1.4 ᖓጢූᎩᔈΚ
1.4.2 ᖓጢූᎩᔈΚໆෳמೌ
კ 1.16 ࣁදၹҔٰໆෳᖓጢᔈΚޑҔᐒѠ[25]ǶځচࢂճҔТӧ؈ᑈᖓጢ
ࡕǴҗܭᖓጢᔈΚޑቹៜǴТޑԔъ৩ᒿϐᡂϯǴᙖԜٰᆉځᔈΚελǶԜ ᅿໆෳБԄǴӝҔаໆෳൂቫᖓጢޑᖓጢᔈΚǴЪѸམଛۘ҂٬Ҕၸޑ༝Ƕࣁ
Αׯ๓ԜᗺǴӭޑࣴزճҔ༾่ᄬޑᡂٰໆෳ࣬ᜢޑᖓጢᔈΚǶҁፕЎஒϟಏ൳ᅿ ճҔ༾่ᄬᡂ܄܌ीޑᖓጢූᎩᔈΚໆෳמೌǶ
Ʉ1 ࡕԔݤ[26]
όӕߏࡋϐᐏރ༾่ᄬញܫࡕǴᖓጢϣӸӧϐᓸᔈΚញܫǴ٬ளᝌੌ่ᄬڙډ ᓸᔈΚޑբҔԶౢғӵკ 1.17 ܌ҢޑԔ(buckling)ᡂǴᙖҗϩ೭٤༾ᐏރ่ᄬౢ
ғԔᡂǴջёीᆉрᖓጢޑѳ֡ᓸᔈΚǶฅԶǴਥᏵ Hutchinson Γޑϩ[27]Ǵ ჴሞޑ༾ᐏރ่ᄬǴӢӭচӢ٬ځӧᓸᔈΚۘ҂ౢғբҔਔǴ༾ᐏ่ᄬ൩ςӸӧ ȸଆۈᡂȹǶٯӵǴᖓጢϣऩᗋӸӧఊࡋᔈΚǵ൳Ֆ่ᄬޑόೕ߾܈ࢂᜐࣚచҹ(ୖ
ᜐࣚᙯݤ[28])ǴӵԜ٬ளӧໆෳਔǴคݤ҅ዴղᘐ༾ᐏރ่ᄬౢғԔᡂϐ
҅ᡂǴԶԋໆෳౢғᇤৡǶ
კ 1.16 ᖓጢᔈΚϐໆෳᐒڋ[25]
კ 1.17 ༾ᐏރ่ᄬᝌੌࡕ܌ౢғޑԔຝ [26]
Ʉ2 T่ࠠᄬݤ[29]
კ 1.18 ࣁ T ᔠෳ่ᄬǴԜ่ᄬࢂҗٿਥ༾ᐒఓኺ܌ಔӝԶԋǶӵკ܌ҢǴ
่ᄬኺ A ӢූᎩᔈΚញܫࡕԶԏᕭǴԜਔҭ่ᄬኺ B Ψౢғᡂ(δ)Ƕҁݤջ ਥᏵ่ᄬኺ B ޑᡂໆ(δ)ٰीᆉᖓጢᔈΚǶՠҗܭԜБݤࢂճҔӕѳय़ޑᡂໆٰ
،ۓᖓጢޑූᎩᔈΚǴ܌аሡीၨεϐ T ่ࠠᄬǴځᡂࠠໆωܴᡉǴىаᙖҗໆෳ
ᐒѠᢀჸளډǴٯӵୖԵЎ[29]္܌௦Ҕޑ T ่ᄬεऊሡा٬Ҕډ 4000 μm ߏǵ1600 μmቨޑթֽय़ᑈǶ
კ 1.18 T ࠠ༾ᔠෳ่ᄬӧᇑڅۭࡕǴූᎩᔈΚញܫࡕ܌ౢғϐᡂკ [29]
Ʉ3 ༾ෞЁݤ[30], [31]
༾ෞЁݤࢂᅿӕѳय़(in-plane)ᡂϐໆෳמೌǴځচࣁճҔᄫఎচٰी
༾ᐒఓ่ᄬǴ٬ځӕѳय़ϐᡂໆܫεԿёໆෳጄൎǶკ 1.19 ࣁय़ࠠ༾ෞЁ่ᄬҔ
ٰໆෳᖓጢޑූᎩᔈΚǶӵკ܌ҢǴෳ၂ኺ(test beam)ޑߏࡋӢූᎩᔈΚޑញܫԶวғ ׯᡂǴځׯᡂޑᡂໆ༾ෞЁޑ่ᄬᙯ࣬ჹᔈޑفࡋǴᙖҗໆෳԜفࡋջё
ᆉрᖓጢޑූᎩᔈΚϷղᘐᖓጢࣁᓸᔈΚ܈ᔈΚǶӢࣁԜБݤѝሡाޔௗໆෳ༾ෞ
Ёޑᙯفࡋ٠ඤᆉӣෳ၂ኺޑՏ౽ໆջёໆෳᔠෳᖓጢޑූᎩᔈᡂǴӢԜڀԖໆෳ
ᙁܰǵଯᇙำ࣬܄ᓬᗺǶฅԶǴԜБݤӧໆෳྗዴ܄ΨӸӧ٤ୢᚒǴӵǴ
ූᎩఊࡋᔈΚޑӸӧǴᏤठঁ่ᄬౢғрѳय़ޑՏ౽ǴԶቹៜډෳ၂ኺϐՏ౽ໆޑ ᠐ڗॶǶࣗԿऩ่ᄬౢғၸεޑԔᡂǴёૈᗋ٬ளঁीֹӄѨਏǶԜѦǴ༾
ෞЁाीѮεޑೱఎᐒᄬǴό՞ᏵᝊޑТय़ᑈǴӕਔҭቚуෳ၂่
ᄬӧᝌੌਔޑ֚ᜤࡋǶ
კ 1.19 ᖓጢᔈΚϐໆෳᐒڋ [30], [31]
Ʉ5 ᜐࣚᙯݤ[28]
ӧрѳय़ԄޑᡂϐໆෳמೌύǴനத࣮ډޑᐒᄬीǴߡࢂճҔ༾ᝌᖉኺٰໆෳ
ᖓጢޑූᎩᔈΚǴӵ W. Fang ک J.A. Wickert ΓගрճҔൂ༾ᝌᖉኺ่ᄬٰໆෳᖓ ጢޑූᎩᔈΚ[28]ǶдॺޑीፕЬाࣁճҔൂਥᝌᖉኺ่ᄬ٠མଛ nominally clamped boundaryޑᜐࣚచҹϐۓǴӵკ 1.20 ܌ҢǴ༾ᝌᖉኺញрූᎩᔈΚࡕǴջ
ӧ่ᄬวғٿᅿЬाϐᡂǺ(1) ڙѳ֡ᔈΚޑቹៜ܌ౢғޑȸᜐࣚᙯ(ୖკ 1.20 (a))ȹϷ (2) ڙఊࡋᔈΚቹៜ܌ԋޑȸԔᡂ(ୖკ 1.20 (b))ȹǶਥᏵځीፕǴ ךॺёаճҔ่ᄬᜐࣚᙯ܌ԋޑᙯفࡋ(θ)٠མଛځࣴزޑԖज़ϡનݤϐᡍϦ ԄǴջёᆉрᖓጢޑѳ֡ᔈΚǶฅࡕǴճҔځ่ᄬԔᡂ܌ౢғޑԔъ৩Ǵٰी
ᆉрᖓጢޑఊࡋᔈΚǶ
კ 1.20 ༾ᝌᖉኺӧញܫрූᎩᔈΚࡕǴЬाౢғٿᅿᡂǺ(a) ᜐࣚᙯ Ϸ(b) Ԕ ᡂ[28]
Ʉ6 ᚈቫ่ᄬݤ[32], [33]
ࡑෳᖓጢޑࠆࡋλܭࢌЁκਔǴճҔԜᖓጢ܌ᇙբޑ༾ᔠෳ่ᄬǴࡐܰӢখ
܄ޑόىԶӧᇑڅ܈ࢂమࢱޑᇙำύᎁڙډઇᚯǴӢԜय़܌ϟಏޑ൳ᅿמೌߡόܭ ԜᅿݩǶ܌а Fang[32]Ϸ Min [33]ΓϩձගрΑόӕޑᚈቫ่ᄬीݤٰှ،Ԝୢ
ᚒǶ
ӧ W. Fang[32]܌ගрޑᚈቫ่ᄬݤύǴځচࣁӃᇙрӵკ 1.21 ܌ҢǴӧᜐࣚ
ᙯݤ္य़܌٬Ҕޑ༾ᝌᖉኺբࣁ୷ᘵ༾ᔠෳኺǴϐࡕӆஒࡑෳޑᖓጢ؈ᑈӧځ߄य़Ǵ
ԋᚈቫ่ᄬ(bilayer structure)Ƕௗၸ০ᙯඤޑБԄѝԵቾ୷ᘵ༾ᔠෳኺϷᚈቫ ኺ่ᄬӚձޑԔъ৩کԔᡂໆϐᜢ߯ǴջёᆉрளࡑෳᖓጢޑූᎩᔈΚǶฅ ԶǴԜБݤёૈၶډ٤ୢᚒǴЀځࢂࡑෳᖓጢࢂճҔ CVD ޑᇙำ؈ᑈӧςᝌੌ
ޑ୷ᘵ༾ᝌᖉኺǴࡑෳᖓጢёૈҭᗓӧځୁᏛ܈ङय़ԶԋූᎩᔈΚෳᒱᇤǶ ӢԜǴMin Γ[33]ଞჹॊޑୢᚒගрճҔӵკ 1.22 ܌ҢޑፄӝᝌᖉኺǴin-situ ໆෳ่ᄬϐᖓጢᔈΚǶӧдॺޑीፕύǴځЬाচࣁᙖҗीᆉቫᖓጢύޑූ
(b)
(a)
ᡂໆ(tip deflection)ϐᜢ߯ǴᆉрࡑෳᖓጢޑූᎩᔈΚॶǶԜѦǴόӕܭ W. Fang[32]
܌ගрޑᚈቫ่ᄬीБԄǴMin Γ[33]܌ीޑᝌᖉኺ่ᄬǴځᜐࣚచҹࢂ௦Ҕ
ႄࠠᜐࣚ (clamped boundary)ǴЪ่ᄬᝌੌޑБԄࢂ௦ڗᡣ୷ᘵ༾ᝌᖉኺӧࡑෳᖓጢ؈
ᑈࡕǴωᡣԜᚈቫ่ᄬᝌੌǶԜբݤޑᓬᗺࢂёᡣᚈቫԄ༾ᔠෳ่ᄬᆶ༾ᐒႝϡҹࢂӧ ӕᇙำࢬำΠ܌ᇙբֹԋޑǶӢࣁ༾ᔠෳ่ᄬᆶϡҹ܌ڙډޑᕉნྕࡋϷᇙำచҹࢂ
ኬޑǴ܌аૈ׳ྗዴޑᆉр༾ᐒႝϡҹϣޑූ੮ᔈΚǶฅԶǴਥᏵځीፕǴԜ Бݤޑ୷ᘵ༾ᝌᖉኺޑූᎩᔈΚѸ٣ӃςޕǴωёளࡑෳᖓጢޑූᎩᔈΚǶ
კ 1.21 W. Fang Γ[32]܌ගрޑᚈቫ่ᄬݤǺ (a)୷ᘵ༾ᔠෳኺޑଆۈᕴᡂǴ(b)ѐ ନᜐࣚᙯࡕёள୷ᘵ༾ᔠෳኺޑપԔᡂǴ(c)ѐନᜐࣚᙯࡕǴёளᚈቫ่
ᄬޑપԔᡂǶ
(a) (b)
კ 1.22 Min Γ[33]܌ගрޑᚈቫ่ᄬݤ(a) ่ᄬញܫࡕǴ୷ᘵ༾ᔠෳኺϐଆۈᕴᡂ (b) ่ᄬញܫࡕǴᚈቫ༾ᔠෳኺϐᕴᡂǶ
1.5 ߎ ߎឦ-ߎឦௗᇙำ
ҁፕЎ܌ගрޑ༾ᐒႝᡄᒠ႔ࢂឦܭႝߔԄ༾໒ᜢϐۯ՜ᔈҔǴӢԜϡҹӧϪඤ໒ ᜢਔǴԖߎឦჹߎឦޑௗୢᚒǶҗЎӣ៝ளޕǺ០БԄǵ០Κၰǵߎឦ߄य़ ޑރݩǵڙډԡࢉᆶցǵ܄ΏԿ࠾းБԄӢનǴቹៜߎឦௗय़ޑ܄ૈ߄
Ƕ
ჹܭ໒ᜢϪඤϐௗୢᚒǴӧ 2005 ԃ S.T. Patton Γ[34]ࣴزวճҔߎբࣁௗ
ߎឦਔǴҗܭᇙำޑԡࢉ܈ࢂᚼ៛ӧεύǴځߎឦ߄य़Ԗቫ๊ጔޑᅹϯӝނቫ (hydrocarbons)܈਼ϯᖓጢቫǶӵკ 1.23(a)܌ҢǴԜ๊ጔቫ(ϟႝቫ)ᗨฅ෧Ͽჴሞߎឦ
ௗय़ᑈϷቚуௗႝߔॶǴՠࢂჹᗉխௗߎឦ໔ޑℚ(adhesion)ຝǴࠅԖჴ፦
ޑᔅշ[35]ǶӕਔǴࣴزύҭวӧեႝࢬ(ɦ10 μA)ޑݩΠǴᡣߎឦჹߎឦௗࢤ ਔ໔ࡕǴځௗय़ᡂӀྖԶౢғཱུεޑΥளґᅟΚ(Van Der Waals force)Ǵ٬ளߎឦჹߎ ឦௗ໔ౢғℚຝǶᒿࡕ H. Kam[36]ΓਥᏵ Patton Γ[34]ޑࣴز่݀Ǵගрӧ
ௗᆄޑߎឦӆ؈ᑈቫ 0.25Å ޑΒ਼ϯ⑲(TiO2)ϟႝᖓጢቫǶჴᡍޑ่݀วǴ Ԝϟႝᖓጢቫё෧༾ႝౌ(micro-welding)ޑຝวғ[37], [38]ǴቚуϪඤ໒ᜢޑტ ڮǶ2006 ԃ O. Rezvanian Γ[39]ගрௗߎឦ߄य़ಉᕫࡋჹௗႝߔޑቹៜǴவдॺ ޑࣴزύวӧ༾λϯޑߎឦௗϡҹǴځௗय़٠ߚ܌ᇡࣁޑय़ௗǴԶࢂ׳ௗ
߈ᗺ(spots)ௗǴӵკ 1.23(b)܌ҢǶӧᏹբߎឦჹߎឦௗࢤਔ໔ࡕǴҗܭᗺௗय़ ᑈቚуԶ٬ளௗႝߔΠफ़ǴЪቚуΑߎឦ໔ޑℚΚ(adhesion force)Ƕ
კ 1.23 (a)ڀ਼ϯᖓጢϐௗႝߔᐒڋ[34] (b)ௗ߄य़ࢤਔ໔ޑᏹբࡕǴ߄य़ௗ
य़ᑈቚу[35]
ќѦǴӵკ 1.24 ܌ҢǴଞჹ༾໒ᜢௗႝߔޑёࡋٰՉෳ၂[40], [41]Ǵҗკё ޕǴӧௗȐcontactȑ104 ԛϐǴӢࣁ߄य़ಉᕫࡋᒿௗԛኧޑቚуԶᡂλǴӢԜ
ௗႝߔᅌᡂλǴՠऊವӧௗ 106ԛϐࡕǴҗܭௗय़όᘐናᔐԶԋֽฯ ϯǴ٬ௗႝߔԖᅌᅌϲޑຝǶӧ 2007 ԃ Q. Ma Γ[42]٬Ҕ AuǵAuNi5ǵ Rh(Rhodium)ǵTungsten բࣁ໒ᜢϐௗᗺǴவჴᡍޑ่݀ว AuNi5аϷ Rh К Au׳ӝ໒ᜢϐௗᗺǶӧௗᆄޑ่ᄬीǴL. W. Linda Γ[43]ගрତӈ Ԅޑౚࠠс༧(ball grid array, BGA)่ᄬ٠ౚࠠс༧่ᄬЁκჹϡҹௗёࡋޑ ቹៜǴਥᏵჴᡍ่݀ளޕǴុόᘐޑᡣϡҹբ໒ᜢǴ٬ளࢌϩޑତӈԄޑౚࠠ
с༧่ᄬౢғӵკ 1.25 ܌Ңޑ༟܄ᡂԶቹៜډϡҹޑ໒ᜢტڮǶՠऩౚࠠс༧่ᄬޑ Ёκऩёаλډɩ2μmǴ߾ځௗტڮёຬၸ 108ԛǴӵԜёௗ߈Ҕ༾ᐒఓ໒ᜢޑ ტڮҞǶ
კ 1.24 ༾໒ᜢϐёࡋෳ၂[40], [41]
კ 1.25 (a) ତӈԄޑౚࠠс༧่ᄬ SEM კ (b)ϡҹᏹբࢤਔ໔ࡕǴځௗ୵ޑс༧่
1.6 CMOS-MEMS ϐ ϐ࣬ᇙำ
༾ᐒႝϡҹޑᇙբБԄёϩࣁٿᅿǺځࣁԾՉीᇙำᡯϷᇙำୖኧǴԜ բݤޑᓬᗺࢂԾЬ܄ၨଯǴёଞჹ܌ीޑ MEMS ϡҹीрന٫ޑᇙբำׇǴ ՠځલᗺࢂԜݤၨࣁਔǴीޣሡڀഢ࣬ޑᇙำᡍǹќᅿᇙբБԄ߾ࣁॷշ
ϐᑈᡏႝၡжπቷ(IC foundry)܌ගٮޑྗϯᇙำБԄ٠མଛȨࡕᇙำೀำׇ
(post-CMOS process)ȩֹٰԋ MEMS ϡҹϐीᇙբǶԜբݤޑЬाԖٿᓬᗺǺ(1) ڀ ഢ IC ႝၡϷ MEMS ϡҹӝϐᓬ༈ǴԖճܭՉх֖༾ᐒႝ༧(MEMS block)ϐӄ БՏسൂТޑวǴ(2) ᇙբϡҹ܌ሡाޑᡯёၸޑжπቷֹٰԋǴӢԜ ёᕭอϡҹᇙբਔำǶฅԶǴځલᗺ߾ࢂ༾ᐒႝࣴزΓѸ൩Ԗޑᇙำୖኧᆶᇙ ำᡯǴӧፏӭज़ڋޑᕉნϐύٰी܌ाޑ༾ᐒႝϡҹǶ
1.6.1 TSMC 0.35 μm 2P4M CMOS MEMS ᇙำϟಏ
კ1.26ࣁжπቷѠᑈᡏႝၡᇙϦљ(Taiwan Semiconductor Company, TSMC)
܌ගٮޑ0.35 μm CMOS 2P4M ᇙำǶӵკ܌ҢǴᇙำύԖٿቫޑӭޖ(polysilicon)ቫǵ Ѥቫ᎑ߎឦϷߎឦቫ໔ࣁ๊ጔቫޑϟႝቫ(dielectric layer)Ǵϟႝቫޑࣁ਼ϯޖ (silicon oxide)ǶऩӆଞჹቫߎឦቫϐಔԋբಒፓǴёวځߎឦቫЬाࢂҗ ߎឦ᎑(aluminum)Πхᙟේϯ⑲(Titanium nitride, TiN)Ϸߎឦ⑲(Titanium)ޑঁϖ ቫ่ᄬǶࣁΑᡣόӕߎឦቫ໔ૈڀԖႝ܄ᒡޑфૈǴ߾ሡाӧ਼ϯޖቫаᇑڅޑБ ԄᢕϾԋViaǴӆஒᏤႝ(ߎឦᙺ(Tungsten))༤ΕViaϣǴаԋᏤႝޑ೯ၰ(ջϣ
