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Qualitative analysis
What is it?
Ex: infrared Spectroscopy, NMR, Mass Spectroscopy, Atomic emission Spectroscopy
Quantitative Analysis
How much of it do I have?
Ex: Beer’s Law, UV Vis, Fluorescence, Atomic Absorption spectroscopy, chromatography, mass spec
Precision
Good Close grouping of data points, measures the same thing
Accuracy
On average you get the “correct” answer
Confidence limit
mean ± ts/sqrt(N)
Signal to Noise
The quality of an instrumental measurement.
S/N = mean analyte signal/ Standard deviation of the noise
noise
free data that does not exist
standard deviation of the noise
using st. deviation on data or by doing max-min/5
Full Width at half maximum FWHM
the width is = 2.335 standard deviations. This is where the y value is half of the max y value for a normal distribution
Chemical Noise
uncontrollable variables that affect the system (T and P fluctuations)
Instrumental Noise
Comes from the different components of the instrument:
ex: Thermal Noise (electronics), Shot noise (random variations in photos reaching a detector or electrons generated ina semi-conductor), Flicker (drift in noise with a magnitude inversely proportional to the frequency), and Environmental (noise from surroundings are picked up)
Ways to improve Signal to noise
Electronic Shielding
Difference measurements
Filters
Signal Averaging (takeing multiple measurements)
Ensemble averaging, boxcar averaging, running average
Sensitivity
How easily it will be able to measure the small changes in concentration or other values. How steep the slope of the calibration curve, and how precise.
Detection Limit
the smallest concentration you can measure reliably to a certain confidence interval.
Quantitatively = average blank + 3xstandard deviations of the blank
Qualitatively/ quantified= average blank signal + 10x standard deviation of the blank
Dynamic range
The region over which you can measure a linear calibration curve. Widely varries with technique
Selectivity
if the technique allows for analysis of a wide variety of compound types or if it is limited to a certain few types of compounds.
Mobile Phase
(liquid or gas) that moves over or through a stationary phase, carrying the components of a mixture or solutes along with it
Stationary Phase
Solid or liquid, where the mobile phase passes through or over
Phase boundary between phases
separations across which analytes partition
analyte
The Specific chemical substance or target compound in a sample you intend to separate, identify, and measure
Distribution coefficient (Kc)
(Kc) = Xs/Xm or Cs/Cm
molecules in a chromatography experiment
establish an equilibrium between mobile phase and stationary phase Xs<—> Xm
Difference between time spent in mobile phase and stationary phase
All compounds spend some time in the column. tm = time for mobile phase to traverse column.
all compounds spend the same amount of time in the mobile phase
SEPARATION OCCURS ONLY IN STATIONARY PHASE
Adsorption Chromatography
S.P = solid, molecules adsorb
M.P. = liquid or a gas
Ex: TLC, Column chromatography
Partition Chromatography
S.P. = liquid on solid support analytes dissolve
M.P. = is a gas or a liquid
Ex: GLG = gas, LLC = liquid
Normal phase
polar S.P.; non-polar M.P.
Reverse Phase
nonpolar S.P.; polar m.p.
Ion Exchange chromatography
S.P. = resin with + or - side groups
M.P. = liquid
(useful for ions)
Size- exclusion chromatography
S.P. = polymer with pores of a certain size
M.P. = liquid
Small analytes can get into pores, Large analytes are excluded
Separation is based on molecular weight
Plate theory
more plates = better separation
N= 16(tR/wb)2
Height equivalent to a theoretical plate (HETP, H)
H=L/N
Normalizes N for length of column, smaller H means a more efficient separation
Rate Theory
H is related to physical properties involved in the separation process. Causing the Van Deemter equation
H= A +B/u +Cu
What is u in the Van Deemter equation?
The average linear velocity (cm/s)
How to get from flow rate to average linear velocity?
multiply the flow rate by the cross sectional area of the column
What does A mean in the van deemter equation?
the Eddy Diffusion, arises from the different paths through the packing material.
Depends on size of the packing particle and how tightly it is packed.
What does B mean in the van deemter equation?
longitudinal diffusion, the tendency of solute molecules to spread out randomly in all directions along the length of the column.
INVERSELY PROPORTIONAL to flow velocity
What does C mean in the van deemter equation?
Arises from mass-transfer broadening, some analytes penetrate to a greater depth of the S.P.
Directly proportional to flow rate.
How to find the optimum efficiency for flow rate?
take the derivative of the Van deemter equation and set equation equal to zero and solve for the average linear velocity, then convert to flow rate.
