Test 3 Flashcards
time spectrum vs space spectrum
both can be described by a frequency which corresponds to a wavelength of photons, and a specific amplitude also correlated to that wavelength. difference: time is expressed as a function of time, space uses a function of retardation as a measure of space, and time domain can be described by a higher frequency and therefore shorter tau than space domain
time domain vs frequency domain
can encode non electrical domain information (like number), belong to electrical domains and the time domain. differences: intensity as a function of time vs intensity as a function of frequency. and freq domain can be gotten from dispersive spectrometry but time cannot
inferogram time frequency for michelson interferometer (xray)
2(vm)/lambda aka 2(vm)v/c where vm is velocity of mirror
what does michelson inferometer measure directly in spectrophotometry
space measurement
retardation =
(delta) = 2(mirror drive distance)
tau
time for a freq (= 1/f)
delta and wavenumber in FTIR
every delta in space spectrum contains info for every wavenumber and vice versa
fourier transformation
info goes from space domain to frequency domain
resolution for FTIR eq
improves with inverse delta
overtones
first overtone = 2 and so on, just multiply eq by that number because we’re fools
time domain graph
x axis has time, with 0 at the center
FTIR advantages
high S/N (very fast), accurate, precise, source reaches detector in one pulse, “high throughput” (fast)
IR applications
qualitative distinction of functional groups and id of molecules, quantitative things like BAC and conc similarly based on intensity of peaks
Raman scattering
inelastic. has a delta E bc delta E = h(v1 - v2) and v1 and v2 are not equal due to vibration. Has antistokes and stokes lines at specific distance from the rayleigh line for specific species. polarizability (alpha) changes because distance btwn molecules changes.
Compton scattering
longer wavelengths due to energy lost in ionization (as opposed to vibration)
photoionization
adding radiation to species to induce ionization
Rayleigh scattering
the vast majority of scattering. elastic, v1 = v2
remember wavelength to freq conversion
c = v(lamba)
boltzmann eq
ratio of excited:ground state = e^(-deltaE/kT), T must be in K
Raman vs IR
based on polarizability vs change in dipole, quadratic eqs on character table vs translational symbols, IR has transition to eigenstate while raman goes to a virtual state. both measure light and matter interaction and molecular vibrations. the interactions differ (vibration vs scattering), IR transition is from ground to some excitation while Raman is from virtual state to ground.
stokes and anti-stokes magnitude
stokes have much larger magnitude than anti-stokes, the ratio is temp-dependent (Boltzmann eq) and magnitude is also based on the power of the excitation radiation
typical raman spectrum lines
only stokes lines usually
Raman wavelengths overlap with other processes
far from absorbance but often stokes overlap with fluorescence
Raman intensity eq
varies with source freq^4, also varies with concentration
raman original experiment setup
sun, lenses, blue-violet filter, sample, yellow-green filter, observer (at 90 degrees)
Raman equipment setup
laser source, sample, selector, detector (can be 180 or 90 degrees). usually HeNe laser
minimizing fluorescence interference with Raman
use FT instrument
FTIR vs FTRaman spec
both use michelson inferometer and give qualitative info on functional groups, energy for Raman is Excitation - deltaV where IR is just the delta V, and setup for Raman is more complex than IR also Raman sample is at 90 while IR is at 180
Raman advantages over IR for quantitation
water interferes with it less, machines are more compact for field work
Raman intensity eq
Ir = kv(Iex)C - slope, varies with excitation intensity
polarizability for Raman to be scattering produced
alpha varies based on r (distance btwn atoms)
temp change of stokes vs antistokes
stokes - heating, anti-stokes = cooling (vibrations need to release or get energy somehow)
lasers for Raman
HeNe is less likely to produce fluorescence than Ar or Kr (these are higher energy), diode lasers are better than elemental to have high power with low interference from fluorescence. near-IR (Nd:YAG) used for FTRaman, high power again but cannot make e- transitions happen
lifetime of virtual state/Raman
1x10^-15 seconds
SERS
surface enhanced Raman spec. detects for molecules adsorbed to a surface, can be as sensitive as fluorescence due to enhancement of the EM waves by the metal.
atomic spectroscopy applications
lead detection, shifting of celestial bodies based on composition and red shift
the sun emits..
black body radiation
transition rules**
delta S = 0, delta L = 0 or +-1, delta I = +-1, delta J = 0 or +-1 (most of these are angular momentum), spin is S
singlet excited state
e- are in diff levels but still have opposite spins
triplet state value
is +- 1 until change occurs bc split could be resolved by move of either e- in the system (diff levels, same spin)
why cant triplet be in ground state
pauli exclusion principle - no same spins in 1 orbital
how is atomic spectra generated (atom)
outermost e- specifically homo-lumo gap unique to each element
thermal excitation
spark, heat (non radiative energy) can be added causing excitation and emission of radiation. this is why elements have spec colors in flame
boltzmann eq for atomic spectra
excited/ground = (Pj/Po) e^(-deltaE/kT) where P are number of electrons that go in higher energy over the lower energy orbital
why is atomic line width so thin
no vibrations to interfere
atomic line is broadened by…
uncertainty, doppler effect, high pressure, electrical and magnetic fields
heisenberg uncertainty energy and time eq
delta v * delta t greater than or = 1
delta t in atomic spec
lifetime of the excited state
derived eq for heisenberg uncertainty calc
delta lamba = lamba^2*deltav/c
think about derivatives. c/x
-c/x^2
doppler effect and eq
wavelength inc as object moves away, dec as it approaches. observed freq = (c + observer v)/(c+source v) (actual freq)