81
MISS. RAHIMAH BINTI OTHMAN (Email: [email protected]) Chapter 6: Chapter 6: chromatography chromatography

MISS. RAHIMAH BINTI OTHMAN (Email: [email protected]) Chapter 6: chromatography

Embed Size (px)

Citation preview

Page 1: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

MISS. RAHIMAH BINTI OTHMAN(Email: [email protected])

Chapter 6:Chapter 6:chromatographychromatography

Page 2: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

COURSE OUTCOMESCOURSE OUTCOMES

CODESCRIBE and DISCUSS the basic principles and applications of chromatography process. DIFFERENTIATE the types of separation in chromatography. DEVELOP basic design of chromatography.

Page 3: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

Basic principles and applications of

chromatography process.

Types of separation in chromatography.

Basic design of chromatography.

OUTLINESOUTLINES

Page 4: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

Introduction

Chromatography – is a sorptive separation process useful in separation & purification.

Commonly used in separation of biologics and fine & specialty chemicals.

A specialized unit operation of adsorption-based separations.

Purpose Of Chromatography

Analytical - determine chemical composition of a sample.

Preparative - purify and collect one or more components of a sample.

Introduction

Chromatography – is a sorptive separation process useful in separation & purification.

Commonly used in separation of biologics and fine & specialty chemicals.

A specialized unit operation of adsorption-based separations.

Purpose Of Chromatography

Analytical - determine chemical composition of a sample.

Preparative - purify and collect one or more components of a sample.

BASIC PRINCIPLES AND APPLICATIONS OF CHROMATOGRAPHY PROCESS.

Page 5: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

CLASSIFICATION OF CHROMATOGRAPHY

TECHNIQUES

Based on nature of mobile phase:

1. Liquid Chromatography (LC)

2. Gas Chromatography (GC)

3. Supercritical Fluid Chromatography (SFC)

Based on nature of mobile phase:

1. Liquid Chromatography (LC)

2. Gas Chromatography (GC)

3. Supercritical Fluid Chromatography (SFC)

Page 6: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

STATIONARY PHASE

The stationary phase consists of semi-permeable, porous beads

with a well-defined range of pore sizes.

Solid phase is ‘stationary’ because it is packed in a fixed column.

The semi-permeable porous beads are crosslinked polymers;

Degree of crosslinking is controlled carefully to yield

different pore sizes.

The stationary phase is said to have a fractionation

range (due to the different pore sizes), meaning that

molecules within that molecular weight range can be

separated.

Page 7: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

MOBILE PHASE Liquid phase is often flowing past the solid

phase is referred to as ‘mobile phase’.

The mobile phase contains a mixture of solutes.

Small solutes will diffuse in and out of the pores;

Their path through the column is longer

The elution time will be longer

Liquid phase is often flowing past the solid phase is referred to as ‘mobile phase’.

The mobile phase contains a mixture of solutes.

Small solutes will diffuse in and out of the pores;

Their path through the column is longer

The elution time will be longer

Page 8: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

TYPES OF CHROMATOGRAPHY

1. Ion Exchange Chromatography

2. Reverse Phase Chromatography

3. Hydrophobic Interaction Chromatography

4. Affinity Chromatography

5. Size Exclusion Chromatography

1. Ion Exchange Chromatography

2. Reverse Phase Chromatography

3. Hydrophobic Interaction Chromatography

4. Affinity Chromatography

5. Size Exclusion Chromatography

Page 9: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

ION EXCHANGE CHROMATOGRAPHY

ION EXCHANGE CHROMATOGRAPHY

resin (the stationary solid phase) is used to covalently attach anions or cations onto it.

Solute ions of the opposite charge in the mobile liquid phase are attracted to the resin by electrostatic forces.

resin (the stationary solid phase) is used to covalently attach anions or cations onto it.

Solute ions of the opposite charge in the mobile liquid phase are attracted to the resin by electrostatic forces.

