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Questions and Answers
What does the capacity factor (k) measure in chromatography?
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?
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?
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?
How is the column efficiency expressed in chromatography?
What is the formula for calculating the number of theoretical plates (n) in a chromatography setup?
What is the formula for calculating the number of theoretical plates (n) in a chromatography setup?
What does the 'plate' theory of chromatography primarily describe?
What does the 'plate' theory of chromatography primarily describe?
Which factor is crucial for achieving high resolution in chromatography?
Which factor is crucial for achieving high resolution in chromatography?
Which of the following components of a chromatogram indicates the presence of a particular compound?
Which of the following components of a chromatogram indicates the presence of a particular compound?
What information can be derived from the Van Deemter equation in the context of HPLC?
What information can be derived from the Van Deemter equation in the context of HPLC?
In the context of a HPLC operation, what role does the mobile phase 'A' play when combined with 'B'?
In the context of a HPLC operation, what role does the mobile phase 'A' play when combined with 'B'?
What is a common application of gas chromatography (GC)?
What is a common application of gas chromatography (GC)?
What parameter is critical to ensure consistency in chromatographic results?
What parameter is critical to ensure consistency in chromatographic results?
Which type of chromatography is best suited for analyzing non-volatile compounds?
Which type of chromatography is best suited for analyzing non-volatile compounds?
What is the relationship between efficiency and the length of the column in chromatography?
What is the relationship between efficiency and the length of the column in chromatography?
Which term represents the distance required for a single partition step to occur in a chromatography column?
Which term represents the distance required for a single partition step to occur in a chromatography column?
What does band broadening in chromatography primarily result from?
What does band broadening in chromatography primarily result from?
In the Van Deemter equation, what does the term 'B' refer to?
In the Van Deemter equation, what does the term 'B' refer to?
How does a higher linear velocity (u) of the mobile phase affect band broadening?
How does a higher linear velocity (u) of the mobile phase affect band broadening?
Which factor does NOT contribute to resistance to mass transfer in stationary phase?
Which factor does NOT contribute to resistance to mass transfer in stationary phase?
What effect does a thinner and uniform stationary phase have on band broadening?
What effect does a thinner and uniform stationary phase have on band broadening?
Which of the following terms describes the effect of different paths taken by solute molecules in the column?
Which of the following terms describes the effect of different paths taken by solute molecules in the column?
What happens to the efficiency of chromatographic separation when longitudinal diffusion is decreased?
What happens to the efficiency of chromatographic separation when longitudinal diffusion is decreased?
Which of the following factors is a part of the Van Deemter equation that contributes to band broadening?
Which of the following factors is a part of the Van Deemter equation that contributes to band broadening?
Which term significantly contributes to band broadening at low flow rates?
Which term significantly contributes to band broadening at low flow rates?
What is baseline resolution achieved when Rs is greater than or equal to?
What is baseline resolution achieved when Rs is greater than or equal to?
In the Van Deemter equation, which term corresponds to the eddy diffusion?
In the Van Deemter equation, which term corresponds to the eddy diffusion?
Which type of gas is most commonly used for good efficiency without reducing flow rate in GC?
Which type of gas is most commonly used for good efficiency without reducing flow rate in GC?
What characteristic of the stationary phase contributes to increased column efficiency?
What characteristic of the stationary phase contributes to increased column efficiency?
What does the selectivity factor (α) describe in chromatography?
What does the selectivity factor (α) describe in chromatography?
To increase retention factor (k) in gas chromatography (GC), what is a recommended action?
To increase retention factor (k) in gas chromatography (GC), what is a recommended action?
Which factor is more influential in enhancing resolution than efficiency in chromatographic processes?
Which factor is more influential in enhancing resolution than efficiency in chromatographic processes?
What effect does using capillaries with smaller internal diameters have in GC?
What effect does using capillaries with smaller internal diameters have in GC?
Which mobile phase has gained popularity in GC for high efficiency at high flow rates?
Which mobile phase has gained popularity in GC for high efficiency at high flow rates?
Flashcards
Capacity Factor (k)
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)
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)
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)
Void Volume (Vo)
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Retention Time (tr)
Retention Time (tr)
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Chromatogram
Chromatogram
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Retention Time
Retention Time
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Peak Area
Peak Area
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Plate Theory
Plate Theory
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Rate Theory
Rate Theory
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Van Deemter Equation
Van Deemter Equation
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Resolution
Resolution
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Efficiency
Efficiency
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Column Efficiency
Column Efficiency
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Height Equivalent of a Theoretical Plate (HETP)
Height Equivalent of a Theoretical Plate (HETP)
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Band Broadening
Band Broadening
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Rate Theory of Chromatography
Rate Theory of Chromatography
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Van Deemter Equation (for LC)
Van Deemter Equation (for LC)
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Eddy Diffusion Term (A)
Eddy Diffusion Term (A)
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Longitudinal Diffusion Term (B)
Longitudinal Diffusion Term (B)
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Resistance to Mass Transfer in Stationary Phase (Cs)
Resistance to Mass Transfer in Stationary Phase (Cs)
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Resistance to Mass Transfer due to Stationary Phase (Cm)
Resistance to Mass Transfer due to Stationary Phase (Cm)
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Practical Considerations for Column Efficiency
Practical Considerations for Column Efficiency
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Plate Height (H)
Plate Height (H)
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Van Deemter Plot
Van Deemter Plot
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A Term (Eddy Diffusion)
A Term (Eddy Diffusion)
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B Term (Longitudinal Diffusion)
B Term (Longitudinal Diffusion)
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C Term (Mass Transfer)
C Term (Mass Transfer)
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Resolution (Rs)
Resolution (Rs)
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Selectivity Factor (α)
Selectivity Factor (α)
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Retention Factor (k)
Retention Factor (k)
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Open Tubular (Capillary) GC
Open Tubular (Capillary) GC
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Advantages of Smaller Particles
Advantages of Smaller Particles
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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.
GC Chromatogram (Opiates and Related Substances)
- 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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