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(1)

Œ

˜

my¢=k+sÇXNË8ý ×ÉSˌŸ¤ÒÅ

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×<0ïÓ · ƒ‘š*å6Ò

é ß

–²DG@<Ɠ§ Óüto<Æõ, …ߖ 330-714 (2003¸ 3Z4 17{9 ~ÃÎ6£§)

ì

ø͕¸^‰ &ñ_ 2Ÿ¤(ç/B\ ›'Ç ³ð‰&³s sp µ1ϳð)aכ [þt˜Ð 8 ”¦ ¼#oÇ +þAIÐ •¸Ø¦÷&

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3. s ³ð‰&³d”Ér X-‚ ìøͺ\"f ìøÍu;Ÿ¤`¦ ½¨ HX< 6£x6 x÷&%3. 8úx 237áx_ ìø͕¸^‰_ 135>h_



r]X_ ìøÍu;Ÿ¤s f¨ÃºÁºr< “¦9_ âĺ\ @/ #Œ ¨î€  ~½ÓZO¼–Ð, Õªo¦ f¨Ãº“¦9_ âĺ\ 2&ñZO, îr +þA-]Xߖ-éߖҐol ~½ÓZO¼–Ð >ߖ÷&%3.

PACS numbers: 61

Keywords: 2Ÿ¤(ç/B, ìø͕¸^‰ &ñ_ ìøÍu;Ÿ¤

I. "e Â]Ø

X-‚ r]X¨\"f ›'a8£¤)a y©œ•¸\¦ [O"î HXH îr 1

l

<Æ&hs:rõ 1lx%i<Æ&h s:rs 6 )a. îr1l<Æ&h s



:Ér, X-‚s :£¤Z>Ç ÂÒx¹™è\ •¸²ú˜  *‹±ú˜ M:  î

ߖ´úH {9¦’<Hz´`¦ ]@ ¦H, rÑ_ yŒ• ÂÒx¹™è–Ð Â

Ò'_ íߖêøÍ`¦ Ér ÂÒx¹™è_ íߖêøÍõ Áº›'Ç כ ܼ–Ð



r. ÕªQ 1lx%i<Æ&h s:Ér &ñ$í {9?/\"f —¸

Ž

H 1lx_ ©œ ñŒ•6 x`¦ “¦9  9 ß¼l H ¢-&ñܼ

–

ÐÂÒ'_ r]X`¦“¦+É MH ƒ]j 6 xKÇ.

¢-

Ç &ñܼ–ÐÂÒ' r]X)aX-‚ y©œ•¸_ yŒ™™è\¦ [O"î

¦ ôÇ þí_ r¸H Darwin(1914)[1]\ _K sÒ#Q

&

’. Õª Êê Darwin_ ]XH~½ÓZO¼–Ð Warren(1969)[2]s X-‚ 1lx%i<Æ s:r`¦ lüt %i. X-‚ 1lx%i<Æ s:r`¦

¨î

€ _ „l<Æ ~½ÓZO¼–Ð ]XÇ Battermanõ Cole(1964)[3]_ 7Hs tFKt ©œ V,o “6 x÷¦ e”



.

s

 ìr_ ƒ¨H Tanner(1976)[4], Schwartzü< Co- hen(1987)[5], Bowenõ Tanner(1998)[6], Als-Nielsenõ Mc Morrow(2001)[7]1px_ $"f\•¸ lüt÷&#Qe”.

X-‚_ f¨Ãº\¦ ÁºrÇ ¢-&ñ_ ìøÍu;Ÿ¤(full width at half maximum, FWHM)“Ér îr1l<Æ&h < 1lx%i<Æ&h



 "Ð {9uÇ[3, 5]. ÕªQ 1lx%i<Æs:r\"f X-

‚

_ f¨Ãº\¦“¦9  {9 X-‚_ y©œ•¸\ @Ç ìøÍ(r ]X

) y©œ•¸_ q\@Ç ³ð‰&³s ²ú˜[3, 4]. "f 

&

ñ_¢-¸ ¨î\ lrs ÷H FWHM“Ér X-‚_ |9|¾Ó

E-mail: o3group@alpha.anseo.dankook.ac.kr

f

¨Ãº\¦“¦Ç {9 X-‚_ y©œ•¸\ @Ç ìøÍ(r]X)y©œ•¸ _ q\¦ ?H /B¼–ÐÂÒ' ½¨K ôÇ.

