931:, the embedded electrons will take a much longer time to move to ground. Often the negative charge acquired by a substrate can be compensated or even exceeded by a positive charge on the surface due to secondary electron emission into the vacuum. The presence of a thin conducting layer above or below the resist is generally of limited use for high energy (50 keV or more) electron beams, since most electrons pass through the layer into the substrate. The charge dissipation layer is generally useful only around or below 10 keV, since the resist is thinner and most of the electrons either stop in the resist or close to the conducting layer. However, they are of limited use due to their high sheet resistance, which can lead to ineffective grounding.
889:, whereby electrons from exposure of an adjacent region spill over into the exposure of the currently written feature, effectively enlarging its image, and reducing its contrast, i.e., difference between maximum and minimum intensity. Hence, nested feature resolution is harder to control. For most resists, it is difficult to go below 25 nm lines and spaces, and a limit of 20 nm lines and spaces has been found. In actuality, though, the range of secondary electron scattering is quite far, sometimes exceeding 100 nm, but becoming very significant below 30 nm.
952:
scission in the polymer for positive tone exposure. In the case of PMMA, exposure of electrons at up to more than 1000 μC/cm, the gradation curve corresponds to the curve of a “normal” positive process. Above 2000 μC/cm, the recombinant crosslinking process prevails, and at about 7000 μC/cm the layer is completely crosslinked which makes the layer more insoluble than the unexposed initial layer. If negative PMMA structures should be used, a stronger developer than for the positive process is required. Such large dose increases may be required to avoid shot noise effects.
153:
815:. This point was driven home by a 2007 demonstration of double patterning using electron beam lithography in the fabrication of 15 nm half-pitch zone plates. Although a 15 nm feature was resolved, a 30 nm pitch was still difficult to do due to secondary electrons scattering from the adjacent feature. The use of double patterning allowed the spacing between features to be wide enough for the secondary electron scattering to be significantly reduced.
999:
461:
785:
317:
pattern area (≤mm for electron beam vs. ≥40 mm for an optical mask projection scanner). The stage moves in between field scans. The electron beam field is small enough that a rastering or serpentine stage motion is needed to pattern a 26 mm X 33 mm area for example, whereas in a photolithography scanner only a one-dimensional motion of a 26 mm X 2 mm slit field would be required.
2446:
20:
776:
high energies, but approaches a maximum limiting value at zero energy. On the other hand, it is already known that the mean free path at the lowest energies (few to several eV or less, where dissociative attachment is significant) is well over 10 nm, thus limiting the ability to consistently achieve resolution at this scale.
1014:. However, this is a very inefficient process, due to the inefficient transfer of momentum from the electron beam to the material. As a result, it is a slow process, requiring much longer exposure times than conventional electron beam lithography. Also high energy beams always bring up the concern of substrate damage.
994:
as the electron beam source. The data suggest that electrons with energies as low as 12 eV can penetrate 50 nm thick polymer resist. The drawback to using low energy electrons is that it is hard to prevent spreading of the electron beam in the resist. Low energy electron optical systems are
850:
A study by the
College of Nanoscale Science and Engineering (CNSE) presented at the 2013 EUVL Workshop indicated that, as a measure of electron blur, 50–100 eV electrons easily penetrated beyond 10 nm of resist thickness in PMMA or a commercial resist. Furthermore dielectric breakdown discharge
775:
This reaction, also known as "electron attachment" or "dissociative electron attachment" is most likely to occur after the electron has essentially slowed to a halt, since it is easiest to capture at that point. The cross-section for electron attachment is inversely proportional to electron energy at
926:
Since electrons are charged particles, they tend to charge the substrate negatively unless they can quickly gain access to a path to ground. For a high-energy beam incident on a silicon wafer, virtually all the electrons stop in the wafer where they can follow a path to ground. However, for a quartz
163:
Typically, for very small beam deflections, electrostatic deflection "lenses" are used; larger beam deflections require electromagnetic scanning. Because of the inaccuracy and because of the finite number of steps in the exposure grid, the writing field is of the order of 100 micrometre – 1 mm.
862:
In addition to producing secondary electrons, primary electrons from the incident beam with sufficient energy to penetrate the resist can be multiply scattered over large distances from underlying films and/or the substrate. This leads to exposure of areas at a significant distance from the desired
316:
E-beam lithography is not suitable for high-volume manufacturing because of its limited throughput. The smaller field of electron beam writing makes for very slow pattern generation compared with photolithography (the current standard) because more exposure fields must be scanned to form the final
951:
Due to the scission efficiency generally being an order of magnitude higher than the crosslinking efficiency, most polymers used for positive-tone electron-beam lithography will also crosslink (and therefore become negative tone) at doses an order of magnitude higher than the doses used to cause
336:
effects become predominant, leading to substantial natural dose variation within a large feature population. With each successive process node, as the feature area is halved, the minimum dose must double to maintain the same noise level. Consequently, the tool throughput would be halved with each
143:
Both electrostatic and magnetic lenses may be used. However, electrostatic lenses have more aberrations and so are not used for fine focusing. There is currently no mechanism to make achromatic electron beam lenses, so extremely narrow dispersions of the electron beam energy are needed for finest
846:
down to < 1 eV. This is necessary since the energy distribution of secondary electrons peaks well below 10 eV. Hence, the resolution limit is not usually cited as a well-fixed number as with an optical diffraction-limited system. Repeatability and control at the practical resolution
448:
Physical defects are more varied, and can include sample charging (either negative or positive), backscattering calculation errors, dose errors, fogging (long-range reflection of backscattered electrons), outgassing, contamination, beam drift and particles. Since the write time for electron beam
312:
during deflection), as well as time for other possible beam corrections and adjustments in the middle of writing. To cover the 700 cm surface area of a 300 mm silicon wafer, the minimum write time would extend to 7*10 seconds, about 22 years. This is a factor of about 10 million times
444:
occur in variable-shaped beam systems when the wrong shape is projected onto the sample. These errors can originate either from the electron optical control hardware or the input data that was taped out. As might be expected, larger data files are more susceptible to data-related defects.
