DOI: 10.1002/bip.1978.360170213. Statistical mechanical deconvolution of thermal transitions in macromolecules. II. General treatment of cooperative phenomena

Statistical mechanical deconvolution of thermal transitions in macromolecules. II. General treatment of cooperative phenomena

10.1002/bip.1978.360170213

Crossref journal-article

Wiley

Biopolymers (311)

Abstract

AbstractIn the preceding article1 we demonstrated that the partition function of a system is experimentally accessible from scanning calorimetric data. In this article the general results of the deconvolution theory are applied to the general case of cooperative transitions in macromolecules. It is demonstrated that, in the limit of very large systems, all the relevant molecular averages and molecular distribution functions can be directly obtained from the experiment. In doing this, the method of the grand partition function is used. It is shown that in the case of homopolymers, only one parameter, the stability constant, needs to be explicitly specified for a complete description of the system. Since the partition function is directly evaluated from the experiment, no special assumptions or artificial constraints directed to obtain a mathematically solvable model are required. This result offers the unique opportunity of having direct experimental access to statistical averages of systems in which the partition function cannot analytically be solved. Consequently, the theory can be extended to cooperative transitions occurring in two and three dimensions by introducing cluster distribution functions.

Bibliography

Freire, E., & Biltonen, R. L. (1978). Statistical mechanical deconvolution of thermal transitions in macromolecules. II. General treatment of cooperative phenomena. Biopolymers, 17(2), 481â496. Portico.

Authors 2

Ernesto Freire (first)
Rodney L. Biltonen (additional)

References 11 Referenced 52

10.1002/bip.1978.360170212
10.1002/bip.360010104
10.1007/BF01008731
10.1063/1.1679913
10.1063/1.1725077
{'key': 'e_1_2_1_7_2', 'volume-title': 'Introduction to Statistical Thermodynamics', 'author': 'Hill T.', 'year': '1960'} / Introduction to Statistical Thermodynamics by Hill T. (1960)
10.1063/1.1671105
{'key': 'e_1_2_1_9_2', 'volume-title': 'Theory of Helix‐Coil Transitions in Biopolymers', 'author': 'Poland D.', 'year': '1970'} / Theory of Helix‐Coil Transitions in Biopolymers by Poland D. (1970)
10.1016/0014-5793(74)80697-6
10.1002/bip.1967.360050706
10.1002/bip.1977.360161206

Dates

Type	When
Created	20 years, 7 months ago (Dec. 29, 2004, 9:08 p.m.)
Deposited	1 year, 10 months ago (Oct. 19, 2023, 12:25 p.m.)
Indexed	2 weeks, 5 days ago (Aug. 6, 2025, 8:46 a.m.)
Issued	47 years, 6 months ago (Feb. 1, 1978)
Published	47 years, 6 months ago (Feb. 1, 1978)
Published Online	21 years, 6 months ago (Feb. 1, 2004)
Published Print	47 years, 6 months ago (Feb. 1, 1978)

Funders 0

None

BibTeX

@article{Freire_1978, title={Statistical mechanical deconvolution of thermal transitions in macromolecules. II. General treatment of cooperative phenomena}, volume={17}, ISSN={1097-0282}, url={http://dx.doi.org/10.1002/bip.1978.360170213}, DOI={10.1002/bip.1978.360170213}, number={2}, journal={Biopolymers}, publisher={Wiley}, author={Freire, Ernesto and Biltonen, Rodney L.}, year={1978}, month=feb, pages={481–496} }

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