A trench-patterned structure having a nano-sized pattern including a 90-degree bending portion, wherein the structure comprises a polymer, a metal, a metal oxide, a metal nitride, or a combination thereof, and the nano-sized pattern is transferred from a block copolymer nanopattern that is formed by directing self-assembly of a block copolymer on a substrate according to a guide pattern to form n/2 discrete domains and selectively removing some of the discrete domains, wherein the guide pattern includes a block copolymer patterning area having a 90-degree bending portion, an outer apex and an inner apex of the 90-degree bending portion are each rounded, the outer apex has a first curvature radius r1, the inner apex has a second curvature radius r2, and a width of the block copolymer patterning area W, the first curvature radius r1, and the second curvature radius r2, satisfy Inequation 1:
- 2
- +
- 2
- -
- (
- 1
- +
- 2
- )
-
- [
- (
- n
- +
- 2
- )
- 2
- n
-
- (
- n
- +
- 1
- )
- ]
- 1
- 3
- ≤
- r
- 1
- -
- r
- 2
- W
- ≤
- 2
- +
- 2
- -
- (
- 1
- +
- 2
- )
-
- [
- (
- n
- -
- 2
- )
- 2
- n
-
- (
- n
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- 1
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- ]
- 1
- 3
- [
- Inequation
-
-
- 1
- ]
- wherein, n is an even number and represents the number of interfaces of the discrete domains.