| Chem 432 |
Biochemistry Laboratory
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Fall 2002 |
| Lecture Notes:: February 21 |
© R. Paselk 1999 |
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Characterization of Macromolecules
Introduction to Spectrochemical Methods
Instrumentation for Optical Spectroscopy
Instrument Components: want to look at common sorts
of components found in many instruments, these include the: source,
sample holder, wavelength selector, detector, signal readout.
[overhead 40]
Optical materials: obviously transparent materials are
needed for the manufacture of various types of components. The
most common are silicate glasses (pass approx. 320-2000 nm), fused
silica or quartz (pass approx. 180-3000 nm) and salts such as
NaCl (pass approx. 200-15,000 nm) or KBr (pass approx. 200-30,000
nm).
- Radiation Sources
- Continuous- sources giving all wavelengths within a spectral
region.
- Deuterium (D2) lamps-
give UV radiation (about 180-350 nm)
- Tungsten (W) lamps- use resistively heated W-filament as
source (about 340-2200 nm); now more common to see quartz/halogen
lamps-still tungsten lamp, but halogen allows higher operating
temp. so higher UV output (240-2500 nm). Note that these lamps
have a radiant intensity which varies as V4
- Xenon - (250-600+ nm) used in fluorescence etc.
- IR Sources (400-40,000 nm)
- Line Sources- sources giving discontinuous, discreet line
spectra
- Hollow cathode lamps- cathode of specific metal provide metal
element line spectra (can be more than one element in lamp.
- Gas discharge & metal vapor lamps (neon lamps, sodium
lamps, etc.)
- Lasers- monochromatic (bandwidths of 0.01 nm or less), coherent,
very narrow beams with very high intensities possible, some are
tunable, can operate continuously or in pulses (down to femtoseconds)
- Wavelength Selectors: Generally need a more or less
narrow band of wavelengths for spectroscopic studies. Frequently
in fact would like completely monochromatic light of a single
wavelength. However no available source achieves this ideal.
Get a distribution instead with a Gaussian-like shape. Define
the bandpass or bandwidth as the width of this distribution at
half-height {Sketch}. Two major types: filters, and monochromators.
- Filters- only allow a restricted selection of wavelengths
to pass. Two types:
- Absorption- less expensive, use dyes etc. to absorb certain
portions of spectrum. Generally have a broad bandpass (30-250
nm). A special type of absorption filter is the cut-off filter:
T drops from about 100% to 0% over a short wavelength range.
(Sometimes referred to as long-pass filters since they allow
wavelengths from the cut-off to about 4000 nm to pass.)
- Interference-operate by internal reflections and constructive/destructive
interference. Set up a cavity (metal film/CaF or MgF dielectric/metal
film) which has dimensions which is a multiple of the desired
wavelength, all other wavelengths will then be rejected by destructive
interference. Good filters stack a series of identical cavities
to get better rejection. Note that the filter will allow multiple
orders of light to pass that is light with multiples of the same
wavelength. Thus these filters often use colored glass absorption
filters as a substrate to block the unwanted orders. Note also
that they are angle dependent, since the angle of incidence will
affect the pathlength through the cavity!
- The bandpass of these filters is determined by: lmax= 2th/n; where
t is the thickness of the dielectric layer, h is the refractive index, and n is the
interference order. (Why does the refractive index appear here?
Recall that refractive index is a measure of how much light is
slowed down in a medium, which in turn affects wavelength: lvacuo=
lmediumh. And the change must be in
the wavelength and not frequency, since E = hn and
energy is conserved.)
- Monochromators-allow the selection of a narrow band of wavelength
over a considerable range. There are two types: Prism and grating.
All monochromators have the following components (the second
though fourth items are often combined by having a concave, focusing,
grating) [overhead]
- an entrance slit to provide an optical image
- a collimating lens or mirror (makes light beam parallel)
- a dispersing element (grating or prism)
- Prism: a 60° angle gives the best dispersion. Generally
of glass, quartz, or fused silica. Note that prisms give higher
throughput than gratings, but are more expensive, and give a
non-linear
dispersion (higher in the UV region), so harder to produce
instruments with constant bandpass. Not very popular today, see
mostly in older instruments.
- Grating: disperse light via positive and negative interference.
Basically the grating creates a whole series of light sources
which are allowed to interfere. At any given angle only a single
wavelength (and multiples of it) will be positively reinforced
[overhead] Generally use a replica grating made by casting
plastic onto the original and silvering.
