19
Nathan Woody Arifa Habib Himadri Chakraborty Uwe Thumm Patrick Richard Image-potential States in Carbon Nanotubes

Image-potential States in Carbon Nanotubes

  • Upload
    kimn

  • View
    37

  • Download
    0

Embed Size (px)

DESCRIPTION

Image-potential States in Carbon Nanotubes. PLAN. Introduction Carbon nanotube Image states Time-resolved two photon photoemission Calculation of image potential states Model potential Binding energies for SWNT and MWNT Nanotube bundles Experimental setup Pump-probe optics - PowerPoint PPT Presentation

Citation preview

  • Image-potential States in Carbon Nanotubes

    Nathan WoodyArifa HabibHimadri ChakrabortyUwe ThummPatrick Richard

  • IntroductionCarbon nanotubeImage statesTime-resolved two photon photoemission Calculation of image potential statesModel potentialBinding energies for SWNT and MWNTNanotube bundlesExperimental setupPump-probe opticsElectron SpectrometerNanotube samples

  • Discovery of fullerenes"C-60 - Buckminsterfullerene." H. W. Kroto, J. R. Heath, S. C. Obrien, R. F. Curl and R. E. Smalley.Nature, 318, 162-163 (1985). 1985

  • Multi walled nanotubeSingle walled nanotube

  • Fibers and Fabrics Structural Composites Thermal Materials Biomedical Applications Molecular Electronics Energy Storage Field Emission

  • Tubular Image States In Carbon nanotubesB. E. Granger et al., Phys. Rev. Lett. 89, 135506 ( September 2002)