98:
into an electron beam lithography system using relatively low cost accessories (< US$ 100K). Such converted systems have produced linewidths of ~20 nm since at least 1990, while current dedicated systems have produced linewidths on the order of 10 nm or smaller.
134:
for lower energy spread and enhanced brightness. Thermal field emission sources are preferred over cold emission sources, in spite of the former's slightly larger beam size, because they offer better stability over typical writing times of several hours.
943:). Hence, resist-substrate charging is not repeatable and is difficult to compensate consistently. Negative charging deflects the electron beam away from the charged area while positive charging deflects the electron beam toward the charged area.
934:
The range of low-energy secondary electrons (the largest component of the free electron population in the resist-substrate system) which can contribute to charging is not a fixed number but can vary from 0 to as high as 50 nm (see section
428:
Despite the high resolution of electron-beam lithography, the generation of defects during electron-beam lithography is often not considered by users. Defects may be classified into two categories: data-related defects, and physical defects.
851:
is possible. More recent studies have indicated that 20 nm resist thickness could be penetrated by low energy electrons (of sufficient dose) and sub-20 nm half-pitch electron-beam lithography already required double patterning.
1193:
Sunaoshi, H.; Tachikawa, Y.; Higurashi, H.; Iijima, T.; Suzuki, J.; Kamikubo, T.; Ohtoshi, K.; Anze, H.; Katsumata, T.; Nakayamada, N.; Hara, S.; Tamamushi, S.; Ogawa, Y. (2006). "EBM-5000: electron-beam mask writer for 45-nm node".
985:
To get around the secondary electron generation, it will be imperative to use low-energy electrons as the primary radiation to expose resist. Ideally, these electrons should have energies on the order of not much more than several
1232:
Chen, Frederick; Chen, Wei-Su; Tsai, Ming-Jinn; Ku, Tzu-Kun (2013). "Sidewall profile inclination modulation mask (SPIMM): modification of an attenuated phase-shift mask for single-exposure double and multiple patterning".
415:
Shot noise is a significant consideration even for mask fabrication. For example, a commercial mask e-beam resist like FEP-171 would use doses less than 10 ÎĽC/cm, whereas this leads to noticeable shot noise for a target
308:, the resulting minimum write time would be 10 seconds (about 12 days). This minimum write time does not include time for the stage to move back and forth, as well as time for the beam to be blanked (blocked from the
1165:
Kempsell, M.L.; Hendrickx, E.; Tritchkov, A.; Sakajiri, K.; Yasui, K.; Yoshitake, S.; Granik, Y.; Vandenberghe, G.; Smith, B.W. (2009). "Inverse lithography for 45-nm-node contact holes at 1.35 numerical aperture".
1884:
Wieland, M.; de Boer, G.; ten Berge, G.; Jager, R.; van de Peut, T.; Peijster, J.; Slot, E.; Steenbrink, S.; Teepen, T.; van Veen, A.H.V.; Kampherbeek, B.J. (2009). "MAPPER: high-throughput maskless lithography".
1009:
Another alternative in electron-beam lithography is to use extremely high electron energies (at least 100 keV) to essentially "drill" or sputter the material. This phenomenon has been observed frequently in
969:(HSQ) is a negative tone resist that is capable of forming isolated 2-nm-wide lines and 10 nm periodic dot arrays (10 nm pitch) in very thin layers. HSQ itself is similar to porous, hydrogenated SiO
93:
Electron-beam lithography systems used in commercial applications are dedicated e-beam writing systems that are very expensive (> US$ 1M). For research applications, it is very common to convert an
962:
A 20 nm resolution had also been demonstrated using a 3 nm 100 keV electron beam and PMMA resist. 20 nm unexposed gaps between exposed lines showed inadvertent exposure by secondary
955:
A study performed at the Naval
Research Laboratory indicated that low-energy (10–50 eV) electrons were able to damage ~30 nm thick PMMA films. The damage was manifest as a loss of material.
164:
Larger patterns require stage moves. An accurate stage is critical for stitching (tiling writing fields exactly against each other) and pattern overlay (aligning a pattern to a previously made one).
1785:
Yamazaki, Kenji; Kurihara, Kenji; Yamaguchi, Toru; Namatsu, Hideo; Nagase, Masao (1997). "Novel
Proximity Effect Including Pattern-Dependent Resist Development in Electron Beam Nanolithography".
863:
exposure location. For thicker resists, as the primary electrons move forward, they have an increasing opportunity to scatter laterally from the beam-defined location. This scattering is called
1534:
Dapor, M.; et al. (2010). "Monte Carlo modeling in the low-energy domain of the secondary electron emission of polymethylmethacrylate for critical-dimension scanning electron microscopy".
1480:
1217:
Ugajin, K.; Saito, M.; Suenaga, M.; Higaki, T.; Nishino, H.; Watanabe, H.; Ikenaga, O. (2007). "1-nm of local CD accuracy for 45-nm-node photomask with low sensitivity CAR for e-beam writer".
1716:
Chandramouli, M.; Liu, B.; Alberti, Z.; Abboud, F.; Hochleitner, G.; Wroczewski, W.; Kuhn, S.; Klein, C.; Platzgummer, E. (2022). "Multibeam mask requirements for advanced EUV patterning".
2014:
Cumming, D. R. S.; Thoms, S.; Beaumont, S. P.; Weaver, J. M. R. (1996). "Fabrication of 3 nm wires using 100 keV electron beam lithography and poly(methyl methacrylate) resist".
1027:
Despite the various intricacies and subtleties of electron beam lithography at different energies, it remains the most practical way to concentrate the most energy into the smallest area.
