US20130184380A1 - Transparent Substrate - Google Patents

Transparent Substrate Download PDF

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Publication number
US20130184380A1
US20130184380A1 US13/784,123 US201313784123A US2013184380A1 US 20130184380 A1 US20130184380 A1 US 20130184380A1 US 201313784123 A US201313784123 A US 201313784123A US 2013184380 A1 US2013184380 A1 US 2013184380A1
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Prior art keywords
transparent substrate
cellulose
cellulose fiber
oxidation
substrate according
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US13/784,123
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English (en)
Inventor
Kosuke Shimizu
Yumiko Oomori
Mizuhiro Tani
Akiko Saiki
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Toppan Inc
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Toppan Printing Co Ltd
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Assigned to TOPPAN PRINTING CO., LTD. reassignment TOPPAN PRINTING CO., LTD. ASSIGNMENT OF ASSIGNORS INTEREST (SEE DOCUMENT FOR DETAILS). Assignors: OOMORI, YUMIKO, TANI, MIZUHIRO, SAIKI, AKIKO, SHIMIZU, KOSUKE
Publication of US20130184380A1 publication Critical patent/US20130184380A1/en
Priority to US14/257,842 priority Critical patent/US9388301B2/en
Abandoned legal-status Critical Current

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    • CCHEMISTRY; METALLURGY
    • C09DYES; PAINTS; POLISHES; NATURAL RESINS; ADHESIVES; COMPOSITIONS NOT OTHERWISE PROVIDED FOR; APPLICATIONS OF MATERIALS NOT OTHERWISE PROVIDED FOR
    • C09DCOATING COMPOSITIONS, e.g. PAINTS, VARNISHES OR LACQUERS; FILLING PASTES; CHEMICAL PAINT OR INK REMOVERS; INKS; CORRECTING FLUIDS; WOODSTAINS; PASTES OR SOLIDS FOR COLOURING OR PRINTING; USE OF MATERIALS THEREFOR
    • C09D101/00Coating compositions based on cellulose, modified cellulose, or cellulose derivatives
    • C09D101/08Cellulose derivatives
    • CCHEMISTRY; METALLURGY
    • C08ORGANIC MACROMOLECULAR COMPOUNDS; THEIR PREPARATION OR CHEMICAL WORKING-UP; COMPOSITIONS BASED THEREON
    • C08LCOMPOSITIONS OF MACROMOLECULAR COMPOUNDS
    • C08L1/00Compositions of cellulose, modified cellulose or cellulose derivatives
    • C08L1/08Cellulose derivatives
    • C08L1/10Esters of organic acids, i.e. acylates
    • CCHEMISTRY; METALLURGY
    • C08ORGANIC MACROMOLECULAR COMPOUNDS; THEIR PREPARATION OR CHEMICAL WORKING-UP; COMPOSITIONS BASED THEREON
    • C08BPOLYSACCHARIDES; DERIVATIVES THEREOF
    • C08B15/00Preparation of other cellulose derivatives or modified cellulose, e.g. complexes
    • C08B15/02Oxycellulose; Hydrocellulose; Cellulosehydrate, e.g. microcrystalline cellulose
    • CCHEMISTRY; METALLURGY
    • C08ORGANIC MACROMOLECULAR COMPOUNDS; THEIR PREPARATION OR CHEMICAL WORKING-UP; COMPOSITIONS BASED THEREON
    • C08BPOLYSACCHARIDES; DERIVATIVES THEREOF
    • C08B15/00Preparation of other cellulose derivatives or modified cellulose, e.g. complexes
    • C08B15/02Oxycellulose; Hydrocellulose; Cellulosehydrate, e.g. microcrystalline cellulose
    • C08B15/04Carboxycellulose, e.g. prepared by oxidation with nitrogen dioxide
    • CCHEMISTRY; METALLURGY
    • C08ORGANIC MACROMOLECULAR COMPOUNDS; THEIR PREPARATION OR CHEMICAL WORKING-UP; COMPOSITIONS BASED THEREON
    • C08BPOLYSACCHARIDES; DERIVATIVES THEREOF
    • C08B15/00Preparation of other cellulose derivatives or modified cellulose, e.g. complexes
    • C08B15/05Derivatives containing elements other than carbon, hydrogen, oxygen, halogens or sulfur
    • C08B15/06Derivatives containing elements other than carbon, hydrogen, oxygen, halogens or sulfur containing nitrogen, e.g. carbamates
    • CCHEMISTRY; METALLURGY
    • C08ORGANIC MACROMOLECULAR COMPOUNDS; THEIR PREPARATION OR CHEMICAL WORKING-UP; COMPOSITIONS BASED THEREON
    • C08JWORKING-UP; GENERAL PROCESSES OF COMPOUNDING; AFTER-TREATMENT NOT COVERED BY SUBCLASSES C08B, C08C, C08F, C08G or C08H
    • C08J5/00Manufacture of articles or shaped materials containing macromolecular substances
    • C08J5/18Manufacture of films or sheets
    • CCHEMISTRY; METALLURGY
    • C08ORGANIC MACROMOLECULAR COMPOUNDS; THEIR PREPARATION OR CHEMICAL WORKING-UP; COMPOSITIONS BASED THEREON
    • C08KUse of inorganic or non-macromolecular organic substances as compounding ingredients
    • C08K5/00Use of organic ingredients
    • C08K5/0008Organic ingredients according to more than one of the "one dot" groups of C08K5/01 - C08K5/59
    • C08K5/005Stabilisers against oxidation, heat, light, ozone
    • CCHEMISTRY; METALLURGY
    • C08ORGANIC MACROMOLECULAR COMPOUNDS; THEIR PREPARATION OR CHEMICAL WORKING-UP; COMPOSITIONS BASED THEREON
    • C08KUse of inorganic or non-macromolecular organic substances as compounding ingredients
    • C08K5/00Use of organic ingredients
    • C08K5/49Phosphorus-containing compounds
    • C08K5/51Phosphorus bound to oxygen
    • C08K5/52Phosphorus bound to oxygen only
    • C08K5/521Esters of phosphoric acids, e.g. of H3PO4
    • C08K5/523Esters of phosphoric acids, e.g. of H3PO4 with hydroxyaryl compounds
    • CCHEMISTRY; METALLURGY
    • C08ORGANIC MACROMOLECULAR COMPOUNDS; THEIR PREPARATION OR CHEMICAL WORKING-UP; COMPOSITIONS BASED THEREON
    • C08LCOMPOSITIONS OF MACROMOLECULAR COMPOUNDS
    • C08L1/00Compositions of cellulose, modified cellulose or cellulose derivatives
    • C08L1/08Cellulose derivatives
    • G02B1/105
    • GPHYSICS
    • G02OPTICS
    • G02BOPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B1/00Optical elements characterised by the material of which they are made; Optical coatings for optical elements
    • G02B1/10Optical coatings produced by application to, or surface treatment of, optical elements
    • G02B1/14Protective coatings, e.g. hard coatings
    • GPHYSICS
    • G02OPTICS
    • G02BOPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B1/00Optical elements characterised by the material of which they are made; Optical coatings for optical elements
    • G02B1/10Optical coatings produced by application to, or surface treatment of, optical elements
    • G02B1/18Coatings for keeping optical surfaces clean, e.g. hydrophobic or photo-catalytic films
    • GPHYSICS
    • G02OPTICS
    • G02BOPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B5/00Optical elements other than lenses
    • G02B5/30Polarising elements
    • CCHEMISTRY; METALLURGY
