scholarly journals Solvent Reorganization Energy and Free Energy Change for Donor/Acceptor Electron Transfer at Micelle Surfaces:  Theory and Experiment

1998 ◽  
Vol 102 (31) ◽  
pp. 6078-6088 ◽  
Author(s):  
H. L. Tavernier ◽  
A. V. Barzykin ◽  
M. Tachiya ◽  
M. D. Fayer

The degree of swelling of an amorphous linear polymer in a low-molecular liquid is determined by the free-energy change associated with the process of mixing of polymer and liquid molecules. In the swelling of a cross-linked polymer an additional free-energy change, arising from the elastic extension of the three-dimensional molecular network, has to be taken into account. This term is dependent not only on the volume of the swollen gel, but also on its state of strain; its magnitude may be calculated from the statistical network theory. The way in which this affects the equilibrium swelling is considered, and particular cases of swelling in the presence of external restraints are discussed. In the case of a tensile stress, both theory and experiment show that the equilibrium concentration of liquid is higher than in the unstrained polymer.


ACS Nano ◽  
2018 ◽  
Vol 12 (9) ◽  
pp. 9060-9069 ◽  
Author(s):  
Elizabeth Mariam Thomas ◽  
Sushant Ghimire ◽  
Reiko Kohara ◽  
Ajith Nair Anil ◽  
Ken-ichi Yuyama ◽  
...  

ACS Nano ◽  
2020 ◽  
Vol 14 (10) ◽  
pp. 14250-14250
Author(s):  
Elizabeth Mariam Thomas ◽  
Sushant Ghimire ◽  
Reiko Kohara ◽  
Ajith Nair Anil ◽  
Ken-ichi Yuyama ◽  
...  

2004 ◽  
Vol 03 (04) ◽  
pp. 609-627 ◽  
Author(s):  
QUAN ZHU ◽  
KE-XIANG FU ◽  
XIANG-YUAN LI ◽  
JI-FENG LIU

Based on classical electrodynamics, the proper integral formula for general cases is adopted to estimate the electrostatic free energy difference between two given states, e.g. equilibrium and non-equilibrium states in the charging process of solute molecule in solution. With adequate consideration of the change of dielectric property in establishing the non-equilibrium state, the electrostatic free energy for this state can be obtained in a form differing from the traditional theories. The general formula of the solvent reorganization energy is derived according to the definition of the free energy difference between the non-equilibrium and equilibrium states due to the same electronic state of the solute molecule. Applying it to the two-sphere model and single-sphere model, we obtain the new expressions of the solvent reorganization energy, which are convenient to be used in practice. In the investigation of the return electron transfer of tetracyanoethylene-hexmethylbenzene system, good results can be obtained by using our expression when they are compared with those from the experiment.


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