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Embodiments of the present disclosure include paper coating compositions, coated paper and/or paperboard, and methods of forming coated paper and/or paperboard with the paper coating compositions. The embodiments of the paper coating compositions contain high levels of hollow polymeric pigment relat

Embodiments of the present disclosure include paper coating compositions, coated paper and/or paperboard, and methods of forming coated paper and/or paperboard with the paper coating compositions. The embodiments of the paper coating compositions contain high levels of hollow polymeric pigment relative to other pigments used in the paper coating composition (e.g., inorganic pigments). The paper coating compositions can provide the coated paper and/or paperboard with a wide variety of desirable features (e.g., high gloss, good smoothness, improved stiffness), while minimizing compaction (i.e., permanent deformation) of the underlying base paper.

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1. A paper coating composition, comprising: a binder;a first hollow polymeric pigment having a volume median diameter measured by hydrodynamic chromatography of a first predetermined value; anda second hollow polymeric pigment having a volume median diameter measured by hydrodynamic chromatography o

1. A paper coating composition, comprising: a binder;a first hollow polymeric pigment having a volume median diameter measured by hydrodynamic chromatography of a first predetermined value; anda second hollow polymeric pigment having a volume median diameter measured by hydrodynamic chromatography of a second predetermined value that is at least twenty-five percent smaller than the first predetermined valuewhere the hollow polymeric pigment is derived from a polymer particle comprising an acid-free hydrophilic core copolymer phase made of (meth)acrylate monomers, vinyl ester monomers of carboxylic acids or a mixture thereof, and one or more crosslinking monomers; the core copolymer being base-hydrolyzable at temperatures greater than the Tg of the copolymerwherein the amount of the total hollow polymeric pigment used in the coating composition is about 30 parts to about 65 parts per 100 weight parts of a total polymeric pigment. 2. The paper coating composition of claim 1, where the paper coating composition includes about 9 parts to about 30 parts per 100 weight parts total hollow polymeric pigment of the second hollow polymeric pigment. 3. The paper coating composition of claim 1, where the volume median diameter of the second hollow polymeric pigment is at least 50 percent smaller than the volume median diameter of the first hollow polymeric pigment. 4. The paper coating composition of claim 1, where the volume median diameters of the first hollow polymeric pigment and the second hollow polymeric pigment are in a range from about 300 nanometers to about 1,100 nanometers. 5. The paper coating composition of claim 1, where the first hollow polymeric pigment and the second hollow polymeric pigment can achieve a series of contiguous hollow polymeric pigments that extend through a thickness of a coating formed with the coating composition. 6. The paper coating composition of claim 1, where the first hollow polymeric pigment has a void volume of about 40 to about 60 percent. 7. A paper or paperboard having a coating formed from the paper coating composition of claim 1. 8. A coated paper or paperboard, comprising: a base paper having a first major surface and a second major surface opposite the first major surface;a coating over at least one of the first and second major surfaces formed from a coating formulation having: (i) a binder;(ii) a first hollow polymeric pigment having a volume median diameter measured by hydrodynamic chromatography of a first predetermined value;(iii) a second hollow polymeric pigment having the volume median diameter measured by hydrodynamic chromatography of a second predetermined value that is at least twenty-five percent smaller than the first predetermined value;(iv) an inorganic pigment that has a particle size distribution in which less than 65 percent of the inorganic pigment is less than 2 microns in diameter;wherein the amount of the total hollow polymeric pigment used in the coating formulation is about 30 parts to about 65 parts per 100 weight parts of a total polymeric pigment. 9. The coated paper or paperboard of claim 8, where the coating over at least one of the first and second major surfaces has a smoothness of less than about 1.65 PPS-H5. 10. The coated paper or paperboard of claim 8, where the coating contains the second hollow polymeric pigment in about 15 parts to about 30 parts per 100 weight parts total hollow pigment. 11. The coated paper or paperboard of claim 10, where at least 50 percent of a total of the first hollow polymeric pigment and the second hollow polymeric pigment in the paper coating composition is deformed relative to a remainder of the total of the first and second hollow polymeric pigment. 12. The coated paper or paperboard of claim 11, wherein the base paper of the coated paper or paperboard has a thickness that changed no more than about 10 percent relative an original thickness of the base paper prior to receiving the coating. 13. The coated paper or paperboard of claim 8, where the inorganic pigment is calcium carbonate. 14. The coated paper or paperboard of claim 8, where the hollow polymeric pigment is derived from a polymer particle comprising: A. an acid-free hydrophilic core copolymer phase made of (meth)acrylate monomers, vinyl ester monomers of carboxylic acids or a mixture thereof, and one or more crosslinking monomers; the core copolymer being base-hydrolyzable at temperatures greater than the Tg of the copolymer; andB. an intermediate shell copolymer phase which is compatible with the hydrophilic core copolymer phase, the intermediate shell copolymer made of (meth)acrylate monomers having a Tg for their copolymer greater than 50° C.; and one or more vinyl acid monomers; and, optionally, one or more monovinyl aromatic monomers; and, optionally, one or more crosslinking monomers; the intermediate shell copolymer also being compatible withC. an outer rigid shell copolymer which is hydrophobic and crosslinked, the copolymer having a Tg greater than about 80° C., the outer shell copolymer made of one or more monovinyl aromatic monomers; and one or more vinyl acid monomers; and one or more crosslinking monomers; and, optionally, (meth)acrylate monomers having a Tg for their copolymer greater than 50° C. 15. The coated paper or paperboard of claim 14, where the hollow polymeric pigment is joined into clusters by an agglomeration agent or a shearing process. 16. The paper coating composition of claim 1, where the hollow polymeric pigment is derived from a polymer particle further comprising an intermediate shell copolymer phase which is compatible with the hydrophilic core copolymer phase, the intermediate shell copolymer made of (meth)acrylate monomers having a Tg for their copolymer greater than 50° C.; and one or more vinyl acid monomers; and, optionally, one or more monovinyl aromatic monomers; and, optionally, one or more crosslinking monomers. 17. The paper coating composition of claim 2, where the hollow polymeric pigment is derived from a polymer particle further comprising an outer rigid shell copolymer which is hydrophobic and crosslinked, the copolymer having a Tg greater than about 80° C., the outer shell copolymer made of one or more monovinyl aromatic monomers; and one or more vinyl acid monomers; and one or more crosslinking monomers; and, optionally, (meth)acrylate monomers having a Tg for their copolymer greater than 50° C. 18. The paper coating composition of claim 17, further comprising an inorganic pigment that has a particle size distribution in which less than 65 percent of the inorganic pigment is less than 2 microns in diameter. 19. The paper coating composition of claim 18, where the inorganic pigment is calcium carbonate. 20. The paper coating composition of claim 19, where the hollow polymeric pigment is joined into clusters by an agglomeration agent or a shearing process.