ௗӝጕၡ)ǶԜѦǴᙺޑΠҭхᙟේϯ⑲Ƕ࣬ᜢᇙำޑǴቫભжဦϷ࣬ჹՏǴ ፎୖԵკ1.26Ƕ
კ 1.26 TSMC 2P4M 0.35 μm ޑྗ CMOS ᇙำ
კ1.27 ࣁCIC܌ගٮޑྗȨࡕᇙำȩ[44]ǶԜྗࡕᇙำЬाх֖ٿᅿଳᇑڅמ
ೌǴϩձࣁߚӛ܄(anisotropic)ޑȨϸᔈᚆηଳᇑڅᇙำ(RIE dry etch process)ȩϷӛ
܄(isotropic)ޑଳᇑڅޖ୷݈מೌǶӧߚӛ܄(anisotropic)ޑϸᔈᚆηଳᇑڅמೌύǴࢂ
ճҔCF4/O2ႝዀࠟޔᇑڅߥៈቫǵϟႝቫǵӭޖǵ਼ϯቫϷޖ୷݈ǴԶߎឦቫ߾ё
բԜᇑڅמೌޑฯ(hard mask)ǹջࢂᇑڅޑߔᏲቫǴӢԜёаճҔߎឦቫٰڋ ᇑڅుࡋ܈ߥៈMEMSϡҹǶӛ܄(isotropic)ଳᇑڅޖ୷݈מೌǴ߾ࢂճҔࢧϯނ (SF6)
ႝዀǴӛ܄ᇑڅޖ୷݈ǴᙖҗۭϪȐundercutȑຝ٬ள༾่ᄬளаញܫǵᝌੌǶ ӧྗࡕᇙำޑТթֽीࢬำǴӵკ1.27(a)܌ҢǴճҔPADӀۓကటѐନӧ
Тύനቫޑߥៈቫ(Passivation layer)ǴаճࡕុޑᇑڅᇙำǶӆճҔRLSӀۓက рႣբߚӛ܄ଳᇑڅ܈่ᄬᝌੌޑୱǴӵკ1.27(b)܌Ңǹ၀ୱஒࠟޔᇑڅԿ ޖ୷݈៛р܈ࢂߎឦቫߔᏲՐࣁЗǶֹԋߚӛ܄ଳᇑڅޑᇙำϐࡕǴᆙௗջࢂ
ӛ܄(isotropic)ଳᇑڅޖ୷݈ޑᇙำ(კ1.27(c))ǴԜਔႝዀᇑڅஒଞჹค਼ϯޖቫߥៈ
ޑޖ୷݈߄य़ӛ܄(isotropic)ޑଳᇑڅǴ௩ޜޖ୷݈ԋ༾่ᄬᝌੌǴֹԋঁ
ྗࡕᇙำჴբǶҗܭߎឦቫǵ਼ϯޖቫၟޖ୷ޑᇑڅᒧКࡐଯǴ܌аߎឦϷ਼ϯ ޖቫޑ߄य़่ᄬ٠όڙډϼᝄख़ޑװᔐǶკ1.27(c)ࣁനࡕֹԋޑᝌੌ่ᄬୁӛওय़
(a) (b)
(c)
კ 1.27 CIC ܌ගٮޑྗࡕᇙำ(Standard-Post Process)
1.7 ࣴ ࣴزБݤᆶҞ
ӚձගрԖਏޑБݤٰှ،ᝌੌ่ᄬޑԔຝǺ (1) ӧԾՉࣴวޑᇙำीύǴᝌੌ
่ᄬࣁᚈቫǺϟႝϷߎឦǶҁࣴزନΑፓԜᚈቫޑᖓጢޑ؈ᑈୖኧ
ٰफ़եځϣᔈΚѦǴӧԜ่ᄬӆ؈ᑈቫߎឦᖓጢǴ٬ϐԋࣁΟቫޑᝌੌ่
ᄬǴ٠ճҔҁፕЎ܌໒วޑ in situ ᖓጢᔈΚਠ҅ݤٰ،ۓԜߎឦᖓጢϐȸࠆࡋȹǶӵԜ
ٰךॺ൩ёᙖҗΟቫϐፄӝ่ᄬٰ٬ளѳ݈όठܭԔᡂǶԜѦǴԜᖓጢਠ҅
ݤࢂӝ W. Fang [28]Ϸ Y.-H. Min [33]բޣϐࣴزБݤޑᓬᗺǶ(2) ӧᇙำжπ ቷ܌ගٮޑ CMOS-MEMS ᇙำύǴҁፕЎࣴزҗόӕߎឦϷ਼ϯቫ܌᠄Զԋޑѳ݈
่ᄬǴ٠ᙖҗԾՉࣴวޑྒྷᇑڅמೌѐନ឴࣊ቫ٬ځᝌੌǴӆҗჴᡍޑٰ่݀ፓՖ ᅿᖓጢ୴᠄ಔӝޑ่ᄬځԔໆࣁനλǶനࡕǴӆམଛӣᇑڅᇙำמೌٰ༾ፓѳ݈ޑࠆ ࡋǴаᕇளѳࠢന٫ϯޑѳ่݈ᄬǶ
ᕴ่аޑፕǴҁࣴزаΠӈ൳ᗺࣁЬाޑࣴزҞǺ
1. ीрബཥࠠ༾ᐒႝᡄᒠ٠໒วӝԜϡҹޑᇙำǴЪᇙำѸڀഢᆶ CMOS ᇙำӝϐૈΚǶ
2. ଞჹόӕޑϡҹᇙำीǴӚձගрԖਏޑБݤٰှ،ᝌੌ่ᄬޑԔຝǴ х֖ᖓጢ୴᠄ᆶӣᇑמೌϷ in situ ᖓጢᔈΚਠ҅ݤǶ
3. Չ࣬ᜢჴᡍٰໆෳӭϡҹϐख़ाޑ܄Ǵх֖ΑϡҹޑϪඤૈໆཞໆ
ෳǵϡҹ໒ᜢӧᏤ೯ϷόᏤ೯ރᄊਔޑႝߔॶǵϡҹޑ໒ᜢტڮᆶϡҹޑӅਁ
ᓎǶ
1.8 ҁ ҁЎࢎᄬ
ҁЎхࡴΑϤεϩǶҁകࣁᆣፕǴхࡴΑࣴزᐒǵЎӣ៝ϷࣴزҞǶಃΒ ക߾ගрೣऀӄЎޑ༾ᐒఓᡄᒠ႔ϐᏹբচᆶीፕǶಃΟകූᎩᔈΚޑໆෳ
Ϸਠ҅БԄǴ٠ஒ่݀ᔈҔܭ༾ᐒႝᡄᒠ႔ޑी/ᇙբǶಃѤകၸኳᔕࢬำǴхࡴϡ ҹޑኧॶኳᔕϩǵኳᄊኳᔕǵᡄᒠфૈϷރᄊᙯඤኳᔕǴаБߡϐࡕीϡҹթֽ
(layout)ЁκϷᇙำჴբǶಃϖകࣁ༾ᐒఓᡄᒠ႔ޑᇙǴҁЎගрΑٿᅿόӕޑᇙำמ
ೌٰᇙբϡҹǴ٠ᅿᇙำמೌ܌ᎁၶډޑᇙำୢᚒϷှ،БݤǴճҔ೭٤ჴբ ޑᡍаբࣁࡕុϡҹׯؼϐ୷ᘵǶಃϤകևٿᅿᇙำ܌ᇙբޑ༾ᐒႝᡄᒠ႔চࠠ
(prototype) Ϸϡҹޑෳ၂่݀ǶಃΎകբࣁҁࣴزޑ่ፕǴ٠ӧ่ፕύǴගрϡҹी
ޑׯБݤک҂ٰޑࣴزБӛǶ
Β
Βǵ༾ᐒႝᡄᒠ႔ϐी
2.1 ༾ᐒႝᡄᒠ႔πբচ
ҁύӃճҔၨޔޑΟቫԄޑϡҹ่ᄬٰᇥܴᡄᒠ႔ޑπբচǴᒿջӆஒԜ
ፕᔈҔډᚈቫԄޑϡҹी٠ࡌҥځϡҹޑኧᏢኳࠠǴаճࡕុޑϡҹୖኧीǴӵϡ ҹރǵЁκϷ០ႝᓸǶ
2.1.1 ΟቫԄޑ༾ᐒႝᡄᒠ႔
༾ᐒఓᡄᒠ႔ϡҹޑीཷۺёճҔӵკ 2.1 ޑঁΟቫԄǵᓉႝठ่ᄬٰᇥ
ܴǶӵკ܌ҢǴϡҹޑΠٿቫࣁڰۓႝཱུǴύ໔ቫ߾ࢂёޑᝌੌ่ᄬǴૈբ
/ΠՏ౽ǶΠቫޑႝཱུϩձࡼуڰۓޑ Vcc+Ϸ Vcc-ޑޔࢬୃᓸǴаϷӧᝌੌ่ᄬቫ ޑѰѓٿᆄႝཱུᒡΕ VaϷ VbޑႝᓸૻဦǴҗܭǵΒᆶΒǵΟቫύ໔Ԗόӕޑႝᓸৡ ϷΠႝཱུ໔ሜȐgap, d1, d2ȑǴӢԜΠቫႝཱུჹύ໔ᝌੌ่ᄬౢғελόӕǴБӛ
࣬ϸޑউᓉႝΚǴᓉႝΚޑӝΚελஒ،ۓύ໔ᝌੌ่ᄬ۳܈ΠՏ౽Ǵ٬ளᝌੌ่
ᄬޑᒡрႝཱུ(output terminal)࿘ډ/ΠႝཱུǴԶᒡрჹᔈޑႝᓸૻဦǶӢԜǴӵ Ֆᡣᝌੌ่ᄬቫ٩ྣࡰҢޑठБӛٰሀႝᓸૻဦǴ٬ளᒡΕᆶᒡрޑႝᓸૻဦ໔ڀ Ԗ୷ҁᡄᒠၮᆉޑᜢ߯ǴࣁԜ༾ᡄᒠ႔ޑύЈीཷۺǶ
კ 2.1 ΟቫԄᓉႝठ่ᄬޑ༾ᐒఓᡄᒠ႔ϡҹीཷۺკ
аΠஒ၁ಒᇥܴԜϡҹޑठচϷᏹբБԄǶӵკ 2.1 ܌ҢǴᝌੌ่ᄬቫӕਔ
Va=Vcc-ǴVb=Vcc+ǴԜਔϡҹޑբϸᔈஒᆶݩ(1)࣬ӕǶஒԜѤᅿᒡΕႝᓸૻဦᆶᒡ рႝᓸૻဦޑᜢ߯ܭ߄ 2.1Ƕଷ Vcc+Ϸ Vcc-ޑႝᓸૻဦϩձж߄ኧՏૻဦύޑ 1 Ϸ 0ਔǴԜϡҹ܌ϸᔈрٰޑᒡΕϷᒡрޑႝᓸૻဦᜢ߯(ୖ߄ 1.2 ޑॶ߄)൩ӵӕ
ᡄᒠ႔(җႝᡏ܌ಔԋ)ޑ NOR ႔Ƕ
ԜѦǴऩஒΠႝཱུޑޔࢬୃᓸ࣬ϸǴջႝཱུႝᓸࣁ Vcc-ǴΠႝཱུႝᓸࣁ Vcc+Ǵ ख़ፄॊޑᏹբচǴ٠ᇙբځ࣬ჹᔈޑॶ߄ǴךॺёаวϡҹޑᒡΕ/ᒡрᜢ߯
ӕܭঁޑ NAND ႔ǶӢԜǴҁीޑᓬᗺϐջӧܭǴόሡा׳ׯᐒఓ่ᄬ
ी܈ځдฯᡏीǴ׳ׯޔࢬୃᓸǴߡёஒԜϡҹޑᡄᒠфૈӧ NOR ႔Ϸ NAND ႔ ϐ໔ՉϪඤǶ
җܭॊΟቫԄᓉႝठᡄᒠ႔ޑ่ᄬीǴόܰճҔ༾ᐒႝޑуπמೌٰᇙբǶ ӢԜ T.-L.Chen [45]ஒკ 2.1 ޑϡҹीᙌᙯ 90 ࡋࡕǴճҔ༾ᐒႝύޑᡏࠠуπמೌ(bulk micromachining)ٰᇙբǶځ่ᄬीӵკ 2.2 ܌ҢǴᏹբႝᓸࣁ 20̒/0VǶ
߄ 2.1 ༾ᐒႝ NOR ႔ځᒡΕϷᒡрޑႝᓸᜢ߯
Case Va Vb Output
(1) Vcc+(1) Vcc-(0) Vcc-(0) (2) Vcc+(1) Vcc+(1) Vcc-(0) (3) Vcc-(0) Vcc-(0) Vcc+(1) (4) Vcc-(0) Vcc+(1) Vcc-(0)
კ 2.2 ᡏࠠ༾уπמೌ܌ᇙբрޑ༾ᐒႝᡄᒠ႔[45]
2.1.2 ᚈቫԄޑ༾ᐒႝᡄᒠ႔
ࣁΑᙁϯ༾ᐒႝᡄᒠ႔ޑᇙբำׇǴफ़եᏹբႝᓸǴ٬܌ीޑ༾ᐒఓᡄᒠ႔׳
ܰૈᆶځд IC ϡҹ(BJTǵFET)ӝӧଆǴҁࣴزගрΑᅿᚈቫԄޑ༾ᐒႝᡄᒠ႔
่ᄬǴ٠٬ள၀่ᄬёаճҔ߄य़༾уπ(surface micromachining)מೌٰᇙբǶ
ӵკ 2.3(a)܌ҢǴቫ่ᄬ(Յ༧)ࣁᙋᙋ݈Ԅޑѳ݈ǴԜ่ᄬЬाࢂҗᏤႝ܄
ޑ܌ಔԋǴӵᄞᚇޑӭޖǵߎឦߎ(au)܈ፄӝԄޑǴԶ၀ѳ݈җύ໔ԪՅ
༧ޑ๊ጔቫ(isolation layer)܌ߔ႖ǴӵԜջёӧѳ݈Ѱᜐࡼаޔࢬୃᓸ Vcc+Ǵѓᜐࡼаޔ ࢬୃᓸ Vcc-Ƕѳ݈җѰѓٿୁޑᝌᖉኺЍኖǴԜᝌᖉኺ่ᄬࣁᙯቸᘽ(torsinoal srping) ගٮѳ݈ቸ܄ࡠൺΚ(resilient force)ǹӵკ 2.3(b)܌ҢǴΠቫ่ᄬ(आՅ༧)߾ࢂڰۓޑ
ۭႝཱུǴх֖ΑΟϩǺ(1) ࡼуޔࢬୃᓸ(Vcc+, Vcc-)ޑ pad ႝཱུ(pad A and pad B)ǵ(2) ᒡ Εႝཱུ A Ϸ B (input terminal A and B)Ϸ(3) ᒡрႝཱུ(output terminals)ǶԜϡҹ่ᄬᆶ
ᓉႝΚ០ޑᙯ༾่ᄬ࣬՟ǴճҔסᙯኳᄊ(torsion mode)ٰՉठǴനεόӕϐ
ҁϡҹޑᏹբচӵΠǺϩձᒡΕ Vcc-Ϸ Vcc+ޑႝᓸૻဦܭ pad A Ϸ pad B ႝཱུ
ࡕǴႝᓸૻဦջёၸЍኖ่ᄬ(anchor)ӆၸᝌᖉኺǴ٬ѳ݈ٿୁϩձ Vcc-Ϸ Vcc+ޑ
ႝᓸૻဦǹӕਔΞӧᒡΕႝཱུ(input terminals A and B)ࡼу Vcc-܈ Vcc+ޑႝᓸૻဦࡕǴӢ ࣁۭႝཱུޑ០य़ᑈ(Al and Ar,ୖკ 2.3)څཀीԋѰѓٿᜐЁκόჹᆀǴ܌аջ٬ѳ
݈Ѱѓٿୁᆶځ࣬ჹᔈޑۭႝཱུԖ࣬ӕޑႝᓸৡǴӧѳ݈ޑѰѓٿୁϝӢࣁ០ႝཱུ
य़ᑈόӕǴԶౢғόӕελޑᓉႝΚǴ٬ளѳ݈ёරѰ܈ѓ௹ᜋᜋ݈ၮ(see-saw motion)Ǵ٠ᡣѳ݈ޑႝཱུௗډᒡрႝཱུǴԶሀрᝌੌѳ݈Ѱୁ܈ѓୁޑႝᓸ
ૻဦǶ
კ 2.4 ϩձࣁ NOR ႔ᆶ NAND ႔ޑࡼуୃႝᓸޑଛǶਥᏵ߄ 2.1Ǵ٩ׇᒡΕѤᅿ ኧՏૻဦಔӝܭᒡΕႝཱུ A ϷᒡΕႝཱུ B (input A and input B)Ǵ٬ளѳ݈ڙډᓉႝΚં
ޑբҔౢғסᙯၮԶௗډᒡрႝཱུǴӵԜѳ݈ޑႝᓸջёᙖҗ output ᆄᒡрǶ ԜѦǴճҔԜϡҹམଛӵკ 1.9 ޑଛጕБԄǴջёၲډځѬᡄᒠ႔ϐᡄᒠфૈǴӵ ANDǵOR Ϸ NOT ႔ǶӢԜ࣬ၨܭӃЎޑᡄᒠ႔ी[6], [14]ǴҁЎ܌ीޑᡄᒠ ႔ନΑૈ෧Ͽթֽय़ᑈޑੁѦǴϡҹஒ׳ڀወΚٰჴঁፄᚇޑᡄᒠႝၡǶ
ԜᚈቫԄᡄᒠ႔ीКၨ 2.1.1 λύ܌ගрޑΟቫԄᡄᒠ႔ीǴٿޣޑ࣬ӕೀ
ӧܭᐒఓ่ᄬࣣሡঁёаམၩٿঁႝՏޑᝌੌ่ᄬǹӧ࣬౦ϐೀ߾ࢂΟቫԄᡄᒠ႔ ϡҹࢂ௦ڗፓ/Πቫ໔ϐ໔ሜελٰၲډᡄᒠၮᆉфૈǴԶᚈቫԄޑᡄᒠ႔ी߾ࢂ
ၸीόӕЁκޑ០य़ᑈǴٰၲډᡄᒠ႔фૈǶ
კ 2.3 ༾ᐒႝᡄᒠ႔ϡҹ (a) NOR ᡄᒠ႔ႝᓸଛ (b) 3D চࠠ(Prototype)Ǵ๊֖ጔቫҢ ཀკ
კ 2.4 NOR ႔Ϸ NAND ႔ޑୃᓸଛҢཀკ
2.2 ᚈ ᚈቫԄ༾ᐒႝᡄᒠ႔ϐीᆶኳᔕ
ਥᏵ 2.1 ύ܌ගрޑ༾ᐒႝᡄᒠ႔ϐᏹբচёวǴी/ᇙբᚈቫԄ༾ᐒႝᡄ ᒠ႔ϡҹޑᜢᗖמೌӧܭѸाዴۓᝌੌޑѳ่݈ᄬૈਥᏵ܌ᒡΕޑႝᓸಔӝǴࡪྣ
ۓޑБӛӛѰ܈ӛѓᙯǴ٠ᝤҗႝཱུ໔ޑௗǴሀрჹᔈޑᒡрૻဦǶࣁΑाၲ
ډॊޑҞǴ༾ᐒႝᡄᒠ႔ޑ֎ߕႝᓸ(pull-in voltage)ǵ่ᄬϷЁκीǵᄊៜᔈǵ ރᄊᙯඤ(state transition)ջᡉள࣬ख़ाǶӢԜǴҁλஒ၁ॊ༾ᡄᒠ႔ޑᄊϩ
Ϸख़ाЁκ/่ᄬीǶ!
