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1 Vol. 9, o. 6 lefin Metathesis Features include: First Generation Grubbs Catalyst
2 2 Introduction Introduction Yves Chauvin obert. Grubbs ichard. Schrock erisson Chauvin 1971 Figure 2 1 Katz Schrock Grubbs Grubbs 5 CM CAMCM EM M CM ADMET [M] [M] William Sommer roduct Manager [M] eferences: (1) (a) Schrodi, Y.; ederson,. L. Aldrichimica Acta 2007, 40, 45. (b) Adv. Synth. Catal. 2007, 349, (lefi n Metathesis Special Issue). (c) Grubbs,.. Tetrahedron 2004, 60, (d) andbook of Metathesis; Grubbs,.., Ed.; Wiley-VC: Weinheim, 2003; Vols (e) Trnka, T. M.; Grubbs,.. Acc. Chem. es. 2001, 34, 18. (f ) Fürstner, A. Angew. Chem., Int. Ed. 2000, 39, (g) Schuster, M.; Blechert, S. Angew. Chem., Int. Ed. 1997, 36, (2) (a) erission, J. L.; Chauvin, Y. Makromol. Chem. 1971, 141, 161. (b) Chauvin, Y. Angew. Chem., Int. Ed. 2006, 45, (3) Katz T. J.; othchild,. J. Am. Chem. Soc. 1976, 98, (4) Schrock,.. et al. J. Am. Chem. Soc. 1990, 112, (5) guyen, S. T. et al. J. Am. Chem. Soc. 1992, 114, Figure 1 [M] Grubbs - M ADMET CM CM CAS MSDS sigma-aldrich.com/japan M, I aman, UV DF My rofile 1) Web language=japanese, 2) MSDS=English, 3) Country=Japan 3 Submit Web Tel: Fax: [email protected]
3 3 The Grubbs Catalysts Cy 3 Cy 3 Cy Grubbs 1 st generation catalyst Grubbs 2 nd generation catalyst Grubbs 3 rd generation catalyst Cy oveyda-grubbs 1 st generation catalyst oveyda-grubbs 2 nd generation catalyst Cy 3 Cy + 3 -BF iers-grubbs 1 st generation catalyst The Grubbs Catalysts Cy + 3 -BF 4 Cy 3 Cy 3 Cy iers-grubbs 2 nd generation catalyst Cy Discover ew Cross-Coupling Catalysts 2 d i-r Cy2 2 d Cy2 2 d i-r Cy2 i-r 2 d t-bu 2 i-r i-r i-r i-r i-r (from Xos) (from Sos) (from os) (from t-buxos) For more information, visit sigma-aldrich.com/buchwald sigma-aldrich.com Tel: Fax: [email protected]
4 4 ing-osing Metathesis ing-osing Metathesis C-C Villemin Grubbs 3 Grubbs Scheme 1 4 CM CM 2004 Wood Wood Scheme 2 2 mol Grubbs 25 mol Grubbs-oveyda 76 Grubbs oveyda-grubbs Grubbs iers iers Grubbs 0 Grubbs Scheme Grubbs 35 iers 50 M Scheme 4 7 IV Scheme 1 Scheme 2 Scheme 3 Et MB 76% Et Cy 3 Cy3 Cy 3 X (2-4 mol %) C66, 20 C X =, C 1-2 h 93% CF 3 X TBS 89% 85% Cy3 Cy3 (2 mol %) 2C=C2 C22, 25 C (25 mol %) toluene, Δ Cy3 BF4 (1 mol %) CD22, 0 C, 2h ingenol Et 98% Et >90% conversion 25% completion with Grubbs Catalyst (2 nd Generation) MB C C2 B(C 6F 5) 4 sigma-aldrich.com/japan Scheme 4 Tel: Fax: [email protected]
5 5 Stoltz Grubbs oveyda-grubbs CM Scheme 5 8 i-bu (5 mol %) benzene, 60 C i-bu 97% (+)-elatol = 22β - CM CM oveyda-grubbs Scheme 6 Donohoe CM oveyda-grubbs Grubbs TS TFA Scheme 7 Scheme (10 mol %) 1 toluene, 80 C 1 = TBS, 2 = Me, ; all combinations with 22α- and 22β- 1 =, 2 = Me, ; all combinations with 22α- and 22β- Scheme % ing-osing Metathesis Z - - Z - CM Grubbs 2 CM 72 Scheme 8 11 Et (10 mol %) toluene, 60 C then 1 eq TS 60% 3 C n-bu Cy 3 (10 mol %) toluene, reflux then 0.6 eq TFA 38% Scheme 7 Tel: Fax: [email protected]