    • C08ORGANIC MACROMOLECULAR COMPOUNDS; THEIR PREPARATION OR CHEMICAL WORKING-UP; COMPOSITIONS BASED THEREON
    • C08JWORKING-UP; GENERAL PROCESSES OF COMPOUNDING; AFTER-TREATMENT NOT COVERED BY SUBCLASSES C08B, C08C, C08F, C08G or C08H
    • C08J2301/00Characterised by the use of cellulose, modified cellulose or cellulose derivatives
    • C08J2301/04Oxycellulose; Hydrocellulose
    • GPHYSICS
    • G02OPTICS
    • G02BOPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B5/00Optical elements other than lenses
    • G02B5/30Polarising elements
    • G02B5/3025Polarisers, i.e. arrangements capable of producing a definite output polarisation state from an unpolarised input state
    • G02B5/3033Polarisers, i.e. arrangements capable of producing a definite output polarisation state from an unpolarised input state in the form of a thin sheet or foil, e.g. Polaroid

Definitions

  • the present invention relates to a transparent substrate which includes a natural stuff. More specifically, the present invention relates to a transparent substrate which includes a cellulose fiber having a substituted group.
  • Patent document 1 JP-A-2010-116477.
  • the formed articles manufactured by a conventional forming method In the case where the formed articles manufactured by a conventional forming method is employed in a practical product, however, there are problems of insufficient transparency, discoloration by heat, low water resistance that causes swelling with water when immersed or dipped in water, dimensional instability when left in an air because of moisture absorption, and large variations in physical properties due to water absorption.
  • the formed article manufactured by a conventional forming method lacks sufficient stability for use as a transparent substrate. In particular, the formed article has not had sufficient durability to be used as a transparent substrate of a protection film for a polarizing plate etc. It has been inevitable to find and establish some new forming processes for solving these problems.
  • the present invention solves the above problems.
  • the present invention provides a transparent substrate which is obtained by effectively using a natural stuff and which concurrently has a low linear expansion coefficient, a high light transmittance, an appropriate level of moisture permeability, high robustness, few variations in characteristics, and water resistance.
  • a first aspect of the present invention is a transparent substrate including a polysaccharide, the polysaccharide being oxidized and the transparent substrate having a linear expansion coefficient of 50 ppm/° C. or less at a temperature in the range of 30-150° C. and 70% or higher of light transmittance at 660 nm.
  • a second aspect of the present invention is the transparent substrate according to the first aspect of the present invention, further including a polymer having a plurality of functional groups in a single molecule, and wherein the functional groups are one or both of an oxazoline group and an isocyanate group.
  • a third aspect of the present invention is the transparent substrate according to the second aspect of the present invention, wherein the polysaccharide is a cellulose fiber having a crystal structure of cellulose I, and wherein the cellulose fiber has a fiber width in the range of 1 nm to 200 nm.
  • a fourth aspect of the present invention is the transparent substrate according to the third aspect of the present invention, wherein an aldehyde group amount contained in the cellulose fiber is 0.2 mmol/g or less.
  • a fifth aspect of the present invention is the transparent substrate according to the fourth aspect of the present invention, wherein a carboxy group amount contained in the cellulose fiber is in the range of 0.1-2.5 mmol/g.
  • a sixth aspect of the present invention is the transparent substrate according to the fifth aspect of the present invention, wherein the cellulose fiber has a degree of polymerization in the range of 100-1000.
  • a seventh aspect of the present invention is the transparent substrate according to the fifth aspect of the present invention, wherein the transparent substrate contains the cellulose fiber at a ratio in the range of 1-99.9%.
  • an eighth aspect of the present invention is the transparent substrate according to the fifth aspect of the present invention, further including a UV absorber, a degradation inhibitor and a hydrophobic additive other than said cellulose fiber.
  • a ninth aspect of the present invention is the transparent substrate according to the first aspect of the present invention, wherein a light transmittance of said transparent substrate at 450 nm after heating at 100° C. for 3 hours is 70% or more.
  • a tenth aspect of the present invention is the transparent substrate according to the first aspect of the present invention, wherein the transparent substrate has a moisture permeability of 1-99 g/m 2 /24 hr.
  • an eleventh aspect of the present invention is the transparent substrate according to the second aspect of the present invention, wherein a YI value of the transparent substrate after heating at 150° C. for 1.5 hours is 2 or less.
  • a twelfth aspect of the present invention is the transparent substrate according to the second aspect of the present invention, wherein water absorption of the transparent substrate after immersing in water for an hour is 50% or less with respect to the transparent substrate.
  • a thirteenth aspect of the present invention is the transparent substrate according to the fifth aspect of the present invention, wherein the transparent substrate has a thickness in the range of 10-200 ⁇ m.
  • a fourteenth aspect of the present invention is a protection film for a polarizing plate including the transparent substrate according to the fifth aspect of the present invention.
  • a fifteenth aspect of the present invention is a manufacturing method of transparent substrate including an oxidation process in which cellulose in water is oxidized with 2,2,6,6-tetramethyl-1-piperidine-N-oxyl or its derivative as a catalyst under the presence of a co-oxidant to obtain oxidized cellulose, a fiberizing process in which the oxidized cellulose is fiberized in water to obtain a cellulose fiber, and a substrate-forming process in which a transparent substrate is formed using a cellulose dispersion liquid which contains the cellulose fiber.