2.2.1 ༾ᐒႝᡄᒠ႔ޑᄊϩ
ҁፕЎ܌ගрޑᚈቫԄϡҹᄬǴځᝌੌ่ᄬࢂҗঁѳ่݈ᄬٿୁಒߏޑᝌᖉ ኺ܌ЍኖǴӵკ 2.5 ܌ҢǶѳ݈ڙډᓉႝΚ֎ЇౢғᓉႝΚંԶՉסᙯ(torsion)ၮ
ǴЍኖޑᝌᖉኺ߾תᄽቸᘽޑفՅǴගٮࡠൺΚᡣѳ݈ӣډНѳՏǴӢԜঁس
ޑᄊёаኳᔕࣁΒ໘ޑᄊسǴڙډᓉႝΚંϷᝌᖉኺගٮޑࡠൺΚંǴځ
ᄊБำԄё߄ҢࣁǺ
+ + = −
θ t R L
I θ Cθ K θ M M (2.2)
ӧԜǴIθࢂѳ݈ޑ፦ໆᄍ܄סં(mass moment of inertia)ǹC ࢂسύޑߔѭ߯ኧ (damping coefficient)ǹKtࢂᕴቸᘽޑᙯখ܄(torsinal stiffness)ǹMRϷ MLϩձж߄ӧѳ
݈Ѱѓٿᆄ܌ౢғޑᓉႝΚં(electrostatic torques)Ƕ
კ 2.5 ᚈቫԄ༾ᐒఓϡҹϐסᙯ่ᄬीǺ(a) 3-D Ңཀკ (b) ୁय़კ
ਥᏵკ 2.5 ޑϡҹ่ᄬीǴѳ݈ࢂҗٿঁѰѓೱௗޑᝌᖉኺ่ᄬ܌ЍኖǴ٠ᙖҗ ࠆࡋ(thickness)ǵΚኳኧ(shear modulus)Ϸཱུᄍ܄ં(polar moment of inertia)ǶԶdi ޑຯ ᚆ߾ࣁȸӭቫȹᖓጢ่ᄬޑᄒय़ᑈϐύ܄ືՏ(neutral axis)ډȸൂቫȹᖓጢ่ᄬޑ ᄒय़ᑈϐЈՏ(centroidal axis)Ƕ
ӧѳ݈ޑ፦ໆᄍ܄סં(Iθ)ϩǴҭёճҔډӭቫᖓጢፕளϦԄ(2.5)Ƕ
ӧคѦΚޑݩΠǴ༾ᐒႝᡄᒠ႔ޑಃኳᄊ(first mode shape)ޑᙯᓎࣁǺ
1
ԜѦǴҗܭԜᙯ่ᄬ௦ҔᓉႝΚ០ǴӢԜϡҹ០ޑ֎ߕႝᓸȐpull-in voltageȑ
ӧԜǴMtࣁᝌᖉኺޑቸ܄ࡠൺסં(resilient torque)ǹθsࣁ֎ߕفࡋ(snap down angle)Ƕ
2.2.2 ᡄᒠ႔ޑރᄊᙯඤ(state transition)ϩ
ރᄊᙯඤ(state transition)ࢂҔаᡍ IC ᡄᒠ႔܄ૈޑख़ाࡰϐ[48]Ƕᡍ
ޑҞޑӧܭዴᇡᒡΕόӕಔӝޑႝᓸૻဦܭኧՏϡҹਔǴϡҹૈճޑவঁރ
კ 2.6 ᚈቫԄ༾ᐒႝ NOR ႔Ǵځᓉႝסંᆶቸ܄ࡠൺסંϐᜢ߯კǶӵკ܌ҢǴᓉႝ
סંελࣁ҅ॶਔǴ֎ߕѳ݈ޑᓉႝסં٬ѳ݈ਔଞБӛᙯǹ࣬ϸޑǴᓉ
ႝסંελࣁॄॶਔǴѳ݈߾ࢂਔଞБӛޑᙯၮǶ
კ 2.6 ࣁ༾ᐒႝȸNORȹ႔ϐᓉႝᆶቸ܄ࡠൺסંϐᜢ߯კǴკύᕵືࣁΚંǴᐉ
ືࣁᝌੌѳ݈ޑᙯفࡋǶӵკ܌ҢǴࡼуಔࣣࣁ Vcc+ϐႝᓸܭᒡΕႝཱུ(input terminals A and B)Ǵջࣁკύ܌Ңཀޑ case III ޑԔጕǴԜਔӧҺՖѳ݈ᙯفࡋΠǴ ѳ݈܌ڙډޑᓉႝסંࣁࡡȸ҅ȹǴԶࡼуಔࣣࣁ Vcc-ϐႝᓸܭᒡΕႝཱུǴջࣁ კύ case I ޑԔጕǴԜਔѳ݈܌ڙډޑᓉႝסંࣁࡡȸॄȹǶଷᝌᖉኺޑቸ܄ࡠൺס
ંӧѳ݈λفࡋޑᙯΠࢂ಄ӝ߁լۓࡓ(Hooke's law)Ǵ߾ቸ܄ࡠൺסંஒࢂచ೯ ၸচᗺ০ޑޔጕǴځ௹ελջࢂᝌੌѳ݈ޑᙯখ܄Ǵջკύ case IV ޑԔጕǶӢ ԜǴऩૈीελޑסંখ܄Ǵӵკ 2.6 ܌ҢǴ٬ளځቸ܄ࡠൺסંૈϟܭᒡΕ
ૻဦࣁ(1,1)Ϸ(0,0)ޑᓉႝסંϐ໔ǴЪคҺՖޑҬᗺǴᒡΕૻဦࣁ(1,1)ਔǴӢࣁԜਔ ޑᓉႝסંࡡεܭቸ܄ࡠൺסંǴӢԜѳ݈ૈவҺཀޑ௹فࡋ(tilting angle)Πਔଞ
ᙯǴޔډ࿘ډѓᜐᒡрႝཱུǴԶᒡрჹᔈޑૻဦǶӕኬޑၰǴᒡΕૻဦࣁ(0,0) ਔǴѳ݈ҭૈவҺཀޑ௹فࡋΠਔଞᙯǴޔډ࿘ډѰᜐޑᒡрႝཱུǴԶᒡр ჹᔈޑૻဦǶ
ࣁΑाၲډঁȸNORȹ႔ޑᡄᒠфૈǴᒡΕૻဦޑಔӝࣁ(Vcc+, Vcc--)܈(Vcc-,
2.2.3 ᡄᒠ႔ޑс༧(dimple)่ᄬी
ᝌੌѳ݈ޑനεᙯفࡋǴࢂڗ،ܭȸѳ݈ޑߏࡋȹϷѳ݈ቫᆶۭႝཱུቫϐ໔ޑ
ԜѦǴӧᇙբᝌੌё่ᄬਔǴࢂճҔ่ᄬቫᆶ឴࣊ቫϐ໔ޑଯᇑڅᒧ
КǴஒ឴࣊ቫѐନԶ੮Π่ᄬቫǴᇑڅֹࡕǴѸӆᐕమࢱᆶଳᔿٿঁᡯǴ༾่
ᄬωё҅ᝌੌܭ୷ۭϐǴԜၸำ߾ᆀϐࣁ่ᄬញܫ(release)ǶҗܭమࢱޑբǴၸ ำύߚதܰวғ่ᄬᆶ୷ۭϐ໔ޑݠᗹ(stiction)ຝǴᏤठϡҹӧញܫࡕคݤᝌੌǶ ӢԜǴࣴزதճҔс༧่ᄬٰ෧Ͽ่ᄬᆶ୷ۭޑௗय़ᑈǴԶׯ๓ݠᗹރݩ(stiction problem)ޑวғ[38], [49]Ƕ
܌ас༧่ᄬޑीନΑёаӧόׯᡂᓉႝסંޑελΠǴٰۓᝌੌѳ݈ޑനε
ᙯفࡋǴҭёշܭफ़ե่ᄬቫᆶ୷ۭϐௗय़ᑈǴׯ๓ݠᗹރݩǶ
2.3 λ λ่
ӧҁλύ ϟಏΑ܌ीޑ༾ᐒႝᡄᒠ႔ᏹբচǴ٠ࡌҥΑ࣬ᜢޑኧᏢኳࠠа ٮࡕុϡҹी/ኳᔕϐҔǶਥᏵϡҹޑᏹբচёวǴԜीനεޑࡷᏯӧܭѸዴ ۓϡҹϣᝌੌޑѳ݈ૈᙯ(סᙯ)ԿႣය܌ۓޑБӛϷᆶᒡрႝཱུௗ(contact)Ǵ
ԶሀрჹᔈޑႝૻဦǶࣁΑाၲډԜҞǴךॺѸଞჹǺх֖ϡҹޑ០ႝཱུޑ
ރϷЁκǴЍኖቸᘽޑᙯখ܄ǴΠႝཱུቫ໔ϐ໔ሜϷ០ႝᓸǵୖኧՉीǶ ฅԶǴӧԜѸமፓᗺǴᝌੌѳ݈ޑനεᙯفࡋࢂϡҹڀഢᡄᒠфૈޑᜢᗖୖኧǶ ՠჴሞӧჴբǴᝌੌѳ݈ߚதܰڙډූ੮ᔈΚޑቹៜԶౢғߚႣයޑԔຝǴ٬
ளԜفࡋวғᡂϯǴࣁΑा෧ϿԜຝǴךॺѸჹᖓጢූᎩᔈΚޑਏᔈуаਠ
҅ǴϷճҔс༧่ᄬޑଯࡋज़ڋϡҹϐᏹբᙯفࡋǶ
Ο
/᎑ፄӝቫޑූ੮ᔈΚࢂᔈΚǴӢԜคፕӵՖঅׯЁκीǴࣣคݤၲԋѳڶޑᝌੌ ਥᏵ߃ޑᆉǴЍኖᝌᖉኺޑԔখ܄(bending stiffness)εऊКѳ݈ޑԔখ܄ε 20 ७ǶӢԜǴҗЍኖᝌᖉኺ܌ଅޑԔᡂǴёа۹ౣόीǹᝌੌ่ᄬޑԔᡂЬा
კ 3.1 Οܴݯ่ᄬޑᔈΚϩթკǺ(a) ୁय़่ᄬҢཀკ (b)ওय़่ᄬҢཀკ
ӢࣁΟܴݯ่ᄬࢂҗΟᅿόӕ܌ಔӝԶԋޑǴ܌аҁࣴزၸȨᡂඤᄒय़ݤ (transformed section method)ȩǴ܈ᆀȨᡂᄒय़ݤȩஒঁᄒय़่ᄬޑ܄፦֡ϯǴ аߡᔈΚϩ[46]ǶӧԜǴҁࣴزࢂଷύ໔ቫࣁ֡ϯၸำύޑୖԵǶ/Πቫޑ
ਏቨࡋ߾ёҗԾيᆶୖԵޑԖਏቸ܄ኳኧ(effective elastic modulusǴE )ϐi КॶளǴӵϦԄ(3.1)܌ҢǶ theorem)[51]ǴΟܴݯ่ᄬޑ፦ໆᄍ܄ં(Ie)ёҗϦԄ(3.2)ளǺ
2 2 2
2 2
ЎਥᏵ W. Fang [28]Ϸ Y.H. Min[33]բޣ܌ว߄ޑٿᅿූ੮ᔈΚໆෳБԄǴගрΑ
ᅿҔܭӭቫፄӝ่ᄬޑཥԄޑ in situ ᖓጢᔈΚਠ҅ݤǴ٠ҔԜБݤٰफ़եᖓጢύූ੮ ᔈΚჹᝌੌ่ᄬޑቹៜǶ
ӧԾՉࣴวޑᇙำύǴҗܭᝌੌѳ่݈ᄬࣁճҔΟᅿቫ܌ಔӝԶԋǴх֖
material a~cǴࣁΑᕇள่ᄬቫޑූ੮ᔈΚǴ٩Ᏽ in situ ᖓጢᔈΚਠ҅ݤǴѸሡճҔ ΟᅿᜪࠠޑᝌᖉኺԄᔠෳ่ᄬǹڀԖόӕޑಔӝϷᜐࣚచҹǴӵკ 3.2 ܌ᛤǶᙖҗ ໆෳځᡂໆٰᕇளූ੮ᔈΚǴ၁ಒᡯᇥܴӵΠǺ
კ 3.2 ΟᅿᜪࠠޑᝌᖉኺԄᔠෳ่ᄬǶ่ᄬ 1 җ b(material b)Ϸ nominally clamped boundary ܌ಔԋǶ่ᄬ 2 җ aǵ b(material aǵmaterial b )Ϸႄࠠᜐࣚ
(clamped boundary)܌ಔԋǶ่ᄬ 3 җ aǵ bǵ c(material aǵmaterial bǵ material c)Ϸႄࠠᜐࣚ܌ಔԋǶ
่ᄬ 1 (Structure 1)ࣁൂ b(material b)܌ಔԋޑᝌੌ่ᄬǴځڰۓᆄޑᜐࣚచ ҹࢂ௦Ҕ W. Fan բޣ[28]܌ගрޑ nominally clamped boundaryǹѝܥ״ᝌᖉኺᆶۭ
ௗޑय़ǶӢԜǴӧ่ᄬញܫࡕ༾ᝌᖉኺӧڰۓᆄೀౢғȨᜐࣚᙯȩਏᔈǴᙖҗ ໆෳᝌᖉኺޑᕴᙯفࡋ(Φb)ϷԔъ৩(ρb)Ǵջёᆉрൂᖓጢޑѳ֡ᔈΚ(mean
ࡋ(rotation angle)Ƕ
่ᄬ 2(Structure 2)ޑڰۓᆄ߾ࢂीԋႄࠠᜐࣚ(clamped boundary)Ǵᆶ Y. Min
բޣ[33]܌ගрޑᜐࣚచҹۓ࣬ӕǶԜ่ᄬ 2 ࣁٿቫޑፄӝǴϩձҗ a Ϸ
3.1.3 ᔈΚਠྗϐჴᡍ่݀
ࣁΑा in-situ ᔠෳ٠ਠྗᡄᒠ႔ϡҹύቫᖓጢޑූ੮ᔈΚǴΟᅿᜪࠠޑᝌᖉኺԄ ᔠෳኬҁ(ӵკ 3.2 ܌Ң)ѸՔᒿӧϡҹޑᇙၸำύǴଆᇙբֹԋǶམଛҁჴᡍޑ
༾ᐒႝᡄᒠ႔ीǴ aǴbǴc(material aǴbǴc)ϩձࣁߎ/᎑(au/aluminum)ǴΒ਼ϯ ޖ(silicon oxide)Ǵکߎឦ᎑Ƕ߄ 3.1 ӈр࣬ᜢޑ܄፦(properties)Ϸࠆࡋ(thickness)Ƕ
߄ 3.1 ᔈΚᔠෳ่ᄬϐୖኧϷᖓጢЁκ
Properties Material a
(Gold/Aluminum)
Material b (Oxide)
Material c (Aluminum) Young’s modulus (GPa) 75 [52] /80[52] 75 [52] 80 [52]
Possion’s ratio 0.4[53] /0.35[52] 0.3[52] 0.35 [52]
