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Quantum chemistry ab initio and semi-empirical calculations
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Fa-Gung Fan For discussions with Prof. Damian Allis of Syracuse University and Prof. Goodarz Ahmadi of Clarkson University (2/16/2010)
Electronic Structures and UV/Visible Absorption
Spectra of Organic Compounds
Fa-Gung Fan2/5/2010
Fa-Gung Fan For discussions with Prof. Damian Allis of Syracuse University and Prof. Goodarz Ahmadi of Clarkson University (2/16/2010)
[1] In modeling CNT field emission and electron-mol ecule collision cross section. Slides 44-51 and 66-68 of 2/6/2007 ME&IL Seminar pr esented some of the earlier calculations.
• Building upon the previous experience on quantum chemistry ab inito and semi-empirical calculations [1], here I would like to demonstrate our ability to mod el and predict the absorption spectra of solar cell materials.
• I computed the electronic structures and the UV/visible spectra of several organic compounds. The results are shown in this set of slides.
• Among the compounds studied, the NKX dyes and the several electron donor-acceptor structures are of high interest to solar cell development.
Fa-Gung Fan For discussions with Prof. Damian Allis of Syracuse University and Prof. Goodarz Ahmadi of Clarkson University (2/16/2010)
Compounds StudiedCoumarin derivative dyes:
Flavone
Grey – CWhite – HRed – OBlue – NYellow - S
NKX-2311 (s-trans) NKX-2586 (s-trans)
Fa-Gung Fan For discussions with Prof. Damian Allis of Syracuse University and Prof. Goodarz Ahmadi of Clarkson University (2/16/2010)
TPA-BTD donor-acceptor system
Pentacene-fullerene donor-acceptor system
Fa-Gung Fan For discussions with Prof. Damian Allis of Syracuse University and Prof. Goodarz Ahmadi of Clarkson University (2/16/2010)
Note: The LUMO-HOMO gap can only be a very crude approximation to the actual energy gap. I think the LUMO-HOMO gap o verestimates the actual excitation energy.
I first calculated the ground state electronic structures of these compounds, next examined their MOs and the LUMO-HOMO energy gaps, and finally computed the UV/visible absorption spectra.
Fa-Gung Fan For discussions with Prof. Damian Allis of Syracuse University and Prof. Goodarz Ahmadi of Clarkson University (2/16/2010)
Modeling Methods UsedGeneral procedure for ab initio calculation [2]:1. Molecular geometry optimization using DFT method with B3LYP XC functional
on a relatively small basis set. e.g. 3-21G, 6-31G.2. Energy/MO calculation by the DFT method on a larger basis set. e.g., 6-31(d),
6-31(d,p), … 6-311+G(d,p)3. Excited state calculation by TD-DFT method, taking into account the solvent
effect (by PCM model), on the basis set used for the energy/MO calculation.4. UV/vis spectrum evaluation by Gaussian convolution.
Procedure for semi-empirical calculation:1. Molecular geometry optimization using PM3 semi-empirical method.2. Energy/MO calculation by PM3 method.3. Excited state calculation by semi-empirical ZINDO/S model and CI method with
solvent effect included (by SCRF Onsager model).4. UV/vis spectrum evaluation by Gaussian convolution.
[2] Some in the field do not regard Density Functio nal Theory (DFT) an ab initiomethod, while many other researchers in the same fi eld refer the method ab inito. Here, we use the latter point of view.
Fa-Gung Fan For discussions with Prof. Damian Allis of Syracuse University and Prof. Goodarz Ahmadi of Clarkson University (2/16/2010)
For the results presented in the following, the calculations were based on the ab initio method except for the last case (pentacene-fullerene), which was based on the semi-empirical method.