Page 10: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography
Page 11: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

TYPES OF ADSORBENTS

Silica-based resins

Polymer-based resins

Ion exchange resins

Silica-based resins

Polymer-based resins

Ion exchange resins

Page 12: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

ADSORBENT TYPE : RESIN

Two basic resin materials : polymer and silica

Silica resin – have hydrophobic coating and are used for reversed phase chromatography

Polymer resin – used in aqueous applications and are conjugated with ion exchange, hydrophobic interaction, or affinity-type ligands

Surface area is generally to 100 – 1500 m2/g

Page 13: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

SILICA BASED RESINUncoated silica

compatible with water or organic solvent

serves as a good reversible adsorbent for hydrophilic compounds

organic solvent used as mobile phase, and water is added as the chromatography progresses

not typically stable at extremes of pH

available with high surface area and small particle size; being very rigid; does not collapse under high pressures

denature some proteins and irreversibly bind others

used for purification of many commercial biotechnology products

Page 14: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

Coated silica

particles coated with long-chain alkanes

has a high affinity for hydrophobic molecules, which increases as the chain length of the bonded alkane increases.

Many varieties of the same chain length phase – polymerized, simple monolayer and end-capped

SILICA BASED RESIN

Page 15: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

POLYMER BASED RESIN

frequently used in industrial applications : high stability and low cost

larger (10-100 µm) than silica-based resins (1-25 µm)

less rigid

not generally suitable for high pressure applications (>4 bar)

Page 16: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

Two synthetic polymer that are commonly used: styrene divinylbenzene and polyacrylamide

Styrene divinylbenzene

very stable at pH extremes

support for ion exchange chromatography because of its stability and rigidity

Polyacylamide

used less often, not used as a polymer solid but as hydrogel and used as a size exclusion gel

The crosslinking in polyacrylamide can be controlled by the amount of bisacrylamide added in suspension mixture

POLYMER BASED RESIN

Page 17: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

Natural polymers

Agarose and dextran

used in hydrogel for a low pressure chromatography resins.

Naturally hydrophillic

compatible with protein and other biomaterials

Agarose

can be crosslinked to form a reasonably rigid bead that is capable of tolerating pressures up to 4 bar.

Dextran

less rigid and used in size exclusion

can be formed with very large pores

capable of including antibody molecules and virus particles

Page 18: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

ION EXCHANGE RESINS

Resins that have been derivatized with an ionic group

most commonly used ionic groups:

i) sulfoxyl (SO3-) - most acidic

ii) carboxyl (COO-)

iii) diethylaminoethyl (DEAE)

(2C2H5N+HC2H5)

iv) quaternary ethylamine (QAE) (4C2H5N+) - most basic

Page 19: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

ION EXCHANGE RESINCation exchangers

The acidic ion exchanger

carry a negative charge

attract positive counterions

Anion Exchangers

the basic ion exchangers

Carry a positive charge

Attract negative counterions

Page 20: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

REVERSE PHASE CHROMATOGRAPHY

- Employs a hydrophobic phase bonded to the surface of the resin – typically silica based

- hydrophobic solutes bind in higher proportion in reversed phased,

- hydrophillic solutes bind in higher proportion in normal phase

Page 21: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

- Hydrophobic phases that are bonded to silica are typically actyil (C8), actyldecyl (C18), phenyl, and methyl (C1)

- the different chain lengths and densities of the different bonded phases lead to more or less hydrophobicity

- Bare silica participate in separation by interacting with hydrophilic molecules, or hydrophilic domains of large molecules

Page 22: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

- typically used for protein separations- Employs derivatized polymer resins, with phenyl, butyl, or octyl ligand groups

- Protein adhere to the hydrophobic surface under high salt conditions and redissolve into the mobile phase as the salt concentration is reduced

- differs from reversed phase in that the mobile phase is kept aqueous (polar), and the salt concentration is used to effect the partitioning to the surface

- HIC is sensitive to pH, salt used, buffer type and temperature.

