Pharmaceutical Analysis Lecture 2: Chromatographic Theory

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Questions and Answers

What does the capacity factor (k) measure in chromatography?

  • The amount of time an analyte spends in the solvent
  • The ratio of retention time to void time for the analyte (correct)
  • The total volume of the solvent used
  • The efficiency of the chromatography column

If the void volume (Vo) of a column is 1 mL and the retention time (tr) for a compound is 6 minutes, what is the retention volume (Vr) if k is 5?

  • 9 mL
  • 5 mL
  • 6 mL
  • 7 mL (correct)

In a chromatography context, what does the term selectivity (α) refer to?

  • The overall efficiency of the chromatography column
  • The spacing between two peaks in a chromatogram (correct)
  • The total retention time of all compounds in the mixture
  • The amount of solvent used in the experiment

How is the column efficiency expressed in chromatography?

<p>In theoretical plates per meter (B)</p> Signup and view all the answers

What is the formula for calculating the number of theoretical plates (n) in a chromatography setup?

<p>n = 5.54 (tr/W1/2)2 (C)</p> Signup and view all the answers

What does the 'plate' theory of chromatography primarily describe?

<p>The efficiency of separation in chromatography. (A)</p> Signup and view all the answers

Which factor is crucial for achieving high resolution in chromatography?

<p>Column temperature. (B)</p> Signup and view all the answers

Which of the following components of a chromatogram indicates the presence of a particular compound?

<p>The retention time. (D)</p> Signup and view all the answers

What information can be derived from the Van Deemter equation in the context of HPLC?

<p>The optimal flow rate for maximum efficiency. (B)</p> Signup and view all the answers

In the context of a HPLC operation, what role does the mobile phase 'A' play when combined with 'B'?

<p>Provides the main solvent for dissolution of solutes. (C)</p> Signup and view all the answers

What is a common application of gas chromatography (GC)?

<p>Separation of opiates and related substances. (A)</p> Signup and view all the answers

What parameter is critical to ensure consistency in chromatographic results?

<p>Calibration of the detector. (B)</p> Signup and view all the answers

Which type of chromatography is best suited for analyzing non-volatile compounds?

<p>High Performance Liquid Chromatography (HPLC). (B)</p> Signup and view all the answers

What is the relationship between efficiency and the length of the column in chromatography?

<p>Efficiency is inversely proportional to column length. (C)</p> Signup and view all the answers

Which term represents the distance required for a single partition step to occur in a chromatography column?

<p>Height Equivalent of a Theoretical Plate (HETP) (B)</p> Signup and view all the answers

What does band broadening in chromatography primarily result from?

<p>Variability in time spent by individual molecules in the column. (B)</p> Signup and view all the answers

In the Van Deemter equation, what does the term 'B' refer to?

<p>Rate of diffusion of molecule in the mobile phase (A)</p> Signup and view all the answers

How does a higher linear velocity (u) of the mobile phase affect band broadening?

<p>It reduces the time analyte spends on the column. (B)</p> Signup and view all the answers

Which factor does NOT contribute to resistance to mass transfer in stationary phase?

<p>Nature of the mobile phase solvent (B)</p> Signup and view all the answers

What effect does a thinner and uniform stationary phase have on band broadening?

<p>It reduces the resistance to mass transfer. (D)</p> Signup and view all the answers

Which of the following terms describes the effect of different paths taken by solute molecules in the column?

<p>Eddy diffusion term (A) (B)</p> Signup and view all the answers

What happens to the efficiency of chromatographic separation when longitudinal diffusion is decreased?

<p>Efficiency increases. (C)</p> Signup and view all the answers

Which of the following factors is a part of the Van Deemter equation that contributes to band broadening?

<p>Eddy diffusion term (A)</p> Signup and view all the answers

Which term significantly contributes to band broadening at low flow rates?

<p>B term (A)</p> Signup and view all the answers

What is baseline resolution achieved when Rs is greater than or equal to?