  • a sixteenth aspect of the present invention is the manufacturing method of a transparent substrate according to the fifteenth aspect of the present invention, further including a preparation process in which the cellulose dispersion liquid is prepared by blending the cellulose fiber with a polymer having a plurality of functional groups in a single molecule wherein the functional groups are at least one selected from an oxazoline group and an isocyanate group after the fiberizing process and before the substrate-forming process.
  • a seventeenth aspect of the present invention is the manufacturing method of a transparent substrate according to the sixteenth aspect of the present invention, wherein the cellulose dispersion liquid is prepared by blending the cellulose fiber with the polymer at a pH in the range of 3 to 6 in the preparation process.
  • an eighteenth aspect of the present invention is the manufacturing method of a transparent substrate according to the seventeenth aspect of the present invention, further including a heating process in which the transparent substrate receives a heat treatment after the substrate-forming process.
  • the present invention provides a transparent substrate which is obtained by effectively using a natural stuff and which hardly discolors with heat and has a low linear expansion coefficient, a high light transmittance and an appropriate level of moisture permeability.
  • the present invention provides a transparent substrate which is robust and water-resistant, and has few variations in characteristics.
  • Celluloses and polysaccharides such as chitin and chitosan, which exist, for example, in exoskeletons of crustaceans (such as crabs and shrimps etc.) and insects (such as beetles and crickets etc.) as well as in fungi and cell walls, can be used as the natural stuff or natural material in the present invention.
  • the natural stuff is a cellulose
  • the cellulose there is no particular limitation to the cellulose as the raw material.
  • Various kinds of wood or non-wood pulps, microbially-fabricated celluloses, Valonia cellulose, sea squirt cellulose, regenerated celluloses such as rayon etc. can be used as the cellulose.
  • pulping method, purifying method and bleaching method etc. it is preferable that highly-purified cellulose such as a dissolving pulp or a bleached pulp etc. is used in order to control a reaction and to improve purity and reproducibility.
  • powdery substances which are grinded or pulverized by a high pressure homogenizer, frost shattering, a mill or a grindstone etc. and to use fine celluloses which are purified by a chemical treatment such as hydrolysis, various commercially-available cellulose powders and microcrystalline cellulose powders.
  • Natural cellulose forms a cellulose nanofiber having a highly crystalline structure and a length in the range of a few nanometers to hundreds of nanometers owing to a synthesis by cellulose synthase and a self-organization in a broad sense.
  • a cellulose fiber is formed in such a way that these cellulose nanofibers are rolled up together orienting in various directions.
  • a natural cellulose inherently has crystallinity of 70% or more. It is possible to obtain a cellulose fiber with a highly crystalline structure by fiberizing a natural cellulose such as pulp, cotton and bacterial cellulose etc. to a structural level as close to a cellulose nanofiber as possible without destroying the crystalline structure.
  • a method in which firstly an oxidation treatment efficiently introducing a carboxy group onto a crystalline surface of a pulp is performed and subsequently a physical fiberization treatment is performed to the resultant hydroscopic product, and a method in which a fiberization by a high pressure homogenizer or a jet mill etc. is performed without any chemical pretreatment can be specifically used.
  • the cellulose fiber produced by fiberizing natural cellulose can preferably be used in terms of high transparency because a dense film can be formed due to hydrogen bonds between hydroxyl groups and/or carboxy groups of the cellulose fibers.
  • the examples described below are only examples of controlling an amount of aldehyde group, an amount of carboxy group and a degree of polymerization etc. in the cellulose fiber of the present invention, and thus the scope of the present application is not limited to these.
  • the method for introducing a carboxy group into the cellulose fiber is a method in which the reaction of introducing the carboxy group proceeds leaving the crystal structure of the cellulose fiber unchanged.
  • a method of oxidizing cellulose with a co-oxidant under the presence of an N-oxyl compound is an example of an oxidation method which is able to efficiently introduce a carboxy group onto a surface of the cellulose fiber and which is carried out in an aqueous system.
  • N-oxyl compound an oxo-ammonium salt
  • 2,2,6,6-tetramethyl-1-piperidine-N-oxyl hereinafter, referred to as “TEMPO”
  • TEMPO 2,2,6,6-tetramethyl-1-piperidine-N-oxyl
  • this oxidation reaction is performed under the co-presence of the N-oxyl compound and a bromide or an iodide.
  • a bromide or iodide which disassociates to ions in water for example, an alkali metal bromide and an alkali metal iodide etc. can be used as the bromide or iodide.
  • Any oxidant such as halogens, hypohalous acids, halous acids, perhalogen acids (such as perchloric acid and periodic acid etc.), their salts, halogen oxides, nitrogen oxides and peroxides etc. can be used as the co-oxidant as long as the oxidant promotes the targeted oxidation reaction.
  • hydroxyl groups bonded to the sixth carbons in the cellulose chain are selectively oxidized so that glucoses in the cellulose chain are transformed into glucuronic acids. Since only a catalyst quantity of N-oxyl is required, for example, 10 ppm to 2% by weight (with respect to the cellulose fiber) of N-oxyl is sufficient for this method.
  • the oxidation condition should be optimized according to desirable shapes required for the cellulose fiber and facilities available for the oxidation reaction, it is advantageous for significantly improving an efficiency of carboxy group introduction to perform the oxidation reaction under the presence of a bromide or an iodide because then the reaction proceeds smoothly even under a moderate condition.
  • a bromide and/or an iodide may be added if necessary.
  • the amount(s) of the bromide and/or the iodide can be appropriately selected so as to promote the oxidation.
  • the amount is in the range from 100 ppm to 20% with respect to an amount of the cellulose fiber.
  • TEMPO as the N-oxyl and sodium hypochlorite as the co-oxidant are used under the presence of sodium bromide in the oxidation reaction system of the cellulose fiber of the present invention.
  • the reaction is carried out at a temperature as low as possible under a room temperature unless the reaction system is frozen for the purpose of preventing an occurrence of side reactions and improving selectivity of the oxidation to the crystal surface of the cellulose fiber. It is possible to prevent side reactions such as oxidation of the inner crystal of the cellulose fiber if the temperature is the range of 0-30° C., or more preferably 5-20° C.
  • the oxidation reaction of the cellulose fiber is performed at a pH in the range of 9 to 11 in terms of reaction efficiency.
  • the oxidized cellulose fiber can become a stable fine fiber.
