US2017088776A1PendingUtilityA1

Liquid crystal medium and electrooptical display containing same

Assignee: MERCK PATENT GMBHPriority: Jul 2, 2004Filed: Dec 12, 2016Published: Mar 30, 2017
Est. expiryJul 2, 2024(expired)· nominal 20-yr term from priority
C09K 19/12C09K 19/44C09K 19/3444C09K 19/02C09K 2019/3422C09K 2019/3016C09K 19/3003C09K 19/3402C09K 2019/3009C09K 19/345C09K 2019/3004G02F 1/1393C09K 19/3001C09K 2019/301C09K 19/3098G02F 2001/13712G02F 1/13G02F 1/13712
58
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Claims

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 /Δn 2 ) of 22 ms or less, and to the use of these liquid-crystal media in liquid-crystal displays, and to these liquid-crystal displays.

Claims

exact text as granted — not AI-modified
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), 
       
         
           
             
               
                   
               
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                       ] 
                     
                   
                 
               
             
           
         
         where: 
         S=electrode area 
         E b =U/l (U=90 V and l=22 μm are assumed), 
         θ 0 =bulk tilt angle at time t=0 
         θ b =bulk tilt angle 
         α 1  to α 5 =Leslie viscosity coefficients, 
         β 1 =α 1   2 +γ 2   2 +2α 1 γ 3 , 
         β 2 =γ 1   2 +γ 2   2 −2γ 1 γ 3 , 
         β 3 =γ 2 −γ 3 , 
         β 4 =γ 2 +γ 3 , 
         β 5 =γ 2   2 +α 1 γ 3 , 
         β 6 =α 1 γ 1 +γ 2   2 , 
         β 7 =α 1 +γ 3    
         γ 1 =−□α 2 ; (rotational viscosity), 
         γ 2 =α 3 −α 2  and 
         γ 3 =α 3 +α 4 +α 5 , wherein 
         for the Leslie viscosity coefficients, the following assumptions apply 
         α 1 =−10 mPas and 
         α 3 =0 mPas, 
         in addition, for α 3 =0 in accordance with Parodi:
   α 4 +α 5 =−α 2 +2η 2  
 
   η 2 ≈ρ*υ
 
 
         where: 
         ρ=density of about 1 g/cm 3  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, R 11 ′ 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 C 4 -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 
       
       
         
           
           
               
               
           
         
         R 11  and R 12 , independently of one another, denote alkyl having 1 to 7 C atoms, 
         L 11  and L 12 , independently of one another, denote C—F or N, 
         Z 11  and Z 12 , in each case independently of one another, denote —CH 2 —CH 2 —, —C≡C—, —CH═CH—, —CF═CF—, —CF═CH—, —CH═CF—, —CH 2 —CF 2 —, —CF 2 —CH 2 —, —CF 2 —CF 2 —, —CO—O—, —O—CO—, —OCH 2 —, —CH 2 O—, 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 
         R 21  and R 22 , 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, 
         Z 21  to Z 23 , in each case independently of one another, are —CH 2 —CH 2 —, —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 /Δn 2 ) 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 
       
       R 21  and R 22 , 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: R 11  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 R 11  and R 12 , 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: Z 21  and Z 23  are each independently —CH 2 —CH 2  or a single bond; 
       condition 18: Z 21  and Z 23  are single bonds; 
       condition 19: the one or more compounds of Formula II are of one or more of the following formulae 
       
         
           
           
               
               
           
         
       
       in which Y 1  is H or F, and R 21  and R 22  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 R 12  is C 4 -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: Z 21  to Z 23  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), 
       
         
           
             
               
                   
               
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                                   β 
                                   5 
                                 
                                 + 
                                 
                                   
                                     γ 
                                     2 
                                   
                                    
                                   
                                     
                                       β 
                                       1 
                                     
                                   
                                 
                               
                               
                                 2 
                                  
                                 
                                   β 
                                   4 
                                 
                                  
                                 
                                   
                                     β 
                                     1 
                                   
                                 
                               
                             
                              
                             
                               ln 
                                
                               
                                 ( 
                                 
                                   
                                     
                                       
                                         β 
                                         4 
                                       
                                        
                                       
                                         tan 
                                         2 
                                       
                                        
                                       
                                         θ 
                                         b 
                                       
                                     
                                     + 
                                     
                                       β 
                                       7 
                                     
                                     - 
                                     
                                       
                                         β 
                                         1 
                                       
                                     
                                   
                                   
                                     
                                       
                                         β 
                                         4 
                                       
                                        
                                       
                                         tan 
                                         2 
                                       
                                        
                                       
                                         θ 
                                         0 
                                       
                                     
                                     + 
                                     
                                       β 
                                       7 
                                     
                                     - 
                                     
                                       
                                         β 
                                         1 
                                       
                                     
                                   
                                 
                                 ) 
                               
