1.2.2 espacio reciproco - IFUNAM · 1/D* magnitud is identical to distance plane (hkl) Dr G. Gonzalez. Direct and reciprocal lattices. Dr G. Gonzalez. or Kevin Co,wtan'S Book of Fourier

Page 1 <img data-url='document/122-espacio-reciproco-ifunam-1d-magnitud-is-identical-to-distance-plane-hkl.html?page=1' data-page='1' class='cut-thumb lazyload' alt='Page 1: 1.2.2 espacio reciproco - IFUNAM · 1/D* magnitud is identical to distance plane (hkl) Dr G. Gonzalez. Direct and reciprocal lattices. Dr G. Gonzalez. or Kevin Co,wtan'S Book of Fourier' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader036.cupdf.com/reader036/viewer/2022081620/60ff632998c1ba71cd3c84c1/html5/thumbnails/1.jpg' width='140' height='200' /> El espacio recíproco.Objetivo: Entender al espacio reciproco como la transformada de Fourier del espacio real. Visualizar que las redes múltiples producen espacios recíprocos con nodos extinctos.

Dr G. Gonzalez

Page 2 <img data-url='document/122-espacio-reciproco-ifunam-1d-magnitud-is-identical-to-distance-plane-hkl.html?page=2' data-page='2' class='cut-thumb lazyload' alt='Page 2: 1.2.2 espacio reciproco - IFUNAM · 1/D* magnitud is identical to distance plane (hkl) Dr G. Gonzalez. Direct and reciprocal lattices. Dr G. Gonzalez. or Kevin Co,wtan'S Book of Fourier' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader036.cupdf.com/reader036/viewer/2022081620/60ff632998c1ba71cd3c84c1/html5/thumbnails/2.jpg' width='140' height='200' /> The reciprocal lattice a bxcv

*≡r r

p

b cxav

axb

*

≡r r

r r

c axbv

*≡

r r r rD ha kb lc* * * *= + +D ha kb lc+ +

Physical meaning

vector D* is perpendicular to (hkl) plane

1/D* magnitud is identical to distance plane (hkl)

Dr G. Gonzalez

Page 3 <img data-url='document/122-espacio-reciproco-ifunam-1d-magnitud-is-identical-to-distance-plane-hkl.html?page=3' data-page='3' class='cut-thumb lazyload' alt='Page 3: 1.2.2 espacio reciproco - IFUNAM · 1/D* magnitud is identical to distance plane (hkl) Dr G. Gonzalez. Direct and reciprocal lattices. Dr G. Gonzalez. or Kevin Co,wtan'S Book of Fourier' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader036.cupdf.com/reader036/viewer/2022081620/60ff632998c1ba71cd3c84c1/html5/thumbnails/3.jpg' width='140' height='200' /> Direct and reciprocal lattices.

Dr G. Gonzalez

Page 4 <img data-url='document/122-espacio-reciproco-ifunam-1d-magnitud-is-identical-to-distance-plane-hkl.html?page=4' data-page='4' class='cut-thumb lazyload' alt='Page 4: 1.2.2 espacio reciproco - IFUNAM · 1/D* magnitud is identical to distance plane (hkl) Dr G. Gonzalez. Direct and reciprocal lattices. Dr G. Gonzalez. or Kevin Co,wtan'S Book of Fourier' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader036.cupdf.com/reader036/viewer/2022081620/60ff632998c1ba71cd3c84c1/html5/thumbnails/4.jpg' width='140' height='200' /> Page 5 <img data-url='document/122-espacio-reciproco-ifunam-1d-magnitud-is-identical-to-distance-plane-hkl.html?page=5' data-page='5' class='cut-thumb lazyload' alt='Page 5: 1.2.2 espacio reciproco - IFUNAM · 1/D* magnitud is identical to distance plane (hkl) Dr G. Gonzalez. Direct and reciprocal lattices. Dr G. Gonzalez. or Kevin Co,wtan'S Book of Fourier' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader036.cupdf.com/reader036/viewer/2022081620/60ff632998c1ba71cd3c84c1/html5/thumbnails/5.jpg' width='140' height='200' /> Page 6 <img data-url='document/122-espacio-reciproco-ifunam-1d-magnitud-is-identical-to-distance-plane-hkl.html?page=6' data-page='6' class='cut-thumb lazyload' alt='Page 6: 1.2.2 espacio reciproco - IFUNAM · 1/D* magnitud is identical to distance plane (hkl) Dr G. Gonzalez. Direct and reciprocal lattices. Dr G. Gonzalez. or Kevin Co,wtan'S Book of Fourier' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader036.cupdf.com/reader036/viewer/2022081620/60ff632998c1ba71cd3c84c1/html5/thumbnails/6.jpg' width='140' height='200' /> Page 7 <img data-url='document/122-espacio-reciproco-ifunam-1d-magnitud-is-identical-to-distance-plane-hkl.html?page=7' data-page='7' class='cut-thumb lazyload' alt='Page 7: 1.2.2 espacio reciproco - IFUNAM · 1/D* magnitud is identical to distance plane (hkl) Dr G. Gonzalez. Direct and reciprocal lattices. Dr G. Gonzalez. or Kevin Co,wtan'S Book of Fourier' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader036.cupdf.com/reader036/viewer/2022081620/60ff632998c1ba71cd3c84c1/html5/thumbnails/7.jpg' width='140' height='200' /> Page 8 <img data-url='document/122-espacio-reciproco-ifunam-1d-magnitud-is-identical-to-distance-plane-hkl.html?page=8' data-page='8' class='cut-thumb lazyload' alt='Page 8: 1.2.2 espacio reciproco - IFUNAM · 1/D* magnitud is identical to distance plane (hkl) Dr G. Gonzalez. Direct and reciprocal lattices. Dr G. Gonzalez. or Kevin Co,wtan'S Book of Fourier' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader036.cupdf.com/reader036/viewer/2022081620/60ff632998c1ba71cd3c84c1/html5/thumbnails/8.jpg' width='140' height='200' /> Page 9 <img data-url='document/122-espacio-reciproco-ifunam-1d-magnitud-is-identical-to-distance-plane-hkl.html?page=9' data-page='9' class='cut-thumb lazyload' alt='Page 9: 1.2.2 espacio reciproco - IFUNAM · 1/D* magnitud is identical to distance plane (hkl) Dr G. Gonzalez. Direct and reciprocal lattices. Dr G. Gonzalez. or Kevin Co,wtan'S Book of Fourier' loading='lazy' src='data:image/gif;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAADUlEQVR42mNk+P+/HgAFhAJ/wlseKgAAAABJRU5ErkJggg==' data-src='https://reader036.cupdf.com/reader036/viewer/2022081620/60ff632998c1ba71cd3c84c1/html5/thumbnails/9.jpg' width='140' height='200' /> Page 10 <img data-url='document/122-espacio-reciproco-ifunam-1d-magnitud-is-identical-to-distance-plane-hkl.html?page=10' data-page='10' class='cut-thumb lazyload' alt='Page 10: 1.2.2 espacio reciproco - IFUNAM · 1/D* magnitud is identical to distance plane (hkl) Dr G. Gonzalez. Direct and reciprocal lattices. Dr G. 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1.2.2 espacio reciproco - IFUNAM · 1/D* magnitud is identical to distance plane (hkl) Dr G. Gonzalez. Direct and reciprocal lattices. Dr G. Gonzalez. or Kevin Co,wtan'S Book of Fourier

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