x-rayweb.hallym.ac.kr/~hkwon/lectures/2005-2/xrd-chap2.pdf · 2006-09-07 ·...
TRANSCRIPT
![Page 1: X-Rayweb.hallym.ac.kr/~hkwon/lectures/2005-2/xrd-chap2.pdf · 2006-09-07 · 파장과에너지와의관계 Neutron 0.3 ~ 3 Å Electron 0.1 ~ 1 Å X-ray 0.1 ~ 10 Å, 1A 0.08 eV (](https://reader035.vdocumento.com/reader035/viewer/2022081405/5f08649a7e708231d421c946/html5/thumbnails/1.jpg)
X-Ray
![Page 2: X-Rayweb.hallym.ac.kr/~hkwon/lectures/2005-2/xrd-chap2.pdf · 2006-09-07 · 파장과에너지와의관계 Neutron 0.3 ~ 3 Å Electron 0.1 ~ 1 Å X-ray 0.1 ~ 10 Å, 1A 0.08 eV (](https://reader035.vdocumento.com/reader035/viewer/2022081405/5f08649a7e708231d421c946/html5/thumbnails/2.jpg)
파장과 에너지와의 관계
Neutron 0.3 ~ 3 Å
Electron 0.1 ~ 1 Å
X-ray 0.1 ~ 10 Å
eV 0.081A ,)(
28.0)( ⇒==eVEp
hAλ
)(4.12)(
keVEhcA
E==λ
144eV1A ,)(
12)( ⇒==eVEp
hAλ
![Page 3: X-Rayweb.hallym.ac.kr/~hkwon/lectures/2005-2/xrd-chap2.pdf · 2006-09-07 · 파장과에너지와의관계 Neutron 0.3 ~ 3 Å Electron 0.1 ~ 1 Å X-ray 0.1 ~ 10 Å, 1A 0.08 eV (](https://reader035.vdocumento.com/reader035/viewer/2022081405/5f08649a7e708231d421c946/html5/thumbnails/3.jpg)
X-선
![Page 4: X-Rayweb.hallym.ac.kr/~hkwon/lectures/2005-2/xrd-chap2.pdf · 2006-09-07 · 파장과에너지와의관계 Neutron 0.3 ~ 3 Å Electron 0.1 ~ 1 Å X-ray 0.1 ~ 10 Å, 1A 0.08 eV (](https://reader035.vdocumento.com/reader035/viewer/2022081405/5f08649a7e708231d421c946/html5/thumbnails/4.jpg)
X-선
![Page 5: X-Rayweb.hallym.ac.kr/~hkwon/lectures/2005-2/xrd-chap2.pdf · 2006-09-07 · 파장과에너지와의관계 Neutron 0.3 ~ 3 Å Electron 0.1 ~ 1 Å X-ray 0.1 ~ 10 Å, 1A 0.08 eV (](https://reader035.vdocumento.com/reader035/viewer/2022081405/5f08649a7e708231d421c946/html5/thumbnails/5.jpg)
X-선
![Page 6: X-Rayweb.hallym.ac.kr/~hkwon/lectures/2005-2/xrd-chap2.pdf · 2006-09-07 · 파장과에너지와의관계 Neutron 0.3 ~ 3 Å Electron 0.1 ~ 1 Å X-ray 0.1 ~ 10 Å, 1A 0.08 eV (](https://reader035.vdocumento.com/reader035/viewer/2022081405/5f08649a7e708231d421c946/html5/thumbnails/6.jpg)
X-선
![Page 7: X-Rayweb.hallym.ac.kr/~hkwon/lectures/2005-2/xrd-chap2.pdf · 2006-09-07 · 파장과에너지와의관계 Neutron 0.3 ~ 3 Å Electron 0.1 ~ 1 Å X-ray 0.1 ~ 10 Å, 1A 0.08 eV (](https://reader035.vdocumento.com/reader035/viewer/2022081405/5f08649a7e708231d421c946/html5/thumbnails/7.jpg)
X-선
![Page 8: X-Rayweb.hallym.ac.kr/~hkwon/lectures/2005-2/xrd-chap2.pdf · 2006-09-07 · 파장과에너지와의관계 Neutron 0.3 ~ 3 Å Electron 0.1 ~ 1 Å X-ray 0.1 ~ 10 Å, 1A 0.08 eV (](https://reader035.vdocumento.com/reader035/viewer/2022081405/5f08649a7e708231d421c946/html5/thumbnails/8.jpg)
X-선