Loxley, Tannerü< Bowen(1995)[8] 1pxs “¦îߖôÇ îr +þA Ü

¼–Ð ]XߖôÇ 2>h_ &ñܼ–Ð 4r ìøÍ #Œ éߖҐ`¦ %3



H îr +þA éߖҐol (channel-cut-monochrometer, CCM)

\

¦ 6 +É M:, f¨Ãº\¦ ÁºrÇ FWHMõ z´+«úכ s\



H 8 H s \V©œ)a. "f &ñ_ ¢-¸ ¨î

\

 l:rÑ ÷H 2Ÿ¤(ç/B_ FWHM`¦ ½¨½+É M:, ìøÍ

×

¼r X-‚_ |9|¾Óf¨Ãº\¦ “¦9K ôǦ ÒqtyŒ•)a. :£¤ y

 X-‚_ éߖҐoo\¦ Z}sl 0AK þjH\ CCM`¦ V,o



6 x ¦ e”.



"f f¨Ãº\¦Ÿí†<ÊôÇ 2Ÿ¤(ç/B Õªo¦ CCM`¦6 x ô

Ç 2Ÿ¤(ç/B_ FWHMs ¢-&ñ_ óøÍ&ñ\ ×æכ¹ôÇ 

«

Ñ ÷&o b”H. ÕªA"f ĺoH Battermanõ Cole_ BraggìøÍy©œ•¸\ @Ç ³ð‰&³`¦ µ1τr&"f 2&ñZO\ @/ ô

Ç 2Ÿ¤(ç/B CCM`¦6 Ç 2Ÿ¤(ç/B`¦½¨ H d”`¦

•

¸Ø¦ %i. CCM“Ér Si(333)`¦ r]X¼–Ð %i. 0A

\

 ¿º d”`¦ s6 x #Œ 8úx 237áx_ ìø͕¸^‰ yŒ•yŒ•\ @/6£x 



H 6>h_ r]X_ FWHM`¦ >ߖ %i. #Œl"f X-‚

“

Ér CuKα–Ð %i. ĺo_ H ìø͕¸^‰ &ñ_¢-

•

¸ ¨î\¦ 0Ç ×æכ¹ôÇ líÑ ÷&o l@Ç.

II. T Â]Ø



&ñ\ {9Ç X-‚\ @/ #Œ {95Åq_ y©œ•¸\ @/ ô

Ç r]X5Åq_ y©œ•¸_ q(ìøͺ)H

Ehkle Eoi

2

= |b||δ ± (δ2− 1)1/2|2 (1) -283-

(2)

Ü

¼–Ð ³ð‰&³)a.[3, 5] #Œl"f Eio

H &ñ³ð€\ {9Ç X-‚_ y©œ•¸s 9 EehklH (hkl )€\"f r]X`¦ {9¼† X-

‚

 &ñ³ð€`¦*‹±ú˜M:_ y©œ•¸s. bH

b = γohkl (2)

–

Ð &ñ_  9, γoH {9 &ñ³ð€_ ?Ò\¦ †¾Ó H ZO

s ëߖ׼H yŒ••¸\ @Ç ïs¦ γhkl“Ér r]X5Åq õ

 &ñ³ð€_ ?Ò\¦ †¾Ó H ZOs ëߖ׼H yŒ••¸\ @/ ô

Ç ïs. "f @/gA Laue_ âĺH b = 1s¦

@

/gA Bragg_ âĺH b = -1s. ¢¸ôÇ δH

δ = −|b|∆θsin2θ + 12ΓFo(1− b)

Γ|T ||b|1/2(FhklF¯l)1/2 (3)

–

Ð ³ð‰&³)a[3]. #Œl"f θ:BraggyŒ•, ∆θ:{9s BraggyŒ•Ü¼–ÐÂÒ' #Á #ߖ &ñ•¸, Γ:reλ2/(πv) , re:“¦„

„

øÍt2£§(e2/(4πomc2), Fo, Fhklõ F¯l :&ñ½¨›¸“



, T:σ-¼#F g_ âĺ Tσ = 1s¦ π¼#F g_ âĺ Tπ = cos2θs. ¢-&ñ\"f f¨Ãº\¦ Áºr+É Ãº e”`¦ âĺ

\

 d” (3)\ ´H δ = δ0s )a. d” (1)\"f f¨Ãº\¦Áºr

½+

É Ãº e”H¢-&ñ_ Bragg„øÍ\ @Ç δ_ %ò%i`¦

∆δtotal s¦ 

|Ehkle |2/|E0i|2= 1, −1 ≤ δtotal ≤ 1 (4)

¢

¸ôÇ, @/gA Bragg „øÍ(b = -1)\ @Ç Darwin- Prins /B(¢¸H 2Ÿ¤(ç/B)[3]_ „øÍ yŒ••¸;Ÿ¤ ∆δtotal“Ér d”

(3)\"f ∆θ = ±12∆θtotal{9 M:, δ0 =∓1`¦ &h6 Ç.

