US20170088776A1 - Liquid crystal medium and electrooptical display containing same - Google Patents

Abstract

The present invention relates to nematic liquid-crystal media of negative dielectric anisotropy which have a peak time (t_max.) of 0.25 ms or less, which is determined as described in the disclosure, and which preferably have a value of the quotient of the peak time and the square of the birefringence (t_max/Δn²) of 22 ms or less, and to the use of these liquid-crystal media in liquid-crystal displays, and to these liquid-crystal displays.

Description

• The present invention relates to liquid-crystal media and to the use thereof in liquid-crystal displays, and to these liquid-crystal displays, particularly liquid-crystal displays which use the ECB (electrically controlled birefringence) effect with dielectrically negative liquid crystals in a homeotropic starting alignment. The liquid-crystal media according to the invention are distinguished by a particularly low response time in the displays according to the invention at the same time as a high voltage holding ratio.
• Displays which use the ECB effect have become established as so-called VAN (vertically aligned nematic) displays in the MVA (multi-domain vertical alignment, for example: Yoshide, H. et al., Paper 3.1: “MVA LCD for Notebook or Mobile PCs . . . ”, SID 2004 International Symposium, Digest of Technical Papers, XXXV, Book I, pp. 6 to 9 and Liu, C. T. et al., Paper 15.1: “A 46-inch TFT-LCD HDTV Technology . . . ”, SID 2004 International Symposium, Digest of Technical Papers, XXXV, Book II, pp. 750 to 753) and PVA (patterned vertical alignment, for example: Kim, Sang Soo, Paper 15.4: “Super PVA Sets New State-of-the-Art for LCD-TV”, SID 2004 International Symposium, Digest of Technical Papers, XXXV, Book II, pp. 760 to 763) designs besides ASV (advanced super view, for example: Shigeta, Mitzuhiro and Fukuoka, Hirofumi, Paper 15.2: “Development of High Quality LCDTV”, SID 2004 International Symposium, Digest of Technical Papers, XXXV, Book II, pp. 754 to 757) displays and IPS (in plane switching) displays (for example: Yeo, S. D., Paper 15.3: “A LC Display for the TV Application”, SID 2004 International Symposium, Digest of Technical Papers, XXXV, Book II, pp. 758 & 759), besides the long-known displays, as one of the three more recent types of liquid-crystal display that are currently the most important besides TN (twisted nematic) displays, in particular for television applications. In general form, the technologies are compared, for example, in Souk, Jun, SID Seminar 2004, Seminar M-6: “Recent Advances in LCD Technology”, Seminar Lecture Notes, M-6/1 to M-6/26 and Miller, Ian, SID Seminar 2004, Seminar M-7: “LCD-Television”, Seminar Lecture Notes, M-7/1 to M-7/32. Although the response times of modern ECB displays have already been significantly improved by addressing methods with overdrive, for example: Kim, Hyeon Kyeong et al., paper 9.1: “A 57-in. Wide UXGA TFT-LCD for HDTV Application”, SID 2004 International Symposium, Digest of Technical Papers, XXXV, Book I, pp. 106 to 109, the achievement of video-compatible response times, in particular for the switching of grey shades, is still a problem which has not yet been solved to a satisfactory extent.
• ECB displays, like ASV displays, use liquid-crystalline media of negative dielectric anisotropy (Δ∈), whereas TN and to date all conventional IPS displays use liquid-crystalline media of positive dielectric anisotropy.
• In liquid-crystal displays of this type, the liquid crystals are used as dielectrics, whose optical properties change reversibly on application of an electric voltage.
• Since in displays in general, i.e. also in displays in accordance with these mentioned effects, the operating voltage should be as low as possible, use is made of liquid-crystal media which are generally predominantly composed of liquid-crystal compounds, all of which have the same sign of the dielectric anisotropy and have the greatest possible value of the dielectric anisotropy. In general, at most relatively small proportions of neutral compounds and if possible no compounds having the opposite sign of the dielectric anisotropy to the medium are employed. In the case of liquid-crystal media of negative dielectric anisotropy for ECB displays, predominantly compounds of negative dielectric anisotropy are thus employed. The liquid-crystal media employed generally consist predominantly and usually even essentially of liquid-crystal compounds of negative dielectric anisotropy.
• In the media used in accordance with the present application, at most significant amounts of dielectrically neutral liquid-crystal compounds and generally only very small amounts or even no dielectrically positive compounds are typically employed, since in general the liquid-crystal displays are intended to have the lowest possible addressing voltages.
• The liquid-crystal media of the prior art having correspondingly low addressing voltages have relatively low electrical resistances or a low voltage holding ratio and result in undesirably high power consumptions in the displays.
• In addition, the addressing voltage of the displays of the prior art is often too great, in particular for displays which are not connected directly or not continuously to the power supply network, such as, for example, displays for mobile applications.
• In addition, the phase range must be sufficiently broad for the intended application.
• In particular, the response times of the liquid-crystal media in the displays must be improved, i.e. reduced. This is particularly important for displays for television or multimedia applications. In order to improve the response times, it has repeatedly been proposed in the past to optimise the rotational viscosity of the liquid-crystal media (γ₁), i.e. to achieve media having the lowest possible rotational viscosity. However, the results achieved here are inadequate for many applications and therefore make it appear desirable to find further optimisation approaches.
• There is therefore a great demand for liquid-crystal media which do not have the disadvantages of the media from the prior art, or at least do so to a significantly reduced extent.
• Surprisingly, it has been found that it has been possible to achieve liquid-crystal displays which have a short response time in ECB displays and at the same time have a sufficiently broad nematic phase, favourable birefringence (Δn) and a high voltage holding ratio.
• In accordance with the present invention, the short response time of the displays is preferably achieved by using liquid-crystal media according to the invention which have a low value of 0.25 ms or less for the peak times (t_max) calculated by the method explained below.
• The quotient of the peak time and the square of the birefringence of the liquid-crystal mixture (t_max/Δn²) of the liquid-crystal media according to the invention is preferably 22 ms or less. This quotient (t_max/Δn²), which takes into account the effect of the optimum layer thickness of the liquid-crystal displays, is proportional to the response time of the liquid-crystal mixtures in the corresponding displays.
• For the purposes of the present invention, the peak time (t_max) is the time which passes before current flowing through the cell after application of a short, high voltage pulse to a cell filled with liquid crystal passes through a maximum in its time curve (l(t)). It is determined as follows in accordance with the present invention. Firstly, the time curve of the current (l(t)) or the current density (L(t)/S) is calculated in accordance with the following equations (1) and (2), where equation (1) describes the current as a function of the tilt angle of the liquid-crystal director and equation (2) describes the correlation between the tilt angle and the time that has passed after application of the voltage.
• $\mathrm{Equation}\left(1\right)$ $I_{\left({\theta }_b\right)}=\frac{S\left(2{\alpha }_1{\sin }^2{\theta }_b{\cos }^2{\theta }_b-{\gamma }_2\cos 2{\theta }_b+{\gamma }_3\right){\left({\varepsilon }_0\mathrm{\Delta \varepsilon }\sin 2{\theta }_b\right)}^2E_b^3}{\left({\alpha }_1{\gamma }_1+{\gamma }_2^2\right){\sin }^22{\theta }_b-{\gamma }_1^2-{\gamma }_2^2+2{\gamma }_1{\gamma }_3}$ $\mathrm{Equation}\left(2\right)$ $t\left({\theta }_b\right)=\frac{{\beta }_2}{2{\varepsilon }_0\mathrm{\Delta \varepsilon }E_b^2{\beta }_3}\left\{\begin{array}{c}-\ln \left(\frac{\tan {\theta }_b}{\tan {\theta }_0}\right)+\frac{-{\beta }_5+{\gamma }_2\sqrt{{\beta }_1}}{2{\beta }_4\sqrt{{\beta }_1}}\ln \left(\frac{{\beta }_4{\tan }^2{\theta }_b+{\beta }_7+\sqrt{{\beta }_1}}{{\beta }_4{\tan }^2{\theta }_0+{\beta }_7+\sqrt{{\beta }_1}}\right)+\\ \frac{{\beta }_5+{\gamma }_2\sqrt{{\beta }_1}}{2{\beta }_4\sqrt{{\beta }_1}}\ln \left(\frac{{\beta }_4{\tan }^2{\theta }_b+{\beta }_7-\sqrt{{\beta }_1}}{{\beta }_4{\tan }^2{\theta }_0+{\beta }_7-\sqrt{{\beta }_1}}\right)\end{array}\right\}+\frac{{\beta }_6}{2{\varepsilon }_0\mathrm{\Delta \varepsilon }E_b^2\sqrt{{\beta }_1}}\ln \left[\frac{\left({\alpha }_1\cos 2{\theta }_b+{\gamma }_2+\sqrt{{\beta }_1}\right)\left({\alpha }_1\cos 2{\theta }_0+{\gamma }_2-\sqrt{{\beta }_1}\right)}{\left({\alpha }_1\cos 2{\theta }_b+{\gamma }_2-\sqrt{{\beta }_1}\right)\left({\alpha }_1\cos 2{\theta }_0+{\gamma }_2+\sqrt{{\beta }_1}\right)}\right]$
• where:
• S=electrode area (this is not necessary for determination of the maximum of l(t)),
• E_b=U/I (U=90 V and I=22 μm assumed for the calculations for the present invention),
• θ₀=bulk tilt angle at time t=0
• θ_b=bulk tilt angle
• α₁ to α₅=Leslie viscosity coefficients,
• β₁=α₁ ²+γ₂ ²+2α₁γ₃,
• β₂=γ₁ ²+γ₂ ²−2γ₁γ₃,
• β₃=γ₂−γ₃,
• β₄=γ₂+γ₃,
• β₅=γ₂ ²+α₁γ₃,
• β₆=α₁γ₁+γ₂ ²,
• β₇=α₁+γ₃
• γ₁=−□α₂; (rotational viscosity),
• γ₂=α₃−α₂ and
• γ₃=α₃+α₄+α₅.
• For the Leslie viscosity coefficients, the following assumptions are used for the present invention:
• α₁=−10 mPas and
  α₃=0 mPas.
• In addition, for α₃=0 in accordance with Parodi:
• 
  α₄+α₅=−α₂+2η₂
• 
  i.e.
• 
  α₄+α₅=γ₁+2η₂.
• The following is additionally assumed here:
• 
  η₂≈ρ*ν
• where:
  ρ=density (about 1 g/cm³) and
  ν=flow viscosity.
• For better legibility, the two equations (1) and (2) are shown again in FIG. 1.
• The position of the maximum t_max of the function l(t) or l(θ_b(t)) can be determined in various ways. Thus, for example, the function l(t) can be calculated numerically and the value and position of the maximum selected numerically or determined graphically. For the purposes of the present invention, numerical methods are preferred, and particular preference is given to the use of corresponding mathematics software Mathematica (for example: version 3) from Wolfram Research, Inc., into which an implicit representation of l(t) is entered, and the maximum of l(t) is determined numerically via derivation of the function after time (dl/dt).
• The liquid-crystal media according to the invention have a value of the peak time (t_max) of 0.25 ms or less, particularly preferably of 0.20 ms or less, still more preferably of 0.16 ms or less, very particularly preferably of 0.13 ms or less and especially preferably of 0.12 ms or less.
• For a Δn of 0.080±0.010, the value t_max of the liquid-crystal media according to the invention is preferably 0.18 ms or less, particularly preferably 0.16 ms or less, still more preferably 0.14 ms or less, very particularly preferably 0.12 ms or less and especially preferably 0.10 ms or less.
• For a Δn of 0.100±0.010, the value t_max of the liquid-crystal media according to the invention is preferably 0.19 ms or less, particularly preferably 0.17 ms or less, still more preferably 0.15 ms or less, very particularly preferably 0.13 ms or less and especially preferably 0.12 ms or less.
• For a Δn of 0.120±0.010, the value t_max of the liquid-crystal media according to the invention is preferably 0.20 ms or less, particularly preferably 0.18 ms or less, still more preferably 0.16 ms or less, very particularly preferably 0.14 ms or less and especially preferably 0.13 ms or less.
• For a Δn of 0.150±0.020, the value t_max of the liquid-crystal media according to the invention is preferably 0.21 ms or less, particularly preferably 0.20 ms or less, still more preferably 0.18 ms or less, very particularly preferably 0.16 ms or less and especially preferably 0.15 ms or less. For a Δn of 0.200±0.030 the value t_max of the liquid-crystal media according to the invention is preferably 0.25 ms or less, particularly preferably 0.22 ms or less, still more preferably 0.20 ms or less, very particularly preferably 0.19 ms or less and especially preferably 0.18 ms or less.