313:
slower than current optical lithography tools. It is clear that throughput is a serious limitation for electron beam lithography, especially when writing dense patterns over a large area.
1828:
Renoud, R; Attard, C; Ganachaud, J-P; Bartholome, S; Dubus, A (1998). "Influence on the secondary electron yield of the space charge induced in an insulating target by an electron beam".
1267:
Ichimura, Koji; Yoshida, Koji; Cho, Hideki; Hikichi, Ryugo; Kurihara, Masaaki (2022). "Characteristics of fine feature hole templates for nanoimprint lithography toward 2nm and beyond".
615:
467:
An incident electron (red) produces secondary electrons (blue). Sometimes, the incident electron may itself be backscattered as shown here and leave the surface of the resist (amber).
102:
Electron-beam lithography systems can be classified according to both beam shape and beam deflection strategy. Older systems used
Gaussian-shaped beams that scanned these beams in a
212:
877:
in optical projection systems. A large enough dose of backscattered electrons can lead to complete exposure of resist over an area much larger than defined by the beam spot.
1030:
There has been significant interest in the development of multiple electron beam approaches to lithography in order to increase throughput. This work has been supported by
676:
1908:
Chen, Frederick; Chen, Wei-Su; Tsai, Ming-Jinn; Ku, Tzu-Kun (2012). "Complementary polarity exposures for cost-effective line-cutting in multiple patterning lithography".
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In 2018, a thiol-ene resist was developed that features native reactive surface groups, which allows the direct functionalization of the resist surface with biomolecules.
523:
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in order to expose the resist without generating any secondary electrons, since they will not have sufficient excess energy. Such exposure has been demonstrated using a
959:
For the popular electron-beam resist ZEP-520, a pitch resolution limit of 60 nm (30 nm lines and spaces), independent of thickness and beam energy, was found.
1324:
449:
lithography can easily exceed a day, "randomly occurring" defects are more likely to occur. Here again, larger data files can present more opportunities for defects.
867:. Sometimes the primary electrons are scattered at angles exceeding 90 degrees, i.e., they no longer advance further into the resist. These electrons are called
711:
295:
275:
255:
235:
892:
The proximity effect is also manifest by secondary electrons leaving the top surface of the resist and then returning some tens of nanometers distance away.
886:
742:, one obtains by comparing cross-sections that half of the inelastic collisions of the incident electrons produce electrons with kinetic energy greater than
1391:
Seah, M. P.; Dench, W. A. (1979). "Quantitative electron spectroscopy of surfaces: A standard data base for electron inelastic mean free paths in solids".
1005:
A scanning probe can be used for low-energy electron beam lithography, offering sub-100 nm resolution, determined by the dose of low-energy electrons.
1655:
Denbeaux, G.; Torok, J.; Del Re, R.; Herbol, H.; Das, S.; Bocharova, I.; Paolucci, A.; Ocola, L.E.; Ventrice Jr., C.; Lifshin, E.; Brainard, R.L. (2013).
2392:
1508:
1020:
using electron beams is another possible path for patterning arrays with nanometer-scale periods. A key advantage of using electrons over photons in
475:
or collisions with other electrons. In such a collision the momentum transfer from the incident electron to an atomic electron can be expressed as
2547:
918:. However, it must be remembered that an error in the applied dose (e.g., from shot noise) would cause the proximity effect correction to fail.
2495:
1676:
1299:
2058:
1931:
Kruit, P.; Steenbrink, S.; Jager, R.; Wieland, M. (2004). "Optimum dose for shot noise limited CD uniformity in electron-beam lithography".
803:. However, the feature resolution limit is determined not by the beam size but by forward scattering (or effective beam broadening) in the
760:) at some distance away from the original collision. Additionally, they can generate additional, lower energy electrons, resulting in an
1255:
885:
The smallest features produced by electron-beam lithography have generally been isolated features, as nested features exacerbate the
1687:
1111:
Parker, N. W.; et al. (2000). Dobisz, Elizabeth A. (ed.). "High-throughput NGL electron-beam direct-write lithography system".
838:. Although the latter is basically an ionic lattice effect, polaron hopping can extend as far as 20 nm. The travel distance of
764:. Hence, it is important to recognize the significant contribution of secondary electrons to the spread of the energy deposition.
1011:
995:
also hard to design for high resolution. Coulomb inter-electron repulsion always becomes more severe for lower electron energy.
940:
332:
As features sizes shrink, the number of incident electrons at fixed dose also shrinks. As soon as the number reaches ~10000,
420:(CD) even on the order of ~200 nm on the mask. CD variation can be on the order of 15–20% for sub-20 nm features.
58:, is to create very small structures in the resist that can subsequently be transferred to the substrate material, often by
1316:
2385:
991:
50:
of the resist, enabling selective removal of either the exposed or non-exposed regions of the resist by immersing it in a
1082:
826:, low energy electrons can travel quite a far distance (several nm is possible). This is due to the fact that below the
795:
With today's electron optics, electron beam widths can routinely go down to a few nanometers. This is limited mainly by
1740:
1153:
847:
limit often require considerations not related to image formation, e.g., resist development and intermolecular forces.
106:
fashion. Newer systems use shaped beams that can be deflected to various positions in the writing field (also known as
65:
The primary advantage of electron-beam lithography is that it can draw custom patterns (direct-write) with sub-10
1420:"Calculations of electron inelastic mean free paths. V. Data for 14 organic compounds over the 50–2000 eV range"
842:
is not a fundamentally derived physical value, but a statistical parameter often determined from many experiments or
2435:
1762:
Ivin, V (2002). "The inclusion of secondary electrons and
Bremsstrahlung X-rays in an electron beam resist model".
