Troubleshooting a GRADUAL HPLC PUMP PRESSURE INCREASE OVER TIME (When PURGING, DURING an ANALYSIS or when FLOW is DIRECTED TO WASTE)

A fully equilibrated column at a constant temperature and flow rate should result in a stable back-pressure over time (~1% variation). Have you observed slowly increasing HPLC system back-pressure readings, even when you are fully equilibrated and everything should be stable? Read on to find out why this may be happening...

First, you must know what are "normal" or expected values for:

• HPLC Pressure (and normal changes over time);
• Baseline changes (e.g. drift, equilibration or normal rise/fall);
• Peaks (e.g. Sample peaks vs. Valve position peaks, spikes or Noise);
• Retention time delays (due to a leak, gradient delay, fouled column etc).
  

  vs. those that result from an actual hardware faults. To operate any HPLC system, you must learn how to identify these. It will take many years of hands-on practical experience.

If you know what to look for, the HPLC system will provide you with clues when something is wrong. "Pressure" is one of those clues... Learn to always pay special attention to the system back-pressure and watch for signs of trouble. Pressure should change in a predictable way.

• HPLC system pressure is not a variable in HPLC method development, but it is an effect resulting from forcing liquid through a highly restricted flow path. 

Always monitor the HPLC system pressure under all conditions (e.g. analysis, washing columns, equilibration, flushing to waste). When the pressure changes, verify it changes in a predictable manner. Acceptable real-time System pressure depends on: (1) the flow rate; (2) the mobile phase composition; (3) the temperature; (4) the flow path selected (e.g. valve switching, running through the column or to waste). As the column becomes fouled over time, the pressure observed may also change (increase). 

• *COLUMN fouling is one of the most common reasons for the system back pressure to slowly rise over time (usually over weeks) for the same analysis method. Review the sample preparation, injection solvent choice, miscibility/precipitation and/or concentration levels to find the problem.
  

If you change the tubing connections or actuate a valve, (you change the flow-path in doing so), then the pressure observed may also change too. 

Let us consider what other areas of the HPLC system may change the system pressure.

Pump Filters: Most HPLC pumps have a small disposable outlet filter installed at or near the pump outlet line (Note: In the case of most Agilent brand HPLC pumps, a small PTFE filter may be found at the pump's outlet valve or inside of the prime-purge valve). This filter is designed to collect any piston seal debris or other large particulate contamination from entering the rest of the HPLC system's flow path (i.e. the injector, column, detector...). These small filters (~ 10 to 20um) collect and retain the debris inside the filter so it does contaminate or obstruct the flow path down stream. It is not designed to filter your mobile phase for you (You should have pre-filtered all solutions used in your HPLC). However, this accumulated debris slowly results in a partial obstruction of the flow path, increasing the overall system back-pressure. This may not be obvious to a new user running an analysis method, but the pressure increase due to the clogging filter will occur slowly over time, often masking the change. In a month, it may represent 10-20+ bars increase. In a clean system, if you redirect the flow from the column to waste, you should observe the system back-pressure drop to just a few bars (maybe close to or near zero, depending on the viscosity of the solvent and flow rate). You should know what the "normal" pressure is when the system is directed to waste for many commonly used solvents at typical flow rates. Knowing these values will help you troubleshoot many problems in the future.

• Example: With a new pump outlet filter installed in most 'standard' HPLC pumps, pure ACN solvent directed to waste, running at 1.00 mL/min may show a reading of about 7-bars. If one week or one month later the reading changes to 15-bars, then the filter is clogged with debris and should be replaced. *Perform this type of check on your HPLC pump every day. What is the "normal" back-pressure reading when you direct your typical mobile phase to waste ? What is the value for pure Methanol, ACN, Water, IPA etc. ? It will be different for each HPLC system.
  
• Do you use Aqueous Mobile phase? If so, please filter the final solution through a 0.45 micron (or 0.22u) filter before use. We have observed many laboratories using non-HPLC grade water (e.g. Distilled Water or Sterile Water) resulting in plugging of these pump outlet filters. Always use fresh HPLC grade water (i.e. RO Water) for RP analysis and when preparing buffers.
  

