Chemical potential formalism for polymer entropic forces View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2019-03-01

AUTHORS

Hong-Qing Xie, Cheng-Hung Chang

ABSTRACT

The entropic force is one of the most elusive interactions in macromolecules. It is clearly defined theoretically, but practically difficult to evaluate, thus restricting our knowledge of it often to a qualitative level. Here, we propose a formula for entropic force, f = f-o\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\hskip0.3pt}^{\rm -{\hskip-4.3pt}o}$$\end{document} + T ln(α), for confined polymers and demonstrate its mathematical equivalence to the widely used chemical potential formula for solutions, μ = μ-o+RT̃ln(a)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$^{\rm -{\hskip-4.3pt}o} +R\tilde T\,{\mathrm{ln}}(a)$$\end{document}. A systematic analysis based on this formalism clarifies the force magnitudes obtained in several recent experiments on polymers and granular chains and elucidates the common force scales for polymers studied in nanoscience and biological systems. This work provides a practical tool for instantaneously evaluating the entropic forces in polymer science and indicates the possibility of using a reference-based strategy to tackle general entropic problems beyond chemical solutions. More... »

PAGES

24

Identifiers

URI

http://scigraph.springernature.com/pub.10.1038/s42005-019-0118-8

DOI

http://dx.doi.org/10.1038/s42005-019-0118-8

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1112459412


Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
Incoming Citations Browse incoming citations for this publication using opencitations.net

JSON-LD is the canonical representation for SciGraph data.

TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

[
  {
    "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
    "about": [
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/03", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Chemical Sciences", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0303", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Macromolecular and Materials Chemistry", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "Institute of Physics, National Chiao Tung University, 300, Hsinchu, Taiwan", 
          "id": "http://www.grid.ac/institutes/grid.260539.b", 
          "name": [
            "Institute of Physics, National Chiao Tung University, 300, Hsinchu, Taiwan"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Xie", 
        "givenName": "Hong-Qing", 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Institute of Physics, National Chiao Tung University, 300, Hsinchu, Taiwan", 
          "id": "http://www.grid.ac/institutes/grid.260539.b", 
          "name": [
            "Institute of Physics, National Chiao Tung University, 300, Hsinchu, Taiwan"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Chang", 
        "givenName": "Cheng-Hung", 
        "id": "sg:person.01345405416.24", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01345405416.24"
        ], 
        "type": "Person"
      }
    ], 
    "datePublished": "2019-03-01", 
    "datePublishedReg": "2019-03-01", 
