DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Synthesising topological links

Abstract

We discuss the chemical synthesis of topological links, in particular higher order links which have the Brunnian property (namely that removal of any one component unlinks the entire system). Furthermore, we suggest how to obtain both two dimensional and three dimensional objects (surfaces and solids, respectively) which also have this Brunnian property.

Authors:
 [1];  [2];  [1]
  1. Norwegian University of Science and Technology, Trondheim (Norway). Department of Mathematical Sciences
  2. New York Univ. (NYU), NY (United States). Department of Chemistry
Publication Date:
Research Org.:
New York Univ., NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC); Inst. for Advanced Study, Princeton, NJ (United States); National Institutes of Health (NIH); National Science Foundation (NSF); US Army Research Office (ARO); US Department of the Navy, Office of Naval Research (ONR); Gordon and Betty Moore Foundation; Research Council of Norway
OSTI Identifier:
1343561
Alternate Identifier(s):
OSTI ID: 1454429
Grant/Contract Number:  
SC0007991; GM-29554; CMMI-1120890; EFRI-1332411; CCF-1117210; MURI W911NF-11-1-0024; N000141110729; N000140911118; 3849; 213458
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Mathematical Chemistry
Additional Journal Information:
Journal Volume: 53; Journal Issue: 1; Journal ID: ISSN 0259-9791
Publisher:
Springer
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; 37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY; Synthetic DNA topology of links; Brunnian links; Carpets and solids; Hopf links; Synthesizing double stranded DNA nodes

Citation Formats

Baas, Nils A., Seeman, Nadrian C., and Stacey, Andrew. Synthesising topological links. United States: N. p., 2014. Web. doi:10.1007/s10910-014-0420-3.
Baas, Nils A., Seeman, Nadrian C., & Stacey, Andrew. Synthesising topological links. United States. https://doi.org/10.1007/s10910-014-0420-3
Baas, Nils A., Seeman, Nadrian C., and Stacey, Andrew. Tue . "Synthesising topological links". United States. https://doi.org/10.1007/s10910-014-0420-3. https://www.osti.gov/servlets/purl/1343561.
@article{osti_1343561,
title = {Synthesising topological links},
author = {Baas, Nils A. and Seeman, Nadrian C. and Stacey, Andrew},
abstractNote = {We discuss the chemical synthesis of topological links, in particular higher order links which have the Brunnian property (namely that removal of any one component unlinks the entire system). Furthermore, we suggest how to obtain both two dimensional and three dimensional objects (surfaces and solids, respectively) which also have this Brunnian property.},
doi = {10.1007/s10910-014-0420-3},
journal = {Journal of Mathematical Chemistry},
number = 1,
volume = 53,
place = {United States},
year = {Tue Oct 14 00:00:00 EDT 2014},
month = {Tue Oct 14 00:00:00 EDT 2014}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 10 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

The energy spectrum of knots and links
journal, September 1990


Automatic Molecular Weaving Prototyped by Using Single-Stranded DNA
journal, April 2011

  • Ciengshin, Tanashaya; Sha, Ruojie; Seeman, Nadrian C.
  • Angewandte Chemie International Edition, Vol. 50, Issue 19
  • DOI: 10.1002/anie.201007685

Description of the topological entanglement of DNA catenanes and knots by a powerful method involving strand passage and recombination
journal, October 1987

  • White, James H.; Millett, K. C.; Cozzarelli, Nicholas R.
  • Journal of Molecular Biology, Vol. 197, Issue 3
  • DOI: 10.1016/0022-2836(87)90566-3

Lensless imaging of magnetic nanostructures by X-ray spectro-holography
journal, December 2004

  • Eisebitt, S.; Lüning, J.; Schlotter, W. F.
  • Nature, Vol. 432, Issue 7019
  • DOI: 10.1038/nature03139

Assembly of Borromean rings from DNA
journal, March 1997

  • Mao, Chengde; Sun, Weiqiong; Seeman, Nadrian C.
  • Nature, Vol. 386, Issue 6621
  • DOI: 10.1038/386137b0

Molecular Structure of Nucleic Acids: A Structure for Deoxyribose Nucleic Acid
journal, April 1953

  • Watson, J. D.; Crick, F. H. C.
  • Nature, Vol. 171, Issue 4356
  • DOI: 10.1038/171737a0

High-Resolution Imaging by Fourier Transform X-ray Holography
journal, May 1992


Chemical Topology 1
journal, September 1961

  • Frisch, H. L.; Wasserman, E.
  • Journal of the American Chemical Society, Vol. 83, Issue 18
  • DOI: 10.1021/ja01479a015

X-ray analysis on the nanogram to microgram scale using porous complexes
journal, March 2013

  • Inokuma, Yasuhide; Yoshioka, Shota; Ariyoshi, Junko
  • Nature, Vol. 495, Issue 7442
  • DOI: 10.1038/nature11990

A synthetic DNA molecule in three knotted topologies
journal, February 1995

  • Du, Shou Ming; Stollar, B. David; Seeman, Nadrian C.
  • Journal of the American Chemical Society, Vol. 117, Issue 4
  • DOI: 10.1021/ja00109a002

Design and synthesis of a knot from single-stranded DNA
journal, July 1991

  • Mueller, John E.; Du, Shou Ming; Seeman, Nadrian C.
  • Journal of the American Chemical Society, Vol. 113, Issue 16
  • DOI: 10.1021/ja00016a077

On the chemical synthesis of new topological structures
journal, September 2011


Nucleic acid junctions and lattices
journal, November 1982


Molecular Borromean Rings
journal, May 2004


The Chemistry and Biology of Left-Handed Z-DNA
journal, June 1984


From molecular to macroscopic via the rational design of a self-assembled 3D DNA crystal
journal, September 2009

  • Zheng, Jianping; Birktoft, Jens J.; Chen, Yi
  • Nature, Vol. 461, Issue 7260
  • DOI: 10.1038/nature08274

DNA in a material world
journal, January 2003


DNA Nicks and Nodes and Nanotechnology
journal, January 2001


Tight Single-Stranded DNA Knots
journal, April 1993


On structure and organization: an organizing principle
journal, February 2013


The design of single-stranded nucleic acid knots
journal, January 1992


Works referencing / citing this record:

Introduction
book, January 2017