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
Monte Carlo approach to the analysis of the rotational diffusion of wormlike chains. / Hagerman, Paul J; Zimm, Bruno H.
In: Biopolymers, Vol. 20, No. 7, 1981, p. 1481-1502.Research output: Contribution to journal › Article
}
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
AN - SCOPUS:84985720098
VL - 20
SP - 1481
EP - 1502
JO - Biopolymers - Peptide Science Section
JF - Biopolymers - Peptide Science Section
SN - 0006-3525
IS - 7
ER -