image-potential states in carbon nanotubes
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 PresentationTRANSCRIPT
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Image-potential States in Carbon Nanotubes
Nathan WoodyArifa HabibHimadri ChakrabortyUwe ThummPatrick Richard
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IntroductionCarbon nanotubeImage statesTime-resolved two photon photoemission Calculation of image potential statesModel potentialBinding energies for SWNT and MWNTNanotube bundlesExperimental setupPump-probe opticsElectron SpectrometerNanotube samples
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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
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Multi walled nanotubeSingle walled nanotube
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Fibers and Fabrics Structural Composites Thermal Materials Biomedical Applications Molecular Electronics Energy Storage Field Emission
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Tubular Image States In Carbon nanotubesB. E. Granger et al., Phys. Rev. Lett. 89, 135506 ( September 2002)
Chart1
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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
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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