• Since different values of the optical retardation (d·Δn) are in some cases required for the particular applications of the liquid-crystal media in the various display types or designs and the response time in the case of most electro-optical effects is inversely proportional to the square of the layer thickness of the liquid-crystal cells (d), a further parameter for characterisation of the corresponding liquid-crystal media is the quotient of the calculated peak time (t_max) and the square of the birefringence (Δn), i.e.: t_max/Δn².
• The liquid-crystal media according to the invention preferably have a value of t_max/Δn² of 22 ms or less, particularly preferably of 20 ms or less, still more preferably of 18 ms or less, very particularly preferably of 16 ms or less and especially of 15 ms or less.
• For an average dielectric constant (∈_av.) of 4.0±0.5, the value t_max/Δn² of the liquid-crystal media according to the invention is preferably 18 ms or less, particularly preferably 16 ms or less, still more preferably 14 ms or less, very particularly preferably 12 ms or less and especially preferably 10 ms or less.
• For an ∈_av. of 5.0±0.5, the value t/Δn² of the liquid-crystal media according to the invention is preferably 19 ms or less, particularly preferably 17 ms or less, still more preferably 15 ms or less, very particularly preferably 13 ms or less and especially preferably 12 ms or less.
• For an ∈_av. of 6.0±0.5, the value t/Δn² of the liquid-crystal media according to the invention is preferably 22 ms or less, particularly preferably 20 ms or less, still more preferably 18 ms or less, very particularly preferably 16 ms or less and especially preferably 14 ms or less.
• For an ∈_av. of 7.0±0.5, the value t/Δn² of the liquid-crystal media according to the invention is preferably 24 ms or less, particularly preferably 22 ms or less, still more preferably 20 ms or less, very particularly preferably 17 ms or less and especially preferably 14 ms or less.
• For an ∈_av. of 8.0±0.5, the value t/Δn² of the liquid-crystal media according to the invention is preferably 26 ms or less, particularly preferably 23 ms or less, still more preferably 21 ms or less, very particularly preferably 19 ms or less and especially preferably 16 ms or less.
• The present invention likewise relates to liquid-crystal displays which contain or use the liquid-crystal media according to the invention. These displays can be addressed directly, by means of a time multiplex method or by means of an active matrix, for example by TFTs (thin film transistors), varistors or diodes. Preference is given to displays with active matrix addressing.
• In addition, the present invention relates to the corresponding process for reducing the response time of the displays.
• The liquid-crystal media according to the invention preferably comprise
• a) a dielectrically negative, liquid-crystalline component (component A), which preferably comprises one or more dielectrically negative compound(s) of the formula
• 
• • in which at least one of
• 
• denotes
• 
• • and the others, if present, in each case, independently of one another, have the same meaning or denote
• 
• • • preferably, independently of one another,
• 
• • • particularly preferably
• 
• • •  denotes
• 
• • •  and/or, if present,
• 
• • • denote
• 
• • R¹¹ and R¹², independently of one another, denote alkyl having 1 to 7 C atoms, preferably n-alkyl, particularly preferably n-alkyl having 1 to 5 C atoms, alkoxy having 1 to 7 C atoms, preferably n-alkoxy, particularly preferably n-alkoxy having 1 to 5 C atoms, or alkoxyalkyl, alkenyl or alkenyloxy having 2 to 7 C atoms, preferably having 2 to 4 C atoms, preferably alkenyl, where one or more H atoms in all groups may be replaced by halogen atoms, preferably F atoms,
  • L¹¹ and L¹², independently of one another, denote C—F or N, preferably at least one of L¹¹ and L¹² denotes C—F, particularly preferably L¹¹ and L¹² both denote C—F,
  • Z¹¹ and Z¹², in each case independently of one another, denote —CH₂—CH₂—, —C≡C—, —CH═CH—, —CF═CF—, —CF═CH—, —CH═CF—, —CH₂—CF₂—, —CF₂—CH₂—, —CF₂—CF₂—, —CO—O—, —O—CO—, —OCH₂—, —CH₂O—, —OCF₂, —CF₂O— or a single bond, preferably —CH₂—CH₂—, —CH═CH—, —CH₂—CF₂—, —CF₂—CH₂—, —CF₂—CF₂—, —OCH₂—, —CH₂O—, —OCF₂, —CF₂O— or a single bond, particularly preferably one of Z¹¹ and Z¹² denotes —CH₂—CH₂— or a single bond and the other denotes a single bond, particularly preferably both denote a single bond, and
  • n denotes 0, 1 or 2, preferably 0 or 1, and
• b) a dielectrically neutral, liquid-crystalline component (component B), which preferably comprises one or more dielectrically neutral compound(s) of the formula II
• 
• • in which
  • R²¹ and R²², in each case independently of one another, have one of the meanings given for R¹¹ and R¹² and preferably denote alkyl having 1 to 7 C atoms, preferably n-alkyl and particularly preferably n-alkyl having 1 to 5 C atoms, alkoxy having 1 to 7 C atoms, preferably n-alkoxy and particularly preferably n-alkoxy having 2 to 5 C atoms, or alkoxyalkyl, alkenyl or alkenyloxy having 2 to 7 C atoms, preferably having 2 to 4 C atoms, preferably alkenyloxy,
  • Z²¹ to Z²³, in each case independently of one another, have one of the meanings given for Z¹¹ and Z¹² and preferably denote —CH₂—CH₂—, —CH═CH—, —C≡C—, —COO— or a single bond, preferably —CH₂—CH₂— or a single bond and particularly preferably a single bond,
• 
• • • in each case independently of one another, denote
• 
• • • preferably
• 
• • •  denote
• 
• • • and, if present,
• 
• • •  denotes
• 
• • p and q, in each case independently of one another, denote 0 or 1, preferably (p+q) denotes 0 or 1, particularly preferably q denotes 0 and especially preferably p and q both denote 0,
  • and optionally
• c) a chiral component (component C) which comprises one or more chiral compounds.
• In a preferred embodiment, the medium comprises one or more compounds of the formula I, selected from the group of the compounds of the formulae I-1 to I-5
• 
• • in which the parameters have the respective meaning indicated above for the formula land preferably
  • R¹¹ denotes alkyl or alkenyl and
  • R¹² denotes alkyl, alkenyl, alkoxy or alkenyloxy.
  • In a further preferred embodiment, the medium comprises one or more compounds of the formula I-1, selected from the group of the compounds of the formulae I-1a to I-1d, preferably of the formulae I-1b and/or I-1d, particularly preferably of the formula I-1d,
• 
• • in which
  • alkyl and alkyl′, independently of one another, denote alkyl having 1 to 7 C atoms, preferably having 2 to 5 C atoms
  • alkoxy denotes alkoxy having 1 to 7 C atoms, preferably having 2 to 4 C atoms, and
  • alkenyl denotes alkenyl having 2 to 7 C atoms, preferably having 2 to 5 C atoms.
  • In a further preferred embodiment, the medium comprises one or more compounds of the formula I-2, selected from the group of the compounds of the formulae I-2a to I-2d, preferably of the formulae I-2a and/or I-2b, particularly preferably of the formula I-2b,
• 
• • in which
  • alkyl and alkyl′, independently of one another, denote alkyl having 1 to 7 C atoms, preferably having 2 to 5 C atoms
  • alkoxy denotes alkoxy having 1 to 7 C atoms, preferably having 2 to 4 C atoms, and
  • alkenyl denotes alkenyl having 2 to 7 C atoms, preferably having 2 to 5 C atoms.
• In a further preferred embodiment, the medium comprises one or more compounds of the formula I-3, selected from the group of the compounds of the formulae I-3a to I-3d, preferably of the formulae I-3b and/or I-3d,
• 
• • in which
  • alkyl and alkyl′, independently of one another, denote alkyl having 1 to 7 C atoms, preferably having 2 to 5 C atoms
  • alkoxy denotes alkoxy having 1 to 7 C atoms, preferably having 2 to 4 C atoms, and
  • alkenyl denotes alkenyl having 2 to 7 C atoms, preferably having 2 to 5 C atoms.
  • In a further preferred embodiment, the medium comprises one or more compounds of the formula I-4, selected from the group of the compounds of the formulae I-4a to I-4d, preferably of the formulae I-4a and/or I-4c, particularly preferably of the formula I-4a,
• 
• • in which
  • alkyl and alkyl′, independently of one another, denote alkyl having 1 to 7 C atoms, preferably having 2 to 5 C atoms
  • alkoxy denotes alkoxy having 1 to 7 C atoms, preferably having 2 to 4 C atoms, and
  • alkenyl denotes alkenyl having 2 to 7 C atoms, preferably having 2 to 5 C atoms.
  • In a further preferred embodiment, the medium comprises one or more compounds of the formula I-5, selected from the group of the compounds of the formulae I-5a to I-5d, preferably of the formulae I-5a and/or I-5c, particularly preferably of the formula I-5a,
• 
• • in which
  • alkyl and alkyl′, independently of one another, denote alkyl having 1 to 7 C atoms, preferably having 2 to 5 C atoms
  • alkoxy denotes alkoxy having 1 to 7 C atoms, preferably having 2 to 4 C atoms, and
  • alkenyl denotes alkenyl having 2 to 7 C atoms, preferably having 2 to 5 C atoms.
  • In a further preferred embodiment, the medium comprises one or more compounds of the formula II from the group of the compounds of the formulae II-1 to II-8, preferably selected from the group of the compounds of the formulae II-1 to II-6, preferably from the group II-1 to II-4 and particularly preferably from the group II-2 and II-3,
• 
• • in which the parameters have the respective meaning indicated above for the formula II, and
  • Y¹ denotes H or F, and
  • preferably
  • R²¹ denotes alkyl or alkenyl and
  • R²² denotes alkyl, alkenyl or alkoxy, preferably alkyl or alkenyl, particularly preferably alkenyl.
  • In a further preferred embodiment, the medium comprises one or more compounds of the formula II-1, selected from the group of the compounds of the formulae II-1a to II-1e, preferably of the formulae II-1a and/or II-1c and/or II-1d, particularly preferably of the formulae II-1c and/or II-1d and very particularly preferably of the formula II-1c and of the formula II-1d,
• 
• • in which
  • alkyl and alkyl′, independently of one another, denote alkyl having 1 to 7 C atoms, preferably having 2 to 5 C atoms
  • alkoxy denotes alkoxy having 1 to 5 C atoms, preferably having 2 to 4 C atoms, and
  • alkenyl and alkenyl′, independently of one another, denote alkenyl having 2 to 7 C atoms, preferably having 2 to 5 C atoms.
  • In a further preferred embodiment, the medium comprises one or more compounds of the formula II-2, selected from the group of the compounds of the formulae II-2a to II-2d, preferably of the formulae II-2a and/or II-2b, particularly preferably of the formula II-2b,
• 
• • in which
  • alkyl and alkyl′, independently of one another, denote alkyl having 1 to 7 C atoms, preferably having 2 to 5 C atoms
  • alkoxy denotes alkoxy having 1 to 5 C atoms, preferably having 2 to 4 C atoms, and
  • alkenyl denotes alkenyl having 2 to 7 C atoms, preferably having 2 to 5 C atoms.
  • In a further preferred embodiment, the medium comprises one or more compounds of the formula II-3, selected from the group of the compounds of the formulae II-3a to II-3d, preferably of the formulae II-3a and/or II-3d, particularly preferably of the formula II-3d,
• 
• • in which
  • alkyl and alkyl′, independently of one another, denote alkyl having 1 to 7 C atoms, preferably having 2 to 5 C atoms
  • alkoxy denotes alkoxy having 1 to 5 C atoms, preferably having 2 to 4 C atoms, and
  • alkenyl denotes alkenyl having 2 to 7 C atoms, preferably having 2 to 5 C atoms.
  • In a further preferred embodiment, the medium comprises one or more compounds of the formula II-4 selected from the group of the compounds of the formulae II-4a to II-4d, preferably of the formulae II-4a and/or II-4d, particularly preferably of the formula II-4d,
• 
• • in which
  • alkyl and alkyl′, independently of one another, denote alkyl having 1 to 7 C atoms, preferably having 2 to 5 C atoms
  • alkoxy denotes alkoxy having 1 to 5 C atoms, preferably having 2 to 4 C atoms, and
  • alkenyl denotes alkenyl having 2 to 7 C atoms, preferably having 2 to 5 C atoms.
• The medium particularly preferably comprises one or more compound(s) of the formula II-1, selected from the group
• • of the formulae II-1c, especially preferably
  • of the formula II-1 in which R²¹ denotes vinyl or 1-propenyl and R²² denotes alkyl, preferably n-alkyl, particularly preferably R²¹ denotes vinyl and R²² denotes propyl, and
