Decoding chirality in circuit topology of a self entangled chain through braiding

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Standard

Decoding chirality in circuit topology of a self entangled chain through braiding. / Berx, Jonas; Mashaghi, Alireza.

I: Soft Matter, Bind 19, Nr. 31, 21.07.2023, s. 5888-5895.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Berx, J & Mashaghi, A 2023, 'Decoding chirality in circuit topology of a self entangled chain through braiding', Soft Matter, bind 19, nr. 31, s. 5888-5895. https://doi.org/10.1039/d3sm00390f

APA

Berx, J., & Mashaghi, A. (2023). Decoding chirality in circuit topology of a self entangled chain through braiding. Soft Matter, 19(31), 5888-5895. https://doi.org/10.1039/d3sm00390f

Vancouver

Berx J, Mashaghi A. Decoding chirality in circuit topology of a self entangled chain through braiding. Soft Matter. 2023 jul. 21;19(31):5888-5895. https://doi.org/10.1039/d3sm00390f

Author

Berx, Jonas ; Mashaghi, Alireza. / Decoding chirality in circuit topology of a self entangled chain through braiding. I: Soft Matter. 2023 ; Bind 19, Nr. 31. s. 5888-5895.

Bibtex

@article{defd1cb976ce44ca9254cd19b4479d10,

title = "Decoding chirality in circuit topology of a self entangled chain through braiding",

abstract = "Circuit topology employs fundamental units of entanglement, known as soft contacts, for constructing knots from the bottom up, utilizing circuit topology relations, namely parallel, series, cross, and concerted relations. In this article, we further develop this approach to facilitate the analysis of chirality, which is a significant quantity in polymer chemistry. To achieve this, we translate the circuit topology approach to knot engineering into a braid-theoretic framework. This enables us to calculate the Jones polynomial for all possible binary combinations of contacts in cross or concerted relations and to show that, for series and parallel relations, the polynomial factorises. Our results demonstrate that the Jones polynomial provides a powerful tool for analysing the chirality of molecular knots constructed using circuit topology. The framework presented here can be used to design and engineer a wide range of entangled chain with desired chiral properties, with potential applications in fields such as materials science and nanotechnology.",

author = "Jonas Berx and Alireza Mashaghi",

note = "Publisher Copyright: {\textcopyright} 2023 The Royal Society of Chemistry.",

year = "2023",

month = jul,

day = "21",

doi = "10.1039/d3sm00390f",

language = "English",

volume = "19",

pages = "5888--5895",

journal = "Soft Matter",

issn = "1744-683X",

publisher = "Royal Society of Chemistry",

number = "31",

}

RIS

TY - JOUR

T1 - Decoding chirality in circuit topology of a self entangled chain through braiding

AU - Berx, Jonas

AU - Mashaghi, Alireza

PY - 2023/7/21

Y1 - 2023/7/21

N2 - Circuit topology employs fundamental units of entanglement, known as soft contacts, for constructing knots from the bottom up, utilizing circuit topology relations, namely parallel, series, cross, and concerted relations. In this article, we further develop this approach to facilitate the analysis of chirality, which is a significant quantity in polymer chemistry. To achieve this, we translate the circuit topology approach to knot engineering into a braid-theoretic framework. This enables us to calculate the Jones polynomial for all possible binary combinations of contacts in cross or concerted relations and to show that, for series and parallel relations, the polynomial factorises. Our results demonstrate that the Jones polynomial provides a powerful tool for analysing the chirality of molecular knots constructed using circuit topology. The framework presented here can be used to design and engineer a wide range of entangled chain with desired chiral properties, with potential applications in fields such as materials science and nanotechnology.

AB - Circuit topology employs fundamental units of entanglement, known as soft contacts, for constructing knots from the bottom up, utilizing circuit topology relations, namely parallel, series, cross, and concerted relations. In this article, we further develop this approach to facilitate the analysis of chirality, which is a significant quantity in polymer chemistry. To achieve this, we translate the circuit topology approach to knot engineering into a braid-theoretic framework. This enables us to calculate the Jones polynomial for all possible binary combinations of contacts in cross or concerted relations and to show that, for series and parallel relations, the polynomial factorises. Our results demonstrate that the Jones polynomial provides a powerful tool for analysing the chirality of molecular knots constructed using circuit topology. The framework presented here can be used to design and engineer a wide range of entangled chain with desired chiral properties, with potential applications in fields such as materials science and nanotechnology.

U2 - 10.1039/d3sm00390f

DO - 10.1039/d3sm00390f

M3 - Journal article

C2 - 37477235

AN - SCOPUS:85167338484

VL - 19

SP - 5888

EP - 5895

JO - Soft Matter

JF - Soft Matter

SN - 1744-683X

IS - 31

ER -

ID: 371847362