6 6 ing-osing Metathesis CAM Schrock C-C Fürstner 14 CAM Scheme 9 eferences: (1) icolaou, K. C. et al. Angew. Chem., Int. Ed. 2005, 44, (2) (a) Villemin, D. Tetrahedron Lett. 1980, 21, (b) Tsuji, J. et al. Tetrahedron Lett. 1980, 21, (3) Fu, G. C. et al. J. Am. Chem. Soc. 1993, 115, (4) Fu, G. C. et al. J. Am. Chem. Soc. 1993, 115, (5) ickel, A. et al. J. Am. Chem. Soc. 2004, 126, (6) omero,. E. et al. Angew. Chem. Int. Ed. 2004, 43, (7) omero,. E. iers, W. E. J. Am. Chem. Soc. 2005, 127, (8) White, D. E. et al. J. Am. Chem. Soc. 2008, 130, 810. (9) Matsuya, Y. et al. rg. Lett. 2009, 11, (10) (a) Donohoe, T. J. et al. Eur. J. rg. Chem. 2005, (b) Donohoe, T. J. et al. Tetrahedron 2008, 64, 809. (c) Donohoe, T. J. et al. rg. Lett. 2006, 8, 543. (d) Donohoe, T. J. et al. Chem. Eur. J. 2008, 14, (11) Donohoe, T. J. et al. Angew. Chem. Int. Ed. 2008, 47, (12) Schrock,.. Chem. ev. 2002, 102, 145. (13) (a)fürstner, A. et al. Chem. Commun. 2005, (b) Schrock,.. et al. Adv. Synth. Catal. 2007, 349, 55. (14) Bindl, M. et al. J. Am. Chem. Soc. 2009, 131, Me TIS Et TS Et Et Me TIS Cy3 (7.5 mol %) C22, Δ Et TIS then TS TIS (85% yield over two steps) Me Me C2Me C 2Me Cy3 (15 mol %) toluene, Δ 72% ( )-(Z)-deoxypukalide Scheme 8 3Si Mo Si3 3Si (20 mol %) sigma-aldrich.com/japan Scheme 9 87% 54% Tel: Fax: [email protected]
7 7 Cross Metathesis Corey 3 Scheme 1 Cy3 Cy3 (10 mol %) C2C2, rt Me Me Me Me Cross Metathesis Grubbs o- - oveyda-grubbs 4 Scheme 2 Grubbs oveyda-grubbs 5 mol Grubbs owell β - α- -β - oveyda- Grubbs Grubbs 5 Scheme 3 6 Botta β Grubbs CuS Scheme 4 7 eferences: (1) Connon, S. J. et al. Angew. Chem. Int. Ed. 2003, 42, (2) Chatterjee, A. K. et al. J. Am. Chem. Soc. 2003, 125, (3) (a) Xiong, Z. et al. J. Am. Chem. Soc. 2000, 122, (b) Xiong, Z. et al. J. Am. Chem. Soc. 2000, 122, (4) Stewart, I. C. et al. rg. Lett. 2008, 10, 441. (5) Liang, Y.et al. Tetrahedron Lett. 2009, 50, (6) Diver, S. T. et al. Chem. ev. 2004, 104, (7) Castagnolo, D. et al. J. rg. Chem. 2009, 74, Scheme 1 Et Et Ac 89%, >20:1 dr Scheme 2 + Scheme Et Et (5 mol %) C22, Δ 91%, >20:1 dr Et (3 x 2 mol %) C22, Δ Cy3 (10 mol %) 2 eq. CuS 4 t-bu/2 1:1 μw, 80 C then, I 2 Bz Et Bz 98%, >20:1 dr MB Et 66%, 3:2 dr 85% E:Z = 1:1 Bz 51% 68% 39% 63% Scheme 4 Tel: Fax: [email protected]
8 8 ing-pening Metathesis olymerization M ing-pening Metathesis olymerization M M Ziegler atta M Grubbs M 2 M M M Grubbs Synthesis of ush-like olymers via M Cheng M - Cheng Grubbs DI Scheme 1 3 eferences: (1) (a) Ziegler,. et al. Angew. Chem. 1955, 67, 541.(b) atta, G. Angew. Chem. 1956, 68, 393. (2) guyen, S. T. et al. J. Am. Chem. Soc. 1992, 114, (3) Lu,. et al. J. Am. Chem. Soc., 2009, 131, TMS 1.0 eq Scheme eq (5 mol %) x TMS n brush-like polymer TF: C22 (9:1) y TMS x y polymerization of amino acid -carboxyanhydride CMU sigma-aldrich.com/japan + C F6 - For more information, visit sigma-aldrich.com/comu sigma-aldrich.com ATU Tel: Fax: Ethyl(hydroxyimino)cyanoacetate (XYMA) Bt, At C At [email protected]
