TW200416491A - Overcoating composition for photoresist and method for forming photoresist pattern using the same - Google Patents

Overcoating composition for photoresist and method for forming photoresist pattern using the same Download PDF

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TW200416491A
TW200416491A TW092134384A TW92134384A TW200416491A TW 200416491 A TW200416491 A TW 200416491A TW 092134384 A TW092134384 A TW 092134384A TW 92134384 A TW92134384 A TW 92134384A TW 200416491 A TW200416491 A TW 200416491A
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photoresist
patent application
item
scope
polymer
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TW092134384A
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Chinese (zh)
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TWI293721B (en
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Cheol-Kyu Bok
Seung-Chan Moon
Ki-Soo Shin
Jae-Chang Jung
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Hynix Semiconductor Inc
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    • GPHYSICS
    • G03PHOTOGRAPHY; CINEMATOGRAPHY; ANALOGOUS TECHNIQUES USING WAVES OTHER THAN OPTICAL WAVES; ELECTROGRAPHY; HOLOGRAPHY
    • G03FPHOTOMECHANICAL PRODUCTION OF TEXTURED OR PATTERNED SURFACES, e.g. FOR PRINTING, FOR PROCESSING OF SEMICONDUCTOR DEVICES; MATERIALS THEREFOR; ORIGINALS THEREFOR; APPARATUS SPECIALLY ADAPTED THEREFOR
    • G03F7/00Photomechanical, e.g. photolithographic, production of textured or patterned surfaces, e.g. printing surfaces; Materials therefor, e.g. comprising photoresists; Apparatus specially adapted therefor
    • G03F7/004Photosensitive materials
    • G03F7/039Macromolecular compounds which are photodegradable, e.g. positive electron resists
    • G03F7/0392Macromolecular compounds which are photodegradable, e.g. positive electron resists the macromolecular compound being present in a chemically amplified positive photoresist composition
    • G03F7/0395Macromolecular compounds which are photodegradable, e.g. positive electron resists the macromolecular compound being present in a chemically amplified positive photoresist composition the macromolecular compound having a backbone with alicyclic moieties
    • GPHYSICS
    • G03PHOTOGRAPHY; CINEMATOGRAPHY; ANALOGOUS TECHNIQUES USING WAVES OTHER THAN OPTICAL WAVES; ELECTROGRAPHY; HOLOGRAPHY
    • G03FPHOTOMECHANICAL PRODUCTION OF TEXTURED OR PATTERNED SURFACES, e.g. FOR PRINTING, FOR PROCESSING OF SEMICONDUCTOR DEVICES; MATERIALS THEREFOR; ORIGINALS THEREFOR; APPARATUS SPECIALLY ADAPTED THEREFOR
    • G03F7/00Photomechanical, e.g. photolithographic, production of textured or patterned surfaces, e.g. printing surfaces; Materials therefor, e.g. comprising photoresists; Apparatus specially adapted therefor
    • G03F7/26Processing photosensitive materials; Apparatus therefor
    • G03F7/40Treatment after imagewise removal, e.g. baking

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  • Physics & Mathematics (AREA)
  • Spectroscopy & Molecular Physics (AREA)
  • General Physics & Mathematics (AREA)
  • Photosensitive Polymer And Photoresist Processing (AREA)
  • Exposure And Positioning Against Photoresist Photosensitive Materials (AREA)
  • Materials For Photolithography (AREA)

Abstract

Overcoating compositions for photoresist and methods for reducing linewidth of the photoresist patterns are disclosed. More specifically, an overcoating composition containing acids is coated on a whole surface of a photoresist pattern formed by a common lithography process to diffuse the acids into the photoresist pattern. The photoresist in the portion where the acids are diffused is developed with an alkali solution to be removed. As a result, the linewidth of positive photoresist patterns can be reduced, and the linewidth of negative photoresist patterns can be prevented from slimming in a subsequent linewidth measurement process using SEM.

Description

200416491 玖、發明說明: 【發明所屬之技術領域】 $I明揭不光阻劑之外塗層組合物及降低該光阻劑圖案 線寬之方法。f緯今+ ,, ^ f 5之,在由一般微影蝕刻製程所形成之 ,阻劑圖案全體表面上塗佈含酸之外塗層組合物而使酸擴 ^入光阻劑圖案中。其中擴散有酸之該部分光阻劑以驗性 岭液顯景’而移除。結果,可降低正型光阻劑圖案之線寬, 、可避免負型光阻劑圖案之、線寬在隨後之使用sem之線寬 測量方法中變得更細。 【先前技術】 傳、、充上,已增加曝光能量以降低光阻劑圖案之線寬。 而雖然上述方法極有效地降低光阻劑圖案之線寬, 但,據能量增加所繞射之光量變得太大,如圖〗所示。結果 ,私除部分光阻劑圖案(丨0),且光阻劑圖案轉變為三角 形。又,光阻劑圖案2〇之厚度降低。 該三角形輪廓及降低阻劑之厚度使隨後之蝕刻製程退化 二特定言之,當測量圖案線寬時,該三角形圖案使再製性 劣化,且轉謄成底膜而使隨後之蝕刻圖案轉變成三角形。 結果,增加阻抗。 阻Μ厚度降低無法在蝕刻底膜之製程中對電漿發揮掩蔽 功能。結果,蝕刻圖案轉變並破裂。200416491 (1) Description of the invention: [Technical field to which the invention belongs] $ I 明 解 A photoresist coating composition and a method for reducing the line width of the photoresist pattern. f + +, ^ f 5 is formed by a general lithographic etching process, and the entire surface of the resist pattern is coated with an acid-containing outer coating composition to spread the acid into the photoresist pattern. The portion of the photoresist in which the acid is diffused is removed by the experimental ridge solution '. As a result, the line width of the positive photoresist pattern can be reduced, and the line width of the negative photoresist pattern can be avoided to be finer in the subsequent line width measurement method using sem. [Previous technology] The transmission energy has been increased to increase the exposure energy to reduce the line width of the photoresist pattern. Although the above method is extremely effective in reducing the line width of the photoresist pattern, the amount of light diffracted becomes too large according to the increase in energy, as shown in FIG. As a result, a part of the photoresist pattern (0) was removed, and the photoresist pattern was changed into a triangle shape. In addition, the thickness of the photoresist pattern 20 is reduced. The triangle profile and the reduction of the thickness of the resist degrade the subsequent etching process. In particular, when the pattern line width is measured, the triangle pattern deteriorates the reproducibility, and turns into a base film to make the subsequent etching pattern into a triangle. . As a result, the impedance is increased. The reduction in the thickness of the M-blocker cannot provide a masking function to the plasma in the process of etching the base film. As a result, the etching pattern is transformed and cracked.