HYDROPHOBIC INTERACTION CHROMATOGRAPHY(HIC)

Page 23: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

AFFINITY CHROMATOGRAPHY

This is the most selective type of chromatography employed.

It utilizes the specific interaction between one kind of solute molecule and a second molecule that is immobilized on a stationary phase.

For example, the immobilized molecule may be an antibody to some specific protein.

When solute containing a mixture of proteins are passed by this molecule, only the specific protein is reacted to this antibody, binding it to the stationary phase.

This protein is later extracted by changing the ionic strength or pH.

Page 24: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography
Page 25: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography
Page 26: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography
Page 27: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

Immobilized Metal Affinity Chromatography (IMAC)

- Some proteins have high affinities for specific metals such as nickel and copper.

- The affinity may either be structural (metalloproteins) – require metal centers for their biological activities

- or based on the content of specific amino residues such as histidine and cysteine

- immobilize metal ions onto polymer resins (IMAC resins)

- Used to purify proteins that have one of two characteristics mentioned above

Page 28: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

Size Exclusion Chromatography (SEC)- also called gel permeation or gel filtration chromatography

- separates solutes on the basis of their size

-no binding between the solutes and the resin

-The pores are normally small and exclude the larger solute molecules, but allows smaller molecules to enter the gel, causing them to flow through a larger volume.

Page 29: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

- resins are hydrophilic polymer gels with a broad distribution of pore sizes

-molecules larger than the largest pores in the gel cannot enter the gel and are eluted first,

- smaller molecules enter the gel to varying extents, depending on their size and shape, and retarded on their passage through the bed

-used for removing small molecules from protein solution

Page 30: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography
Page 31: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

Basic principles and applications of

chromatography process.

Types of separation in chromatography.

Basic design of chromatography.

OUTLINESOUTLINES

Page 32: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

Oven

Detector

Injection port

Nitrogen cylinder

Column

Recorder

EquipmentEquipment

Page 33: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

Columns

• cylindrical, vertical vessels design to contain resin particles between 2 and 10 µm in diameter

Page 34: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

Chromatographic separation involves the use of a stationary phasestationary phase and a mobile phasemobile phase.

Components of a mixture carried in the mobile phase are differentially attracted differentially attracted to the stationary phaseto the stationary phase and thus move through the move through the stationary phase at different stationary phase at different ratesrates.

Chromatographic separation involves the use of a stationary phasestationary phase and a mobile phasemobile phase.

Components of a mixture carried in the mobile phase are differentially attracted differentially attracted to the stationary phaseto the stationary phase and thus move through the move through the stationary phase at different stationary phase at different ratesrates.

COLUMNS

Page 35: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

T=0

T=10’

T=20’

InjectorInjector DetectorDetector

MostMost Interaction with Stationary Phase Interaction with Stationary Phase LeastLeast

Flow of Mobile PhaseFlow of Mobile Phase

Page 36: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

In gas chromatography the mobile phasemobile phase is an inert carrier gasinert carrier gas

and the stationary phasestationary phase is a solidsolid or a liquid liquid

coated on a solidcoated on a solid contained in a coiled column.

In gas chromatography the mobile phasemobile phase is an inert carrier gasinert carrier gas

and the stationary phasestationary phase is a solidsolid or a liquid liquid

coated on a solidcoated on a solid contained in a coiled column.

CHROMATOGRAPHY

Page 37: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

STATIONARY PHASES

Solid phase

Most uses for separation of low MW compounds and gases

Common SP: silica, alumina, molecular sieves such as zeolites, cabosieves, carbon blacks

Liquid phase

Over 300 different phases are widely available

grouped liquid phases Non-polar, polar, intermediate and special phases

Polymer liquid phase

Solid phase

Most uses for separation of low MW compounds and gases

Common SP: silica, alumina, molecular sieves such as zeolites, cabosieves, carbon blacks