59:
818:
The forward scattering can be decreased by using higher energy electrons or thinner resist, but the generation of
2485:
2420:
1038:, Mapper and IMS. IMS Nanofabrication has commercialized the multibeam-maskwriter and started a rollout in 2016.
823:
791:
The distance (r) traveled by a low energy electron affects the resolution and can be at least several nanometers.
536:
2378:
2334:
1047:
1017:
82:
1338:
Stoffels, E; Stoffels, W W; Kroesen, G M W (2001). "Plasma chemistry and surface processes of negative ions".
2004:, Proceedings of the 1st IEEE Intl. Conf. on Nano/Micro Engineered and Molecular Systems, pp. 391–394 (2006).
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912:
2125:
Shafagh, Reza; Vastesson, Alexander; Guo, Weijin; van der
Wijngaart, Wouter; Haraldsson, Tommy (2018).
1481:"Secondary electron generation in electron-beam-irradiated solids:resolution limits to nanolithography"
1966:
Bermudez, V. M. (1999). "Low-energy electron-beam effects on poly(methyl methacrylate) resist films".
452:
Photomask defects largely originate during the electron beam lithography used for pattern definition.
2475:
2259:
2224:
2185:
2073:
2023:
1975:
1940:
1837:
1794:
1629:
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1120:
1089:. SPIE Handbook of Microlithography, Micromachining and Microfabrication. Vol. 1. Archived from
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tool is much faster than an electron beam tool used at the same resolution for photomask patterning.
321:
123:
78:
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819:
808:
750:
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309:
152:
119:
95:
1563:"Long-distance charge transport in duplex DNA: The phonon-assisted polaron-like hopping mechanism"
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854:
As of 2022, a state-of-the-art electron multi-beam writer achieves about a 20 nm resolution.
478:
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2154:
2107:
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1810:
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796:
761:
404:
1256:
The
Significance of Point Spread Functions with Stochastic Behavior in Electron-Beam Lithography
784:
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1602:
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The minimum time to expose a given area for a given dose is given by the following formula:
55:
2526:
2401:
2338:
2126:
896:
460:
2213:"Field emission characteristics of the scanning tunneling microscope for nanolithography"
159:
Stitching is a concern for critical features crossing a field boundary (red dotted line).
2263:
2228:
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2077:
2027:
1979:
1944:
1841:
1798:
1633:
1578:
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1124:
471:
The primary electrons in the incident beam lose energy upon entering a material through
2521:
1021:
869:
696:
533:
is the incident electron velocity. The energy transferred by the collision is given by
280:
260:
240:
220:
1849:
1771:
973:. It may be used to etch silicon but not silicon dioxide or other similar dielectrics.
2541:
1857:
1814:
1620:
H. Seiler (1983). "Secondary electron emission in the scanning electron microscope".
1597:
1562:
1465:
1377:
1369:
1140:
440:
occur when the electron beam is not deflected properly when it is supposed to, while
2158:
42:
to draw custom shapes on a surface covered with an electron-sensitive film called a
2111:
987:
800:
2127:"E-Beam Nanostructuring and Direct Click Biofunctionalization of Thiol–Ene Resist"
1452:
Broers, A. N.; et al. (1996). "Electron beam lithography—Resolution limits".
1315:
Mason, Nigel J; Dujardin, G; Gerber, G; Gianturco, F; Maerk, T.D. (January 2008).
2298:
908:
237:
is the time to expose the object (can be divided into exposure time/step size),
103:
2049:
Manfrinato, Vitor R.; Zhang, Lihua; Su, Dong; Duan, Huigao; Hobbs, Richard G.;
895:
Proximity effects (due to electron scattering) can be addressed by solving the
2050:
1700:
1090:
874:
333:
47:
1522:
SPIE Newsroom: Double exposure makes dense high-resolution diffractive optics
728:, so the result is essentially inversely proportional to the binding energy.
2142:
1741:"Resist Requirements and Limitations for Nanoscale Electron-Beam Patterning"
1587:
928:
74:
66:
2306:
2285:
Egerton, R. F.; et al. (2004). "Radiation damage in the TEM and SEM".
2150:
2103:
1606:
903:
that leads to a dose distribution as close as possible to the desired dose
2445:
2250:
Hordon, L.S.; et al. (1993). "Limits of low-energy electron optics".
1435:
1404:
19:
1806:
1504:
1031:
39:
2094:
2059:"Resolution limits of electron-beam lithography toward the atomic scale"
1657:"Measurement of the role of secondary electrons in EUV resist exposures"
1656:
1154:
Faster and lower cost for 65 nm and 45 nm photomask patterning
432:
Data-related defects may be classified further into two sub-categories.
1725:
1276:
1242:
835:
822:
is inevitable. It is now recognized that for insulating materials like
301:
51:
2085:
1952:
1917:
1894:
1547:
1203:
1179:
1132:
407:
of population is about 5 standard deviations away from the mean dose.
2271:
2236:
2197:
2035:
1987:
1641:
831:
812:
804:
305:
43:
2212:
2173:
2331:
126:. However, systems with higher-resolution requirements need to use
2370:
2362:
2174:"Electron-beam lithography with the scanning tunneling microscope"
997:
783:
459:
300:
For example, assuming an exposure area of 1 cm, a dose of 10
151:
18:
2374:
2319:
693:
for collision is inversely proportional to the incident energy
689:
and the incident energy, one obtains the result that the total
529:
is the distance of closest approach between the electrons, and
1196:
Photomask and Next-Generation
Lithography Mask Technology XIII
73:
has high resolution but low throughput, limiting its usage to
1677:
Complexities of the
Resolution Limits of Advanced Lithography
1219:
Photomask and Next-Generation
Lithography Mask Technology XIV
16:
Lithographic technique that uses a scanning beam of electrons
1521:
2365:. IMS Nanofabrication(2011-12-07). Retrieved on 2019-02-28.
