C h a p t e r 14
First Nematic Calamitic Liquid Crystals with Negative Birefringence Downloaded by UNIV MASSACHUSETTS AMHERST on September 17, 2012 | http://pubs.acs.org Publication Date: November 2, 2001 | doi: 10.1021/bk-2001-0798.ch014
Volker Reiffenrath and Matthias Bremer
Liquid Crystals Division, Merck KGaA, D-64271 Darmstadt, Germany
The combination of aliphatic core structures with lateral highly polarizable groups leads to nematic materials with very l o w or even negative birefringence.
L i q u i d crystalline behavior can be observed i n certain, anisotropically shaped organic compounds. " A liquid crystal can flow like a liquid, but m a y posses other properties, ' such as birefringence, which is normally characteristic o f solid crystals, a prime example being rhombohedral calcite, C a C 0 . Without the birefringence o f the liquid crystal, there w o u l d be no optical response to an applied voltage i n the twisted nematic ( T N ) mode o f a liquid crystal display ( L C D ) . A uniaxial liquid crystal has two principal refractive indices. The ordinary ray n is defined as the light wave with the electric field perpendicular to the optical axis, whereas the extraordinary index n is observed for linearly polarized light with the electric field parallel to the optical axis. In nematic liquid crystals the optical axis is given b y the director w h i c h ideally coincides with the long molecular axis. In nematic l i q u i d crystals k n o w n so far the birefringence (An = n\\ - wj_ = H - n ) is always positive with a range o f about +0.02 to +0.40. W e n o w report the first examples o f nematic, calamitic liquid crystals with extremely small and even negative birefringence. ' 1
3
4 5
3
6
Q
e
C
0
1
7 8
The birefringence is related to the anisotropy o f the molecular polarizability Aa = q - a through the V u k s equation ( l a and l b ) where S is the Saupe orientational order parameter, €o the static dielectric constant and Ν the number o f molecules per unit volume. 9
(
±
(la)
© 2002 American C h e m i c a l Society
In Anisotropic Organic Materials; Glaser, R., et al.; ACS Symposium Series; American Chemical Society: Washington, DC, 2001.
195
196 n i - I
AaS
Ν a
2
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η
+ 2
(lb)
3
3ε
0
Since a can be calculated for isolated molecules with a quantum chemical method one can speculate what k i n d o f molecular structure w o u l d lead to small or negative values o f An. In order to derive anisotropic quantities from the calculation, the molecules are oriented so that the smallest molecular moment o f inertia coincides with the χ axis and the larger moments o f inertia with the y and ζ axes, respectively. The molecules are considered to be cylindrically symmetric, i.e. the long molecular axis ideally coincides with the x-axis and the perpendicular components o f the polarizability tensor are averaged. ' G i v e n the fact that nematic liquid crystals are rod-like molecules with a length to breadth ratio o f typically 3 or larger, implying larger polarizability along the long axis, it is not surprising that An is greater than zero. One obvious way o f lowering An is the introduction o f small lateral, highly polarizable groups to a cylindrical core o f l o w refractive power. 10
11
Figure 1. Strategy to achieve negative birefringence
in calamitic
materials
This led to the synthesis o f bicyclohexanes with axial acetylenic substituents starting from axial cyanobicyclohexanes or bicyclohexanones as outlined i n Scheme 1; mesophases and extrapolated ("virtual") clearing points and birefringence are given i n Table I together with calculated ( A M I ) optical anisotropics. 12
13
1 4
In Anisotropic Organic Materials; Glaser, R., et al.; ACS Symposium Series; American Chemical Society: Washington, DC, 2001.
197
R'
A=CH A=CN
Downloaded by UNIV MASSACHUSETTS AMHERST on September 17, 2012 | http://pubs.acs.org Publication Date: November 2, 2001 | doi: 10.1021/bk-2001-0798.ch014
3
OR'
OH
Scheme 1. Synthesis o f axial alkynylbicyclohexanes. a) 1. D I B A L , Toluene, 25-50 ° C ; 2. H 0 (90%). b) Methyltriphenylphosphoniumbromide, K O t B u , T H F , 0 °C (90%). c) 1. B r , E t 0 , -10 to 0 °C; 2. E t N , R T (65%); 3. K O t B u , t B u O H , 60 °C (30%). d) A = C H : 1. B u L i , T H F , -70 °C; 2. M e l , -70 °C to R T (70%). A = C N : 1. B u L i , T H F , 70 ° C ; 2. T s C N , -70 °C to R T (70%). e) 1. Trimethylsilylacetylene, B u N F 3 H 0 , T H F , -30 ° C ; 2. K F , M e O H , R T (47%). f) 1. B u L i , T H F , -30 °C to -5 ° C ; 2. R ' I , D M S O , -5 °C to R T (73%). +
3
2
2
3
3
4
2
Table L Properties of axially substituted alkynylcyclohexanes Entry
Structure
Phases
Virtual Clp.
