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= Proximity Error Correction (PEC) =
= Proximity Error Correction (PEC) =
[[Image:BEAMER_PEC.png|400x400px|thumb|Example of dose modulated design file after Proximity Error Correction.]]


Even though the electron beam diameter is only a few nm, the feature and pitch resolution in resist is limited by scattering of the electrons in the resist and substrate material. Forward scattering is scattering within the resist layer and it will have a broadening effect of the beam. The magnitude of this effect depends on acceleration voltage, resist composition and thickness of the resist layer. Back scattering is caused by electron-matter interaction in the substrate itself and electrons that are scattered back into the resist layer will provide a secondary (unwanted) exposure of the resist. The scattering distance is highly dependent on acceleration voltage and the substrate material. For a silicon substrate exposed at 100 kV the back scatter range is up to 30 µm and hence it is essential for many designs to account for this effect using PEC software. At DTU Nanolab we primarily use Beamer from GenISys for PEC. The PEC process will result in a dose modulated design file where the relative exposure dose has been modulated to ensure that all parts of the design receives a uniform dose regardless of whether a design feature is in a sparsely populated or a heavily populated area of the design. For more information on PEC and use of Beamer please refer to our dedicated [http://labadviser.nanolab.dtu.dk/index.php/Specific_Process_Knowledge/Lithography/EBeamLithography/BEAMER Beamer page.]
Even though the electron beam diameter is only a few nm, the feature and pitch resolution in resist is limited by scattering of the electrons in the resist and substrate material. Forward scattering is scattering within the resist layer and it will have a broadening effect of the beam. The magnitude of this effect depends on acceleration voltage, resist composition and thickness of the resist layer. Back scattering is caused by electron-matter interaction in the substrate itself and electrons that are scattered back into the resist layer will provide a secondary (unwanted) exposure of the resist. The scattering distance is highly dependent on acceleration voltage and the substrate material. For a silicon substrate exposed at 100 kV the back scatter range is up to 30 µm and hence it is essential for many designs to account for this effect using PEC software. At DTU Nanolab we primarily use Beamer from GenISys for PEC. The PEC process will result in a dose modulated design file where the relative exposure dose has been modulated to ensure that all parts of the design receives a uniform dose regardless of whether a design feature is in a sparsely populated or a heavily populated area of the design. For more information on PEC and use of Beamer please refer to our dedicated [[/BEAMER|Beamer page.]]
 
[[/BEAMER|Beamer page.]]
 
[[/Wire Bonder#Ball Wire Bonder K&S 4524|Ball Wire Bonder]]
 
 
== Proximity Error Correction (PEC) in BEAMER ==
 
[[Image:BEAMER_PEC.png|500x500px|thumb|Example of dose modulated design file after Proximity Error Correction.]]
 
BEAMER is endowed with a software that corrects for proximity errors in the e-beam exposure. You can read more about this function in the BEAMER manual [[Specific_Process_Knowledge/Lithography/EBeamLithography/BEAMER|here]] and in the BEAMER presentation here [[media:BEAMERPresentation.pdf‎|BEAMERPresentation.pdf‎]].
 
The proximity error correction require a forward and a backward range parameter, alfa and beta, and a ratio of backscattered energy to the forward scattered energy, eta. As alfa depends on the electron acceleration voltage, which is constant at 100kV, alfa is in BEAMER fixed to 0.007. Help to find beta and eta can be found [http://nanolithography.gatech.edu/proximity.htm here].
 
Alternatively, a [http://en.wikipedia.org/wiki/Proximity_effect_%28electron_beam_lithography%29 point-spread function] can be used in BEAMER to calculate the optimised dose-variation.
 
 
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== Trilayer resist stack ==
== Trilayer resist stack ==