Wet-processable and highly conductive polymers are promising candidates for key materials in organic electronics. Poly(3,4-ethylenedioxythiophene):poly(4-styrenesulfonate) (PEDOT:PSS) is commercially available as a water dispersion of colloidal particles but has some technical issues with PSS. Here, we developed a novel fully soluble self-doped PEDOT (S-PEDOT) with an electrical conductivity as high as 1089 S cm−1without additives (solvent effect). Our results indicate that the molecular weight of S-PEDOT is the critical parameter for increasing the number of nanocrystals, corresponding to the S-PEDOT crystallites evaluated by x-ray diffraction and conductive atomic force microscopic analyses as having high electrical conductivity, which reduced both the average distance between adjacent nanocrystals and the activation energy for the hopping of charge carriers, leading to the highest bulk conductivity.
We obtain the mutual information of Ising systems, which shows singular behavior near the critical point. We connect the mutual information with the magnetization and the correlation function. The mutual information is a suitable measure for the critical behavior of Ising systems.
I. I N T R O D U C T I O NLet AB be a joint system consisting of individual systems A and B. If A has states { et } and B has states { 13 }, AB has joint states { ctl3 }. The probability distributions of these systems are given by = = where p~ and p~ denote the probabilities that A is in ct and B is in 13, respectively, and p~ denotes the joint probability that AB is in ct13. The mutual information (Shannon, 1948) between A and B is defined bywhere St (SB) is the individual entropy of A (B) and SAS is the joint entropy of AB as follows: Sa = -2 P~ log p~, Sn = -~ p~ log p~ (3) San = -~] p~ log pA~ (4)
Dimethyl formamide was catalytically synthesized from dimethyl amine, carbon dioxide and hydrogen in the presence of palladium(II) chloride and bases in the methyl cellosolve.
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