  • of the formula II-1d, especially preferably
  • of the formula II-1 in which R²¹ and R²², independently of one another, denote vinyl or 1-propenyl, preferably R²¹ denotes vinyl and particularly preferably R²¹ and R²² denote vinyl.
• In a preferred embodiment, the medium comprises one or more compounds of the formula II-3, especially preferably one or more compound(s) in which R²¹ denotes vinyl or 1-propenyl and R²² denotes alkyl, preferably n-alkyl, particularly preferably R²¹ denotes vinyl and R²² denotes methyl.
• In a preferred embodiment, the medium comprises one or more compounds of the formula II-5, especially preferably one or more compound(s) in which R²¹ denotes alkyl, vinyl or 1-propenyl and R²² denotes alkyl, preferably n-alkyl.
• For the present invention, in connection with the detailing of the constituents of the compositions:
• • comprise: means that the concentration of the constituents in question in the composition is preferably 10% or more, particularly preferably 20% or more,
  • consist predominantly of: means that the concentration of the constituents in question in the composition is preferably 50% or more, particularly preferably 55% or more and very particularly preferably 60% or more,
  • consist essentially completely of: means that the concentration of the constituents in question in the composition is preferably 80% or more, particularly preferably 90% or more and very particularly preferably 95% or more, and
  • consist virtually completely of: means that the concentration of the constituents in question in the composition is preferably 98% or more, particularly preferably 99% or more and very particularly preferably 100.0%.
• This applies both to the media as compositions with their constituents, which can be components and compounds, and to the components with their constituents, the compounds.
• Component A preferably consists predominantly, particularly preferably essentially completely and very particularly preferably virtually completely, of one or more compounds of the formula I, preferably selected from the group of the compounds of the formulae I-1 to I-5 and very particularly preferably selected from the group of the compounds of the formulae I-1a to I-5d.
• Component B preferably consists predominantly, particularly preferably essentially completely and very particularly preferably virtually completely, of one or more compounds of the formula II, preferably selected from the group of the compounds of the formulae II-1 to II-6, particularly preferably selected from the group of the compounds of the formulae II-1 to II-4 and very particularly preferably selected from the group of the compounds of the formulae II-1a to II-4d.
• The chiral compound or the chiral compounds which can be used in component C of the liquid-crystal media in accordance with the present invention are selected from the known chiral dopants. Component C preferably consists predominantly, particularly preferably essentially completely and very particularly preferably virtually completely, of one or more compounds selected from the group of the compounds of the following formulae III to V
• 
• • in which
  • R³¹ to R⁴³
  • and R⁵, in each case independently of one another, have the meaning given above for R²¹ under the formula II, and alternatively denote H, CN, F, Cl CF₃, OCF₃, CF₂H or OCF₂H, and at least one of R³¹ and R³² denotes a chiral group,
  • Z³¹ to Z⁵³
  • and Z⁵, in each case independently of one another, denote —CH₂CH₂—, —CH═CH—, —COO—, —O—CO— or a single bond, preferably Z³¹, Z³², Z⁴¹, Z⁴⁴ and Z⁴⁵ denote a single bond, Z³³, Z⁴² and Z⁴³ denote —COO— or a single bond, Z⁴² preferably denotes —COO—, and Z⁴³ and Z⁵ denote —O—CO—,
• 
• • • in each case independently of one another, denote
• 
• • s, t, u, v, and w, in each case independently of one another, denote 0 or 1, preferably s and t both denote 0 and u and v both denote 1.
• The compounds of the formulae Ill to V are preferably selected from the group of the compounds of the formulae III-1 to III-3, IV-1 and IV-2 or V-1 and V-2,
• 
• • in which the parameters in each case have the meaning given above under the formulae III to V and preferably
  • R³¹ to R⁵ denote alkyl, alkenyl or alkoxy, H, CN, F, CI, CF₃, OCF₃, CF₂H or OCF₂H, and at least one of R³¹ and R³² denotes a chiral group, preferably isooctyloxy,
  • Z³¹ denotes a single bond,
  • Z³³ in the formula III-2 denotes a single bond and in the formula III-3 denotes —COO—, Z⁴² denotes —COO—,
  • Z⁴³ denotes —O—CO—,
  • m denotes an integer from 1 to 8, preferably 6, and
  • l denotes an integer from 0 to 8, preferably 1, which is different from m.
  • The compounds are especially preferably selected from the group of the compounds of the following formulae III-1a, III-1b, III-2a to III-2c and III-3a, IV-1a and IV-2a or V-1a and V-2a
• 
• In a preferred embodiment, the liquid-crystal media according to the invention comprise in total, based on the mixture as a whole,
• 30% or more to 85% or less, preferably 40% or more to 80% or less, preferably 50% or more to 70% or less and particularly preferably 60% or more to 70% or less and very particularly preferably 65% or more to 69% or less, of component A, preferably of compounds of the formula I, and
• 15% or more to 70% or less, preferably 20% or more to 60% or less, particularly preferably 30% or more to 50% or less and very particularly preferably 35% or more to 45% or less, of component B, preferably of compounds of the formula II, and
• 0% or more to 15% or less, preferably 0% or more to 10% or less, particularly preferably 0.1% or more to 6% or less and very particularly preferably 1% or more to 5% or less, of component C, preferably of compounds selected from the group of the formulae III to V.
• In a further preferred embodiment, the liquid-crystal media according to the invention comprise in total, based on the mixture as a whole,
• 25% or more to 45% or less, preferably 30% or more to 40% or less, particularly preferably 32% or more to 39% or less and very particularly preferably 33% or more to 37% or less, of compounds of the formula I-1,
• 15% or more to 45% or less, preferably 18% or more to 32% or less, particularly preferably 20% or more to 30% or less and very particularly preferably 21% or more to 25% or less, of compounds of the formula I-2,
• 0% or more to 30% or less, preferably 5% or more to 25% or less, particularly preferably 10% or more to 20% or less and very particularly preferably 13% or more to 18% or less, of compounds of the formula I-3,
• 0% or more to 20% or less, preferably 0% or more to 15% or less, particularly preferably 0% or more to 10% or less and very particularly preferably 0% or more to 5% or less, of compounds selected from the group of the formulae I-4 and 1-5, preferably of the formula I-4,
• 15% or more to 45% or less, preferably 20% or more to 40% or less, particularly preferably 25% or more to 37% or less and very particularly preferably 30% or more to 35% or less, of compounds selected from the group of the formulae II-1 and II-5, preferably of the formula II-5,
• 0% or more to 20% or less, preferably 0% or more to 15% or less, particularly preferably 0% or more to 10% or less and very particularly preferably 0% or more to 5% or less, of compounds selected from the group of the formulae II-2 and II-4, preferably of the formula II-4, and
• 0% or more to 20% or less, preferably 0% or more to 15% or less, particularly preferably 1% or more to 12% or less and very particularly preferably 3% or more to 8% or less of compounds selected from the group of the formulae II-3 and II-6, preferably of the formula II-6.
• In a preferred embodiment, the liquid-crystal mixture according to the invention comprises in total 1% or more to 40% or less, preferably 3% or more to 30% or less, particularly preferably 5% or more to 25% or less and very particularly preferably 10% or more to 20% or less, of compounds selected from the group of the formulae III, IV and V.
• Here, as throughout the present disclosure and the claims, the term “compounds”, also written as “compound(s)”, denotes both one and a plurality of compounds, unless explicitly stated otherwise.
• The individual compounds are employed in the mixtures in concentrations of in each case 1% or more to 30% or less, preferably 2% or more to 30% or less and particularly preferably 4% or more to 16% or less.
• In a preferred embodiment, the liquid-crystal media especially preferably in each case comprise in total
• 29% to 38% of compounds of the formula I-1,
• 14% to 28% of compounds of the formula I-2,
• 3% to 17% of compounds of the formula I-3,
• 0% to 5% of compounds of the formula I-4,
• 0% to 5% of compounds of the formula I-5,
• 28% to 42% of compounds of the formula II-1 and II-4,
• 0% to 5% of compounds of the formula II-2 and II-5 and
• 0% to 5% of compounds of the formula II-3 and II-6.
• The liquid-crystal media in this embodiment very particularly preferably comprise in each case in total
• 31% to 36% of compounds of the formula I-1,
• 17% to 23% of compounds of the formula I-2,
• 5% to 15% of compounds of the formula I-3,
• 0% to 3% of compounds of the formula I-4,
• 0% to 3% of compounds of the formula I-5,
• 30% to 37% of compounds of the formula II-1 and II-4,
• 0% to 2% of compounds of the formula II-2 and II-5 and
• 0% to 3% of compounds of the formula II-3 and II-6.
• In a particularly preferred embodiment, which may be identical and preferably is identical with the preferred embodiments described above for the preferred concentration ranges, the liquid-crystal media comprise:
• • one or more compounds of the formula I, preferably selected from the group of the compounds of the formulae I-1 to 1-5, preferably of the formulae I-1 and/or 1-2 and/or 1-3, preferably where R¹¹ denotes n-alkyl or alkenyl, preferably alkenyl, particularly preferably vinyl, and R¹² alkyl or alkoxy, preferably alkoxy, preferably
  • one or more compounds of the formula I-1 in which R¹¹ preferably denotes n-propyl or n-pentyl and R²² preferably denotes ethoxy and/or
  • one or more compounds of the formula I-2 in which R¹¹ preferably denotes ethyl or n-butyl, preferably n-butyl, and R²² preferably denotes ethoxy and/or
  • one or more compounds of the formula II, preferably selected from the group of the compounds of the formulae II-1 to II-6, preferably of the formulae II-1 and/or II-3 and/or 1-5 and/or II-6, preferably where R²¹ denotes n-alkyl or alkenyl, preferably alkenyl, particularly preferably vinyl, and R²² denotes alkyl or alkoxy, preferably alkoxy, particularly preferably methyl or propyl, preferably
  • one or more compounds of the formula II-1 in which R²¹ preferably denotes alkenyl, particularly preferably vinyl or 1-propenyl, very particularly preferably vinyl, and R²² preferably denotes alkyl, preferably n-alkyl and very particularly preferably propyl and/or
  • one or more compounds of the formula II-1 in which R²¹ and R²² preferably denote alkenyl, particularly preferably vinyl or 1-propenyl, very particularly preferably R²¹ denotes vinyl and especially preferably R²¹ and R²² both denote vinyl and/or
  • one or more compounds of the formula II-3 in which R²¹ preferably denotes alkenyl, preferably vinyl, and R²² preferably denotes alkyl, preferably methyl, and/or
  • one or more compounds of the formula II-5 and/or
  • one or more compounds of the formula II-6 and/or
  • one or more compounds selected from the group of the compounds of the formula III and/or
  • one or more compounds selected from the group of the compounds of the formula IV.
• Particular preference is given here to liquid-crystal media which comprise
• • one or more compounds of the formula I, preferably selected from the group of the compounds of the formulae I-1 to I-5, preferably where R¹¹ denotes n-alkyl and R¹² denotes alkoxy, and in particular in each case per compound in concentrations of 6% or more to 20% or less per compound and/or
  • one or more compounds of the formula II-1, in particular in each case per compound in concentrations of 2% or more, preferably 4% or more, to 11% or less per compound, and/or
  • one or more compounds of the formulae II-3, II-2 and II-4, in particular in each case per compound in concentrations of 2% or more, preferably 4% or more, to 11% or less per compound, and/or
  • one or more compounds of the formulae III to V, in particular in each case per compound in concentrations of 0.1% or more, preferably 0.4% or more, to 8% or less per compound.