,當形成負型光阻劑圖案時,藉由設定臨界尺寸(後文稱 了〇’)標的而進行SEM測量。該sem測量隨後之立即〔ο幾= 與5亥標的相同。然而,在SEM測量後10分鐘内,該圖案CD 89641 200416491 減小,因測量製程期間光阻劑組合物中產生之高能量電子 束之故。 由於在超微細高積體之半導體製造中遠紫外線光源如 Ar*F (193 nm)及VUV (157 nm)而使該圖案CD更減小。 滿足各種物理性質如低光吸收度、高蝕刻、優異基材黏 著性、對光源之透明性及於鹼性顯影劑中之顯影能力之1 93 案C D減小。When a negative photoresist pattern is formed, SEM measurement is performed by setting a target of a critical dimension (hereinafter referred to as 0 '). This sem measurement is immediately followed by [ο several = the same as the 5 Hai standard. However, within 10 minutes after SEM measurement, the pattern CD 89641 200416491 decreased due to the high-energy electron beam generated in the photoresist composition during the measurement process. The pattern CD is further reduced due to the far-ultraviolet light sources such as Ar * F (193 nm) and VUV (157 nm) in the manufacture of ultra-fine high-concentration semiconductors. It satisfies various physical properties such as low light absorption, high etching, excellent substrate adhesion, transparency to light sources, and developing ability in alkaline developers. The CD is reduced.

【發明内容】 nm及157 nm之大部分光阻劑組合物並未包含芳族材料,其 可減緩自SEM測量製程中產生之高能量電子束。結果,圖 之曝光時間而使[Summary of the Invention] Most photoresist compositions at nm and 157 nm do not contain aromatic materials, which can slow down the high-energy electron beams generated during the SEM measurement process. As a result, the exposure time

【實施方式】 之外塗層組合物。 示之外塗層組合物形成光阻 阻劑圖 包括水可溶聚合物、 褐不一種光阻劑之外塗層組合物, 酸性化合物及水。[Embodiment] An outer coating composition. The photoresist pattern of the outer coating composition is shown, including water-soluble polymer, brown photoresist outer coating composition, acidic compound and water.

之化合物或聚 乙細基P比σ各燒 89641 200416491 式1Compound or polyethylenyl P ratio σ 89641 200416491 Formula 1