Virtual Δη
Δη (cale)
C 16N35I
21
0.038
0.026
C35N35I
5
0.034
0.020
C45I
-122
0.033
0.028
C55I
-49
0.026
0.004
1 1 C
H
5 11
( 2
1ι
3
C
H
5 11
3
1 s
o'
C H 3
( 4
1I C
H
5 11
In Anisotropic Organic Materials; Glaser, R., et al.; ACS Symposium Series; American Chemical Society: Washington, DC, 2001.
198
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Note that the calculated values are a l l too small, especially so for the cyanoacetylene 4. One possible explanation lies i n the order parameter S. F o r the calculation a constant value o f 0.7 is assumed, perhaps an oversimplification for compounds 1-4, where S may vary strongly, depending on the lateral perturbation. Furthermore, the standard orientation used for the calculation might not be v a l i d for molecules like 1-4 w h i c h significantly deviate from a cylindrical shape. Figure 2 shows the standard orientation for the saturated bicyclohexane 5, as a reference, and its alkynyl derivatives 6 and 7. The calculated birefringence for the reference compound 5 (0.044) is i n excellent agreement w i t h the extrapolated experimental value (0.043). However, the values o f Table I indicate that, for 1-4 and 6 and 7, using the moments o f inertia to define anisotropies is too crude an approximation to the behavior found i n the condensed phase, where the long molecular axes must be tilted much stronger with respect to the macroscopic director.
Figure 2. Orientation of anisotropies.
of LC molecules with the moments of inertia for the
The z-axis is not shown
definition
explicitly.
A relatively simple way to render the overall molecular shape more symmetrical and thus avoid a tilt o f the molecules i n the nematic phase is shown i n Scheme 2 and Table II. One obtains liquid crystals 8 and 9 with high virtual clearing temperatures, although smectic phases are still present.
In Anisotropic Organic Materials; Glaser, R., et al.; ACS Symposium Series; American Chemical Society: Washington, DC, 2001.
199
R
Y ^ ^ R -
Downloaded by UNIV MASSACHUSETTS AMHERST on September 17, 2012 | http://pubs.acs.org Publication Date: November 2, 2001 | doi: 10.1021/bk-2001-0798.ch014
OH
Scheme 2. Synthesis of bis(bicyclohexyl)acetylenes. a) 1. BuLi, THF, -70 °C; 2. Add 4-alkyl[bi]cyclohexanone, THF, -70 °C. b) 1. BuLi, THF, -30 °C to -5 °C; 2. R"'I, DMSO, -5 °C to RT (25%). c) 4-alkylcyclohexylcarbonylchloride, CH C1 , pyridine, 0 °C to RT (40%). 2
2
Table II. Properties of unsymmetrical bis(bicyclohexyl)acetylenes Entry
8
Structure
Phases
Virtual Clp.
Virtual Δ η
II
C104S (103)N130I
136
0.029
C 6 6 S 1711
152
0.036
B
9
B
C H„ ^ ^ Λ 5
ο
- ^ Α ^ 0
3
Η
7
15
The acetylenes of types 1 and 3 can be coupled oxidatively to yield symmetrical, and unsymmetrical dimers. These are readily separated by chromatography and the alkoxy-/alkylderivatives 10-16 of Table III now show pure (albeit monotropic) nematic phases. In these materials the extrapolated birefringence is around zero or slightly below.
In Anisotropic Organic Materials; Glaser, R., et al.; ACS Symposium Series; American Chemical Society: Washington, DC, 2001.
200
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Table III. Properties of symmetrical bis(bicyclohexyl)butadiynes
R
Entry R 10 C H 11 C5H11 12 C7H15 13 CH 0 14 C H 3 O 15 C 2 H 5 O 16 C 2 H 5 O 3
R'
Phases C 151 S 1681 C77S 1981 C61 SB208I C121 Ν (80)I C117 Ν ( 8 7 ) I C 143 Ν ( 1 1 7 ) I C 126 Ν (120)I
C3H7
7
Virtual Clp.
B
C5H11
B
C4H9
C3H7
3
10-16
C5H1, C3H7
CsHu
Virtual Δη
—
—
178 154
-0.004 -0.003
103
0.001
— —
—
— —
—
Table IV. Properties of unsymmetrical bis(bicyclohexyl)butadiynes
Entry 17 18 19 20 21 22 23
R
R'
R"
CH3O CH3O CH3O CH3O C H 0 C H 0 C H 0
C H C H C5H11
C5H11
C5H11
C4H9
C7H14
C4H9
C7H14
3
7
C5H11
3
7
C4H9
C7H14
C H
C,H
3
2
5
C H
2
5
C5H11 C H
2
5
C5H11
3
7
3
7
7
C4H9
C H 3
Phases
Virtual Clp.
C 76 Ν 135 I C 1 0 0 S (63) Ν 128 I C 105 Ν 125 I C90N129I C78 S 134N145I C99 S H 7 N 1 4 2 I C 6 6 S 1 3 5 Ν 1441
116 105 99 110 126 123 130
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