Reticle having hexagonal patterns in a honeycomb arrangement
A reticle includes a mask substrate, a reflective layer on the mask substrate, and a mask pattern on the reflective layer, the mask pattern having image patterns to absorb light, and first patterns between the image patterns, the first patterns being openings, the first patterns having a honeycomb arrangement, in a plan view, such that seven of the first patterns are arranged at corresponding vertices and a center of a first regular hexagon, and each of the first patterns having a shape of a second regular hexagon that is rotated by 90 degrees relative to the first regular hexagon.
1. A reticle, comprising:
a mask substrate;
a reflective layer on the mask substrate; and
a mask pattern on the reflective layer, the mask pattern including:
image patterns to absorb light, and
first patterns between the image patterns, the first patterns being openings, the first patterns having a honeycomb arrangement, in a plan view, such that seven of the first patterns are arranged at corresponding vertices and a center of a first regular hexagon, and each of the first patterns having a shape of a second regular hexagon that is rotated by 90 degrees relative to the first regular hexagon, the second regular hexagon having straight edges that meet at vertices,
wherein:
the first regular hexagon has a shape in which upper and lower portions are horizontal straight edges extending in a horizontal direction from a plan view, and side portions protrude outwardly relative to the upper and lower portions, and
the second regular hexagon has a shape in which upper and lower portions protrude outwardly, and side portions are vertical straight edges extending between two vertices in a vertical direction from a plan view, the vertical direction perpendicular to the horizontal direction.
2. The reticle as claimed in claim 1 , wherein the first patterns are arranged in rows that extend in the horizontal direction, adjacent ones of the rows being offset with respect to each other in a zigzag pattern along the vertical direction.
3. The reticle as claimed in claim 1 , wherein each second regular hexagon circumscribes a respective circle formed so that the sides of the second regular hexagon are all tangent to the circle, and the circle corresponds to a shape of light reflected off of the reflective layer after passing through the second regular hexagon.
4. The reticle as claimed in claim 3 , wherein a shortest distance between each second regular hexagon and an adjacent second regular hexagons is the same as a shortest distance between adjacent circles of the respective circles.
5. The reticle as claimed in claim 3 , wherein for each second regular hexagon, a distance from a center of the second regular hexagon to a vertex of the second regular hexagon is greater than a radius of each circle of the respective circles.
6. The reticle as claimed in claim 1 , wherein the mask substrate includes an image region and a black region surrounding the image region, the image patterns and the first patterns of the mask pattern being on the image region.
7. A reticle, comprising:
a mask substrate including an image region and a black region surrounding the image region;
a metal layer on a bottom surface of the mask substrate;
a reflective layer on a top surface of the mask substrate; and
a mask pattern on the reflective layer, the mask pattern including:
image patterns on the image region of the mask substrate, the image patterns to absorb light,
first patterns between the image patterns, the first patterns being openings, the first patterns having a honeycomb arrangement, in a plan view, such that seven of the first patterns are arranged at corresponding vertices and a center of a first regular hexagon, and each of the first patterns having a shape of a second regular hexagon including straight edges that meet at vertices and circumscribes a respective circle formed so that the sides of the second regular hexagon are all tangent to the circle, and
a black pattern on the black region of the mask substrate,
wherein a shortest distance between each second regular hexagon and any adjacent second regular hexagon is the same as a shortest distance between the respective circles.
8. The reticle as claimed in claim 7 , wherein each second regular hexagon is rotated by 90 degrees relative to the first regular hexagon.
9. The reticle as claimed in claim 7 , wherein the first patterns are arranged in rows that extend in a first direction parallel to a top surface of the mask substrate, adjacent ones of the rows being offset with respect to each other in a zigzag pattern in a second direction parallel to the top surface of the mask substrate and perpendicular to the first direction.
10. The reticle as claimed in claim 7 , wherein for each second regular hexagon a distance from a center of the second regular hexagon to a vertex of the second regular hexagon is greater than a radius the respective circle of the.