其中 11’為 Η或 CH3 ; R5及R6獨立為Η或Ci-C3烷基;及 η為重複單元數。 該η為50至150之整數且式1化合物之分子量範圍自5〇〇〇 至 1 5000 〇 式1化合物較好為聚(Ν,Ν-二甲基丙烯醯胺)。 该酸性化合物可為有機磺酸例如對-曱笨磺酸單水合物 。該酸性化合物存在量為水可溶聚合物量之2至20重量%之 範圍,較好為5至1〇重量%之範圍。 蒸餾水可作為組合物 可溶聚合物量之5 〇 〇至 2 0 0 0重量。/。之範圍。 之溶劑之水。水存在量為存在之水 4000重量%之範圍,較好在500至 一種形成光阻劑圖案之方法,包括·· 〇)藉微影蝕刻製程形成光阻劑圖案; 述外塗層組合物 而 (b)在該光阻劑圖案整個表面上塗佈上 形成外塗層; (C)供烤該外塗層;及 ⑷以鹼性顯影溶液使該外塗層顯影 89641 200416491 其中藉微影蝕刻製程形成光阻劑圖幸 口系之步驟(a)包括·· (a-1)在半導體基材上塗佈化學增大之 〈先阻劑組合物並烘 烤該基材形成光阻劑薄膜; (a-2)使光阻劑薄膜曝光; (a-3)烘烤該光阻劑薄膜;及 (a-4)使光阻劑薄膜顯影。 較好,步驟(a)所得之光阻劑圖案在步 知(a -1)中塗佈之高 度範圍自2000至3000埃,且步驟(b)中卜 y卜塗層厚度範圍在 200至5000埃,均從步驟(a)之光阻劑 M糸之上表面計算。 步驟(C)之烘烤製程為酸擴散烘烤製 。 且季乂好在50至150 C之 &gt;里度範圍進行3 0至9 0秒。 進打該烘烤製程以使自外塗層跑出之酸擴散入該光阻劑 圖案中。結果,具有酸之光阻劑圖案區域增加且豆可藉鹼 性顯影溶液移除。此處,因酸擴散烘烤製程溫度變高:外 塗層厚度變厚’該酸擴散距離變長。據此,圖案寬度可使 用上述理論予以調節。 步驟⑷之驗性顯影溶液可為TMAH、K〇H或Na〇H水溶液。 傳統上,外塗層組合物係在形成光阻劑圖案之前塗佈在 光阻劑薄膜上,接著進行隨後之光微影蝕刻製程。 但,藉一般微影蝕刻製程形成光阻劑圖案之後,將所揭 示之外塗層組合物塗佈在該光阻劑圖案之整個表面上。接 著’進行該烘烤製程以獲得微細圖案。 亦即,在光阻劑圖案整個表面上形成所揭示之组合物, 且接著進行該烘烤製程以使酸擴散入該光阻劑圖案中。接 89641 200416491 著,已擴散入酸之光阻割圖案區 結果,可降低圖案之線寬。 g w性顯影溶液移除。 形成負型圖案之&amp;,於其上 。接著在所得結構上進行供烤:揭不之外塗層經合物 中之酸吸收入圓案之上衣王結果,包含在組合物 程以測量線寬,因 菜更化。進行SEM製 避免圖案變得更細。 此方式令’所揭示之外塗層 之光阻劑圖案上之組合物。 马外塗佈在預先形成 依據較佳具體例之脾 以說明。 茶之方去將參考附圖更詳細加 參考圖2 a,化學增 體基材(未圖示)上, 光阻劑薄膜曝光 步驟(a-Ι)中塗佈 3000埃之範圍。 之光阻劑組合物(未圖示)塗佈在半導 並烘烤形成光阻劑薄膜(未圖示)。 火、烤及顯影形成光阻劑圖案1 〇 〇。 之光阻劑圖案100高度較好自2000至 ,'何-般化學增A之光阻劑可用於該光阻劑組合物。較 ::省光阻劑組合物包括具有式2之重複單元之光聚合 物:Wherein 11 'is fluorene or CH3; R5 and R6 are independently fluorene or Ci-C3 alkyl; and η is the number of repeating units. The η is an integer of 50 to 150 and the molecular weight of the compound of Formula 1 ranges from 5000 to 15,000. The compound of Formula 1 is preferably poly (N, N-dimethylacrylamide). The acidic compound may be an organic sulfonic acid such as p-ammonium sulfonic acid monohydrate. The acidic compound is present in a range of 2 to 20% by weight, and preferably in a range of 5 to 10% by weight, based on the amount of water-soluble polymer. Distilled water can be used as the composition's soluble polymer in an amount of 5,000 to 2,000 weight. /. Range. Solvent water. The amount of water present is in the range of 4,000% by weight of the water present, preferably from 500 to a method of forming a photoresist pattern, including ... forming a photoresist pattern by a lithographic etching process; said overcoat composition and (b) forming an overcoat layer on the entire surface of the photoresist pattern; (C) baking the overcoat layer; and using an alkaline developing solution to develop the overcoat layer 89641 200416491 where lithographic etching is used Step (a) of forming a photoresist in the manufacturing process includes (a-1) coating a semiconductor substrate with a chemically-enhanced <pre-resistor composition and baking the substrate to form a photoresist film. (A-2) exposing the photoresist film; (a-3) baking the photoresist film; and (a-4) developing the photoresist film. Preferably, the photoresist pattern obtained in step (a) has a coating height ranging from 2000 to 3000 angstroms in step (a-1), and a coating thickness ranging from 200 to 5000 in step (b). Angstroms are calculated from the upper surface of the photoresist M 糸 in step (a). The baking process in step (C) is an acid diffusion baking process. And Ji Jiu performed in the range of 50 to 150 C for> 30 to 90 seconds. The baking process is performed to diffuse the acid escaping from the outer coating into the photoresist pattern. As a result, the area of the photoresist pattern with acid is increased and the beans can be removed by the alkaline developing solution. Here, because the temperature of the acid diffusion baking process becomes higher: the thickness of the overcoat layer becomes thicker ', the acid diffusion distance becomes longer. Accordingly, the pattern width can be adjusted using the above theory. The experimental developing solution in step (2) may be TMAH, KOH or NaOH solution. Traditionally, the overcoat composition is coated on a photoresist film before forming a photoresist pattern, followed by a subsequent photolithographic etching process. However, after the photoresist pattern is formed by a general lithographic etching process, the disclosed outer coating composition is coated on the entire surface of the photoresist pattern. Then, this baking process is performed to obtain a fine pattern. That is, the disclosed composition is formed on the entire surface of the photoresist pattern, and then the baking process is performed to diffuse the acid into the photoresist pattern. From 89641 200416491, the photocut pattern area that has diffused into the acid can reduce the line width of the pattern. g w sex developing solution is removed. Form &amp; on the negative pattern. The resulting structure is then baked: the acid in the outer coating compound is absorbed into the upper case and the result is included in the composition process to measure the line width as the dish changes. SEM production is used to prevent the pattern from becoming finer. In this way, the composition on the photoresist pattern of the outer coating disclosed by 'is used. The horse is externally coated on a spleen formed in accordance with a preferred specific example in advance for illustration. The tea recipe will be described in more detail with reference to the drawings. Referring to FIG. 2a, a photoresist film is exposed on the chemically amplified substrate (not shown) in the step (a-1) in the range of 3000 angstroms. The photoresist composition (not shown) is coated on a semiconductor and baked to form a photoresist film (not shown). Fire, bake and develop to form a photoresist pattern 100. The height of the photoresist pattern 100 is preferably from 2000 to 2000, and the photoresist of Ho-like chemical A can be used in the photoresist composition. :: Comparative photoresist composition includes a photopolymer having a repeating unit of Formula 2:

其中X ΛΤ 、 1 2、Υι、γ2、z丨及 z2獨立為 0:^12或(:ϋ2ί:Η2 ; 89641 200416491Where X ΛΤ, 1 2, Υι, γ2, z 丨 and z2 are independently 0: ^ 12 or (: ϋ2ί: Η2; 89641 200416491