<p>1.5 (C)</p> Signup and view all the answers

In the Van Deemter equation, which term corresponds to the eddy diffusion?

<p>A (C)</p> Signup and view all the answers

Which type of gas is most commonly used for good efficiency without reducing flow rate in GC?

<p>Helium (D)</p> Signup and view all the answers

What characteristic of the stationary phase contributes to increased column efficiency?

<p>Small, uniformly-shaped particles (D)</p> Signup and view all the answers

What does the selectivity factor (α) describe in chromatography?

<p>Separation of band centers (C)</p> Signup and view all the answers

To increase retention factor (k) in gas chromatography (GC), what is a recommended action?

<p>Change the temperature (D)</p> Signup and view all the answers

Which factor is more influential in enhancing resolution than efficiency in chromatographic processes?

<p>Increasing the capacity factor (D)</p> Signup and view all the answers

What effect does using capillaries with smaller internal diameters have in GC?

<p>Reduces transverse diffusion effect (A)</p> Signup and view all the answers

Which mobile phase has gained popularity in GC for high efficiency at high flow rates?

<p>Hydrogen (D)</p> Signup and view all the answers

Flashcards

Capacity Factor (k)

The capacity factor (k) measures how long an analyte stays within the column. It compares the retention volume or time of the analyte to the void volume or time.

Selectivity (α)

The selectivity (α) indicates how well the column separates two analytes, based on the ratio of their retention volumes or times.

Number of theoretical plates (n)

Number of theoretical plates (n) represents the efficiency of a chromatographic column. It indicates how well the column separates compounds based on their interactions with the stationary phase.

Void Volume (Vo)

The void volume (Vo) is the volume of the mobile phase outside of the stationary phase in a chromatographic column. It's the volume traversed by a non-retained solute.

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Retention Time (tr)

The retention time (tr) is how long it takes an analyte to pass through the column. It's the time between injection and detection of the analyte peak.

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Chromatogram

A graph that shows the separation of components in a mixture based on their retention times and peak areas. Each peak represents a different compound, and the area under the peak is proportional to the concentration of the compound.

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Retention Time

The time it takes for a compound to travel through the chromatography column and reach the detector.

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Peak Area

The area under the peak in a chromatogram, which is proportional to the amount of analyte in the sample.

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Plate Theory

A theory that describes the separation process in chromatography by dividing the column into theoretical plates, where equilibrium occurs between the mobile phase and the stationary phase.

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Rate Theory

A theory based on the kinetics of the separation process, taking into account the rates of mass transfer between the mobile and stationary phases.

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Van Deemter Equation

A mathematical equation that relates the efficiency of a chromatographic separation to the width of the peaks and the flow rate of the mobile phase. It can be used to optimize the separation process.

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Resolution

A measure of how well two compounds are separated in a chromatography experiment.

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Efficiency

The ability of a chromatographic system to separate different components in a mixture.

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Column Efficiency

A measure of column efficiency, calculated as the number of theoretical plates (Neff) or the height equivalent of a theoretical plate (HETP or H).

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Height Equivalent of a Theoretical Plate (HETP)

The length of column required for a single partition step to occur, calculated by dividing the column length (L) by the number of effective plates (Neff).

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Band Broadening

The spreading of a chromatographic peak, resulting in a wider peak shape.

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Rate Theory of Chromatography

A model that explains the factors contributing to band broadening in chromatography, accounting for the time required for analyte equilibration in the mobile and stationary phases.

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Van Deemter Equation (for LC)

An equation that describes the relationship between HETP (H) and the linear velocity of the mobile phase (u), considering various factors causing band broadening.

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Eddy Diffusion Term (A)

One of the terms in the Van Deemter equation, related to the random paths taken by molecules through the packed stationary phase, leading to band broadening.

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Longitudinal Diffusion Term (B)

A term in the Van Deemter equation, accounting for the diffusion of analyte molecules along the column length in the mobile phase, which contributes to peak broadening.