    Chart1

    -5135.26380711185931.754696875-11067.0185039868

    -3088.30886164955484.240659093-8572.5495207425

    -1868.58772778865085.5235741384-6954.111301927

    -1092.90811364174728.7585274833-5821.6666411249

    -578.30507538564408.2600303768-4986.5651057624

    -227.17996969874119.2740950521-4346.4540647508

    16.78542045653857.8009214848-3841.0155010283

    188.04659984743620.4557476044-3432.409147757

    308.65571059753404.3587562414-3095.7030456439

    393.23924626383207.0473058364-2813.8080595726

    451.78215171713026.4054575893-2574.6233058722

    491.2638565592860.6070104528-2369.3431538939

    516.65968442282708.0691640226-2191.4094795997

    531.57513873562567.4146021793-2035.8394634437

    538.65950027812437.4402929302-1898.7807926521

    539.88233713832317.0916784668-1777.2093413286

    536.72240922012205.4412168631-1668.718807643

    530.29918750412101.6704566592-1571.3712691551

    521.46595796772005.0549948874-1483.5890369197

    510.87670997321914.9518003858-1404.0750904126

    499.03482567461830.7884866898-1331.7536610152

    486.32894047791752.0541992188-1265.7252587409

    473.05963449451678.2918449737-1205.2322104792

    459.45948866471609.0914433797-1149.631954715

    445.70828454471544.0844171374-1098.3761325927

    431.94461306641482.9386742188-1050.9940611524

    418.27480288011425.3543581495-1007.0795552694

    404.77983073191371.0601647733-966.2803340414

    391.52070060531319.8101408141-928.2894402088

    378.54265252981271.3808935346-892.8382410048

    365.87847093241225.5691522469-859.6906813145

    353.55109592371182.1896318708-828.6385359471

    341.57569192141141.0731565241-799.4974646027

    329.96129161581102.0650075942-772.1037159784

    318.7121060321065.0234661152-746.3113600831

    307.82857089611029.818523763-721.9899528669

    297.3081839106996.3307405393-699.0225566287

    287.1461756285964.4502303712-677.3040547427

    277.3360474562934.0757585152-656.739711059

    267.8700032388905.1139369011-637.2439336623

    258.7392953838877.4785054549-618.7392100711

    249.9345021886851.0896890604-601.1551868718

    241.4457496709825.8736211956-584.4278715247

    233.2628885523801.7618264591-568.4989379068

    225.3756349474778.6907552083-553.315120261

    217.7736816484756.6013643973-538.8276827489

    210.4467855683735.4387394459-524.9919538777

    203.384835845715.1517526132-511.7669167682

    196.5779062614695.6927539026-499.1148476412

    190.0162949473677.0172910056-487.0009960583

    183.6905537839659.0838552083-475.3933014245

    177.5915094777641.8536505448-464.2621410671

    171.7102779166625.2903837994-453.5801058829

    166.0382731184609.3600732326-443.3218001142

    160.567211851594.0308741463-433.4636622953

    155.2891148002579.2729196167-423.9838048165

    150.1963050062565.0581749043-414.861869898

    145.2814041579551.3603042158-406.0789000579

    140.5373272247538.1545486351-397.6172214104

    135.9572758202525.4176141648-389.4603383446

    131.5347306187513.1275689338-381.5928383151

    127.2634430838501.2637487219-374.000305638

    123.1374267237489.8066700419-366.6692433181

    119.1509480424478.7379500964-359.587002054

    115.2985173271468.0402329942-352.7417156671

    111.5748793809457.6971216725-346.1222422916

    107.9750042909447.693115028-339.7181107371

    104.4940782998438.0135498047-333.5194715049

    101.1274948362428.6445468316-327.5170519954

    97.8708457454419.5729612434-321.702115498

    94.7199127515410.7863363487-316.0664235972

    91.6706591752402.2728608449-310.6022016697

    88.7192219214394.0213291048-305.3021071833

    85.8619037497386.0211042843-300.1592005347

    83.0951658308378.2620840268-295.166918196

    80.4156205946370.7346685547-290.3190479601

    77.820024866363.4297309623-285.6097060964

    75.3052732877356.3385895374-281.0333162497

    72.8683920251349.4529819537-276.5845899286

    70.5065327457342.7650411933-272.2585084476

    68.2169668678336.2672730655-268.0503061976

    65.9970800689329.9525352035-263.9554551346

    63.844367046323.8140174292-259.9696503832

    61.7564265188317.8452233836-256.0887968649

    59.7309564665312.0399533328-252.3089968663

    57.765749589306.3922880617-248.6265384727

    55.8586889838300.8965737803-245.0378847965

    54.0077440275295.5474079677-241.5396639402

    52.2109664563290.3396260903-238.128659634

    50.4664866328285.268289131-234.8018024982

    48.7725099935280.328671875-231.5561618815

    47.1273136667275.5162518985-228.3889382318

    45.5292432544270.8266992145-225.29745596

    43.9767097686266.2558665288-222.2791567602

    42.4681867157261.7997800683-219.3315933526

    41.0022073219257.4546309408-216.4524236189

    39.5773618916253.2167669932-213.6394051015

    38.1922952937249.0826851348-210.8903898411

    36.8457045678245.0490240959-208.2033195281

    35.5363366458241.1125575928-205.576220947

    Total

    Centrifugal

    Cylindrical

    Sheet1

    Schlapbach - Electron Emission from Carbon Nanostructures II

    Electron structure of C nanotubesbinding energy ~ 1/n^2

    Nanotube work funklifetime ~ n^3

    Electronic structure of atomically resolved carbon nanotubes(NATURE)

    Max of Wave function ~ l^3

    fromthis

    WorkFunction

    Metallic

    armchair

    WorkFunction4.634.77(n,m)

    Semiconductive

    WorkFunction4.95.5zigzag

    (n,3m)(n,0)

    FIBERSWNT

    Nanoledge - Carbon Nanotubes

    price 60-90 Euros

    Fibers diameter is about 10 to 50 micrometers according setting, and lenght can reach few tenths of centimeters.

    Products-RFP-SWNTs

    $50/100mg200mg

    array1cmx1cm

    Carbon nanotube arrays

    1000$

    powder

    bucky paper nanotechnol

    QUESTIONS1.Where to get electrons - compare to C_602.Study energies of lower states3 Quantum beat spectroscopyPulse intensity and energyhow can you populate l>0 states? - by decay from higher statesdecay mechanisms from the nanotube

    Nanotube workfunction is 3.7 +/- 0.3 eV(MWNT) is 4.9 +/- 0.3 eV

    a

    a

    Schlapbach - Electron Emission from Carbon Nanostructures II

    Electron structure of C nanotubes

    Nanotube work funk

    Electronic structure of atomically resolved carbon nanotubes(NATURE)

    this

    Nanoledge - Carbon Nanotubes

    Products-RFP-SWNTs

    Carbon nanotube arrays

    Sheet2

    l12345678910V(r)Just l=10

    r

    0.8-8168.0406446118-7276.0474571118-6265.1218446118-5135.2638071118-11067.01850398685931.754696875

    0.832-5892.2815294564-5067.5836859838-4132.9261300482-3088.3088616495-8572.54952074255484.240659093

    0.864-4468.7050438894-3703.964656801-2837.2588847674-1868.5877277886-6954.1113019275085.5235741384

    a=22.6-586.5845128963a=0.680.896-3510.6192404752-2799.527732583-1993.6240236385-1092.9081136417-5821.66664112494728.7585274833

    r023.2-41.6748567933-0.217147241r00.80.928-2832.1523089617-2169.2560637922-1417.9736526002-578.3050753856-4986.56510576244408.2600303768

    rmax53.8-22.6436277701-0.2556222186rmax40.96-2333.2749957404-1713.8352821987-1011.8036068515-227.1799696987-4346.45406475084119.2740950521

    rsteps54.4-14.9071657938-0.2851799483rsteps1000.992-1955.624073235-1375.503633914-718.033802683516.7854204565-3841.01550102833857.8009214848

    n=45-11.0264328738-0.31066746731.024-1663.0134816345-1118.5840459046-501.5640187439188.0465998474-3432.4091477573620.4557476044

    log step =0.10.8-0.33380820071.056-1431.9186910899-919.9850435348-339.7935763057308.6557105975-3095.70304564393404.3587562414