Density(kg/m3) 19280/2700 2200 2700
Thickness (μm) 0.3 2.94 0.25
Length (μm) 125 125 125
Width (μm) 100 100 100
٬ҔߚௗԄޑқӀυੋሺ(non-contact white-light interferometer)ǴໆෳᝌᖉኺԄᔠ
ෳኬҁϐ߄य़Ԕ፺ᄂ(deflection profile)Ƕკ 3.3(a)ᡉҢ่ᄬ 1(Structure 1)ޑԔໆ(δa) ࣁ 4.01 μm کԔъ৩(ρb)ࣁ2.24 10× −3mکკ 3.3(b)߄Ң่ᄬޑᜐࣚᙯفࡋ(Φb)ࣁ 5.58
җӃޑፕளޕǴҁᡄᒠ႔ޑᝌੌ่ᄬ(Β਼ϯޖϟႝቫᆶߎ/᎑ߎឦቫ)ᆶෳ၂ϡ ҹύޑ่ᄬ 2 ႜӕǴՠࢂځᝄख़ӛΠԔǴёૈӧคࡼуႝᓸΠޔௗ࿘ΠႝཱུǴӢ ԜѸஒځූ੮ᔈΚբံᓭǶЪҗॊޑჴᡍ่݀ளޕǴΒ਼ϯޖࣁᓸᔈΚǴߎ/᎑ࣁ
ᔈΚǴӢԜคݤҗׯᡂ೭ٿᅿޑ؈ᑈࠆࡋٰᕇளѳڶޑᚈቫᝌੌ่ᄬǶӵటᕇ ளѳڶޑᝌੌ่ᄬǴёՉޑբݤϐࢂӧԜᚈቫ่ᄬќѦ؈ᑈڀԖᓸᔈΚޑ
Ǵӵҁჴᡍޑߎឦ᎑ቫ(ᓸᔈΚ 70MPa)٠ፓځ؈ᑈࠆࡋǴᙖԜፓ่ᄬϣϐᔈΚ ϩթǴ෧ԔᡂໆǶ
ӧԜǴךॺஒჴᡍ܌ளޑԜΟቫޑූ੮ᔈΚжΕ(3.1)~(3.3)ϦԄύǴёаளޕ ӧচҁޑΒ਼ϯޖ-ߎ/᎑ᚈቫෳ၂ᝌᖉኺ่ᄬǴѸሡᚐѦ؈ᑈ 0.3 μm ޑߎឦ᎑Ǵωૈ
ᕇளѳڶคԔຝޑ่ᄬǶԜѦǴךॺஒ܌ᆉрޑූᎩᔈΚϷϡҹЁκୖኧǴж ΕԖज़ϡન೬ᡏ(ANSYS)բූᎩᔈΚჹᝌᖉኺ่ᄬ܌ԋޑԔᡂϩǴځኳᔕ่݀
ҭёளډ߈ЯѳڶคԔޑᝌᖉኺ่ᄬ(Ԕໆɦ0.035 μm)Ƕ
კ 3.3 (a) Οᅿᔠෳ่ᄬޑԔᡂໆ (b) ܫε่ᄬ 1 ϩ༧ޑԔᡂ
კ 3.4 ӧচҁޑΒ਼ϯޖɡߎ/᎑ᚈቫ่ᄬǴ؈ᑈ 0.3 μm ޑߎឦ᎑Ǵҗኳᔕ่݀วǴ ёᕇள߈ЯѳڶคԔຝޑෳ၂ᝌᖉኺ่ᄬ(ᆄᗺೀԔໆɦ0.035 μm)Ƕ
3.2 TSMC CMOS-MEMS ᔈ ᔈΚံᓭନी
ճҔжπቷ܌ගٮޑ CMOS-MEMS ᇙำᇙբᝌੌ่ᄬਔǴځ่ᄬѸҗځύ ޑߎឦቫϷϟႝ፦ቫಔӝԶԋǶҗܭคݤׯᡂቫޑᇙำୖኧϷࠆࡋǴӢԜӧԾՉࣴ
วᇙՉำύ܌٬Ҕޑ in situ ᖓጢᔈΚਠ҅ݤஒόҔǶ܌аӧԜᇙำύǴࣁΑૈளډ
ѳڶޑᝌੌ่ᄬǴҁፕЎࣴزճҔԜᇙำ܌ૈගٮޑԖज़ቫ(ୖ 1.6 λ)Ǵଛр ёૈޑߎឦ/ϟႝቫಔӝբࣁᝌੌ่ᄬޑ่ᄬǶനࡕǴӆམଛϸᔈᚆηӄय़ଳᇑڅޑ ࡕᇙำמೌ༾ፓѳ݈ϐࠆࡋǴаᕇளന٫ϯޑѳڶѳ่݈ᄬǶ
ӧᝌੌ่ᄬޑᒧϩǴҗܭϡҹޑۭႝཱུϷ឴࣊ቫѸϩձҔډᇙำ܌ගٮ ޑ metal-1 Ϸ metal-2 ቫǴӢԜᝌੌ่ᄬޑᒧѝԖӵკ 3.5 ܌ҢޑǴΟᅿёૈޑಔ ӝǺ(1)җ metal-3 ቫϷϟႝቫ܌ಔӝԶԋޑ type 1 ϡҹǹ(2)җ metal-3 ቫǵmetal-4 ቫϷ ϟႝቫ܌ಔԶԋޑ type 2 ϡҹǹ(3)җ metal-4 ቫϷϟႝቫ܌ಔӝԶԋޑ type 3 ϡҹǶฅ ԶǴჴሞӧᇙբϡҹਔǴΞӢڙډࢌ٤ᇙำୖኧޑቹៜǴ٬ள type 2 Ϸ type 3 คݤᇙբ
კ 3.5 Type 1~3 ϡҹǴځಔԋҢཀკ
3.3 λ λ่
ӧҁλύǴҁፕЎଞჹٿᅿόӕޑᇙำीǴӚձගрԖਏޑБݤٰှ،ᝌੌ่
ᄬޑԔຝǶӧԾՉࣴวޑᇙำϩǴךॺճҔ in situ ᖓጢᔈΚਠ҅ݤٰ،ۓ่ᄬ
ߕуߎឦቫޑᖓጢࠆࡋǴӵԜջёᙖҗΟቫԄޑፄӝ่ᄬٰफ़եᝌੌ่ᄬޑԔ ໆǶӧճҔжπቷ܌ගٮޑྗ CMOS-MEMS ᇙำϩǴҁፕЎीрΟᅿόӕ ߎឦϷϟႝቫޑଛٰಔԋѳ่݈ᄬǴ٠མଛࡕᇙำуπמೌٰ༾ፓᝌੌ่ᄬϐᡏࠆ ࡋǴᙖԜफ़եᝌੌ่ᄬޑԔໆǶ
Ѥ
Ѥǵ༾ᐒႝᡄᒠ႔ϐኳᔕϩ
4.1 ༾ᐒႝᡄᒠ႔ϐीኳᔕࢬำ
ࣁΑाᡍ༾ᐒႝᡄᒠ႔ޑёՉ܄ǴҁፕЎճҔԖज़ϡનϩ (finite element analysis)೬ᡏࡌᄬϡҹޑ3-DኳࠠǴኳᔕϩϡҹޑ܄ǴхࡴǺӅਁኳᄊ(modal
߄ 4.1 ճҔߎឦჹߎឦௗޑեྕᇙำ܌ᇙբޑ༾ᐒႝᡄᒠ႔ϐᜢᗖЁκ ᒡΕႝᓸಔࣁ(1,1)ک(0,0)ޑ֎ߕႝᓸ(Pull-in voltage) 27.83/39.29 V
Ⴃයޑᏹբᓎቨ(Expected bandwidth) 40 kHz
ฅԶǴҗҁޑኳᔕ่݀ёޕǴ10 μm ޑЍኖᝌᖉኺޑቨࡋϷ 3 μm ޑΠႝཱུޑ
4.1.2 ኳᄊϩ(modal analysis)
ҁፕЎύǴ٬ҔҔԖज़ϡનϩ೬ᡏ ANSYS ٰኳᄊϩ(modal analysis)Ǵ܌
ࡌҥޑϡҹ 3D ኳࠠх֖ᇑڅϾǴӢࣁх֖ᇑڅϾǴ܌аᡏኳࠠރၨࣁፄᚇǴࣁ
ᆒྗǴ٬Ҕᗺၨӭޑϡન 186 (element solid 186)ٰϩǴ٠ׯᡂᆛελаዴᇡኳ ᔕ่݀คᇤǴҞ٬Ҕ 12933 ঁᆛϡનȐelementȑኧҞǶ
კ 4.1 Ԗज़ϡનݤϐϡҹኳᄊϩ (a)ಃӅਁᓎวғӧ 40.28 kHzǹ(b)ಃΒӅਁᓎวғ
ӧ 89.29 kHz
კ 4.1 ࣁճҔ ANSYS ೬ᡏ܌ࡌҥޑᆛϯ 3-D ϡҹኳࠠǶӵკ 4.1(a)܌ҢǴϡҹޑ
ಃӅਁᓎࣁ 40.28 kHzǴԜਔᝌੌѳ݈аЍኖቸᘽࣁືЈբᙋᙋ݈ԄޑסᙯၮǶ ӵკ 4.1(b)܌ҢǴϡҹޑಃΒӅਁᓎࣁ 89.29 kHzǴԜਔᝌੌѳ݈ޑٿୁՉӕޑ
ΠਁǶϡҹբӧԾฅᓎΠǴวғӅਁޑǴၸΑ၀ᓎࡕϡҹޑៜᔈזೲ
ጠӝ(coupling)ޑຝౢғǶҗኳᔕޑ่݀วǴԜٿঁӅਁޑՏԖ٤ௗ߈ǴѸӧ
҂ٰޑࣴزуаঅ҅Ƕ
4.1.3 ϡҹޑᡄᒠфૈ(logic functions)ኳᔕ
ӧҁፕЎύǴќѦճҔԖज़ൂϡϩ೬ᡏ(CoventorWare) ஒচӃीӳޑӀᔞ (mask layout)ϷቫޑࠆࡋᒡΕܭ೬ᡏύǴࡌҥр࣬ჹᔈޑ3-D༾ᐒႝᡄᒠ႔ኳࠠǶճ ҔԜኳࠠᡍӧಃΒക܌ගрޑᡄᒠीፕǴх֖ϡҹޑᡄᒠфૈϐբБԄϷځ ރᄊᙯඤфૈǶኳᔕޑ่݀ӵკ4.2܌ҢǴᒡΕૻဦಔӝ(input A, inpu B)ࣁ(0,0)ਔǴᝌ
ੌޑѳ݈ਔଞ(counterclockwise)БӛޑᙯǴԶᒡр1ޑૻဦ(ӕܭVcc+)Ƕ
ᒡΕૻဦಔӝࣁ(1,1)ǵ(1,0)Ϸ(0,1)ਔǴᝌੌޑѳ݈ਔଞ(clockwise)ޑᙯǴԶ ᒡ р ૻ ဦ 0 ( ӕ ܭ Vcc-) Ƕ ќ Ѧ Ǵ ऩ ٩ ׇ ࡼ а ό ӕ ޑ ႝ ᓸ ಔ ӝ ((0,0)↔(1,1)↔(1,0)↔(0,1))Ǵᝌੌ่ᄬߡૈճޑவচٰޑଶܫفࡋᙯԿΠঁ
ۓޑفࡋǴԜኳᔕ่݀ӕਔёዴᇡԜ่ᄬޑᡄᒠфૈϐբБԄϷރᄊᙯ౽ࣣ҅ዴค ᇤǴԶᡍԜ༾ᐒႝNOR႔ޑёՉ܄Ƕ
ԜѦǴѝाஒNOR႔ޑୃᓸϸௗ(Vcc-Ϸ Vcc+)Ǵӕኬ٩ׇᒡΕѤᅿኧՏૻဦಔӝǴ ӵკ4.3 ܌ҢǴҗځჹᔈޑᙯБԄǴҭёܴ܌ीޑ༾ᐒႝᡄᒠ႔ૈӧό׳ׯᐒ ఓ่ᄬޑރݩΠǴᙖҗ׳ׯޔࢬୃᓸޑଛǴԶၲډNAND႔ޑᡄᒠфૈǶ
კ 4.2 ճҔԖज़ϩ೬ᡏ(CoventorWare)ࡌҥр࣬ჹᔈޑ 3D ༾ᐒఓᡄᒠǶᒡΕޑႝᓸૻ
ဦಔӝᡂϯࣁ(0,0)⇔ (1,1) ⇔ (1,0) ⇔ (0,1)Ǵᝌੌѳ݈ᙯԿႣයीޑБӛǴջё ᡣϡҹڀഢ NOR ႔ޑᡄᒠૻဦᒡрǶ
⇔ (1,1) ⇔ (1,0) ⇔ (0,1))Ǵ
Input A , B : ( 0 , 0 ) Input A , B : ( 1 , 1 )
Input A , B : ( 0 , 1 ) Input A , B : (1 , 0 )
4.1.4 ූ੮ᔈΚჹᝌੌѳ݈܌ԋϐԔᡂኳᔕ
ਥᏵಃΟകූ੮ᔈΚޑ่ፕǴऩܭෳ၂ᝌᖉኺ่ᄬќѦ؈ᑈ᎑ߎឦȐᓸᔈΚǴ 70MPaȑǴ؈ᑈࠆࡋ0.3 μmǴளډঁѳڶޑᝌᖉኺ่ᄬǴӢԜፕᔈ௦Ҕ0.3 μmޑ
᎑ٰᇙբҁᡄᒠ႔ϡҹǴՠࢂҗܭҁჴᡍ܌٬ҔޑᐒѠ٠ߚᐒѠǴځᇙำ؈ᑈࠆࡋ ᜤаڋྗዴǴ܌аҁፕЎӧኳᔕਔࢂਥᏵჴᡍ่݀(ஒܭ6.2.1λ၁ॊǴୖკ6.2)௦Ҕ ᓸᔈΚࣁ70MPaǴ؈ᑈࠆࡋࣁ0.25 μmޑ᎑ٰᇙբҁᡄᒠ႔ϡҹǶ
ऩᝌੌѳ݈ڙډූ੮ᔈΚԶౢғӛԔ(curl up)ᡂǴ٩Ᏽ 2.2.2 λޑᡄᒠ႔ރ
კ 4.4 Ԗज़ϡન೬ᡏኳᔕѳ่݈ᄬޑԔᡂǴځᆄᗺೀޑനεԔໆࣁ 0.75 μmǶ
4.2 λ λ่
ӧҁകճҔҔԖज़ൂϡ೬ᡏANSYSǴዴᇡ܌ीޑ༾ᐒఓᡄᒠ႔ځᏹբᓎё
ၲ40.28 kHzǶԜѦǴऩࢂ܌ᇙբޑᝌੌ่ᄬҗȸ᎑/Β਼ϯޖ/ߎ᎑ȹޑΟቫ่ᄬಔӝԶ ԋǴځύࠆࡋϩձࣁǺ0.25 μm/3 μm/0.3 μm Ǵኳᔕ่݀วǴᝌੌѳ݈Ԗ۳ΠԔޑᖿ
༈ЪനεޑԔໆၲډ0.75 μmǶӢࣁ܌ीޑΠႝཱུቫ໔ϐ໔ሜଯࡋࣁ3 μmǴӢԜ
Ԕໆ܌ԋޑᙯفࡋϝλܭᡄᒠфૈ܌ाޑനεᙯفࡋ− ×15 10−3radǴӢԜѳ݈
༾Ԕࡕ٠όޔௗᆶᒡрႝཱུௗǴԋϡҹᡄᒠфૈѨਏޑݩวғǶ
ԜѦǴճҔҔԖज़ൂϡ೬ᡏCoventorwareǴዴᇡ܌ीޑ༾ᐒႝᡄᒠ႔ϡҹёᏹ բӧ(Vcc+ǴVcc-) = (25Ǵ-25V)ǴϡҹڀԖᡄᒠфૈǴЪϡҹᒡрޑȨރᄊᙯඤȩё҅த