  • the cellulose fiber is that of a wood pulp or a cotton pulp
  • a stable cellulose nanofiber can be obtained if the carboxy group amount with respect to a weight of the cellulose fiber is in the range of 0.1-2.5 mmol/g, or preferably in the range of 1.3-2.5 mmol/g.
  • the cellulose fiber contains the above amount of carboxy group and is easily fiberized and structurally refined, a highly transparent substrate can be obtained.
  • the cellulose fiber when the cellulose fiber is oxidized by the above method, not only the carboxy group but also an aldehyde group is introduced.
  • the aldehyde group may inhibit fiberizing the cellulose fiber into nanofibers and/or encourage the cellulose fiber to discolor.
  • the cellulose fiber having the aldehyde group which is introduced by this method is severely discolored since not only the aldehyde itself can be discolored by heat, light or alkali etc. but also a double bond can be introduced by various decompositions such as ⁇ -hydrogen elimination etc. and/or cross-linking reactions can occur.
  • the discolored cellulose fiber or the resultant transparent substrate has a low light transmittance and loses transparency.
  • the cellulose fiber does not effectively transmit light and cannot be used as a transparent substrate.
  • the transmittance is 90% or more
  • the cellulose fiber can be used as a transparent substrate having a high level of transparency which can be used as a display component.
  • the upper limit of the light transmittance since a substrate with higher transparency is obtained as the transmittance increases.
  • a method in which sodium chlorite is used as an oxidant and the cellulose fiber is further oxidized makes it possible to remove the aldehyde group in the cellulose fiber.
  • the aldehyde group which is introduced once in the cellulose fiber is further transformed into a carboxy group.
  • sodium chlorite is used as the oxidant to the oxidized cellulose fiber.
  • sodium chlorite it is possible to selectively oxidize the aldehyde group, which is created by oxidizing a hydroxyl group, to further convert into the carboxy group.
  • this reaction is performed at a temperature preferably in the range of 0-30° C., more preferably in the range of 5-25° C.
  • reaction system of this second oxidation has a pH of about 4 in terms of reaction efficiency, and acetic acid is preferably used for the pH adjustment.
  • a method of performing oxidation in water containing sodium chlorite under the presence of 4-acetoamide TEMPO as a catalyst in a weakly acidic to neutral condition preferably at a pH of 4-7 should be noted.
  • a method of using hypochlorous acid or a hypochlorite such as sodium hypochlorite etc. as a co-oxidant has been known as a TEMPO oxidation.
  • hypochlorous acid or a hypochlorite since an aldehyde group is created as an intermediate in the cellulose molecule, the cellulose may be discolored when heated.
  • chlorous acid or its salts is an oxidant which can oxidize an aldehyde group
  • the created aldehyde group is rapidly transformed into a carboxy group and the aldehyde group is removed from the cellulose molecule.
  • oxidized celluloses having a large molecular weight can provide a film (or a coated film) with a high level of flexibility due to tangles of molecules because their in-plane orientation in one direction is restricted and results in a low coefficient of elasticity.
  • Chemicals which are used for the TEMPO oxidation can be easily obtained commercially. It is preferable that the oxidation reaction is performed at a temperature in the range of 0-60° C. Then, it takes about 3-72 hours to introduce a sufficient amount of carboxy groups into the cellulose to transform the cellulose into fine fibers and to provide dispersibility. Incidentally, a hypohalous acid or its salts can be added to raise the rate of the reaction. It is preferable, however, that its additive amount is at most stoichiometrically about 1.1 with respect to the catalyst since the aldehyde group is easily created if the additive amount is excessively large.
  • the oxidation reaction is terminated by adding an excessive amount of another alcohol to completely consume the co-oxidant in the reaction system.
  • an alcohol with a low molecular weight such as methanol, ethanol and propanol etc. is used as the alcohol which is added to the reaction system on this occasion in terms of a prompt termination.
  • ethanol is desirable considering safety and resultant bi-products by the oxidation.
  • the quantity of the aldehyde group contained in the oxidized cellulose fiber can be estimated by total reflection infrared photo spectrometry because no peaks derived from an aldehyde group at wavelengths of 1720 cm ⁇ 1 and 900 cm ⁇ 1 are detected in a total reflection infrared photo spectrum of the transparent substrate.
  • the fewer aldehyde groups the cellulose fiber contains, the more desirable film which is hardly discolored (or yellowed) and can be suitably used as a transparent substrate is provided.
  • the cellulose fiber is hardly discolored to provide a stable transparent substrate if it contains 0.20 mmol/g or less, preferably 0.03 mmol/g or less, of aldehyde groups with respect to a weight of the cellulose.
  • a cellulose fiber with 0 mmol/g of an aldehyde group is the most desirable since the transparent substrate becomes better as fewer aldehyde groups are contained.
  • a transparent substrate of a cellulose fiber with 0.03 mmol/g or more of aldehyde groups changes in appearance to a yellowish color by heating at 100° C. for 3 hours or heating at 150° C. for 1.5 hours. This seems to be because the celluloses are liable to produce intermolecular and/or intramolecular cross-linkings which are three-dimensionally formed and/or because decomposition reactions easily proceed when aldehyde groups are contained in the cellulose. Incidentally, this change in color can be numerically confirmed by calculating a YI value from a light transmittance. It is preferable that the transparent substrate of the present invention after heating at 100° C. for 3 hours or heating at 150° C. for 1.5 hours has a YI value of 2 or less. If the YI is in the above range, the change in color of the transparent substrate by heating can be regarded as light.
  • the aldehyde groups introduced into the cellulose fiber can also be removed by reduction. It is possible to transform the aldehyde group into a hydroxyl group by reduction by reacting sodium borohydride to the cellulose fiber.
  • a cellulose dispersion liquid of the present invention it is possible to obtain a cellulose dispersion liquid of further finer and improved fibrous fine cellulose by further performing a fiberizing treatment to the oxidized cellulose after the oxidation. It is possible to use a normal juicer-mixer, a Henschel mixer, a high-speed mixer, a share mixer, a ribbon blender, a homo-mixer, a homogenizer, a high-pressure homogenizer, an ultrahigh-pressure homogenizer, an ultrasonic homogenizer, a ball mill, a sand mill, a planetary mill, a triple roll, a grinder, an attritor and a basket mill etc. for the fiberizing treatment.