• The liquid-crystal media according to the invention preferably have a nematic phase of in each case at least from −20° C. or less to 70° C. or more, particularly preferably from −30° C. or less to 80° C. or more, very particularly preferably from −40° C. or less to 85° C. or more and most preferably from −40° C. or less to 90° C. or more.
• The term “have a nematic phase” here means firstly that no smectic phase and no crystallisation are observed at low temperatures at the corresponding temperature and secondly that clearing still does not occur on heating from the nematic phase. The investigation at low temperatures is carried out in a flow viscometer at the corresponding temperature and testing is carried out by storage in test cells having a layer thickness corresponding to the electro-optical application, for at least 100 hours. If the storage stability at a temperature of −20° C. in a corresponding test cell is 1000 h or more, the medium is referred to as stable at this temperature. At temperatures of −30° C. and −40° C., the corresponding times are 500 h and 250 h respectively. At high temperatures, the clearing point is measured by conventional methods in capillaries.
• Furthermore, the liquid-crystal media according to the invention are characterised by optical anisotropy values in the moderate to low range. The birefringence values are preferably in the range from 0.065 or more to 0.130, particularly preferably in the range from 0.070 to 0.100 and very particularly preferably in the range from 0.075 to 0.090.
• In an overlapping particularly preferred embodiment of the present invention, birefringence values are preferably in the range from 0.060 or more to 0.120, particularly preferably in the range from 0.070 to 0.090 and very particularly preferably in the range from 0.075 to 0.085.
• The liquid-crystal media according to the invention have negative dielectric anisotropy and have relatively high values of the dielectric anisotropy (|Δ∈|), which are preferably in the range from 2.7 or more to 5.3 or less, preferably up to 4.5 or less, preferably from 2.9 or more to 4.5 or less, particularly preferably from 3.0 or more to 4.0 or less and very particularly preferably from 3.5 or more to 3.9 or less.
• The liquid-crystal media according to the invention have relatively small values for the threshold voltage (V₀) in the range from 1.7 V or more to 2.5 V or less, preferably from 1.8 V or more to 2.4 V or less, particularly preferably from 1.9 V or more to 2.3 V or less and very particularly preferably from 1.95 V or more to 2.1 V or less.
• The liquid-crystal media according to the invention preferably have relatively low values of the average dielectric anisotropy (∈_av.≡(∈_∥+2∈_⊥)/3), which are preferably in the range from 5.0 or more to 7.0 or less, preferably from 5.5 or more to 6.5 or less, still more preferably from 5.7 or more to 6.4 or less, particularly preferably from 5.8 or more to 6.2 or less and very particularly preferably from 5.9 or more to 6.1 or less.
• In addition, the liquid-crystal media according to the invention have high values for the voltage holding ratio in liquid-crystal cells.
• In freshly filled cells at 20° C. in the cells, these are greater than or equal to 95%, preferably greater than or equal to 97%, particularly preferably greater than or equal to 98% and very particularly preferably greater than or equal to 99%, and after 5 minutes in the oven at 100° C. in the cells, greater than or equal to 90%, preferably greater than or equal to 93%, particularly preferably greater than or equal to 96% and very particularly preferably greater than or equal to 98%.
• In general, liquid-crystal media having a low addressing voltage or threshold voltage have a lower voltage holding ratio than those having a relatively large addressing voltage or threshold voltage, and vice versa.
• These preferred values for the individual physical properties are preferably also maintained in each case combined with one another by the media according to the invention.
• For the present invention, “≦” means less than or equal to, preferably less than, and “≧” means greater than or equal to, preferably greater than.
• For the present invention,
• 
• denote trans-1,4-cyclohexylene.
• For the present invention, the term “dielectrically positive compounds” denotes compounds having a Δ∈ of >1.5, the term “dielectrically neutral compounds” denotes those where −1.5≦Δ∈≦1.5, and the term “dielectrically negative compounds” denotes those where Δ∈ is <−1.5. The dielectric anisotropy of the compounds is determined here by dissolving 10% of the compounds in a liquid-crystalline host and determining the capacitance of the resultant mixture at 1 kHz in at least one test cell having a thickness of 20 μm with a homeotropic surface alignment and in at least one test cell having a thickness of 20 μm with a homogeneous surface alignment. The measurement voltage is typically from 0.5 V to 1.0 V, but it is always lower than the capacitive threshold of the respective liquid-crystal mixture investigated.
• The host mixture used for dielectrically positive and dielectrically neutral compounds is ZLI-4792 and the host mixture used for dielectrically negative compounds is ZLI-2857, both from Merck KGaA, Germany. The change in the dielectric constants of the host mixture after addition of the compound to be investigated and extrapolation to 100% of the compound employed gives the values for the respective compounds to be investigated. The compound to be investigated is dissolved in the host mixture in an amount of 10%. If the solubility of the substance is too low to do this, the concentration is halved in steps until the investigation can be carried out at the desired temperature.
• All temperature values indicated for the present invention are indicated in ° C. and all temperature differences correspondingly in differential degrees, unless explicitly stated otherwise.
• For the present invention, the term “threshold voltage” relates to the capacitive threshold (V₀), also known as the Freedericksz threshold, unless explicitly stated otherwise. In the examples, as generally customary, the optical threshold for 10% relative contrast (V₁₀) is also determined and indicated.
• The electro-optical properties, for example the threshold voltage (V₀) (capacitive measurement) and the optical threshold (V₁₀), are, like the switching behaviour, determined in test cells produced at Merck KGaA. The measurement cells have substrates comprising soda-lime glass and are constructed in an ECB or VA configuration with polyimide alignment layers (SE-1211 with **26 diluent (mixing ratio 1:1), both from Nissan Chemicals, Japan), which are rubbed perpendicular to one another. The area of the transparent, virtually square electrodes comprising ITO is 1 cm². The layer thickness of the test cells used is selected corresponding to the birefringence of the liquid-crystal mixture investigated in such a way that the optical retardation is (0.33±0.01) μm. The polarisers, one of which is located in front of the cell and one of which is located behind the cell, form, with their absorption axes, an angle of 90° to one another and are with these axes parallel to the rubbing direction on their respective adjacent substrate. The layer thickness is usually about 4.0 μm. The cells are filled by means of capillarity under atmospheric pressure and are investigated in the unsealed state. The liquid-crystal mixtures used are, unless stated otherwise, not mixed with a chiral dopant, but they are also particularly suitable for applications in which such doping is necessary. The electro-optical properties and the response times of the test cells are determined in a DMS 301 measuring instrument from Autronic-Melchers, Karlsruhe, Germany, at a temperature of 20° C. The addressing wave form used is a rectangular wave having a frequency of 60 Hz. The voltage is quoted as V_rms (root mean square). During measurement of the response times, the voltage is increased from 0 V to twice the value of the optical threshold (2V₁₀) and back. The response times indicated apply to the total time which passes from the change in the voltage until 90% of the respective total change in the light intensity has been reached, i.e. τ_on≡t(0%>90%) and τ_off≡t(100%->10%), i.e. also encompass the respective delay times. Since the individual response times are dependent on the addressing voltage, the sum of the two individual response times (Σ=τ_on+τ_off) or the average response time (τ_av.=(τ_on+τ_off)/2) are also indicated in order to improve comparability of the results.
• The voltage holding ratio is determined in test cells produced at Merck KGaA. The measurement cells have substrates comprising soda-lime glass and are constructed with polyimide alignment layers (AL-3046 from Japan Synthetic Rubber, Japan) having a layer thickness of 50 nm, which are rubbed perpendicular to one another. The layer thickness is a uniform 6.0 μm. The area of the transparent electrodes comprising ITO is 1 cm².
• For the purposes of the present invention, all concentrations are, unless explicitly stated otherwise, indicated in percent by weight and relate to the corresponding mixture or mixture component. All physical properties are and have been determined in accordance with “Merck Liquid Crystals, Physical Properties of Liquid Crystals”, Status November 1997, Merck KGaA, Germany, and apply to a temperature of 20° C., unless explicitly stated otherwise. Δn is determined at 589 nm and Δ∈ at 1 kHz.
• The rotational viscosity is determined by the rotating permanent magnet method and the flow viscosity in a modified Ubbelohde viscometer. For liquid-crystal mixtures ZLI-2293, ZLI-4792 and MLC-6608, all products from Merck KGaA, Darmstadt, Germany, the rotational viscosity values determined at 20° C. are 161 mPa·s, 133 mPa·s and 186 mPa·s respectively, and the flow viscosity values (ν) are 21 mm²s·⁻¹, 14 mm²s·⁻¹ and 27 mm²s·⁻¹ respectively.
• The voltage holding ratio is determined at 20° C. and after 5 minutes in the oven at 100° C. The voltage used has a frequency of 60 Hz.
• The liquid-crystal media according to the invention may also, if required, comprise further additives, such as, for example, stabilisers, pleochroic dyes and chiral dopants (as component C), in the conventional amounts. The amount of these additives employed is in total 0% or more to 10% or less, based on the amount of the mixture as a whole, preferably 0.1% or more to 6% or less. The concentration of the individual compounds employed is preferably 0.1% or more to 3% or less. The concentration of these and similar additives is not taken into account in the quoting of the concentrations and concentration ranges of the liquid-crystal compounds in the liquid-crystal media.
• The compositions consist of a plurality of compounds, preferably 3 or more to 30 or less, particularly preferably 6 or more to 20 or less and very particularly preferably 10 or more to 16 or less, compounds, which are mixed in a conventional manner. In general, the desired amount of the components used in lesser amount is dissolved in the components making up the principal constituent of the mixture. This is advantageously carried out at elevated temperature. If the selected temperature is above the clearing point of the principal constituent, the completeness of the dissolution process is particularly easy to observe. However, it is also possible to prepare the liquid-crystal mixtures in other conventional ways, for example using premixes or from a so-called “multibottle system”.
• The following examples serve to illustrate the invention without restricting it. In the examples, the melting point T (C,N), the transition from the smectic (S) to the nematic (N) phase T(S,N) and the clearing point T(N,I) of a liquid-crystal substance are indicated in degrees Celsius.
• For the present invention and in the following examples, the structures of the liquid-crystal compounds are indicated by means of acronyms, with the transformation into chemical formulae taking place in accordance with Tables A to C below. All radicals C_nH_2n+1, C_mH_2m+1 and C_lH_2l+1 or C_nH_2n, C_mH_2m and C_lH_2l are straight-chain alkyl radicals or alkylene radicals, each having n, m and l C atoms respectively. The ring elements of the nuclei of the compound are coded in Table A, the bridging units are listed in Table B, and the meanings of the symbols for the left-hand or right-hand end groups of the molecules are listed in Table C. Illustrative molecular structures and their abbreviations are listed in Table D.