2353:. IMS Nanofabrication(2011-12-07). Retrieved on 2019-02-28.
2341:. Mapper Lithography (2010-01-18). Retrieved on 2011-08-27.
731:
By using the same integration approach, but over the range
2322:. Multibeamcorp.com (2011-03-04). Retrieved on 2011-08-27.
1702:
Electron Blur Impact on Electron Beam and EUV Lithography
346:
minimum dose for one-in-a-million 5% dose error (ÎĽC/cm)
2350:
1720:. SPIE Proceedings. Vol. 12293. pp. 122930O.
1271:. SPIE Proceedings. Vol. 12293. pp. 122930F.
1912:. SPIE Proceedings. Vol. 8326. pp. 83262L.
1889:. SPIE Proceedings. Vol. 7271. pp. 72710O.
699:
631:
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481:
283:
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243:
223:
181:
1237:. SPIE Proceedings. Vol. 8683. p. 868311.
1198:. SPIE Proceedings. Vol. 6283. p. 628306.
1024:
is the much shorter wavelength for the same energy.
807:, while the pitch resolution limit is determined by
2514:
2453:
2408:
1221:. SPIE Proceedings. Vol. 6607. pp. 90–97.
753:are capable of breaking bonds (with binding energy
1317:"EURONanochem – Chemical Control at the Nanoscale"
705:
670:
609:
517:
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269:
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1524:. Spie.org (2009-11-03). Retrieved on 2011-08-27.
1294:. Vol. 54. North-Holland. pp. 130–133.
1168:Journal of Micro/Nanolithography, MEMS, and MOEMS
830:the only energy loss mechanism is mainly through
122:sources (cathode), which are usually formed from
38:) is the practice of scanning a focused beam of
1418:Tanuma, S.; Powell, C. J.; Penn, D. R. (1994).
1292:Fundamentals of Surface and Thin Film Analysis
2386:
8:
1933:Journal of Vacuum Science & Technology B
23:An example of Electron beam lithograph setup
2393:
2379:
2371:
1968:Journal of Vacuum Science and Technology B
625:is the incident electron energy, given by
610:{\displaystyle T=(dp)^{2}/2m=e^{4}/Eb^{2}}
46:(exposing). The electron beam changes the
2093:
1664:International Workshop on EUV Lithography
1596:
1586:
1447:
1445:
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1115:. Emerging Lithographic Technologies IV.
698:
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2252:Journal of Vacuum Science and Technology
2217:Journal of Vacuum Science and Technology
2178:Journal of Vacuum Science and Technology
339:
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873:and have the same effect as long-range
899:and calculating the exposure function
77:fabrication, low-volume production of
1887:Alternative Lithographic Technologies
1561:P. T. Henderson; et al. (1999).
1340:Plasma Sources Science and Technology
7:
1830:Journal of Physics: Condensed Matter
678:. By integrating over all values of
456:Electron energy deposition in matter
424:Defects in electron-beam lithography
1787:Japanese Journal of Applied Physics
682:between the lowest binding energy,
207:{\displaystyle D\cdot A=T\cdot I\,}
54:(developing). The purpose, as with
1739:J. A. Liddle; et al. (2003).
1081:McCord, M A.; Rooks, M.J. (2000).
936:
14:
2211:Mayer, T.M.; et al. (1996).
118:Lower-resolution systems can use
2444:
1327:from the original on 2011-07-20.
1012:transmission electron microscopy
947:Electron-beam resist performance
465:Electron trajectories in resist:
1034:and start-up companies such as
941:extreme ultraviolet lithography
911:by the scattering distribution
767:In general, for a molecule AB:
411:Ref.: SPIE Proc. 8683-36 (2013)
2548:Lithography (microfabrication)
1424:Surface and Interface Analysis
1393:Surface and Interface Analysis
1083:"2. Electron beam lithography"
789:Low energy electron migration.
652:
638:
556:
546:
304:/cm, and a beam current of 10
148:Stage, stitching and alignment
1:
1772:10.1016/S0167-9317(02)00531-2
1536:J. Micro/Nanolith. MEMS MOEMS
1323:. European Space Foundation.
1290:L. Feldman; J. Mayer (1986).
1235:Optical Microlithography XXVI
992:scanning tunneling microscope
671:{\displaystyle E=(1/2)mv^{2}}
130:sources, such as heated W/ZrO
2299:10.1016/j.micron.2004.02.003
1910:Optical Microlithography XXV
1567:Proc. Natl. Acad. Sci. U.S.A
1466:10.1016/0167-9317(95)00368-1
518:{\displaystyle dp=2e^{2}/bv}
1850:10.1088/0953-8984/10/26/010
1764:Microelectronic Engineering
1745:Mater. Res. Soc. Symp. Proc
1454:Microelectronic Engineering
1003:Scanning probe lithography.
2569:
1370:10.1088/0963-0252/10/2/321
2442:
1321:Slovenian Research Agency
621:is the electron mass and
337:successive process node.
69:resolution. This form of
28:Electron-beam lithography
2172:Marrian, C.R.K. (1992).
1699:Chen, Frederick (2023).
1048:Electron beam technology
1018:Interference lithography
168:Electron beam write time
83:research and development
2461:Molecular self-assembly
2143:10.1021/acsnano.8b03709
2016:Applied Physics Letters
1874:, vol. 11, 1104 (1978).
1588:10.1073/pnas.96.15.8353
967:Hydrogen silsesquioxane
870:backscattered electrons
844:Monte Carlo simulations
128:field electron emission
1870:J. N. Helbert et al.,
1006:
792:
713:, and proportional to
707:
672:
611:
519:
468:
343:feature diameter (nm)
291:
271:
251:
231:
208:
160:
30:(often abbreviated as
24:
2320:Multibeam Corporation
1436:10.1002/sia.740210302
1405:10.1002/sia.740010103
1036:Multibeam Corporation
1001:
913:point spread function
787:
780:Resolution capability
708:
673:
612:
520:
463:
320:Currently an optical
297:is the area exposed.