Liquid phase

Over 300 different phases are widely available

grouped liquid phases Non-polar, polar, intermediate and special phases

Polymer liquid phase

Page 38: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

38

STATIONARY PHASE POLYMERS

Siloxane Arylene

Polyethylene glycol

Page 39: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

LIQUID PHASES Non-polar phase

Primarily separated according to their volatilities

Elution order varies as the boiling points of analytes

Common phases: dimethylpolysiloxane, dimethylphenylpolysiloxane

Polar phase Contain polar functional groups

Separation based on their volatilities and polar-polar interaction

Common phases: polyethyleneglycol

Intermediate phase

Page 40: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

BONDED AND CROSS-LINKED SP

Bonded and cross-linked SP provides long term stability, better reproducibility and performance.

Polymer chains

Cross-linking

Bonding

Fused silica tubing surface

Page 41: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

COMMON STATIONARY PHASE COATING FOR CAPILLARY

COLUMNComposition Polarity Applicaitons Temp limits

100% dimethyl polysiloxane (Gum)

Nonpolar Phenols, Hydrocarbons, Amines, Sulfur compounds, Pesticides, PCBs

-60oC to 325oC

100% dimethyl polysiloxane (Fluid)

Nonpolar Amino acid derivatives, Essential oils

0oC to 280oC

5% diphenyl 95% dimethyl polysiloxane

Nonpolar Fatty acids, Methyl esters, Alkaloids, Drugs, Halogenated compounds

-60oC to 325oC

14% cyanopropyl phenyl polysiloxane

Immediate Drugs, Steroids, Pesticides -20oC to 280oC

50% phenyl, 50% methyl polysiloxane

Immediate Drugs, Steroids, Pesticides, Glycols 60oC to 240oC

50% cyanopropylmethyl, 50% phenylmethyl polysiloxane

Immediate Fatty acids, Methyl esters, Alditol acetates

60oC to 240oC

50% trifluoropropyl polysiloxane Immediate Halogenated compounds, +Aromatics

45oC to 240oC

Polyethylene glycol – TPA modified

Polar Acids, Alcohols, Aldehydes acrylates, Nitriles, Ketones

60oC to 240oC

Polyethylene glycol Polar Free acids, Alcohols, Ethers, Essential oils, Glycols, Solvents

60oC to 220oC

Page 42: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

42

Page 43: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

COLUMN DIMENSIONS

Column Length: 10 – 60 m

Column Internal Diameter: 0.10 – 0.53 mm

Stationary Phase Film Thickness: 0.10 –

0.25 m

Page 44: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography
Page 45: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography
Page 46: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

Two Stage Two Stage Tank RegulatorTank Regulator

GC Flow ControllerGC Flow Controller

Page 47: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

InjectorInjector DetectorDetector

Column in OvenColumn in Oven

Page 48: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

Detector

Most common detection techniques: pH, conductivity and light absorbance

Conductivity and pH : to check the performance of the gradient, the loading of the column and the regeneration

Light absorbance (280, 254, 229, 214 nm, depending on the application) : used to monitor the effluent for evidence of the target molecules

Other common detection methods in use in large-scale chromatography: refractive index, electrochemical detection & light scattering

Page 49: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

Chromatography system fluidics

Pumps and tubing are the most important.

Pumps: typically positive displacement pumps – have a low shear, so do not pose a problem for sensitive biomolecules.

comes in two varieties: peristaltic and rotary lobe

fluid is pumped downflow through chromatography columns.

Page 50: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

PARTICLE SIZE AND PARTICLE SIZE AND PRESSURE DROP IN FIXED PRESSURE DROP IN FIXED

BEDSBEDS Pressure drop is given by the Darcy equation:

Δp = pressure drop over column length L;

µ = viscosity of the mobile phase;

v = superficial velocity;

k = constant

(26)

Page 51: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

From Blake-Kozeny equation, k gives a function of resin particles size and void friction

(27)

Page 52: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

Darcy equation applies for rigid particles, such as silica.

When the stationary phase particle size is decreased, the pressure drop in the column increases as the inverse square.