9 9 Catalysts andbook of Metathesis, 3 volume set ISB Z EA 1 ea 69,600 2,6-Diiso pro pyl phenyl imido-neoph yl idene[( S )-( )-BIE] molybdenum(vi), 97.0% (C) [ ] C Mo 2 FW purum, ring-closing metathesis catalyst 3C 3C 3C 3C i-r t-bu Mo t-bu i-r C3 C MG-F 100 mg 53,500 Tris(triphenylsilyloxy)molybdenum nitride pyridine complex, 95% C Mo 2 3 Si 3 FW contains up to 10 wt. % toluene Si Mo Si Si mg 18,000 oveyda-grubbs Catalyst 1 st Generation [ ] C FW ,111,121 sigma-aldrich.com/materialicense MG 100 mg 10, MG 500 mg 41, G 2 g 124,100 Dichloro(3-methyl-2-butenylidene)bis(tricyclohexylphosphine) ruthenium(ii) [ ] C FW C C 3 C3 C3 Catalysts Grubbs Catalyst, 2 nd Generation [ ] C FW C 3C C3 C3 3C 6,111,121 7,329,758 sigma-aldrich.com/materialicense [email protected] Materia MG 100 mg 12, MG 500 mg 40, G 2 g 112,100 oveyda-grubbs Catalyst 2 nd Generation [ ] C FW C 3C C3 C3 3C 6,921,735 sigma-aldrich.com/materialicense MG 100 mg 13, MG 500 mg 54, G 2 g 159,000 3C C3 C3 C3 5,969,170 sigma-aldrich.com/materialicense G 1 g 21, G 5 g 74,500 Dichloro(3-methyl-2-butenylidene)bis(tricyclopentylphosphine) ruthenium(ii) [ ] C FW ,969,170 sigma-aldrich.com/materialicense G 1 g 21, G 5 g 69,700 Grubbs Catalyst, 1 st generation [ ] C FW C 3 C3 6,111,121 sigma-aldrich.com/materialicense G 1 g 20, G 5 g 74,000 Tel: Fax: [email protected]
10 10 [1,3-Bis(2-methylphenyl)-2-imidazolidinylidene]dichloro- (benzylidene) (tricyclohexylphosphine)ruthenium(ii) [ C FW C3 C3 [1,3-Bis(2,4,6-trimethylphenyl)-2-imidazolidinylidene]dichloro- [3-(2-pyridinyl-κ )propylidene-κc]ruthenium(ii) [ ] 3C C3 C C C FW C C3 Catalysts 6,111,121 7,329,758 sigma-aldrich.com/materialicense [email protected] Materia MG 100 mg 11, MG 500 mg 42, G 2 g 137,400 [1,3-Bis(2,4,6-trimethylphenyl)-2-imidazolidinylidene] dichloro(benzylidene)bis(3-bromopyridine)ruthenium(ii) C C FW C C 3 3C C3 C 3 11/094,102 sigma-aldrich.com/materialicense MG 100 mg 11, MG 500 mg 44, G 2 g 135,500 the nium Metathesis Catalysts Kit I sigma-aldrich. com/materialicense [email protected] Materia [email protected] 6,759,537 sigma-aldrich.com/materialicense MG 100 mg 10, MG 500 mg 43, G 2 g 130,800 [1,3-Bis(2,4,6-trimethylphenyl)-2-imidazolidinylidene]dichloro- (3-methyl-2-butenylidene) (tricyclohexylphosphine)ruthenium(ii) C C C3 FW C C 3 3C 5,969,170 7,529,758 sigma-aldrich.com/materialicense [email protected] Materia MG 100 mg 8, MG 500 mg 31, G 2 g 98,700 C 3 C3 C 3 thenium Metathesis Catalysts Kit I Components Grubbs Catalyst, 1 st Generation (Aldrich ) 1 G Grubbs Catalyst, 2 nd Generation (Aldrich ) 100 MG oveyda-grubbs Catalyst 2 nd Generation (Aldrich ) 100 MG