A simple model for the ionization potential, electron affinity, and aqueous redox potentials of small semiconductor crystallites
Large semiconductor crystals have intrinsic electronic properties dependent upon the bulk band structure. As the crystal becomes small, a new regime is entered in which the electronic properties (excited states, ionization potential, electron affinity) should be strongly dependent upon the electron and hole in a confined space. We address the possibility of a shift in the photochemical redox potential of one carrier, as a function of crystallite size. As a semiquantitative guide, one might expect a shift on the order of h2/8em*R2 due to the kinetic energy of localization in the small crystallite. We model the elementary quantum mechanics of a charged crystallite using (a) the effective mass approximation, (b) an electrostatic potential for dielectric polarization, and (c) penetration of the carrier outside the crystallite in a cases of small effective mass. Shifts of several tenths of an eV appear possible in crystallites of diameter 50 Å. The carrier charge density reside near the crystallite surface if the effective mass is very small.
Top-30
Citations by journals
10
20
30
40
50
60
70
80
|
|
Physical Review B
80 publications, 5.17%
|
|
Journal of Physical Chemistry C
65 publications, 4.2%
|
|
Journal of Physical Chemistry B
40 publications, 2.59%
|
|
Journal of Chemical Physics
38 publications, 2.46%
|
|
Journal of Applied Physics
36 publications, 2.33%
|
|
Nano Letters
26 publications, 1.68%
|
|
Chemistry of Materials
25 publications, 1.62%
|
|
Journal of the American Chemical Society
24 publications, 1.55%
|
|
ACS Nano
23 publications, 1.49%
|
|
Journal of Luminescence
22 publications, 1.42%
|
|
Chemical Physics Letters
22 publications, 1.42%
|
|
Physical Chemistry Chemical Physics
22 publications, 1.42%
|
|
Nanotechnology
21 publications, 1.36%
|
|
Journal of Alloys and Compounds
16 publications, 1.03%
|
|
Applied Physics Letters
15 publications, 0.97%
|
|
Journal of Physical Chemistry Letters
15 publications, 0.97%
|
|
MRS Proceedings
15 publications, 0.97%
|
|
Materials Chemistry and Physics
15 publications, 0.97%
|
|
Optical Materials
14 publications, 0.9%
|
|
Journal of Materials Science: Materials in Electronics
14 publications, 0.9%
|
|
Journal of Colloid and Interface Science
13 publications, 0.84%
|
|
Chemical Reviews
13 publications, 0.84%
|
|
Journal of Physics Condensed Matter
13 publications, 0.84%
|
|
Physica B: Condensed Matter
12 publications, 0.78%
|
|
Journal of Materials Chemistry A
11 publications, 0.71%
|
|
Langmuir
10 publications, 0.65%
|
|
Journal of Photochemistry and Photobiology A: Chemistry
10 publications, 0.65%
|
|
Applied Surface Science
10 publications, 0.65%
|
|
Berichte der Bunsengesellschaft für physikalische Chemie
10 publications, 0.65%
|
|
10
20
30
40
50
60
70
80
|
Citations by publishers
50
100
150
200
250
300
350
400
|
|
Elsevier
377 publications, 24.37%
|
|
American Chemical Society (ACS)
288 publications, 18.62%
|
|
Springer Nature
144 publications, 9.31%
|
|
Wiley
124 publications, 8.02%
|
|
American Institute of Physics (AIP)
96 publications, 6.21%
|
|
American Physical Society (APS)
86 publications, 5.56%
|
|
Royal Society of Chemistry (RSC)
84 publications, 5.43%
|
|
IOP Publishing
67 publications, 4.33%
|
|
Taylor & Francis
26 publications, 1.68%
|
|
Multidisciplinary Digital Publishing Institute (MDPI)
16 publications, 1.03%
|
|
Materials Research Society
15 publications, 0.97%
|
|
Pleiades Publishing
12 publications, 0.78%
|
|
Cambridge University Press
10 publications, 0.65%
|
|
World Scientific
9 publications, 0.58%
|
|
IEEE
8 publications, 0.52%
|
|
Trans Tech Publications
8 publications, 0.52%
|
|
EDP Sciences
6 publications, 0.39%
|
|
SAGE
5 publications, 0.32%
|
|
Optical Society of America
5 publications, 0.32%
|
|
Hindawi Limited
5 publications, 0.32%
|
|
Annual Reviews
5 publications, 0.32%
|
|
American Vacuum Society
4 publications, 0.26%
|
|
American Association for the Advancement of Science (AAAS)
4 publications, 0.26%
|
|
The Electrochemical Society of Japan
3 publications, 0.19%
|
|
Japan Society of Applied Physics
3 publications, 0.19%
|
|
Autonomous Non-profit Organization Editorial Board of the journal Uspekhi Khimii
3 publications, 0.19%
|
|
National Academy of Sciences of Ukraine - Institute of Semiconductor Physics
3 publications, 0.19%
|
|
Scientific Research Publishing
3 publications, 0.19%
|
|
Walter de Gruyter
3 publications, 0.19%
|
|
50
100
150
200
250
300
350
400
|
- We do not take into account publications without a DOI.
- Statistics recalculated only for publications connected to researchers, organizations and labs registered on the platform.
- Statistics recalculated weekly.