    "description": "The entropic force is one of the most elusive interactions in macromolecules. It is clearly defined theoretically, but practically difficult to evaluate, thus restricting our knowledge of it often to a qualitative level. Here, we propose a formula for entropic force, f\u2009=\u2009f-o\\documentclass[12pt]{minimal}\n\t\t\t\t\\usepackage{amsmath}\n\t\t\t\t\\usepackage{wasysym}\n\t\t\t\t\\usepackage{amsfonts}\n\t\t\t\t\\usepackage{amssymb}\n\t\t\t\t\\usepackage{amsbsy}\n\t\t\t\t\\usepackage{mathrsfs}\n\t\t\t\t\\usepackage{upgreek}\n\t\t\t\t\\setlength{\\oddsidemargin}{-69pt}\n\t\t\t\t\\begin{document}$${\\hskip0.3pt}^{\\rm -{\\hskip-4.3pt}o}$$\\end{document}\u2009+\u2009T ln(\u03b1), for confined polymers and demonstrate its mathematical equivalence to the widely used chemical potential formula for solutions, \u03bc\u2009=\u2009\u03bc-o+RT\u0303ln(a)\\documentclass[12pt]{minimal}\n\t\t\t\t\\usepackage{amsmath}\n\t\t\t\t\\usepackage{wasysym}\n\t\t\t\t\\usepackage{amsfonts}\n\t\t\t\t\\usepackage{amssymb}\n\t\t\t\t\\usepackage{amsbsy}\n\t\t\t\t\\usepackage{mathrsfs}\n\t\t\t\t\\usepackage{upgreek}\n\t\t\t\t\\setlength{\\oddsidemargin}{-69pt}\n\t\t\t\t\\begin{document}$$^{\\rm -{\\hskip-4.3pt}o} +R\\tilde T\\,{\\mathrm{ln}}(a)$$\\end{document}. A systematic analysis based on this formalism clarifies the force magnitudes obtained in several recent experiments on polymers and granular chains and elucidates the common force scales for polymers studied in nanoscience and biological systems. This work provides a practical tool for instantaneously evaluating the entropic forces in polymer science and indicates the possibility of using a reference-based strategy to tackle general entropic problems beyond chemical solutions.", 
    "genre": "article", 
    "id": "sg:pub.10.1038/s42005-019-0118-8", 
    "inLanguage": "en", 
    "isAccessibleForFree": true, 
    "isPartOf": [
      {
        "id": "sg:journal.1319375", 
        "issn": [
          "2399-3650"
        ], 
        "name": "Communications Physics", 
        "publisher": "Springer Nature", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "1", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "2"
      }
    ], 
    "keywords": [
      "entropic force", 
      "polymer science", 
      "confined polymers", 
      "polymers", 
      "chemical solutions", 
      "biological systems", 
      "elusive interactions", 
      "mathematical equivalence", 
      "nanoscience", 
      "macromolecules", 
      "granular chains", 
      "solution", 
      "potential formalism", 
      "force scales", 
      "chain", 
      "reference-based strategy", 
      "formalism", 
      "recent experiments", 
      "potential formula", 
      "qualitative level", 
      "formula", 
      "interaction", 
      "force", 
      "practical tool", 
      "force magnitude", 
      "equivalence", 
      "problem", 
      "work", 
      "systematic analysis", 
      "magnitude", 
      "experiments", 
      "analysis", 
      "system", 
      "possibility", 
      "strategies", 
      "science", 
      "tool", 
      "scale", 
      "levels", 
      "knowledge", 
      "chemical potential formula", 
      "common force scales", 
      "general entropic problems", 
      "entropic problems", 
      "Chemical potential formalism", 
      "polymer entropic forces"
    ], 
    "name": "Chemical potential formalism for polymer entropic forces", 
    "pagination": "24", 
    "productId": [
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1112459412"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1038/s42005-019-0118-8"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1038/s42005-019-0118-8", 
      "https://app.dimensions.ai/details/publication/pub.1112459412"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2021-12-01T19:44", 
    "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
    "sdPublisher": {
      "name": "Springer Nature - SN SciGraph project", 
      "type": "Organization"
    }, 
    "sdSource": "s3://com-springernature-scigraph/baseset/20211201/entities/gbq_results/article/article_818.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "https://doi.org/10.1038/s42005-019-0118-8"
  }
]
 