oveyda-grubbs Catalyst 1 st Generation (Aldrich ) 100 MG Dichloro(3-methyl-2-butenylidene)bis(tricyclohexylphosphine)ruthenium(II) (Aldrich ) 1 G Dichloro(3-methyl-2-butenylidene)bis(tricyclopentylphosphine)ruthenium(II) (Aldrich ) 1 G [1,3-Bis(2-methylphenyl)-2-imidazolidinylidene]dichloro(benzylidene) (tricyclohexylphosphine)ruthenium(ii) (Aldrich ) 100 MG [1,3-Bis(2,4,6-trimethylphenyl)-2-imidazolidinylidene]dichloro(benzylidene)bis(3- bromopyridine)ruthenium(ii) (Aldrich ) 100 MG [1,3-Bis(2,4,6-trimethylphenyl)-2-imidazolidinylidene]dichloro(3-methyl-2- butenylidene) (tricyclohexylphosphine)ruthenium(ii) (Aldrich ) 100 MG [1,3-Bis(2-methylphenyl)-2-imidazolidinylidene]dichloro(2- isopropoxyphenylmethylene)ruthenium(ii) (Aldrich ) 100 MG [1,3-Bis(2,4,6-trimethylphenyl)-2-imidazolidinylidene]dichloro[3-(2-pyridinyl-κ ) propylidene-κ C ]ruthenium(ii) (Aldrich ) 100 MG KT 1 kit 133,800 sigma-aldrich.com/japan [1,3-Bis(2-methylphenyl)-2-imidazolidinylidene]dichloro- (2-isopropoxyphenylmethylene)ruthenium(II) C FW C3 Tel: Fax: C 3 6,921,735 sigma-aldrich.com/materialicense MG 100 mg 11, MG 500 mg 44, G 2 g 135,500 3C C3 [email protected]
11 11 Dichloro(tricyclohexylphosphine)[(tricyclohexylphosphoranyl)- methylidene]ruthenium tetrafluoroborate, 95% C B 2 F 4 2 FW BF4 - [1,3-Bis(2,4,6-trimethylphenyl)-2-imidazolidinylidene]dichloro- [(tricyclohexylphosphoranyl)methylidene]ruthenium tetrafluoroborate, 95% [ ] C 40 60B 2F4 2 FW C C3 3C C 3 C3 3C F F B F F UTI artnership 7,354,140 Materia sigma-aldrich.com/materialicense [email protected] Materia info@ materia-inc.com MG 100 mg 6, MG 500 mg 26, G 2 g 79,000 UTI artnership 7,354,140 Materia sigma-aldrich.com/materialicense [email protected] Materia info@ materia-inc.com MG 100 mg 11, MG 500 mg 43, G 2 g 130,000 Catalysts TurboGrignards for al/mg Exchange of Aryl and eteroaryl Compounds Knochel-auser-Base for Selective Deprotonations FG Mg Li = Mg Li (TurboGrignard) FG = alkyl, alkenyl, ', C 2 ', C, 2, halogen C 3 3 C Mg Li FG Mg Li Mg Li 3 C 3 C C 3 C 3 Mg Li TF Sold in partnership with Selective 1,2-Additions La 3 /Li TF For more information, visit sigma-aldrich.com/metalations sigma-aldrich.com Tel: Fax: [email protected]
12 Chem roduct Central Substructure Search Building Blocks rganic Building Blocks eterocyclic Building Blocks Amino Acid Derivatives Unnatural Amino Acid Derivatives Monosaccharides ucleosides Chiral Building Blocks rganometallic eagents Boronic Acids and Derivatives Grignard eagents ieke and rganozinc eagents rganolithium rganosilicon rganotin rganoaluminum thers Synthetic eagents Coupling Lewis Acids C-C Bond Formation rganic Acids C-X Bond Formation (alogen) Inorganic Acids C-X Bond Formation (onhalogen) osphazene Bases rganic Bases xidation Inorganic Bases eduction Inorganic Salts rotection and Derivatization Dehydrating eagents adical Chemistry Compressed