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Synthesis of a Fluoreno[2,3b]fluorene Derivative to
Experimentally Verify Extraordinary
Optical Properties of
Indenofluorenes
Tobe Lab.
Masahito Miki
1
Contents
• Introduction
Singlet biradicals
Resonance structures
Quinodimethanes
• Previous work
Comparision of UV-vis-NIR spectra
p-conjugation space and absorption wave length
New Principle for Low Energy Absorption
Nonalternant hydrocarbons
Excitation energy of biradical compounds
• My work
2
Singlet Biradicals
HOMO and LUMO of biradicaloids
閉殻
closed shell
LUMO
一重項ビラジカル
singlet biradical
開殻
open shell
y=1
HOMO
0<y<1
Fabian, J. et al. Angew. Chem. Int. Ed. 1989, 28, 677.
y=0
biradical character : y
 1
2T
1 T 2
nHOMO  nLUMO 

T 

2


nHOMO, nLUMO; occupation numbers of HOMO or LUMO UHF/6-31G*//UB3LYP/6-31G* and Yamaguchi
scheme
Yamaguchi, K. Chem. Phys. Lett. 1975, 33, 330.
3
Resonance Structures
benzene
Unimportant contributor
Energy loss for breaking pbond
(272 kJ / mol)
Important contributor
Closed shell
閉殻構造
・All electrons are used to bonds.
・closed-shell
Open shell
開殻構造
Aromatic stabilization energy
芳香族安定化エネルギー
(about 90 kJ / mol)
・A bond is broken
・open-shell
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Quinodimethanes (QDM)
p-quinodimethane
o-quinodimethane
速度論的安定化
Kinetic
stabilization
Kubo, T. et al. Angew. Chem.
Int. Ed. 2005, 44, 6564.
Chase, D. T. et al. Angew. Chem.
Int. Ed. 2011, 50, 11103.
熱力学的安定化
thermodynamical
stabilization
Shimizu, A.; Tobe, Y. Angew. Chem.
Int. Ed. 2011, 50, 6906.
5
Previous Work
1700nm
m-quinodimethane
UV-vis-NIR absorption
spectra of 1b in CH2Cl2.
Tobe, Y. et al. Angew. Chem. Int. Ed. 2013,
52, 6076.
DES-T = -17.6 kJ/mol
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Comparision of UV-vis-NIR Spectra
UV-vis-NIR absorption spectra of a below
compound in CH2Cl2.
UV-vis-NIR absorption spectra of 1b in CH2Cl2.
Tobe, Y. et al. Angew. Chem. Int. Ed.
2013, 52, 6076.
Tobe, Y. et al. Angew. Chem. Int. Ed.
2011, 50, 6906.
1b
A derivertive of Indeno[2,1-a]fluorene
7
p-Conjugation Space and Absorption
Wave Length
acenes
Anthony, J. E. et al. Angew. Chem. Int. Ed. 2008, 47, 452.
Larger p-conjugation space
Lower absorption energy
8
New Principle for Low Energy Absorption
1. Moderate singlet biradical character
2. Nonalternant hydrocarbon
3. Smaller p-conjugation space
Lower absorption energy
1a
HOMO−LUMO Energy Gap
Singlet Biradical Character
Nakano.M (unpublished)
2a
: 1a > 2a
: 1a < 2a
Transition Energy (Prediction) : 1a < 2a
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Nonalternant Hydrocarbons
Alternant hydrocarbon
naphthalene
Nonalternant hydrocarbon
azulene
LUMO
HOMO
Michl, J. et al. Tetrahedron 1976, 32, 205.
10
Excitation Energy of Biradical Compounds
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6
E
f (y)
𝑈 𝑓𝐸 (𝑦
𝑈
𝑓𝐸 (𝑦
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𝛥𝐸𝑎𝑏 =
− 2𝐾:𝑎𝑏𝛥𝐸𝑎𝑏 =
− 2𝐾𝑎𝑏
Transition
Energy
2
2
4
𝑓𝐸 𝑦 = 1 +
1
y=1−
3
1
2
1− 1−𝑦
2
1
0
0.2
𝑈
1+
2 𝜀𝐻𝐿
0.4
0.6
0.8
2
1
y
U
Effective Coulombic
Repulsion Energy
↘
• Smaller HOMO-LUMO overlap
• Larger
Biradical
Factor
(y)
Moderate
biradical
character
fE(y) Function of Biradical
Factor (y)
↘
Kab
Exchange Integral
↗
• Larger Space Separation between HOMO-LUMO
• Smaller pi-System
↗
• Increasing U (larger HOMO-LUMO overlap)
• Decreasing ɛHL
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y
Biradical Factor
Excitation Energy of Biradical Compounds
First Transition Energy : 𝛥𝐸𝑎𝑏
Kab
Exchange Integral
JHHM, Coulombic Integral
JLLM in HOMO or LUMO
JHLM
Coulombic Integral
between HOMO and
LUMO
↗
↗
↘
𝑈 𝑓𝐸 (𝑦
=
− 2𝐾𝑎𝑏
2
• Nonalternant hydrocarbon
• Smaller pi-System
• Smaller pi-System
• Nonalternant hydrocarbon
• Larger Space Separation between HOMO-LUMO
1
Kab = 𝐽𝐻𝐻𝑀 + 𝐽𝐿𝐿𝑀 − 2𝐽𝐻𝐿𝑀
4
JHHM, JLLM : Coulombic Integral in HOMO or LUMO
JHLM: Coulombic Integral between HOMO and LUMO
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Nonalternant Hydrocarbons
Alternant hydrocarbon
naphthalene
Nonalternant hydrocarbon
azulene
LUMO
HOMO
Michl, J. et al. Tetrahedron 1976, 32, 205.
13
Excitation Energy of Biradical Compounds
First Transition Energy : 𝛥𝐸𝑎𝑏
Kab
Exchange Integral
JHHM, Coulombic Integral
JLLM in HOMO or LUMO
JHLM
Coulombic Integral
between HOMO and
LUMO
↗
↗
↘
𝑈 𝑓𝐸 (𝑦
=
− 2𝐾𝑎𝑏
2
• Nonalternant hydrocarbon
• Smaller pi-System
• Smaller pi-System
• Nonalternant hydrocarbon
• Larger Space Separation between HOMO-LUMO
1
Kab = 𝐽𝐻𝐻𝑀 + 𝐽𝐿𝐿𝑀 − 2𝐽𝐻𝐿𝑀
4
JHHM, JLLM : Coulombic Integral in HOMO or LUMO
JHLM: Coulombic Integral between HOMO and LUMO
14
New Principle for Low Energy Absorption
1. Moderate singlet biradical character
2. Nonalternant hydrocarbon
3. Smaller p-conjugation space
Lower absorption energy
1a
HOMO−LUMO Energy Gap
Singlet Biradical Character
Nakano.M (unpublished)
2b
2a
: 1a > 2a
: 1a < 2a
Transition Energy (Prediction) : 1a < 2a
15
Synthetic Scheme of 2b
† 平野慎太朗、大阪大学基礎工学部化学応用科学科、学士学位論文 (2013).
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conclusion
• Biradicaloids have intermediate nature between the
nature of two structure which are a closed-shell and
open-shell.
• Indeno[2,1-b]fluorene has a extraordinary optical
property.
• Nonalternant hydrocarbons which have moderate
singlet biradical character can have the extraordinary
optical property.
• Synthesis of fluoreno[2,3-b]fluorene is undergone.
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