![Page 9: X-Rayweb.hallym.ac.kr/~hkwon/lectures/2005-2/xrd-chap2.pdf · 2006-09-07 · 파장과에너지와의관계 Neutron 0.3 ~ 3 Å Electron 0.1 ~ 1 Å X-ray 0.1 ~ 10 Å, 1A 0.08 eV (](https://reader035.vdocumento.com/reader035/viewer/2022081405/5f08649a7e708231d421c946/html5/thumbnails/9.jpg)
http://www.matter.org.uk/diffraction/x-ray/x_ray_diffraction.htm
![Page 10: X-Rayweb.hallym.ac.kr/~hkwon/lectures/2005-2/xrd-chap2.pdf · 2006-09-07 · 파장과에너지와의관계 Neutron 0.3 ~ 3 Å Electron 0.1 ~ 1 Å X-ray 0.1 ~ 10 Å, 1A 0.08 eV (](https://reader035.vdocumento.com/reader035/viewer/2022081405/5f08649a7e708231d421c946/html5/thumbnails/10.jpg)
X-ray absorption
![Page 11: X-Rayweb.hallym.ac.kr/~hkwon/lectures/2005-2/xrd-chap2.pdf · 2006-09-07 · 파장과에너지와의관계 Neutron 0.3 ~ 3 Å Electron 0.1 ~ 1 Å X-ray 0.1 ~ 10 Å, 1A 0.08 eV (](https://reader035.vdocumento.com/reader035/viewer/2022081405/5f08649a7e708231d421c946/html5/thumbnails/11.jpg)
![Page 12: X-Rayweb.hallym.ac.kr/~hkwon/lectures/2005-2/xrd-chap2.pdf · 2006-09-07 · 파장과에너지와의관계 Neutron 0.3 ~ 3 Å Electron 0.1 ~ 1 Å X-ray 0.1 ~ 10 Å, 1A 0.08 eV (](https://reader035.vdocumento.com/reader035/viewer/2022081405/5f08649a7e708231d421c946/html5/thumbnails/12.jpg)
X-선
![Page 13: X-Rayweb.hallym.ac.kr/~hkwon/lectures/2005-2/xrd-chap2.pdf · 2006-09-07 · 파장과에너지와의관계 Neutron 0.3 ~ 3 Å Electron 0.1 ~ 1 Å X-ray 0.1 ~ 10 Å, 1A 0.08 eV (](https://reader035.vdocumento.com/reader035/viewer/2022081405/5f08649a7e708231d421c946/html5/thumbnails/13.jpg)
브랙 조건
![Page 14: X-Rayweb.hallym.ac.kr/~hkwon/lectures/2005-2/xrd-chap2.pdf · 2006-09-07 · 파장과에너지와의관계 Neutron 0.3 ~ 3 Å Electron 0.1 ~ 1 Å X-ray 0.1 ~ 10 Å, 1A 0.08 eV (](https://reader035.vdocumento.com/reader035/viewer/2022081405/5f08649a7e708231d421c946/html5/thumbnails/14.jpg)
Bragg Law
![Page 15: X-Rayweb.hallym.ac.kr/~hkwon/lectures/2005-2/xrd-chap2.pdf · 2006-09-07 · 파장과에너지와의관계 Neutron 0.3 ~ 3 Å Electron 0.1 ~ 1 Å X-ray 0.1 ~ 10 Å, 1A 0.08 eV (](https://reader035.vdocumento.com/reader035/viewer/2022081405/5f08649a7e708231d421c946/html5/thumbnails/15.jpg)
![Page 16: X-Rayweb.hallym.ac.kr/~hkwon/lectures/2005-2/xrd-chap2.pdf · 2006-09-07 · 파장과에너지와의관계 Neutron 0.3 ~ 3 Å Electron 0.1 ~ 1 Å X-ray 0.1 ~ 10 Å, 1A 0.08 eV (](https://reader035.vdocumento.com/reader035/viewer/2022081405/5f08649a7e708231d421c946/html5/thumbnails/16.jpg)
X-선
![Page 17: X-Rayweb.hallym.ac.kr/~hkwon/lectures/2005-2/xrd-chap2.pdf · 2006-09-07 · 파장과에너지와의관계 Neutron 0.3 ~ 3 Å Electron 0.1 ~ 1 Å X-ray 0.1 ~ 10 Å, 1A 0.08 eV (](https://reader035.vdocumento.com/reader035/viewer/2022081405/5f08649a7e708231d421c946/html5/thumbnails/17.jpg)