and ase Transfer Catalysts Liquified Gases Chelation/Complexation Compounds Asymmetric Synthesis Chiral Catalysts, Ligands, and eagents Chiral Auxiliaries Chiral Building Blocks Chiral esolution eagents Ionic Liquids Ammonium Choline Imidazolium osphonium yrazolium yridinium yrrolidinium Sulfonium Specialty Synthesis igh Throughput Synthesis Chemical Ligation eptide Synthesis Carbohydrate Synthesis ligonucleotide Synthesis Enzyme-Mediated Synthesis Fluorous Synthesis Supported Synthesis
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substrate control reagent control Tf Tf amine H n-u Tf Et 3 3 n-u Tf Et syn Tf anti n Tf, Amine (1.3eq) (1.5eq) CH Cl, -78 C n n Z E CH -78 C, 1h; 0 C, 1h n H Triflate Et Tf n-u Tf c-pen Tf Tf Amine Yield
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99% yield, 96% ee (S/C = 1000) 89% yield, 99% ee (S/C = 300) >99% yield, 97% ee () X 78% yield, 95% ee () (S,S)-u cat X = C, 3, 2 = H, CH 3, F 67-100% yield, 92-98% ee (S/C = 100-1000) 100% yield dl:meso
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Activation and Control of Electron-Transfer Reactions by Noncovalent Bond
2 + 4e- + 4 + hν 2 2 1 2 20 J. Am. Chem. oc. Angew. Chem. Int. Ed. umber of Papers 15 10 5 0 1998 1999 2000 2001 2002 2003 Year : J. Am. Chem. oc. (Trost, B. M.; tanford University, UA) 3 π 1/2 k ET =
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1/68 A. 電気所 ( 発電所, 変電所, 配電塔 ) における変圧器の空き容量一覧 平成 31 年 3 月 6 日現在 < 留意事項 > (1) 空容量は目安であり 系統接続の前には 接続検討のお申込みによる詳細検討が必要となります その結果 空容量が変更となる場合があります (2) 特に記載
1/68 A. 電気所 ( 発電所, 変電所, 配電塔 ) における変圧器の空き容量一覧 平成 31 年 3 月 6 日現在 < 留意事項 > (1) 空容量は目安であり 系統接続の前には 接続検討のお申込みによる詳細検討が必要となります その結果 空容量が変更となる場合があります (2) 特に記載のない限り 熱容量を考慮した空き容量を記載しております その他の要因 ( 電圧や系統安定度など ) で連系制約が発生する場合があります
42 3 u = (37) MeV/c 2 (3.4) [1] u amu m p m n [1] m H [2] m p = (4) MeV/c 2 = (13) u m n = (4) MeV/c 2 =
3 3.1 3.1.1 kg m s J = kg m 2 s 2 MeV MeV [1] 1MeV=1 6 ev = 1.62 176 462 (63) 1 13 J (3.1) [1] 1MeV/c 2 =1.782 661 731 (7) 1 3 kg (3.2) c =1 MeV (atomic mass unit) 12 C u = 1 12 M(12 C) (3.3) 41 42 3 u
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DEAD TPP A Et C C Et Et C C Et 2 A A ex. ucleophiles (A) P 3 P 3 1 xygen itrogen Carbon Sulfur C 3 S Ts Tf Scheme 1. TPP DEAD TPP DEAD redox condensation Walden Bz Tf DEAD-TPP 87% Tf Bz Scheme 2. pk a
2 Introduction Dudley 4-2- SES SES-Cl SES- 2 SES 2 Aldrichimica Acta ALDIC WELCMES TE 37T GLM T MILWAUKEE Acta Aldrichimica Acta 40 Aldrichimica Acta
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Radiation Detection & Measurement (1) (2) (3) (4)1 MeV ( ) 10 9 m 10 7 m 10 10 m < 10 18 m X 10 15 m 10 15 m ......... (isotope)...... (isotone)......... (isobar) 1 1 1 0 1 2 1 2 3 99.985% 0.015% ~0% E
a b b c a c Ally anion type Propargyl/allenyl anion type a b c a b c a b c a b c a b c a b c b =,, or C a b c a b c b = Gothelf, K. V.; Jørgensen, K.
