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ΉR☛⒔a q ⒔Y t ( y ), v ( y )Nordheim ⎆⎆ r ₛͅ₪̯̓a^ J _⒔a`⒢ ⒔⑆⎆ F ⒅R⒔⒢ ( F = E ) ⒅R⒔⒢ ( E = V/d ) E d ⒔Ῡ̯͂̓₰ - ₕ̯̈́₰̰a V XY⒔X ₶ₚ͆ͅₛ̯̈́͆͂ E ₛ̯̈́͆͂ E ]Ya D ( E ) Z[Y⒢ T ͆ͅ₫ͅ⃉\⎆ k ⒔RZa m ⒔⒔YῩ⒔Y⏎a̰ e λλλλ

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(1)

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CNT

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)!K-LM!NCNTO1991PQRS TUVWQ,!X<Y(ZZ:[\]^

)!K-LM!NMWMT_`abca defgh[1-1]iFig. 1-1UjTEMkHlmZi noCNTpDO5q7nmQrfOs1µm_ tufgavwiCNTxyznpD{ff _,|}X~1€fOQ‚ƒ„`h…

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2. CNT

1991PMWMTdeUöµQ1993PQ÷^)

!K-LM!NSWMTxdefgh[2- 1]iCNTOQjDxK-ø!A!ù¥ú‚ûü yýþU‚ÍWQ`[yQ€µ4,|}X

~lz҂4ÃQïZwV”UQ

3Uy6‚Q 3Uy‚ÍwhcQ’

‚¶ˆy`avwiSWMTè{D0.4 nm[ \MWNT s100nmŠ ‚ ‚ Í w xQèOQMWNTycQDyçU4

‹aµavwi‚ïðwV”UQ…4š›

™x°±fgQž‚OQ,|}X~107UÖ ZwCNTyš›fgavwiŠhQCNT

¶ˆQ¶U˜3¶ˆOCNTœíUVW

`QËhy_`aÁwòóxÍ wi

2.1. CNTœœíœœííí

CNTOQŸ"¥~1^ !Þ"#

@~$!X‚nglŸ"#_v”l%

chlzi%ch&!Þ"_'š

f(w[UV‹aQ)*+,l‹hCNT l-wn_xç‚ÍwijO)¥Ÿ.

/¢ _01 gw +, UV‹ a 2fg av wijgOFig. 2-1Uym`aÍwV”UQCNT 345o6A)¥Ÿ7X~(Ch) lQàá Fig. 1-1 The observation by TEM of multi-wall

coaxial nanotubes with various inner and outer diameters, di and do, and numbers of cylindrical shells N reported by Iijima in 1991: (a) N=5, do=67Å; (b) N=2, do=55Å; and (c) N=7, di=23Å, do=65Å [1-8].

(3)

"7X~a1Qa2¨89šUa

Ch:na1;ma2:(n,m)

_`Q<̂OQ(5,5) ­_ZiŠhQ

<θ O=Ÿ>_?ÛgQ@V”UAB fgwi

θ= +

+ +



 arccos 2 

2 2 2

n m n nm m

(

0° ≤ ≤ °θ 30

)

4·Qnn‚θCDOQ!Þ"Eˆl F`h9G‚Íwi

n)¥Ÿ7X~vxQ¶USWMT

˜3ˆUvlyh\ZiHIOJKU

ïðwxQË34<lFig. 2-2UmZi

2.2. CNTšš›šš›Þ››ÞÞޙ™™™ L,!X<™

1985PU·w"Ÿ!¤de[\6PQ èbCNTOQRSTx,!X<™UVW"

Ÿ!¤š›ÓMl`avwoUQŸ"

¥~NY(‘OP:[\defghij CNTOMWNT‚Í‹hièbSWNTyQR STlUWnV‚W9f(hŸ"¥~Xl Y(U¬vwn_‚-›fghiž‚O€˜

',!X<™yÂdfgavwinޙOQ Z[x\4Ã]†vCNTš›Ußvav wi,!X<™U^¬fgw—_34`al Fig. 2-3UmZi

b¤!c!de™

¤!c!de™OQFig. 2-4UmZV”4›

l¬vaQŸ"¥~A!f@~UQRST lghwn_‚Q]†vSWNTli›f(w n_x‚µwޙ‚ÍwxQjOkÃQl O\4vi

m ˜‰›r™CVD™

Fig. 2-5UÍwV”UQn.op4&l=q.