Rl R3及R4獨立選自Η、經取代之Ci-Cio烷基及未經取代 之C 1 - C 1 〇烷基所組成之組群; R2為Κ1()經基烧基; R*為酸不安定之保護基; P、q及r獨立為〇至2之整數;及 a · b · C · d之相對比例在5至9 0莫耳% : 5至9 0莫耳% : 0 至90莫耳% : 0至9〇莫耳%之範圍。 可藉酸脫離之該酸不安定保護基決定PR材料之鹼性顯影 劑浴液之溶液。亦即,該酸不安定之保護基可避免化合物 溶於鹼性顯影劑溶液中。若該酸不安定之保護基藉曝光所 產生之酸而脫離時,該PR材料可溶於顯影劑溶液中。有些 ¥头之S义不女疋之保護基揭示於美國專利號$,2 1 2,〇 4 3 (1993 年 5 月 18 日)、W0 97/3 3 198 (1997 年 9 月 12 日)、WO 96/37526 (1996年 11 月 28 日)、EP 0 794 458 (1997年 9月 10 曰)EP 0 789 2 78 (1997年 8 月 13 曰)、美國專利號 5,75〇,68〇 (1998年5月12曰)、美國專利號M51,678 (2000年4月18日) 、GB 2,345,286 A (20 ⑻年 7月5日)、美國專利號6,132,926 (2000年10月17日)、美國專利號6,143,463 (2〇〇〇年η月7曰) 、美國專利號6,150,069 (2000年美國專利號 6,180,316 B1 月3G日)、美國專利號6刀5,㈣w (2001年5月1日)、美國專利號6,235,448 m (2〇〇1年$月κ 曰)及美國專利號6,235,447 31(2〇〇1年5月22日)。較好,該 四氫叶I:喃-2 -基、2 -甲 2_甲基四氫呋喃-2-基 酸不安定之保護基係選自第三丁基、 基-四氫卩比喃_ 2 -基、四氫吱喃_ 2 -基、 89641 -11 - 200416491 、b曱氧基丙基、1-甲氧基-1-曱基乙基、1-乙氧基丙基、 I-乙氧基-1-甲基乙基、1-甲氧基乙基、1-乙氧基乙基、第 一 丁氧基乙基及1-異丁基乙基所組成之組群。 該光阻劑聚合物包括含具有上式2所示之環-烯烴主鏈之 重複單元之第一聚合物及具有重複單元丙稀酸g旨主鏈之第 '一聚合物。 較好,該丙烯酸酯主鏈包括聚甲基丙烯酸{4-[2-(4-羥基 本基)-1,1,1,3,3,3-六氣丙基]笨基|旨/甲基丙稀酸 (i,l,l,3,3,3-六氟-2-第三丁基羧酸酯)異丙基酯}、聚[N-全 氟丙基順丁烯二醯亞胺/第三丁基-5-原冰片烯羧酸酯/甲 基丙烯酸2-(全氟-辛基)乙基酯]或聚(順丁烯二酸酐/六氟丁 基-5-原冰片烯羧酸酯/丙烯酸2,6-二氟甲基节基酯)。 步驟(a-2)之曝光源係選自ArF (193 nm)、KrF (248 nm)、 F2 (157 nm)及EUV (13 nm)所成之組群。步驟(a_2)之曝光能 量範圍自10至30mJ/cm2。 如圖2b所示,外塗層組合物1〇2塗佈在圖之上述方法所 形成之光阻劑圖案100上。R1, R3, and R4 are independently selected from the group consisting of fluorene, substituted Ci-Cio alkyl groups, and unsubstituted C 1 -C 1 0 alkyl groups; R2 is K1 () via alkyl; R * is an acid Unstable protecting groups; P, q and r are independently integers of 0 to 2; and the relative proportion of a · b · C · d is 5 to 90 mole%: 5 to 90 mole%: 0 to 90 Molar%: A range of 0 to 90 Molar%. The solution of the alkaline developer bath of the PR material can be determined by the acid labile protective group which can be removed by the acid. That is, the acid-labile protecting group prevents the compound from dissolving in the alkaline developer solution. If the acid-labile protective group is detached by the acid generated by exposure, the PR material is soluble in the developer solution. The protection bases of some Shoubuyiyi's sons and daughters are disclosed in US Patent Nos. 2,122,043 (May 18, 1993), WO 97/3 3 198 (September 12, 1997), WO 96/37526 (November 28, 1996), EP 0 794 458 (September 10, 1997) EP 0 789 2 78 (August 13, 1997), US Patent No. 5,75,68 ( May 12, 1998), US Patent No. M51,678 (April 18, 2000), GB 2,345,286 A (July 5, 20), US Patent No. 6,132,926 (October 17, 2000) US Patent No. 6,143,463 (on January 7, 2000) US Patent No. 6,150,069 (2000 US Patent No. 6,180,316 B January 3G) US Patent No. 6 Knife 5, ㈣w (2001 (May 1, 2010), US Patent No. 6,235,448 m (2001), and US Patent No. 6,235,447 31 (May 22, 2001). Preferably, the tetrahydro leaf I: ran-2-yl group, 2-methyl-2-methyltetrahydrofuran-2-yl acid unstable protecting group is selected from the group consisting of a third butyl group, a tetrahydropyranobiran-2 -Yl, tetrahydrocyclo-2-yl, 89641 -11-200416491, b-methoxypropyl, 1-methoxy-1-fluorenylethyl, 1-ethoxypropyl, I-ethoxy Group consisting of 1-methylethyl, 1-methoxyethyl, 1-ethoxyethyl, first butoxyethyl and 1-isobutylethyl. The photoresist polymer includes a first polymer having a repeating unit having a cyclic-olefin main chain shown in the above formula 2 and a first polymer having a repeating unit of acrylic acid and a main chain. Preferably, the acrylate backbone includes polymethacrylic {4- [2- (4-hydroxybenzyl) -1,1,1,3,3,3-hexafluoropropyl] benzyl | Acrylic acid (i, l, l, 3,3,3,3-hexafluoro-2-third butyl carboxylic acid ester) isopropyl ester}, poly [N-perfluoropropylcisbutene difluorene Amine / Third-Butyl-5-orbornene carboxylate / 2- (Perfluoro-octyl) ethyl methacrylate] or Poly (maleic anhydride / hexafluorobutyl-5-orbornyl Enecarboxylate / 2,6-difluoromethyl benzyl acrylate). The exposure source in step (a-2) is selected from the group consisting of ArF (193 nm), KrF (248 nm), F2 (157 nm), and EUV (13 nm). The exposure energy in step (a_2) ranges from 10 to 30 mJ / cm2. As shown in Fig. 2b, the overcoat composition 102 is coated on the photoresist pattern 100 formed by the method described above.