![Page 18: X-Rayweb.hallym.ac.kr/~hkwon/lectures/2005-2/xrd-chap2.pdf · 2006-09-07 · 파장과에너지와의관계 Neutron 0.3 ~ 3 Å Electron 0.1 ~ 1 Å X-ray 0.1 ~ 10 Å, 1A 0.08 eV (](https://reader035.vdocumento.com/reader035/viewer/2022081405/5f08649a7e708231d421c946/html5/thumbnails/18.jpg)
X-선 diffraction methods
Experimental diffraction methods
Laue methodhttp://www.matter.org.uk/diffraction/x-ray/laue_method.htm
Rotating crystal methodhttp://www.matter.org.uk/diffraction/x-ray/rotating_crystal_method.htm
Powder methodhttp://www.matter.org.uk/diffraction/x-ray/powder_method.htm
![Page 19: X-Rayweb.hallym.ac.kr/~hkwon/lectures/2005-2/xrd-chap2.pdf · 2006-09-07 · 파장과에너지와의관계 Neutron 0.3 ~ 3 Å Electron 0.1 ~ 1 Å X-ray 0.1 ~ 10 Å, 1A 0.08 eV (](https://reader035.vdocumento.com/reader035/viewer/2022081405/5f08649a7e708231d421c946/html5/thumbnails/19.jpg)
Rotating crystal methodhttp://www.matter.org.uk/diffraction/xray/rotating_crystal_method.htm
![Page 20: X-Rayweb.hallym.ac.kr/~hkwon/lectures/2005-2/xrd-chap2.pdf · 2006-09-07 · 파장과에너지와의관계 Neutron 0.3 ~ 3 Å Electron 0.1 ~ 1 Å X-ray 0.1 ~ 10 Å, 1A 0.08 eV (](https://reader035.vdocumento.com/reader035/viewer/2022081405/5f08649a7e708231d421c946/html5/thumbnails/20.jpg)
Laue method http://www.matter.org.uk/diffraction/x-ray/laue_method.htm
![Page 21: X-Rayweb.hallym.ac.kr/~hkwon/lectures/2005-2/xrd-chap2.pdf · 2006-09-07 · 파장과에너지와의관계 Neutron 0.3 ~ 3 Å Electron 0.1 ~ 1 Å X-ray 0.1 ~ 10 Å, 1A 0.08 eV (](https://reader035.vdocumento.com/reader035/viewer/2022081405/5f08649a7e708231d421c946/html5/thumbnails/21.jpg)
Powder method http://www.matter.org.uk/diffraction/x-ray/powder_method
![Page 22: X-Rayweb.hallym.ac.kr/~hkwon/lectures/2005-2/xrd-chap2.pdf · 2006-09-07 · 파장과에너지와의관계 Neutron 0.3 ~ 3 Å Electron 0.1 ~ 1 Å X-ray 0.1 ~ 10 Å, 1A 0.08 eV (](https://reader035.vdocumento.com/reader035/viewer/2022081405/5f08649a7e708231d421c946/html5/thumbnails/22.jpg)
Powder method http://www.matter.org.uk/diffraction/x-ray/powder_method.htm
![Page 23: X-Rayweb.hallym.ac.kr/~hkwon/lectures/2005-2/xrd-chap2.pdf · 2006-09-07 · 파장과에너지와의관계 Neutron 0.3 ~ 3 Å Electron 0.1 ~ 1 Å X-ray 0.1 ~ 10 Å, 1A 0.08 eV (](https://reader035.vdocumento.com/reader035/viewer/2022081405/5f08649a7e708231d421c946/html5/thumbnails/23.jpg)
Fourier Analysis
Fourier analysisn(r + Tnlm) = n(r)
주기성 → Fourier analysis
n(r) : the electron number density