292:
272:
257:is the beam current,
252:
232:
209:
155:
79:semiconductor devices
22:
2363:IMS Nanofabrications
2351:IMS Nanofabrications
1807:10.1143/JJAP.36.7552
1718:Photomask Technology
1505:10.3938/jkps.55.1720
1269:Photomask Technology
1058:Maskless lithography
1053:Ion beam lithography
927:substrate such as a
828:ionization potential
697:
629:
537:
479:
473:inelastic scattering
322:maskless lithography
281:
261:
241:
221:
179:
124:lanthanum hexaboride
71:maskless lithography
2264:1993JVSTB..11.2299H
2229:1996JVSTB..14.2438M
2190:1992JVSTB..10.2877M
2078:2013NanoL..13.1555M
2028:1996ApPhL..68..322C
1980:1999JVSTB..17.2512B
1945:2004JVSTB..22.2948K
1842:1998JPCM...10.5821R
1799:1997JaJAP..36.7552Y
1634:1983JAP....54R...1S
1579:1999PNAS...96.8353H
1497:2009JKPS...55.1720L
1485:J. Korean Phys. Soc
1352:2001PSST...10..311S
1125:2000SPIE.3997..713P
840:secondary electrons
820:secondary electrons
771:e + AB → AB → A + B
751:secondary electrons
96:electron microscope
2481:Magnetolithography
2337:2016-12-20 at the
2332:Mapper Lithography
1726:10.1117/12.2645895
1479:K. W. Lee (2009).
1277:10.1117/12.2643250
1243:10.1117/12.2008886
1007:
865:forward scattering
809:secondary electron
793:
703:
668:
607:
515:
469:
418:critical dimension
287:
267:
247:
227:
204:
161:
32:e-beam lithography
25:
2535:
2534:
2086:10.1021/nl304715p
2055:Berggren, Karl K.
1953:10.1116/1.1821577
1918:10.1117/12.912800
1895:10.1117/12.814025
1688:Resolution Limits
1573:(15): 8353–8358.
1548:10.1117/1.3373517
1301:978-0-444-00989-0
1204:10.1117/12.681732
1180:10.1117/1.3263702
1133:10.1117/12.390042
706:{\displaystyle E}
438:deflection errors
398:
397:
290:{\displaystyle A}
270:{\displaystyle D}
250:{\displaystyle I}
230:{\displaystyle T}
2560:
2448:
2395:
2388:
2381:
2372:
2366:
2360:
2354:
2348:
2342:
2329:
2323:
2317:
2311:
2310:
2282:
2276:
2275:
2272:10.1116/1.586894
2258:(B): 2299–2303.
2247:
2241:
2240:
2237:10.1116/1.588751
2208:
2202:
2201:
2198:10.1116/1.585978
2169:
2163:
2162:
2122:
2116:
2115:
2097:
2072:(4): 1555–1558.
2063:
2046:
2040:
2039:
2036:10.1063/1.116073
2011:
2005:
1998:
1992:
1991:
1988:10.1116/1.591134
1963:
1957:
1956:
1928:
1922:
1921:
1905:
1899:
1898:
1881:
1875:
1868:
1862:
1861:
1825:
1819:
1818:
1782:
1776:
1775:
1759:
1753:
1752:
1736:
1730:
1729:
1713:
1707:
1706:
1696:
1690:
1685:
1679:
1674:
1668:
1667:
1661:
1652:
1646:
1645:
1642:10.1063/1.332840
1617:
1611:
1610:
1600:
1590:
1558:
1552:
1551:
1531:
1525:
1519:
1513:
1512:
1507:. Archived from
1476:
1470:
1469:
1460:(1–4): 131–142.
1449:
1440:
1439:
1415:
1409:
1408:
1388:
1382:
1381:
1363:
1335:
1329:
1328:
1312:
1306:
1305:
1287:
1281:
1280:
1264:
1258:
1253:
1247:
1246:
1229:
1223:
1222:
1214:
1208:
1207:
1190:
1184:
1183:
1162:
1156:
1151:
1145:
1144:
1108:
1102:
1101:
1099:
1098:
1087:Microlithography
1078:
1063:Photolithography
887:proximity effect
881:Proximity effect
762:electron cascade
712:
710:
709:
704:
677:
675:
674:
669:
667:
666:
648:
616:
614:
613:
608:
606:
605:
593:
588:
587:
569:
564:
563:
524:
522:
521:
516:
508:
503:
502:
340:
296:
294:
293:
288:
277:is the dose and
276:
274:
273:
268:
256:
254:
253:
248:
236:
234:
233:
228:
213:
211:
210:
205:
157:Field stitching.