Retention factor (k)
gives an indication of separability of compounds
k = (tR-tM)/tM
Resolution (Rs)
Rs= (tR2-tR1)/(0.5[w2+w1])
if Rs is greater than 1.5 it is baseline resolved
Selectivity Factor/ Separation factor (α)
α = (tR2-tm2)/ (tR1-tm1) = k2/k1
Gas Chromatography
Mobile Phase is a gas
Requires volatile compounds
5% of all compounds are able to be used in GC
Stationary phase is solid or liquid
Thermal conductivity detector (TCD)
Gas Chromatography detector
Universal, measures change in resistivity of heated wire in a gas stream
poor sensitivity, non destructive
no structural information
requires reference
(Not very good)
Flame ionization detector FID
Gas Chromatography detector
Most used detector
burn analytes in a H2 flame to ionize and detect current
more sensitive than TCD
Destructive, almost universal
no structural information
Electron Capture Detector
Gas Chromatography detector
Radioactive 63Ni source ionizes sample
analytes containing EN atoms can capture the electrons reducing current
Destructive
Selective for Halogens, NO2, or P containing analytes
no structural info
Flame photometric detector
Gas Chromatography detector
burn analytes in a flame, creating excited states, with photon emitted from sample
Selective for S and P compounds
Destructive
No Structural information
Mass Spectrometric detector
ions detected by M/Z ratio
mostly universal
Gives structural information
destructive
expensive
Isothermal GC
oven remains at single temperature
T gradient GC
temperature ramps up during run
more volatile things elute first (low T)
less volatile things elute after
Liquid Chromatography
Samples interact with both MP and SP unlike GC
Mobile Phase: Liquid analytes dissolve in it
Stationary phase: Solid (LSC)- Column adsorbtion
Liquid (LLC) -HPLC analytes dissolve
Two types of LLC
Normal Phase: M.P. is less polar than S.P.
Elution order: Less polar —> more polar
Reverse Phase: M.P. is more polar than S.P.
Elution order: More polar —> less polar
Isocratic LC
Solvent composition remains the same during the entire run
Gradients LC
Concentration of the solvent increases over the run, useful for separating peaks
High Performance liquid chromatography (HPLC)
Liquid chromatography at high pressures, and need an accurate way to control flow rate and mix several solvents in these high pressures (1000-5000PSI)
Reciprocating pump
A pump for HPLC that allows for uninterrupted solvent flow
to mix solvents use 2 pumps
Refractive index detector
Liquid chromatography
Compare refractive index of solvent vs (solvent + analyte)
Universal
No Solvent gradients
non destructive + no structural information
UV-Visible absorption detector
Liquid Chromatography detector
Some analytes can absorb light, and using beers law you can calculate concentration
sensitive, and universal
limited molecular information
non-destructive
A=ebc A= absorbance, e= contant for molecule and wavelength of light, b = path length, c = concentration
fluorescence detector
Liquid chromatography detector
some molecules can absorb one wavelength and re-emit a different wavelength (fluorescence)
fluorescence is proportional to concentration
very selective
very sensitive
non-destructive
can use fluorescent tags
Fluorescence tagging
Many compounds can be derivatized to form fluorescent compounds (tagging)
Can do it Pre column or post column and depends on the tag
Pre-column tagging
Adding a tag before separation of molecules in LC
Post column tagging
adding a tag after the separation from LC but before the detector
Ion exchange columns
S.P. is a polymer with either positively or negatively charged side groups
Separation depends on charge density of analytes (small binds more tightly, more charges bind better)
LC
Size exclusion chromatography columns
S.P. is a cross linked polymer with very large uniform pores
Smaller molecules become trapped in pores, whereas large molecules are excluded from the pores and elute first
retention inversely proportional to Molar mass
DO NOT USE FOR SMALL MOLECULES
how do you Qualitative analyze?
performed by comparing retention times of analyte to those of known standards under the same conditions
Requires pure reference compounds, more than one compound can have the same tR
Calibration curve procedures
create standards of known concentrations, run on instrument under known conditions
Run unknown under same conditions and interpolate
Internal Standards
compounds that have similar structure to analyte can be added in known concentration to each standard and unknown
Used to eliminate sample to sample variation in injection volume
Gel electrophoresis
Gel is a cross-linked polymer
voltage is applied across gel, anions migrate toward anode
Only works for charged species
separates based on charge density
Capillary electrophoresis
Capillary filled with buffer solution, and voltage is applied across the capillary
anions migrate toward anode, cations migrate toward cathode
Doesn’t work on neutral molecules
Electrophoretic flow
Cations attracted to cathode, anions are attracted to the anode
Electro-osmotic flow (eo)
silica capillary has anionic side groups above pH 1-2, cations in buffer attracted to wall of capilary forming layers of cations.
Second+ row of cations in buffer are attracted to cathode
RESULT: NET BUFFER FLOW TOWARDS CATHODE
Everything exits even anions going toward anode
Separates based on charge classes and by charge density
Electrophoresis math
tr=L2/(uEV)
R= 1/(4sqrt2) (ue1-ue2)[V/(Dm(ue+ueo)]