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Chromatographic Separations Basics

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    Chromatographic Separations

    Introduction & Basics

    Read all of Skoog – Chapter 26.

    Common analytical problem identify and !uantify "# component

    in a mi$ture.

    Ideally

    • Completely selecti%e method to analye each component

    indi%idually in the mi$ture

    In absence of such a method' separate the analyte(s) prior toanalysis to a%oid selecti%ity issues

    Separations *ethods

    • +istillation

    • ,$traction

    • Chromatography

    • ,lectrophoresis

    Introduction to separations li!uid-li!uid e$traction

    he solute / S is partitioned bet0een 2 li!uid phases 1# and 12

    ,!uilibrium constant or  

    artition coefficient or 

    +istribution constant 3 / 4S524S5#

    #

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    So 0hat gi%es a better separation of solute bet0een the 2 phases –

    # large e$traction or se%eral small ones7

    Solute 8 has 3 / 9 bet0een toluene and 0ater (485 in toluene / 9$485 in 0ater). Start 0ith #:: m; of :.:# * a!ueous solution of 8

    and e$tract 0ith toluene.

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    The more equilibria a mixture attains between 2 different phases

    the greater the separation.

    Instrumental separations methods (i.e. chromatography) designed

    to gi%e the ma$imum number of e!uilibria (theoretical plates).

    Chromatography operates on the same principle as e$traction' but

    one phase is held in place (stationary phase) 0hile the other mo%es

     past it (mobile phase).

    he interaction of the solute 0ith the stationary phase to a large

    e$tent dictates the distribution constant 3 . he nature of this

    interaction is one 0ay to generally categorie chromatographicmethods. >or a solute 8 3 / 485stat 1485mobile 1

    9

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    he basics remain the same regardless of the type of interaction

    dictating the distribution constant.

     ?ote that your te$t in able 26-# also categories chromatographic

    methods by the type of mobile phase• @C / gas chromatography' gaseous mobile phase

    • ;C / li!uid chromatography' li!uid mobile phase

    • S>C / supercritical fluid chromatography' supercritical fluid

    mobile phase

    Belo0' 2 substances 8 and B are sho0n eluting  do0n a column

     packed 0ith stationary phase. *obile phase is continuously added

    such that elution continues until the substances are eluted  from theend of the column.

    If 3 / 485stat 1485mobile 1

    • hen 3 for solute 8 A 3 for solute B

    • 8s solute partitions bet0een the stationary phase and fresh

    mobile phase' bands from the 2 solutes begin to separatefrom one another as a result of successi%e e!uilibria bet0een

    mobile and stationary phase

    • ,ach e!uilibrium achie%ed bet0een mobile and stationary

     phase is a theoretical plate (holdo%er terminology from

    distillation theory)

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    • Since solute mo%ement can occur only in the mobile phase'

    the a%erage rate at 0hich a solute migrates do0n the column

    depends on the fraction of time it spends in the mobile phase'

    dictated by 3 for that solute

    8 chromatogram is a graph of detector response as a function of

    elution time

    2 factors affect column performance (separations)

    #. 8s solutes elute do0n the column' band separation occurs

    due to successi%e e!uilibria bet0een phases (differences in

    migration rates – good to ma$imie)

    2. 8s solutes elute do0n the column' each solute bandine%itably broadens – good to minimie

    Band (one) separation – 8n e!uilibrium treatment (Ch. 26

    Section B)

    he partition or distribution constant (3) is not readily measured'

     but the retention time is' and it is directly related to 3.

    =

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    +efinitions

    • t*

    • tR 

    • tR D

    • retention or capacity factor k or k D /

    • E (selecti%ity factor)

    If Solute is in mobile phase all the time

    Solute is in mobile phase =:F of the time and in stationary

     phase =:F of the time

    Solute is in mobile phase 2=F of the time and in stationary

     phase G=F of the time

    6

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    If the solute spends 9$ as much time in the stationary phase

    as the mobile phase' then 9$ as many moles of solute are in

    the stationary phase compared to the mobile phase.

    If kD A # then the solute elutes too !uickly' near t*

    If kD " 2: then tR  is too long causing %arious problems

    Ideally kD bet0een # and #:' separation conditions are

    adHusted to make that happen (discussed in Ch 26' Section +)

     ?o0 the last definition selecti%ity factor. he point of

    chromatography is to effect a separation' 0hich is

    fundamentally based on differences in partition coefficients

     bet0een solutes.