• TABLE A
  Ring elements

  	C
  	D
  	DI
  	A
  	AI
  	P
  	G
  	GI
  	U
  	UI
  	Y
  	Np
  	tH
  	dH

• TABLE B
  Bridging units

  	E	—CH2CH2—	Z	—CO—O—
  	V	—CH═CH—	ZI	—O—CO—
  	X	—CF═CH—	O	—CH2—O—
  	XI	—CH═CF—	OI	—O—CH2—
  	B	—CF═CF—	Q	—CF2—O—
  	T	—C≡C—	QI	—O—CF2—
  	W	—CF2CF2—	T	—C≡C—

• TABLE C
  End groups

  On the left standing alone	On the right standing alone

  -n-	CnH2n+1—	-n	—CnH2n+1
  -nO-	CnH2n+1O—	—nO	—O CnH2n+1
  -V-	CH2═CH—	—V	—CH═CH2
  -nV-	CnH2n+1—CH═CH—	-nV	—CnH2n—CH═CH2
  -Vn-	CH2═CH—CnH2n—	-Vn	—CH═CH—CnH2n+1
  -nVm-	CnH2n+1—CH═CH—CmH2m—	-nVm	—CnH2n—CH═CH—CmH2m+1
  -N-	N≡C—	-N	—C≡N
  -S-	S═C═N—	-S	—N═C═S
  -F-	F—	-F	—F
  -CL-	Cl—	-CL	—Cl
  -M-	CFH2—	-M	—CFH2
  -D-	CF2H—	-D	—CF2H
  -T-	CF3—	-T	—CF3
  -MO-	CFH2O—	-OM	—OCFH2
  -DO-	CF2HO—	-OD	—OCF2H
  -TO-	CF3O—	-OT	—OCF3
  -A-	H—C≡C—	-A	—C≡C—H
  -nA-	CnH2n+1—C≡C—	-An	—C≡C—CnH2n+1
  -NA-	NC—C≡C—	-AN	—C≡C—CN

  On the left in combination	On the right in combination

  -...A...-	—C≡C—	-...A...	—C≡C—
  -...V...-	CH═CH—	-...V...	—CH═CH—
  -...Z...-	—CO—O—	-...Z...	—CO—O—
  -...ZI...-	—O—CO—	-...ZI...	—O—CO—
  -...K...-	—CO—	-...K...	—CO—
  -...W...-	—CF═CF—	-...W...	—CF═CF—

• in which n and m are each integers, and the three dots “ . . . ” are place-holders for other abbreviations from this table.

• TABLE D
  CC-n-m
  CC-n-Om
  CC-n-V
  CC-n-Vm
  CC-n-mV
  CC-n-mVI
  CC-V-V
  CC-V-mV
  CC-V-Vm
  CC-Vn-mV
  CC-nV-mV
  CC-nV-Vm
  CP-n-m
  CP-nO-m
  CP-n-Om
  CCP-n-m
  CCP-nO-m
  CCP-n-Om
  CCP-n-V
  CCP-n-Vm
  CCP-n-mV
  CCP-n-mVI
  CCP-V-m
  CCP-nV-m
  CCP-Vn-m
  CCP-nVm-I
  CCY-n-m
  CCY-nO-m
  CCY-n-Om
  CCY-V-m
  CCY-nV-m
  CCY-nVm-I
  CPP-n-m
  CPP-nO-m
  CPP-n-Om
  CPP-V-m
  CCP-nV-m
  CPP-Vn-m
  CCP-nVm-I
  CPY-n-m
  CPY-nO-m
  CPY-n-Om
  PYP-n-m
  PYP-nO-m
  PYP-n-Om

• TABLE E
  Stabilisers which can be added, for example, to the mixtures according to
  the invention are indicated below.

• In a preferred embodiment of the present invention, the media according to the invention comprise one or more compounds selected from the group of the compounds of Table E.