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Resistance to Mass Transfer in Stationary Phase (Cs)

A term in the Van Deemter equation, representing the resistance to the transfer of analyte molecules from the mobile to the stationary phase, contributing to band broadening.

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Resistance to Mass Transfer due to Stationary Phase (Cm)

A term in the Van Deemter equation, representing the resistance to the transfer of analyte molecules from the mobile phase to the stationary phase, caused by the diameter and shape of the stationary phase particles.

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Practical Considerations for Column Efficiency

The effectiveness of a column in separating components, affected by factors like diffusion coefficient of the analyte and the size and uniformity of the stationary phase particles.

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Plate Height (H)

A measure of column efficiency in chromatography. It represents the height of a theoretical plate, which is a hypothetical section of the column where separation occurs.

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Van Deemter Plot

A plot that shows the relationship between plate height (H) and the linear velocity of the mobile phase (u). It helps to understand the factors affecting column efficiency and optimize separation.

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A Term (Eddy Diffusion)

The term in the Van Deemter equation that represents the contribution of eddy diffusion to band broadening. Eddy diffusion occurs due to the different path lengths that molecules take through the packed column.

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B Term (Longitudinal Diffusion)

The term in the Van Deemter equation that represents the contribution of longitudinal diffusion to band broadening. Longitudinal diffusion occurs when molecules diffuse in the direction of flow, spreading out the band.

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C Term (Mass Transfer)

The term in the Van Deemter equation that represents the contribution of mass transfer to band broadening. Mass transfer describes the time it takes for molecules to equilibrate between the mobile and stationary phases.

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Resolution (Rs)

A measure of how well two components are separated in a chromatogram. A higher resolution indicates better separation between the peaks.

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Selectivity Factor (α)

A factor that influences the separation of components in chromatography. It describes the difference in retention times of two components relative to their average retention time.

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Retention Factor (k)

The time a component spends in the stationary phase relative to the time it spends in the mobile phase. A higher retention factor indicates greater interaction with the stationary phase.

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Open Tubular (Capillary) GC

A type of gas chromatography (GC) where the stationary phase is coated onto the inside of a long, narrow capillary tube. Open tubular columns offer high separation efficiency and fast analysis times due to their low resistance to flow.

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Advantages of Smaller Particles

The use of smaller particles in the stationary phase, which leads to:

  • Higher efficiency: Smaller particles allow for more frequent interactions between analyte molecules and the stationary phase, resulting in better separation.

  • Faster analysis: Less resistance to flow, leading to faster analysis times.

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Study Notes

Pharmaceutical Analysis Lecture 2: Chromatographic Theory

  • Recommended Texts:

    • Pharmaceutical Analysis by David G. Watson (various editions)
    • Quantitative Chemical Analysis by Daniel C. Harris (8th edition, 14 copies available in the Drill Hall Library)
  • Learning Outcomes:

    • Students should understand the information presented in a chromatogram.
    • Students should understand the plate theory of chromatography.
    • Students should understand the rate theory of chromatography.
    • Students should understand the Van Deemter equation's implications in High-Performance Liquid Chromatography (HPLC) and Gas Chromatography (GC).
    • Students should understand the significance of resolution in chromatography.

HPLC Chromatogram (Barbiturates)

  • Separation: Barbiturates were separated using high-performance liquid chromatography.
  • Column: Discovery C18, 15 cm × 4.6 mm ID, 5 μm particles.
  • Column Temperature: Ambient.
  • Mobile Phase: A mixture of methanol and water (45:55).
  • Flow Rate: 1 mL/min.
  • Injection Volume: 10 μL.
  • Detector: UV at 214 nm.
  • Separation: Opiates and related substances were separated using gas chromatography.
  • Column: 15 m × 0.25 mm × 0.25 μm Rxi-5ms
  • Additional Details: Included specific compounds like Hydrocodone, Diazepam, THC, Fentanyl, Codeine, Morphine, Oxycodone, Flunitrazepam, and Benzoylecgonine.