    -0.35544046021.088-1246.4541131112-764.1913603538-217.6269072288393.2392462638-2813.80805957263207.0473058364

    r=2.5-0.3760444583l max101.12-1095.5529694564-640.4544044054-124.6760306809451.7821517171-2574.62330587223026.4054575893

    -4.4202646704-0.395925351-0.4342944819lmin71.152-971.3021337478-541.1356660105-53.6136692416491.263856559-2369.34315389392860.6070104528

    result=-36028797018963900-0.4152917725centrf only01.184-867.9170310173-460.68858529960.8369865138516.6596844228-2191.40947959972708.0691640226

    -9007199254740980-9007199254740980-9007199254740980-9007199254740980-0.43429448191.216-781.087966138-395.010582351742.5437859395531.5751387356-2035.83946344372567.4146021793

    n=1234-0.4530473273-0.43429448191.248-707.5505743028-341.01819942674.3851587676538.6595002781-1898.78079265212437.4402929302

    -0.47163948391.28-644.7961150102-296.36127614398.5315412398539.8823371383-1777.20934132862317.0916784668

    -0.4342944819-0.4342944819-0.4342944819-0.4342944819-0.490143020801.312-590.8715963941-259.2263006252116.6383679128536.7224092201-1668.7188076432205.4412168631

    -0.6213349346-0.6213349346-0.6213349346-0.6213349346-0.50861780231.344-544.2390910886-228.1984209143129.9810052833530.2991875041-1571.37126915512101.6704566592

    -0.8305835451-0.8305835451-0.8305835451-0.8305835451-0.527114788701.376-503.674941674-202.1629123676139.5507208463521.4659579677-1483.58903691972005.0549948874

    -1.0913566679-1.0913566679-1.0913566679-1.0913566679-0.5456783341.408-468.196390976-180.2337142262146.1239860902510.8767099732-1404.07509041261914.9518003858

    -1.4426950409-1.4426950409-1.4426950409-1.4426950409-0.56434783081.44-437.0074081217-161.7008687698150.3132091623499.0348256746-1331.75366101521830.7884866898

    -1.957615189-1.957615189-1.957615189-1.957615189-0.58315892041.472-409.4581688971-145.9913720221152.6043311029486.3289404779-1265.72525874091752.0541992188

    -2.8036732521-2.8036732521-2.8036732521-2.8036732521-0.60214440241.504-385.0143915071-132.6396779772153.3849973566473.0596344945-1205.23221047921678.2918449737

    -4.4814201177-4.4814201177-4.4814201177-4.4814201177-0.62133493461.536-363.2338808828-121.2652427806152.9658804019459.4594886647-1149.6319547151609.0914433797

    -9.491221581-9.491221581-9.491221581-9.491221581-1.8862129615-0.64075958281.568-343.7484099315-111.5552644973151.5969669947445.7082845447-1098.37613259271544.0844171374

    -9007199254740990-9007199254740990-9007199254740990-9007199254740990-0.66044626121.6-326.2495963086-103.2512994336149.4801036914431.9446130664-1050.99406115241482.9386742188

    10.492058687310.492058687310.492058687310.4920586873-0.680422093301.632-310.4778012866-96.1388000611146.7787346611418.2748028801-1007.07955526941425.3543581495

    5.48481494775.48481494775.48481494775.4848149477-0.70071371271.664-296.2133362198-90.0388753517143.6255136322404.7798307319-966.28033404141371.0601647733

    3.81149468673.81149468673.81149468673.8114946867-0.721347520401.696-283.2694465778-84.8017562298140.1282928312391.5207006053-928.28944020881319.8101408141

    2.9720134122.9720134122.9720134122.972013412-0.7423499091.728-271.4866764954-80.3015797232136.3748632852378.5426525298-892.83824100481271.3808935346

    2.46630346242.46630346242.46630346242.4663034624-0.76374746201.76-260.7283136751-76.4322005552132.4367276473365.8784709324-859.69068131451225.5691522469

    2.12764314522.12764314522.12764314522.1276431452-0.78556713591.792-250.8766857847-73.1038088117128.3721184245353.5510959237-828.63853594711182.1896318708

    1.8845585361.8845585361.8845585361.884558536-0.80783642961.824-241.8301324668-70.2401841173124.2284240121341.5756919214-799.49746460271141.0731565241

    1.7012975281.7012975281.7012975281.701297528-0.83058354511.856-233.5005167782-67.7764554858120.0441473122329.9612916158-772.10371597841102.0650075942

    1.55798698361.55798698361.55798698361.5579869836-0.85383754361.888-225.8111698765-65.6572651975115.8504934387318.712106032-746.31136008311065.0234661152

    1.44269504091.44269504091.44269504091.4426950409-0.87762849931.92-218.6951856143-63.8352572289111.6726616079307.8285708961-721.98995286691029.818523763

    -1.8862129615-0.90198765421.952-212.0939992223-62.2698277126107.5308999983297.3081839106-699.0225566287996.3307405393

    -0.92694757551.984-205.9561977944-60.9260879641103.4413698435287.1461756285-677.3040547427964.4502303712