• TABLE F
  Table F indicates chiral dopants which are preferably employed in the
  mixtures according to the invention.
  C 15
  CB 15
  R/S-811
  CM 44
  CN
  R/S-2011
  R/S-1011
  R/S-3011
  R/S-4011

EXAMPLES
• The following examples are intended to explain the invention without limiting it. However, they illustrate the range of properties which can preferably be achieved, as well as the compounds preferably to be employed.
• The liquid-crystal media are investigated with respect to their applicational properties. In particular, their respective electro-optical characteristic lines, response times and their voltage holding ratio in test cells are determined.
• The indicated values for the above-mentioned properties are generally average values of the measurements of two test cells in each case. The deviations between the results of the individual cells were generally a maximum of 4 to 5%.
Example 1
• Three liquid-crystal mixtures are achieved, all of which have virtually the same values of the clearing point, the birefringence, the dielectric anisotropy and even the rotational viscosity, but differ significantly in the value of the calculated peak times or the predicted response times (t_max or t_max/Δn²) respectively. The mixture M-2 is a mixture which consists of equal parts of M1 and M-3. The compositions of the mixtures are shown in the following table, the investigation results in the table after next.

• TABLE 1a
  	Example No.

  1-1

  1-2

  1-3

  Mixture No.

  M-1

  M-2

  M-3

  Composition

  	Compound	Concentration/%

  	CY-3-O4	18.0	15.0	12.0
  	CY-5-O2		6.0	12.0
  	CY-5-O4	13.0	12.5	12.0
  	CCY-3-O2	8.0	9.5	11.0
  	CCY-4-O2	8.0	4.0
  	CCY-5-O2		5.0	10.0
  	CCY-2-1	8.0	4.0
  	CCY-3-1	8.0	4.0
  	CPY-2-O2		4.0	8.0
  	PYP-2-3	5.0	2.5
  	CC-3-V		8.0	16.0
  	CC-3-V1	8.0	8.5	9.0
  	CC-4-V	10.0	5.0
  	CC-3-4	8.0	4.0
  	CC-3-5	6.0	7.0	8.0
  	CCP-V-1		1.0	2.0
  	Σ	100.0	100.0	100.0

• TABLE 1b
  	Example No.

  1-1

  1-2

  1-3

  Mixture No.

  	M-1	M-2	M-3

  Physical properties

  T (N.I)/° C.	70.4	70.0	70.0
  ne [589 nm, 20° C.]	1.5586	1.5588	1.5564
  no [589 nm, 20° C.]	1.4764	1.4767	1.4738
  Δn [589 nm, 20° C.]	0.0822	0.0821	0.0826
  ε|| [1 kHz, 20° C.]	3.4	3.5	3.6
  ε⊥ [1 kHz, 20° C.]	6.6	6.9	7.4
  Δε [1 kHz, 20° C.]	−3.2	−3.4	−3.8
  εav.[1 kHz, 20° C.]	5.53	5.83	6.13
  ν [20° C.]/mm2 s−1	20	18.5	17
  ν [0° C.]/mm2 s−1	n.d.	n.d.	55
  γ1 [20° C.]/mPa · s	113	113	113
  k1 [20° C.]/pN	12.7	13.2	12.6
  k3 [20° C.]/pN	12.9	13.7	14.6
  k3/k1 [20° C.]	1.02	1.04	1.16
  V0 [20° C.]/V	2.14	2.11	2.08
  V10 [20° C.]/V	2.54	2.57	2.48

  Calculated times

  tmax/ms	0.161	0.143	0.120
  tmax/Δn2/ms	23.9	21.1	17.7

  Experimental response times: τ(0 V => 2 × V10)

  τon [2x V10, 20° C.]/ms	10.1	8.3	7.0
  τoff [2x V10, 20° C.]/ms	10.6	10.0	10.8
  Σ [2x V10, 20° C.]/ms	20.7	18.3	17.8
  Note:
  n.d. not determined.

• As can be seen from the results, the response time of the liquid-crystal displays decreases significantly from Example 1-1 via Example 1-2 to Example 1-3 in parallel with the predicted response time t_max or t_max/Δn², in accordance with the teaching of the present invention.
Example 2
• Three liquid-crystal mixtures are achieved, all of which have virtually the same values of the clearing point, the birefringence, the dielectric anisotropy, the rotational viscosity and even in the value of the calculated peak times or response times (t_max or t_max/Δn²), but differ significantly in their composition. The mixture M-5 is a mixture which consists of equal parts of M-4 and M-6. The compositions of the mixtures are shown in the following table, the investigation results in the table after next.

• TABLE 2a
  	Example No.

  2-1

  2-2

  2-3

  Mixture No.

  M-4

  M-5

  M-6

  Composition

  	Compound	Concentration/%

  	CY-3-O2	16.0	8.0
  	CY-3-O4		9.0	18.0
  	CY-5-O2	14.0	7.0
  	CY-5-O4		8.5	17.0
  	CCY-3-O2	12.0	11.0	10.0
  	CCY-5-O2	11.0	10.5	10.0
  	CCY-2-1	9.0	4.5
  	CCY-3-1	8.0	4.0
  	CPY-2-O2		5.0	10.0
  	CPY-3-O2		1.0	2.0
  	CC-3-4	8.0	4.0
  	CC-3-5	9.0	10.5	12.0
  	CC-5-O1		3.0	6.0
  	CC-5-V		7.5	15.0
  	CP-5-3	7.0	3.5
  	CP-3-O1	6.0	3.0
  	Σ	100.0	100.0	100.0

• TABLE 2b
  	Example No.

  2-1

  2-2

  2-3

  Mixture No.

  	M-4	M-5	M-6

  Physical properties

  T (N.I)/° C.	71.0	70.0	70.0
  ne [589 nm, 20° C.]	1.5587	1.5584	1.5567
  no [589 nm, 20° C.]	1.4765	1.4759	1.4746
  Δn [589 nm, 20° C.]	0.0822	0.0825	0.0821
  ε|| [1 kHz, 20° C.]	3.6	3.7	3.7
  ε⊥ [1 kHz, 20° C.]	7.4	7.5	7.6
  Δε [1 kHz, 20° C.]	−3.8	−3.9	−3.9
  εav. [1 kHz, 20° C.]	6.13	6.23	6.3
  ν [20° C.]/mm2 s−1	21	21.5	22
  ν [0° C.]/mm2 s−1	67	n.d.	n.d.
  ν [−20° C.]/mm2 s−1	416	n.d.	n.d.
  ν [−30° C.]/mm2 s−1	1.380	n.d.	n.d.
  γ1 [20° C.] mPa · s	133	130	127
  k1 [20° C.]/pN	13.0	13.3	13.4
  k3 [20° C.]/pN	15.1	14.0	13.1
  k3/k1 [20° C.]	1.15	1.05	0.98
  V0 [20° C.]/V	2.10	2.01	1.92
  V10 [20° C.]/V	2.53	2.44	2.40

  Calculated times

  tmax/ms	0.147	0.145	0.147
  tmax/Δn2/ms	21.8	21.3	21.8

  Experimental response times: τ(0 V => 2 × V10)

  τon [2x V10, 20° C.]/ms	10.0	7.6	7.3
  τoff [2x V10, 20° C.]/ms	11.7	12.0	11.4
  Σ [2x V10, 20° C.]/ms	21.7	19.6	18.7
  Note:
  n.d. not determined.

• As can be seen from the results, all three mixtures of this example have good response times in accordance with their low value for t_max or t_max/Δn², in accordance with the teaching of the present invention.
• As can furthermore be seen from the results, the response time of the liquid-crystal displays additionally decreases significantly from Example 2-1 via Example 2-2 to Example 2-3 in parallel to the change in the composition of the mixtures, in accordance with the preferred teaching of the present invention.
• The liquid-crystal mixtures of Examples 1 and 2 are particularly distinguished by good response times, this applies in particular to mixtures M-2, M-3, M-5 and M-6. The liquid-crystal mixtures of Examples 1 and 2, particularly the four mixtures just mentioned, can advantageously be used in ECB displays of all known designs, such as, for example: MVA, PVA and ASV, and also in IPS and PA LCD displays.

Claims (57)

1-11. (canceled)

12. Δn electro-optical display containing a liquid-crystal medium having negative dielectric anisotropy, and having a peak time (t_max) of 0.25 ms or less, which is determined with the aid of equations (1) and (2),

$\mathrm{Equation}\left(1\right)$ $I_{\left({\theta }_b\right)}=\frac{S\left(2{\alpha }_1{\sin }^2{\theta }_b{\cos }^2{\theta }_b-{\gamma }_2\cos 2{\theta }_b+{\gamma }_3\right){\left({\varepsilon }_0\mathrm{\Delta \varepsilon }\sin 2{\theta }_b\right)}^2E_b^3}{\left({\alpha }_1{\gamma }_1+{\gamma }_2^2\right){\sin }^22{\theta }_b-{\gamma }_1^2-{\gamma }_2^2+2{\gamma }_1{\gamma }_3}$ $\mathrm{Equation}\left(2\right)$ $t\left({\theta }_b\right)=\frac{{\beta }_2}{2{\varepsilon }_0\mathrm{\Delta \varepsilon }E_b^2{\beta }_3}\left\{\begin{array}{c}-\ln \left(\frac{\tan {\theta }_b}{\tan {\theta }_0}\right)+\frac{-{\beta }_5+{\gamma }_2\sqrt{{\beta }_1}}{2{\beta }_4\sqrt{{\beta }_1}}\ln \left(\frac{{\beta }_4{\tan }^2{\theta }_b+{\beta }_7+\sqrt{{\beta }_1}}{{\beta }_4{\tan }^2{\theta }_0+{\beta }_7+\sqrt{{\beta }_1}}\right)+\\ \frac{{\beta }_5+{\gamma }_2\sqrt{{\beta }_1}}{2{\beta }_4\sqrt{{\beta }_1}}\ln \left(\frac{{\beta }_4{\tan }^2{\theta }_b+{\beta }_7-\sqrt{{\beta }_1}}{{\beta }_4{\tan }^2{\theta }_0+{\beta }_7-\sqrt{{\beta }_1}}\right)\end{array}\right\}+\frac{{\beta }_6}{2{\varepsilon }_0\mathrm{\Delta \varepsilon }E_b^2\sqrt{{\beta }_1}}\ln \left[\frac{\left({\alpha }_1\cos 2{\theta }_b+{\gamma }_2+\sqrt{{\beta }_1}\right)\left({\alpha }_1\cos 2{\theta }_0+{\gamma }_2-\sqrt{{\beta }_1}\right)}{\left({\alpha }_1\cos 2{\theta }_b+{\gamma }_2-\sqrt{{\beta }_1}\right)\left({\alpha }_1\cos 2{\theta }_0+{\gamma }_2+\sqrt{{\beta }_1}\right)}\right]$

where:

S=electrode area

E_b=U/l (U=90 V and l=22 μm are assumed),

θ₀=bulk tilt angle at time t=0

θ_b=bulk tilt angle

α₁ to α₅=Leslie viscosity coefficients,

β₁=α₁ ²+γ₂ ²+2α₁γ₃,

β₂=γ₁ ²+γ₂ ²−2γ₁γ₃,

β₃=γ₂−γ₃,

β₄=γ₂+γ₃,

β₅=γ₂ ²+α₁γ₃,

β₆=α₁γ₁+γ₂ ²,

β₇=α₁+γ₃

γ₁=−□α₂; (rotational viscosity),

γ₂=α₃−α₂ and

γ₃=α₃+α₄+α₅, wherein

for the Leslie viscosity coefficients, the following assumptions apply

α₁=−10 mPas and

α₃=0 mPas,

in addition, for α₃=0 in accordance with Parodi:

α₄+α₅=−α₂+2η₂

η₂≈ρ*υ

where:

ρ=density of about 1 g/cm³ and

υ=flow viscosity,

wherein

the medium comprises 98% or more of components A and B, and

the medium comprises 60-70% of components A,

component A is a dielectrically negative, liquid-crystalline component, which consists of:

33% to 37%, based on the medium, of at least one compound of formula I-1

and 3% to 17%, based on the medium, of at least one compound of formula I-3

in which R^11″ is C_3-7-alkyl, R¹¹′ is C_1-7-alkyl, R^12′ is alkyl having 1 to 7 C atoms, alkoxy having 1 to 7 C atoms, alkenyl or alkenyloxy having 2 to 7 C atoms, where in R^11′ and R^12′ one or more H atoms in all groups may be replaced by halogen atoms,

wherein in at least one compound of formula I-1 R^12′ is C₄-alkoxy,

and the remainder of component A is of one or more dielectrically negative compound(s) of formula I, which are not compounds of formula I-1 or I-3,

in which at least one of

denotes

and the others, if present, in each case, independently of one another, have the same meaning or denote

R¹¹ and R¹², independently of one another, denote alkyl having 1 to 7 C atoms,

L¹¹ and L¹², independently of one another, denote C—F or N,

Z¹¹ and Z¹², in each case independently of one another, denote —CH₂—CH₂—, —C≡C—, —CH═CH—, —CF═CF—, —CF═CH—, —CH═CF—, —CH₂—CF₂—, —CF₂—CH₂—, —CF₂—CF₂—, —CO—O—, —O—CO—, —OCH₂—, —CH₂O—, or a single bond, and

n denotes 0, 1 or 2,

and

component B is a dielectrically neutral, liquid-crystalline component, which consists of one or more dielectrically neutral compound(s) of formula II

in which

R²¹ and R²², in each case independently of one another, are C_1-7-alkyl, C_1-7-alkoxy, or alkoxyalkyl, alkenyl or alkenyloxy having 2-7 cations in which one or more H atoms in all groups may be replaced by halogen atoms,

Z²¹ to Z²³, in each case independently of one another, are —CH₂—CH₂—, —C≡C—, —CH═CH—, —COO— or a single bond,

and

in each case independently of one another, denote

and

p and q, in each case independently of one another, denote 0 or 1;

and wherein one or more of the following conditions apply:

condition 1: the liquid-crystal medium has a value of the quotient of peak time and square of birefringence (t_max/Δn²) of 22 ms or less;

condition 2: the liquid-crystal medium has an average of the dielectric constants in the range from 5.5 or more to 6.5 or less;

condition 3: the liquid-crystal medium has a dielectric anisotropy in the range from −3.0 or less to −4.0 or more;

condition 4: the liquid-crystal medium has a birefringence in the range from 0.070 to 0.110;

condition 5: the liquid crystalline medium comprises 30% to 37% of at least one compound of formula II that is of formula II-1 or II-4

in which

R²¹ and R²², in each case independently of one another, denote alkyl having 1 to 7 C atoms, alkoxy having 1 to 7 C atoms, alkenyl or alkenyloxy having 2 to 7 C atoms, where one or more H atoms in all groups may be replaced by halogen atoms;

condition 6: R^11′ is C_1-3-alkyl;

condition 7: R^11′ is C_2-3-alkyl;

condition 8: R¹¹ is C_3-7-alkyl;

condition 9: I-3 is

and n and m are 2;

condition 10: I-3 is

and n is 3 and m is 2;

condition 11: the compounds of Formula I are compounds of one or more of Formulae I-2, I-4 or I-5

condition 12: the medium comprises 99% to 100% of components A and B;

condition 13: the concentration of the compounds of formula I-3 is 10% or more;

condition 14: the concentration of the compounds of formula I-3 is 13% or more;

condition 15: the concentration of component A is 65-69%;

condition 16: one or more compounds of formula I are of formula I-2

wherein R¹¹ and R¹², independently of one another, denote alkyl having 1 to 7 C atoms,

which compounds of formula I-2 have a concentration of 20-30%, based on the medium;

condition 17: Z²¹ and Z²³ are each independently —CH₂—CH₂ or a single bond;

condition 18: Z²¹ and Z²³ are single bonds;

condition 19: the one or more compounds of Formula II are of one or more of the following formulae

in which Y¹ is H or F, and R²¹ and R²² are defined as for the compounds of formula II;

condition 20: the concentration of the compounds of formula I-2 is 21% to 25%;

condition 21: the one or more compounds of Formula II contain or are a compound of the formula CC-3-V:

condition 22: component A contains 34% to 37% of at least one compound of formula I-1;

condition 23: component A contains at least two compounds of formula I-1 in which R¹² is C₄-alkoxy;

condition 24: the liquid crystalline medium contains three or more compounds of formula I-1;

condition 25: the liquid crystalline medium contains four or more compounds of formula I-1;

condition 26: the compounds of formula I-3 contain at least one compound of I-3 in which R^11′ is C_3-5 alkyl;

condition 27: Z²¹ to Z²³ are each a single bond.

13. An electro-optical display containing a liquid-crystal medium according to claim 12 wherein condition 1 applies.

14. An electro-optical display containing a liquid-crystal medium according to claim 12 wherein condition 2 applies.

15. An electro-optical display containing a liquid-crystal medium according to claim 12 wherein condition 3 applies.

16. An electro-optical display containing a liquid-crystal medium according to claim 12 wherein condition 4 applies.

17. An electro-optical display containing a liquid-crystal medium according to claim 12 wherein condition 5 applies.

18. An electro-optical display containing a liquid-crystal medium according to claim 12 wherein condition 6 applies.

19. An electro-optical display containing a liquid-crystal medium according to claim 12 wherein condition 7 applies.

20. An electro-optical display containing a liquid-crystal medium according to claim 12 wherein condition 8 applies.

21. An electro-optical display containing a liquid-crystal medium according to claim 12 wherein condition 9 applies.

22. An electro-optical display containing a liquid-crystal medium according to claim 12 wherein condition 10 applies.

23. An electro-optical display containing a liquid-crystal medium according to claim 12 wherein condition 11 applies.

24. An electro-optical display containing a liquid-crystal medium according to claim 12 wherein condition 12 applies.

25. An electro-optical display containing a liquid-crystal medium according to claim 12 wherein condition 13 applies.

26. An electro-optical display containing a liquid-crystal medium according to claim 12 wherein condition 14 applies.

27. An electro-optical display containing a liquid-crystal medium according to claim 12 wherein condition 15 applies.

28. An electro-optical display containing a liquid-crystal medium according to claim 12 wherein condition 16 applies.

29. An electro-optical display containing a liquid-crystal medium according to claim 12 wherein condition 17 applies.

30. An electro-optical display containing a liquid-crystal medium according to claim 12 wherein condition 18 applies.

31. An electro-optical display containing a liquid-crystal medium according to claim 12 wherein condition 19 applies.

32. An electro-optical display containing a liquid-crystal medium according to claim 12 wherein condition 20 applies.

33. An electro-optical display containing a liquid-crystal medium according to claim 12 wherein condition 21 applies.

34. An electro-optical display containing a liquid-crystal medium according to claim 12 wherein condition 22 applies.

35. An electro-optical display containing a liquid-crystal medium according to claim 12 wherein condition 23 applies.

36. An electro-optical display containing a liquid-crystal medium according to claim 12 wherein condition 24 applies.

37. An electro-optical display containing a liquid-crystal medium according to claim 12 wherein condition 25 applies.

38. An electro-optical display containing a liquid-crystal medium according to claim 12 wherein condition 26 applies.

39. An electro-optical display containing a liquid-crystal medium according to claim 12 wherein condition 27 applies.

40. A method for optimizing of the response time of a liquid-crystal display, comprising using in said display a liquid-crystal medium having negative dielectric anisotropy, and having a peak time (t_max) of 0.25 ms or less, which is determined with the aid of equations (1) and (2),