ՉǶԜѦǴၸኳᔕᡍǴሡाஒޔࢬୃᓸޑଛ׳ׯǴϡҹջёҗNOR႔ޑᡄᒠ фૈᙯඤԋNAND႔ޑᡄᒠфૈǶ
ԜᏹբႝᓸջёޔௗᆶӧޑICϡҹՉӝǴჴҁ༾ᐒႝᡄᒠ႔ीޑۓҞǶ ฅԶǴ೭ኬޑीೕሡाཱུࣁᆒྗޑᇙำୖኧڋૈΚǶڙډᇙำᐒѠޑૈΚज़ڋǴ ҁፕЎϝ௦ҔӃߥӺޑीٰᇙբϡҹǴБߡՉϡҹޑёՉ܄ᡍǶ
ϖ
ᡯ 1ǺճҔߎឦগᚆݤ(Lift-off)ᇙբۭႝཱུޑߎឦᏤጕǵ֎ߕϷௗႝཱུ
ӧߎឦগᚆݤᇙำ໒ۈϐǴሡाӃၸႣӃమࢱϷႣӃ؈ᑈპϷ๊ጔቫԜٿঁ
ᇙำᡯǶฅࡕճҔྗమࢱำׇ(RCA clean process)Ǵ٠ຎሡाቚуݰణࢧለྋ నǴஒТޑԡࢉނᏃёૈమନǶௗӧТճҔ਼ϯᘉණᆅԋߏ؈ᑈ 2000 Å ޑ ଳ਼਼ϯޖቫ(dry oxidation layer) Ϸ 1000 Å ޑේϯޖቫ(silicon nitride layer)ϩձࣁ პቫ(buffer layer)Ϸႝ܄๊ጔቫǶֹԋॊޑႣӃྗഢᇙำࡕǴௗӆՉߎឦগᚆᇙ ำǶ२ӃǴӧ༝߄य़༡ቫ AZ-5214 ޑ҅ӀߔǴճҔΒԛᚼӀϷฯ(hard bake)ஒ ځϸᙯԋॄӀߔǴϐࡕӆၸᡉቹᡯࡕۓကр܌ሡϐკਢǴௗ٬Ҕᇃᗓݤ؈ᑈ 300 Åሐߎឦ(chromium,Cr)ޑᗹቫǴҔаගଯߎឦߎᆶΠБ୷ޑߕ܄Ƕௗӆ؈ᑈ 0.1 μm ޑߎբᏤႝቫǴനࡕճҔߎឦগပݤǴளډ܌ሡޑߎឦᏤጕǵ֎ߕϷௗႝཱུǴ ၁ಒޑߎឦগᚆᇙำፎୖ 5.1.2 λǶ
ᡯ 2Ǻ؈ᑈ឴࣊ቫբࣁϡҹϐޜ໔ሜ(air gap)
аႝዀᇶշϯᏢ࣬؈ᑈس(Plasma Enhanced Chemical Vapor Deposition, PECVD)
؈ᑈ3 μm ޑߚޖ(Amorphous Silicon, α-Si)ǴԜߚޖӧϡҹញܫޑၸำύ౽ନǴ բࣁϡҹϐΠႝཱུ໔ޑޜ໔ሜǴӢԜᆀࣁ឴࣊ቫǶௗճҔႝགጠӝႝዀԄޖᇑڅ سȐICPȑஒȨс༧Ӏ(dimple mask)ȩϷȨుྎӀ(deep trench mask)ȩޑკਢᙯӑ ԿԜ឴࣊ቫǶс༧Ӏࢂӧ឴࣊ቫճҔߚӛ܄ଳᇑڅמೌǴۓကрుࡋऊ2 μmޑ пኲǴԶుྎӀ(deep trench mask)߾ࢂӧ឴࣊ቫճҔӕኬޑᇑڅמೌǴۓကрЍ ኖ่ᄬޑྎୁᏛރǶӧԜǴݙཀᇑڅᇙำ܌٬ҔޑᇑڅୖኧǴࢂёעпኲϐୁᏛ
ޑ᎑ߎឦᏤႝቫǶӧԜݙཀޑࢂճҔᇃᗓޑБԄ؈ᑈߎឦਔǴҗܭځ໘ఊᙟᇂ܄ό٫
аᘢᗓ(sputter deposition)ޑБԄ؈ᑈ0.25 μmޑߎឦ᎑ǴԜߎឦᖓጢନΑёаᔅշϡ ҹ่ᄬܢᏲଳᇑڅޑᚆη៎ᔐѦǴҭёፓ༾่ᄬϣޑᕴූᎩᔈΚǴှ(mitigation)
კ 5.1 եྕߎឦௗޑᇙำᡯ
კ 5.2 ճҔ݆η(cap)༤кϐௗᗺ
5.1.2 ᇙำ่݀Ϸፕ
Β਼ϯޖᖓጢࢂճҔ୯ৎڼԯϡҹჴᡍ࠻(NDL)ޑOxford Plasmalab System 100ᐒ ѠаPECVDݤ؈ᑈֹԋޑǶਥᏵЎ[54-56]܌ගрޑჴᡍൔளޕǴቹៜᖓጢᔈΚޑᜢ
ਥᏵЎ[32]߄ҢǴճҔᘢᗓݤ܌؈ᑈޑߎឦᖓጢǴӢচηናᔐਏᔈ(atomic peening effect)Ǵ٬ளᖓጢϣޑූᎩᔈΚᡂϯᆶ؈ᑈޑࠆࡋԖᜢǶӧҁፕЎύǴਥᏵ3.2λ܌
ගрޑin situᖓጢᔈΚਠ҅ݤǴрҔٰਠ҅/ک่ᄬϣᔈΚޑߎឦᖓጢቫࠆࡋࣁ0.3 μmǶՠڙډᐒѠޑज़ڋǴคݤᆒྗڋ؈ᑈୖኧǴЪᖓጢࠆࡋׯᡂǴූ੮ᔈճᒿϐ ׯᡂǴ܌аჴሞӧᇙբ༾ᐒႝᡄᒠ႔ϡҹਔǴ᎑ቫޑࠆࡋϝᒧҔ0.25 μmǶ
߄ 5.1 а PECVD ݤ؈ᑈΒ਼ϯޖ(SiO2)ᖓጢ Temperate (кк) 300ʚ
ΦN2O, ΦSiH4
[N2O/SiH4]
525 :75(sccm) 7
RF Power 100W
Cavity Pressure 1Torr
კ 5.3 ؈ᑈೲᆶ[N2O/SiH4]ޑКॶᜢ߯კ[54]
კ 5.4 ූ੮ᔈΚᆶ[N2O/SiH4]ޑКॶᜢ߯კ[55]
კ 5.5 ᓎфᆶᖓጢᔈΚϐᜢ߯[56]
ߎឦগᚆݤ(Lift-off)
ߎឦগᚆݤϐচЬाࢂஒӀߔ༾ቹۓကрკਢࡕǴܭӀߔБ؈ᑈߎឦᖓጢǴௗ
ճҔЧ✉(acetone)ѐନӀߔ٠ӕਔஒځБϐߎឦᖓጢଆ౽ନǴനࡕѝ੮Π܌ሡޑ კਢǶаΠஒ၁ॊځᇙำࢬำϐಒǺ
კ5.6ࣁߎឦগᚆݤᇙำࢬำǶӵკ܌ҢǴ२Ӄӧ༝߄य़༡ቫAZ-5214EӀߔ [57]Ǵҗ೬(soft bake)ǵᚼӀࡕǴஒӀϐკᙯӑԿӀߔǴԜਔӃόՉᡉቹǴ ԶࢂӃஒӀߔа120ку2minǴᙖҗ๏ϒޑૈǴஒচӃࣁ҅Ӏߔޑ܄፦ϸᙯᡂ ԋॄӀߔޑ܄፦ǴௗӆՉಃΒԛޑᚼӀբǴԜԛޑᚼӀሡஒӀڗΠǴᡣ༝
Չӄय़܄ޑᚼӀǴϐࡕӆҗᡉቹޑᡯջёᕇள܌ሡϐკኬǶௗӆ٬Ҕ୯ৎڼԯϡ ҹჴᡍ࠻(NDL)ޑᇃᗓᐒ(Thermal Coater)ᗓߎឦᖓጢǴճҔႝཱུуႢǴ٬ϐᇃว ٠؈ᑈܭ༝߄य़Ǵԋ܌ሡޑߎឦᖓጢǶҗܭԜߎឦᖓጢࢂҔٰௗႝཱུϷႝ܄
ೱௗҔǴӢԜࣁΑளډࠔ፦ၨ٫ޑߎឦᖓጢǴӧԜ܌ᒧޑᇃᗓೲࣁ1Å/sǶќѦݙ ཀޑࢂǴӧᇃᗓޑၸำύǴᗓ500ÅޑߎឦᖓጢࡕߡଶЗᇃᗓǴࡑᇃᗓᐒޑ๚ᡏफ़
ྕԿதྕਔǴӆᝩុՉ؈ᑈբǴаᗉխऩԛᇃᗓਔǴӀߔӢ๚ᡏྕࡋၸଯԶ
ԋҁيޑฯϯࣗԿౢғᓫ(crack)ޑຝǴᏤठӧࡕុ٬ҔߎឦগᚆݤਔǴԋคݤ
კ 5.6 ߎឦগᚆݤᇙำࢬำҢཀკ (a) ᚼӀ (b)ϸᙯ೬ϷΒԛᚼӀ (c)ᡉቹ (d) ᇃᗓ ߎឦᖓጢ (e) lift off
ᒧ٬ҔAZ-5214EԖΟᓬᗺǺ(1)ԜӀߔޑࠆࡋၨᖓǴёаᡉቹрၨλጕቨǹ(2) ӀߔԖϸᙯϐ܄ǴӧၸΒԛᚼӀϷฯ(hard bake)ࡕǴAZ-5214EவচӃޑ҅Ӏߔ ϸᙯᡂԋॄӀߔǴ࣬ᜢޑᜢᗖୖኧǴӵ߄5.2܌ҢǶӢԜǴAZ-5214EନΑёаҔٰբ ᇑڅਔޑฯԄѦǴၸϸᙯޑ܄ҭёஒϐᔈҔӧߎឦগᚆᇙำǹ(3)ϸᙯࡕޑ AZ-5214ӀߔǴځୁᏛޑރࢂቨΠઞǴӵკ5.6(d)܌ҢǴԜރᡣ؈ᑈӧӀߔޑ ߎឦǴځ໘ఊᙟᇂ(step coverage)ૈΚᡂৡǴԶᡣӀߔБᆶΠБޑߎឦόܰೱӧଆǹ ӀߔޑୁᏛٿᜐጔஒ੮Ԗλޜሜ(คߎឦᙟᇂ)ǴБߡЧ✉ΕǴᡣߎឦগᚆޑၸำ׳
ࣁճԋфǴё׳ܰᇙբр܌ۓကޑკǶ
߄ 5.2 Ӏߔ AZ 5214 ୖኧ
Spin speed [rpm] : 4000 rpm 1.4 μm
Prebake 110ʚ, 50s, hotplate
Flood exposure >200 mJ/cm2(uncritical) Reversal bake 120ʚ, 2min, hotplate
ӛ܄ޑଳԄᇑڅ௩ޜמೌ
ϡҹύޑ/Πႝཱུϐ໔ሜीࣁ3 μmǴՠჴሞǴҗܭᝌੌ่ᄬڙډූ੮ᔈΚ ޑቹៜԶԋޑԔᡂǴ٬ள໔ሜᡂޑ׳λǶҗܭᏼЈྒྷᇑڅמೌӧλ໔ሜΠǴёૈ
Ԗߕ(stiction)ޑᅪቾǶӵკ5.7(b)܌ҢǴଞჹϡҹϐֽୱܫεǴёᢀෳډ֎ߕޑ
༧ςੌຠӧ୷ۭǶӢԜӧҁЎύගрճҔӛ܄ޑଳԄᇑڅᇙำמೌڗжதҔޑ
ྒྷᇑڅᇙำמೌٰ௩ޜ༾่ᄬۭΠޑ឴࣊ቫǶ
(a) (b)
კ 5.7 (a)ӧྒྷԄᇑڅޑញܫᇙำֹԋࡕǴϡҹวғ֎ߕ(sticion)ຝ(b)ଞჹϡҹϐֽ
ୱܫεǴёᢀෳډ֎ߕޑ༧ςੌຠӧ୷ۭǶ
ճҔ୯ৎڼԯϡҹჴᡍ࠻(NDL)܌ගٮޑᐒѠ(Oxford Plasmalab System 100)ӛ
܄ޑଳԄᇑڅᇙำਔǴլܺΟঁᜢᗖୢᚒǺ(1) ሡԵໆ่ᄬቫᆶ឴࣊ቫޑᇑڅᒧК
Stiction area
ᡏૈӧ༾่ᄬۭΠԖ20 μmаޑୁӛᇑڅૈΚ(undercut)ǴЪ឴࣊ቫૈֹѐନ௩ޜ ԶคූᎩނǹ(3)җܭკ໔ຯຫλ܈ᇑڅௗืαޑय़ᑈຫλǴଳᇑڅسύޑϸᔈ ނ܈ૈໆޑᚆηคݤډၲᇑڅௗืαϐۭǴ܈ޣϸᔈޑౢނคݤճ௨рௗื
ѦǴ٬ளᇑڅೲफ़եǶԜຝᆀࣁ༾ॄၩਏᔈ(Micro Loading Effect)ǴЪय़ᑈຫλǴ Ԝຝຫᝄख़ǶࣁΑှ،ॊޑୢᚒǴਥᏵZhu, TongtongΓ[58]ޑࣴزൔวǴѸ
ଞჹᇙำᐒѠޑޑπբ๚ᡏᓸΚǵགᔈጠӝႝዀф(ICP power)Ϸᓎф(RF power) ԜΟᅿᇙำୖኧՉჴᡍࣴزǶӢԜǴӧҁЎύୖԵ[58]ޑЎᇙբΑෳ၂่ᄬǴ ځᇙբࢬำӵკ5.8܌ҢǴ२Ӄӧsilicon wafer Ӄ؈ᑈቫଳ਼ϯቫǴёٛЗᇑڅᡏ ӧᇑڅ឴࣊ቫਔǴόܰװᔐډsilicon waferǶ឴࣊ቫࢂаPECVDݤ؈ᑈ3 μmޑߚޖ
(α-Si)ᖓጢǶ܌аᇑڅௗืαޑଯࡋஒڰۓӧ3 μmǴջࣁ឴࣊ቫޑ؈ᑈࠆࡋǶᙟ
ᇂӧ឴࣊ቫޑ਼ϯޖ߾ࢂаPECVDݤ؈ᑈ 3 μmޑΒ਼ϯޖǴբࣁฯԄ(hard mask)Ƕϐࡕׯᡂෳ၂่ᄬޑᇑڅௗืαޑቨࡋǹׯᡂޑጄൎவനλ10 μm ډനε150 μmǴٰෳ၂ᐒѠޑᇑڅᒧК(s)ǵୁӛᇑڅૈΚϷ༾ॄၩਏᔈ(Micro Loading Effect)ࢂ
ցܴᡉǶ
კ 5.8 ෳ၂ ICP ᐒѠޑӛ܄ଳԄᇑڅ௩ޜૈΚϐෳ၂่ᄬᇙբࢬำკ
ࣁΑाᡣ༾่ᄬᆶ឴࣊ቫϐ໔ᏱԖၨଯޑᇑڅᒧКǴӧᇑڅᇙำύǴעᐒѠޑ