7

£¤,

∆θtotal(rad) = |T | |Fhkl0 |

sin2θ (5)

s

 )a. d” (5)H ìrr1l:r&h ~½ÓZO¼–Ð ½¨ôÇ <

•

¸ {9uÇ[5].

d”

 (1)\"f |Ehkle |2/|E0i|2 = 1/2{9 M:, yŒ••¸;Ÿ¤s ìøÍu

;

Ÿ¤(full width at half maximum, FWHM)s)a. ìøÍuúכ

\

"f δFWHM`¦ d”(1)–Ð ÂÒ' ½¨  δFWHM =±232 s



. "f ìøÍu;Ÿ¤\ K{©œ H %ò%i ∆δFWHM“Ér

|Ehkle |2/|E0i|2= 1/2, 3 2

2 ≤ δFWHM 3 2

2 (6) s

 )a. d” (4)ü< (6)`¦ q§  ìøÍu;Ÿ¤\ @Ç %ò%i

∆δFWHMs „øÍ\ @Ç %ò%i ∆δtotal_ 3

2

2C s¼

–

Ð, d” (3)õ (5)–ÐÂÒ' ìøÍuúכ\ @Ç yŒ••¸;Ÿ¤“Ér

∆θFWHM= 3 2

2∆θtotal= 3 2 2

|T ||Fhkl0 |

sin2θ (7)

s

]j f¨Ãº\¦“¦Ç @/gA Braggâĺ(b = -1)\¦ ÒqtyŒ•  l

Ð ôÇ.



&ñ½¨›¸“H "éߖêøÍ_ ìߖú&ñ`¦“¦9 

Fhkl = (Fhkl0 )r+ i(Fhkl0 )i+ i[(Fhkl00 )r+ i(Fhkl0 )i] (8) F¯l = (Fhkl0 )r− i(Fhkl0 )i+ i[(Fhkl00 )r− i(Fhkl0 )i]

–

Ð ³ð‰&³)a[5]. "f (FhklF¯l)−1/2=

1

|Fhkl0 |



1− i 1

|Fhkl0 |2

h(Fhkl0 )r(Fhkl00 )r+ (Fhkl0 )i(Fhkl00 )ii

¢

¸ôÇ,

Im(hkl) ≡ 2[(Fhkl0 )r(Fhkl00 )r+ (Fhkl0 )i(Fhkl00 )i],

 = Im(hkl)

2Fo00|Fhkl0 | (9)



¦ Z~ܼ€, d” (9)“Ér

(FhklF¯l)−1/2= 1

|Fhkl0 | (

1 iFo00

|Fhkl0 | )

(10)

s

)a.

d”

 (3)õ (11)–ÐÂÒ'

δ = −∆θsin2θ + Γ(Fo0+ iFo00) Γ|T ||Fhkl0 |

(

1 iFo00

|Fhkl0 | )

(11)

d”

 (12)_ z´ÃºÂÒü< )‡ÃºÂҍH

δ0 = −∆θsin2θ + ΓF00

Γ|T ||Fhkl0 | + ΓF0002

Γ|T ||Fhkl0 |2, (12)

δ00 =−F000

|Fhkl0 | (

δ0 1

|T |

"

1 + F00022

|Fhkl0 |2

#)

(13)

–

Ð ³ð‰&³)a.

d”

 (14)\"f |Fhkl0 |  Fo00

2s¼–Ð

δ00 =−Fo00

|Fhkl0 |

 δ0 1

|T |



(14)

s

)a.

{9

  7˜' {9\ úf”Ç σ¼#F g_ âĺ, d” (15)\ Tσ = 1s. "f

δ00= Fo00

|Fhkl0 |[1− δ0] (15)

(3)

Õ

ªaË> 1. &ñZO\ @Ç >h|Ä̕¸.

Õ

ªaË> 2. CCMZO\ @Ç >h|Ä̕¸.

f

¨Ãº\¦Ÿí†<Ê H âĺ d” (1)“Ér

|Ehkle |2/|E0i|2

=|b|n

0+ iδ00)± (δ02− δ002− 1 + 2iδ0δ00)1/2o2 d”

 (17)\"f

02− δ002− 1 + 2iδ0δ00)≡ Ae (16)



¦ Z~ܼ€

A = [(δ02+ δ002)2− 2(δ02− δ002) + 1]1/2 (17) ü<

φ = tan−1

"

0δ00 δ02− δ002− 1

#

(18)

`

¦ %3H.



"f d” (17)õ (18)`¦ +‹"f {95Åq_ y©œ•¸\ @/ ô

Ç r]X5Åq_ y©œ•¸_ q\¦•¸Ø¦ 

|Ehkle |2/|E0i|2=

|b|n

02+ δ002+ A]± 2A1/20cos(φ/2) + δ00sin(φ/2)]o (19)

)a.

Õ

ªaË> 3. f¨Ãº\¦ ÁºrÇ âĺ\ ¨î€  ~½ÓZO¼–Ð

>

ߖK"f Õª2;¢-&ñ Si(333)€_ 2Ÿ¤(ç/B.