Chromatograms: Production and Information

  • Production: Chromatograms are generated by injecting a sample into a stream of mobile solvent. The components are separated based on their interactions with the stationary phase.
  • Information Gained: Chromatograms provide information concerning the retention volume/time, necessary for identification and to quantify different components

Chromatograms: Capacity Factor (k)

  • Definition: The capacity factor (k) measures the fraction of time an analyte spends in the stationary phase relative to the mobile phase.
  • Formula: k = (Váµ£ - Vâ‚€) / Vâ‚€ = (táµ£ - tâ‚€) / tâ‚€
    • Váµ£ = analyte retention volume
    • Vâ‚€ = void volume
    • táµ£ = analyte retention time
    • tâ‚€ = retention time of unretained compound

Chromatography: Selectivity (α)

  • Definition: Selectivity (α) is a measure of the separation of two peaks.
  • Formula: α = k(B) / k(A)
    • k(B) = capacity factor of component B,
    • k(A) = capacity factor of component A

Chromatography: Column Efficiency (n)

  • Definition: Measures the number of theoretical plates (n) in a column, correlating with the peak width. Efficiency is usually expressed in units of theoretical plates per meter [n x 100 / L].
  • Formula: n = 5.54 (t'/W½)²
    • t' = adjusted retention time
    • W½= peak width

Rate Theory of Chromatography

  • Description: A more detailed explanation of chromatographic processes, accounting for equilibration times between the mobile and stationary phases.
  • Factors affecting peak shapes: Equilibrium rate and paths in the column.

Van Deemter Equation

  • Purpose: Explains how various factors contribute to band broadening.
  • Components:
    • A = Eddy diffusion term (variation in path lengths).
    • B = Longitudinal diffusion term (diffusion of analyte).
    • C = Resistance to mass transfer in stationary phase.

Peak Characteristics & Band Broadening

  • Peak Asymmetry (A): Measure of peak shape, ideally close to 1.
  • Band Broadening: Occurs due to variations in movement times of individual molecules within the same compound.

Factors Affecting Column Efficiency

  • Stationary Phase: Thin, uniform coatings of small, regularly shaped particles improve efficiency.
  • Mobile Phase: High diffusion coefficient results in better efficiency.
  • Temperature: Higher temperatures generally improve efficiency in GC.

Resolution (RS):

  • Expression 1 Formula: RS = 2(tRB - tRA)/(WA + WB)
  • Baseline Resolution: When RS ≥ 1.5.
  • Expression 2 Formula: RS = 1.18(tRB - tRA)/(WA0.5 + WB0.5).
  • Effect on R: Efficiency increase improves resolution only by a 1.41 factor. Capacity factor changes have a stronger impact.

Resolution Equation:

  • Description: A fundamental equation for relating resolution to important column parameters (number of plates, selectivity factor, and retention factors)
  • Practical Implications: Increasing efficiency slightly improves the resolution, but altering retention factors will result in greater changes to resolution.

Practical Considerations:

  • Increasing 'k' in LC: Modifying the mobile phase composition.
  • Increasing 'k' in GC: Changing the temperature.

Resolution Example

  • Mobile Phase Changes in LC: Example details using adjusted water/acetonitrile ratios

Peak Asymmetry (AS)

  • Importance: Critical for proper peak analysis; relates to peak shape and symmetry.
  • Characteristics: Values of 1.0 to 1.05 are considered excellent, while values higher than 2.0 indicate unacceptable shape

Take Home Points

  • Chromatogram Information: Components' identification and quantification from retention/time data.
  • Chromatographic Theories: Understanding the fundamentals of plate and rate theories.
  • Van Deemter Equation: Recognizing its role in band broadening, and how factors like stationary phases, mobile phases and temperature affect column efficiency.
  • Resolution Significance: Understanding the importance of resolution, its formulas (expressions 1 and 2) and implications and examples for optimizing separations.

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