![Page 24: X-Rayweb.hallym.ac.kr/~hkwon/lectures/2005-2/xrd-chap2.pdf · 2006-09-07 · 파장과에너지와의관계 Neutron 0.3 ~ 3 Å Electron 0.1 ~ 1 Å X-ray 0.1 ~ 10 Å, 1A 0.08 eV (](https://reader035.vdocumento.com/reader035/viewer/2022081405/5f08649a7e708231d421c946/html5/thumbnails/24.jpg)
![Page 25: X-Rayweb.hallym.ac.kr/~hkwon/lectures/2005-2/xrd-chap2.pdf · 2006-09-07 · 파장과에너지와의관계 Neutron 0.3 ~ 3 Å Electron 0.1 ~ 1 Å X-ray 0.1 ~ 10 Å, 1A 0.08 eV (](https://reader035.vdocumento.com/reader035/viewer/2022081405/5f08649a7e708231d421c946/html5/thumbnails/25.jpg)
Fourier Analysis
또는
주기성 a를 갖는 1차원 함수 n(x)
np = complex number,
n(x)=real number ,
so np* = np , (np* = np 의 complex conjugate)
![Page 26: X-Rayweb.hallym.ac.kr/~hkwon/lectures/2005-2/xrd-chap2.pdf · 2006-09-07 · 파장과에너지와의관계 Neutron 0.3 ~ 3 Å Electron 0.1 ~ 1 Å X-ray 0.1 ~ 10 Å, 1A 0.08 eV (](https://reader035.vdocumento.com/reader035/viewer/2022081405/5f08649a7e708231d421c946/html5/thumbnails/26.jpg)
Fourier analysis
integer2 i.e. ,1 ×=•=• πTGTGieρρρρ
?=Gρ
![Page 27: X-Rayweb.hallym.ac.kr/~hkwon/lectures/2005-2/xrd-chap2.pdf · 2006-09-07 · 파장과에너지와의관계 Neutron 0.3 ~ 3 Å Electron 0.1 ~ 1 Å X-ray 0.1 ~ 10 Å, 1A 0.08 eV (](https://reader035.vdocumento.com/reader035/viewer/2022081405/5f08649a7e708231d421c946/html5/thumbnails/27.jpg)
역격자 Reciprocal Lattice
역격자 - 다음과 같은 조건을 만족하는 모든 wave vector 들의 집합
integer2)( i.e. ,integer2 332211 ×=+•×=• + ππ alalalGTG ρρρρρρ
,3 32 21 1
lattice reciprocalin point A
bvbvbvGρρρρ
++= lattice reciprocalin vector primitive : 3,2 ,1
interger : 3 ,2 ,1
bbb
vvvρρρ
3 2)3 32 21 1(
2 2)3 32 21 1(
1 2)3 32 21 1(3,2,1 ,
3
2
1
족하는 만 식을 다음
vbvbvbva
vbvbvbva
vbvbvbva
bbb
π
π
π
=++•
=++•
=++•
ρρρρ
ρρρρ
ρρρρ
ρρρ
![Page 28: X-Rayweb.hallym.ac.kr/~hkwon/lectures/2005-2/xrd-chap2.pdf · 2006-09-07 · 파장과에너지와의관계 Neutron 0.3 ~ 3 Å Electron 0.1 ~ 1 Å X-ray 0.1 ~ 10 Å, 1A 0.08 eV (](https://reader035.vdocumento.com/reader035/viewer/2022081405/5f08649a7e708231d421c946/html5/thumbnails/28.jpg)
Reciprocal lattice vectors
,3 32 21 1
latticereciprocalin point A
bvbvbvGρρρρ
++=
3 basis vectors in reciprocal lattice for a given Bravais lattice
integer2 i.e. ,1 ×=•=• πTGTGieρρρρ
![Page 29: X-Rayweb.hallym.ac.kr/~hkwon/lectures/2005-2/xrd-chap2.pdf · 2006-09-07 · 파장과에너지와의관계 Neutron 0.3 ~ 3 Å Electron 0.1 ~ 1 Å X-ray 0.1 ~ 10 Å, 1A 0.08 eV (](https://reader035.vdocumento.com/reader035/viewer/2022081405/5f08649a7e708231d421c946/html5/thumbnails/29.jpg)
예제 SC