,ë|_`a¬vQ,r!Î,sL¤­

tšlQ500°Cq1000°C‚Q

Fig. 2-2 Structures of CNT (SWNT). [2-2]

‾ῑa1

‾ῑa2

Fig. 2-1 Graphene. [2-1]

(4)

RSTÐu_'Sf(wn_‚QCNTx›r Z w i n g l ˜ ‰ › r ™(chemical vapor

deposition)_?”inޙ:UOQNvw

xUVw…Uyi`hޙxÍWQSWNT

yMWNTyNç‚Íwi`[yQ€ iz Ußvavwޙ‚ÍWQ{—‚€5Pà|

‘UN‚µwi

Fig. 2-3 Schematic of arc discharge method. [2-3]

Fig. 2-4 Schematic of laser assisted vapor deposition method. [2-3]

(5)

2.3. SWNT÷÷÷÷^^)^^)!))!!!KKKK--L--LMLLM!MM!!!NNNN Fig. 2-6QFig. 2-7USWNTTEMkH}lmZi

~OQD0.4nmSWNTx+€U4

‹avwy‚Íwi

SWNT3àᶈOÓM3Uy3U yVÂð\gavwi@Uƒ„`avÃi LpD_rf

è{pD0.4nm[\Q3UO‘éO4vO …‚ÍwxQÓM3UO0.4nmq1.4nm†Uj pDx9:`avw_?Ûgavw[2-6]i—

ÞQjrfOQ\4Ã_y100q200nmQ‡þ O1µmˆ‚ÍWQ(ü4̂OQ10mmUŠ‚

ÖZwi b?

‡þQSWNTOLá÷‰LM!N_`a-

›fg…QŠ_V&x€U4‹aš›fgwi jgl+QŠhOQ‹!£_E`avwi j+#y?_`a1.3q1.5g/cm3

ˆŒlmZ[2-7]i4·Q+ôU·

wSWNT./0O0.33nm_fgavwi Fig. 2-5 Schematic of chemical vapor deposition method. [2-3]

Fig. 2-6 TEM images of SWNTs grown by CVD. [2-4]

(6)

m36

3UꋎW6O100GPa‘Q

OTPaQÓM‚yꋎW6O10GPaQ

O1TPaŒx\gavw[2-8, 11]iJIS Ua‘fgavw’޾’O1GPa‘ê‹

ŽW6QWµ“g`h|/¤|”’¾’U

O2GPa‘ꋎW6lӝ`avwy

yÍwxQSWNT?x’1/7ˆ‚Íwn _lÁw_QSWNTŒO•Ç3‚Íwin

¯¬_`aQSWNTl5%ˆg“`h)!

"¥!x-›fgQj9GQ90%yꋎ

W6x–&`Q900MPaŒxtufgavw [2-10]i`[`QSWNT36OÞ™

_—Z[4&UVw1\zµx€µÃQ˜

Ò¶i›vw™‚Œ‚ÍWQ—_

`hŒ‚O4vi

š›3ˆ

QR‚OxŠ_V&Zða›lœ`

avwxQSWNTžšQjgO"Ÿ-‚Íw [2-11]iFig. 2-8UQӍfgh _SWNT›¡

¢£¤ˆlmZi—_UQR›¡¢

OQŠ¥10K»Ua而lm`Qjg

¦‘§U¨v©Uª\ZwiFig. 2-8(a) : ‚OQ20K«‚4000W/m¬K‘而

l m ` Q þ † ‚ O Š ¥ — Œ _ 4 W Q 400W/m¬Kˆ‚Íwi›¡¢xª\Zw­

OQQR:‚›>œl®”xQ‘§

Uzg–&`h"Ÿ-UVW¯°fgw x–&Zw[\‚ÍWQ±­²{±­³

ˆª\l*´Zwi`[`Qþ‚OQ"Ÿ

-UVw›>œµÀx&ۋaŠ¥—

›¡¢_4wi—ÞQSWNT›¡¢OQ Fig. 2-8(b)Um`hV”UQ‘§U¨v»

‚O÷‚U–&ZwiӍfgh耛¡¢

OQ1800q5900W/m¬K_¶xÍWQAB·$

Fig. 2-7 TEM image of SWNT bundle. [2-5].

