Spectroscopy Flashcards
de Broglie relationship
λ = h / mv
c =
λv
v = frequency
ṽ =
1 / λ
E =
hv = hc / λ = hcṽ
= kBT = RT
State definition
The term used to summarise and define the particular set of energies that a molecule has
A molecule in a certain state has a well defined energy and is represented by the position on the y-axis on an energy level diagram
Transition definition
The process by which one state turns into another, usually by exchange of energy with the surroundings by emr
A transition is shown as a vertical arrow between two states showing the direction of change
`Selection rules tell us…
which transition states are allowed
Boltzman distribution:
N1 / N0 = exp(-(E(N1) - E(N0)) / kBT) = exp(-ΔE / kBT)
Approximate wavelength and type of spectroscopy used for radio waves
100m - 102m
Nuclear spin (NMR)
Electron spin (ESR) for shortest wavelengths
Approximate wavelength and type of spectroscopy used for microwaves
10-1m - 10-3m
Electron spin (ESR) or Molecular rotation
Approximate wavelength and type of spectroscopy used for infrared waves
10-3m - 10-6m
Molecular vibration
Molecular rotation for longest wavelengths
Approximate wavelength and type of spectroscopy used for visible light rays
10-6m - 10-6.5m
Molecular vibration for longer wavelengths
Electronic energies for shorter wavelengths
Approximate wavelength and type of spectroscopy used for ultra-violet rays
10-6.5m - 10-8m
Electronic energies
Approximate wavelength and type of spectroscopy used for X-rays
10-8m - 10-12m
Electronic energies for longest 3/4 of wavelengths
Approximate wavelength and type of spectroscopy used for γ-rays
10-12m - 10-16m
Nuclear energies
A =
A = -log10(It / I0) = εcl
c = concentration I = intensity of light l = length of box
Symbol and units for the molar absorption coefficient
ε
dm3 mol-1 cm-1
ε can be determined by…
A plot of A vs. c
%T =
(It / I0) x 100
Complementary colour combinations
Voilet & Yellow
Blue & Orange
Red & Green
Origins of the Beer-Lambert Law
Light absorbed is proportional to the number of light-absorbing molecules:
dI = -α c I dx
(dx is change in box length)
Integrates to:
I = I0 exp (-αcl)
What does the wavelength of absorption tell us?
Gives us information on the energy gap, ΔE, between ground and excited states
The molar extinction coefficient is…
A constant for a particular molecule at a certian wavelength
Conjugation…
Shifts λmax to longer wavelength (lower energy) and increases ε
What effect does a larger box have on ε?
Larger box = Larger charge separation = Stronger interaction with the electric field = Larger ε
(Separation between energy levels decreases as size of box increases)
Electronic spectroscopy involves…
Moving electrons between molecular orbitals (changing the electronic structure)
What is the chromophore?
The part of the molecule that absrobs light
What orbitals are involved in electronic spectroscopy for organic molecules?
Mostly involves n, π or π* orbitals
What orbitals are involved in electronic spectroscopy for inorganic molecules?
Often involves transfer of electrons between d-orbitals
Electronic spectroscopy is very useful for…
- Measuring the concentration of a known chromophore
- Following the course of a reaction
Hooke’s Law
F = -kx
For a simple harmonic oscillator, the mass oscillates with frequency…
v = 1 / 2π sqrt( k / m)