![Page 30: X-Rayweb.hallym.ac.kr/~hkwon/lectures/2005-2/xrd-chap2.pdf · 2006-09-07 · 파장과에너지와의관계 Neutron 0.3 ~ 3 Å Electron 0.1 ~ 1 Å X-ray 0.1 ~ 10 Å, 1A 0.08 eV (](https://reader035.vdocumento.com/reader035/viewer/2022081405/5f08649a7e708231d421c946/html5/thumbnails/30.jpg)
SC
![Page 31: X-Rayweb.hallym.ac.kr/~hkwon/lectures/2005-2/xrd-chap2.pdf · 2006-09-07 · 파장과에너지와의관계 Neutron 0.3 ~ 3 Å Electron 0.1 ~ 1 Å X-ray 0.1 ~ 10 Å, 1A 0.08 eV (](https://reader035.vdocumento.com/reader035/viewer/2022081405/5f08649a7e708231d421c946/html5/thumbnails/31.jpg)
FCC
![Page 32: X-Rayweb.hallym.ac.kr/~hkwon/lectures/2005-2/xrd-chap2.pdf · 2006-09-07 · 파장과에너지와의관계 Neutron 0.3 ~ 3 Å Electron 0.1 ~ 1 Å X-ray 0.1 ~ 10 Å, 1A 0.08 eV (](https://reader035.vdocumento.com/reader035/viewer/2022081405/5f08649a7e708231d421c946/html5/thumbnails/32.jpg)
BCC
![Page 33: X-Rayweb.hallym.ac.kr/~hkwon/lectures/2005-2/xrd-chap2.pdf · 2006-09-07 · 파장과에너지와의관계 Neutron 0.3 ~ 3 Å Electron 0.1 ~ 1 Å X-ray 0.1 ~ 10 Å, 1A 0.08 eV (](https://reader035.vdocumento.com/reader035/viewer/2022081405/5f08649a7e708231d421c946/html5/thumbnails/33.jpg)
![Page 34: X-Rayweb.hallym.ac.kr/~hkwon/lectures/2005-2/xrd-chap2.pdf · 2006-09-07 · 파장과에너지와의관계 Neutron 0.3 ~ 3 Å Electron 0.1 ~ 1 Å X-ray 0.1 ~ 10 Å, 1A 0.08 eV (](https://reader035.vdocumento.com/reader035/viewer/2022081405/5f08649a7e708231d421c946/html5/thumbnails/34.jpg)
1 차원
![Page 35: X-Rayweb.hallym.ac.kr/~hkwon/lectures/2005-2/xrd-chap2.pdf · 2006-09-07 · 파장과에너지와의관계 Neutron 0.3 ~ 3 Å Electron 0.1 ~ 1 Å X-ray 0.1 ~ 10 Å, 1A 0.08 eV (](https://reader035.vdocumento.com/reader035/viewer/2022081405/5f08649a7e708231d421c946/html5/thumbnails/35.jpg)
2차원
![Page 36: X-Rayweb.hallym.ac.kr/~hkwon/lectures/2005-2/xrd-chap2.pdf · 2006-09-07 · 파장과에너지와의관계 Neutron 0.3 ~ 3 Å Electron 0.1 ~ 1 Å X-ray 0.1 ~ 10 Å, 1A 0.08 eV (](https://reader035.vdocumento.com/reader035/viewer/2022081405/5f08649a7e708231d421c946/html5/thumbnails/36.jpg)
![Page 37: X-Rayweb.hallym.ac.kr/~hkwon/lectures/2005-2/xrd-chap2.pdf · 2006-09-07 · 파장과에너지와의관계 Neutron 0.3 ~ 3 Å Electron 0.1 ~ 1 Å X-ray 0.1 ~ 10 Å, 1A 0.08 eV (](https://reader035.vdocumento.com/reader035/viewer/2022081405/5f08649a7e708231d421c946/html5/thumbnails/37.jpg)
![Page 38: X-Rayweb.hallym.ac.kr/~hkwon/lectures/2005-2/xrd-chap2.pdf · 2006-09-07 · 파장과에너지와의관계 Neutron 0.3 ~ 3 Å Electron 0.1 ~ 1 Å X-ray 0.1 ~ 10 Å, 1A 0.08 eV (](https://reader035.vdocumento.com/reader035/viewer/2022081405/5f08649a7e708231d421c946/html5/thumbnails/38.jpg)
정리
모든결정은 real space에서병진대칭을가진격자를가지고있고또한reciprocal space 에서퓨리에성분(Fourier components)으로만들어진격자를가지고있다.