While equilibrating a mobile phase for an analysis the system pressure should stabilize at some point, and also return to the same pressure range after the analysis is complete and the system is allowed to fully equilibrate. As a matter of fact, you should be monitoring the system pressure and detector output after each analysis and wash to determine when the system is ready for the next injection. If the system does not stabilize over a reasonable amount of time, but instead shows a gradual increase in pressure (over the course of minutes, hours or one day), then this may be a sign that their is a partial obstruction inside the HPLC system. While there are many places a partial obstruction could occur (e.g. the injector or column), one of the most common and easy to check for areas is within the pump's outlet filter. Check by diverting the flow to waste and record the system back-pressure. If it is higher than what is expected, the outlet filter should be replaced first. Note: Other problems such as clogged mobile phase solvent pickup-filters or even worn piston seals may also show similar pressure increases too, but most of the time the pump's outlet filter is the cause.

Conclusion: 

• REPLACE the disposable outlet filter found in the HPLC PUMP EVERY MONTH. 

Yes, every single month. These are inexpensive disposable filters designed to protect the flow path of your HPLC system. This is one of the least expensive consumable parts that can have the greatest impact on overall HPLC performance. Stock plenty of these filters and learn how to replace them. Your baselines will be more stable allowing for better quantitation, higher sample through-put, less down-time and less service.

1. For many of the the Agilent 1050, 1100, 1200 and some 1260-series modules using the classic style pump heads, P/N  01018-22707 is suggested ($8.50 USD each). *Please refer to your pump manual to find the correct number for your brand and model of HPLC pump.
   

HPLC Injection Volume: What Should I Dilute It In and How Much Sample Can I Inject?

HPLC Injection Volume and Solution Tips: For best results, the choice of injection solution and amount must be carefully selected. Successful HPLC & LC-MS methods shall observe good chromatography fundamentals. 

• How much sample can I inject on my column? The HPLC injection volume must be carefully selected to avoid overloading the column and also maintain good quality peak shape (Good peak shapes, Gaussian are ideal, are preferred for accurate integration and quantitation). Too large an injection volume and the peak shape may be broad and result in co-elution, column fouling and/or poor reproducibility. Too low an injection volume may lead to no-detection, poor reproducibility and/or inaccurate integration. Choose an appropriate Injection Volume (and concentration) that is appropriate for the COLUMN and Method used (their is no universal answer as they depend on YOUR column and method). Start, by learning what your HPLC column's "dead" volume is (Determining the HPLC Column Volume Link here).  As a general guideline, keep the volume low and inject no more than ~ 1% of the column's dead volume (maximum for most columns is ~ 1 to 2 %, but if the peak shape is excellent, sometimes up to 3% is possible). The actual capacity will be different for different column support types, dimensions etc, so it is best not to guess. Use a volume that is within the injector's most accurate range (for most auto-injector's, the optimal range may be found away from the extreme limits, often between 20% and 80% of capacity, but please refer to the documentation for your injector for specifics). Once an acceptable volume has been identified, then you can vary the concentration to find the best sample load for your analysis conditions.
  
• NOTE: To find the true and correct answer to "How Much Can I Inject (Load) onto my column" requires that you conduct a 'Loading Study' [To run a loading study you will prepare a batch of samples of increasing concentrations levels which can be individually injected, then evaluated on YOUR column, using YOUR method. This is how we determine the MAXIMUM amount possible which can be loaded and still provide good quality results. All other methods are just estimates.

• What should I dilute my sample in? Dilute samples using the mobile phase solution (in the case of gradient compositions, use the "initial" mixture to avoid precipitation). Your sample(s) should be FULLY dissolved in the mobile phase and not in a solution that is chemically incompatible with the flow path or is "stronger" in elution strength than the initial mobile phase. The diluent should not interfere with the analysis or loading of the sample onto the column. Example: If your method is 100% aqueous, then do not inject the sample(s) in a solution that contains organic solvent (i.e. ACN). *Peak fronting, splitting, precipitation and/or distortion (broad shapes) may result from using a diluent that is stronger than the mobile phase.
  