Fig. 2-8 Temperature dependence of thermal conductivity for copper (a) [2-12] and SWNT (b) [2-13].

(a)

(b)

(7)

M¤!·¸—Ì‚OQþ†‚6600W/m¬

K [2-11]_QŸ"¥~5ô饏º+9

»›¡¢¼Œlm`avwi

½˜3ˆ

SWNT˜3ˆOQUVWvxÍ wi,!pL#,¾Ch=(n,n)OQR3‚ÍWQ

¿c¾Ch=(n,0)OC¢í3‚ÍwiÀ

—_34 Ch=(n,m) yOQ)¥Ÿ¾ _?ÛgQn-mx3¼_µOQR3‚ÍWQ ÀOC¢í3‚ÍwiC¢í3CNT

! q@£€µfOCNTCDUÁÌZw n_yƒ„`avwi

ŠhQ¡¢x¯°Zwn_4ܝfg w.|/¢@X¡¢ˆxQQR3SWNTÂà MWNT‰¶4ˆ_`a3Učfga vwi

2.4. MWNT]]]]^^^^))!))!!!KKKK----LLMLLM!MM!N!!NNN Fig. 2-9UMWNTTEMkH}lmZingOû üÅÆavwCaped MWNTǾ34kH‚Í wi

MWNT‚O^./0O0.34nm_Ӎfgav aQn/0‚O"¡$!|¾`[È [4vhcQ^.‰É-¬O(ca{fv_

ÄÊfgwiŒ‹aQèb˗Ì_`aO èÍ^SWNTxj˜3Λ3ˆl Ïcavw_ÁaVvxQj{f4‰É-

¬‚Í‹ayèÍ^SWNT+Uۅ [4x\ÐÑ`avw_y?Ûgavw[2-15]i

`[`QÉ_nÒQMWNTUzvaOQSWNT

Š&„4UVw¶ˆvlÓk‚µa v4vi

LpD_rf

N f ga v w Š _ V & MWNT p D O

20nmq100nmCDUÍwxQj­Uzv

aOŠÒԄ‚ÍwiŠhQMWNTrfOQ

‡þO3q5µmQè‚O1mmŠ‚Ö`avwÌ ytufgavw[2-16]i,|}X~OQSWMT _ÕU100‘ŒlÖ÷U֛`Q105

fÁ\gavwi b36

MWNTꋎW6OQèÍ^‚11GPaq 63GPaQO270GPaq930GPaŒx\

gavw[2-17]inŒOSWNT_Š_V&ÕÆ

‚Íwi m›3ˆ

Fig. 2-10UQMWNT›¡¢ÓÌlmZ [2-18]iMWNT›¡¢ySWNT_ÕU

‘§Uzg–&Zw×ßUÍwxQ’vU 4w_OŠ‹hÃÇ4wipD14nmMWNT

‚O320K‚而3000W/m¬Klm`Qjª

\ZwiŠhMWNT+žšQpD80nm

‚ O Õ U a1500W/m¬KQ p D200nm‚ O 300W/m¬K_›¡¢O€µÃª\`avwij gO]^LM!N.‰É-¬V”4"Ÿ-

¯°UÙwy_؍fgavw[2-18]i

š˜3ˆ

مMWNT˜ÚÛO—UV‹a€µ 4xÍwn_xƒ„`avw[2-19]inn_

[\QR3ÂÃC¢í34MWNTxÓÜU¤ž

Zwn_xÛ[wi`[`QXŠhO

+_`aMWNTlݔoQjˆOÒvh vCQR3U4‹avw_?Ûgavw[2-20]

xQj˜3ˆx„U4‹avw_OŠ

Ò?Á4vi

Fig. 2-9 TEM images of MWNT. [2-14]

(8)

3.