    -0.95254231802.016-200.2365208072-59.774000729899.416855358277.3360474562-656.739711059934.0757585152

    -0.97880759452.048-194.8950171317-58.787658199295.4673485909267.8700032388-637.2439336623905.1139369011

    -1.00578095402.08-189.8963314653-57.944676509791.60053244258.7392953838-618.7392100711877.4785054549

    -1.03350197282.112-185.2090982333-57.225686344587.8221804628249.9345021886-601.1551868718851.0896890604

    -1.062012458102.144-180.8054250757-56.613903091484.1364884908241.4457496709-584.4278715247825.8736211956

    -1.09135666792.176-176.6604512915-56.094763102180.5463501791233.2628885523-568.4989379068801.7618264591

    -1.12158154932.208-172.7519692193-55.655615052677.0535863362225.3756349474-553.315120261778.6907552083

    -1.15273699782.24-169.060098645-55.285457382273.6591360489217.7736816484-538.8276827489756.6013643973

    -1.1848761412.272-165.5670060282-54.974714382270.36321615210.4467855683-524.9919538777735.4387394459

    -1.0556294165-1.218055652.304-162.2566617316-54.715044797367.1654543949203.384835845-511.7669167682715.1517526132

    -1.25233608232.336-159.1146295685-54.499177853864.0650007561196.5779062614-499.1148476412695.6927539026

    -1.287782260602.368-156.1278839127-54.320772483361.0606204701190.0162949473-487.0009960583677.0172910056

    -1.32446369262.4-153.2846503828-54.174296216158.1507718394183.6905537839-475.3933014245659.0838552083

    -1.362455037602.432-150.5742667407-54.054920794155.3336712787177.5915094777-464.2621410671641.8536505448

    -1.4018366262.464-147.9870611689-53.958432026152.607347669171.7102779166-453.5801058829625.2903837994

    -1.442695040902.496-145.5142455268-53.881151807749.9696877408166.0382731184-443.3218001142609.3600732326

    -1.48512376782.528-143.1478215471-53.819870547647.4184739184160.567211851-433.4636622953594.0308741463

    -37.070949372-1.5292239263-0.2171472412.56-140.8804982369-53.771788520144.9514158256155.2891148002-423.9838048165579.2729196167

    -1.5751050925-0.25562221862.592-138.705619005-53.73446488442.566176453150.1963050062-414.861869898565.0581749043

    -1.6228862287-0.28517994832.624-136.6170972456-53.705773303440.2603938311145.2814041579-406.0789000579551.3603042158

    -1.0556294165-1.6726967363-0.31066746732.656-134.6093592955-53.683863260238.0316989132140.5373272247-397.6172214104538.1545486351

    -1.7246776503-0.33380820072.688-132.677293828-53.667126284435.877730265135.9572758202-389.4603383446525.4176141648

    -1.77898300110-0.35544046022.72-130.8162068813-53.654166440133.7961460599131.5347306187-381.5928383151513.1275689338

    -1.8357813693-0.37604445832.752-129.0217818266-53.643774531.7846338035127.2634430838-374.000305638501.2637487219

    -1.8952576674-0.39592535102.784-127.2900436736-53.634905321529.8409181443123.1374267237-366.6692433181489.8066700419

    -1.957615189-0.41529177252.816-125.6173271948-53.626658007427.9627670717119.1509480424-359.587002054478.7379500964

    -2.0230779714-0.434294481902.848-124.0002484143-53.618258490426.1479967568115.2985173271-352.7417156671468.0402329942

    -2.0918935319-0.45304732732.88-122.4356790682-53.609044230224.3944752528111.5748793809-346.1222422916457.6971216725

    -2.1643360466-0.47163948392.912-120.9207236934-53.598450756822.7001252379107.9750042909-339.7181107371447.693115028

    -2.24071005892.944-119.452699044-53.585999825221.062925956104.4940782998-333.5194715049438.0135498047

    -2.32135482312.976-118.029115574-53.571288982719.4809144873101.1274948362-327.5170519954428.6445468316

    -2.4066494147-4.30410841113.008-116.647660755-53.553982372617.952186460997.8708457454-321.702115498419.5729612434

    -2.49701876813.04-115.3061840283-53.533802622416.474896304294.7199127515-316.0664235972410.7863363487

    -2.592940847903.072-114.0026832117-53.510523686115.047257109591.6706591752-310.6022016697402.2728608449

    -2.69495520623.104-112.7352922073-53.483964522413.667540187288.7192219214-305.3021071833394.0213291048

    -2.803673252103.136-111.5022698694-53.453983510912.334074362285.8619037497-300.1592005347386.0211042843

    -2.91979064483.168-110.3019899122-53.420473517211.045245063883.0951658308-295.166918196378.2620840268

    -3.04410234313.2-109.1329317491-53.38335753049.799493250980.4156205946-290.3190479601370.7346685547

    -3.17752099793.232-107.9936721674-53.34258480468.595314206577.820024866-285.6097060964363.4297309623