  • a normal juicer-mixer a Henschel mixer, a high-speed mixer, a share mixer, a ribbon blender, a homo-mixer, a homogenizer, a high-pressure homogenizer, an ultrahigh-pressure homogenizer, an ultrasonic homogenizer,
  • the above cellulose fiber is dipped or immersed in an aqueous medium as a dispersant.
  • the liquid in which the cellulose fiber is dipped or immersed shows a pH, for example, of 4 or lower.
  • a pH for example, of 4 or lower.
  • the pH of the slurry is adjusted to a value in the range of 4 to 12 with an alkali.
  • the pH is particularly adjusted to an alkaline value in the range of 7 to 12 to form a carboxylate salt.
  • Cellulose nanofiber dispersion liquid can be efficiently obtained by performing the above fiberizing treatment under this condition.
  • the dispersion liquid has a transmittance of 90% or more when measured by a spectral photometer at a wavelength of 660 nm under the condition of a 1 cm light path.
  • the cellulose fiber becomes fine by the fiberizing treatment, and a cellulose nanofiber is obtained. It is preferable that the cellulose nanofiber after the fiberizing treatment has a number average fiber diameter (fiber width in a short axis direction) of 50 nm or less.
  • the fiberizing treatment is performed at a low temperature because the cellulose fiber is discolored with heat due to an occurrence of intermolecular or intramolecular cross-linkings and decompositions.
  • this discoloration which is accompanied with the reactions of the cross-linking and decomposition, robustness in a formed article made of the cellulose fiber tends to degrade as the molecular weight of the cellulose fiber decreases.
  • a dispersion liquid with a solid content rate of 1% having 2000 mPa ⁇ s or less of viscosity (shear rate: 10 s ⁇ 1 ) at 25° C. can be obtained when the cellulose fiber has a low molecular weight and the tangles among the cellulose fibers, which are dispersoid, are looser. In this way, it is possible to increase the solid content rate in the dispersion liquid while its viscosity is still kept low.
  • the dispersion liquid has low viscosity, workability is improved so that a transparent substrate with a uniform thickness, which serves to prevent unevenness in transmittance and/or refractivity, can be easily obtained.
  • Sodium hydroxide, ammonia and tetraalkylammonium hydroxide etc. can be used as the alkali which is used for the pH adjustment in the fiberizing treatment.
  • a relatively dense film can be formed if sodium hydroxide is used.
  • a reaction of the aldehyde group contained in the cellulose fiber causes the discoloration, it is possible to prevent this discoloration by using sodium hydroxide since it hardly reacts with aldehyde.
  • the cellulose fiber obtained in the above method has a crystal structure of cellulose I. It is preferable that a transparent substrate of the present invention contains a cellulose fiber having a crystal structure of cellulose I and a fiber diameter in the range of 1-200 nm. In the case where the fiber diameter is the above range, a good and uniform film can be formed.
  • the molecular weight of the cellulose fiber influences transparency, discoloration, robustness and workability, as is previously mentioned, has its most desirable range, specifically, in the range of 100-1000 in terms of degree of polymerization. If the cellulose fiber has a degree of polymerization higher than 1000, it is impossible to ensure transparency and workability. On the other hand, if the cellulose fiber has a degree of polymerization lower than 100, it is impossible to retain mechanical strength.
  • an additive or a compound having a reactive functional group such as amino group, epoxy group, hydroxyl group, carbodiimide group, oxazoline group, polyethylenimine, isocyanate, epichlorohydrin, formaldehyde, glutaraldehyde and diepoxy-alkane etc. is added to the dispersion liquid containing the cellulose fiber.
  • a reactive functional group such as amino group, epoxy group, hydroxyl group, carbodiimide group, oxazoline group, polyethylenimine, isocyanate, epichlorohydrin, formaldehyde, glutaraldehyde and diepoxy-alkane etc.
  • Such an additive or a compound reacts with a hydroxyl group, carboxyl group or aldehyde group in the oxidized cellulose and provides an effect that a coat with various characteristics, particularly strength, waterproofness or moisture resistance, or adhesiveness to a layer arranged adjacent to the transparent substrate such as polarizer etc. is formed.
  • the cellulose fiber insoluble to water in which it is immersed by adding a polymer having a carbodiimide group as a cross-linking agent to the dispersion liquid of the cellulose fiber.
  • a polymer having a carbodiimide group as a cross-linking agent
  • a usage of a volatile base such as ammonia etc. may be effective since the reaction rapidly proceeds. This is because cellulose hardly reacts with the cross-linking agent when its carboxy group forms a salt at a high pH. If a base such as ammonia etc. is used, the pH value decreases as it vaporizes. Then, the carboxy group hardly forms a salt and the reaction easily proceeds.
  • a quantity of the reactive functional group mentioned above is stoichiometrically in the range of 0.01 to 5 with respect to the carboxy group, and in the range of 0.1 to 3 is more preferable. If the quantity is smaller than 0.01 with respect to the carboxy group in the cellulose, the effect of the additive is not achieved due to an insufficiency in crosslink density, and thus only a film which easily absorbs water is formed. It is not preferable if the quantity is greater than 5 because of a disadvantage in terms of costs and/or a problem that the formed film becomes brittle and easily cracks.
  • a pH in the range of 3-6 is preferable in terms of reaction efficiency when the above additive is used.
  • Hydrochloric acid and acetic acid etc. are preferably used for the pH adjustment.
  • a transparent substrate of the present invention by drying the cellulose fiber which is described above.
  • a sheet of the transparent substrate to meet the purpose by casting the dispersion liquid which contains the cellulose fiber in a flat and smooth form and drying it at a temperature in the range from room temperature to 160° C. The lower the temperature on this occasion, the planer and/or the smoother and free from discoloration the transparent substrate is.
  • Another method is casting the dispersion liquid which contains the cellulose fiber in a flat and smooth form and drying it at temperatures rising in a stepwise way such as 100° C. for 10 minutes, 130° C. for 10 minutes and 150° C. for 10 minutes. Then, a plane and smooth sheet of the substrate can be obtained rapidly.
  • the dispersant of the dispersion liquid which contains the cellulose fiber is a solvent mixture containing an alcohol because drying efficiency is improved and little or no dispersant remains after the drying treatment is finished.
  • alcohol with a low molecular weight such as methanol, ethanol, 1-propanol, 2-propanol, 1-butanol and 2butanol is used as the alcohol.
  • a content ratio of the cellulose fiber in the transparent substrate of the present invention is in the range of 1 to 99.9%.
