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Course plan

Recap from last week (crystal structure)

à Crystal structures, Lattice vectors, crystal basis etc.

à Reciprocal space, reciprocal lattice vectors & units, Brillouin zones à Scattering theory

Experiments

Scattering triangle Scattering probability Bragg’s law

Form factor Structure factor

à How to resolve crystal structures from scattering experiments

New Goal: Resolve crystal structure of a new 200 K superconductor!

Graphene – 2010 Nobel Prize

TASKS FOR NEXT WEEK

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(3)

History of superconductivity

https://en.wikipedia.org/wiki/History_of_superconductivity

(4)

Hydrogen Sulfide - Cave diving

(5)

H

2

S under pressure - A 200 K superconductor

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Nature Physics 12, 835–838 (2016)

What crystal structure?

200 K superconductor

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Nature Physics 12, 835–838 (2016) 200 K superconductor

What crystal structure?

Iron under pressure

Science 330, 359 (2010)

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Microscopy Real space

Diffraction

Reciprocal space

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Course plan

Recap from last week (crystal structure)

à Crystal structures, Lattice vectors, crystal basis etc.

à Reciprocal space, reciprocal lattice vectors & units, Brillouin zones à Scattering theory

Experiments

Scattering triangle Scattering probability Bragg’s law

Form factor Structure factor

à How to resolve crystal structures from scattering experiments

New Goal: Resolve crystal structure of a new 200 K superconductor!

Graphene – 2010 Nobel Prize

TASKS FOR NEXT WEEK

(10)

Tasks for next week

(1) Read chapter 2 :

Braggs Law

Scattering wave amplitude (read fast, don’t spend time on the derivation) Reciprocal Lattice vectors

Diffraction conditions Laue Equations

Brillouin Zones

Reciprocal lattice (bcc, fcc)

Fourier Analysis of Basis (read fast, don’t spend time on the derivation) Structure factor (bcc,fcc)

(2) Read about: Fermi Golden rule & Fourier transforms (3) Solve exercise sheet 2

(4) Optional: Install Mathematica

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Reciprocal lattice vectors

2-dimensions 3-dimensions

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Referenzen

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