    E / 3 83 B / selecti%ity factor 

    (E " # by definition)

    G

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    0o factors contribute to ho0 0ell compounds are separated

    #. +ifference in elution times bet0een peaks (already)e$plained by e!uilibrium theory. ;arger difference in 3' the

     better the separation.

    2. he 0ider the peaks' the poorer the separation. ?o0 to be

    treated by rate theory.

    Band broadening and column efficiency Rate theory Section 26C

    Chromatography peaks are @aussian.

    %erall uncertainty / J many random uncertainties

    *ost common result / mean

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    ,arly on chromatography and band spreading 0as treated as an

    e!uilibrium process using distillation theory. erminology' 0hich

    can cause confusion' unfortunately remains.

    Theoretical Plate –  0here a solute undergoes e!uilibrium bet0eenmobile and stationary phase.

     Number of theoretical plates / ?

     Plate Height = O

    If ? / ;O and O / s2;

    P

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    02 / #6s2Q s2 / 02#6

    8t a gi%en mobile phase flo0 rate ; is proportional to tR  for a

    gi%en solute so

    8 solute 0ith a retention time of :Gs has a 0idth at the base of

    #9s' on a #2.2m long column. >ind ? and O.

    Column separation efficiency increases as ? increases' and

    increases as O decreases.

    Compare ? and O only for the same compound.

    Chromatography ? / #:: – #:':::

    O / :.# – :.::# cm

    Capillary electrophoresis ? #:6

    O #:-9 cm

    So far' column efficiency discussed by plate or e!uilibrium theory'

    0hich cannot e$plain the follo0ing e$perimental data

    #:

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    he abo%e %an +eemter plot sho0s that there is an optimum flo0rate' and that plate height is %ery much a function of mobile phase

    flo0 %elocity.

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    he longitudinal diffusion (Bu) term

    *obile and stationary phase mass transfer (Cu) term

    Breaking the %an +eemter plot into indi%idual contributors

    #2

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    Comparison of %an +eemter plots for gas chromatography (@C)

    and li!uid chromatography (;C)

    #9

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    • 8t lo0 flo0 rates plate height decreases 0ith increasing flo0

    rates from longitudinal diffusion term. ;arger effect in @C

    • >or same reason plate heights smaller in ;C than @C.

    he multipath 8 term

    8 / : for no packing (common in @C' not ;C)

    Summary

    • 8ddressed migration rates and distribution constants (26B)

    • 8ddressed one broadening (26C)

     ?o0 – optimiation of column performance (26+) by either 

    • 8ltering relati%e migration rates' or 

    • reducing one broadening

    #

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    he goal is to resolve 2 or more solutes in a mi$ture – dependent

    on differences in retention time and one 0idth.

    Resolution R s / TtR 

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     ?ote that the abo%e e!uation can be rearranged to find ? for a

    desired resolution

    In practical terms' resolution is only important 0hen 3 8U3 B

    ,$ample 26-# on p. GGG re%ie0s many concepts.

    he fundamental parameters of selecti%ity (E)' retention factor (k)

    and theoretical plates (?'O) can all be %aried to achie%e a

    separation.

    Selecti%ity

    heoretical lateslate Oeight

    Retention factor easiest 0ay to impro%e resolution

    #6

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    8 more general discussionK

    radient !lution in li!uid chromatography – a systematic %ariation

    of mobile phase composition to optimie k for a 0ide range of

    solutes.

    Temperature programming  in gas chromatography – a systematic

    %ariation of temperature to optimie k for a 0ide range of solutes.

    #G

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    @eneral applications of chromatography (Section 26>)

    Vualitati%e analysis

    • tR  only !ualitati%e information. ?o structural information.

    Strong indicator of presence of analyte' une!ui%ocal proof ofanalyte absence.

    • Wseful for separation prior to ac!uiring structural information

    using another techni!ue 0hich 0ould not be useful for a

    mi$ture.

    Vuantitati%e analysis

    • eak areas

    • Reproducible inHection %olumes (calibrations)

    ,nd of Chapter 26 !uestionsproblems

    #-9' 6-#=' #G-#P' 2#

    #N


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