  • a film with a sufficient thickness and mechanical strength can be obtained in a short time if the content ratio of the cellulose fiber in the transparent substrate is in the above range.
  • the resultant film after the drying treatment receives a heating, various characteristics of the coat, particularly strength, waterproofness and/or moisture resistance, and/or adhesiveness to a layer arranged adjacent to the transparent substrate such as polarizer etc. is formed are improved. It is preferable that the heating is performed at a temperature in the range of 100-200° C., and is more preferable if in the range of 100-150° C. In the case where the heating is performed at 100° C. or lower, the resultant substrate does not have size-stability due to water adsorption and moisture absorption etc. because the reaction of the functional group in the cellulose sufficiently proceeds and sufficiently dense cross-linkings are not formed. On the other hand, in the case of 200° C.
  • the cellulose may decompose and discolor.
  • the transparent substrate of the present invention has a linear expansion coefficient of 50 ppm/° C. or less in the temperature region of 30-150° C., and is more preferable if 50 ppm/° C. or less and further more preferable if 8 ppm/° C. or less. If the linear expansion coefficient of the transparent substrate is higher than this upper limit, problems in the production process caused by curling of the film may become severe and/or the additive agent may bleed from the film. In addition, when the transparent substrate has a layered structure, some of the layers may be peeled or stripped off if the linear expansion coefficient exceeds the upper limit. On the other hand, there is no lower limit to the linear expansion coefficient since deformations such as curling etc. hardly occurs as the linear expansion coefficient lowers.
  • the polarizing plate is stuck to the transparent substrate with an aqueous adhesive.
  • the transparent substrate of the present invention has a moisture permeability of 1-99 g/m 2 .24 hr since adequate moisture permeability (preferably in the range of 1-99 g/m 2 .24 hr) is required in order to dry the aqueous adhesive. If the moisture permeability is lower than this lower limit, the transparent substrate has insufficient adhesiveness and some of its layer may be easily peeled or stripped off. If the moisture permeability is higher than this upper limit, a sufficient polarizing performance cannot be maintained due to a decrease of moisture resistivity of the polarizing plate.
  • the transparent substrate has a thickness in the range of 10-200 ⁇ m. In case of a thickness lower than 10 ⁇ m, sufficient robustness cannot be retained and defects such as cracks etc. may be created on the transparent substrate. In the case of a thickness higher than 200 ⁇ m, high costs and a low transmittance are disadvantageous.
  • the moisture permeability described above can be realized in this thickness range. The moisture permeability can also be adjusted by selecting a type of a hydrophobic additive and its additive amount.
  • Phosphate esters such as triphenyl phosphate, triethyl phosphate and trioctyl phosphate etc. and carboxylate esters such as dimethyl terephthalate and diethyl terephthalate etc. are examples of the hydrophobic additive.
  • an additive amount of the hydrophobic additive is in the range of 1 to 20%, more preferably 5 to 20%. In the case of an additive amount of 1% or less, it is impossible to adjust the moisture permeability whereas in the case of 20% or more, the moisture permeability is excessively low and adhesion problems may occur.
  • an ultraviolet (UV) absorber and a degradation inhibitor etc. can be added to the transparent substrate of the present invention. It is also possible to add other additives such as a pigment, a dye and a disperser etc. unless it prevents the intrinsic effects of the present invention.
  • 2-(5-methyl-2-hydroxyphenyl)benzotriazole, 2-(3-tert-butyl-5-methyl-2-hydroxyphenyl)-5-chlorobenzotriazole, 2-(4,6-diphenyl-1,3,5-triazin-2-yl)-5-[(hexyl)oxy]-phenol, 2,4-dihydroxybenzophenone and 2-hydroxy-4-n-octyloxybenzophenone etc. are examples of the UV absorber.
  • 2-hydroxy-4-n-octyloxybenzophenone is preferable in terms of dispersibility.
  • the UV content amount in the transparent substrate is 0.001-5.0%, more preferably 0.01-1.0%, with respect to the transparent substrate.
  • the UV absorber is less than 0.001%, the effect of its addition is not fully achieved.
  • the UV absorber is more than 5.0%, since light transmission is disturbed.
  • the UV absorber can be added at any stage of the process, it is most preferably added just before the transparent substrate is elongated and formed.
  • the degradation inhibitor inhibits degradation and decomposition of the oxidized cellulose.
  • Compounds such as butylamines, hindered amines, benzotriazole UV absorbers and benzophenone UV absorbers etc. are examples of the degradation inhibitor.
  • the degradation inhibitor content amount in the transparent substrate is 0.001-5.0%, more preferably 0.01-1.0%, with respect to the transparent substrate.
  • the degradation inhibitor is less than 0.001%, the effect of its addition is not fully achieved.
  • the degradation inhibitor is more than 5.0%, since it is disadvantageous in terms of costs and light transmission may also be disturbed.
  • the degradation inhibitor can be added at any stage of the process, it is most preferable that the degradation inhibitor is added just before the transparent substrate is elongated and formed.
  • the transparent substrate of the present invention has a light transmittance of 70% or more at 450 nm after heating at 100° C. for 3 hours or 150° C. for 1.5 hours.
  • the transparent substrate does not discolor.
  • the transparent substrate can be regarded as difficult to discolor if it retains the light transmittance of 70% or more even after heating. As is previously described, it is possible to control the light transmittance of the transparent substrate after heating by the aldehyde group content amount in the cellulose fiber of the transparent substrate.
  • TEMPO oxidation of cellulose is carried out according to the following procedure.
  • a carboxy group amount contained in the resultant oxidized cellulose was measured in the following way. 0.2 g (in terms of dry weight) of the cellulose oxidized with TEMPO was put in a beaker and 80 ml of ion-exchange water was added. After 0.5 ml of 0.01 M NaCl(aq) was added, 0.1 M HCl(aq) was added with stirring to adjust the pH of the solution to 2.0. Then, conductivity and pH of the solution were measured every 30 seconds while pouring 0.05 M NaOH(aq) at 0.015 ml/30 sec. using an automatic titrator until the pH reached 11. A titer of NaOH was determined from the resultant conductometric titration curve for calculating the carboxy group content. The carboxy group amount was 1.55 mmol/g.
  • a carboxy group amount in the oxidized cellulose after the oxidation was measured in a way similar to the case of ⁇ 2> in the section of ⁇ Preparation example>>.
