摘要 |
A photomask comprises a substrate, a translucent film selectively formed on the substrate, and a shading film selectively formed on the translucent film, wherein when the substrate, the translucent film and the shading film have Young's moduli (MPa) E<SUB>0 </SUB>E<SUB>1 </SUB>and E<SUB>2</SUB>, and film thickness (m) d<SUB>0</SUB>, d<SUB>1 </SUB>and d<SUB>2 </SUB>respectively, internal stresses (MPa) of the translucent film and the shading film at room temperature are s<SUB>1 </SUB>and s<SUB>2 </SUB>respectively, a covering rate by the translucent film defined by an area in which the shading film is not formed is expressed as h, and coefficients are expressed as k<SUB>1</SUB>=1.3x10<SUP>-8</SUP>, k<SUB>2</SUB>=-9.5x10<SUP>-2</SUP>, k<SUB>3</SUB>=6.0x10<SUP>-7</SUP>, and k<SUB>4</SUB>=-5.2x10<SUP>-2 </SUP>respectively, the substrate, the translucent film and the shading film satisfy a condition given by the following expression: <maths id="MATH-US-00001" num="00001"> <MATH OVERFLOW="SCROLL"> <MROW> <MROW> <MO></MO> <MROW> <MFRAC> <MN>1</MN> <MROW> <MSUB> <MI>E</MI> <MN>0</MN> </MSUB> <MO>.</MO> <MSUB> <MI>d</MI> <MN>0</MN> </MSUB> </MROW> </MFRAC> <MO>.</MO> <MROW> <MO>{</MO> <MROW> <MROW> <MI>h</MI> <MO>.</MO> <MROW> <MO>(</MO> <MROW> <MROW> <MSUB> <MI>k</MI> <MN>1</MN> </MSUB> <MO>.</MO> <MFRAC> <MSUB> <MI>S</MI> <MN>1</MN> </MSUB> <MROW> <MSUB> <MI>E</MI> <MN>1</MN> </MSUB> <MO>.</MO> <MSUB> <MI>d</MI> <MN>1</MN> </MSUB> </MROW> </MFRAC> </MROW> <MO>+</MO> <MSUB> <MI>k</MI> <MN>2</MN> </MSUB> </MROW> <MO>)</MO> </MROW> </MROW> <MO>+</MO> <MROW> <MO>(</MO> <MROW> <MROW> <MSUB> <MI>k</MI> <MN>3</MN> </MSUB> <MO>.</MO> <MFRAC> <MSUB> <MI>S</MI> <MN>2</MN> </MSUB> <MROW> <MSUB> <MI>E</MI> <MN>2</MN> </MSUB> <MO>.</MO> <MSUB> <MI>d</MI> <MN>2</MN> </MSUB> </MROW> </MFRAC> </MROW> <MO>+</MO> <MSUB> <MI>k</MI> <MN>4</MN> </MSUB> </MROW> <MO>)</MO> </MROW> </MROW> <MO>}</MO> </MROW> </MROW> <MO></MO> </MROW> <MO><=</MO> <MROW> <MN>1.4</MN> <MO>x</MO> <MSUP> <MN>10</MN> <MROW> <MO>-</MO> <MN>4</MN> </MROW> </MSUP> <MO></MO> <MROW> <MROW> <MO>(</MO> <MSUP> <MI>m</MI> <MROW> <MO>-</MO> <MN>1</MN> </MROW> </MSUP> <MO>)</MO> </MROW> <MO>.</MO> </MROW> </MROW> </MROW> </MATH> </MATHS> |