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A '''biaxial nematic''' is a spatially homogeneous [[liquid crystal]] with three distinct optical axes. This is to be contrasted to a simple [[nematic]], which has a single preferred axis, around which the system is rotationally symmetric. The [[symmetry group]] of a biaxial nematic is <math>D_{2h}</math> i.e. that of a rectangular right parallelepiped, having 3 orthogonal <math>C_2</math> axes and three orthogonal mirror planes. In a frame co-aligned with optical axes the second rank [[order parameter]] [[tensor]] of a biaxial nematic has the form
:<math>
Q=
\begin{pmatrix}
-\frac{1}{2}S+T & 0 &0 \\
0 &-\frac{1}{2}S-T & 0 \\
0 & 0& S\\
\end{pmatrix}
</math>
 
where
 
<math>S</math> is the standard nematic scalar order parameter
 
<math>T</math> a measure of the biaxiality.
 
The first report of a thermotropic biaxial nematic appeared in 2004<ref>
{{cite journal
|last1=Madsen |first1=L. A.
|last2=Dingemans |first2=T. J.
|last3=Nakata |first3=M.
|last4=Samulski |first4=E. T.
|year=2004
|title=Thermotropic Biaxial Nematic Liquid Crystals
|journal=[[Physical Review Letters]]
|volume=92 |pages=145505
|doi=10.1103/PhysRevLett.92.145505 |pmid=15089552 |bibcode=2004PhRvL..92n5505M
|issue=14
}}</ref><ref>
{{cite journal
|last1=Prasad |first1=V.
|last2=Kang |first2=S.-Woong
|last3=Suresh |first3=K. A.
|last4=Joshi |first4=Leela
|last5=Wang |first5=Qingbing
|last6=Kumar |first6=Satyendra
|year=2005
|title=Thermotropic Uniaxial and Biaxial Nematic and Smectic Phases in Bent-Core Mesogens
|journal=[[Journal of the American Chemical Society]]
|volume=127 |pages=17224
|doi=10.1021/ja052769n
|issue=49
}}</ref> based on a [[boomerang]] shaped [[oxadiazole]] '''bent-core mesogen'''. The biaxial nematic phase for this particular compound only occurs at temperatures around 200 °C and is preceded by as yet unidentified [[smectic]] phases.
 
[[Image:Biaxialnematic.gif|center|Biaxial nematic boomerang liquid crystal]]
 
It is also found that this material can segregate into [[Chirality (chemistry)|chiral]] domains of opposite handedness.<ref>
{{cite journal
|last1=Görtz |first1=V.
|last2=Goodby |first2=J. W.
|year=2005
|title=Enantioselective segregation in achiral nematic liquid crystals
|journal=[[Chemical Communications]]
|pages=3262
|doi=10.1039/B503846D
|issue=26
}}</ref> For this to happen the boomerang shaped molecules adopt a helical superstructure.
 
In one azo bent-core mesogen a thermal transition is found from a uniaxial N<sub>u</sub> to a  biaxial nematic N<sub>b</sub> mesophase,<ref>
{{cite journal
|last1=Prasad |first1=V.
|last2=Kang |first2=S.-W.
|last3=Suresh |first3=K. A.
|last4=Joshi |first4=L.
|last5=Wang |first5=Q.
|last6=Kumar |first6=S.
|year=2005
|title=Thermotropic Uniaxial and Biaxial Nematic and Smectic Phases in Bent-Core Mesogens
|journal=[[Journal of the American Chemical Society]]
|volume=127 |pages=17224
|doi=10.1021/ja052769n
|issue=49
}}</ref> as predicted by theory and simulation.<ref>
{{cite journal
|last1=Bates |first1=M.
|last2=Luckhurst |first2=G.
|year=2005
|title=Biaxial nematic phases and V-shaped molecules: A Monte Carlo simulation study
|journal=[[Physical Review E]]
|volume=72 |pages=051702
|doi=10.1103/PhysRevE.72.051702
|bibcode = 2005PhRvE..72e1702B
|issue=5 }}</ref> This transition is observed on heating from the N<sub>u</sub> phase with [[Polarizing optical microscopy]] as a change in [[Schlieren texture]] and increased light transmittance and from [[x-ray diffraction]] as the splitting of the nematic reflection. The transition is a [[Phase transition|second order transition]] with low energy content and therefore not observed in [[differential scanning calorimetry]]. The positional order parameter for the uniaxial nematic phase is 0.75 to 1.5 times the mesogen length and for the biaxial nematic phase 2 to 3.3 times the mesogen length.
 
