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