至5000埃之範圍。 面計算,為200To 5000 angstroms. Area calculation, 200

入圖案上端部分。結果 阻劑圖案中之區域104。 案時’包含在組合物中之酸擴散 圖案之上端部分硬化(未圖示)。 89641 200416491 二供烤製程較好在50至i 5Gt之溫度範圍進行观9〇秒。 且:圖广之烘烤製程增加光阻劑圖案中具有酸之區域後, 酸之區域104以驗性顯影溶液移除而形成其線寬降低 ▲圖2d所不或其表面已硬化之光阻劑圖案1 。 車乂好錢性顯影溶液可為頂紐、κ〇Η或水溶液。 由於圖案線寬與鹼處理時間成比例地變小,所需之線寬 可错由調節處理時間而獲得。若鹼性顯影溶液濃度變高, 則阻劑材料之移除速率變快。結果,彳改善生產量。本文 中具有酸之區域較好以2 3 8重量%之tmah水溶液處理 至6 0秒。 所揭示之外塗層組合物將參考下列實例更細加以說明 ,但其不用以限制本發明之範圍。 I ·外塗層組合物之製備 1.外塗層組合物η」丨 步驟1 ·聚(N,N-二曱基丙烯醯胺)之合成 於四氫夫南/合』(300克)中添加N,N-二曱基丙烯醯胺(1〇〇 克)及AIBN (5克)。所得混合物在66它反應9小時。隨後, 所得混合物於乙醚中沉澱,並脫水因而獲得純的聚(n,n_ 二甲基丙烯醯胺)(分子量約12,7〇〇,產率約88%)&lt;3合成之化 合物之NMR光譜示於圖3。 步驟2.較佳具體例1 於蒸餾水(3〇〇克)中添加製備例以斤得之聚(N,N_:曱基丙 烯醯胺)聚合物(30克)及對-甲笨磺酸(〇5克p接著,以〇.2 微米濾纸過濾所得混合物,因而獲得所揭示之外塗層組合 89641 200416491 物。 層組合物 於洛餾水(30〇克)中添加聚乙烯吡咯烷酮(分子量1〇,〇〇〇) (3 0克)(Aldnch公司)及對_甲笨磺酸(〇5克)。接著,以〇2微 米渡紙過濾所得混合物,因而獲得所揭示之外塗層組合物。 Π·形成正型光阻劑圖案 實例3. 在晶圓上塗佈厚度為33〇埃之ArF抗反射塗層(後文稱為 BARC )溥膜(DHRC-A20)(D〇ngjin SemiChem股份有限公 司)°在其上塗佈厚度為2400埃之正型ArF光阻劑(〇只八-H150)(Dongjin SemiChem股份有限公司)。所得結構使用 ArF曝光機(ASML股份有限公司)曝光並顯影,因而獲得圖 4a之正型光阻劑圖案(線寬約U2奈米)。 實例1步驟2所得之外塗層組合物在圖4a之圖案上塗佈 3000埃之厚度。所得結構在15(rc烘烤3〇秒。烘烤製程後, 所得結構以2·38重量。/。之TMAH溶液顯影,因而獲得圖4b之 圖案(線寬約86奈米)。 圖4b之圖案線寬顯示比圖4a之圖案線寬減小26奈米。據 此,藉所揭示之方法可增加圖案之解析力。 實例4. 在晶圓上塗佈厚度330埃之ArF BARC薄膜(DHRC-A20) 。在其上塗佈厚度為2400埃之正型ArF光阻劑(DHA-H150) 。所得結構使用ArF曝光機曝光並顯影,因而獲得圖5a之正 型光阻劑圖案(線寬約111奈米)。 89641 14 200416491 實例2所得之外塗層組合物在圖5a之圖案上塗佈3〇〇〇埃 之厚度。所得結構在1 5 0°C烘烤3 0秒。烘烤製程後,所得結 構以2.38重量%之TMAH溶液顯影,因而獲得圖5b之圖案 (線見約8 8奈米)。 圖5b之圖案線寬顯示比圖5&amp;之圖案線寬減小23奈米。據 此’藉所揭示之方法可增加圖案之解析力。 5. 在晶圓上塗佈光阻劑(Axl〇2〇p)(Clariant股份有限公司) 。所得結構在1 20°C烘烤90秒形成光阻劑薄膜。該光阻劑薄 膜使用ArF曝光機曝光,並在12(^c烘烤90秒。所得結構以 2.38重量。/。TMAH水溶液顯影,因而獲得圖6a之正型光阻劑 圖案(線寬約100奈米)。 實例2所得之外塗層組合物在圖6a之圖案上塗佈24〇〇埃 之厚度。所得結構在12〇。(:烘烤90秒以擴散酸。接著所得結 構以2.38重量%之TMAH溶液顯影40秒,因而獲得線寬80奈 米之圖案(參見圖6b)。 圖6b之圖案線寬顯示比圖6a之圖案線寬減小2〇奈米。據 此’藉所揭示之方法可增加圖案之解析力。 ΠΙ·形成負型光阻劑圖案 實例6. 在晶圓上塗佈厚度為330埃之ArF抗反射塗層薄膜(Dhrc _A20)(D〇ngjin SemiChem股份有限公司)。在其上塗佈厚度 為2400埃之負型ArF光阻劑(GX02)(Dongjin SemiChem股份 有限公司)。所得結構使用ArF曝光機(ASML股份有限公司) 89641 15 200416491 曝光並顯影’因而獲得負型光阻劑圖案(線寬約1丨2奈米)。 貫例1步驟2所得之外塗層組合物在該負型圖案上塗佈 3〇〇〇埃之厚度。所得結構在15crc烘烤2分鐘。烘烤製程後 ’所得結構以蒸餾水顯影,因而獲得圖7a之圖案(線寬約1 03 奈米)。 雖然上述負型光阻劑圖案使用SEM儀器在800V之加速電 壓及120K放大之下暴露至電子束中3 0秒,但測量該圖案之 線寬減小。參見圖7b,1 03奈米之圖案中未觀察到變細現 象。 比較例1. 在晶圓上塗佈厚度330埃之ArF抗反射塗層薄膜(〇1111(:- A20)(Dongjin SemiChem股份有限公司)。在其上塗佈ArF光 阻劑(GX02)。 所得結構使用ArF曝光機(ASML股份有限公司)曝光並顯 影,因而獲得圖8a之正型光阻劑圖案(線寬約112奈米)。 雖然上述負型光阻劑圖案使用SEM儀器在800V之加速電 壓及120K放大之下曝露至電子束中3〇秒,但測量該圖案之 線寬減小。 參見圖8 a,9 1奈米之圖案中顯示變細現象。 如先前所述,圖案之線寬可容易地藉簡單濕式顯影製程 而減小’且不須新穎設備,因而可降低成本。此外,可降 低DRAM或MPU之電晶體線寬,因而改良半導體速度之操 作速度,且DRAM之磁頭線線寬可減小,因而改良容量。 在負型光阻劑之例中,在使用SEM之隨後線寬測量製程中 89641 16 200416491 玎避免線寬變細現象,因而改良所得光阻劑圖案之再製性 及f靠性。 【圖式簡單說明】 圖1為顯示依據增加曝光能量而使光阻劑圖案線寬及輪 康改變之製程示意圖。 圖2a至圖2d為說明形成光阻劑圖案之所揭示方法之示意 圖。 圖3為聚(N,N-二甲基丙烯醯胺)之!^1^]1光譜圖。 圖4a及圖4b為實例3所得之光阻劑圖案之sem照片。 圖5a及圖5b為實例4所得之光阻劑圖案之讀照片。 圖6a及圖6b為實例5所得之光阻劑圖案之刪照片。 圖7 a及圖7 b為貫例6所得f 所侍之先阻劑圖案之SEM照片。 圖8 a及圖8 b為比較例1j呈+ 罕例1所仔之先阻劑圖案之SEM照片。 【圖式代表符號說明】 1 〇 顯影後移除之光阻劑材料 2 〇 顯影後留下之光阻劑圖案 1 0 〇 光阻劑圖案 1〇2 外塗層 1°4 酸擴散區域 1〇6 減小之光阻劑圖案 89641Into the upper part of the pattern. The area 104 in the resist pattern. The upper portion of the acid diffusion pattern contained in the composition is hardened (not shown). 89641 200416491 The second roasting process is preferably performed in the temperature range of 50 to i 5Gt for 90 seconds. And: after Tu Guang's baking process increases the areas with acid in the photoresist pattern, the acidic area 104 is removed by the experimental development solution to reduce its line width. ▲ The photoresist shown in Figure 2d or the surface has been hardened Agent pattern 1. The car development solution can be top button, kappa or aqueous solution. Since the pattern line width becomes smaller in proportion to the alkali treatment time, the required line width can be obtained by adjusting the treatment time by mistake. If the concentration of the alkaline developing solution becomes higher, the removal rate of the resist material becomes faster. As a result, radon improves throughput. The region having an acid herein is preferably treated with a 3.8% by weight tmah aqueous solution to 60 seconds. The disclosed outer coating composition will be described in more detail with reference to the following examples, but it is not intended to limit the scope of the invention. I. Preparation of the outer coating composition 1. Outer coating composition η ″ 丨 Step 1 • Synthesis of poly (N, N-dimethyacrylamide) in tetrahydrofuran / combination (300 g) N, N-Dimethylacrylamide (100 g) and AIBN (5 g) were added. The resulting mixture was reacted at 66 for 9 hours. Subsequently, the resulting mixture was precipitated in diethyl ether and dehydrated to obtain pure poly (n, n-dimethylacrylamide) (molecular weight about 12,700, yield about 88%) &lt; 3 NMR of the compound synthesized The spectrum is shown in Figure 3. Step 2. Preferred Specific Example 1 To distilled water (300 g), the poly (N, N_: fluorenylacrylamide) polymer (30 g) obtained in the preparation example and p-methylbenzylsulfonic acid (30 g) were added. 〇5 gp Then, the resulting mixture was filtered with 0.2 micron filter paper, thereby obtaining the disclosed outer coating composition 89641 200416491. The layer composition was added with polyvinylpyrrolidone (molecular weight 1) in Luo water (30 g). 