Threading a Ring or Tube onto a Rod: An Entropically Rare Event

Edith M. Sevick; David R.M. Williams

doi:10.1021/acs.nanolett.5b04440

Threading a Ring or Tube onto a Rod: An Entropically Rare Event

Edith M. Sevick^*, David R.M. Williams

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

We calculate the entropy lost when a circular ring or a circular cylinder or tube is threaded onto a long rod in terms of the geometrical parameters, namely rod length and radius, the threaded ring radius, or the radius and length of a threaded tube. These formulas, constructed from a partition function, allow calculation of the fraction of rings/tubes threaded spontaneously onto rods. In all cases of practical interest, this fraction is very small and can be well represented by simple power laws depending strongly upon the geometrical parameters. (Figure Presented).

Original language	English
Pages (from-to)	671-674
Number of pages	4
Journal	Nano Letters
Volume	16
Issue number	1
DOIs	https://doi.org/10.1021/acs.nanolett.5b04440
Publication status	Published - 13 Jan 2016

Access to Document

10.1021/acs.nanolett.5b04440

Cite this

@article{eb38f885a4d0415c9476a59ac58a49f0,

title = "Threading a Ring or Tube onto a Rod: An Entropically Rare Event",

abstract = "We calculate the entropy lost when a circular ring or a circular cylinder or tube is threaded onto a long rod in terms of the geometrical parameters, namely rod length and radius, the threaded ring radius, or the radius and length of a threaded tube. These formulas, constructed from a partition function, allow calculation of the fraction of rings/tubes threaded spontaneously onto rods. In all cases of practical interest, this fraction is very small and can be well represented by simple power laws depending strongly upon the geometrical parameters. (Figure Presented).",

keywords = "Threading, nanotubes, orientational entropy, polymer translocation, rotaxanes",

author = "Sevick, {Edith M.} and Williams, {David R.M.}",

note = "Publisher Copyright: {\textcopyright} 2015 American Chemical Society.",

year = "2016",

month = jan,

day = "13",

doi = "10.1021/acs.nanolett.5b04440",

language = "English",

volume = "16",

pages = "671--674",

journal = "Nano Letters",

issn = "1530-6984",

publisher = "American Chemical Society",

number = "1",

}

TY - JOUR

T1 - Threading a Ring or Tube onto a Rod

T2 - An Entropically Rare Event

AU - Sevick, Edith M.

AU - Williams, David R.M.

PY - 2016/1/13

Y1 - 2016/1/13

N2 - We calculate the entropy lost when a circular ring or a circular cylinder or tube is threaded onto a long rod in terms of the geometrical parameters, namely rod length and radius, the threaded ring radius, or the radius and length of a threaded tube. These formulas, constructed from a partition function, allow calculation of the fraction of rings/tubes threaded spontaneously onto rods. In all cases of practical interest, this fraction is very small and can be well represented by simple power laws depending strongly upon the geometrical parameters. (Figure Presented).

AB - We calculate the entropy lost when a circular ring or a circular cylinder or tube is threaded onto a long rod in terms of the geometrical parameters, namely rod length and radius, the threaded ring radius, or the radius and length of a threaded tube. These formulas, constructed from a partition function, allow calculation of the fraction of rings/tubes threaded spontaneously onto rods. In all cases of practical interest, this fraction is very small and can be well represented by simple power laws depending strongly upon the geometrical parameters. (Figure Presented).

KW - Threading

KW - nanotubes

KW - orientational entropy

KW - polymer translocation

KW - rotaxanes

UR - http://www.scopus.com/inward/record.url?scp=84957549677&partnerID=8YFLogxK

U2 - 10.1021/acs.nanolett.5b04440

DO - 10.1021/acs.nanolett.5b04440

M3 - Article

SN - 1530-6984

VL - 16

SP - 671

EP - 674

JO - Nano Letters

JF - Nano Letters

IS - 1

ER -

Threading a Ring or Tube onto a Rod: An Entropically Rare Event

Abstract

Access to Document

Other files and links

Fingerprint

Cite this