[[Image:Biaxialnematic2005.png|center|600px|Azo bent-core mesogen thermal transitions in °C: K 82.8 Sy 93.4 Sx 104.3 Sc 118.5 Nb 149 Nu 176.5 I]]
 
Another strategy towards biaxial nematics is the use of mixtures of classical rodlike mesogens and disklike [[discotic]] mesogens.  The biaxial nematic phase is expected to be located below the minimum in the rod-disk phase diagram. In one study<ref>
{{cite journal
|last1=Apreutesei |first1=D.
|last2=Mehl |first2=G. H.
|year=2006
|title=Completely miscible disc and rod shaped molecules in the nematic phase
|journal=[[Chemical Communications]]
|pages=609
|doi=10.1039/b512120e
|issue=6
}}</ref> a miscible system of rods and disks is actually found although the biaxial nematic phase remains elusive.
 
==See also==
* [[Chromonic]]
* [[Liquid crystal]]
* [[Liquid crystal display]]
* [[Liquid crystal polymer]]
* [[Lyotropic liquid crystal]]
* [[Plastic crystallinity]]
* [[Smart glass]]
* [[Thermochromics]]
 
== References ==
{{reflist}}
 
[[Category:Phases of matter]]
[[Category:Crystallography]]
[[Category:Liquid crystals]]

Latest revision as of 15:28, 22 January 2014

A biaxial nematic is a spatially homogeneous liquid crystal with three distinct optical axes. This is to be contrasted to a simple nematic, which has a single preferred axis, around which the system is rotationally symmetric. The symmetry group of a biaxial nematic is D2h i.e. that of a rectangular right parallelepiped, having 3 orthogonal C2 axes and three orthogonal mirror planes. In a frame co-aligned with optical axes the second rank order parameter tensor of a biaxial nematic has the form

Q=(12S+T00012ST000S)

where

S is the standard nematic scalar order parameter

T a measure of the biaxiality.

The first report of a thermotropic biaxial nematic appeared in 2004[1][2] based on a boomerang shaped oxadiazole bent-core mesogen. The biaxial nematic phase for this particular compound only occurs at temperatures around 200 °C and is preceded by as yet unidentified smectic phases.

Biaxial nematic boomerang liquid crystal
Biaxial nematic boomerang liquid crystal

It is also found that this material can segregate into chiral domains of opposite handedness.[3] For this to happen the boomerang shaped molecules adopt a helical superstructure.

In one azo bent-core mesogen a thermal transition is found from a uniaxial Nu to a biaxial nematic Nb mesophase,[4] as predicted by theory and simulation.[5] This transition is observed on heating from the Nu phase with Polarizing optical microscopy as a change in Schlieren texture and increased light transmittance and from x-ray diffraction as the splitting of the nematic reflection. The transition is a second order transition with low energy content and therefore not observed in differential scanning calorimetry. The positional order parameter for the uniaxial nematic phase is 0.75 to 1.5 times the mesogen length and for the biaxial nematic phase 2 to 3.3 times the mesogen length.

Azo bent-core mesogen thermal transitions in °C: K 82.8 Sy 93.4 Sx 104.3 Sc 118.5 Nb 149 Nu 176.5 I
Azo bent-core mesogen thermal transitions in °C: K 82.8 Sy 93.4 Sx 104.3 Sc 118.5 Nb 149 Nu 176.5 I

Another strategy towards biaxial nematics is the use of mixtures of classical rodlike mesogens and disklike discotic mesogens. The biaxial nematic phase is expected to be located below the minimum in the rod-disk phase diagram. In one study[6] a miscible system of rods and disks is actually found although the biaxial nematic phase remains elusive.