  • the carboxy group amount in the oxidized cellulose after the second oxidation was 1.61 mmol/g.
  • the carboxy group amount in the oxidized cellulose after the second oxidation was measured after performing a further oxidation (a third oxidation) with sodium chlorite again in a similar way.
  • the carboxy group amount in the oxidized cellulose after the oxidation treatment was measured in a way similar to the case of ⁇ 2> in the section of ⁇ Preparation example>>.
  • the carboxy group amount in the oxidized cellulose was 1.60 mmol/g.
  • a molecular weight was estimated from a limiting viscosity of the resultant cellulose dispersion liquid.
  • the oxidized cellulose fiber was dissolved in a 0.5 M cupriethylenediamine solution to prepare a solution of cellulose having a concentration of 2 mg/ml.
  • Efflux viscosity of the solution was measured by a Cannon-Fenske viscometer and its limiting viscosity was derived from a viscosity equation.
  • the oxidized cellulose had a degree of polymerization of 210 and a molecular weight of about 34000.
  • a cellulose dispersion liquid which was transparent was obtained by fiberizing the oxidized cellulose obtained in ⁇ 3> in the section of ⁇ Preparation example>> into fine fibers by a treatment similar to the case of ⁇ 5> in the section of ⁇ Preparation example>>.
  • a molecular weight of the oxidized cellulose in the cellulose dispersion liquid was computed from a limiting viscosity, as in the case of ⁇ 5> in the section of ⁇ Preparation example>>.
  • the oxidized cellulose had a degree of polymerization of 309 and a molecular weight of about 50000.
  • a cellulose dispersion liquid which was transparent was obtained by fiberizing the oxidized cellulose obtained in ⁇ 4> in the section of ⁇ Preparation example>> into fine fibers for 4 hours by a treatment similar to the case of ⁇ 5> in the section of ⁇ Preparation example>>.
  • a molecular weight of the oxidized cellulose in the cellulose dispersion liquid was computed from a limiting viscosity, as in the case of ⁇ 5> in the section of ⁇ Preparation example>>.
  • the oxidized cellulose had a degree of polymerization of 346 and a molecular weight of about 56000.
  • the cellulose dispersion liquid obtained in ⁇ 6> in the section of ⁇ Preparation example>> was casted on a polystyrene plate and dried at 50° C. in an oven for 24 hours to form films having a thickness of 20 ⁇ m (in example 1), 40 ⁇ m (in example 2), 60 ⁇ m (in example 3) and 250 ⁇ m (in example 4).
  • a film was formed in a way similar to the case of ⁇ Example 3>> except for adding 5% of triphenyl phosphate as a hydrophobic additive to the cellulose dispersion liquid obtained in ⁇ 6> in the section of ⁇ Preparation example>>.
  • a film was formed in a way similar to the case of ⁇ Example 3>> except for adding 0.5% of 2-hydroxy-4-n-octyloxybenzophenone as an UV absorber to the cellulose dispersion liquid obtained in ⁇ 6> in the section of ⁇ Preparation example>>.
  • a film was formed in a way similar to the case of ⁇ Example 3>> except for adding 0.5% of bis(2,2,6,6,-tetramethyl-4-piperidyl) succinate as a degradation inhibitor to the cellulose dispersion liquid obtained in ⁇ 6> in the section of ⁇ Preparation example>>.
  • a film was formed in a way similar to the case of ⁇ Example 3>> except for adding 5% of triphenyl phosphate as a hydrophobic additive, 0.5% of 2-hydroxy-4-n-octyloxybenzophenone as an UV absorber and 0.5% of bis(2,2,6,6,-tetramethyl-4-piperidyl) succinate as a degradation inhibitor to the cellulose dispersion liquid obtained in ⁇ 6> in the section of ⁇ Preparation example>>.
  • a film was formed in a way similar to the case of ⁇ Example 3>> except for using the cellulose dispersion liquid obtained in ⁇ 5> in the section of ⁇ Preparation example>>.
  • a film was formed in a way similar to the case of ⁇ Example 3>> except that the TEMPO oxidation was performed for 1 hour (reaction time) in ⁇ 2> in the section of ⁇ Preparation example>>. It was found that the oxidized cellulose obtained here has a carboxy group amount of 1.25 mmol/g and an aldehyde group amount of 0.01 mmol/g as a result of a measurement which was performed in a method described in ⁇ 3> in the section of ⁇ Preparation example>>. In addition, the oxidized cellulose had a degree of polymerization of 345 and a molecular weight of 56000 as a result of a calculation according to a method described in ⁇ 5> in the section of ⁇ Preparation example>>.
  • the cellulose dispersion liquid obtained in ⁇ 7> in the section of ⁇ Preparation method>> was admixed with EPOCROS WS-500 (by Nippon Shokubai Co., Ltd.) at a ratio of 1 equivalent weight of oxazoline group with respect to the carboxy group in the cellulose.
  • the resultant cellulose dispersion liquid was casted on a petri dish made of glass, and dried at 50° C. in an oven for 24 hours to form films having a thickness of 10 ⁇ m (in example 11) and 40 ⁇ m (in example 12). After being further dried in a desiccator for a day, the films were heated at 150° C. for 1 hour.
  • the cellulose dispersion liquid obtained in ⁇ 6> in the section of ⁇ Preparation method>> was admixed with EPOCROS WS-500 (by Nippon Shokubai Co., Ltd.) at a ratio of 1 equivalent weight of oxazoline group with respect to the carboxy group in the cellulose.
  • the resultant cellulose dispersion liquid was casted on a petri dish made of glass, and dried at 50° C. in an oven for 24 hours to form films having a thickness of 10 ⁇ m (in example 13) and 40 ⁇ m (in example 14). After being further dried in a desiccator for a day, the films were heated at 150° C. for 1 hour.
  • the cellulose dispersion liquid obtained in ⁇ 7> in the section of ⁇ Preparation method>> was admixed with EPOCROS K-2020E (by Nippon Shokubai Co., Ltd.) at a ratio of 1 equivalent weight of oxazoline group with respect to the carboxy group in the cellulose.
  • the resultant cellulose dispersion liquid was casted on a petri dish made of glass, and dried at 50° C. in an oven for 24 hours to form films having a thickness of 10 ⁇ m (in example 15) and 40 ⁇ m (in example 16). After being further dried in a desiccator for a day, the films were heated at 150° C. for 1 hour.