3.1. 5555<<=<<===

QRY(5[\x<=fgwžšQj n‚56_5U£¤`aQ<

=xÛwiFig. 3-1(a)OQx’ÃQ [zQ56x»vžš<=l`Q

‘[\ÞU›<=Q·¸@~=!<=Qß

Ž · ¸ @ ~ = ! < = (Exteneded Schottkey

Emission) _01gwiY(x»ÃQ5

56x’Ã4w_QlÅÆncavw 5à/·qáâx»ÃQãÃ4whcQ

~äxåµaQ<=OQFig. 3- 1(b)UmZV”U4WQvÛæwQ5<=

_4wiFig. 3-1(c)OQFGEl5eV_ç`h oQY(_56U£¤`h<=

èévlmZi

›<=Q·¸@~=!<=Qߎ·¸@

~=!<=UVw>?JTEQJsQJESOQjg êgJë‚fgwi[3-2]

J me

h kT

TE =4 3

( )

kT

π 2 φ

exp (3-1)

ngO8ìQRichardson-Dushmanë‚Íwi

J J e F

s= TEkT

 



exp

3

4 0

/ πε

(3-2) nË2KO·¸@~=!;_0íi

J J q

ES = s q π

( )

π

sin (3-3)

nn‚Q

q m

eF

= h

(

kT

)

π

πε

4 0 3 1 4

(3-4)

`[`Qߎ·¸@~=!¾<=U·v aQyîï@xWQŠhQ56yîï

‘xw_Qj<=>?OJ낝fg wi

JES =JFN πρ

( )

πρ

sin (3-5)

Fig. 2-10 Temperature dependence of thermal conductivity for MWNT.

Fig. 3-1 (a) Electron emission at high temperature and low applied field, (b) Electron emission at low temperature and high applied field (field emission), (c) Emission regimes as a function of temperature and field for an emitter with φφφφ =5eV [3-1].

(9)

nn‚QË2KO·¸@~=!;‚ÍWQ

ρ φ

=kT t y

( )

m

e F

2

0 2

h (3-6)

(3-5)ëJFNxQJUïðwFowler-Nordheim UVw<=>?_4wi

3.2. Fowler-Nordheim

Fig. 3-1(b)Um`hUQY(5U·wXÞ ß56xýþU’Ã4w_5à/·

qáâô‚~.xånwxQn gUVw<=>?OJë‚ÀÁ\gwi

j=e n E D E F dE

0

( ) (

x x,

)

x (3-7)

nn‚Qn(Ex)OQEx_Ex+dEx. !l

‹hQRô±­x5à/·qá âU÷ð5PQ÷ðo.UñòZwó‚ÍWQ

ŠhQD(Ex, F)OQÍwôõ !ExQ Íw56FU·w~.áâ

‚ÍwiÉQn(Ex)OQFermi-DiracöA VWJë‚ÀÁ\gwi

n E mk T E E

x B xkT f

( )

=  +

 



2 2 3 1 1

π h ln exp - (3-8)

Š h QD(Ex, F)O Q C ÷ Ç Ì _ ` a QWKB (Wentzel-Kramers-Brillouin )™l¬vaQ

D E F m

he E

F v y

x

, x

( )

=

( )

 



( )

exp 8 2 3

1 2 3 2

π (3-9)

_Zn_x‚µwi`hx‹aQ’56

‚iÆh~.UVw<=>?

OQ

j e F ht y

m

he F v y

=

( )

( )

 



3 2 2

2 3

8

8 2 π φ 3

π φ

exp (3-10)

nn‚Qv(y)_t(y)OQ y=

( )

e F3 1 2 φ‚fg

wNordheimE‚QÑ}¾lF`hø

J™ùú;‚ÍwxQŠ_V&žšQ1‚ Íwi(3-10)ë8UVWQ

ln J F2 F

 1

 

 ∝ (3-11)

x\gwi783456FOQÀÁ\gh 5 6 (Ea = V/d) _ 5 9 : ; field enhancement factorβl¬vaQ F = βEa_f gwi(3-11)ëE;lYûÎXû_`a£‹@~

`hyxF-N£‹@~_EfgQngxp¨l mZ4\1Qj>OQ5<=U åÙ`hy‚Íw_ƒü`a†vi(3-10)ë[

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4.