ӧ۳ፄޑჴᡍၸำύว(კ5.9)ǴOxford Plasmalab System 100 ᐒѠޑ༾ॄၩਏᔈ
ຝ٠όܴᡉǶӵკ5.9(b)܌ҢǴӧόӕελޑᇑڅืαύǴځୁӛᇑڅޑߏࡋ٠คܴ
ᡉόӕǴЪځᇑڅೲࡋࣁ15 Å/sec.(ୖ߄5.3)Ǵՠࢂᇑڅుࡋऩၲӵკ5.10܌Ңޑ20 μmϐ ࡕǴᇑڅೲ࡚ೲΠफ़ࣗԿଶЗǶ೭ж߄܌ਠፓрٰޑന٫ϯᇑڅୖኧǴёᡣी
ޣૈӧ่ᄬޑᇑڅϾελڀഢၨቸ܄ޑीЪᇑڅϾϐ໔ޑຯᚆനӳόाຬၸ20 μmǴӵԜ߾คሡाᏼЈ༾ॄၩਏᔈԋ༾่ᄬคݤញܫǶ
߄ 5.3 SF6 ӛ܄ଳᇑڅޑᇙำୖኧ(ICP) Temperate (кк) 14ʚ
Selectivity: α-Si/
PECVD oxide 50 :1
RF Power 0W
ICP Power 1550W
Pressure 10Torr
Etch rate (Å/sec) 15
(a)
(b)
კ 5.9 ӛ܄ଳԄᇑڅ௩ޜᇙำෳ၂่݀ (a) ᇑڅ่ᄬޑຎკǴ (b)ᇑڅࡕ่ᄬޑ
ຎკǴёวচӃෳ၂่ᄬΠБߚޖ឴࣊ቫ(ుڜଢ଼ՅБ༧ୱ Area_A)ǴӢୁ
ӛᇑڅޑᜢ߯Ǵς௩ޜࢣᅰ(ևܴ༧)ǶԜѦǴόӕελޑௗืαځୁӛ ᇑڅుࡋ(Lc)൳ЯठǴӢԜղᘐค༾ॄၩຝౢғǶ
კ 5.10 ӛ܄ଳᇑڅᇙำǴᐒѠۭϪૈΚёၲ 20 μmǶSilicon substrate БϐߔᏲቫࣁ ଳ਼ϯቫ(Selectivity of α-Si / SiO2: >150:1)
Area_A
ᖓጢᔈΚໆෳϐෳ၂่ᄬᇙำी
ࣁΑໆෳᝌੌѳ݈Ь่ᄬύᖓጢቫޑූᎩᔈΚǴҁፕЎ܌ගрޑׯؼԄ in situ ᖓጢᔈΚਠ҅ݤǴམଛԜݤǴҁࣴزी/ᇙբΟᅿᔠෳ༾ᝌᖉኺ٠མଛٿᅿᜐࣚచҹǴ хࡴǺnominally clamped boundary Ϸ clamped boundaryǶ
კ 5.11 ࣁ่ᄬ A ޑᝌᖉኺϐᇙբࢬำǺ२Ӄӧ୷݈Ӄ؈ᑈ٠ۓကቫ α-Si ޑ឴
࣊ቫǴௗ؈ᑈ٠ۓကΒ਼ϯޖޑЬ่ᄬቫǴϐࡕӧ༡ቫӀߔቫբ឴࣊ቫޑฯԄ
ǴӆճҔॊޑӛ܄ޑଳԄᇑڅמೌ௩ޜ่ᄬۭΠޑ឴࣊ቫǴനࡕӆѐନӀߔֹ
ԋᡏჴբǶӵკ܌ҢǴԜ่ᄬ 1 ޑᝌᖉኺࣁ nominally clamped boundary [33]Ƕ܌а
่ᄬញܫࡕǴԜᝌᖉኺջӧڰۓᆄౢғᜐࣚᙯਏᔈǶ
ჴբݙཀǴࣁΑᡣᝌᖉኺૈӧᜐࣚೀౢғᙯਏᔈǴځۭϪޑຝ൩Ѹा
ڋளەǹջࢂዴߥӛ܄ଳᇑڅޑୁᇑుࡋǴёಖЗӧႣයޑᝌᖉኺᜐࣚǶҗॊޑ
ӛ܄ޑଳԄᇑڅ௩ޜמೌளޕǴۭϪຝനεёၲ 20 μmǶຬၸࡕǴځᐒѠᇑڅೲ൩
ᡂޑߚதᄌǶӢԜǴךॺёճҔԜ܄ीँрӀ(MASK A)Ǵӵკ 5.11(b)܌ҢǴ
٬ளᙟᇂӧᝌᖉኺБޑӀߔӧᝌᖉኺڰۓᜐࣚՏೀӭँр 20 μmǶ
җܭᝌᖉኺϷ឴࣊ቫڬൎڙډӀߔޑߥៈǴ܌аӧӛ܄ޑଳԄᇑڅᇙำਔǴᇑ څᡏѝவ҂ڙߥៈޑᇑڅืαೀᇑڅ឴࣊ቫǶΞӢࣁԜᝌᖉኺ่ᄬޑࣁܴޑ Β਼ϯޖǴ܌аךॺૈᙖҗᡉ༾᜔ᅱෳӛ܄ଳᇑڅޑୁᇑ(ۭϪ)ుࡋǴёಖЗӧႣය ޑᜐࣚՏǶԜѦǴݙཀᝌᖉኺܭڰۓᆄޑۯ՜ߏࡋ (ӵკ 5.11 ܌Ңϐ L1ߏࡋ) ѸाКᝌᖉࠆࡋε 5 ډ 10 ७Ǵωό٬ᝌᖉኺڙډᚐѦޑυᘋԶቹៜځᜐࣚᙯਏ ᔈǶ
კ 5.11 ่ᄬ 1 ޑᔠෳᝌᖉኺϐᇙբࢬำ
კ 5.11 ࣁКၨԖคीँрޑӀߔቫǴځᝌᖉኺӧၸଳᇑڅᇙำࡕ܌ౢғޑۭϪ
ຝǶӵკ 5.12(a)ǵ(b)܌ҢǴऩคीӀߔቫǴᝌᖉኺᜐࣚౢғၸᇑຝǴϸϐǴᝌ ᖉኺᜐࣚόౢғၸᇑຝǶ
კ 5.13(a)ࣁᚈቫԄᝌᖉኺ(่ᄬ 2)ޑᇙբࢬำǺ२Ӄӧ୷݈Ӄ؈ᑈ٠ۓကቫ α-Si ޑ឴࣊ቫǴϐࡕӆ؈ᑈ٠ۓကቫߎឦᖓጢቫϷΒ਼ϯޖޑЬ่ᄬቫǴаԋᚈቫ่ᄬ ٠མଛ clamped boundaryǶӧԜǴݙཀЬ่ᄬቫޑϷЁκࣣሡᆶ่ᄬ 1 ठǶӕ ኬޑǴკ 5.13(b)ࣁΟቫԄᝌᖉኺ่ᄬ(่ᄬ 3)ޑᇙำࢬำǴᆶ่ᄬ 2 Ьाޑৡ౦ӧܭǺ
่ᄬ 3 ࣁ่ᄬ 2 ӆ؈ᑈ٠ۓကቫߎឦᖓጢቫǶӵԜǴ่ᄬ 3 ջࣁΟܴݯ่ᄬ٠ڀഢ
clamped boundaryǶკ 5.14 ࣁᡉ༾᜔ۭΠ܌ᢀෳډញܫࡕޑ่ᄬ 2 Ϸ่ᄬ 3 ϐຎკǶ
კ 5.12 (a)҂ीँрӀߔቫਔǴᝌᖉኺڰۓᜐࣚೀۭΠޑ឴࣊ቫܰᎁڙډᇑڅᡏ ϐװᔐԶౢғпഐޑკႽ (b)ԖीँрޑӀߔቫਔ(ୖკ 5.11)Ǵᇑڅᡏόܰޔ
ௗװᔐᝌᖉኺڰۓᜐࣚೀۭΠޑ឴࣊ቫǴӢԜคၸᇑຝౢғ(คпഐޑკႽ)
კ 5.14 (a) ᡉ༾᜔ۭΠ܌ᢀෳډញܫࡕޑ่ᄬ 2 ϐຎკ (b)ᡉ༾᜔ۭΠ܌ᢀෳډញܫ ࡕޑ่ᄬ 3 ϐຎკ่ᄬǶ
5.2 ༾ ༾ᐒႝᡄᒠ႔ᇙբࢬำǺTSMC 0.35 μm 2P4M
ӧҁλύǴගраTSMC܌ගٮޑ0.35μm 2P4MޑCMOS-MEMSޑᇙำٰी/ᇙ բԜ༾ᐒႝᡄᒠ႔ǴԜᇙำޑᓬᗺӧܭځᆶICϡҹޑӝૈΚϷᇙำߡەǶฅԶ௦Ҕ CMOS-MEMSᇙำמೌᇙբϡҹਔǴҗܭࢂեྕᇙำޑᜢ߯ǴЪځᇙԋୖኧ٠҂ଞჹ༾
ᐒႝسޑᝌੌ่ᄬፓǴӢԜᝌੌ่ᄬܰڙډූ੮ᔈΚޑቹៜԶౢғԔᡂǴᝄख़ ޑ၉ஒ٬ளϡҹޑᡄᒠфૈѨਏǶ܌аǴҁፕЎीΑόӕߎឦϷϟႝቫ܌᠄Զԋ ޑᝌੌ่ᄬǴ٠མଛӄय़ଳᇑڅ (blanket etch)ޑࡕᇙำמೌǴவჴᡍޑ่݀ፓϩٗ
ᅿ᠄ಔӝޑ่ᄬीǴനૈᕇளѳڶޑᝌੌ่ᄬǶԜѦǴѐନ឴࣊ቫޑࡕᇙำמೌҭ
ࢂҁᇙำύख़ाޑᜢᗖמೌϐǹӢԜǴҁࣴزύ٬ҔΑόӕޑྒྷᇑڅనٰѐନ឴࣊
ቫǴԶόӕྒྷᇑڅనჹ่ᄬቫϷ឴࣊ቫޑᇑڅᒧКǶ
5.2.1 TSMC 0.35 μm 2P4M ᇙำᡯࢬำ
ճҔCMOS-MEMSᇙำמೌᇙբҁ༾ᐒႝᡄᒠ႔ǴӧթֽޑϩǴЬाԵໆޑӢન ԖǺ(1) ௦Ҕmetal-2ቫޑߎឦբ឴࣊ቫǴӕਔmetal-2ቫѸҭࣁߚӛ܄ଳᇑڅޑߔ ᏲቫǶӢࣁϡҹሡाޖ୷ٰ݈Ѝኖmetal-1ۭႝཱུǴӢԜޖ୷݈όૈڙډᇑڅװᔐǴ܌а (tungsten plugs)[17]Ƕ
ࡕᇙำϩ߾ࢂ௦ҔΑ୯ৎТسीύЈ(CIC)܌ගٮޑߚӛ܄ϸᔈᚆηଳ ᇑڅᇙำ (anisotropic RIE dry etch process)ᡣ឴࣊ቫ߄य़៛рࡕǴӆԾՉीྒྷᇑڅ ᇙำᡯٰញܫϡҹޑᝌੌ่ᄬǶӧԜᡯǴѸዴߥᇑڅనѝଞჹ឴࣊ቫᇑڅԶό
კ5.15ࣁType-1่ᄬीޑᇙำࢬำǴځ၁ಒޑᇙำᡯ௶ॊӵΠǺ
ᡯ aǺीPadӀკ
კ5.15(a)ࣁճҔTSMC CMOS 2P4M ྗᇙำ܌ᇙբֹԋޑϡҹওय़่ᄬǶࣁΑा
ѐନϩӧmetal-4ቫޑߥៈቫ(Passivation)Ǵ௦ҔҗCIC܌ගٮޑPadӀ(Pad Mask) ᙺਵ(Via-12ϷVia-23)ૈ៛рϟႝቫѦǴаճߎឦჹߎឦޑௗǶਥᏵTSMC 0.35μm 2P4Mᇙำޑी[59]ǴߎឦቫϷϟႝቫޑࠆࡋϩձऊࣁ0.65 μmϷ1 μmǴӢԜǴ่ᄬ
ޑϟႝቫԿϿѸ౽ନ0.25 μmǴωૈዴߥௗᆄޑߎឦૈၲډؼӳޑௗਏ݀Ƕ ӧԜᡯύǴ௦Ҕፂ਼ϯᇑڅనǴ(six parts of 40%ǴNH4F and one part of 49% HF, Buffered Oxide Etch (BOE)) ճҔ” ਔ໔ڋᇑڅݤ(time etch)” ዎঁϡҹܭBOEᇑ څనύऊ15ࣾǴၲډന٫ޑਏ݀Ƕ
ֹԋԜᇙำᡯࡕǴΠႝཱུቫ໔ϐ໔ሜႣीऊࣁ1.5 μmǶӧԜǶॶளݙཀޑࢂǴ ϟႝ਼ϯቫନΑࣁϡҹ่ᄬቫѦǴӕਔҭीࣁᝌੌѳ݈܌ሡाޑ๊ጔ่ᄬ(isolation feature)ǴӵԜωૈᡣѳ݈ԖᚈႝཱུǵᚈႝՏޑ܄Ƕ
ᡯ eǺӄय़܄ޑଳᇑڅᇙำ
ճҔϸᔈᚆηᇑڅᇙำ(STS RIE process)ଞჹϡҹ߄य़ޑϟႝቫբӄय़܄ޑᇑ څǶԜᡯஒ،ۓᝌੌ่ᄬޑϟႝ፦ቫࠆࡋǴёҔٰڋᝌੌѳ݈Ӣූ੮ᔈΚޑᙋԔ
ᡂǶԜѦǴᇙำύ܌٬ҔޑᐒѠࣁSTSϦљ܌ᇙǴࠠဦࣁMODEL C001-4ǶԜᐒѠ ЬाࢂճҔϤࢧϯ౷ႝዀ(SF6 plasma)ߚӛ܄ޑᇑڅǴځᇑڅΒ਼ϯޖ(SiO2)ޑᇙำ
ୖኧςӈܭ߄5.4ύǶ
നࡕǴၸॊϖၰࡕᇙำמೌǴջёֹԋtype-1ޑϡҹჴբǶ
კ5.16 ࣁtype-2ϡҹीޑᇙำǴᆶtype-1ϡҹᇙำനεޑৡ౦ೀӧܭtype-2ϡҹᇙ ำύޑߥៈቫ(passivation layer)ᜢۈࢂ҂౽ନޑǴӵԜૈߥៈځۭΠޑmetal-4ቫǴ
٬ளᝌੌ่ᄬቫх֖metal-4Ϸmetal-3ǴӢԜtype-2ϡҹϐᡏࠆࡋКtype-1ࠆǶයఈૈ
ᙖҗࠆࡋޑቚуٰफ़եූ੮ᔈΚჹѳ݈܌ԋޑԔᡂǶ
კ5.17 ࣁtype-3ޑϡҹीޑᇙำǴځᇙำᡯᆶtype-2ֹӄ࣬ӕǴόӕϐೀ
ӧܭtype-2ޑᝌੌ่ᄬቫх֖metal-4Ϸmetal-3ǴԶtype-3ޑޑᝌੌ่ᄬቫх֖metal-4Ǵ ӧԜ٠όӭуᙧॊǶ
߄ 5.4 ߚӛ܄ଳᇑڅΒ਼ϯޖϐᇙำୖኧ(STS,RIE) Temperate (кк) 300ʚ
ΦSF6 40 (sccm)
RF Power 50W
Cavity Pressure 100 mTorr Etch rate (Å/sec) 17.5
!