〇〇〇〇〇) (30 g) (Aldnch) and p-toluenesulfonic acid (05 g). Then, the resulting mixture was filtered through 0.02 micron paper to obtain the disclosed outer coating composition Example of forming a positive photoresist pattern 3. Applying an ArF anti-reflective coating (hereinafter referred to as BARC) 溥 film (DHRC-A20) (Donggjin SemiChem Co., Ltd.) with a thickness of 33 angstroms on a wafer Co., Ltd.) A positive ArF photoresist (0-8-H150) (Dongjin SemiChem Co., Ltd.) with a thickness of 2400 angstroms was coated thereon. The resulting structure was exposed and developed using an ArF exposure machine (ASML Co., Ltd.). Therefore, the positive photoresist pattern (line width of about U2 nm) in Figure 4a is obtained. Example 1 Step 2 The outer coating composition was coated on the pattern in FIG. 4a to a thickness of 3000 angstroms. The obtained structure was baked at 15 ° C for 30 seconds. After the baking process, the obtained structure was developed with a 2.38 wt% TMAH solution. Therefore, the pattern of FIG. 4b is obtained (the line width is about 86 nm). The pattern line width display of FIG. 4b is 26 nm smaller than the pattern line width of FIG. 4a. According to this, the resolution of the pattern can be increased by the disclosed method Example 4. An ArF BARC film (DHRC-A20) with a thickness of 330 angstroms was coated on a wafer. A positive ArF photoresist (DHA-H150) with a thickness of 2400 angstroms was coated thereon. The resulting structure was exposed using ArF The machine was exposed and developed to obtain the positive photoresist pattern (line width of about 111 nanometers) as shown in Figure 5a. 89641 14 200416491 The outer coating composition obtained in Example 2 was coated with 3,000 angstroms on the pattern shown in Figure 5a. The obtained structure is baked at 150 ° C for 30 seconds. After the baking process, the obtained structure is developed with a 2.38% by weight TMAH solution, thereby obtaining the pattern of FIG. 5b (see about 88 nm for the line). The pattern line width display of 5b is 23 nanometers smaller than the pattern line width of Fig. 5 &amp; according to this, the pattern can be increased by the disclosed method Analytical force. 5. Apply a photoresist (Axl02p) (Clariant Co., Ltd.) on the wafer. The obtained structure is baked at 120 ° C for 90 seconds to form a photoresist film. The photoresist film Exposure was performed using an ArF exposure machine, and baking was performed at 12 ° C for 90 seconds. The obtained structure was developed with a 2.38 wt.% TMAH aqueous solution, thereby obtaining a positive photoresist pattern (line width of about 100 nm) in FIG. 6a. The outer coating composition obtained in Example 2 was coated on the pattern of FIG. 6a to a thickness of 2400 Angstroms. The resulting structure is at 120. (: Bake for 90 seconds to diffuse the acid. Then the resulting structure is developed with a 2.38% by weight TMAH solution for 40 seconds, thereby obtaining a pattern with a line width of 80 nm (see Figure 6b). The pattern line width display of Figure 6b is larger than that of Figure 6a The pattern line width is reduced by 20 nanometers. According to this, the resolution of the pattern can be increased by the disclosed method. ΠI. Example of forming a negative photoresist pattern Reflective coating film (Dhrc_A20) (Dongjin SemiChem Co., Ltd.). A negative ArF photoresist (GX02) (Dongjin SemiChem Co., Ltd.) having a thickness of 2400 angstroms was coated thereon. The resulting structure was exposed using ArF Machine (ASML Co., Ltd.) 89641 15 200416491 exposed and developed 'so as to obtain a negative photoresist pattern (line width of about 1 丨 2nm). The outer coating composition obtained in step 2 of Example 1 was on the negative pattern. A thickness of 3,000 angstroms was applied. The obtained structure was baked at 15 crc for 2 minutes. After the baking process, the obtained structure was developed with distilled water, thereby obtaining the pattern of FIG. 7a (the line width was about 103 nm). Type Photoresist Pattern Using SEM Instrument at 800V Acceleration Exposure to the electron beam for 30 seconds at 120K magnification, but the line width of the pattern was measured to decrease. See Figure 7b. No thinning was observed in the pattern of 103 nm. Comparative Example 1. On a wafer An ArF anti-reflection coating film (〇1111 (:-A20) (Dongjin SemiChem Co., Ltd.) with a thickness of 330 angstroms was applied thereon. An ArF photoresist (GX02) was applied thereon. The resulting structure was exposed using an ArF exposure machine (ASML Co., Ltd.) was exposed and developed, thus obtaining the positive photoresist pattern (line width of about 112 nm) in FIG. 8a. Although the above negative photoresist pattern was exposed using an SEM instrument at an acceleration voltage of 800V and a magnification of 120K 30 seconds into the electron beam, but the line width of the pattern was reduced. See Figure 8a. The pattern of 9 nm shows a thinning phenomenon. As mentioned earlier, the line width of the pattern can be easily wetted simply. The development process is reduced, and new equipment is not required, which can reduce costs. In addition, the line width of the transistor of the DRAM or MPU can be reduced, thereby improving the operation speed of the semiconductor speed, and the line width of the head of the DRAM can be reduced. Therefore, the capacity is improved. In the subsequent line width measurement process using SEM, 89641 16 200416491 玎 avoids the phenomenon of line width thinning, so the reproducibility and f reliability of the obtained photoresist pattern are improved. [Schematic explanation] Figure 1 shows the increase of display basis Schematic diagram of the process of changing the photoresist pattern line width and wheel rotation by exposure to energy. Figures 2a to 2d are schematic diagrams illustrating the disclosed method of forming a photoresist pattern. Figure 3 is a poly (N, N-dimethylpropylene) Pyramine) ^ 1 ^] 1 spectrum. 4a and 4b are sem photographs of the photoresist pattern obtained in Example 3. 5a and 5b are read photos of the photoresist pattern obtained in Example 4. 6a and 6b are deleted photos of the photoresist pattern obtained in Example 5. Figures 7a and 7b are SEM photographs of the pattern of the pre-resistor served by f obtained in Example 6. Fig. 8a and Fig. 8b are SEM photographs of the pre-resistor pattern of Comparative Example 1j showing +. [Explanation of the symbols in the figure] 1 〇 Photoresist material removed after development 2 〇 Photoresist pattern left after development 1 〇 Photoresist pattern 1 〇 Outer coating 1 ° 4 Acid diffusion area 1 〇 6 Reduced photoresist pattern 89641

