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Interference
A species that causes an error in an analysis by increasing or decreasing the quantity being measured
Matrix
Everything in the unknown other than the analyte
Masking
Transformation of an interference into a fam that is not detected
Null Hypothesis
States that two data sets are drawn from the dame populations and any observed differences arise from random errors.
Standard Operating Procedures
Specific set of instructions that describes how a particular task should be performed
Quantiative Analysis
Relative amount of each substance in a sample
Qualitative Analysis
Identity of the elements/compounds in a sample
Accuracy
Closeness of the measurement to the true or accepted valuePre
Precision
reproducibility of the measurements
Population Mean
The mean for the population which represents the total number of measurements in the population
Sample Mean
Authentic average of a subset of the population (limited sample drawn from population)
Systematic error
Arises from a flaw in equipment or the design of an experiment. Always above or below the true value. It can be identified and eliminate with a better experiment
Random Error
Arises from uncontrolled (and may uncontrollable) variables in the measurement. Equally likely to be positive or negative. The error can be reduced by a better experiment but cannot be completely eliminated.
Gross Error
An accidental error caused by a significant departure from the procedure. The error may be so significant that data must be rejected or the experiment redone.
Three ways (there are four) of detecting systematic errors
analysis of standard reference materials. Use t-statistical to see whether the true value falls within the CI of your data
Independent analysis: A second independent analytical method that is reliable
Blank determination
Round Robin Experiment
How can systematic error be eliminated
Systematic errors can be minimized by regular maintenance of equipment
An electronic balance that is placed on a countertop near an area with frequent air movements and vibrations, such as a high traffic area in the laboratory
random error
the use of a 10.00 mL volumetric flask with a piece of dust lodged in its interior
Systematic error
The use of reference weight density of 8.0 g/cm³ to make a buoyancy correction when a balance has been calibrated with a reference weight that has a density of 7.8 g/cm³
Systematic error
Outline steps in a chemical analysis
Formulating the question
Selecting the analytical procedures/select method
Sampling-obtain a representative materials analyze
sample preparation
Analysis
Reporting an Interpretation of results
Drawing conclusions
Analytical Chemistry
Branch of chemistry that deals with separations, identification, and determination of components in a sample. Field of chemistry that deals with the use and development of tools and processes for examining and studying chemical substances. Seeks ever improved methods to measure chemical composition of natural and artificial materials. Improves the reliability of existing techniques to meet demands for better chemical measurements which arise constantly in our society.
Examples of Analytical Chemistry Applications
Concentrations of O2 and CO2 determined in millions of blood samples every day and used to diagnose and treat illness.
Sample
Portion of material taken for analysis
Analyte
The component of a sample; major, minor, or trace component we’re interested in measuring
Assay
Process of determining how much of a given sample is the material indicated by its name
Sampling
Process of collecting a small mass of material whose composition accurately represents the bulk of the material being sampled
homogeneous
heterogeneous
Replicates
Portions of a material of approximately the same size that are carried through an analytical process
Masking
Transformation of an interference into a form that’s not detected
Quantitative analysis
How much analyte is present in the sample?
Qualitative Analysis
Is a particular analyte present in the sample?
Chemical Identification
What is the identity of an unknown chemical in a sample?
Structural Analysis
What is the atomic/molecular mass, composition, or structure of the analyte?
Property Characterization
What are some chemical or physical properties of the analyte?
Spatial analysis
How is the analyte distributed throughout a sample?
Time-dependent analysis
How does the amount of an analyte or a property of the analyte change over time?
Gravimetric methods
determines the mass of the analyte or some compound chemically related to it CO
Volumetric Methods
volume of a solution containing sufficient reagent to react completely with the analyte is measured
Electroanalytical methods
Measurement of electrical properties such as potential, current, resistance, and charge
Spectroscopic Methods
Measurement of the interaction between electromagnetic radiation and analyte atoms or molecules or production of such radiation by analytes
Chromatography
Separates analytes and measures the quantity of each compoundC
Calibration Curve
Measure detector response for known concentrations of each analyte
Good Laboratory practices (GLP)
A set of guidelines that promotes proper work and conduct within the laboratory. The purpose is to give confidence that the final results are a valid representation of a sample. GLPs accomplished by using standard operating procedures (SOPs). SOP is a standard operating procedure is a specific set of instructions that describes how a particular task should be performed.
Examples of SOP
a procedure for synthesizing a chemical
a safety protocol
a method of calibrating an instrument
a written description of an experiment
handling of chemicals
the use of a laboratory notebook
Experimental error
Every measurement (physical and chemical) has some uncertainty
Sources of Systematic Errors
Instrumental errors- caused by nonideal instrument behavior
Method errors- arise from nonideal chemical or physical behavior of analytical systems
Personal errors- result from carelessness, inattention or personal limitation of the experiment
Ways of eliminating Systematic errors and personal errors
regular maintenance of equipment. Use standard addition or internal standard to correct for matrix effects. Good laboratory practices and care and self-discipline.
Absolute uncertainty (absolute error)
the margin of uncertainty associated with a measurement (e=x-u)
Relative Uncertainty
is a more useful quantity than the absolute uncertainty
Error Propagation
a method that can be used to help identify the major contributions to random errors in an analysis
Gaussian Distribution
If an experiment is repeated a great many times and if the errors are purely random. The results tend to cluster symmetrically about the average value. The more time the experiment is repeated the more closely the results approach a Gaussian distribution.
Mean
the sum of a set of results divided by the number of values in the set.
standard deviation
measures how closely data are clustered about the mean
F-test
compares standard deviation, s. If Fcalc > Ftable, then reject null hypothesis
t-test
compares mean, tcalc > ttable then reject null hypothesis
Confidence Interval (CI)
the range of values within which the population mean, u, is expected to lie within a certain probability
Confidence Level (CL)
Degree of certainty you wish
Grubbs Test: Check for outliers
a statistical test to decide whether to discard a datum that appears discrepant, Gcalc> Ctable then reject the null hypothesis
Type I error (alpha error)
when you conclude the model and experimental value are not the same when they really are equivalent
Type II error (beta error)
when you conclude that a results is the same as your model, but the result is actually part of an entirely different data distribution
Method of least squares
use to draw the “best” straight line through experimental data points that contain some scatter D
Deviations
can be positive or negative. used to minimize magnitude irrespective of sign, square the deviation
Determinates
final solution for m and b
Residual plots
further confirms whether your data really fits within the line
Calibration curves
shows the response of an analytical method to known quantities of analyte. St
Standard solutions
contain known concentrations of analyte Bl
Blank solutions
contain all reagents and solvents use in the analysis, but contain no deliberately added analyte
Linear range
analyte concentration range over which response is proportional to concentration D
Dynamic range
concentration range over which there is a measurable response to analyte, even if the response in not linear