- Traditionally used a scribe to create lines on glass or metal
to create the master grating. Now can also use laser interference
patterns to photo-etch a holographic grating. Generally
holographic gratings have better perfection with respect to line
shape and dimensions giving lower stray radiation and fewer "ghosts."
- Most common is the Echellette grating where reflections
off the larger faces combine to give the spectrum. For UV commonly
have 1200-1400 grooves/mm, IR 100.
- Gratings can be made concave to give optical focusing, thus
eliminating the need for collimating and focusing lenses in the
monochromator.
- a focusing element (lens or mirror) which focuses the image
of the entrance slit on the exit slit
- an exit slit
- Slits-generally the same dimension (often the same slit in
folded designs). Optimize between resolution and intensity.
- Note the resolution of a monochromator will depend on (given
a high quality dispersing element) the slit width and the pathlength
from slit to slit.
- Radiation Detectors-devices which indicate the presence of
radiant energy by creating some sort of signal. Ideally want
signal to be proportional to the radiant energy: s=signal=k
P, where P=radiant power. In real instruments often haves=K
P+kd, where k2=dark
current. Two basic types of detectors:
- Photoelectric (Quantum) detectors-respond
to individual events (photons), either by releasing an electron,
or by enhanced conduction. Limited by shot noise (junctions).
- Thermal Detectors-respond to average
power, widely used in IR work. Limited by thermal noise.
- Photon detector types:
- Photovoltaic cells-Sense, 380-780 nm,
rugged, low cost, no external power required. However, the signal
is difficult to amplify so low sensitivity, they exhibit fatigue,
and have a slow response.
- Phototubes- [overhead] Sense from 150-1000 nm. Work by photoelectric
effect. Have a sensitive cathode, such as Na metal, which readily
releases photo-electrons. Then have an anode at about +90 (relative)
so electrons will be drawn to it, generating a current. Easy
to amplify, quick response, high resistance. But frequently produce
significant dark currents from thermal electrons and 40K decay in glass envelope.
- Photomultiplier tube (PMT)- [overhead]
similar to the phototube, but amplify with
an electron cascade using a dynode. Get amplification of 106-107
electrons/photon. Fast response, with cooling (liquid He) can
get single photon detection (photon counting), but can be irreversibly
damaged by hi-intensity (room level) light.
- Photodiodes- [overhead] Si diodes sense 190-1100 nm. Higher sensitivity
than phototubes, less than photomultipliers. Can be manufactured
in an array to detect many signals simultaneously.
- Charge- [overhead] transfer Device (CTD) detectors- Sense
170-800 nm. Performance approaches PMT's in sensitivity and dynamic
range, but multichannel, usually manufactured in 2-D arrays.
(basis of CCD astronomical detectors, video cameras etc.)
- Thermal types: IR photons don't have enough energy to dislodge
photoelectrons so detect by the heat they generate. Have a blackened
surface which absorbs heat photons, raising temperature and resulting
in an increase an electrical signal. Must measure temperature
differences of a few milli °C.
- Theromopile-tiny thermocouples, generate a voltage when heated.
- Bolometer- a conductor which changes conductivity with temperature.
- Signal Readout devices.
Spectroscopic Instrument Designs
Typical Instrument Designs: [overhead]
- Photometers: select wavelength with filters.
- Spectrophotometers: prism or grating based instruments; can
select narrow bandpass beam of radiation over a broad wavelength
range. Discuss three examples, noting the components, and the
important parts comprising these components (e.g. slits, focusing
elements and dispersing element in a monochromator), in each:
- Single-beam (Spectronic 20) [overhead 42]
- Double-beam (Cary 14 & Perkin -Elmer) [overhead]
- Multichannel (HP 8452A) [overhead]
Molecular Spectroscopy
- UV-Vis Absorption Spectroscopy: First want to look
at the species which absorb radiation and the phenomena involved.
Let's go back for a moment and review the variations seen in
absorption spectra with environment. [overhead]. This figure
appears to show the fine structure for a single electronic transition.
Spectra have greatest resolution (peaks are sharpest and narrowest)
when the molecules behave independently (as independent resonators)
so that there are limited numbers of rotational and vibrational
states available to them. Thus get pretty good resolution in
gas phase. In a non-polar solution phase the rotation of the
molecules is obstructed, and the vibrational lines are greatly
broadened by jostling in the solution. Finally, in polar solutions,
the interactions with rotating dipoles of the solvent spread
out the vibrational levels by creating many new ones and we see
a very much broadened spectra. These types of broadening are
pretty general, and will be seen for most species.
-
- Let's look then at some particular types of species and their
expected spectral characteristics.
