Etch bias characterization and method of using the same
US-11675274-B2 · Jun 13, 2023 · US
US12468232B2 · US · B2
| Field | Value |
|---|---|
| Publication number | US-12468232-B2 |
| Application number | US-202318207642-A |
| Country | US |
| Kind code | B2 |
| Filing date | Jun 8, 2023 |
| Priority date | Feb 24, 2017 |
| Publication date | Nov 11, 2025 |
| Grant date | Nov 11, 2025 |
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A method involving determining an etch bias for a pattern to be etched using an etch step of a patterning process based on an etch bias model, the etch bias model including a formula having a variable associated with a spatial property of the pattern or with an etch plasma species concentration of the etch step, and including a mathematical term including a natural exponential function to the power of a parameter that is fitted or based on an etch time of the etch step; and adjusting the patterning process based on the determined etch bias.
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The invention claimed is: 1 . A method, comprising: determining, by a hardware computer, an etch bias for a pattern to be etched using an etch step of a patterning process based on an etch bias model, the etch bias model comprising a mathematical term comprising a natural exponential function to the power of a parameter that is fitted or based on an etch time of the etch step; and adjusting the patterning process based on the determined etch bias. 2 . The method of claim 1 , wherein the parameter of the exponential function is fitted or based on the etch time and a reaction constant for the etch step. 3 . The method of claim 1 , wherein the model further comprises a variable associated with a spatial property of the pattern and the spatial property of the pattern comprises an initial pattern element dimension. 4 . The method of claim 1 , wherein the model further comprises a variable associated with a spatial property of the pattern multiplied with the mathematical term. 5 . The method of claim 1 , wherein the model further comprises a variable associated with an etch plasma species concentration. 6 . The method of claim 1 , wherein the model further comprises a variable associated with an etch plasma species concentration multiplied with the mathematical term. 7 . The method of claim 1 , wherein the model incorporates a patterning material concentration in the power of the exponential function. 8 . The method of claim 1 , wherein adjusting the patterning process comprises adjusting a border of a region of the patterning device according to the calculated etch bias. 9 . A computer program product comprising a non-transitory computer readable medium having stored instructions, the instructions, when executed by a computer system, configured to cause the computer system to at least: determine an etch bias for a pattern to be etched using an etch step of a patterning process based on an etch bias model, the etch bias model comprising a mathematical term comprising a natural exponential function to the power of a parameter that is fitted or based on an etch time of the etch step; and cause an adjustment of the patterning process based on the determined etch bias. 10 . The computer program product of claim 9 , wherein the model further comprises a variable associated with a spatial property of the pattern and the spatial property of the pattern comprises an initial pattern element dimension. 11 . The computer program product of claim 9 , wherein the model further comprises a variable associated with a spatial property of the pattern multiplied with the mathematical term. 12 . The computer program product of claim 9 , wherein the model comprises a formula comprising a form of CD 0 (e kt −1), where CD 0 is a variable associated with a spatial property of the pattern and kt is the parameter that is fitted for the etch time t of the etch step and a reaction constant k for the etch step. 13 . The computer program product of claim 9 , wherein the model further comprises a variable associated with an etch plasma species concentration. 14 . The computer program product of claim 9 , wherein the model further comprises a variable associated with an etch plasma species concentration multiplied with the mathematical term. 15 . The computer program product of claim 9 , wherein the model comprises a formula comprising a form of C T0 (e kt −1), wherein C T0 is a variable associated with an etch plasma species concentration, and kt is the parameter that is fitted for the etch time t of the etch step and a reaction constant k for the etch step. 16 . The computer program product of claim 9 , wherein the model incorporates a patterning material concentration in the power of the exponential function. 17 . The computer program product of claim 9 , wherein the model comprises a formula comprising a form comprising C T 0 ( e At e - CR s - 1 ) , where C T0 is a variable associated with an etch plasma species concentration, C R is a variable associated with a patterning material concentration, At is the parameter that is fitted for the etch time t of the etch step and a frequency factor A for the reaction of the etch step, and s is a constant for the etch step. 18 . A computer program product comprising a non-transitory computer readable medium having stored instructions, the instructions, when executed by a computer system, configured to cause the computer system to at least: determine an etch bias for a pattern to be etched using an etch step of a patterning process based on an etch bias model, the etch bias model comprising a product of a variable associated with an etch plasma species concentration and a variable associated with a patterning material concentration; and cause an adjustment of the patterning process based on the determined etch bias. 19 . The computer program product of claim 18 , wherein the variable associated with an etch plasma species concentration comprises a variable associated with an etch plasma species spatial concentration and/or wherein the variable associated with a patterning material concentration comprises a variable associated with a patterning material spatial concentration. 20 . The computer program product of claim 18 , wherein the model comprises a formula comprising a form comprising Σ 0 n c n C T (t n )C R (t n ), wherein C T corresponds to the variable associated with an etch plasma species concentration, wherein C R corresponds to the variable associated with a patterning material concentration, wherein C T and C R are evaluated at n time intervals in the etch time, and t n and c n are etch rate coefficients.
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