CHEM 2510 / Topic 4: Standardization

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30 Terms

1
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What does standardizing analytical methods do?

Determine if method (incl calib) gives accurate, precise, and consistent results under fixed parameters.

2
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What does calibration do?

Determine rs btwn measured signal & amount of target analyte in sample.

3
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What are the three methods to connect signal and analyte concentration, a.k.a. calibrate quantitatively?

> External standardization.

> Internal standardization.

> Standard addition.

4
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How does one do an external standard method?

> Prep known std sols w/ range of [std]s individually.

> Measure signals.

> Plot S vs [std].

> Use cc to det [analyte] in the sample.

5
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> What must the range of standards in external standardization encompass?

> What rs should analyte signal vs. [analyte] show? Why is it important?

> How is the unknown [analyte] found?

> Expected [analyte] & w/in instrument’s working range.

> Every ↑ in [analyte] gives same ↑ in signal → to give linearity.

> By estimating unknown value w/in known data range.

6
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> What does slope (k) of a cc rep?

> Why is a linear working range desirable?

> What happens when cc becomes non-linear?

> Sensitivity.

> b/c method’s sensitivity stays constant across that [ ] range.

> Sensitivity changes → small [ ] diffs no longer give proportional signal changes → error in calculated unknowns.

7
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What is the equation for a linear calibration curve?

y = kx + C

  • y = instrument signal

  • k = slope/sensitivity

  • x = [analyte] in sample

  • c = background signal

8
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> When should spl be diluted in standardization? Why should you dilute said spl?

> What happens if the spl is not diluted & lies outside linear range?

> What should you do if sample response is too low?

> When its response > linear range → brings response w/in linear range where response is still ≈ concentration.

> Non-linearity.

> Concentrate it to move response w/in working range.

9
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How does one do an internal standard method?

> Add diff cpd in known amt to all spls & stds.

> Use ratio of (X signal / IS signal) to correct vars & improve prec.

10
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What are the four criteria of a good internal standard?

> Stable.

> Absent in spl.

> No interfering w/ target X.

> Similar physical-chemical properties to target X.

Any losses occurring w/ target analyte(s) will also occur w/ IS.

11
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> Why must IS have similar chemical properties to the analyte?

> What happens to responses & accuracy if their properties differ too much?

> b/c only cpds behaving similarly during analysis will be affected equally by vars → signal ratio reliable for correction.

> Responses change unevenly not based on vars but on properties → signal ratio becomes inaccurate.

12
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> When is the internal standard added to sample? Why?

> What is the ideal response of the IS & analytes?

> What’s the ideal IS?

> Before any manipulation, b/c IS will track all losses occurring during manipulation, e.g. extraction / purification.

> 1:1.

> One that’s chemically similar to analyte but has stable isotope enrichment.

13
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> What’s the formula for Response Factor in internal standardization?

> What does it represent?

> What does a relative Response Factor > 1 mean?

What does a relative Response Factor < 1 mean?

> RF = Peak area / Spl amount

> How strongly detector responds to cpd amt, e.g. analyte/IS.

> Analyte = stronger signal than IS → detector more sensitive to analyte.

> IS = stronger signal than analyte → detector more sensitive to IS.

14
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What is the formula correlating RRF, IS & X concentrations, and IS & X signals?

(SX / SIS) = (RRF)(CX)/(CIS)

15
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> What is the formula for the dilution factor?

> Why does the DF work in concentration calculations?

> DF = Vfinal / Vinitial

> M1V1 = M2V2 → M1 / M2 = V2 / V1 = DF

Multiplying by DF restores original concentration before dilution.

16
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> What’s a primary reagent?

> What’s a primary std sol?

> What’s a secondary reagent?

> What’s a secondary std sol?

> Primary reagent: Pure, stable, non-hygroscopic cpds used for std sol prep.

> Primary std sl: Sol made from primary reagent w/ accurately known [ ].

> Secondary reagent: Less pure, unstable, hygroscopic cpds whose [ ] cannot be precisely known.

> Secondary std sol: Sol whose [ ] is determined by standardization vs a primary std.

17
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> What’s the goal of prepping std solutions?

> How’s a std solution prepared?

> Calibration & quantitative analysis.

> Accurately weight analyte → dilute to known vol.

Standard solutions can be made from a primary or secondary standard.

18
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How does one perform the standard addition method? What is its goal?

> Add known amounts of analyte directly into the sample.

> Measure total signal after each addition.

> Extrapolate back to zero to find the analyte concentration originally present in the sample (matrix).

19
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Why does the x-intercept (negative value) in standard addition give the original [analyte]?

The x-intercept’s magnitude equals the original analyte concentration, because it represents the amount that was there before any standard was added.

20
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How is standard addition different from internal standardization?

> IS has a different substance added to the sample.

> Standard addition has the same substance added to the sample.

21
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What are matrix effects?

∆Sx by other stuff in spl (the matrix) that isn’t X itself.

22
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Does external standardization correct for matrix effects? Why or why not?

> In external standardization, the cc is prepared using stds in a clean solv.

> If the spl contains a different matrix, matrix components can alter the S response.

> Because the spl and stds do not respond the same way, the cc no longer accurately relates S to C, leading to incorrect results.

External assumes matrices are the same but is faster. Additions proves it by measuring within the same matrix but is slower.

23
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What are the three approaches to standard addition?

> Single addition to a single solution.

> Multiple point addition to multiple solutions.

> Multiple point addition to a single solution.

24
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How does one perform standard addition via a single addition to a single solution?

> Start w/ unknown spl (contains X).

> Measure So.

> Add known amount of X std.

> Measure new S1.

> Draw line thru two points (assuming linear response).

> Extrapolate to x-int → gives -Cx.

∴ magnitude of x-int = [X]og

25
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What is the formula when dealing w/ single addition to a single solution?

[target analyte] / [final standard] + [diluted target analyte] = IntensityX / IntensityS+X

> [X]i = unknown [analyte]

> Ix = intensity of signal from unknown amt of analyte

> [S]f = final [standard]

> [X]f = diluted [analyte]

> IS+X = intensity of unknown analyte + standard

26
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What is your special formula when dealing w/ single addition to a single solution?

C_{x}=\frac{I_{x}C_{s}V_{s}}{I_{s+x}\left(V_{x}+V_{s}\right)_{}-I_{x}V_{x}}

27
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How does one perform standard addition via multiple addition to multiple solutions?

> Begin w/ several identical aliquots of unk spl w/ same matrix + X amt.

> Add diff kn amts of std-X to each aliquot (except blank).

> Dilute each sol to same final volume to keep matrix constant.

> Measure S for every sol.

> Plot S vs. added [std-X].

> Extrapolate to x-int → gives -Cx.

∴ Magnitude of x-int = [X]og

28
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When do you use single-solution vs multiple-solution standard addition?

Single solution, successive adds
> Sample vol limited

Multiple solutions, multiple adds
> Sample vol plentiful
> Better stats, indep pts

29
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How does one perform standard addition via a multiple addition to a single solution?

> Start w/ unkn spl (contains X).

> Measure S0.

> Add increasing kn std-X amts successively.

> After each addition, correct for dilution.

> Measure S after each addition.

> Plot S vs added [std-X]

> Extrapolate to x-int → gives -Cx.

∴ Magnitude of x-int = [X]og

30
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What is the formula when dealing w/ multiple additions to a single solution?

(IX+S) (Vi + VS / VI) = IX + (IX / [XI]) [SI](VS / VI)

> LHS = function to plot on y-axis.

> RHS = function to plot on x-axis.