• My sample solution is cloudy or has "stuff" floating in it. ONLY Inject sample solutions which are 100% fully dissolved, in-solution. Injecting samples which have precipitated out of the solution OR which are not fully dissolved in solution (100%) may result in line obstruction, clogging, column fouling and invalid data collection/results. Take the time to find a mobile phase that your sample fully dissolves in to avoid problems. Troubleshooting and repairing an HPLC system for clogs and/or column contamination is both time consuming and expensive.

• Filter sample solutions to prevent clogs and reduce column fouling. Make sure the sample is first fully dissolved in the solution and do not use a 'filtering' step as a cheat to remove undissolved sample. Filtering is used to protect the system from particles that we can not easily observe which may clog the system. Please refer to the article; "Syringe Filter Selection for HPLC or LC/MS samples"; for more information on filter selection.

• Improve Injector reproducibility: Leave the vial cap slightly loose so it does not make a full seal. *This prevents a vacuum forming inside the vial, resulting in injection volumes which may be lower than the selected volume. "Loose caps" can greatly improve accuracy and reproducibility when larger OR multiple volumes are injected from the same vial. Additionally, if the total sample vial volume is very small (i.e. ~ 200 ul), utilize a vial insert of the correct dimensions and type for improved accuracy. When using vial inserts, check that the needle height is correct for the vial insert used.  Do not use the entire sample volume! Never use more than 90% of the vial volume or air may be aspirated resulting in invalid data collection.
  

• Prevent sample carryover problems by regularly inspecting and servicing your HPLC injector (Manual valve and Autoinjector maintenance tips will be found at this LINK). Replace common wear parts such as rotary valve seals and needle seats on a regular basis (Do not "clean" and re-use seals). Carryover troubleshooting Tips will be found at this LINK.
  

•  Calibration Volumes for Quantitation: When creating a new calibration table for a group of standards, use the SAME VOLUME for each standard and vary the concentration ("calibration level") only with each vial. As we have seen, injection volume is a variable which may change peak shape and integration accuracy. If you inject the same volume of liquid for all standards (and samples too), then you remove this variable. Using the SAME injection volume for all standards and samples helps to reduce problems. *Note: Thought it may not be approved, if you thoroughly test varying the injection volume across the range used for the calibration to demonstrate no undesirable changes to peak shape, loss of resolution/separation, and it is reproducible and accurate for the analysis method, then you can vary injection volume. Link to: HPLC Calibration Article.
   

 

Please note that these are general guidelines only and the mode of chromatography (e.g. NP/RP/HILIC/SEC), scale (prep vs. analytical) and/or specific method used must be optimized for best results. Follow these basic guidelines to prevent analysis problems, prolong column and system lifetimes and increase reproducibility and accuracy.

Speed Up HPLC Analysis Time Using Higher than "Normal" Flow Rates with SMALLER Particles

Column efficiency (as described by Van Deemter) in HPLC is largely a function of dispersion, column particle size and the flow rate of the mobile phase.After a column has been selected, the Flow rate should be optimized for all methods (start with the nominal linear velocity). Once the optimum flow rate range is achieved, little to no advantage in analysis time or solvent savings is found by increasing it (as column efficiency normally decreases at higher flow rates).

From a practical point of view, columns packed with porous 3 to 5 micron diameter supports show only small differences in efficiency as the flow rate is varied above the initial, optimum level (linear velocity). Running at too low a flow rate serves no purpose, increases dispersion/diffusion and delays the peaks from eluting off the column in a timely manner. Higher rates often decrease column efficiency. Once the flow rate has been set within the 'optimized zone', it no longer becomes a variable in HPLC method development. 

Many ~ 3 micron supports do demonstrate some ability to maintain optimum efficiency at slightly higher flow rates (e.g. with linear velocities > 1 mm/second), but significant advantages in using higher flow rates to save time and solvent are not obvious unless the particle size is reduced further. 

With the much smaller diameter ~ 2 micron particles, column efficiency can be further optimized using higher than "normal" flow rates on standard columns. Columns packed with these smaller porous particles show optimized flow rates at much higher linear velocities (e.g. 2x normal or ~ 2 mm/second for standard analytical sized columns, but experiment using 2 to 5x the normal linear velocity to compare results). 