Claims (1)

200416491 拾、申請專利範圍: 1 · 一種光阻劑之外塗層組合物,包括: 水可溶聚合物, 酸性化合物;及 水0 2.如申請專利範圍第1項之組合物,其中該水可溶聚合物 為式1之化合物或聚乙烯基吡咯烷酮: 式1200416491 Patent application scope: 1 · A photoresist outer coating composition, including: water soluble polymer, acidic compound; and water 0 2. The composition according to item 1 of the patent application scope, wherein the water The soluble polymer is a compound of formula 1 or polyvinylpyrrolidone: 其中 R’為 Η或 CH3 ; R5及R6獨立為HSCi-Cs烷基;及 η為重複單元數。 3. 如申請專利範圍第2項之組合物,其中該η為50至150之 整數。 4. 如申請專利範圍第2項之組合物,其中該式1化合物之分 子量範圍自5000至1 5000。 5 .如申請專利範圍第2項之組合物,其中該式1所示之水可 溶聚合物為聚(Ν,Ν-二甲基丙烯醯胺)。 6.如申請專利範圍第1項之組合物,其中該酸性化合物為 89641 有機續酸。 7·如申請專利範圍第丨項之組合物,其中該酸性化合物為 對甲求石黃酸單水合物。 δ·如申請專利範圍第丨項之組合物,其中該酸性化合物存 在嚴為水可溶聚合物量之2至2 0重量°/°之範圍 9·如申請專利範圍第1項之組合物,其中該水存在量為水 可溶聚合物量之500至4000重量%之範圍。 1 〇·—種形成光阻劑圖案之方法,包括: r (a) 藉微影蝕刻製程形成光阻劑圖案; (b) 在該光阻劑圖案整個表面上塗佈上述外塗層組合物 而形成外塗層; (C)烘烤該外塗層;及 (d)以驗性顯影溶液使該外塗層顯影。 u.如申請專利範圍第1〇項之方法,其中步驟⑷包括: ⑹)在半導體基材上塗佈化學增大之光阻劑組合物 並煤烤该基材形成光阻劑薄膜;Where R 'is Η or CH3; R5 and R6 are independently HSCi-Cs alkyl groups; and η is the number of repeating units. 3. The composition according to item 2 of the patent application, wherein η is an integer from 50 to 150. 4. The composition of claim 2 in which the molecular weight of the compound of formula 1 ranges from 5000 to 15,000. 5. The composition according to item 2 of the scope of patent application, wherein the water-soluble polymer represented by Formula 1 is poly (N, N-dimethylacrylamide). 6. The composition according to item 1 of the patent application range, wherein the acidic compound is 89641 organic continuous acid. 7. The composition according to item 1 of the scope of the patent application, wherein the acidic compound is p-methytonic acid monohydrate. δ · The composition as claimed in the scope of the patent application, wherein the acidic compound exists in the range of 2 to 20 weight ° / ° strictly based on the amount of the water-soluble polymer. 9 · The composition as described in the scope of the patent application, wherein The water is present in an amount ranging from 500 to 4000% by weight based on the amount of water-soluble polymer. 1. A method for forming a photoresist pattern, including: r (a) forming a photoresist pattern by a lithographic etching process; (b) applying the above-mentioned overcoat composition on the entire surface of the photoresist pattern Forming an overcoat layer; (C) baking the overcoat layer; and (d) developing the overcoat layer with an empirically developing solution. u. The method of claim 10, wherein step (i) includes: (i) coating a semiconductor substrate with a chemically increased photoresist composition and baking the substrate to form a photoresist film; (a_2)使光阻劑薄膜曝光; (^3)烘烤該光阻劑薄膜;及 (a_4)使光阻劑薄膜顯影。 12.如申請專利範圍第1〇項之 兵f步驟(a)所得之夫 阻劑圖案高度為2〇〇〇至3〇〇〇埃之範圍。 13·如申請專利範圍第1〇項之方法, ♦ T步驟(b)中該外塗 層厚度從步驟(a)之光阻劑圖荦之μ主 系之上表面計算在200至 5 0 0 0埃之範圍。 89641 200416491 14.如申請專利範圍第1〇項之方法,其中步驟(幻之烘烤製 程係在50至150°C之溫度範圍進行30至90秒。 15·如申請專利範圍第1〇項之方法,其中步驟(幻之鹼性顯 影溶液為TMAH、KOH或NaOH水溶液。 16.如申請專利範圍第丨丨項之方法,其中該化學增大之光阻 劑組合物包括具有式2之重複單元之光阻劑聚合物:(a_2) exposing the photoresist film; (^ 3) baking the photoresist film; and (a_4) developing the photoresist film. 12. The height of the resist pattern obtained in step (a) of item 10 of the patent application range is from 2000 to 3,000 angstroms. 13. According to the method of claim 10 in the scope of patent application, the thickness of the overcoat layer in step (b) is calculated from 200 to 5 0 from the upper surface of the μ main system of the photoresist map in step (a). 0 Angstrom range. 89641 200416491 14. The method according to item 10 of the scope of patent application, wherein the step (magic baking process is performed at a temperature range of 50 to 150 ° C for 30 to 90 seconds. 