693-1708 (2005)

    289. Avital Steinberg, Miriam Karni and David Avnir
    "Continuous Symmetry Analysis of NMR Chemical Shielding Anisotropy"
    Chem. Eur. J., 12, 8534 – 8538 (2006)

    290. Dina Yogev-Einot and David Avnir
    "The temperature-dependent optical activity of quartz: from Le Chaˆtelier to chirality measures"
    Tetrahedron: Asymmetry 17, 2723 – 2725 (2006)

    299. Mark Pinsky, David Casanova, Pere Alemany, Santiago Alvarez , David Avnir, Chaim Dryzun, Ziv Kizner and Alexander Sterkin
    "Symmetry operation measures"
    J. Comput. Chem., 29, 190 -197 (2008)

    304. Mark Pinsky, Chaim Dryzun, David Casanova, Pere Alemany and David Avnir
    "Analytical methods for calculating continuous symmetry measures and the chirality measure"
    J. Comput. Chem., 29, 2712 - 2721 (2008)

    313. Ch. Dryzun, Y. Mastai, A. Shvalb and D. Avnir
    "Chiral silicate zeolites"
    J. Mater. Chem., 19, 2062 – 2069 (2009). Highlighted in Science, 323 (5919), 1266 (2009)
    316. Chaim Dryzun and David Avnir
    “Generalization of the continuous symmetry measure: the symmetry
    of vectors, matrices, operators and functions”
    Phys. Chem. Chem. Phys., 11, 9653 – 9666 (2009)
    318. Inbal Tuvi-Arad and David Avnir
    “Determining symmetry changes during a chemical reaction: the case of diazene isomerization”
    J. Math. Chem., 47, 1274 – 1286 (2010)
    321. Mark Pinsky, David Danovich and David Avnir
    "Continuous Symmetry Measures of Density Maps”
    J. Phys. Chem., 114, 20342 - 20349 (2010) (Special Mark A. Ratner Festschrift)
    324. Amir Zayit, Mark Pinsky, Hadassah Elgavi, Chaim Dryzun and David Avnir
    “A web-site for calculating the degree of chirality”
    http://www.csm.huji.ac.il
    Chirality, 23: 17–23 (2011)
    326. Chaim Dryzun and David Avnir
    “Chirality Measures for Vectors, Matrices, Operators and Functions”
    ChemPhysChem, 12, 197 – 205 (2011)
    327. Chaim Dryzun, Pere Alemany, David Casanova and David Avnir
    “A continuous symmetry analysis of chemical bonding”
    Chem. Eur. J., 17, 6129 – 6141 (2011)
    328. Inbal Tuvi-Arad and David Avnir
    “Quantifying Asymmetry in Concerted Reactions: Solvents Effect on a Diels_Alder Cycloaddition”
    J. Org. Chem., 76, 4973 – 4979 (2011)
    329. Chaim Dryzun, Amir Zait and David Avnir
    “Quantitative Symmetry and Chirality—A Fast Computational Algorithm for Large Structures: Proteins, Macromolecules, Nanotubes, and Unit Cells”
    J. Comput. Chem., 32, 2526 – 2538, (2011)
    335. Hadassah Elgavi, Christian Krekeler, Robert Berger and David Avnir
    “Chirality in Copper Nanoalloy Clusters”
    J. Phys. Chem. C, 116, 330–335 (2012)
    337. Chaim Dryzun and David Avnir
    “On the abundance of chiral crystals”
    Chem. Commun., 48, 5874–5876 (2012). DOI: 10.1039/c2cc17727g
    Highlight: Harriet Brewerton, Chem. World News, 15.5.12
    http://www.rsc.org/chemistryworld/News/2012/May/chiral-crystals-more-abundant-than-presumed.asp
    339. Inbal Tuvi-Arad and David Avnir
    “Solvents and substitution effects on the asymmetry and reactivity of Diels-Alder reactions”
    Chem. Europ. J., 18, 10014-20 (2012); DOI: 10.1002/chem.201200927
    2013 - 2015

    341. Mark Pinsky, Amir Zait, Maayan Bonjack and David Avnir
    "Continuous symmetry analyses: Cnv and Dn measures of molecules, complexes and proteins"
    J. Comput. Chem., 34, 2–9 (2013). DOI: 10.1039/c2jm34032a

    361. Maayan Bonjack-Shterengartz and David Avnir
    “The near-symmetry of proteins”
    Proteins, 83, 722–734 (2015); DOI 10.1002/prot.24706 + Supplementary
    374. Hadassah Elgavi Sinai and David Avnir
    “Adsorption induced symmetry distortions in W@Au12 nanocluster, leading to enhanced hyperpolarizabilities”
    Israel J. Chem, 56, 1076 – 1081 (2016), DOI: 10.1002/ijch.201600082
    Supporting information

    377. Pere Alemany, David Casanova, Santiago Alvarez, Chaim Dryzun, and David Avnir
    “Continuous Symmetry Measures: A New Tool in Quantum Chemistry”
    Reviews in Computational Chemistry, Volume 30, Abby L. Parrill and Kenneth B. Lipkowitz, Editors, Chapter 7, p. 289 – 352, Wiley, 2017
    Google books

    381. Maayan Bonjack-Shterengartz and David Avnir
    “The enigma of the near-symmetry of proteins: Domain swapping”
    PLoS ONE, 12(7): e0180030 (2017), pp 1-17. https://doi.org/10.1371/journal.pone.0180030
    Supporting information

    383. Yael Baruch-Shpigler, Huan Wang, Inbal Tuvi-Arad, and David Avnir
    “Chiral Ramachandran Plots I: Glycine”
    Biochemistry, 56 (42), pp 5635–5643 (2017)+ Supplementary, DOI: 10.1021/acs.biochem.7b00525
    388. Huan Wang, David Avnir and Inbal Tuvi-Arad
    “Chiral Ramachandran Plots II: General Trends and Protein Chirality Spectra”
    J. Phys. Chem. C, 57, 6395−6403 (2018), DOI: 10.1021/acs.biochem.8b00974 + Supporting information
    403. Maayan Bonjack and David Avnir
    "The near-symmetry of protein oligomers: NMR-derived structures"
    Scientific Reports, 10:8367 (2020), 15 pages+ supplementary.
    406. Ariela W. Kaspi-Kaneti, Jorge Barroso, Gabriel Merino, David Avnir, Ignacio L. Garzón and Inbal Tuvi-Arad
    “Head to Tail Distortion Wave Characterizes the Enantiomerization of Helicenes”
    J. Org. Chem., 85, 15415−15421 (2020)
    407. David Avnir
    “Critical review of chirality indicators of extraterrestrial life”
    New Astronomy Rev., 92, 101596 (2021) 8 pages

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