See also

References

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    The data offered is for normal info purposes only and isn't supposed to be personalised investment or monetary advice. Motley Fool Singapore contributor Stanley Lim would not personal shares in any corporations talked about. Singapore private home costs increased by 1.eight% within the fourth quarter of 2012, up from 0.6% within the earlier quarter. Resale prices of government-built HDB residences which are usually bought by Singaporeans, elevated by 2.5%, quarter on quarter, the quickest acquire in five quarters. And industrial property, prices are actually double the levels of three years ago. No withholding tax in the event you sell your property. All your local information regarding vital HDB policies, condominium launches, land growth, commercial property and more

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    In its statement, the singapore property listing - website link, government claimed that the majority citizens buying their first residence won't be hurt by the new measures. Some concessions can even be prolonged to chose teams of consumers, similar to married couples with a minimum of one Singaporean partner who are purchasing their second property so long as they intend to promote their first residential property. Lower the LTV limit on housing loans granted by monetary establishments regulated by MAS from 70% to 60% for property purchasers who are individuals with a number of outstanding housing loans on the time of the brand new housing purchase. Singapore Property Measures - 30 August 2010 The most popular seek for the number of bedrooms in Singapore is 4, followed by 2 and three. Lush Acres EC @ Sengkang

    Discover out more about real estate funding in the area, together with info on international funding incentives and property possession. Many Singaporeans have been investing in property across the causeway in recent years, attracted by comparatively low prices. However, those who need to exit their investments quickly are likely to face significant challenges when trying to sell their property – and could finally be stuck with a property they can't sell. Career improvement programmes, in-house valuation, auctions and administrative help, venture advertising and marketing, skilled talks and traisning are continuously planned for the sales associates to help them obtain better outcomes for his or her shoppers while at Knight Frank Singapore. No change Present Rules

    Extending the tax exemption would help. The exemption, which may be as a lot as $2 million per family, covers individuals who negotiate a principal reduction on their existing mortgage, sell their house short (i.e., for lower than the excellent loans), or take part in a foreclosure course of. An extension of theexemption would seem like a common-sense means to assist stabilize the housing market, but the political turmoil around the fiscal-cliff negotiations means widespread sense could not win out. Home Minority Chief Nancy Pelosi (D-Calif.) believes that the mortgage relief provision will be on the table during the grand-cut price talks, in response to communications director Nadeam Elshami. Buying or promoting of blue mild bulbs is unlawful.

    A vendor's stamp duty has been launched on industrial property for the primary time, at rates ranging from 5 per cent to 15 per cent. The Authorities might be trying to reassure the market that they aren't in opposition to foreigners and PRs investing in Singapore's property market. They imposed these measures because of extenuating components available in the market." The sale of new dual-key EC models will even be restricted to multi-generational households only. The models have two separate entrances, permitting grandparents, for example, to dwell separately. The vendor's stamp obligation takes effect right this moment and applies to industrial property and plots which might be offered inside three years of the date of buy. JLL named Best Performing Property Brand for second year running

    The data offered is for normal info purposes only and isn't supposed to be personalised investment or monetary advice. Motley Fool Singapore contributor Stanley Lim would not personal shares in any corporations talked about. Singapore private home costs increased by 1.eight% within the fourth quarter of 2012, up from 0.6% within the earlier quarter. Resale prices of government-built HDB residences which are usually bought by Singaporeans, elevated by 2.5%, quarter on quarter, the quickest acquire in five quarters. And industrial property, prices are actually double the levels of three years ago. No withholding tax in the event you sell your property. All your local information regarding vital HDB policies, condominium launches, land growth, commercial property and more