- Organic compounds: [overhead] Absorption between 180 and
780 nm generally results from bonding electron transitions (p Æ p*, sigma bonds are
too strong to show transitions in this range, while nÆ
s*{non-bonding transitions} occur in the range 150-250
nm, but with a low value of epsilon, so the transitions are not
favorable), or transitions for electrons localized on non-carbon
atoms (O, S, N, X). Note that conjugation of double bonds generally
moves the spectral line to longer wavelengths (lower energies,
that is there are more energy levels more closely spaced), and
increases epsilon (the transition is more likely).
- Inorganic compounds:
- Transition metal ions and complexes of Periods 4 and 5 often
absorb due to transitions of d -electrons (dsp
hybrids for complexes). The energy differences, and thus wavelengths
corresponding to these transitions, depend on the liganding species,
the oxidation state of the ion, and its placement on the Periodic
table. [overhead]
- Lanthanide and actinide inner-transition series elements
exhibit electron transitions due to f -electrons. Since
these are inner-shell electrons, they are relatively shielded
from environmental effects and thus show fairly sharp spectra
more reminiscent of gas-phase spectra. [overhead]
UV-Vis Absorption Spectroscopy
- Charge-transfer complexes: These consist of an electron-donor
group bonded to an electron-acceptor group. Absorption of radiation
results in the electron being transferred to an acceptor-associated
orbital. The process thus resembles an internal redox reaction.
These transitions are often very favorable, leading to high epsilon
values (>10,000) and thus high sensitivity, so folks like
them as analytical reagents. In most complexes involving a metal
ion, the ion is the electron-acceptor. [overhead]
- Qualitative Absorption Spectroscopy: UV-Vis spectra
are of limited value for qualitative identification because of
the limited amount of information in these spectra. For qualitative
spectroscopy want a narrow bandpass to get sharp peaks and good
resolution. Note how peaks not only narrow, but also gain in
magnitude as the bandpass narrows. Generally the bandpass is
limited by the increasing noise vs. signal strength as the slit
narrows. Solvents must generally be transparent throughout UV-Vis
region. Note also the shift to longer wavelengths (a few nm)
and higher absorbance that occurs in going from polar to non-polar
solvents.
-
- Quantitative Absorption Spectroscopy: Extremely wide
usage. Some characteristics:
- Wide applicability: many species absorb light, or can react
with reagents to make light absorbing species. Perhaps 90% of
clinical analysis involve UV-Vis absorption.
- High sensitivity: Typical detection limits range from 10-4-10-5M.
And can get to 10-7M.
- Good selectivity: Can often select analyte by looking at
particular wavelengths which are specific to analyte.
- Good accuracy: relative errors of 1-5%. Can get down to tenths
of % with special procedures.
- Convenience: Methods are usually easy and readily automated.
- As we have seen in lab, usually do a series of standards
and create a standard curve for finding unknown concentrations.
This has the advantages of assuring us that Beer's Law is in
fact being followed (no curvature in plot of A vs. c), and the
best fit line, whether found by a least-squares fit or just eyeballed,
gives an averaged value for standards and is thus better than
any single value. Note , however, that for a procedure in which
Beer's Law is known to be followed (in your laboratory),
can just use Beer's Law to calculate unknown on basis of a single
standard or epsilon, if known.
-
- Standard-Addition Method: A particular problem which
can occur in real analysis is matrix effects. That is substances
in the unknown can interfere with the absorbance of the unknown
by interference with complex formation etc. Can compensate if
you know what is there, but usually of course you don't.
One way to deal with this situation is to include the unknown
and its matrix in al of the standards. That is the standard curve
is made by adding known volumes of a standard to a series of
unknown samples all of the same volume, and then all samples
are made up to the same volume in volumetric flasks. The concentration
of the unknown will then be related to the intercept of the resulting
best-fit line. Thus the concentration of the unknown, cx
may be found from:
- where b is the y-intercept, cs is the concentration
of the standard, m is the slope for the line, and Vx
is the volume of the unknown. Of course m and b are readily found
via a least-squares analysis.
-
Analysis of Mixtures: Can do simultaneous analysis of
mixtures by looking at the absorbances of standards for each unknown
substance and for the unknown mixture at a series of wavelengths
(one absorbance wavelength for each unknown substance). Can then
find the concentration for each unknown by solving a series of
simultaneous equations. This analysis can be readily accomplished
for many two component mixtures, but becomes difficult for more
complex mixtures. However, computerized systems can do much more
complex mixtures (I am familiar with up to at least 8) by "over
determining" the system, that is get more than the theoretical
wavelengths--look at complete spectra.
Last modified 25 April 2002