• For example: If your method currently runs at 1.000 mL/min, you may be able to run the same method at 2.000 mL/min OR if your method currently runs at 0.200 mL/min, you may be able to run the same method at 0.400 mL/min or higher using one of the 2.5 or smaller particles. 

This increased efficiency coupled with proper optimization of the HPLC's flow path to reduce dispersion, allows for a doubling of the flow rate without a loss of efficiency (or loss of resolution). Depending on the scaling used, a two-fold savings in analysis time over conventional methods using larger particles may be observed. There may be a corresponding increase in system back-pressure too (* if only the particle size is changed and the column dimensions are unchanged). *Some of this can be countered using proper scaling of the column dimensions too). 

NOTE: Do Not Optimize HPLC Methods for "Pressure". This goes against basic chromatography fundamentals. Back Pressure is a result of pushing mobile phase through the tubing and column and is not a method development tool or variable. As mobile phase composition changes, so does the pressure. Flow rates should be stable. Work within a pressure range that is high enough to permit the pump(s) to function properly, but below the point in which frictional heating interferes with the method.

Optimization of method resolution, overall analysis time and solvent usage should be considered. The increased efficiency gained from the smaller particle size supports also allows for scaling down the column dimensions (i.e. length, ID or both) too, though a trade-off between overall column efficiency vs. analysis time and/or too high a back-pressure must be addressed to optimize the method and meet the application goals.

Summary: HPLC analytical column flow rate is often ignored in method development (* esp after it has been adjusted to the initial optimum, often 1.0 mL/min for a 4.6 mm ID column), but IF you are using porous HPLC particles that are smaller than 3.5 micron diameter, please be sure to investigate if you should re-optimize the flow rate used in your method / application so you can take advantage of any increases in column efficiency and/or scaling. As with ALL applications using these very small particles, pre-optimization of the HPLC flow path is often needed to achieve many of the available benefits.

HPLC Column Cross-Sectional Area and Scaling

Here is a simple formula to use when scaling up or down Internal Column Diameter to maintain retention values (under constant linear velocity). Flow rate must be adjusted to account for any changes made to the column's cross-sectional area. We usually refer to these types of changes as the "Scaling Factor". To determine the scaling factor, we need to know the internal column diameters of the two columns we are scaling from (actually, we need to know the radius, but once we have the diameter, we simply divide the diameter by 2 to obtain the radius). *In this discussion, changes in cross-sectional area are the only parameters we are concerned with as column length does not affect scaling.

• Scaling Factor = (S);
• Column #1 Radius =  (R1);
• Column #2 Radius =  (R2).

     S = R2² / R1²

Example #1: 250 x 4.60 mm column scaled down to a 250 x 2.10 mm column. 

          Answer = 0.208. 

• If the original flow rate was 1.000 mL/min, the the scaled down flow rate would be 0.208 of the original or 0.208 mL/min for the 2.10 mm ID column. *For practical use and application, we often use either 200 ul/min or 210 ul/min to simplify the value.

Example #2: 250 x 4.60 mm column scaled up to a 250 x 10.00 mm ID semi-prep column.

          Answer  = 4.726. 

• If the original flow rate used was 1.000 mL/min with the 4.60 mm ID column, then we would increase the flow rate to 4.726 mL/min on the 10.00 mm ID column to maintain the same relative velocity (and relative retention). *For practical use and application, we often use 5 mL/min to simplify (round off) the value. 

Notes:

1. Flow rate optimization should always be carried out by running a standard at different flow rates and plotting the plate height (N) vs the flow rate. Test flow rates that are slightly below the predicted linear velocity and up to 2 times higher than that rate to find and optimize the flow rate for your sample (it must be determined through experimentation for your specific method). 
    
2. HPLC Columns packed with sub 2 micron supports may have optimum flow rates 2 to 5 times more than the predicted std linear flow rate so actual testing is critical to determining the most efficient flow rate. I recommend optimizing the flow rate used with analysis methods which use any particles which are 2.5 microns or smaller in diameter.
   