    -3.32109958943.264-106.882877754-53.29812744767.43125623375.3052732877-281.0333162497356.3385895374

    -3.47605949683.296-105.7992979964-53.24997740186.30591927272.8683920251-276.5845899286349.4529819537

    -3.64382558563.328-104.7417589922-53.19814377525.217953470870.5065327457-272.2585084476342.7650411933

    -3.82607044723.36-103.709157707-53.14265047914.166057712568.2169668678-268.0503061976336.2672730655

    -4.02477070413.392-102.7004567268-53.08353413993.148978125465.9970800689-263.9554551346329.9525352035

    -4.24227940163.424-101.7146794591-53.02084225172.165506583363.844367046-259.9696503832323.8140174292

    -4.48142011773.456-100.7509057375-52.95463154451.214479207661.7564265188-256.0887968649317.8452233836

    -4.74561079053.488-99.8082677939-52.88496654090.294774879359.7309564665-252.3089968663312.0399533328

    -5.03902882213.52-98.8859465628-52.8119182829-0.594686232257.765749589-248.6265384727306.3922880617

    -5.36683445383.552-97.9831682874-52.7355632076-1.454944117355.8586889838-245.0378847965300.8965737803

    -5.73547790713.584-97.0992013996-52.6559821563-2.287000347354.0077440275-241.5396639402295.5474079677

    -6.15312938063.616-96.23335365-52.5732595011-3.091819465652.2109664563-238.128659634290.3396260903

    -6.63029333123.648-95.3849694642-52.4874823769-3.870330344550.4664866328-234.8018024982285.268289131

    -7.18070626953.68-94.5534275065-52.3987400065-4.623427506548.7725099935-231.5561618815280.328671875

    -7.82268345263.712-93.7381384318-52.3071231087-5.351972409247.1273136667-228.3889382318275.5162518985

    -8.58120013683.744-92.9385428101-52.2127233793-6.056794691245.5292432544-225.29745596270.8266992145

    -9.4912215813.776-92.1541092085-52.1156330388-6.738693379743.9767097686-222.2791567602266.2558665288

    -10.60325305263.808-91.3843324169-52.0159444368-7.398438059242.4681867157-219.3315933526261.7997800683

    -11.99305233763.84-90.6287318057-51.9137497094-8.036770000241.0022073219-216.4524236189257.4546309408

    -13.77966725873.872-89.8868498041-51.8091404818-8.654403249939.5773618916-213.6394051015253.2167669932

    -16.1615107123.904-89.1582504895-51.7022076121-9.252025684438.1922952937-210.8903898411249.0826851348

    -19.49572574623.936-88.4425182783-51.5930409706-9.830300021936.8457045678-208.2033195281245.0490240959

    -24.49659826163.968-87.7392567099-51.4817292523-10.389864800435.5363366458-205.576220947241.1125575928