კ 5.15 Type-1 ༾ᐒႝᡄᒠ႔ޑᇙำࢬำკ
კ 5.16 Type-2 ༾ᐒႝᡄᒠ႔ޑᇙำࢬำკ
კ 5.17 Type-3 ༾ᐒႝᡄᒠ႔ওय़კ
5.2.2 ᇙำ่݀Ϸፕ
ճҔTSMC܌ගٮޑCMOS-MEMSޑᇙำٰ໒ว༾ᐒႝᡄᒠ႔ϡҹǴҗܭъࢤޑ ᇙำࢂ௦ҔжπኳԄ܌ֹԋޑǴӢԜѝሡݙཀթֽीࢂց҅ዴջёǶฅԶϡҹࢂցё ᇙբԋфǴࡕᇙำޑמೌωࢂᜢᗖǶаΠஒ၁ಒፕࡕᇙำჴբޑ่݀ǵ܌ᎁၶډޑୢ
ᚒϷځှ،ޑБݤǶ
ߥៈቫڙཞୢᚒ (Passivation layer damage)
კ5.18 ࣁӧᡉ༾᜔ۭΠ܌ᢀෳډޑtype 2 Ϸtype 3 ޑϡҹຎკǴԜຎკࣁճҔ PadӀϷRLSӀթֽीࡕǴӆၸ༾ቹᇑڅᇙำࡕ܌ևޑჴᡍ่݀Ƕӵკ܌ҢǴ ӧmetal 4ቫޑߥៈቫڙډࢌᅿำࡋޑװᔐǴԶ೭ঁຝวғӧӭԛޑΠጕइᒵύǴ ҞϝפόрዴϪޑচӢǶӧtype 2 Ϸtype 3ޑϡҹीύǴߥៈቫࢂीҔٰߥៈ
ۭΠޑmetal-4ޑϡҹ่ᄬቫǴ܌аऩߥៈቫڙډઇᚯǴஒ٬ளtype 2 Ϸtype 3ޑϡҹᇙ բؼफ़եǶ
კ 5.18 ࣁճҔ Pad ӀϷ RLS Ӏޑ༾ቹᇑڅᇙำࡕǴ܌ևޑ type-2 Ϸ type-3 ϐϡ ҹ९ຎკǶӵკ܌ҢǴӧ metal-4 ቫޑߥៈቫڙډࢌᅿำࡋޑװᔐǶ
ྒྷᇑڅߎឦ឴࣊ቫޑࡕᇙำמೌ
җܭႝᓸૻဦಔǴVcc+ϷVcc-Ѹࡼуѳ݈ޑѰѓٿୁႝཱུǴӢԜӧѳ݈ۭΠޑ metal-2ߎឦ឴࣊ቫޑ܌Ԗߎឦූ੮ނǴѸֹӄѐନଳృωૈٛЗอၡޑຝวғǶࣁ ΑाᡣϡҹڀഢߎឦჹߎឦௗޑфૈǴӧҁᇙำीύࢂ௦Ҕߎឦᙺਵٰբс༧่
ᄬǶӢԜӧࡷᒧ܈ፓଛྒྷᇑڅనਔǴѸԵቾډ܌٬Ҕޑᇑڅనૈֹӄ౽ନߎឦ឴࣊
ቫԶόઇᚯډϡҹ่ᄬޑϟႝቫϷௗᆄޑߎឦᙺਵǶӵਥᏵӃޑTSMC 0.35μm 2P4M ᇙำϐЎӣ៝(ୖკ1.25)ளޕǴߎឦቫࢂҗΟᅿߎឦ܌ಔӝԶԋǴх֖Αߎឦ
⑲ǵߎឦේϯ⑲Ϸߎឦ᎑ǶӢԜǴҁࣴزଞჹ೭ΟᅿߎឦޑᇑڅࣴزΑѤᅿᇑڅన хࡴǺ(1)᎑ᇑڅన(aluminum etchant)ǵ(2)ᡵ܄ᇑڅనAD-10(TMAH2.38%+ࣚय़ࢲ܄Ꮚ)ǵ (3)ьᛥለ(Carro's acid)Ϸ(4)⑲ߎឦᇑڅన(titanium etchant)ǴճҔҬϕݰޑБݤٰѐନ
܌Ԗӧ឴࣊ቫޑߎឦǶ߄5.5ӈрԜѤᅿᇑڅనޑಔԋԋҽϐଛКٯǵᇑڅྕࡋǵ ᇑڅೲϷᇑڅᜢᗖୖኧǶ᎑ᇑڅనࢂаᕗለ(H3PO4)ࣁЬाޑಔԋԋҽǴՠӢ ࣁᕗለڀԖଯᗹᅉ܄(high viscosity)Ǵ܌аӧѳ่݈ᄬۭΠǴᚆᇑڅϾၨుЪၨᇻޑ឴࣊
ቫǴ߾ሡा׳ӭޑਔ໔ٰѐନϐǴҭёૈԖคݤֹӄѐନޑᅪቾǶӢԜǴӭЎ
[60], [61]ࡌ௦Ҕьᛥለ(Carro's acid)ߎឦᇑڅనٰ౽ନԜߎឦ឴࣊ቫǶьᛥለߎឦᇑ څనёӕਔѐନ឴࣊ቫύޑߎឦ᎑ǵߎឦ⑲Ϸේϯ⑲ΟᅿߎឦǴฅԶӧკ5.19ޑჴ ᡍ่݀ύวǴऩࢂ၂კճҔьᛥለٰᇑڅ឴࣊ቫϣޑߎឦǴᇑڅֹࡕǴϝว
ԪՅ༾ಈޑԦࢉނ፦ූᎩӧmetal-2឴࣊ቫǶ೭٤ᆀϐࣁޖዦ(Silicon Nodules)ޑ༾ಈ ނ፦[62]ǴӢࣁคݤֹӄѐନǴᡣᝌੌ่ᄬޑញܫ(release)ᇙำѨ௳Ƕ
߄ 5.5 ߎឦྒྷԄᇑڅೲୖኧ(Å/min)
Aluminum Ti/TiN Tungsten (W)
Aluminum Etchant (32H3PO4:1NHO3:
5HAc:6H2O)
Heated Bench 80ʚ
Aluminum Initial etch rate : 34000 Underetch 50 [um], Etch time : 0.2 hour Underetch 150 [um],
Etch time : 1.6 hour
Ø Ø
AD-10 Aluminum 3000~4000 Ø Ø Carro’s acid Aluminum/Ti
/TiN
1800 Ti:240/
TiN:300
Ø
Titanium Etchant Ti/TiN ɧ100 8800 >100
კ 5.19 ճҔьᛥለѐନߎឦ឴࣊ቫࡕǴϝԖޖዦ(Silicon Nodules)ޑ༾ಈނ፦ූᎩ metal-2឴࣊ቫǶ
ҁፕύගрճҔAD-10ᡵ܄ޑᇑڅనٰ౽ନmetal-2឴࣊ቫϣޑߎឦǴЬाԖٿ
ঁԵໆӢનǶӢનǺAD-10மᡵᇑڅనᏱԖࣚय़ࢲ܄Ꮚ(active surfactants)ёफ़եనᡏ ޑ߄य़ΚǴᔅշமᡵనTMAH(2.38%)ૈᇸܰޑૈᅖډᇑڅϾۭΠޑߎឦ឴࣊ቫǴу ೲঁᇑڅϸᔈޑೲЪคᗹᅉ܄ޑୢᚒǶӢનΒǺӧჴᡍύวǴAD-10ᇑڅనჹܭ
่ᄬύޑ਼ϯޖϷ឴࣊ቫߎឦ᎑ޑᇑڅᒧК࣬ؼӳǴ൳Яόᇑڅ਼ϯޖǴ܌аค ሡڋϼӭޑᇑڅᡂኧǴѝሡஒϡҹᓉӧᇑڅనϣࢤਔ໔ࡕǴջёֹӄᇑڅ឴࣊ቫ ύЬाޑߎឦ᎑ǶҗܭAD-10ᇑڅన٠όװᔐ឴࣊ቫύޑߎឦ⑲Ϸේϯ⑲೭ٿቫ ᖓጢǴӢԜAD-10ᇑڅనӧѐନߎឦ᎑ࡕǴѸӆ٬Ҕߎឦ⑲ᇑڅనٰѐନഭᎩ ޑٿቫᖓጢ(ߎឦ⑲Ϸේϯ⑲)Ƕკ5.20ࣁճҔAD-10Ϸ⑲ᇑڅనޑᇑڅ่݀Ƕҗჴᡍ
่݀วǴᢕϾྎኲ(Via trenches)ϣޑߎឦᙺਵςֹӄᇑڅࢣᅰǶԜຝж߄ߎឦ
⑲ᇑڅనӕਔჹߎឦᙺԖ࣬זೲޑᇑڅϸᔈǶӵԜǴஒᏤठচӃीࣁΑߎឦௗ
ޑᙺਵ่ᄬӢڙډઇᚯԶคݤၲډႣයޑҞǶԿϞǴךॺϝคݤפډޑᇑڅనૈ
ӧѐନේϯ⑲ߎឦਔǴόװᔐډߎឦᙺǶ
კ 5.20 ၸ SEM კёวǴϡҹӧၸߎឦ⑲Ϸ⑲ϯӝނޑྒྷᇑڅᇙำࡕǴᢕϾྎኲ (Via trenches)ϣޑߎឦᙺਵ(tungsten plug)ςֹӄᇑڅࢣᅰǶ
5.3 λ λ่
ҁകϟಏ༾ᐒႝᡄᒠ႔ޑᇙำϩǴࣁΑᡣϡҹૈᏱԖߎឦჹߎឦௗޑфૈǴ ҁࣴزගрΑٿᅿCMOS࣬ᇙำמೌٰी/ᇙբ܌ගрޑ༾ᐒႝᡄᒠ႔ϡҹीǴϩ ձࣁճҔߎឦᙺ(tungsten)ௗ୵ޑTSMC 2P4M 0.35 μm CMOS-MEMS ᇙำᆶ ճҔԾՉࣴวճҔߎឦߎ(au)ࣁௗޑեྕᇙำǶ
௦ҔԾՉࣴวޑᇙำ܌ᇙբޑϡҹǴӢࣁᇙำीၨڀቸ܄ǴӢԜၨૈ಄ӝϡҹޑ
ਸᇙำሡǶЬाޑࡷᏯӧܭᝌੌ่ᄬޑූ੮ᔈΚᔈΚံᓭǶ௦ҔCMOS-MEMSᇙำ ᗨฅёᕭอᇙբϡҹޑਔำϷᇙำޑፄᚇࡋၨեǴՠӧᇙำύ܌ౢғޑᖓጢූ੮ᔈΚό
ܰѐନǴѝૈၸ่ᄬቫޑᒧٰफ़եёૈޑᖓጢූ੮ᔈΚౢғǶԜѦǴҁፕЎࣴز Αόӕޑᇑڅనٰᇑڅߎឦ឴࣊ቫǴനࡕᒧAD-10Ϸ⑲ᇑڅనǶฅԶҗჴᡍޑ่݀ว
Ǵߎឦᙺᆶߎឦ឴࣊ቫޑᇑڅᒧКό٫Ǵ܌аҞϝฅคݤၲԋߎឦɡߎឦௗޑ
܄ૈाǶ
Ϥ
Ϥǵໆෳ่݀ᆶፕ
ҁകஒ٩ׇᇥܴճҔॊٿᅿᇙำ܌ᇙբрޑϡҹځໆෳϩޑ่݀Ƕ
6.1 ԾՉ໒วᇙำᇙբϐϡҹ܄ໆෳ
6.1.1ߎឦௗϡҹϐ่ᄬᢀෳ
კ6.1ࣁճҔԾՉࣴวޑ༾ᐒႝᇙำ܌ᇙբޑᡄᒠ႔ϡҹǴԜਔკύޑᡄᒠ႔ۘ҂؈
ᑈߎឦ᎑ᖓጢǶӵკ܌ҢǴҗܭΒ਼ϯޖᖓጢቫࢂܴޑǴӢԜӧѳ่݈ᄬޑ๊
ጔቫރǵΒ਼ϯޖᖓጢቫۭΠޑߎឦႝཱུϷс༧่ᄬёၸᡉ༾᜔ᢀෳǶٿᒡΕႝ
ᓸૻဦவᒡΕႝཱུAϷB(input terminal A and B)ࡼуѐǶс༧่ᄬՏӧѳ݈ۭΠޑѰѓ ٿୁǶٿᒡрႝཱུ߾ӧϡҹۭႝཱུޑѰѓٿᆄೀǶനࡕǴѰѓٿᆄޑᒡрႝཱུၸႝ
ϕೱޑБԄӝӧଆǶ
კ 6.1 ӧԾՉࣴวᇙำύǴ҂؈ᑈനࡕၰ᎑ߎឦቫϐ༾ᐒႝᡄᒠ႔ѦᢀϷႝᓸଛБ
კ6.2ࣁۘ҂ញܫޑϡҹ่ᄬځ၁ಒওय़ЁκკǶ3.97 μmޑߚޖᖓጢቫ(឴࣊ቫ) ࠆࡋϷ2. 21 μmޑс༧่ᄬޑଯࡋǴ٬ளс༧ᆶۭႝཱུϐ໔ޑຯᚆѝԖ1.85 μmǶᝌੌ่
ᄬቫҗԿΠϩձࣁǺ᎑/Β਼ϯޖ/ߎ᎑ǴځࠆࡋϩձࣁǺ0.258 μm/ 2.94 μm/ 0.317 μm εऊܭᆶჴᡍीୖኧǶໆෳኧঁញܫޑϡҹǴჴᡍޑ่݀ว܌Ԗޑᝌੌ่ᄬࣣ
ᇸ༾ޑӛΠԔǶკ6.3(a)ࣁճҔқӀυੋሺ(White Light Interferometers)ໆෳځύϐ
ޑᝌੌѳ݈ǴӧញܫࡕޑᙋԔᡂໆǶҗܭᝌੌѳ݈۳ΠԔ0.86 μmޑՏ౽ໆǴӵԜ ஒԋ/Πႝཱུϐௗ໔ሜελவচӃޑ1.85 μm ᕭλԿ1 μmаΠޑຯᚆǴՠϝё҅த ၮբǶԜຯᚆஒԋѳ݈ޑ௹(ᙯ)فࡋܥ״ӧ8Ø10-3 radаΠǴ٠಄ӝѳ݈ޑ௹
فࡋόຬၸځനεज़(ᏹբᗺՏ)ޑচ߾ǶԜѦǴჴሞໆෳډޑѳ݈Ԕໆࣁ0.86 μmǴᆶճҔԖज़ϡનݤ(FEM)܌ኳᔕႣෳޑ0.75 μmޑѳ݈Ԕໆ(ୖԵ4.1.4λ, კ4.4
܌Ң)ǴऊౣԖ10%ޑᇤৡໆǶКၨϡҹޑѳ่݈ᄬӧۘ҂؈ᑈቫҔٰፓϡҹϣᔈ Κϐߎឦ᎑ᖓጢਔǴკ6.3(b)ࣁѳ݈ӧញܫࡕǴໆෳډޑԔᡂໆऊࣁ2 μmǶฅԶӧ ញܫѳ่݈ᄬǴѳ݈ᆶΠႝཱུϐ໔ޑޜሜ(gap)Ԗ1.8 μmǶӢԜёղᘐԜਔޑѳ่݈
ᄬᔈςᆶΠႝཱུௗǴ٬ளϡҹӧ҂ࡼуҺՖ០ႝᓸਔǴΠႝཱུς࣬ϕೱௗǴӵ Ԝஒ٬ளϡҹ഼ѨႣයीޑᡄᒠфૈǶҗॊޑჴᡍ่݀ҭёᡍճҔin situ ᖓጢᔈ Κਠ҅ݤǴ،ۓ่ᄬߕуߎឦቫޑᖓጢࠆࡋࡕǴջёᙖҗΟܴݯޑ่ᄬीफ़եᝌੌ
ѳ݈ޑԔᡂǶ
Silicon substrate Nitride/Oxide
Au
Al
Au/Al
a-Si Oxide
2.94ʛm 0.258ʛm
0.317ʛm
2.12ʛm
1.85ʛm (dimple)
(gap)
კ 6.2 ӧԾՉࣴวޑᇙำύǴϡҹۘ҂ញܫǴځс༧่ᄬওय़კ
კ 6.3 ӧԾՉࣴวޑᇙำύǴ༾ᐒႝᡄᒠ႔ӧញܫࡕޑᙋԔໆϩ (a)Οܴݯޑѳ่݈
ᄬǴځᙋԔໆࣁ 0.86 μm (b)ᚈቫԄѳ่݈ᄬǴځᙋԔໆࣁ 2 μm
6.1.2 ߎឦௗϡҹϐᄊ܄ໆෳ
ࣁΑाໆෳϡҹޑᄊϸᔈǴӧҁჴᡍύ௦ҔޑႜΝୌਁໆෳسϷམଛᆛ ၡϩሺ(network analyzer)ٰໆෳϡҹޑᄊៜᔈǶ
კ6.4ࣁϡҹޑᓎ(frequency)ៜᔈໆෳ่݀ǴځӅਁᓎ(resonant frequency)ࣁ39 kHzǶԜໆෳډޑӅਁᗺᆶճҔკ6.2ޑჴሞϡҹЁκǴஒځΕኧॶीᆉځኳᔕ่݀ࣁ 42.07 kHzǴऊౣԖ7%ޑᇤৡໆǶԜѦǴࣁΑளϡҹޑߔѭК(͎)Ǵךॺࡌҥঁྗ
Β໘سམଛس᠘ձޑБԄǴவჴᡍޑ่݀ϸᆉϡҹޑߔѭК(͎)ࣁ0.098Ƕ
კ 6.4 ӧԾՉࣴวޑᇙำύǴ༾ᐒఓᡄᒠ႔ϐᓎៜᔈკǶಃӅਁᓎऊӧ 39 kHzǴኳ ᔕॶࣁ 42.03 kHzǶ
6.1.3 ϡҹϐᡄᒠૻဦໆෳ
კ6.5ࣁჴᡍໆෳࢎᄬҢཀკǶӵკ܌ҢǴ२Ӄ໒ۈճҔᚈᒡрޑႝྍٮᔈᏔ (Agilent E3631A)ӧᝌੌޑѳ݈ځѰѓٿᜐޑႝཱུϩձࡼу+25 VϷ-25 V(ӧԜۓက+25
Vᆶ-25 VޑႝᓸૻဦࣁኧՏૻဦޑ1ᆶ0)բࣁϡҹޑޔࢬୃᓸǴӆճҔMEMS Motion ananlzer (MMA)уܫεᏔ(Power Amplifier)עMMAޑᒡрႝᓸૻဦܫεǴӧᒡΕႝཱུ
(input Aǵinput B)ύࡼу+25V܈-25VޑႝᓸૻဦǶࣁΑБߡᢀෳᒡΕૻဦᆶᒡрૻဦޑ ᜢ߯ϷᡂϯݩǴᒡΕૻဦᆶᒡрૻဦௗଌԿҢݢᏔ(oscilloscope)Ǵ٠ஒځॶᡉҢӧᑻ ჿޑΟঁόӕࠟޔڅࡋޑՏǶ
კ 6.5 ༾ᐒఓᡄᒠ႔ϐᡄᒠૻဦໆෳࢎᄬҢཀკ
კ6.6ࣁᡄᒠ႔ϡҹޑᒡΕϷᒡрϐૻဦᜢ߯ໆෳ่݀Ƕӧᏹբਢٯ(a)ύǴٿಔᒡ ΕႝᓸૻဦȐკύǺInput A, Input Bȑӧ(0,0)ᆶ(1,1)а100 HzޑᓎՉϪඤǴԶᒡрᆄ