역 격자 는 다음과 같이 정의 되어진다
어떤 주기 함수도 다음과 같이 나타내어 질 수 있다
,3 32 21 1
lattice reciprocalin point A
bvbvbvGρρρρ
++= lattice reciprocalin vector primitive : 3,2 ,1
interger : 3 ,2 ,1
bbb
vvvρρρ
![Page 39: X-Rayweb.hallym.ac.kr/~hkwon/lectures/2005-2/xrd-chap2.pdf · 2006-09-07 · 파장과에너지와의관계 Neutron 0.3 ~ 3 Å Electron 0.1 ~ 1 Å X-ray 0.1 ~ 10 Å, 1A 0.08 eV (](https://reader035.vdocumento.com/reader035/viewer/2022081405/5f08649a7e708231d421c946/html5/thumbnails/39.jpg)
Scattering
![Page 40: X-Rayweb.hallym.ac.kr/~hkwon/lectures/2005-2/xrd-chap2.pdf · 2006-09-07 · 파장과에너지와의관계 Neutron 0.3 ~ 3 Å Electron 0.1 ~ 1 Å X-ray 0.1 ~ 10 Å, 1A 0.08 eV (](https://reader035.vdocumento.com/reader035/viewer/2022081405/5f08649a7e708231d421c946/html5/thumbnails/40.jpg)
Scattering and Fourier Analysis
Laue Condition
![Page 41: X-Rayweb.hallym.ac.kr/~hkwon/lectures/2005-2/xrd-chap2.pdf · 2006-09-07 · 파장과에너지와의관계 Neutron 0.3 ~ 3 Å Electron 0.1 ~ 1 Å X-ray 0.1 ~ 10 Å, 1A 0.08 eV (](https://reader035.vdocumento.com/reader035/viewer/2022081405/5f08649a7e708231d421c946/html5/thumbnails/41.jpg)
Elastic Scattering
![Page 42: X-Rayweb.hallym.ac.kr/~hkwon/lectures/2005-2/xrd-chap2.pdf · 2006-09-07 · 파장과에너지와의관계 Neutron 0.3 ~ 3 Å Electron 0.1 ~ 1 Å X-ray 0.1 ~ 10 Å, 1A 0.08 eV (](https://reader035.vdocumento.com/reader035/viewer/2022081405/5f08649a7e708231d421c946/html5/thumbnails/42.jpg)
Scattering amplitude Gk
ρρ=Δ
Diffraction Condition
![Page 43: X-Rayweb.hallym.ac.kr/~hkwon/lectures/2005-2/xrd-chap2.pdf · 2006-09-07 · 파장과에너지와의관계 Neutron 0.3 ~ 3 Å Electron 0.1 ~ 1 Å X-ray 0.1 ~ 10 Å, 1A 0.08 eV (](https://reader035.vdocumento.com/reader035/viewer/2022081405/5f08649a7e708231d421c946/html5/thumbnails/43.jpg)
Laue Condition
![Page 44: X-Rayweb.hallym.ac.kr/~hkwon/lectures/2005-2/xrd-chap2.pdf · 2006-09-07 · 파장과에너지와의관계 Neutron 0.3 ~ 3 Å Electron 0.1 ~ 1 Å X-ray 0.1 ~ 10 Å, 1A 0.08 eV (](https://reader035.vdocumento.com/reader035/viewer/2022081405/5f08649a7e708231d421c946/html5/thumbnails/44.jpg)
Ewald 구
![Page 45: X-Rayweb.hallym.ac.kr/~hkwon/lectures/2005-2/xrd-chap2.pdf · 2006-09-07 · 파장과에너지와의관계 Neutron 0.3 ~ 3 Å Electron 0.1 ~ 1 Å X-ray 0.1 ~ 10 Å, 1A 0.08 eV (](https://reader035.vdocumento.com/reader035/viewer/2022081405/5f08649a7e708231d421c946/html5/thumbnails/45.jpg)
Bragg Condition
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Laue 회절 –Ewald Sphere
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Laue 회절 –Ewald Sphere
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Bragg회절조건 –기하학적 의미
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Brillouin Zones
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회절과 Brillouin Zone
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BCC
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FCC
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서로 다른 격자에 따른 회절의 비교
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Powder method http://www.matter.org.uk/diffraction/x-ray/powder_method
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분말 회절 (실험)
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예제 –Powder method
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예제 –Powder method??-FCC
11.362.733.644.095.276.366.6489
FCC11.342.663.674.05.33
3/0.11=27.3 을 곱한다.
답: FCC, a~4.03 A
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숙제 -실험데이터
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Fourier Analysis of Basis
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Fourier Analysis of Basis
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Atomic Form factor
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Atomic Form Factor
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Structure factor of BCC
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BCC
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bcc
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Structur factor of FCC
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x-선
Bragg law
cf.) elastic :
inelastic : elastic wave를 excite 시켜 phonon 에너지를 흡수
하나 이상의 양자방출을 통해 바닥상태를 넘어섬
빛 (300nm∼700nm) →결정에서 elastically scattering -- refraction,
복사의 파장이 격자상수와 유사한 경우 diffraction 조건 형성
2d sinθ = nλ 보강간섭조건
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Ewald sphere
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Ewald Sphere
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Ewald Sphere
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DATA-Powder Method