                             
                           
                         
                       
                     
                     } 
                   
                 
                 + 
                 
                   
                     
                       β 
                       6 
                     
                     
                       2 
                        
                       
                         ɛ 
                         0 
                       
                        
                       Δɛ 
                        
                       
                           
                       
                        
                       
                         E 
                         b 
                         2 
                       
                        
                       
                         
                           β 
                           1 
                         
                       
                     
                   
                    
                   
                     ln 
                      
                     
                       [ 
                       
                         
                           
                             ( 
                             
                               
                                 
                                   α 
                                   1 
                                 
                                  
                                 cos 
                                  
                                 
                                     
                                 
                                  
                                 2 
                                  
                                 
                                   θ 
                                   b 
                                 
                               
                               + 
                               
                                 γ 
                                 2 
                               
                               + 
                               
                                 
                                   β 
                                   1 
                                 
                               
                             
                             ) 
                           
                            
                           
                             ( 
                             
                               
                                 
                                   α 
                                   1 
                                 
                                  
                                 cos 
                                  
                                 
                                     
                                 
                                  
                                 2 
                                  
                                 
                                   θ 
                                   0 
                                 
                               
                               + 
                               
                                 γ 
                                 2 
                               
                               - 
                               
                                 
                                   β 
                                   1 
                                 
                               
                             
                             ) 
                           
                         
                         
                           
                             ( 
                             
                               
                                 
                                   α 
                                   1 
                                 
                                  
                                 cos 
                                  
                                 
                                     
                                 
                                  
                                 2 
                                  
                                 
                                   θ 
                                   b 
                                 
                               
                               + 
                               
                                 γ 
                                 2 
                               
                               - 
                               
                                 
                                   β 
                                   1 
                                 
                               
                             
                             ) 
                           
                            
                           
                             ( 
                             
                               
                                 
                                   α 
                                   1 
                                 
                                  
                                 cos 
                                  
                                 
                                     
                                 
                                  
                                 2 
                                  
                                 
                                   θ 
                                   0 
                                 
                               
                               + 
                               
                                 γ 
                                 2 
                               
                               + 
                               
                                 
                                   β 
                                   1 
                                 
                               
                             
                             ) 
                           
                         
                       
                       ] 
                     
                   
                 
               
             
           
         
         where: 
         S=electrode area 
         E b =U/l (U=90 V and l=22 μm are assumed), 
         θ 0 =bulk tilt angle at time t=0 
         θ b =bulk tilt angle 
         α 1  to α 5 =Leslie viscosity coefficients, 
         β 1 =α 1   2 +γ 2   2 +2α 1 γ 3 , 
         β 2 =γ 1   2 +γ 2   2 −2γ 1 γ 3 , 
         β 3 =γ 2 −γ 3 , 
         β 4 =γ 2 +γ 3 , 
         β 5 =γ 2   2 +α 1 γ 3 , 
         β 6 =α 1 γ 1 +γ 2   2 , 
         β 7 =α 1 +γ 3    
         γ 1 =−□α 2 ; (rotational viscosity), 
         γ 2 =α 3 −α 2  and 
         γ 3 =α 3 +α 4 +α 5 , wherein 
         for the Leslie viscosity coefficients, the following assumptions apply 
         α 1 =−10 mPas and 
         α 3 =0 mPas, 
         in addition, for α 3 =0 in accordance with Parodi:
   α 4 +α 5 =−α 2 +2η 2  
 
   η 2 ≈ρ*υ
 
 
         where: 
         ρ=density of about 1 g/cm 3  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, R 11 ′ 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 C 4 -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 
       
       
         
           
           
               
               
           
         
         R 11  and R 12 , independently of one another, denote alkyl having 1 to 7 C atoms, 
         L 11  and L 12 , independently of one another, denote C—F or N, 
         Z 11  and Z 12 , in each case independently of one another, denote —CH 2 —CH 2 —, —C≡C—, —CH═CH—, —CF═CF—, —CF═CH—, —CH═CF—, —CH 2 —CF 2 —, —CF 2 —CH 2 —, —CF 2 —CF 2 —, —CO—O—, —O—CO—, —OCH 2 —, —CH 2 O—, 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 
         R 21  and R 22 , 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, 
         Z 21  to Z 23 , in each case independently of one another, are —CH 2 —CH 2 —, —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 /Δn 2 ) 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 
       
       R 21  and R 22 , 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: R 11  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 R 11  and R 12 , 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: Z 21  and Z 23  are each independently —CH 2 —CH 2  or a single bond; 
       condition 18: Z 21  and Z 23  are single bonds; 
       condition 19: the one or more compounds of Formula II are of one or more of the following formulae 
       
         
           
           
               
               
           
         
       
       in which Y 1  is H or F, and R 21  and R 22  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 R 12  is C 4 -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: Z 21  to Z 23  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.

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