ႝཱུȐკύǺOutputȑ߾ࢂᒡр࣬ჹᔈޑ1ᆶ0ޑႝᓸૻဦǶၸԜѤঁᏹբਢٯ(a)-(d) ޑჴᡍ่݀Ǵว܌ᇙբޑ༾ᐒႝϡҹૈჴNORᡄᒠ႔ޑႝၡфૈǶӕኬޑჴᡍࢎ
ᄬǴஒѳ݈ޑѰѓٿᜐޑୃᓸ҅ॄϸௗǶၸკ6.7ޑჴᡍ่݀วǴ܌ᇙբޑϡҹҭ
ૈჴNANDᡄᒠ႔ႝၡޑфૈǶӢԜǴᆕӝॊჴᡍޑ่݀ǴᡍΑճҔߎឦௗᇙ ำ܌ᇙբޑᡄᒠ႔ǴѝሡाׯᡂϡҹޑଛጕБԄǴջёӧӕᐒఓ่ᄬύჴNORک NANDٿᅿᡄᒠ႔ႝၡޑфૈǶ
Input (0,1)
2ms/div 10V/div Input (1,1)
6.1.4 ߎឦௗϡҹϐૈໆཞໆෳ
(Jelastic)ǵႝࢬ೯ၸϡҹϣޑೱௗᏤጕǴ܌ԋޑႝߔૈໆཞ(Jresistor)ǴаϷϡҹϣ
೭ΟᅿૈໆёᙖҗаΠޑϦԄϩձࣁᆉрٰǺ
ӧԜǴKtࢂЍኖቸᘽޑᙯখ܄(torsinal stiffness)ǴځॶёҗϦԄȐ2.4ȑᆉᕇள ऊࣁ9.68*10-6(NǸmǸrad-1)Ǵθࢂѳ݈௹(ᙯ)فࡋǴθmaxࣁѳ݈ޑനε௹فࡋǴӧ Ӹӧϡҹޑסᙯቸᘽ(torsional spring)ǴԶࢂޜߔѭޑߔΚ(damping forces)܌
ǶӢԜҁϡҹޑϪඤཞऊࣁ0.6337 nJǶ
კ 6.8 (a)ࣁෳ၂фཞޑႝၡଛკ (b) ϡҹӧᏤ೯ਔ(turn on stage)ޑኩᄊႝᓸᡂϯ (Vr(t))Ƕ܌ໆෳډޑϲਔ໔tsऊࣁ 14.8 μsǶ
6.1.5 ߎឦௗϡҹϐ໒ᜢტڮ(life time)ໆෳ
ӧໆෳϡҹϐ໒ᜢტڮǴךॺӃՉෳ၂ϡҹޑᐒఓ܄ϐტڮ (Mechanical lifetime)ǹջࢂόᡣϡҹޑΠႝཱུԖނޑௗǴٰᢀჸځᐒఓ܄ࢂցᒿߏ ਔ໔ޑᏹբԶᡂϯǶவჴᡍޑ่݀ёளޕǴϡҹբԛኧຬၸɧ106ԛࡕǴ٠҂วҺ ՖܴᡉޑӢન٬ளϡҹޑᐒఓਏૈཞѨ܈ϡҹޑ่ᄬڙډઇᚯୢᚒǶᒿࡕǴՉჴሞ ޑ໒ᜢෳ၂ǴջࢂᡣϡҹޑΠႝཱུԖނޑௗǹᝌੌѳ݈வѳᑽՏᙯ٠ௗ
ډᒡрႝཱུǶவჴᡍޑ่݀วǴෳ၂ϡҹӧᏹբᓎࣁ100HzਔǴځ໒/ᜢբԛኧ ຬၸ24,000ԛࡕǹջࢂբਔ໔ऊ5ϩដѰѓǴ൩ߚதܰวғᝌੌ่ᄬߕޑୢᚒ (stiction problem)ǴԜਔᒡΕႝᓸࣁ႟ǴЍኖቸᘽ܌ගٮޑቸ܄ࡠൺΚ(restoring force)ค ݤஒᝌੌ่ᄬӣԿНѳޑՏǶךॺෳ၂ΑኧঁϡҹǴ٩ฅԖӕኬޑୢᚒрǶ ӢԜךॺճҔScanning Electron Microscope (SEM)ϷAtomic Force Microscopy (AFM)ሺ
༧่ᄬϷௗۭႝཱུޑ߄य़ಉᕫࡋໆෳ่݀Ƕҗໆୁ่݀ύளޕǴс༧่ᄬӧߎឦɡߎ ឦௗځ߄य़ಉᕫࡋࣁ12.57 nmǴӧௗࡕࣁ5.73 nmǹௗۭႝཱུӧௗځ߄߄य़ ಉᕫࡋࣁ5.16 nmǴӧௗࡕࣁ4.13 nmǶԜ่݀ᆶЎ[39-41]ޑࣴزൔᜪ՟Ƕӧკ6.10 ޑSEMკύёᢀჸډௗۭႝཱུӧௗ/ࡕ٠คܴᡉޑᡂǴՠࢂӧс༧่ᄬ߾ว
ځ߄य़ޑςԖϩগᚆ܈ᛈઇ܄ޑઇཞຝวғǶӢԜᘐǴԜઇᚯຝࣁϡ ҹݠℚຝޑচӢǶԜຝҭၩܭځѬޑЎύ[37], [38]ǶᆕӝςޕޑЎǴךॺ
ෳԋߎឦௗᆄߕޑຝǴୢᚒёૈӧܭ០ႝᓸၸε(±25V)Ǵӧຬၸ24,000ԛ ޑ໒ᜢԛኧࡕǴ࣬ϕௗޑΠႝཱུஒܰᇨวрႝठᎂ౽(electromigration)ޑਏᔈ [63]܈༾ႝౌਏᔈ(micro welding effect) [37], [38]Ǵԋௗᆄ߄य़গᚆ܈ઇཞǶ ၁ಒௗᆄႝཱུӧௗਔޑނ܄ᡂϯϷԋߕຝޑፕϩǴёૈሡा׳ుΕޑࣴ
زϷࡕωૈှǶ߄6.1ӈрճҔԜᇙำ܌ᇙբޑ༾ᐒႝᡄᒠ႔ځௗ܄ૈϷ࣬ᜢ
ୖኧǶ
߄ 6.1 ӧߎឦჹߎឦௗᇙำύǴ༾ᐒႝᡄᒠ႔ځௗ܄ૈϷ࣬ᜢୖኧ Turn-on resistance ≈100 Ω
Turn-off resistance Out of range Mechanical lifetime ɧ106 cycles Electrical lifetime 2.4×104 cycles
კ 6.9 с༧่ᄬ(dimple)Ϸௗ(contact)ႝཱུӧߎឦჹߎឦௗࡕǴځ߄य़ಉᕫࡋໆෳ
่݀
კ 6.10 ϡҹวғߎឦߕ(stiction)ޑୢᚒਔǴႝཱུ߄य़Ԗগᚆ܈ઇޑຝǶ
6.2 TSMC 0.35 μm 2P4M ᇙ ᇙբϐϡҹ܄ໆෳ
6.2.1ϡҹ่ᄬᢀෳ
კ6.11ࣁၸࡕᇙำჴբࡕǴ܌ֹԋޑtype-1༾ᐒႝᡄᒠ႔ीǶӵკ܌ҢǴtype-1 ޑჴሞЁκࣁߏ260 μmǴቨ110 μmϷᝌᖉኺቨࡋࣁ15 μmǶҗܭϟႝቫࣁܴǴ܌
аёаӧᡉ༾᜔ۭΠమཱޑ܌ᢀჸډѳ่݈ᄬޑ๊ጔ่ᄬǵϟႝቫۭΠޑߎឦႝཱུϷ с༧่ᄬթֽीǶӵკ܌ҢǴVcc+ϷVcc-ޑႝᓸࡼуӧڰۓᗕ(anchors)Ǵᙖҗѳ݈
ޑΠЍኖኺ่ᄬǴஒႝᓸᏤԿᝌੌޑѳ݈ǶᒡΕޑႝᓸૻဦ߾ࢂࡼуӧᒡΕႝཱུ
AϷB(input terminal A and B)ǴԶс༧่ᄬଛӧᝌੌѳ݈ۭΠޑѰѓٿୁϐᜐጔ
ೀǶΠႝཱུௗਔǴीӧϡҹѰѓٿୁޑᒡрᆄႝཱུǴջёᒡрჹᔈޑႝᓸૻဦǶ ԜѦǴݙཀޑࢂǺӢࣁճҔԜᇙำᇙբϡҹਔԵໆډҔٰߥៈߎឦႝཱུޑ਼ϯ ޖᔈᚆႝཱུԖ5 μmޑ໔ຯǴ܌аtype-1ϡҹޑᜢᗖीЁκК߄4.1ޑЁκीӭр10 μmޑፂ໔ຯǴӵԜωૈዴߥᇑڅనόװᔐډϡҹϣޑߎឦႝཱུǶ
კ 6.11 CMOS-MEMS ᇙำ܌ᇙբޑ type-1 ༾ᐒႝᡄᒠ႔ѦᢀϷႝᓸଛБԄ
ᝌੌ่ᄬޑԔᡂ
კ6.12ࣁtype 1ϡҹύޑᝌੌ่ᄬԔᡂໆǶӵკ6.12(a)܌Ң่ᄬӛΠԔЪനε
ԔᡂวғӧٿୁǴനεᡂໆऊࣁ0.485 μmǶԜᡂໆஒԋΠႝཱུޑ໔ຯऊࣁ1 μmǶќѦКၨᝌੌ่ᄬځ҂ၸӄय़ଳᇑڅᇙำמೌǴӵკ6.12(b)܌ҢǴനεᡂໆ ऊࣁ0.785 μmǴԜᡂໆஒԋΠႝཱུޑ໔ຯऊࣁ0.7 μmǶ܌аǴਥᏵԜჴᡍ่݀ё วǴӧCMOS MEMSޑᇙำीύǴёճҔӄय़ଳᇑڅᇙำמೌٰ༾ፓϡҹ่ᄬቫޑ ࠆࡋǴᙖԜׯᡂѳ݈ϣޑූ੮ᔈΚϩթٰၲԋѳڶޑᝌੌѳ่݈ᄬǶ
კ6.13ࣁtype 2Ϸtype 3ϡҹӧ่ᄬᝌੌࡕǴճҔқӀυੋሺ܌ෳໆрޑ่ᄬԔᡂ
ໆǶᗨฅtype 2ޑϡҹीځ่ᄬӛΠԔޑᡂໆѝԖ0.25 μmǴՠࢂҗܭচӃᙟᇂ ӧmetal 4ቫБޑߥៈቫڙډװᔐઇᚯǴೱᡣmetal 4ቫচӃࣁϣೱௗᏤጕޑϩ ҭڙډઇᚯǴ٬ளႝૻဦคݤ҅ዴሀԿϡҹǴᏤठϡҹࡺምคݤ٬ҔǶ
Type 3ޑᝌੌ่ᄬ۳ΠԔᡂໆࣁ1.95 μm(ӵკ6.13(b)܌Ң)ǴԜᡂໆऊܭ
Πႝཱུ໔ޑ໔ሜǴж߄ѳ݈ٿୁޑႝཱུӧ҂ࡼу០ႝᓸΠǴρௗډΠႝཱུǶ Ԝ่݀ஒԋѳ݈คݤճҔᓉႝΚڋѳ݈ޑڋБӛǴ٬ளϡҹѨਏǶ
җჴᡍ่݀วǴऩाճҔTSMC 2P4Mޑᇙำٰᇙբᡄᒠ႔ϡҹǴtype-1ϡҹ่ᄬ
ीࢂၨ٫ޑᒧǴӢࣁԜीନΑёჴၨѳڶޑᝌੌ่ᄬѦǴ٠ЪёаόሡԵቾߥ
ៈቫܰڙډઇᚯޑୢᚒǶ
კ 6.12 type-1 ϡҹޑԔᡂໆ(a) ၸϸᔈᚆηӄय़ଳᇑڅᇙำࡕǴѳ่݈ᄬ۳Π
Ԕ 0.48 μmǶ(b)όၸϸᔈᚆηӄय़ଳᇑڅᇙำࡕǴѳ่݈ᄬ۳ΠԔ 0.785 μmǶ
კ 6.13 ၸ STS ϸᔈᚆηӄय़ଳᇑڅᇙำࡕǴtype-2 Ϸ type-3 ϡҹޑԔໆǶ(a) type-2 ϡҹ่ᄬ۳ΠԔ 0.25μmǶ(b)type-3 ϡҹ่ᄬ۳ΠԔ 1.95μmǶ
6.2.2 ϡҹᄊ܄ໆෳ
ӧҁჴᡍύ௦Ҕޑࢂ୯ৎТسीύЈ(CIC)܌ගٮޑႜΝୌਁໆෳس
Ϸམଛᆛၡϩሺ(network analyzer)ٰໆෳϡҹޑᄊៜᔈǴځࢎБԄӵკ6.14܌
ҢǶკ6.15ࣁϡҹޑᓎ(frequency)ៜᔈໆෳ่݀ǴځӅਁᓎပӧ36 kHzǶ
ќѦǴऩӧϡҹޑځύϐޑᒡΕᆄǴᒡΕ10sin(2π*103t)VޑႝᓸૻဦǴځѬႝཱུ
߾ۓࣁ႟ҷǴ٬ளႝᓸৡҗᒡΕߞဦ،ۓǶӵკ6.16܌ҢǴϡҹޑѳ݈ځठ
ޑᓎࣁ០ႝᓸᓎޑٿ७ǴӕਔځՏ౽ໆऊࣁ90 nmǶ
җܭচӃीҔٰௗႝཱུޑߎឦᙺਵ่ᄬǴܰڙډࡕᇙำᇑڅనޑװᔐ (ୖ5.1.2λޑჴᡍ่݀)ǴӢԜճҔԜᇙำ܌ᇙբрٰޑϡҹǴځᒡрޑႝૻဦϝคݤ
ၸҢݢᏔ܈ႝᒮᢀჸໆෳډǶӢԜǴҞѝૈၸӀᏢسᢀෳʑໆෳޑБԄٰᡍ
Ԝϡҹޑᡄᒠфૈ[18]ǶΨӢࣁҞ၀ϡҹۘคႝ܄ૻဦᒡрǴӧҁፕЎύ٠҂ӆճҔ ၀ϡҹՉᡄᒠфૈޑ܄ૈໆෳǶ
ʳ
კ 6.15 ӧ CMOS-MEMS ᇙำύǴϡҹޑӅਁᓎࣁ 36 kHzǶ
კ 6.16 ӧ COMS-MEMS ᇙำύǴ༾ᐒఓᡄᒠ႔ϐኩᄊϸᔈკǹᒡΕޑૻဦࣁ 10sin(2Ø 103πt)VϷѳ݈Տ౽ऊ 90 nmǶ
6.3 λ λ่
ҁകևΑٿᅿόӕᇙำ܌ᇙբޑ༾ᐒႝᡄᒠ႔ϡҹϐໆෳჴᡍ่݀ǶӧԾՉࣴว ޑᇙำБय़ǴҁࣴزਥᏵin situᖓጢᔈΚਠ҅ݤǴගрӧѳ่݈ᄬӆ؈ᑈቫߎឦᖓ ጢǴᙖԜፓ่ᄬϣޑූᎩᔈΚϐीǹவᢀෳѳ่݈ᄬޑԔໆᡂϯ่݀ǴᡍΑ ԜीБԄૈԋфှѳ݈ӢූᎩᔈΚޑញܫ܌ԋޑԔᡂໆǶӕਔǴҁЎਥᏵಃ
ΒകޑीፕǵಃΟകޑኳᔕ่݀ϷಃѤകޑᇙำी܌ჴբֹԋޑϡҹǴϡҹЁκ ߏ250 μmǴቨ100 μmϷ3.97 μmޑ໔ሜଯࡋǶၸϡҹϐᄊ܄ໆෳǴϡҹϐӅਁᓎ
ࣁ 40.03 kHzǵon resistance ≈100 Ωǵoff resistance Ǻ out of rangeǵ switching loss≈1.482 nJǵmechanical/electrical lifetimeǺ106 cycles / 2.4×104 cyclesǶ ԜѦǴҗჴᡍ่݀ёᡍǴ ҁࣴز܌ीޑ༾ᐒႝᡄᒠ႔ڀԖNAND܈NOR႔ޑᡄᒠфૈǴЪሡाၸ׳ׯޔࢬ
ୃᓸޑБԄǴόሡा׳ׯᐒఓ่ᄬीǴߡૈஒᡄᒠ႔ޑфૈӧNANDϷNOR႔໔բϪ ඤǶ
ӧCMOS-MEMS ᇙำБय़ǴϡҹЁκߏ260 μmǴቨ110 μmϷ1.5 μmޑ໔ሜଯࡋǶᗨ ฅҞ܌ᇙբрٰޑϡҹϝคႝૻဦᒡрǴՠၸჴᡍޑ่݀ёวtype-1ޑᇙำी
ёӧԜᇙำύᕇளѳڶޑѳ่݈ᄬǴӧᏹբႝᓸࣁ10/0 VΠǴ౽ጄൎ 90 nmǴЪځӅ
ਁᓎࣁ36 kHzǶ
Ύ
ीǴځ125 μmߏޑᝌੌѳ่݈ᄬѝӛΠԔ0.485 μmǶԜѦǴࣁΑाჴߎឦௗޑҞ
ǴӵՖᡣྒྷᇑڅనૈӧѐନTi/TiN/Alޑߎឦ឴࣊ቫਔ٠όװᔐϡҹ่ᄬࣁԜᇙ ำीޑനεࡷᏯǴӢԜӧԜᇙำύǴፓΑѤᅿྒྷᇑڅన(᎑ᇑڅనǴAD-10Ǵьᛥለ
Ϸ⑲ᇑڅన)ǴՠԿҞࣁЗ٠҂วӝޑྒྷᇑڅనёၲډीҞǶ
ӧϡҹޑໆෳ่݀ϩǺӧԾՉࣴวϐᇙำीБय़(ߎឦჹߎឦௗեྕᇙำ)Ǵ җܭᇙำڀഢၨቸ܄ޑीࢬำǴӢԜёჴҁፕЎ܌ගрޑϡҹೕǴҗځᜢᗖޑϡ ҹᡄᒠၮᆉϐႝૻဦᒡрǶԜচࠠϡҹޑीЁκࣁߏ250 μmǴቨ100 μmϷ3.97 μmޑ໔ ሜଯࡋǶਥᏵჴᡍޑ่݀ǴԜϡҹޑёӧᓎࣁ100 HzǴႝᓸελࣁ25/-25VΠᏹբ٠ѝ
ӧ҂ٰޑࣴزύǴךॺஒࣴزֽߎឦԋࠠמೌǴځཷۺࣁᙖҗᜪ՟ᐒఓуπޑБ ԄǴ༾уπ่ᄬޑௗ୵ǴٯӵǺճҔFIB (Focused Ion Beam)ӧௗᆄֽ༾уπǹᗓ
ό਼ܰϯЪКߎ׳ڀখ܄ޑߎឦǴӵკ7.1܌Ңޑȸႌ(Pt)ȹߎឦǶӵԜǴᔈёֹ
ӄׯ๓ௗߎឦ਼ܰϯϷคႝૻဦᒡрୢᚒǶ
(a) (b)
კ7.1 (a) ҂ᗓႌߎឦޑௗ୵ (b) ᗓႌߎឦޑௗ୵
ୖ
ୖԵЎ
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