    -32.8307951053

    -49.4983164525

    -99.4991624734

    -0.8305835451

    -0.8538375436

    -460.6888118159-0.8776284993-0.217147241

    -0.9019876542-0.2556222186

    -0.9269475755-0.2851799483

    -0.952542318-0.3106674673

    -0.9788075945-0.3338082007

    -1.005780954-0.3554404602

    -1.0335019728-0.3760444583

    -0.395925351

    -0.4152917725

    -23.6114562086-0.4342944819

    -0.4530473273

    -0.4716394839

    -0.4901430208

    -0.5086178023

    -0.5271147887

    -0.545678334

    -1.4024250759-0.56434783080

    -0.5831589204

    -0.60214440240

    -0.6213349346

    -0.64075958280

    -0.217147241-0.6604462612

    -0.2556222186-0.6804220933

    -0.2851799483-0.7007137127

    -0.3106674673-0.7213475204

    -0.3338082007-0.742349909

    -0.3554404602-0.763747462

    -0.3760444583-0.7855671359

    -0.395925351-0.8078364296

    -0.4152917725-0.8305835451

    -0.4342944819-0.8538375436

    -0.4530473273-0.8776284993

    -0.4716394839-0.9019876542

    -0.4901430208-0.9269475755

    -0.5086178023-0.952542318

    -0.5271147887-0.9788075945

    -0.545678334-1.005780954

    -0.5643478308-1.0335019728

    -0.5831589204-1.0620124581

    -0.6021444024-1.0913566679

    -0.6213349346-1.1215815493

    -0.6407595828-1.1527369978

    -0.6604462612-1.184876141

    -0.6804220933-1.21805565

    -0.7007137127-1.2523360823

    -0.7213475204-1.2877822606

    -0.742349909-1.3244636926

    -0.763747462-1.3624550376

    -0.7855671359-1.401836626

    -0.8078364296-1.4426950409

    -0.8305835451-1.4851237678

    -0.8538375436-1.5292239263

    -1.5751050925

    -1.6228862287

    -16.9342596403-1.6726967363

    -1.7246776503

    -1.7789830011

    -1.83578136930

    -1.8952576674

    -0.7579494079-1.957615189

    -2.0230779714

    -2.09189353190

    -2.1643360466

    -2.24071005890

    -0.217147241-2.3213548231

    -0.2556222186-2.4066494147

    -0.2851799483-2.4970187681

    -0.3106674673-2.5929408479

    -0.3338082007-2.6949552062

    -0.3554404602-2.8036732521

    -0.3760444583-2.9197906448

    -0.395925351-3.0441023431

    -0.4152917725-3.1775209979

    -0.4342944819-3.3210995894

    -0.4530473273-3.4760594968

    -0.4716394839-3.6438255856

    -0.4901430208-3.8260704472

    -0.5086178023-4.0247707041

    -0.5271147887-4.2422794016

    -0.545678334-4.4814201177

    -0.5643478308-4.7456107905

    -0.5831589204-5.0390288221

    -0.6021444024-5.3668344538

    -0.6213349346-5.7354779071

    -0.6407595828-6.1531293806

    -0.6604462612-6.6302933312

    -0.6804220933-7.1807062695

    -0.7007137127-7.8226834526

    -0.7213475204-8.5812001368

    -0.742349909-9.491221581

    -10.6032530526

    -11.99305233760

    -12.8926875243-13.7796672587

    -16.161510712

    -19.4957257462

    -0.217147241-24.4965982616

    -32.8307951053

    -49.49831645250

    -99.4991624734

    0

    -0.217147241

    -0.2556222186-460.6888118159-0.217147241

    -0.2851799483-0.2556222186

    -0.3106674673-0.2851799483

    -0.3338082007-0.3106674673

    -0.3554404602-0.3338082007

    -0.3760444583-0.3554404602

    -0.395925351-0.3760444583

    -0.4152917725-0.395925351

    -0.4342944819-0.4152917725

    -0.4530473273-0.4342944819

    -0.4716394839-0.4530473273

    -0.4901430208-0.4716394839

    -0.5086178023-0.4901430208

    -0.5271147887-0.5086178023

    -0.545678334-0.5271147887

    -0.5643478308-0.545678334

    -0.5831589204-0.5643478308

    -0.6021444024-0.5831589204

    -0.6213349346-0.6021444024

    -0.6407595828-0.6213349346

    -0.66044626120-0.6407595828

    -0.6604462612

    -0.6804220933

    -10.0478542888-0.217147241-0.7007137127

    -0.7213475204

    -0.742349909

    -0.217147241-0.763747462

    -0.7855671359

    0-0.8078364296

    -0.8305835451

    -0.85383754360

    -0.8776284993

    -0.9019876542

    -0.9269475755

    -0.952542318

    -0.9788075945

    -1.005780954

    -1.0335019728

    -1.0620124581

    -1.0913566679

    -1.1215815493

    -1.1527369978

    -1.184876141

    -1.21805565

    -1.2523360823

    -1.2877822606

    -1.3244636926

    -1.3624550376

    -1.401836626

    -1.4426950409

    -1.4851237678

    -1.5292239263

    -1.5751050925

    -1.6228862287

    -1.6726967363

    -1.7246776503

    -1.7789830011

    -1.8357813693

    -1.8952576674

    -1.957615189

    -2.0230779714

    -2.0918935319

    -2.1643360466

    -2.2407100589

    -2.3213548231

    -2.4066494147

    -2.4970187681

    -2.5929408479

    -2.6949552062

    -2.8036732521

    -2.9197906448

    -3.0441023431

    -3.1775209979

    -3.3210995894

    -3.4760594968

    -3.6438255856

    -3.8260704472

    -4.0247707041

    -4.2422794016

    -4.4814201177

    -4.7456107905

    -5.0390288221

    -5.3668344538

    -5.7354779071

    -6.1531293806

    -6.6302933312

    -7.1807062695

