Models of Electron-Hole Screening and Exciton Binding in Conjugated Polymers

1995 ◽  
Vol 413 ◽  
Author(s):  
David Yaron ◽  
Eric Moore ◽  
Benjamin Gherman

ABSTRACTThe use of semi-empirical quantum chemistry to calculate the exciton binding energy of conjugated polymers is discussed. Both the Pariser-Parr-Pople (PPP) model with Ohno parameterization and the models present in the MOPAC program overestimate the exciton binding energy relative to that observed in solid-state materials. Inclusion of Coulomb screening from adjacent chains may correct this overestimation. The solvation energy of a point charge in polyacetylene is calculated as 0.9eV, using Hartree-Fock theory to describe the polarization induced in the solvent chains. It is argued that including screening by modifying the electron-electron interaction energy of the PPP model introduces physically unreasonable side effects and is not consistent with the 0.9eV solvation energy of a point charge. Electron-hole screening models are then discussed along with the need to consider the relative time scales of the electron-hole motion and the dielectric response.

MRS Bulletin ◽  
1998 ◽  
Vol 23 (4) ◽  
pp. 33-38 ◽  
Author(s):  
Leonid Tsybeskov

Light emission in silicon has been intensively investigated since the 1950s when crystalline silicon (c-Si) was recognized as the dominant material in microelectronics. Silicon is an indirect-bandgap semiconductor and momentum conservation requires phonon assistance in radiative electron-hole recombination (Figure 1a, top left). Because phonons carry a momentum and an energy, the typical signature of phonon-assisted recombination is several peaks in the photoluminescence (PL) spectra at low temperature. These PL peaks are called “phonon replicas.” High-purity c-Si PL is caused by free-exciton self-annihilation with the exciton binding energy of ~11 meV. The TO-phonon contribution in conservation processes is most significant, and the main PL peak (~1.1 eV) is shifted from the bandgap value (~1.17 eV) by ~70 meV—that is, the exciton binding energy plus TO-phonon energy (Figure 1a).


2019 ◽  
Vol 58 (30) ◽  
pp. 10236-10240 ◽  
Author(s):  
Zhi‐An Lan ◽  
Guigang Zhang ◽  
Xiong Chen ◽  
Yongfan Zhang ◽  
Kai A. I. Zhang ◽  
...  

2019 ◽  
Vol 131 (30) ◽  
pp. 10342-10346 ◽  
Author(s):  
Zhi‐An Lan ◽  
Guigang Zhang ◽  
Xiong Chen ◽  
Yongfan Zhang ◽  
Kai A. I. Zhang ◽  
...  

2020 ◽  
Vol 29 (05) ◽  
pp. 2050025
Author(s):  
S. A. Seyyedi

In this study, we have investigated the [Formula: see text]-decay chains of even–even superheavy nuclei [Formula: see text] in the range of [Formula: see text]. The Hartree–Fock–Bogoliubov model is used to calculate the binding energy of these superheavy nuclei. We have included the so-called SkP skyrme function as an effective force and the quadruple deformations. The semi-empirical formulas are used in the reproducing [Formula: see text]-decay and spontaneous fission half-lives of these superheavy nuclei. By studying the decay chains of the Z = 120 isotopes and comparing them with the half-lives of spontaneous fission, it is predicted that the elements [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text],[Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text] are more stable than the neighboring isotopes in their parent [Formula: see text]-decay chain. The corresponding neutron and proton numbers represent magical behavior that is in agreement with the numbers predicted before. In this range, the predicted nuclei are found to have large enough half-lives to synthesize them in a laboratory.


2000 ◽  
Vol 111-112 ◽  
pp. 527-530 ◽  
Author(s):  
L Rossi ◽  
S.F Alvarado ◽  
W Rieß ◽  
S Schrader ◽  
D.G Lidzey ◽  
...  

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