These increases requires pressure additional power in pumping, as well as more specialized requirements for the construction of the columns and its seals

Page 53: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

CHROMATOGRAPHY COLUMN DYNAMICSPlate models

Plate models seek to explain the band broadening observed in chromatography by approximating a chromatograph as a series of well-mixed tanks at equilibrium.

The terminology comes from analysis of distillation, where

plates are sometimes used to hold vapor and liquid in contact to approach equilibrium at various temperatures and compositions.

Just as distillation is often performed in a packed column but the concept of a “theoretical equilibrium plate” remains, so has it also come to symbolize resolving power of a chromatography column.

Page 54: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

Figure 7.6 Properties of a Gaussian peak

CCmaxmax = maximum peak height; = maximum peak height;

σσ = = standard deviation; standard deviation; wwii = peak width at inflection points; = peak width at inflection points;

wwhh = peak width at half-height; = peak width at half-height;

w =w = peak width at base (base intercept); peak width at base (base intercept); ttRR = average retention time. = average retention time.

Page 55: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

Height of the equivalent theoretical plate (HETP), H:

L = length of the column,

N = number of plates

Plate models

7.4.1

Page 56: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

From Gaussian peaks: the plate count (N) can be expressed as the squared average retention time divided by the variance of the peak

w = peak width at the basetR = average retention time.

7.4.2

Page 57: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

Peak width is used in the definition of resolution, Rs, which is measure of the extent of separation of two peaks in a chromatography

tR1, tR2 = average retention time for separands 1 and 2

w1,w2 = peak width (time) for separands 1 and 2

7.4.3

Page 58: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

CHROMATOGRAPHY COLUMN MASS BALANCE WITH NEGLIGIBLE

DISPERSION Mass balance for chromatography:

7.33

ci = concentration of separand i in the mobile phase = [C]i,qi = concentration of separand i in the stationary phase averaged over an adsorbent particle = [CS]i, ε = void fraction (mobile phase volume/total column volume), commonly 0.3 to 0.4 in fixed beds, v = mobile phase superficial velocity (flow rate divided by the empty column cross-sectional area, Q/A),Deff = effective dispersivity of the separand in the column, t = time, x = longitudinal distance in the column; x = 0 at column inlet

Page 59: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

CHROMATOGRAPHY COLUMN MASS BALANCE WITH NEGLIGIBLE

DISPERSION Using an equilibrium isotherm relationship in the

form qi =f(ci)(Figure 1), Equation (7.3.3) becomes:

Where qi’(ci) is the slope of the equilibrium isotherm at concentration ci.

Page 60: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

•If we let:

•Then Equation (7.3.6) becomes:

•Thus, the expression for ui given by Equation (7.3.7) is the effective velocity of component i through the packed column.

7.3.7

7.3.8

Page 61: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

EXAMPLE 1

Chromatographic Separation of Two Solutes

Two solutes have linear equilibrium constants of Keq,1 = 7.5 and Keq,2 = 7.8, respectively. For a flow

rate of 1.5 liter/min, in a column 63 cm in diameter, with a void fraction of 0.33, and local equilibrium, what column length is required to separate the two solutes by 5 min?

Page 62: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

Solution

The effective velocity of solute i for negligible dispersion is given by Equation (7.3.7) as

For linear equilibrium,

Page 63: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

The superficial velocity is

For solute 1, the effective velocity is therefore;

This same equation gives u2 = 0.08657 cm/min for solute 2.

Page 64: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

Translating solute velocities into elution times for a constant distance traveled (L),

Solving for L gives;

** Note that four significant figures are used to calculate u1 and u2 to avoid error in calculating L.

Page 65: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

CHROMATOGRAPHY SCALEUP

Chromatography scaleup algorithms accounts for changes in:

- bed height and diameter,

- linear and volumetric flow rate

- and particle size.