    -7.8226834526

    -8.5812001368

    -9.491221581

    -10.6032530526

    -11.9930523376

    -13.7796672587

    -16.161510712

    -19.4957257462

    -24.4965982616

    -32.8307951053

    -49.4983164525

    -99.4991624734

    -460.6888118159-0.217147241

    -0.2556222186

    -0.2851799483

    -0.3106674673

    -0.3338082007

    -0.3554404602

    -0.3760444583

    -0.395925351

    -0.4152917725

    -0.4342944819

    -0.4530473273

    -0.4716394839

    -0.4901430208

    -0.5086178023

    -0.5271147887

    -0.545678334

    -0.5643478308

    -0.5831589204

    -0.6021444024

    -0.6213349346

    -0.6407595828

    -0.6604462612

    -0.6804220933

    -0.7007137127

    -0.7213475204

    -0.742349909

    -0.763747462

    -0.7855671359

    -0.8078364296

    -0.8305835451

    -0.8538375436

    -0.8776284993

    -0.9019876542

    -0.9269475755

    -0.952542318

    -0.9788075945

    -1.005780954

    -1.0335019728

    -1.0620124581

    -1.0913566679

    -1.1215815493

    -1.1527369978

    -1.184876141

    -1.21805565

    -1.2523360823

    -1.2877822606

    -1.3244636926

    -1.3624550376

    -1.401836626

    -1.4426950409

    -1.4851237678

    -1.5292239263

    -1.5751050925

    -1.6228862287

    -1.6726967363

    -1.7246776503

    -1.7789830011

    -1.8357813693

    -1.8952576674

    -1.957615189

    -2.0230779714

    -2.0918935319

    -2.1643360466

    -2.2407100589

    -2.3213548231

    -2.4066494147

    -2.4970187681

    -2.5929408479

    -2.6949552062

    -2.8036732521

    -2.9197906448

    -3.0441023431

    -3.1775209979

    -3.3210995894

    -3.4760594968

    -3.6438255856

    -3.8260704472

    -4.0247707041

    -4.2422794016

    -4.4814201177

    -4.7456107905

    -5.0390288221

    -5.3668344538

    -5.7354779071

    -6.1531293806

    -6.6302933312

    -7.1807062695

    -7.8226834526

    -8.5812001368

    -9.491221581

    -10.6032530526

    -11.9930523376

    -13.7796672587

    -16.161510712

    -19.4957257462

    -24.4965982616

    -32.8307951053

    -49.4983164525

    -99.4991624734

    -460.6888118159

    -0.217147241

    -0.2556222186

    -0.2851799483

    -0.3106674673

    -0.3338082007

    -0.3554404602

    -0.3760444583

    -0.395925351

    -0.4152917725

    -0.4342944819

    -0.4530473273

    -0.4716394839

    -0.4901430208

    -0.5086178023

    -0.5271147887

    -0.545678334

    -0.5643478308

    -0.5831589204

    -0.6021444024

    -0.6213349346

    -0.6407595828

    -0.6604462612

    -0.6804220933

    -0.7007137127

    -0.7213475204

    -0.742349909

    -0.763747462

    -0.7855671359

    -0.8078364296

    -0.8305835451

    -0.8538375436

    -0.8776284993

    -0.9019876542

    -0.9269475755

    -0.952542318

    -0.9788075945

    -1.005780954

    -1.0335019728

    -1.0620124581

    -1.0913566679

    -1.1215815493

    -1.1527369978

    -1.184876141

    -1.21805565

    -1.2523360823

    -1.2877822606

    -1.3244636926

    -1.3624550376

    -1.401836626

    -1.4426950409

    -1.4851237678

    -1.5292239263

    -1.5751050925

    -1.6228862287

    -1.6726967363

    -1.7246776503

    -1.7789830011

    -1.8357813693

    -1.8952576674

    -1.957615189

    -2.0230779714

    -2.0918935319

    -2.1643360466

    -2.2407100589

    -2.3213548231

    -2.4066494147

    -2.4970187681

    -2.5929408479

    -2.6949552062

    -2.8036732521

    -2.9197906448

    -3.0441023431

    -3.1775209979

    -3.3210995894

    -3.4760594968

    -3.6438255856

    -99.01000362-0.217147241

    -0.2556222186

    -0.2851799483

    -0.3106674673

    -0.3338082007

    -0.3554404602

    -0.3760444583

    -0.395925351

    -0.4152917725

    -0.4342944819

    -0.4530473273

    -0.4716394839

    -0.4901430208

    -0.5086178023

    -0.5271147887

    -0.545678334

    -0.5643478308

    -0.5831589204

    -0.6021444024

    -0.6213349346

    -0.6407595828

    -0.6604462612

    -0.6804220933

    -0.7007137127

    -0.7213475204

    -0.742349909

    -0.763747462

    -0.7855671359

    -0.8078364296

    -0.8305835451

    -0.8538375436

    -0.8776284993

    -0.9019876542

    -0.9269475755

    -0.952542318

    -0.9788075945

    -1.005780954

    -1.0335019728

    -1.0620124581

    -1.0913566679

    -1.1215815493

    -1.1527369978

    -1.184876141

    -1.21805565

    -1.2523360823

    -31.6944117551-0.217147241

    -0.217147241

    0

    -0.217147241

    -0.2556222186

    -0.2851799483

    -0.3106674673

    -0.3338082007

    -0.3554404602

    -0.3760444583

    -0.395925351

    -0.4152917725

    -0.4342944819

    -0.4530473273

    -0.4716394839

    -0.4901430208

    -0.5086178023

    -0.5271147887

    -0.545678334

    -0.5643478308

    -0.5831589204

    -0.6021444024

    -0.6213349346

    -0.6407595828