114:Electron sources
56:photolithography
2568:
2567:
2563:
2562:
2561:
2559:
2558:
2557:
2538:
2537:
2536:
2531:
2527:Nanoelectronics
2510:
2449:
2440:
2404:
2402:Nanolithography
2399:
2369:
2361:
2357:
2349:
2345:
2339:Wayback Machine
2330:
2326:
2318:
2314:
2284:
2283:
2279:
2249:
2248:
2244:
2210:
2209:
2205:
2171:
2170:
2166:
2124:
2123:
2119:
2061:
2048:
2047:
2043:
2013:
2012:
2008:
1999:
1995:
1965:
1964:
1960:
1930:
1929:
1925:
1907:
1906:
1902:
1883:
1882:
1878:
1869:
1865:
1827:
1826:
1822:
1784:
1783:
1779:
1761:
1760:
1756:
1738:
1737:
1733:
1715:
1714:
1710:
1698:
1697:
1693:
1686:
1682:
1675:
1671:
1659:
1654:
1653:
1649:
1619:
1618:
1614:
1560:
1559:
1555:
1533:
1532:
1528:
1520:
1516:
1478:
1477:
1473:
1451:
1450:
1443:
1417:
1416:
1412:
1390:
1389:
1385:
1361:10.1.1.195.9811
1337:
1336:
1332:
1314:
1313:
1309:
1302:
1289:
1288:
1284:
1266:
1265:
1261:
1254:
1250:
1231:
1230:
1226:
1216:
1215:
1211:
1192:
1191:
1187:
1164:
1163:
1159:
1152:
1148:
1110:
1109:
1105:
1096:
1094:
1080:
1079:
1075:
1071:
1044:
983:
972:
949:
924:
897:inverse problem
883:
860:
782:
758:
747:
736:
726:
718:
695:
694:
687:
658:
627:
626:
597:
579:
555:
535:
534:
494:
477:
476:
458:
426:
330:
279:
278:
259:
258:
239:
238:
219:
218:
177:
176:
170:
150:
141:
133:
116:
91:
17:
12:
11:
5:
2566:
2564:
2556:
2555:
2550:
2540:
2539:
2533:
2532:
2530:
2529:
2524:
2522:Nanotechnology
2518:
2516:
2512:
2511:
2509:
2508:
2503:
2498:
2496:Laser printing
2493:
2488:
2483:
2478:
2473:
2468:
2463:
2457:
2455:
2451:
2450:
2443:
2441:
2439:
2438:
2436:Scanning probe
2433:
2428:
2423:
2418:
2412:
2410:
2406:
2405:
2400:
2398:
2397:
2390:
2383:
2375:
2368:
2367:
2355:
2343:
2324:
2312:
2293:(6): 399–409.
2277:
2242:
2223:(B): 2438–44.
2203:
2184:(B): 2877–81.
2164:
2137:(10): 9940–6.
2117:
2051:Stach, Eric A.
2041:
2006:
1993:
1958:
1939:(6): 2948–55.
1923:
1900:
1876:
1872:Macromolecules
1863:
1820:
1777:
1766:. 61–62: 343.
1754:
1731:
1708:
1691:
1680:
1669:
1647:
1628:(11): R1–R18.
1612:
1553:
1526:
1514:
1511:on 2011-07-22.
1471:
1441:
1410:
1383:
1330:
1307:
1300:
1282:
1259:
1248:
1224:
1209:
1185:
1157:
1146:
1103:
1072:
1070:
1067:
1066:
1065:
1060:
1055:
1050:
1043:
1040:
1022:interferometry
982:
979:
975:
974:
970:
964:
960:
948:
945:
923:
920:
882:
879:
859:
856:
811:travel in the
781:
778:
773:
772:
756:
745:
734:
724:
716:
702:
685:
665:
661:
657:
654:
651:
647:
643:
640:
637:
634:
604:
600:
596:
592:
586:
582:
578:
575:
572:
568:
562:
558:
554:
551:
548:
545:
542:
514:
511:
507:
501:
497:
493:
490:
487:
484:
457:
454:
442:shaping errors
425:
422:
396:
395:
392:
388:
387:
384:
380:
379:
376:
372:
371:
368:
364:
363:
360:
356:
355:
352:
348:
347:
344:
329:
326:
286:
266:
246:
226:
215:
214:
202:
199:
196:
193:
190:
187:
184:
169:
166:
149:
146:
140:
137:
131:
115:
112:
90:
87:
15:
13:
10:
9:
6:
4:
3:
2:
2565:
2554:
2553:Electron beam
2551:
2549:
2546:
2545:
2543:
2528:
2525:
2523:
2520:
2519:
2517:
2513:
2507:
2504:
2502:
2499:
2497:
2494:
2492:
2489:
2487:
2484:
2482:
2479:
2477:
2474:
2472:
2469:
2467:
2464:
2462:
2459:
2458:
2456:
2452:
2447:
2437:
2434:
2432:
2429:
2427:
2424:
2422:
2421:Electron beam
2419:
2417:
2414:
2413:
2411:
2407:
2403:
2396:
2391:
2389:
2384:
2382:
2377:
2376:
2373:
2364:
2359:
2356:
2352:
2347:
2344:
2340:
2336:
2333:
2328:
2325:
2321:
2316:
2313:
2308:
2304:
2300:
2296:
2292:
2288:
2281:
2278:
2273:
2269:
2265:
2261:
2257:
2253:
2246:
2243:
2238:
2234:
2230:
2226:
2222:
2218:
2214:
2207:
2204:
2199:
2195:
2191:
2187:
2183:
2179:
2175:
2168:
2165:
2160:
2156:
2152:
2148:
2144:
2140:
2136:
2132:
2128:
2121:
2118:
2113:
2109:
2105:
2101:
2096:
2091:
2087:
2083:
2079:
2075:
2071:
2067:
2060:
2056:
2052:
2045:
2042:
2037:
2033:
2029:
2025:
2021:
2017:
2010:
2007:
2003:
1997:
1994:
1989:
1985:
1981:
1977:
1973:
1969:
1962:
1959:
1954:
1950:
1946:
1942:
1938:
1934:
1927:
1924:
1919:
1915:
1911:
1904:
1901:
1896:
1892:
1888:
1880:
1877:
1873:
1867:
1864:
1859:
1855:
1851:
1847:
1843:
1839:
1835:
1831:
1824:
1821:
1816:
1812:
1808:
1804:
1800:
1796:
1793:(12B): 7552.
1792:
1788:
1781:
1778:
1773:
1769:
1765:
1758:
1755:
1750:
1746:
1742:
1735:
1732:
1727:
1723:
1719:
1712:
1709:
1704:
1703:
1695:
1692:
1689:
1684:
1681:
1678:
1673:
1670:
1665:
1658:
1651:
1648:
1643:
1639:
1635:
1631:
1627:
1623:
1622:J. Appl. Phys
1616:
1613:
1608:
1604:
1599:
1594:
1589:
1584:
1580:
1576:
1572:
1568:
1564:
1557:
1554:
1549:
1545:
1542:(2): 023001.