Yamamoto et al. have developed the following proportionality for resolution, Rs, of proteins in linear gradient elution ion exchange chromatography and hydrophobic interaction chromatography:

(31)

Page 66: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

Dm = diffusion coefficient of the protein in solution;

L = column length;

g = slope of the gradient (change in concentration of gradient per volume of gradient);

V = column volume;

V0 = column void volume;

u = interstitial fluid velocity;

dp = particle diameter

Page 67: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

The definitions can be made:

Q = inlet flow rate;

ε = column void friction;

A = column cross-sectional area

7.8.14

(31)

Page 68: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

Thus, for scaleup with constant resolution from scale 1 to scale 2 for the same product and the same column void fraction, the scaleup equation is:

Thus, as the particle size increases on scaleup, the flow rate relative to the column volume must decrease and/or the gradient slope must decrease to maintain constant resolution, which seems correct intuitively.

7.8.15

Page 69: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

easy to develop lab scale processes that use the same resin and same gradient for the commercial process scale

In practice only the ration between column volume and flow rate need be addressed

When the bed height can be maintained on scaleup, the mobile phase linear velocity remains the same, and the column is simply scaled by diameter.

7.8.16

Page 70: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

EXAMPLE 2

Scale up of a Protein Chromatography

A column 20 cm long, with an internal diameter of 5 cm, gives sufficient purification to merit scaleup. The column produces 3.2 g of purified protein per cycle, and a cycle takes 6 h, from equilibration through regeneration. You want a throughput of

10 g/h. What are the new column’s dimensions if linear velocity is held constant?

Page 71: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

Solution

For scale up when the linear velocity is held constant, the column diameter is increased, and the column height is maintained the same.

If the linear flow rate is held constant, then the cycle time cannot be altered.

Thus, the scaled up column must produce

6 h/cycle x 10g/h = 60g/cycle.

Page 72: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

Since the flow rate is proportional to the throughput of protein,

From Equation (7.8.16), the scaleup relationship when the gradient and the particle size are not changed upon scaleup, and since L1= L2,

Page 73: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

where D1 and D2 are the column diameters for columns 2 and 1, respectively.

Since D1 = 5.0 cm, we obtain

Page 74: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

EXAMPLE 3

Scaleup of Protein Chromatography Using Standard Column Sizes

Consider the case given in Example 2. Available standard column diameters are 20 and 25 cm. What flow rates and bed depths would apply to each of these columns?

Page 75: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

Solution

The column volumes for both columns are still 18.75 times that used in the laboratory

column. Thus,

For a column 20 cm in diameter,

Page 76: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

and for column the 25 cm in diameter,

Note that:

the gradient is also expressed in column volumes.

The total gradient volume, that is, the total volume of eluent used to go from the leanest mobile phase condition to the richest, is expressed in terms of column volumes, and this is held constant on scaleup.

Page 77: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

EXAMPLE 4

Consideration of Pressure Drop in Column Scaling

Determine the minimum diameter possible for the columns analyzed in Example 3.The flow rate is 40 ml/min. The column pressure should not exceed 300 kPa (28.8 psig), the maximum solution viscosity is 1.1 cp, and the void fraction in the column is 0.35. The resin particle size is 100 µm.

Page 78: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

Solution

Pressure drop can be calculated using Darcy’s law [Equation 26] by knowing µ, v, k and L. We can calculate k from the Blake—Kozeny equation (7.6.2):

Page 79: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

The column volume must be 7359 ml (from Example 3), and the flow rate is 40 ml/min times the scaleup factor of 18.75 (= 750 ml/min).

We calculate the pressure drop for the column 20 cm in diameter and 23.4 cm in length, which would give the higher pressure drop of the two standard column sizes (20 and 25 cm):

Page 80: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

From Equation (26) the pressure drop is

Thus, the standard 20 cm diameter column would operate at well below the maximum allowable pressure.

Page 81: MISS. RAHIMAH BINTI OTHMAN (Email: rahimah@unimap.edu.my) Chapter 6: chromatography

THANK YOU