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500µm‚Q20µmô‚µwV”U

4‹avwi¦|X.!'O‡þ+300V‚

Íwi—_34`aUOQ¦|X.!

x4vxQnn‚OQ€>ôoUY(U [w!pl ªZw3_<=Y (5ôU·w{—ˆlZw3‚af gavwiY(OQ€>—Mo›ˆ_ë

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^¬`QÕoUtl³‹avwiŠhQ¦

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”UQ¦‚4ÃQ¦sŸ$@Xl^¬

`avwi—MOèy44p>öô

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| @A.Qj`aQ¥Îˆë

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(10)

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+! !, ! ! , , ,- - - - . . . ./ / / /

CNT©U·vaQ€>_r¸¹Ö›U ýó4-›./_ìí3ޙlQ@Q7zUï 0`aïðwiTable 5.1UjŠ_clmZin g\&g[xZw_Q(é>?l

\g4vn_U4wiÌÁ1Q$@A!F GEl@1w2l`ayQ7!|'¾Îõ

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‚µ4viŠhQjgêgKOÉvU.

X`avwiÌÁ1Q53_63lӝZw hcÓÜ£‹s|OQÌÁ1QÍw4›

2l³”Û‚Q¶Žl^¬Zw_1ó

›2‚j5Þ6lӝ‚µwi

4·QCNT©ýó46_`a€>

_r¸¹ÍUQ»$@A|xÍwi»

$@A|lӝZwhcUOQQR3ˆl mZCNTÄNQ<=5PÐ{QCNTY(

»õ-4&x74Þ

™_4ҔihÒ`Q1á CNT[ \ <=

!ï8Î

$@A|UEZwtu OÍwxQ&ª«¬

© _` a X CNT9 á34$@A|

OŠÒ:ø‚ÍWQ nn‚Ong‘?Â`

4vi

33.3 K

Fig. 4-1 Experimental setup for CNT field emitter.

Test Chamber TMP

RGA

Fig. 4-2 Overview of experimental setup for CNT field emitter.

(11)

Table 5-1 €€€€>>_>>_r__r¸rr¸¸¸¹¹¹¹Ö֛Ö֛U››UýUUýýýóóóó4444../../_//_ì__ìììíííí3333ÞÞÞޙ™™™

./ ìí3ޙ

1 مCNTU·w59:;

l’cwi

$Q,|}X~Q8; (SW, MW) U·vaQVW†vCNT l<=Zwi

2 مCNT5U·vaÐ234 59:;l’cwi

CNT5Uf\UÐI4l-›Zwi

3 $@A!íU>WQ?ú[z {—456ï8lwi

$@A!íU>wCNT?l³”i ӟúÎë|l^vQCNTl @LZwi ÎCNT›ro‚Q A!`hSTl^”i

Î@Al^¬`aï¯ZwžšQBl³”i

4 $@A!FGEl@1wi FGE»vŽlCNTU†ef(wQÍwvOQr!/

¢Zwi

5 CNT[\à|®›¡¢l’cQ

[zQCNT-à|9š¿M!

d›lZwi

CNTlà|U'šZwÜUQ’›¡¢_’˜¡¢l zŽl^¬Zwi

6 X!‹¾UVwCNT¼Cl Zwi

CNT-à|.39š6l’cwi

7 ¥| @A._Á¯ˆ

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(a) (b)

Fig. 5-1 SEM images of MWNTs (a) and SWNTs (b).

SWNTs: Courtesy of Dr. Kenji Hata, Research Center for Advanced Carbon Materials, AIST.

(13)

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(a)

(b)

Fig. 5-2 TEM images of MWNT before impreg- nated with nano-sized RuO2 particles (a) and after the impregnation (b).