Download the RDF metadata as:  json-ld nt turtle xml License info

HOW TO GET THIS DATA PROGRAMMATICALLY:

JSON-LD is a popular format for linked data which is fully compatible with JSON.

curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1038/s42005-019-0118-8'

N-Triples is a line-based linked data format ideal for batch operations.

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1038/s42005-019-0118-8'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1038/s42005-019-0118-8'

RDF/XML is a standard XML format for linked data.

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1038/s42005-019-0118-8'


 

This table displays all metadata directly associated to this object as RDF triples.

109 TRIPLES      21 PREDICATES      71 URIs      63 LITERALS      6 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1038/s42005-019-0118-8 schema:about anzsrc-for:03
2 anzsrc-for:0303
3 schema:author Nf67d200a496047fdb86ebce048652bc9
4 schema:datePublished 2019-03-01
5 schema:datePublishedReg 2019-03-01
6 schema:description The entropic force is one of the most elusive interactions in macromolecules. It is clearly defined theoretically, but practically difficult to evaluate, thus restricting our knowledge of it often to a qualitative level. Here, we propose a formula for entropic force, f = f-o\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\hskip0.3pt}^{\rm -{\hskip-4.3pt}o}$$\end{document} + T ln(α), for confined polymers and demonstrate its mathematical equivalence to the widely used chemical potential formula for solutions, μ = μ-o+RT̃ln(a)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$^{\rm -{\hskip-4.3pt}o} +R\tilde T\,{\mathrm{ln}}(a)$$\end{document}. A systematic analysis based on this formalism clarifies the force magnitudes obtained in several recent experiments on polymers and granular chains and elucidates the common force scales for polymers studied in nanoscience and biological systems. This work provides a practical tool for instantaneously evaluating the entropic forces in polymer science and indicates the possibility of using a reference-based strategy to tackle general entropic problems beyond chemical solutions.
7 schema:genre article
8 schema:inLanguage en
9 schema:isAccessibleForFree true
10 schema:isPartOf N25b463c9bd8e44fa85489a09074f0232
11 Nb5bf9532c9dc4b0a8392c74461eb1051
12 sg:journal.1319375
13 schema:keywords Chemical potential formalism
14 analysis
15 biological systems
16 chain
17 chemical potential formula
18 chemical solutions
19 common force scales
20 confined polymers
21 elusive interactions
22 entropic force
23 entropic problems
24 equivalence
25 experiments
26 force
27 force magnitude
28 force scales
29 formalism
30 formula
31 general entropic problems
32 granular chains
33 interaction
34 knowledge
35 levels
36 macromolecules
37 magnitude
38 mathematical equivalence
39 nanoscience
40 polymer entropic forces
41 polymer science
42 polymers
43 possibility
44 potential formalism
45 potential formula
46 practical tool
47 problem
48 qualitative level
49 recent experiments
50 reference-based strategy
51 scale
52 science
53 solution
54 strategies
55 system
56 systematic analysis
57 tool
58 work
59 schema:name Chemical potential formalism for polymer entropic forces
60 schema:pagination 24
61 schema:productId N6731740da3c746928cdbf5caa9d46155
62 Nb59dea7109ba4bf2934af67d6889f020
63 schema:sameAs https://app.dimensions.ai/details/publication/pub.1112459412
64 https://doi.org/10.1038/s42005-019-0118-8
65 schema:sdDatePublished 2021-12-01T19:44
66 schema:sdLicense https://scigraph.springernature.com/explorer/license/
67 schema:sdPublisher N1dd60c4e23ec4ac598a58c64c84e172b
68 schema:url https://doi.org/10.1038/s42005-019-0118-8
69 sgo:license sg:explorer/license/
70 sgo:sdDataset articles
71 rdf:type schema:ScholarlyArticle
72 N1dd60c4e23ec4ac598a58c64c84e172b schema:name Springer Nature - SN SciGraph project
73 rdf:type schema:Organization
74 N25b463c9bd8e44fa85489a09074f0232 schema:issueNumber 1
75 rdf:type schema:PublicationIssue
76 N5f529dea072a41318201188fa20513f9 schema:affiliation grid-institutes:grid.260539.b
77 schema:familyName Xie
78 schema:givenName Hong-Qing
79 rdf:type schema:Person
80 N6731740da3c746928cdbf5caa9d46155 schema:name dimensions_id
81 schema:value pub.1112459412
82 rdf:type schema:PropertyValue
83 N8a4489b87c0444ebb6b76a621face2d9 rdf:first sg:person.01345405416.24
84 rdf:rest rdf:nil
85 Nb59dea7109ba4bf2934af67d6889f020 schema:name doi
86 schema:value 10.1038/s42005-019-0118-8
87 rdf:type schema:PropertyValue
88 Nb5bf9532c9dc4b0a8392c74461eb1051 schema:volumeNumber 2
89 rdf:type schema:PublicationVolume
90 Nf67d200a496047fdb86ebce048652bc9 rdf:first N5f529dea072a41318201188fa20513f9
91 rdf:rest N8a4489b87c0444ebb6b76a621face2d9
92 anzsrc-for:03 schema:inDefinedTermSet anzsrc-for:
93 schema:name Chemical Sciences
94 rdf:type schema:DefinedTerm
95 anzsrc-for:0303 schema:inDefinedTermSet anzsrc-for:
96 schema:name Macromolecular and Materials Chemistry
97 rdf:type schema:DefinedTerm
98 sg:journal.1319375 schema:issn 2399-3650
99 schema:name Communications Physics
100 schema:publisher Springer Nature
101 rdf:type schema:Periodical
102 sg:person.01345405416.24 schema:affiliation grid-institutes:grid.260539.b
103 schema:familyName Chang
104 schema:givenName Cheng-Hung
105 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01345405416.24
106 rdf:type schema:Person
107 grid-institutes:grid.260539.b schema:alternateName Institute of Physics, National Chiao Tung University, 300, Hsinchu, Taiwan
108 schema:name Institute of Physics, National Chiao Tung University, 300, Hsinchu, Taiwan
109 rdf:type schema:Organization
 




Preview window. Press ESC to close (or click here)


...