Dye-based black ink formulations and ink-jet ink sets

An ink-jet ink set, comprising:

• a plurality of colored inks, and
• dye-based black ink formulation, comprising:
• a black dye, wherein the black dye is in an amount form about 0.5 to 5.0 weight percent of the dye-based black ink formulation;
• a yellow dye, wherein the yellow dye is in an amount from about 0.1 to 4.0 weight percent of the dye-based black ink formulation;
• a magenta dye, wherein the magenta dye is in an amount from about 0 to 3.5 weight percent of the dye-based black ink formulation;
• and
• a cyan dye, wherein the cyan dye is in an amount from about 0 to 4.0 weight percent of the dye-based black ink formulation,
• wherein the black dye is selected from the group consisting of 1H-Pyrazole-3-carboxylic acid, 4-[[6-[[4-[(1,5-disulfo-2-naphthalenyl)azo]-2-methoxy-5-methylphenyl]azo]-5-hydroxy-7-sulfo-2-naphthalenyl]azo]-4,5-dihydro-5-oxo-1-(4-sulfophenyl)-, lithium sodium salt;
• 2,7-Naphthalenedisulfonic acid, 3-[[4-[[4-[[5-(aminocarbonyl)-1-ethyl-1,6-dihydro-2-hydroxy-4-methyl-6-oxo-3-pyridinyl]azo]-2-sulfophenyl]azo]-2,5-bis(2-hydroxyethoxy)phenyl]azo]-4,5-dihydroxy-, potassium sodium salt;
• Cuprate(4-), [2-(amino-κN)ethanol][7-[[3-(hydroxy-κO)-4-[[1-(hydroxy-κO)-3-sulfo-7-[(2-sulfoethyl)amino]-2-naphthalenyl]azo-κN1]phenyl]azo]-1,3-naphthalenedisulfonato(6-)]-, tetrasodium (9Cl);
• 2,7-Naphthalenedisulfonic acid, 6-amino-4-hydroxy-3-[[7-sulfo-4-[(4-sulfophenyl)azo]-1-naphthalenyl]azo]-, tetrasodium salt (7Cl);
• 1,3-Benzenedicarboxylic acid, 5-[[4-[(7-amino-1-hydroxy-3-sulfo-2-naphthalenyl)azo]-6-sulfo-1-naphthalenyl]azo]-, tetraammonium salt (9Cl);
• and combinations thereof;
• and compounds defined by formula 1 or formula 2:
• wherein X is SO3Q, where Q is a sodium ion, lithium ion, or a combination thereof, and where n is 1, 2 or 3,
• wherein R1 and R2 each independently represents a hydrogen, a halogen, a cyano group, a carboxy group, a sulfo group, a sulfamoyl group, a N-alkylaminosulfonyl group, or a N-phenylaminosulfonyl group;
• R3, R4, R5, R6, R7, and R8 each independently represents a hydrogen, a halogen group, a hydroxy group, a cyano group, a carboxy group, a sulfo group, a sulfamoyl group, a N-alkylaminosulfonyl group, or a N-phenylaminosulfonyl group;
• and n is 0 or 1.

A method of making a dye-based black ink formulation, comprising:

• providing at least one dye from each of the following:
• a black dye, a yellow dye, a magenta dye, and a cyan dye;
• mixing the dyes;
• and
• forming the dye-based black ink formulation, wherein the black dye is in an amount from about 0.5 to 5.0 weight percent of the dye-based black ink formulation, wherein the yellow dye is in an amount from about 0.5 to 4.0 weight percent of the dye-based black ink formulation, wherein the magenta dye is in an amount from about 0.2 to 3.5 weight percent of the dye-based black ink formulation, and wherein the cyan dye is in an amount from about 0.5 to 4.0 weight percent of the dye-based black ink formulation, wherein the black dye is selected from the group consisting of 1H-Pyrazole-3-carboxylic acid, 4-[[6-[[4-[(1,5-disulfo-2-naphthalenyl)azo]-2-methoxy-5-methylphenyl]azo]-5-hydroxy-7-sulfo-2-naphthalenyl]azo]-4,5-dihydro-5-oxo-1-(4-sulfophenyl)-, lithium sodium salt;
• 2,7-Naphthalenedisulfonic acid, 3-[[4-[[4-[[5-(aminocarbonyl)-1-ethyl-1,6-dihydro-2-hydroxy-4-methyl-6-oxo-3-pyridinyl]azo]-2-sulfophenyl]azo]-2,5-bis(2-hydroxyethoxy)phenyl]azo]-4,5-dihydroxy-, potassium sodium salt;
• Cuprate(4-), [2-(amino-κN)ethanol][7-[[3-(hydroxy-κO)-4-[[1-(hydroxy-κO)-3-sulfo-7-[(2-sulfoethyl)amino]-2-naphthalenyl]azo-κN1]phenyl]azo]-1,3-naphthalenedisulfonato(6-)]-, tetrasodium (9Cl );
• 2,7-Naphthalenedisulfonic acid, 6-amino-4-hydroxy-3-[[7-sulfo-4-[(4-sulfophenyl)azo]-1-naphthalenyl]azo]-, tetrasodium salt (7Cl);
• 1,3-Benzenedicarboxylic acid, 5-[[4-[(7-amino-1-hydroxy-3-sulfo-2-naphthalenyl)azo]-6-sulfo-1-naphthalenyl]azo]-, tetraammonium salt (9Cl);
• and combinations thereof;
• and compounds defined by formula 1 or formula 2:
• wherein X is SO3Q, where Q is a sodium ion, lithium ion, or a combination thereof, and where n is 1, 2 or 3,
• wherein R1 and R2 each independently represents a hydrogen, a halogen, a cyano group, a carboxy group, a sulfo group, a sulfamoyl group, a N-alkylaminosulfonyl group, or a N-phenylaminosulfonyl group;
• R3, R4, R5, R6, R7, and R8 each independently represents a hydrogen, a halogen group, a hydroxy group, a cyano group, a carboxy group, a sulfo group, a sulfamoyl group, a N-alkylaminosulfonyl group, or a N-phenylaminosulfonyl group;
• and n is 0 or 1.