Changing from Reverse Phase (RP) to Normal Phase (NP) Mode (or vice versa) in your HPLC System

Two closely related HPLC questions which have the same answer are commonly found in my email folder each week. Both questions deal with concerns about switching mobile phase solutions used in HPLC. Here are the two questions with an explanation regarding what information is needed to answer them:

1. Can I switch-over an HPLC system which has reverse phase (RP) columns and RP solvents installed to one with Normal Phase (NP) columns and solvents (e.g. such as a C18 column with water and acetonitrile switched over to a silica column with Heptane and IPA )?
2. What is the best way to switch or change-over from a reverse phase (RP) mobile phase made up of water with buffer and acetonitrile to one that is all organic for normal phase (NP)?

To answer these questions we first must review the specified materials used in the HPLC system that are in contact with the mobile phase solutions (the 'wet' parts). 

If you have a system rated for use with most RP solutions, then you will want to verify that the same system is also rated for use with the NP liquids you are considering too (Refer to the manufacturer's product manual or specification sheet). Some HPLC systems may require no changes at all, while others may not be compatible for use. Some systems have seals, tubing and/or valve components that may NOT be chemically compatible with the proposed solvents. Use with incompatible solvents (or additives) may result in damage or destruction of the system. The instrument manufacturer will often provide the needed information inside the specific instrument's Operator / User Manual (*always contact the manufacturer if you have any questions regarding the safe use of the system). In some cases, the vacuum degasser, pump piston seals, tubing, injector seals and/or other parts may need to be replaced with chemically compatible parts before use.  The newer seals or parts may also have different operational limits (e.g. pressure) or specifications than the ones they replace. For example, the maximum pressure ratings with the different parts may be different (some RP to NP conversions result in much lower max pressure ratings and reduced part lifetimes). Many of the newer vacuum degasser units may have no chemical compatibility with the proposed HPLC solvents or additives. Proceed with caution. Check and verify compatibility first.

Anytime you switch from one liquid type to another, you must insure that the new solution is fully soluble (miscible) with the old solution being displaced from the system. The solutions used must be miscible and must not result in precipitation of any contents or contamination of the flow path (and/or plugging of lines) may result. 

Basic guidelines: 

• If any buffers or additives have been used, begin by flushing the system with the same solution, but without the buffer or additives dissolved. We want to remove those buffers and salts first. Flush the entire flow path. Flushing out these salts will greatly reduce the chances of system contamination or plugging. In the case of aqueous buffer solutions, initially flushing with ultra pure water will remove them. 
• Next, if the new solvent is not fully miscible with the old solvent (e.g. Water to Hexane...), then flush the system with an intermediate solvent that is fully soluble with both liquids (in the Water to Hexane example, IPA would be an excellent choice). In fact, for many aqueous to normal phase conversions, IPA provides the miscibility needed to change back and forth from a highly polar aqueous mode to a non-polar organic mode. *Consult a table of Solvent Physical Properties for guidance
  

Summary: 

Verify instrument chemical compatibility and the possible need to replace any seals or parts.

With the proper precautions and checks, many research grade analytical HPLC system can be routinely switched between RP and NP modes.

To switch from NP to RP mode (or RP to NP), flush the system of any salts, buffers or additives, verify liquid miscibility of the solvents, then use an intermediate solvent if needed to change over. 
A table of commonly used HPLC Solvent Properties will help you determine which liquids can be used as intermediate solvents for this purpose.

HPLC PEAK Fronting and Tailing, Common Reasons For It

All users of HPLC need to know and be familiar with the correct terms used to describe non-Gaussian shaped peaks. Two of the most common undesirable peak shapes, peaks that show "Fronting" and peaks that show "Tailing" indicate problems with the HPLC method.  A quick refresher on why you may observe an HPLC peak front or tail on the chromatogram follows. 

Peak FRONTING: First, let us define what peak fronting looks like. The leading edge (front) of the peak is vertical, straight up and non-Gaussian in shape. This sharp increase in signal is easy to spot. 

