### Abstract

A Monte Carlo analysis is presented which establishes a relationship between the rotational diffusion coefficients and the flexibility (persistence length, P) of short, wormlike chains. The results of this analysis are presented in terms of experimentally observable quantities; namely, the rotational relaxation times for the field‐free decay of optical anisotropy. The pertinent theoretical quantity is R, defined as the ratio of the longest rotational relaxation time of a wormlike chain to the transverse rotational relaxation time of a rigid cylinder having the same axial length (L) and segmental volume. R, so defined, is essentially independent of the axial ratio of the cylinder for any value of L/P within the range of validity of the present analysis (axial ratio > 20; 0.1 < L/P < 5). It is pointed out that P can be determined with reasonable accuracy even in the absence of a precise knowledge of the local hydrodynamic radius of the chain.

Original language | English (US) |
---|---|

Pages (from-to) | 1481-1502 |

Number of pages | 22 |

Journal | Biopolymers |

Volume | 20 |

Issue number | 7 |

DOIs | |

State | Published - 1981 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Biophysics
- Biochemistry
- Biomaterials
- Organic Chemistry

### Cite this

*Biopolymers*,

*20*(7), 1481-1502. https://doi.org/10.1002/bip.1981.360200709

**Monte Carlo approach to the analysis of the rotational diffusion of wormlike chains.** / Hagerman, Paul J; Zimm, Bruno H.

Research output: Contribution to journal › Article

*Biopolymers*, vol. 20, no. 7, pp. 1481-1502. https://doi.org/10.1002/bip.1981.360200709

}

TY - JOUR

T1 - Monte Carlo approach to the analysis of the rotational diffusion of wormlike chains

AU - Hagerman, Paul J

AU - Zimm, Bruno H.

PY - 1981

Y1 - 1981

N2 - A Monte Carlo analysis is presented which establishes a relationship between the rotational diffusion coefficients and the flexibility (persistence length, P) of short, wormlike chains. The results of this analysis are presented in terms of experimentally observable quantities; namely, the rotational relaxation times for the field‐free decay of optical anisotropy. The pertinent theoretical quantity is R, defined as the ratio of the longest rotational relaxation time of a wormlike chain to the transverse rotational relaxation time of a rigid cylinder having the same axial length (L) and segmental volume. R, so defined, is essentially independent of the axial ratio of the cylinder for any value of L/P within the range of validity of the present analysis (axial ratio > 20; 0.1 < L/P < 5). It is pointed out that P can be determined with reasonable accuracy even in the absence of a precise knowledge of the local hydrodynamic radius of the chain.

AB - A Monte Carlo analysis is presented which establishes a relationship between the rotational diffusion coefficients and the flexibility (persistence length, P) of short, wormlike chains. The results of this analysis are presented in terms of experimentally observable quantities; namely, the rotational relaxation times for the field‐free decay of optical anisotropy. The pertinent theoretical quantity is R, defined as the ratio of the longest rotational relaxation time of a wormlike chain to the transverse rotational relaxation time of a rigid cylinder having the same axial length (L) and segmental volume. R, so defined, is essentially independent of the axial ratio of the cylinder for any value of L/P within the range of validity of the present analysis (axial ratio > 20; 0.1 < L/P < 5). It is pointed out that P can be determined with reasonable accuracy even in the absence of a precise knowledge of the local hydrodynamic radius of the chain.

UR - http://www.scopus.com/inward/record.url?scp=84985720098&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84985720098&partnerID=8YFLogxK

U2 - 10.1002/bip.1981.360200709

DO - 10.1002/bip.1981.360200709

M3 - Article

VL - 20

SP - 1481

EP - 1502

JO - Biopolymers - Peptide Science Section

JF - Biopolymers - Peptide Science Section

SN - 0006-3525

IS - 7

ER -