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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

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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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

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: 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

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: 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

Direct and reciprocal lattices.

Dr G. Gonzalez

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
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
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
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
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
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
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. Gonzalez. or Kevin Co,wtan'S Book of Fourier
Page 11: 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 12: 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 13: 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 14: 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