    -0.6604462612

    -0.6804220933

    -0.7007137127

    -0.7213475204

    -0.742349909

    -0.763747462

    -0.7855671359

    -0.8078364296

    -0.8305835451

    -0.8538375436

    -0.8776284993

    -0.9019876542

    -0.9269475755

    -0.952542318

    -0.9788075945

    -1.005780954

    -1.0335019728

    -1.0620124581

    -1.0913566679

    -1.1215815493

    -1.1527369978

    -1.184876141

    -1.21805565

    -1.2523360823

    -1.2877822606

    -1.3244636926

    -1.3624550376

    -1.401836626

    -1.4426950409

    -1.4851237678

    -1.5292239263

    -1.5751050925

    -1.6228862287

    -1.6726967363

    -1.7246776503

    -1.7789830011

    -1.8357813693

    -1.8952576674

    -1.957615189

    -2.0230779714

    -2.0918935319

    -59.7059665448-0.217147241

    -0.2556222186

    -0.2851799483

    -0.3106674673

    -0.3338082007

    -0.3554404602

    -0.3760444583

    -0.395925351

    -0.4152917725

    -0.4342944819

    -0.4530473273

    -0.4716394839

    -0.4901430208

    -0.5086178023

    -0.5271147887

    -0.545678334

    -0.5643478308

    -0.5831589204

    -0.6021444024

    -0.6213349346

    -0.6407595828

    -0.6604462612

    -0.6804220933

    -0.7007137127

    -11.4289900948

    0

    0

    -0.217147241

    -0.2556222186

    -0.2851799483

    -0.3106674673

    -0.3338082007

    -0.3554404602

    -0.3760444583

    -0.395925351

    -0.4152917725

    -0.4342944819

    -0.4530473273

    -0.4716394839

    -0.4901430208

    -0.5086178023

    -0.5271147887

    -0.545678334

    -0.5643478308

    -0.5831589204

    -0.6021444024

    -0.6213349346

    -0.6407595828

    -0.6604462612

    -0.6804220933

    -0.7007137127

    -0.7213475204

    -0.742349909

    -0.763747462

    -0.7855671359

    -0.8078364296

    -0.8305835451

    -0.8538375436

    -0.8776284993

    -0.9019876542

    -0.9269475755

    -0.952542318

    -0.9788075945

    -1.005780954

    -1.0335019728

    -1.0620124581

    -1.0913566679

    -1.1215815493

    -1.1527369978

    -1.184876141

    -1.21805565

    -1.2523360823

    -1.2877822606

    -1.3244636926

    -1.3624550376

    -1.401836626

    -1.4426950409

    -1.4851237678

    -1.5292239263

    -41.527992107-0.217147241

    -0.2556222186

    -0.2851799483

    -0.3106674673

    -0.3338082007

    -0.3554404602

    -0.3760444583

    -0.395925351

    -0.4152917725

    -0.4342944819

    -0.4530473273

    -0.4716394839

    -0.4901430208

    -0.5086178023

    -5.3028692341

    0

    0

    -0.217147241

    -0.2556222186

    -0.2851799483

    -0.3106674673

    -0.3338082007

    -0.3554404602

    -0.3760444583

    -0.395925351

    -0.4152917725

    -0.4342944819

    -0.4530473273

    -0.4716394839

    -0.4901430208

    -0.5086178023

    -0.5271147887

    -0.545678334

    -0.5643478308

    -0.5831589204

    -0.6021444024

    -0.6213349346

    -0.6407595828

    -0.6604462612

    -0.6804220933

    -0.7007137127

    -0.7213475204

    -0.742349909

    -0.763747462

    -0.7855671359

    -0.8078364296

    -0.8305835451

    -0.8538375436

    -0.8776284993

    -0.9019876542

    -0.9269475755

    -0.952542318

    -0.9788075945

    -1.005780954

    -1.0335019728

    -1.0620124581

    -1.0913566679

    -1.1215815493

    -1.1527369978

    -1.184876141

    -1.21805565

    -1.2523360823

    -31.6944117551-0.217147241

    -0.2556222186

    -0.2851799483

    -0.3106674673

    -0.3338082007

    -0.3554404602

    -0.3760444583

    -0.395925351

    -0.4152917725

    -2.9451271179

    0

    0

    Sheet2

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    0000

    l=7

    l=10

    l=

    l=9

    Sheet3

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    000

    Total

    Centrifugal

    Cylindrical

    h=6.63E-34

    c=3.00E+08binding energy:

    e=1.60E-19C60

    wavelength=800n=140

    (nm)n=216

    energy=1.55E+00n=33

    n=41

    bandwidth

    intensity1x10^15

    duration20 fs

    focal spot100 microm

    MBD000000D4.unknown

    MBD05241EB9.unknown

    MBD05862F72.unknown

    MBD03762947.unknown

    MBD0523E3DF.unknown

    MBD03130FE8.unknown

    MBD00000044.unknown

    MBD0000008C.unknown

  • Occupied bandsFermi levelVacuum level4.52eVn=1DOSFor (9,9) SWNTProjected pump effectProjected probe effect1.5 eVOur simulation for a SWNT

  • Binding energy of the statePhase of the wave function2-D projection of an electron momentum

  • Low-angular momentum image potential statesTubular image states

  • Model potential

  • SWNTMWNT

  • Nanotube diameter effectsDiameter distribution

    SWNT 0.8-1.4 nm

    MWNT 5-100 nm

  • Tendency of SWNTs to form bundles (ropes)

  • Beam Splitterf = 15 cmf = 17.5 cmCCDDelay stage/23h

  • Backgammon detectorDouble magnetic shielding

  • Bucky paper