spectroscopy Flashcards
order of electromagnetic radiation in order of decreasing wavelength
radio waves, microwaves, infrared radiation, visible light, ultraviolet light, x rays, gamma rays.
visible spectrum wavelength range
390nm to 700nm
ground state electrons
electrons which have absorbed no energy and are in their lowest energy shell.
excited electrons
electrons which have absorbed energy to promote them to higher energy shells.
wavelength and frequency equation
C = vλ
speed of light = frequency x wavelength
energy of a photon equation
E = hv
energy = plancks constant x frequency
Planck’s constant
6.626 x 10 ^-34 Js
Avogadro’s constant
The number of atoms/ species in one mole
6.02 x 10^23 mol^-1
wavelength and wavenumber ratio
λ = 1/v*
v* in cm^-1 and λ in m so also use conversion rate.
frequency and period relationship
v = 1/T
frequency = 1 / period
period definition
the number of seconds per wave
wavenumber
the number of waves per cm
electron volts to joules
1eV = 1.602 x 10 ^ -19 J
relating energy and wavelength/ frequency equations
C = vλ and E =hv
v = C/λ
E = h(C/λ)
v* = 1/λ
E = hCv*
photon definition
Electromagnetic radiation which behaves as a particle.
frequency and energy rule for electromagnetic radiation
as the frequency increases the energy of electromagnetic radiation will increase
rule for energy absorbed by an electron
the energy an electron will absorb is not the energy of the energy shell it is currently in or promoted to, it the the energy gap, or difference in energy between the two energy shells.
Rydberg equation
E = RH/n^2
energy = Rydberg’s constant / (principal quantum number)^2
Rydberg’s constant
RH = 13.6 eV
energy gap of an electron equation
ΔE = RH( 1/n^2 - 1/ n^2)
where n = n1 and n = n2
n1< n2
basically the energy must be positive because its an energy gap
series of energy transitions
lyman : n =1
balmer : n = 2
paschen : n = 3
bracket : n = 4
pfund : n = 5
where n is the lower energy shell
basic quantum numbers of electrons
n , l , ml, ms
n quantum number
the principal quantum number referring to electron energy shell
l quantum number
the angular momentum quantum number shows the position and the momentum ( mass x velocity)
ml quantum number
the magnetic quantum number - refers to the orbital orientation that the electron is occupying
ms quantum number
the spin magnetic quantum number - shows the electrons spin direction
orbital selection rule for promotion of electrons
electrons can only be promoted to orbitals with higher energy than their ground state with an angular momentum quantum number of l+1.
(this means if it is an s orbital it can only be promoted to higher energy p orbitals, and a p can only be promoted to higher energy d orbitals, ect)
resolving power of a spectrometer equation
R = λ/Δλ
resolving power = wavelength of light measured / the smallest change in wavelength measurable
resolving power definition
the measurement of how well a spectrometer can differentiate between different wavelengths
fine structure promotion explanation
when there is a very high resolving power spectrometer we can see orbital energy levels will fragment into smaller sub - energy levels.
This is because elections have a mass and a charge meaning they will produce a tiny magnetic field.
this magnetic field is shown by the ms quantum number.
The fine structure energy shell can be shown by the quantum number J
fine structure quantum number equation
J = MS + L
total angular momentum for fine structure = spin magnetic quantum number + angular momentum
hyperfine structure explanation
if you have an incredibly strong resolving power spectrometer you would see the transitions of fine structure energy levels will also fragment into smaller sub - sub shells of orbitals.
this is due to the nucleus which the electrons are attracted to having a mass and a charge meaning they will have a magnetic field.
this magnetic field will be shown by the I quantum number.
The hyperfine structure energy shell can be shown by the equation F = J + I
nuclear angular momentum quantum number
I
hyperfine structure quantum number equation
F = J + I
beer lamber equation
A = ε[M]l
absorption = molar absorbance co efficient x concentration of absorbing species x path length
no units = L mol^-1 cm^-1 x mol L-1 x cm
transmittance equation
T = I/I0
transmittance = intensity detected /source intensity
transmittance to absorption
absorption to transmittance
A = -log(T)
T = 10^-A
limitations of beer lambert calculations accuracy
this equation is based on the assumption that all light is either absorbed or transmitted, and that neither of the container of the solution, or the solution will refelct any light.
note on absorption and transmittance calculations
absorption cannot be directly transferred from a percentage to a decimal, must be converted to transmittance using T = 100 - %A. Then converted back using A = -log T
beer lambert equation of two different species which absorb the wavelength
A1 = l(ε1b1 x [B] + ε1c1 x [C])
A2 = l(ε2b2 x [B] + ε2c2 x [C])
then use simultaneous equations
atomic absorption spectroscopy
a range of uv and visible electromagnetic radiation will be directed at a sample and specific wavelengths of light will be absorbed to promote electrons from to higher energy orbitals. this will reduce the transmission of these specific wavelengths which will detected by the spectrometer. this will cause black lines at absorbed wavelengths.
atomic emmision spectroscopy
where electrons are excited to promote them to higher energy orbitals, this will allow the electron to relax and emit photons which will be detected by a spectrometer. the photons emitted will have an energy equal to the energy of the downwards transition of the electron.
reason for a broad range of absorption for UV Vis spectrometry
a molecules electrons will have hyperfine and fine electron structures due to electron magnetic influence and nuclear magnetic influence on an orbital. These will cause a large variety of different energy gaps between the the different orbitals, meaning electrons can absorb a wider range of wavelengths of uv/ visible light to promote electrons to higher orbitals.
solvent rule for ranges of absorptions within UV and visible spectroscopy
solvents will bombard a solute molecule with electrons which will result in transitions of electrons to a broader range of absorption of wavelengths of UV / visible wavelengths of light.