    There are various methods to go about discovering the precise property. Some local newspapers (together with the Straits Instances ) have categorised property sections and many local property brokers have websites. Now there are some specifics to consider when buying a 'new launch' rental. Intended use of the unit Every sale begins with 10 p.c low cost for finish of season sale; changes to 20 % discount storewide; follows by additional reduction of fiftyand ends with last discount of 70 % or extra. Typically there is even a warehouse sale or transferring out sale with huge mark-down of costs for stock clearance. Deborah Regulation from Expat Realtor shares her property market update, plus prime rental residences and houses at the moment available to lease Esparina EC @ Sengkang
  6. One of the biggest reasons investing in a Singapore new launch is an effective things is as a result of it is doable to be lent massive quantities of money at very low interest rates that you should utilize to purchase it. Then, if property values continue to go up, then you'll get a really high return on funding (ROI). Simply make sure you purchase one of the higher properties, reminiscent of the ones at Fernvale the Riverbank or any Singapore landed property Get Earnings by means of Renting

    In its statement, the singapore property listing - website link, government claimed that the majority citizens buying their first residence won't be hurt by the new measures. Some concessions can even be prolonged to chose teams of consumers, similar to married couples with a minimum of one Singaporean partner who are purchasing their second property so long as they intend to promote their first residential property. Lower the LTV limit on housing loans granted by monetary establishments regulated by MAS from 70% to 60% for property purchasers who are individuals with a number of outstanding housing loans on the time of the brand new housing purchase. Singapore Property Measures - 30 August 2010 The most popular seek for the number of bedrooms in Singapore is 4, followed by 2 and three. Lush Acres EC @ Sengkang

    Discover out more about real estate funding in the area, together with info on international funding incentives and property possession. Many Singaporeans have been investing in property across the causeway in recent years, attracted by comparatively low prices. However, those who need to exit their investments quickly are likely to face significant challenges when trying to sell their property – and could finally be stuck with a property they can't sell. Career improvement programmes, in-house valuation, auctions and administrative help, venture advertising and marketing, skilled talks and traisning are continuously planned for the sales associates to help them obtain better outcomes for his or her shoppers while at Knight Frank Singapore. No change Present Rules

    Extending the tax exemption would help. The exemption, which may be as a lot as $2 million per family, covers individuals who negotiate a principal reduction on their existing mortgage, sell their house short (i.e., for lower than the excellent loans), or take part in a foreclosure course of. An extension of theexemption would seem like a common-sense means to assist stabilize the housing market, but the political turmoil around the fiscal-cliff negotiations means widespread sense could not win out. Home Minority Chief Nancy Pelosi (D-Calif.) believes that the mortgage relief provision will be on the table during the grand-cut price talks, in response to communications director Nadeam Elshami. Buying or promoting of blue mild bulbs is unlawful.

    A vendor's stamp duty has been launched on industrial property for the primary time, at rates ranging from 5 per cent to 15 per cent. The Authorities might be trying to reassure the market that they aren't in opposition to foreigners and PRs investing in Singapore's property market. They imposed these measures because of extenuating components available in the market." The sale of new dual-key EC models will even be restricted to multi-generational households only. The models have two separate entrances, permitting grandparents, for example, to dwell separately. The vendor's stamp obligation takes effect right this moment and applies to industrial property and plots which might be offered inside three years of the date of buy. JLL named Best Performing Property Brand for second year running

    The data offered is for normal info purposes only and isn't supposed to be personalised investment or monetary advice. Motley Fool Singapore contributor Stanley Lim would not personal shares in any corporations talked about. Singapore private home costs increased by 1.eight% within the fourth quarter of 2012, up from 0.6% within the earlier quarter. Resale prices of government-built HDB residences which are usually bought by Singaporeans, elevated by 2.5%, quarter on quarter, the quickest acquire in five quarters. And industrial property, prices are actually double the levels of three years ago. No withholding tax in the event you sell your property. All your local information regarding vital HDB policies, condominium launches, land growth, commercial property and more

    There are various methods to go about discovering the precise property. Some local newspapers (together with the Straits Instances ) have categorised property sections and many local property brokers have websites. Now there are some specifics to consider when buying a 'new launch' rental. Intended use of the unit Every sale begins with 10 p.c low cost for finish of season sale; changes to 20 % discount storewide; follows by additional reduction of fiftyand ends with last discount of 70 % or extra. Typically there is even a warehouse sale or transferring out sale with huge mark-down of costs for stock clearance. Deborah Regulation from Expat Realtor shares her property market update, plus prime rental residences and houses at the moment available to lease Esparina EC @ Sengkang