Scattering Summary ∂α/∂q Polarisability Scattering Theory Quantum Picture.

21

Transcript of Scattering Summary ∂α/∂q Polarisability Scattering Theory Quantum Picture.

Page 1: Scattering Summary ∂α/∂q Polarisability Scattering Theory Quantum Picture.
Page 2: Scattering Summary ∂α/∂q Polarisability Scattering Theory Quantum Picture.

Scattering Summary

∂α/∂q

Page 3: Scattering Summary ∂α/∂q Polarisability Scattering Theory Quantum Picture.
Page 4: Scattering Summary ∂α/∂q Polarisability Scattering Theory Quantum Picture.

Polarisability

Page 5: Scattering Summary ∂α/∂q Polarisability Scattering Theory Quantum Picture.
Page 6: Scattering Summary ∂α/∂q Polarisability Scattering Theory Quantum Picture.

Scattering Theory Quantum Picture

Page 7: Scattering Summary ∂α/∂q Polarisability Scattering Theory Quantum Picture.
Page 8: Scattering Summary ∂α/∂q Polarisability Scattering Theory Quantum Picture.

Raman

Page 9: Scattering Summary ∂α/∂q Polarisability Scattering Theory Quantum Picture.
Page 10: Scattering Summary ∂α/∂q Polarisability Scattering Theory Quantum Picture.

●---●

Rotational Raman Spectroscopy

Page 11: Scattering Summary ∂α/∂q Polarisability Scattering Theory Quantum Picture.
Page 12: Scattering Summary ∂α/∂q Polarisability Scattering Theory Quantum Picture.

http://www.grc.nasa.gov/WWW/RT/2006/RT/RTB-nguyen3.html

Page 13: Scattering Summary ∂α/∂q Polarisability Scattering Theory Quantum Picture.

-iħ ∂/∂q

Schrödinger Recipe

Page 14: Scattering Summary ∂α/∂q Polarisability Scattering Theory Quantum Picture.
Page 15: Scattering Summary ∂α/∂q Polarisability Scattering Theory Quantum Picture.

H = ½ω(p2 + q2)

The Harmonic Oscillator QM

Page 16: Scattering Summary ∂α/∂q Polarisability Scattering Theory Quantum Picture.
Page 17: Scattering Summary ∂α/∂q Polarisability Scattering Theory Quantum Picture.
Page 18: Scattering Summary ∂α/∂q Polarisability Scattering Theory Quantum Picture.

αα

βα ββ

αβ

Spin

Page 19: Scattering Summary ∂α/∂q Polarisability Scattering Theory Quantum Picture.
Page 20: Scattering Summary ∂α/∂q Polarisability Scattering Theory Quantum Picture.

Double monochromater

Page 21: Scattering Summary ∂α/∂q Polarisability Scattering Theory Quantum Picture.

Example

[p,q] = iħ

So p the momentum and q the coordinate of a quantum system may not be measured precisely simultanoesly

From this we deduce Heisenberg’s Uncertainty Principle

∆p∆q ~ ħ

and

∆E∆t ~ ħ

Which indicates that we can measure the energy of a molecule but when it had that energy