Fa-Gung Fan For discussions with Prof. Damian Allis of Syracuse University and Prof. Goodarz Ahmadi of Clarkson University (2/16/2010)
NKX-2311 Dye
LUMO - HOMO = 2.8 eV
UV/vis Spectrum of NKX-2311 Dye in Ethanol
0.0E+00
2.0E+04
4.0E+04
6.0E+04
8.0E+04
1.0E+05
1.2E+05
300 350 400 450 500 550 600 650 700 750 800
wavelength (nm)
Abs
orba
nce,
L/(m
ol-c
m)
HOMO LUMO
Fa-Gung Fan For discussions with Prof. Damian Allis of Syracuse University and Prof. Goodarz Ahmadi of Clarkson University (2/16/2010)
NKX-2586 Dye
LUMO - HOMO = 2.6 eV
UV/vis Spectrum of NKX-2586 Dye in Ethanol
0.0E+00
2.0E+04
4.0E+04
6.0E+04
8.0E+04
1.0E+05
1.2E+05
1.4E+05
300 350 400 450 500 550 600 650 700 750 800
wavelength (nm)
Abs
orba
nce,
L/(
mol
-cm
)
HOMO LUMO
Fa-Gung Fan For discussions with Prof. Damian Allis of Syracuse University and Prof. Goodarz Ahmadi of Clarkson University (2/16/2010)
Flavone
LUMO - HOMO = 4.5 eV
UV/vis Spectrum of Flavone in Methanol
0
10000
20000
30000
40000
50000
60000
200 250 300 350 400
wavelength (nm)
Abs
orba
nce,
L/(m
ol-c
m)
HOMO LUMO
Fa-Gung Fan For discussions with Prof. Damian Allis of Syracuse University and Prof. Goodarz Ahmadi of Clarkson University (2/16/2010)
TPA-BTD donor -acceptorLUMO - HOMO = 1.86 eV
Notice the intramolecularcharge transfer
UV/Vis Spectrum of TPA-BTD in Dichloromethane (CH2C l2)
0.00E+00
2.00E+04
4.00E+04
6.00E+04
8.00E+04
1.00E+05
200 250 300 350 400 450 500 550 600 650 700 750 800
Wavelength (nm)
Abs
orba
nce,
L/(
mol
-cm
)
HOMO LUMO
Fa-Gung Fan For discussions with Prof. Damian Allis of Syracuse University and Prof. Goodarz Ahmadi of Clarkson University (2/16/2010)
Pentacene -fullerene donor -acceptorPM3 semi-empirical
LUMO - HOMO = 6.25 eV
HOMO LUMO
HOMO LUMOHOMO LUMO
Notice the intramolecularcharge transfer
UV/vis Spectrum of Pentacene-Fullerene
0100200300400500600700800900
300 350 400 450 500 550 600 650 700 750 800 850 900
wavelength (nm)
Abs
orba
nce,
L/(
mol
-cm
)
(This spectrum is pentacene-fullerence in gas phase, not in solution.)
Fa-Gung Fan For discussions with Prof. Damian Allis of Syracuse University and Prof. Goodarz Ahmadi of Clarkson University (2/16/2010)
• I compared the spectra of NKX-2311, NKX-2586, Flavone, and TPA-BTD with published calculations of others (below), and found the agreements were quite good.Zhang et al., J. Photochemistry and Photobiology A: Chemistry, 194, pp.167-172 (2008)Seijas et al., 10th International Electronic Conference on Synthetic Organic Chemistry, 2006 http://www.usc.es/congresos/ecsoc/10/CC/g012/index.htmHe et al., Thin Solid Film, 516, pp. 5935-5940 (2008)
• The model can be used in selecting and fine-tuning materials for solar cells to maximize sunlight absorption.
Summary Notes
Fa-Gung Fan For discussions with Prof. Damian Allis of Syracuse University and Prof. Goodarz Ahmadi of Clarkson University (2/16/2010)
• We can examine the frontier orbitals for better pictures of the transitions. The following shows those of NKX-2311.
HOMO-3(-0.2716 Ha)
HOMO-2(-0.2453 Ha)
HOMO-1(-0.2371 Ha)
HOMO(-0.1967 Ha)
LUMO(-0.0931 Ha)
LUMO+1(-0.0469 Ha)
LUMO+2(-0.0138 Ha)
LUMO+3(0.0046 Ha)