$\mathrm{Equation}\left(1\right)$ $I_{\left({\theta }_b\right)}=\frac{S\left(2{\alpha }_1{\sin }^2{\theta }_b{\cos }^2{\theta }_b-{\gamma }_2\cos 2{\theta }_b+{\gamma }_3\right){\left({\varepsilon }_0\mathrm{\Delta \varepsilon }\sin 2{\theta }_b\right)}^2E_b^3}{\left({\alpha }_1{\gamma }_1+{\gamma }_2^2\right){\sin }^22{\theta }_b-{\gamma }_1^2-{\gamma }_2^2+2{\gamma }_1{\gamma }_3}$ $\mathrm{Equation}\left(2\right)$ $t\left({\theta }_b\right)=\frac{{\beta }_2}{2{\varepsilon }_0\mathrm{\Delta \varepsilon }E_b^2{\beta }_3}\left\{\begin{array}{c}-\ln \left(\frac{\tan {\theta }_b}{\tan {\theta }_0}\right)+\frac{-{\beta }_5+{\gamma }_2\sqrt{{\beta }_1}}{2{\beta }_4\sqrt{{\beta }_1}}\ln \left(\frac{{\beta }_4{\tan }^2{\theta }_b+{\beta }_7+\sqrt{{\beta }_1}}{{\beta }_4{\tan }^2{\theta }_0+{\beta }_7+\sqrt{{\beta }_1}}\right)+\\ \frac{{\beta }_5+{\gamma }_2\sqrt{{\beta }_1}}{2{\beta }_4\sqrt{{\beta }_1}}\ln \left(\frac{{\beta }_4{\tan }^2{\theta }_b+{\beta }_7-\sqrt{{\beta }_1}}{{\beta }_4{\tan }^2{\theta }_0+{\beta }_7-\sqrt{{\beta }_1}}\right)\end{array}\right\}+\frac{{\beta }_6}{2{\varepsilon }_0\mathrm{\Delta \varepsilon }E_b^2\sqrt{{\beta }_1}}\ln \left[\frac{\left({\alpha }_1\cos 2{\theta }_b+{\gamma }_2+\sqrt{{\beta }_1}\right)\left({\alpha }_1\cos 2{\theta }_0+{\gamma }_2-\sqrt{{\beta }_1}\right)}{\left({\alpha }_1\cos 2{\theta }_b+{\gamma }_2-\sqrt{{\beta }_1}\right)\left({\alpha }_1\cos 2{\theta }_0+{\gamma }_2+\sqrt{{\beta }_1}\right)}\right]$

where:

S=electrode area

E_b=U/l (U=90 V and l=22 μm are assumed),

θ₀=bulk tilt angle at time t=0

θ_b=bulk tilt angle

α₁ to α₅=Leslie viscosity coefficients,

β₁=α₁ ²+γ₂ ²+2α₁γ₃,

β₂=γ₁ ²+γ₂ ²−2γ₁γ₃,

β₃=γ₂−γ₃,

β₄=γ₂+γ₃,

β₅=γ₂ ²+α₁γ₃,

β₆=α₁γ₁+γ₂ ²,

β₇=α₁+γ₃

γ₁=−□α₂; (rotational viscosity),

γ₂=α₃−α₂ and

γ₃=α₃+α₄+α₅, wherein

for the Leslie viscosity coefficients, the following assumptions apply

α₁=−10 mPas and

α₃=0 mPas,

in addition, for α₃=0 in accordance with Parodi:

α₄+α₅=−α₂+2η₂

η₂≈ρ*υ

where:

ρ=density of about 1 g/cm³ and

υ=flow viscosity,

wherein

the medium comprises 98% or more of components A and B, and the medium comprises 60-70% of components A,

component A is a dielectrically negative, liquid-crystalline component, which consists of:

33% to 37%, based on the medium, of at least one compound of formula I-1

and 3% to 17%, based on the medium, of at least one compound of formula I-3

in which R^11″ is C_3-7-alkyl, R¹¹′ is C_1-7-alkyl, R^12′ is alkyl having 1 to 7 C atoms, alkoxy having 1 to 7 C atoms, alkenyl or alkenyloxy having 2 to 7 C atoms, where in R^11′ and R^12′ one or more H atoms in all groups may be replaced by halogen atoms,

wherein in at least one compound of formula I-1 R^12′ is C₄-alkoxy,

and the remainder of component A is of one or more dielectrically negative compound(s) of formula I, which are not compounds of formula I-1 or I-3,

in which at least one of

denotes

and the others, if present, in each case, independently of one another, have the same meaning or denote

R¹¹ and R¹², independently of one another, denote alkyl having 1 to 7 C atoms,

L¹¹ and L¹², independently of one another, denote C—F or N,

Z¹¹ and Z¹², in each case independently of one another, denote —CH₂—CH₂—, —C≡C—, —CH═CH—, —CF═CF—, —CF═CH—, —CH═CF—, —CH₂—CF₂—, —CF₂—CH₂—, —CF₂—CF₂—, —CO—O—, —O—CO—, —OCH₂—, —CH₂O—, or a single bond, and

n denotes 0, 1 or 2,

and

component B is a dielectrically neutral, liquid-crystalline component, which consists of one or more dielectrically neutral compound(s) of formula II

in which

R²¹ and R²², in each case independently of one another, are C_1-7-alkyl, C_1-7-alkoxy, or alkoxyalkyl, alkenyl or alkenyloxy having 2-7 cations in which one or more H atoms in all groups may be replaced by halogen atoms,

Z²¹ to Z²³, in each case independently of one another, are —CH₂—CH₂—, —C≡C—, —CH═CH—, —COO— or a single bond,

and

in each case independently of one another, denote

and

p and q, in each case independently of one another, denote 0 or 1;

and wherein one or more of the following conditions apply:

condition 1: the liquid-crystal medium has a value of the quotient of peak time and square of birefringence (t_max/Δn²) of 22 ms or less;

condition 2: the liquid-crystal medium has an average of the dielectric constants in the range from 5.5 or more to 6.5 or less;

condition 3: the liquid-crystal medium has a dielectric anisotropy in the range from −3.0 or less to −4.0 or more;

condition 4: the liquid-crystal medium has a birefringence in the range from 0.070 to 0.110;

condition 5: the liquid crystalline medium comprises 30% to 37% of at least one compound of formula II that is of formula II-1 or II-4

in which

R²¹ and R²², in each case independently of one another, denote alkyl having 1 to 7 C atoms, alkoxy having 1 to 7 C atoms, alkenyl or alkenyloxy having 2 to 7 C atoms, where one or more H atoms in all groups may be replaced by halogen atoms;

condition 6: R^11′ is C_1-3-alkyl;

condition 7: R^11′ is C_2-3-alkyl;

condition 8: R¹¹ is C_3-7-alkyl;

condition 9: I-3 is

and n and m are 2;

condition 10: I-3 is

and n is 3 and m is 2;

condition 11: the compounds of Formula I are compounds of one or more of Formulae I-2, I-4 or 1-5

condition 12: the medium comprises 99% to 100% of components A and B;

condition 13: the concentration of the compounds of formula I-3 is 10% or more;

condition 14: the concentration of the compounds of formula I-3 is 13% or more;

condition 15: the concentration of component A is 65-69%;

condition 16: one or more compounds of formula I are of formula I-2

wherein R¹¹ and R¹², independently of one another, denote alkyl having 1 to 7 C atoms,

which compounds of formula I-2 have a concentration of 20-30%, based on the medium;

condition 17: Z²¹ and Z²³ are each independently —CH₂—CH₂ or a single bond;

condition 18: Z²¹ and Z²³ are single bonds;

condition 19: the one or more compounds of Formula II are of one or more of the following formulae

in which Y¹ is H or F, and R²¹ and R²² are defined as for the compounds of formula II;

condition 20: the concentration of the compounds of formula I-2 is 21% to 25%;

condition 21: the one or more compounds of Formula II contain or are a compound of the formula CC-3-V:

condition 22: component A contains 34% to 37% of at least one compound of formula I-1;

condition 23: component A contains at least two compounds of formula I-1 in which R¹² is C₄-alkoxy;

condition 24: the liquid crystalline medium contains three or more compounds of formula I-1;

condition 25: the liquid crystalline medium contains four or more compounds of formula I-1;

condition 26: the compounds of formula I-3 contain at least one compound of I-3 in which R^11′ is C_3-5 alkyl;

condition 27: Z²¹ to Z²³ are each a single bond.

41. A method for optimizing of the response time of a liquid-crystal display according to claim 40 wherein condition 1 applies.

42. A method for optimizing of the response time of a liquid-crystal display according to claim 40 wherein condition 2 applies.

43. A method for optimizing of the response time of a liquid-crystal display according to claim 40 wherein condition 3 applies.

44. A method for optimizing of the response time of a liquid-crystal display according to claim 40 wherein condition 4 applies.

45. A method for optimizing of the response time of a liquid-crystal display according to claim 40 wherein condition 5 applies.

46. A method for optimizing of the response time of a liquid-crystal display according to claim 40 wherein condition 6 applies.

47. A method for optimizing of the response time of a liquid-crystal display according to claim 40 wherein condition 7 applies.

48. A method for optimizing of the response time of a liquid-crystal display according to claim 40 wherein condition 8 applies.

49. A method for optimizing of the response time of a liquid-crystal display according to claim 40 wherein condition 9 applies.

50. A method for optimizing of the response time of a liquid-crystal display according to claim 40 wherein condition 10 applies.

51. A method for optimizing of the response time of a liquid-crystal display according to claim 40 wherein condition 11 applies.

52. A method for optimizing of the response time of a liquid-crystal display according to claim 40 wherein condition 12 applies.

53. A method for optimizing of the response time of a liquid-crystal display according to claim 40 wherein condition 13 applies.

54. A method for optimizing of the response time of a liquid-crystal display according to claim 40 wherein condition 14 applies.

55. A method for optimizing of the response time of a liquid-crystal display according to claim 40 wherein condition 15 applies.

56. A method for optimizing of the response time of a liquid-crystal display according to claim 40 wherein condition 16 applies.

57. A method for optimizing of the response time of a liquid-crystal display according to claim 40 wherein condition 17 applies.

58. A method for optimizing of the response time of a liquid-crystal display according to claim 40 wherein condition 18 applies.

59. A method for optimizing of the response time of a liquid-crystal display according to claim 40 wherein condition 19 applies.

60. A method for optimizing of the response time of a liquid-crystal display according to claim 40 wherein condition 20 applies.

61. A method for optimizing of the response time of a liquid-crystal display according to claim 40 wherein condition 21 applies.

62. A method for optimizing of the response time of a liquid-crystal display according to claim 40 wherein condition 22 applies.

63. A method for optimizing of the response time of a liquid-crystal display according to claim 40 wherein condition 23 applies.

64. A method for optimizing of the response time of a liquid-crystal display according to claim 40 wherein condition 24 applies.

65. A method for optimizing of the response time of a liquid-crystal display according to claim 40 wherein condition 25 applies.

66. A method for optimizing of the response time of a liquid-crystal display according to claim 40 wherein condition 26 applies.

67. A method for optimizing of the response time of a liquid-crystal display according to claim 40 wherein condition 27 applies.