I don't think the masks have to be a monolayer.
5+ nm thick SiN membranes from what I can see.
I'm not a He-nanopore mask scattering expert but looking at some of their recent papers and discussing/calculating this with Gemini,
I get the impression that stochastic blurring for 5 nm long channels is killing the resolution (2022 paper).
Therefore, some of the more recent simulations (2024 paper) were done with a monolayer (h-BN) and including (2025 paper) quantum interaction/scattering of the He atoms with the h-BN monolayer.
That made me wonder about (monolayer) MASK heating effects.
Any feedback appreciated.
-------------------------------------------------------------------------------------------------------------------------------------------------------------
An atom passing through a hole in a dielectric membrane: impact of dispersion forces on mask-based matter-wave lithography
Johannes Fiedler and Bodil Holst
Published 10 February 2022 • © 2022 IOP Publishing Ltd. All rights, including for text and data mining, AI training, and similar technologies, are reserved.
Journal of Physics B: Atomic, Molecular and Optical Physics,
Volume 55,
Number 2
Citation Johannes Fiedler and Bodil Holst 2022
J. Phys. B: At. Mol. Opt. Phys. 55 025401
DOI 10.1088/1361-6455/ac4b41
Abstract
Fast, large area patterning of arbitrary structures down to the nanometre scale is of great interest for a range of applications including the semiconductor industry, quantum electronics, nanophotonics and others. It was recently proposed that nanometre-resolution mask lithography can be realised by sending metastable helium atoms through a binary holography mask consisting of a pattern of holes. However, these first calculations were done using a simple scalar wave approach, which did not consider the dispersion force interaction between the atoms and the mask material. To access the true potential of the idea, it is necessary to access how this interaction affects the atoms. Here we present a theoretical study of the dispersion force interaction between an atom and a dielectric membrane with a hole. We look at metastable and ground state helium, using experimentally realistic wavelengths (0.05–1 nm) and membrane thicknesses (5–50 nm).
We find that the effective hole radius is reduced by around 1–7 nm for metastable helium and 0.5–3.5 nm for ground-state helium. As expected, the reduction is largest for thick membranes and slow atoms.
--------------------------------------------------------------------------------------------------------------------------
https://pubs.rsc.org/en/content/articlelanding/2024/na/d4na00322e
Atomic diffraction by nanoholes in hexagonal boron nitride†
Eivind Kristen Osestad

<span>ab</span>, Ekaterina Zossimova

<span>cd</span>, Michael Walter <span>de</span>, Bodil Holst

<span>ab</span> and Johannes Fiedler

*<span>a</span>
<span>a</span>Department of Physics and Technology, University of Bergen, Allégaten 55, 5007 Bergen, Norway. E-mail:
johannes.fiedler@uib.no
<span>b</span>Lace Lithography AS, Allégaten 55, 5007 Bergen, Norway
<span>c</span>Department of Physics and Astronomy, Living Systems Institute, University of Exeter, EX4 4QD, Exeter, UK
<span>d</span>Freiburg Center for Interactive Materials and Bioinspired Technologies (FIT), University of Freiburg, D-79110 Freiburg, Germany
<span>e</span>Institute of Physics, University of Freiburg, Hermann-Herder-Str. 3, 79104 Freiburg, Germany
Received 17th April 2024 , Accepted 21st August 2024
First published on 2nd September 2024
Fabricating patterned nanostructures with matter waves can help to realise new nanophotonic devices.
However, due to dispersion effects, designing patterns with nanoscale features is challenging. Here, we
consider the propagation of a helium matter wave through different holes in hexagonal boron nitride (h-
BN) as a case study for the weakest dispersion interaction and the matter wave's diffraction as it passes
through the holes. We use a quantum-mechanical model to calculate the polarisability of edge atoms
around the holes, where we observe polarisation ripples of enhanced and reduced polarisabilities around
the holes. We use these values to calculate van der Waals dispersion coefficients for the scattered
helium atoms. We find that the resulting diffraction patterns are affected by the shape and size of the
holes, where the smallest holes have a radius of just 6 Å. These results can be used to predict the
resolution limits of nano-hole patterns on nanophotonic materials.
---------------------------------------------------------------------------------------------------------------------------------------------------------------------
Atomic diffraction by patterned holes in hexagonal boron nitride: A comparison between semi-classical and quantum computational models
E. K. Osestad, E. Zossimova, M. Walter and J. Fiedler
Published 2 September 2025 • Copyright © 2025 EPLA. All rights, including for text and data mining, AI training, and similar technologies, are reserved
Europhysics Letters,
Volume 151,
Number 5
Focus Issue on Casimir Effect and Its Role in Modern Physics
Citation E. K. Osestad
et al 2025
EPL 151 55002
DOI 10.1209/0295-5075/adf994
Abstract– The diffraction of atoms and molecules through tiny, sub-nanometre holes in atomically thin membranes is a promising approach for advancing atom interferometry sensing and atomic holography. However, dispersion interactions, such as the Casimir-Polder force, pose a significant challenge by attracting diffracting particles to the membrane, limiting the minimum hole size. This paper presents a numerical simulation of helium matter-wave diffraction through sub-nanometre holes in hexagonal boron nitride by solving the time-dependent Schr¨odinger equation. Our results show that the transmission rates in the quantum approach are significantly higher than those predicted by the commonly used semi-classical approach. This suggests that significantly smaller holes can be used in the design of diffractive masks, provided that fabrication techniques can meet the atomic-level precision to realise such holes. Furthermore, we observe notable differences in diffraction patterns, even for atom velocities that are much greater than the expected convergence threshold between semi-classical and quantum computational models.