Fig. 5-3 SEM image of one MWNT with RuO2

clusters and EDX spectra at two spots.

(14)

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Fig. 5-4 The center FEM image showing strong electron emission from sub-nano sized RuO2 clusters at a MWNT surface.

Fig. 5-5 TEM image of (a) a bundle of CNTs with several ZnO particles attached to it after the annealing process, (b) a large ZnO particle annealed to the sidewall of the nanotube causing the deformation of the tube, and (c) a HRTEM image showing the lattice fringes of the ZnO particle of polyhedral shape. [5-1]

(15)

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ÕoU?ZwŠ”xjx†vi Fig. 5-6 Effect of RuO2 impregnation on the

field emission characteristics.

Fig. 5-7 Low threshold field of emitter with RuO2 impregnation [5-2].

Fig. 5-8 Comparison between two emitters with and without RuO2 impregnation.

(a) (b)

Fig. 5-9 SEM images of oriented MWNT (a) and randomly oriented MWNT(b).

(16)

Fig. 5-10UÍwÖ÷4·$M¤!·¸‚OQ pœ`avw’f1µmCNTpD4nmžšQ 2µm‹@L‚à|UÍg1Qè€59:;

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Fig. 5-10 Simulation of the equipotential lines of the electrostatic field for tubes of 1 µµµµm height and 2 nm radius, for distances between tubes of 4, 1, and 0.5 mm; along with the corresponding changes of the field enhancement factor ββββ and emitter density (b), and current density (c) as a function of the distance [5-3].

Fig. 5-11 SEM and TEM images of CNTs. (a) SEM image of as-grown CNTs. (b) TEM image of as-grown CNTs. (c) and (d) SEM image of plasma-treated CNTs The diameter of each CNT covered dot is about 70 µµµµm. (e) TEM image of sandwich-grown CNTs. (f) and (g) TEM image of plasma-treated CNTs [5-4].

(17)

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(a) (b)

Fig. 5-12 An aligned array of carbon nanotubes grown from a uniform catalyst (a), carbon nanotube array grown from a patterned catalyst (b). [5-5]

Fig. 5-13 (a) TEM images for LaB6 tip-modified MWCNT emitter; (b) high magnification image for the emitter’s tip showing that most of LaB6 was deposited on the tip of the MWCNT dark area; (c) EDX spectrum of the emitter’s tip. [5-6]

(18)

5.5. CNT [[[[\\\\££££››¤››¤´¤¤´Q´´QQQ9999šššš‚‚‚‚¿¿¿¿MMMM!!!! d

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Fig. 5-14 Optical microscope images and SEM images of MWNTs on a silicon substrate before and after serious damages during the emission.

(19)

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anode positioned at 2µµµµm distance before (a) and after (b) the destruction of the tube.

[5-7]

(20)

Fig. 5-16 I-E curves [(a) and (c)] of several test cycles just before failure: (a) L=1µµµµm, r=3 nm, (c) L=1µµµµm, r=20 nm. Inset of (a) is the corresponding SEM image of the CNT emitter. (b) and (d) are the corresponding SEM images of the failure sites. [5-8]

Ti CNT

200nm

CNT Ti

400nm 2000nm

CNT

Ti

Fig. 5-17 SEM images of the interfaces between Ti film and CNTs after the rooting process.

Fig. 5-18 Line elemental analysis of Ti and C at the interface between Ti film and CNTs with EDX.

Fig. 5-19 Comparison of MWNT rooted in Ti film with MWNT dispersed by use of acetone.

Ti

C

(21)

10-5 10-4 10-3 10-2 10-1 100 101 102 103

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Fig. 5-20 I-V characteristics of rooted MWNTs with Ti film and Ti particles.

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Fig. 2-3 Schematic of arc discharge method. [2-3]
Fig. 2-6 TEM images of SWNTs grown by CVD. [2-4]
Fig. 2-8 Temperature dependence of thermal conductivity for copper (a) [2-12] and SWNT (b) [2-13].
Fig. 2-9 TEM images of MWNT. [2-14]
+7

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