NOVELTY - Polymers comprising cyclohexylene groups are new.    USE - In a birefringent polymer film; in optical, electronic and electrooptical components and devices such as in optical films, retarders or compensators having negative optical dispersion; in electrooptical displays, liquid crystal devices (LCDs), polarizers, compensators, beam splitters, reflective films, alignment layers, color filters, holographic elements, hot stamping foils, colored images, decorative or security markings, LC pigments, adhesives, non-linear optic (NLO) devices, optical information storage devices, electronic devices, organic semiconductors, organic field effect transistors (OFET), integrated circuits (IC), thin film transistors (TFT), Radio Frequency Identification (RFID) tags, organic light emitting diodes (OLED), organic light emitting transistors (OLET), electroluminescent displays, organic photovoltaic (OPV) devices, organic solar cells (O-SC), organic laser diodes (O-laser), organic integrated circuits (O-IC), lighting devices, sensor devices, electrode materials, photoconductors, photodetectors, electrophotographic recording devices, capacitors, charge injection layers, Schottky diodes, planarizing layers, antistatic films, conducting substrates, conducting patterns, photoconductors, electrophotographic applications, electrophotographic recording, organic memory devices, biosensors, biochips, optoelectronic devices requiring similar phase shift at multiple wavelengths, combined CD/DVD/HD-DVD/Blu-Rays, reading, writing re-writing data storage systems, and cameras, where optically uniaxial film is selected from an A-plate, C-plate, negative C-plate or O-plate, a twisted optical retarder, a twisted quarter wave foil (QWF), an optically biaxial film, an achromatic retarder, an achromatic QWF or half wave foil (HWF), a film having cholesteric, smectic, nematic or blue phase, a film having homeotropic, splayed, tilted, planar or blue-phase alignment, which is uniformly oriented or exhibits a pattern of different orientations (claimed).    ADVANTAGE - The compounds are suitable for the preparation of polymer films with negative optical dispersion; are easy to synthesize; and available at reduces cost, have good processibility and have improved properties such as solubility and thermal properties.    DETAILED DESCRIPTION - Polymers comprising cyclohexylene groups, of formula (I) are new.    k and m=0 or 1;    n=greater than 1;    R1 and R2=1-20C alkylene (preferably 1-12C alkylene) optionally mono- or poly-substituted by F, Cl, Br, I or CN, where at least one non-adjacent CH2 group is optionally replaced by -O-, -S-, -NH-, -NR'-, -SiR'R'a-, -CO-, -CO-O-, -O-CO-, -O-CO-O-, -S-CO-, -CO-S-, -SO2-, -CO-NR'-, -NR'-CO-, -NR'-CO-NR'a-, -CY1=CY2- or -C?=C- in such a manner that O and/or S atoms are not linked directly to one another, or a single bond;    Y1 and Y2=H, F, Cl, CN or R';    R' and R'a=H or 1-12C alkyl;    X1 and X2=a linkage group (preferably selected from -O-, -S-, -CO-, -CO-O-, -O-CO-, -O-CO-O-, -CO-NR'-, -NR'-CO-, -NR'-CO-NR'-, -OCH2-, -CH2O-, -SCH2-, -CH2S-, -CF2O-, -OCF2-, -CF2S-, -SCF2-, -CH2CH2-, -(CH2)n1-, -(CF2)n1-, -CF2CH2-, -CH2CF2-, -CF2CF2-, -CH=CH-, -CY1=CY2-, -CH=N-, -N=CH-, -N=N-, -CH=CR'-, -C?=C-, -CH=CH-CO-O-, -O-CO-CH=CH-, -CR'R'a- or single bond;    n1=1-6;    B1 and B2=bivalent group having high polarizability, preferably selected from -C?=C-, -CY1=CY2-, and/or optionally substituted aromatic or heteroaromatic groups;    U1 and U2=H or a monovalent group of formula (II);    R3 and R4=1-20C alkyl (preferably 1-12C alkyl) optionally mono- or poly-substituted F, Cl, Br, I or CN, where at least one non-adjacent CH2 group is optionally replaced, by -O-, -S-, -NH-, -NR'-, -SiR'R'a-, -CO-, -CO-O-, -O-CO-, -O-CO-O-, -S-CO-, -CO-S-, -SO2-, -CO-NR'-, -NR'-CO-, -NR'-CO-NR'a-, -CY1=CY2- or -C?=C- in such a manner that O and/or S atoms are not linked directly to one another, or a single bond;    X3, X4 and Z1=X1;    o=0-5;    G'=R1 or bivalent group of formula -X5-A1-(Z2-A2)p-X6- (III);    X5 and X6=X1;    A1 and A2=carbocylic, heterocyclic, aromatic or heteroaromatic group (all optionally substituted);    Z2=X1;and    p=0-3.    The k in at least one repeating unit is 1. In compound (II), the asterisk denotes the linkage to the adjacent group B1 or B2. INDEPENDENT CLAIMS are included for the following:    (1) birefringent polymer film comprising the compound (I);    (2) optical, electronic or electrooptical component or device, comprising the compound or polymer film; and    (3) preparation of the compound (I).