fermis golden rule lecture 3 excitations and molecular ... · lecture 3 excitations and molecular...
TRANSCRIPT
Lecture 3 excitations and molecular vibrations
Ferm
is golden rule
Selection rule
external field (light wave)polarization
of incoming
light
antisymm
etric operator
http://chemw
iki.ucdavis.edu/Core/P
hysical_Chem
istry/Q
uantum_M
echanics/Quantum
_States_of_A
toms_and
_Molecules/4.
wikipedia: A
uswahlregel
el. dipole transistion:
electronic dipole selection rule for aromatics
Exam
ple: Benzenepolarization along y
requirement for transition
mom
ent non-zero
note: in z direction, all orbits are antisymm
etric, therefore no transition dipole perpendicular to m
olecular plane
example: pentacene
transition only along short axislong axis along beam
Molecular vibrations
antracene
pentacene
normal m
odes
each mode:
all atoms sam
e frequency (like spring w
ith masses)
harmonic oscillation in norm
al coordinates
(6 needed for translation and rotation)
IR &
Ram
an are complem
entary methods to m
ap out m
olecular vibrations
polarization of a vibrational mode
a real molecule: superposition of norm
al-modes:
note: energy distributed among all m
odes equally:
IR spectrom
eters
FT
IR fourier transform
infrared spectrometer
Michelson interferom
eter
for FT
IR, w
e use broad incoherent IR source
(something hot)
for each mirror position, w
e measure the
incoherent sum of all w
avelength, each in its special interference condition
this way w
e measure the F
T of the transm
itted intensity. if w
e sample a large am
ount of mirror
positions, we can calculate back the original
spectrum