15. If the scope of item 10 of the patent application is Method, wherein the step (the alkaline developing solution of magic is TMAH, KOH or NaOH aqueous solution. 16. The method according to item 丨 丨 of the patent application range, wherein the chemically increased photoresist composition includes a repeating unit having formula 2 Photoresist Polymer: /、中 Χΐ、χ2、Y丨、γ2、Z1 及 z2獨立為 CH2 或 CH2CH2 ; Rl心及汉4獨立選自H、經取代之Ci-Cio烷基及未經取 代之C1_C1G烷基所組成之組群; R2為C「C1G羥基烷基; 馮蚊不安定之保護基; P、q及r獨立為〇至2之整數;及 d之相對比例在5至9〇莫耳% ·· 5至9〇莫耳% : 至9〇莫耳% : 0至9〇莫耳%之範圍。 1 7 .如申睛專利範圍第1 乐 貝之方法,其中該光阻劑聚合物, 包括含具有環-烯烴主 趣之重禝早兀之第一聚合物及. 有丙稀酸酯主鏈重趨I ^ 複早70之第二聚合物之混雜型共: 物。 17項之方法,其中該第一聚合物之重 1 8.如申睛專利範圍第 89641 ^^16491 複單元係由下式2所示者:/, Chinese χΐ, χ2, Y 丨, γ2, Z1 and z2 are independently CH2 or CH2CH2; R1 and Han4 are independently selected from the group consisting of H, substituted Ci-Cio alkyl and unsubstituted C1_C1G alkyl Group; R2 is C "C1G hydroxyalkyl group; Feng Mo's unstable protecting group; P, q and r are independently integers of 0 to 2; and the relative proportion of d is 5 to 90 mole% · 5 to 90 mol%: to 90 mol%: 0 to 90 mol%. 17. The method of Lebei in the scope of patent No. 1 of Shenyan, wherein the photoresist polymer includes -The first polymer of the main interest of olefins and the first polymer of the early polymer and the acrylic polymer main chain re-integration I ^ The complex polymer of the second polymer of the early 70. The method of item 17, wherein the first The weight of a polymer 1 8. As stated in the patent scope of Shenyan Patent No. 89641 ^ 16491, the complex unit is represented by the following formula 2: 其中 X 1、X 2、γ 1、γ2、忑!及ζ2獨立為ch2或ch2ch2 ; h、n3及n4獨立選自H、經取代之烧基及未經取 代之C1-C1G烷基所組成之組群; 汉2為Ci-C1()羥基烷基; 為酸不安定之保護基; P、q及r獨立為〇至2之整數;及 a · b · C · d之相對比例在5至90莫耳% : 5至90莫耳% : 〇 至90莫耳% : 〇至9〇莫耳%之範圍。 1 9·如申請專利範圍第17項之方法,其中該第二聚合物之重 複單元為聚曱基丙烯酸{4_[2-(4-羥基苯基)4 ,3_ 六氟丙基]苯基酷/曱基丙烯酸(1,丨,丨,3,3,3-六氟_2-第三 丁基羧酸酯)異丙基酯}、聚[N-全氟丙基順丁烯二醯亞 胺/第三丁基-5-原冰片烯-2-羧酸酯/甲基丙烯酸2-(全氟 -辛基)乙基酯]或聚(順丁烯二酸酐/六氟丁基-5·原冰片 烯-2-羧酸酯/丙烯酸2,6-二氟甲基节基酯)。 20·如申請專利範圍第1 1項之方法,其中該步驟(a-2)之曝光 源係選自 ArF (193 nm)、KrF (248 nm)、F2 (157nm)及 EUV (13 nm)所成之組群。 89641 200416491 21.如申請專利範圍第11項之方法,其中該步驟(a-2)之曝光 能量範圍自10至30 mJ/cm2。 89641Among them X 1, X 2, γ 1, γ2, eh! And ζ2 are independently ch2 or ch2ch2; h, n3, and n4 are independently selected from the group consisting of H, substituted alkyl, and unsubstituted C1-C1G alkyl; Han 2 is Ci-C1 () hydroxyalkyl ; Is an acid-labile protecting group; P, q, and r are independently integers of 0 to 2; and the relative proportion of a · b · C · d is 5 to 90 mole%: 5 to 90 mole%: 0 to 90 mole%: in the range of 0 to 90 mole%. 19. The method according to item 17 of the scope of patent application, wherein the repeating unit of the second polymer is polyacrylic acid {4_ [2- (4-hydroxyphenyl) 4,3_hexafluoropropyl] phenylcool / Fluorenylacrylic acid (1, 丨, 丨, 3,3,3-hexafluoro_2-tert-butylcarboxylic acid ester) isopropyl ester}, poly [N-perfluoropropylcisbutene difluorene Amine / Third-Butyl-5-orbornene-2-carboxylic acid ester / 2- (Perfluoro-octyl) ethyl methacrylate] or Poly (maleic anhydride / hexafluorobutyl-5 · Orbornene-2-carboxylic acid ester / 2,6-difluoromethyl benzyl acrylate). 20. The method according to item 11 of the scope of patent application, wherein the exposure source in step (a-2) is selected from the group consisting of ArF (193 nm), KrF (248 nm), F2 (157 nm), and EUV (13 nm). Into groups. 89641 200416491 21. The method according to item 11 of the patent application range, wherein the exposure energy of step (a-2) ranges from 10 to 30 mJ / cm2. 89641
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