Õ

ªaË> 4. f¨Ãº\¦ “¦Ç âĺ\ ¨î€ ~½ÓZO, 2-



&ñZO Õªo¦ CCMZO¼–Ð >ߖK"f Õª2; ¢-&ñ Si(333)€_ 2Ÿ¤(ç/B(–л¡¤“Ér δ’`¦ θ–Ð 8ŠÙþ¡5pu).

2-&ñZO`¦ 6 x H âĺ(ÕªaË>1 ‚ÃЛ¸) 2Ÿ¤(ç/BÉr 2r ìøÍ #Œ %3#Qt¼–Ð d” (21)_ š¸É#`¦ ]jYL 

#

Œ ôÇ. CCM`¦ 6 x H âĺ(ÕªaË>2 ‚ÃЛ¸) X-‚s CCM\ _ #Œ 4r ìøÍÇ Êê rÑ&ñ\ _ #Œ ìøÍ

÷

¼–Ð, d”(21)“Ér

|Ehkle |2/|E0i|2= n

02+ δ002+ A]± A1/20cos(φ/2) + δ00sin(φ/2)]o4

CCM

× |b|n

02+ δ002+ A]

±A1/20cos(φ/2) + δ00sin(φ/2)]o

Sample

–

Ð ³ð‰&³)a.

III. +sÇÊÝ õmÍ wŠ²o

IV7á¤, III-V x9 II-VI ìø͕¸^‰×æ 237áx_ ìø͕¸^‰_ &ñ

€

 (111), (333), (444), (220), (440), (400)\ @/ #Œ f¨Ãº

(4)

³

ð 1. ìø͕¸^‰ &ñ_ FWHM.

Material (hkl) No Absorption Absorption

plane wave method Plane wave method Double Crystal method CCM method

∆θtotalσ ∆θσF W HM ∆θσF W HM,plane ∆θF W HM,doubleσ ∆θσF W HM,CCM

Si 111 6.89 7.31 7.43 6.84 5.74

333 2.01 2.13 2.17 1.93 1.52

444 6.15 6.52 6.47 5.43 3.90

220 5.21 5.53 5.63 5.14 4.14

440 2.78 2.95 2.99 2.56 1.91

400 3.62 3.84 3.76 3.38 2.64

Ge 111 16.40 17.39 16.61 15.26 12.87

333 4.77 5.06 4.65 4.12 3.30

444 8.15 8.64 7.87 6.88 5.19

220 12.98 13.77 12.96 11.93 9.88

440 6.41 6.80 6.26 5.48 4.28

400 8.51 9.03 8.59 7.82 6.33

AlP 111 6.87 7.29 7.43 6.84 5.71

333 1.98 2.10 2.12 1.88 1.47

444 5.48 5.81 5.70 4.77 3.41

220 5.20 5.52 5.54 5.06 4.07

440 2.72 2.88 2.91 2.48 1.87

400 3.49 3.70 3.71 3.33 2.63

AlAs 111 12.60 13.36 12.89 11.87 9.98

333 3.70 3.92 3.67 3.26 2.59

444 5.86 6.22 5.68 4.95 3.70

220 8.95 9.49 9.13 8.40 6.91

440 4.48 4.75 4.51 3.96 3.06

400 6.01 6.37 6.09 5.54 4.45

AlSb 111 14.93 15.84 14.36 11.33 7.69

333 4.41 4.68 3.91 2.80 1.79

444 6.86 7.28 5.81 3.95 2.41

220 9.97 10.57 9.48 7.34 4.82

440 5.04 5.35 4.89 3.16 1.96

400 6.69 7.10 6.20 4.63 2.96

GaP 111 13.16 13.96 13.36 12.33 10.43

333 3.80 4.03 1.91 1.80 1.74

444 - - - - -

220 9.49 10.07 9.57 8.80 7.16

440 4.85 5.14 4.81 4.17 3.14

400 6.33 6.71 6.31 5.73 4.53

GaAs 111 16.44 17.44 16.61 15.28 12.88

333 4.76 5.05 4.64 4.11 3.28

444 8.48 8.99 7.86 6.83 5.10

220 13.01 13.80 12.92 11.90 9.83

440 6.42 6.81 6.22 5.45 4.22

400 8.69 9.22 8.54 7.77 6.27

GaSb 111 18.96 20.11 17.66 13.12 10.87

333 5.40 5.73 4.96 3.75 2.56

444 7.04 7.47 6.09 4.37 2.74

GaSb 220 14.64 15.53 14.74 12.07 8.32

\

¦ ÁºrÇ âĺ\ σ¼#F g(T = 1), @/gA BraggìøÍ(|b| = 1)\ @/ #Œ „øÍ ;Ÿ¤ ∆θtotalσ , FWHM“ ∆θσFWHM`¦

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