Method for manufacturing carbon fibers and method for manufacturing electron emitting device using the same, method for manufacturing display, and ink for producing catalyst for use in these methods

A method for manufacturing an electron emitting device containing a plurality of carbon fibers connected to an electrode, the method comprising:

• a step of forming, on the electrode, a film containing a metal organic compound and a water-soluble polymer compound by applying, onto the electrode, a solution containing at least the metal organic compound including a metal of a concentration range from 0.005% to 1% by weight of the solution and the water-soluble polymer compound of a concentration from 0.01 to 0.5% by weight of the solution and of a degree of polymerization in a range of 400-2000, wherein the metal organic compound is dispersed in the solution, water is a main component of the solution, and the metal organic compound is tetrakis (monoethanolamine) palladium acetate,
• a step of forming a plurality of catalyst particles including the metal constituting said metal organic compound on said electrode by heating said film, wherein the plurality of catalyst particles are formed discretely on the electrode, and
• a step of forming the carbon fibers by bringing a gas containing carbon into contact with the catalyst particles.