Patent ID: 8557341

Claim:
A method for predictably patterning a structure comprising: surmounting a deformable substrate, having an original form, with a composition, wherein the deformable substrate is capable of achieving at least one predetermined deformed state; predictably deforming said deformable substrate from its original form to the at least one predetermined deformed state; transferring at least a portion of the composition surmounting the deformed substrate to a receiving substrate; and predicting the at least one predetermined deformed state based upon the elastic energy of the deformable substrate, wherein the elastic energy of the deformable substrate is determined by the following equation: E ∝ - Y 2 ⁢ b 2 ⁢ d 2 R 2 ⁢ cos ⁡ ( θ 1 + θ 2 ) ⁢ sin ⁢ ⁢ θ 1 ⁢ sin ⁢ ⁢ θ 2 wherein E is the elastic energy of the deformable substrate, Y 2 is Young's modulus, b is Burger's vector, d is the dipole vector, R is the separation, θ 1 and θ 2 are the angles of the Burger's vector and the dipole vector respectively.