1541:
1537:
1530:
1527:
1523:
1518:
1515:
1510:
1506:
1502:
1498:
1494:
1490:
1486:
1482:
1475:
1472:
1467:
1463:
1459:
1455:
1448:
1446:
1442:
1437:
1433:
1429:
1425:
1421:
1414:
1411:
1406:
1402:
1398:
1394:
1387:
1384:
1379:
1375:
1371:
1367:
1362:
1357:
1353:
1349:
1345:
1341:
1334:
1331:
1326:
1322:
1318:
1311:
1308:
1303:
1297:
1293:
1286:
1283:
1278:
1274:
1270:
1263:
1260:
1257:
1252:
1249:
1244:
1240:
1236:
1228:
1225:
1220:
1213:
1210:
1205:
1201:
1197:
1189:
1186:
1181:
1177:
1174:(4): 043001.
1173:
1169:
1161:
1158:
1155:
1150:
1147:
1142:
1138:
1134:
1130:
1126:
1122:
1118:
1114:
1107:
1104:
1093:on 2019-08-19
1092:
1088:
1084:
1077:
1074:
1068:
1064:
1061:
1059:
1056:
1054:
1051:
1049:
1046:
1045:
1041:
1039:
1037:
1033:
1028:
1025:
1023:
1019:
1015:
1013:
1004:
1000:
996:
993:
989:
981:New frontiers
980:
978:
968:
965:
961:
958:
957:
956:
953:
946:
944:
942:
938:
937:New frontiers
932:
930:
921:
919:
917:
914:
910:
906:
902:
898:
893:
890:
888:
880:
878:
876:
872:
871:
866:
857:
855:
852:
848:
845:
841:
837:
833:
829:
825:
821:
816:
814:
810:
806:
802:
798:
790:
786:
779:
777:
770:
769:
768:
765:
763:
759:
752:
748:
741:
737:
729:
727:
721:. Generally,
720:
700:
692:
691:cross section
688:
681:
663:
659:
655:
649:
645:
641:
635:
632:
624:
620:
602:
598:
594:
590:
584:
580:
576:
573:
570:
566:
560:
552:
549:
543:
540:
532:
528:
512:
509:
505:
499:
495:
491:
488:
485:
482:
474:
466:
462:
455:
453:
450:
446:
443:
439:
435:
430:
423:
421:
419:
413:
412:
408:
406:
402:
393:
390:
389:
385:
382:
381:
377:
374:
373:
369:
366:
365:
361:
358:
357:
353:
350:
349:
345:
342:
341:
338:
335:
327:
325:
323:
318:
314:
311:
307:
303:
298:
284:
264:
244:
224:
200:
197:
194:
191:
188:
185:
182:
175:
174:
173:
167:
165:
158:
154:
147:
145:
138:
136:
129:
125:
121:
113:
111:
109:
105:
100:
97:
88:
86:
84:
80:
76:
72:
68:
63:
61:
57:
53:
49:
45:
41:
37:
33:
29:
21:
2358:
2346:
2327:
2315:
2290:
2286:
2280:
2255:
2251:
2245:
2220:
2216:
2206:
2181:
2177:
2167:
2134:
2130:
2120:
2095:1721.1/92829
2069:
2065:
2044:
2019:
2015:
2009:
2001:
1996:
1971:
1967:
1961:
1936:
1932:
1926:
1909:
1903:
1886:
1879:
1871:
1866:
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2506:Proton beam
2431:Multiphoton
2426:Nanoimprint
1974:(6): 2512.
1491:(4): 1720.
797:aberrations
108:vector scan
2542:Categories
2501:Nanosphere
2022:(3): 322.
1430:(3): 165.
1346:(2): 311.
1113:Proc. SPIE
1097:2007-01-04
1069:References
963:electrons.
858:Scattering
334:shot noise
328:Shot noise
144:focusing.
120:thermionic
48:solubility
2486:Plasmonic
2066:Nano Lett
1858:250739239
1815:250783039
1378:250916447
1356:CiteSeerX
1141:109415718
929:photomask
909:convolved
198:⋅
186:⋅
75:photomask
40:electrons
2515:See also
2476:Ion beam
2335:Archived
2307:15120123
2159:52271550
2151:30212184
2131:ACS Nano
2104:23488936
2057:(2013).
2000:H. Yang
1607:10411879
1325:Archived
1042:See also
1032:SEMATECH
922:Charging
916:PSF(x,y)
836:polarons
749:. These
617:, where
525:, where
434:Blanking
302:coulombs
2466:Stencil
2416:Optical
2260:Bibcode
2225:Bibcode
2186:Bibcode
2112:1060983
2074:Bibcode
2024:Bibcode
1976:Bibcode
1941:Bibcode
1838:Bibcode
1795:Bibcode
1630:Bibcode
1575:Bibcode
1493:Bibcode
1348:Bibcode
1121:Bibcode
1119:: 713.
832:phonons
306:amperes
89:Systems
60:etching
52:solvent
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2287:Micron
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2102:
2002:et al.
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905:D(x,y)
901:E(x,y)
813:resist
805:resist
217:where
139:Lenses
104:raster
81:, and
44:resist
2471:X-ray
2454:Other
2155:S2CID
2108:S2CID
2062:(PDF)
1854:S2CID
1811:S2CID
1660:(PDF)
1598:17521
1399:: 2.
1374:S2CID
1137:S2CID
907:when
875:flare
719:– 1/E
401:Note:
394:4158
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2100:PMID
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1296:ISBN
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939:and
834:and
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