  • the cellulose dispersion liquid obtained in ⁇ 5> in the section of ⁇ Preparation method>> was admixed with EPOCROS WS-500 (by Nippon Shokubai Co., Ltd.) at a ratio of 1 equivalent weight of oxazoline group with respect to the carboxy group in the cellulose.
  • the resultant cellulose dispersion liquid was casted on a petri dish made of glass, and dried at 50° C. in an oven for 24 hours to form a film having a thickness of 10 ⁇ m. After being further dried in a desiccator for a day, the films were heated at 150° C. for 1 hour.
  • a film was formed in a way similar to the case of ⁇ Example 11>> except for the absence of the pH adjustment of the cellulose dispersion liquid obtained in ⁇ 7> in the section of ⁇ Preparation example>> to 4.7 with hydrochloric acid.
  • a film was formed in a way similar to the case of ⁇ Example 12>> except for the absence of the addition of EPOCROS to the cellulose dispersion liquid obtained in ⁇ 7> in the section of ⁇ Preparation example>>.
  • the cellulose dispersion liquid obtained in ⁇ 7> in the section of ⁇ Preparation method>> was admixed with CARBODILITE V-02-L2 (by Nisshinbo Chemical Inc.) at a ratio of 1 equivalent weight of carbodiimide group with respect to the carboxy group in the cellulose.
  • the resultant cellulose dispersion liquid was casted on a petri dish made of glass, and dried at 50° C. in an oven for 24 hours to form films having a thickness of 10 ⁇ m (in example 20) and 40 ⁇ m (in example 21).
  • a film was formed in a way similar to the case of ⁇ Example 3>> except that the TEMPO oxidation described in ⁇ 2> in the section of ⁇ Preparation example>> was not performed before the fiberizing treatment mentioned in ⁇ 4> in the section of ⁇ Preparation example>>.
  • the cellulose had a degree of polymerization of 1300 and a molecular weight of 210000 as a result of a calculation according to a method described in ⁇ 4> in the section of ⁇ Preparation example>>.
  • a film was formed in a way similar to the case of ⁇ Example 9>> except that 0.2 g of TEMPO was used in the TEMPO oxidation in ⁇ 2> in the section of ⁇ Preparation example>>, and in addition, the reaction time was reduced to 0.5 hours. It was found that the oxidized cellulose obtained here has a carboxy group amount of 0.61 mmol/g and an aldehyde group amount of 0.26 mmol/g as a result of a measurement which was performed in a method described in ⁇ 3> in the section of ⁇ Preparation example>>. In addition, the oxidized cellulose had a degree of polymerization of 1200 and a molecular weight of 195000 as a result of a calculation according to a method described in ⁇ 5> in the section of ⁇ Preparation example>>.
  • the cellulose fiber and the resultant film were evaluated in the following method.
  • the celluloses of the examples 1-21 and the comparative examples 1 and 2 were dispersed or dissolved in water at a concentration 0.1%, respectively, and thinly pasted on a sample stage of an atomic force microscope (AFM). After drying with heat, the resultant sample was observed by the AFM. The results are shown in tables 1A, 2A and 3A.
  • Moisture permeability (g/m 2 /24 hr) of the films of the examples 1-10 and the comparative examples 1-3 was measured at 25° C. under the atmosphere of 60% RH by a cup method conforming to JIS (Japanese Industrial Standards) Z0208. The results are shown in tables 1A and 3A.
  • Transmittance of the films of the examples 1-21 and the comparative examples 1-3 to light at 660 nm was measured using a spectral photometer U-4000 (made by Hitachi, Ltd.).
  • transmittance of the films of the examples 1-10 and the comparative examples 1-3 to light at 450 nm after heating at 100° C. for 3 hours was measured using the spectral photometer U-4000 (made by Hitachi, Ltd.).
  • transmittance of the films of the examples 11-21 to light at 450 nm after heating at 150° C. for 1.5 hours was measured using the spectral photometer U-4000 (made by Hitachi, Ltd.). The results are shown in tables 1B, 2B and 3B.
  • YI values of the films of the examples 1-10 and the comparative example 3 were calculated from their transmittance to light at 660 nm and transmittance to light at 450 nm after heating at 100° C. for 3 hours.
  • YI values of the films of the examples 11-21 were calculated from their transmittance to light at 660 nm and transmittance to light at 450 nm after heating at 150° C. for 1.5 hours. The results are shown in tables 1B, 2B and 3B.
  • a polarizer was fabricated by elongating a polyvinyl alcohol film and adsorbing iodine to the film.
  • Each of the films of the examples 1-10 and the comparative examples 1-3 was pasted to both surfaces of the polarizer with an adhesive so that a polarizing plate was manufactured.
  • the degree of polarization was calculated in the following way.
  • Transmittance of a single polarization plate was measured using a spectral photometer (DOT-3, made by Murakami Color Research Laboratory Co., Ltd.).
  • DOT-3 spectral photometer
  • transmittance of two identical polarization plates which are arranged with transmission axes parallel parallel
  • transmittance of two identical polarization plates which are arranged with transmission axes orthogonally-crossed orthogonal transmittance, H90
  • the degree of polarization was calculated by assigning the parallel transmittance (H0) and the orthogonal transmittance (H90) to the following equation.
  • Y values in which luminosity was compensated according to JIS Z8701 were used as the single transmittance, the parallel transmittance (H0) and the orthogonal transmittance (H90).
  • portions were cut out from the films of the examples 11-21 respectively with a utility knife and were weighed in an electric balance. Subsequently, the portions were immersed in pure water for 30 minutes and were weighed again. The water absorption was calculated from the portion's weight between before and after the immersion.
  • Example 1 Carboxy group Aldehyde Fiber Moisture amount group amount Degree of diameter permeability (mmol/g) (mmol/g) polymerization (nm) (g/m 2 /24 hr.)
  • Example 1 1.61 0.01 309 3-5 4
  • Example 2 1.61 0.01 309 3-5 3.8
  • Example 3 1.61 0.01 309 3-5 3.6
  • Example 4 1.61 0.01 309 3-5 2.8
  • Example 5 1.61 0.01 309 3-5 2.8
  • Example 6 1.61 0.01 309 3-5 3.6
  • Example 7 1.61 0.01 309 3-5 3.9
  • Example 8 1.61 0.01 309 3-5 2.8
  • Example 9 1.55 0.07 210 3-5 3.7
  • Example 10 1.25 0.01 345 4-6 4.3

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