1 a b b c a c Ally anion type Propargyl/allenyl anion type a b c a b c a b c a b c a b c a b c b =,, or C a b c a b c b = Gothelf, K. V.; Jørgensen, K. A. Chem. ev. 1998, 98, 863-909 2 itrogen in the middle
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UBE Aromatic SF5 Compounds,
UBE Aromatic S5 Compounds, Contact: [email protected] Molecular Model of Ph UBE の S5 化合物は 多様な S5 化合物を低コストで供給できる画期的な手法で合成されています 現在 下記の S5 化合物の提供が可能です 医薬 農薬 高分子材料 エレクトロニクス材料等 お客様が求める機能材料のビルディングブロックとしてご活用ください
24 I ( ) 1. R 3 (i) C : x 2 + y 2 1 = 0 (ii) C : y = ± 1 x 2 ( 1 x 1) (iii) C : x = cos t, y = sin t (0 t 2π) 1.1. γ : [a, b] R n ; t γ(t) = (x
24 I 1.1.. ( ) 1. R 3 (i) C : x 2 + y 2 1 = 0 (ii) C : y = ± 1 x 2 ( 1 x 1) (iii) C : x = cos t, y = sin t (0 t 2π) 1.1. γ : [a, b] R n ; t γ(t) = (x 1 (t), x 2 (t),, x n (t)) ( ) ( ), γ : (i) x 1 (t),
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http://www.tagen.tohoku.ac.jp/labo/muramatsu/mura/main.html E-mail: [email protected] 1 2 3 1m 10cm 1cm 1mm 100 m 10 m 1 m 100nm 10nm 1nm 1 100 m 10 m 1 m 1nm 100nm 10nm 4 5 6 7 1m 10cm 1cm 1mm 100
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寄稿論文 多環状エーテル系天然物の合成戦略 | 東京化成工業
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様式 C-19 科学研究費補助金研究成果報告書 平成 23 年 4 月 20 日現在 機関番号 :17401 研究種目 : 基盤研究 (C) 研究期間 :2008~2010 課題番号 :20590007 研究課題名 ( 和文 ) 協奏的反応機構に基づく有機触媒結合形成反応の開発 研究課題名 ( 英文 )Development of rganocatalyzed Bond-forming eactions
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技術資料 Cl Ti Cl 日亜化学工業株式会社 目 次. 特徴 2. 製品の案内 3. 各種溶剤に対する溶解度 4. 水に対する溶解度と p の関係 5. 安定性 6. 分解機構 7. 用途 ( 例 ) 8. 有機合成反応 ( 例 ) 9. 保存 取り扱い方法について. 特徴 () 不飽和化合物への作用性が高く 緩和な条件下において高活性な均一系水素添加触媒として効果を発揮します (2) シクロペンタジエン環の効果から立体規則性が向上します
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I- 12-1 11 11.1 2Mg(s) + O 2 (g) 2MgO(s) [Mg 2+ O 2 ] Zn(s) + Cu 2+ (aq) Zn 2+ (aq) + Cu(s) - 2Mg(s) 2Mg 2+ (s) + 4e +) O 2 (g) + 4e 2O 2 (s) 2Mg(s) + O 2 (g) 2MgO(s) Zn(s) Zn 2+ (aq) + 2e +) Cu 2+ (aq)
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1/3 A. 電気所 ( 発電所, 変電所, 配電塔 ) における変圧器の空き容量 覧 < 留意事項 > (1) 空容量は 安であり 系統接続の前には 接続検討のお申込みによる詳細検討が必要となります その結果 空容量が変更となる場合があります (2) 熱容量を考慮した空き容量を記載しております その他の要因 ( や系統安定度など ) で連系制約が発 する場合があります (3) 表 は 既に空容量がないため
2/8 一次二次当該 42 AX 変圧器 なし 43 AY 変圧器 なし 44 BA 変圧器 なし 45 BB 変圧器 なし 46 BC 変圧器 なし
1/8 A. 電気所 ( 発電所, 変電所, 配電塔 ) における変圧器の空き容量一覧 < 留意事項 > (1) 空容量は目安であり 系統接続の前には 接続検討のお申込みによる詳細検討が必要となります その結果 空容量が変更となる場合があります (2) 特に記載のない限り 熱容量を考慮した空き容量を記載しております その他の要因 ( や系統安定度など ) で連系制約が発生する場合があります (3)
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1 Abstract 2 3 n a ax 2 + bx + c = 0 (a 0) (1) ( x + b ) 2 = b2 4ac 2a 4a 2 D = b 2 4ac > 0 (1) 2 D = 0 D < 0 x + b 2a = ± b2 4ac 2a b ± b 2
1 Abstract n 1 1.1 a ax + bx + c = 0 (a 0) (1) ( x + b ) = b 4ac a 4a D = b 4ac > 0 (1) D = 0 D < 0 x + b a = ± b 4ac a b ± b 4ac a b a b ± 4ac b i a D (1) ax + bx + c D 0 () () (015 8 1 ) 1. D = b 4ac
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