Common Reasons for Peak FRONTING:

• Poor sample/peak capacity. In other words, too low a K prime (not enough retention on the HPLC column) resulting in no chromatography taking place. To solve this problem you must develop a proper HPLC method which first retains the compound(s) of interest, holds them long enough to obtain an acceptable K prime and resolve them away from other peaks, then elutes them off the column.

• Injection Solution Too Strong:Your sample(s) should be dissolved in the mobile phase and not in a solution that is "stronger" in elution strength than the mobile phase. Example: If you method is 100% aqueous, do not inject the sample in a solution with organic solvent. Follow fundamental good chromatography guidelines.

• Column Fouling / Overloading of sample. When the HPLC column is overloaded with sample, the peak shape will show fronting. Decrease the injection volume and/or concentration, as appropriate, in 10x graduations until the peak shape is normal.

• Saturation of the Detector: Just as with overloading the column the peak shape may change, overloading the detector's measuring range may also result in saturation of the signal and loss of accuracy. Decrease the injection volume and/or concentration, as appropriate, in 10x graduations until the peak shape is normal and back on-scale.

Peak TAILING: First, let us define what peak tailing looks like. The trailing edge (tail) of the peak slowly drops off towards the baseline and  is non-Gaussian in shape. For those with GC experience it appears similar to a peak that "bleeds" and continues to interact with the column for an extended period of time.

Common Reasons for Peak TAILING:

• Flow path Diffusion (from extra-delay volume). Poorly swaged fittings/connectors, a column with a void, incorrectly sized capillary connection lines may all contribute to peak tailing. Optimize the flow path, column and connections.

• pH dependence for ionizable compounds. If the sample is easily ionized and the difference between the pka of the sample and the mobile phase is less than 2 pH unit, tailing may result. Being sure to work within a safe pH range for your column, increase or decrease the mobile phase pH to be > 2 pH units away from the sample's pka to reduce tailing.

• Type 'A' silica or heavy metal contamination of the support. Many older style column supports did not use ultra-pure, heavy metal free packing material. These material often interacted with the sample on the column resulting in changes in retention, The use of more modern type 'B' or 'C' packings has eliminated many of these problems.

• Residual silanol groups present on support. As with the earlier type 'A' supports, non fully end-capped supports with residual silanol groups often resulted in secondary, extended retention effects. Use of more modern, fully end-capped, ultra-high purity packing materials (and/or mobile phases which better address these residual groups) often allow Gaussian peak shapes without the need for many additives.

• Column Fouling / Overloading of sample. When a column is not washed of all retained material after each analysis, it may build up over time and change the surface chemistry of the support. This may lead to changes in retention, especially delays in both binding and elution. Wash, regenerate or replace the column to solve.

You may also be interested in reading a related article; "Two Common HPLC Problems and their Causes (Sudden changes to either the HPLC Backpressure or Peak Shape)".

HPLC to UHPLC Conversion Notes (Gradient Time Program Adjustment)

In an earlier article we discussed how to adjust the flow rate, injection volume and column dimensions when scaling an HPLC method UP or Down. The formula's needed to do this are fairly simple. If we adjust for changes in the column dimensions or flow rate, what types of changes are needed to adjust the gradient time? The formula to make this adjustment is also very simple. Here is the information you need.

Terms Used in Formula:

Time in minutes, Gradient (Initial): Tg1

Time in minutes, Gradient (New):   Tg2

Flow Rate in mL/min, Column (Initial): Fc1

Flow Rate in mL/min, Column (New): Fc2

Column Diameter, mm (Initial): Dc1

Column Diameter, mm (New): Dc2

Column Length, mm (Initial): Lc1

Column Length, mm (New): Lc2

• Tg2 = Tg1 x (Fc1/Fc2) x ((Dc2²) / (Dc1²)) x (Lc2 x Lc1)

Here is an example problem to solve for. 

If we start with a flow rate of 1.000 mL/min (Fc1) on a 4.6 x 250 mm column with 5 micron support (Dc1 & Lc1) and have an initial Gradient Time of 10 minutes (Tg1), then what would the new gradient time be if we switched to a sub 2 micron support in a 2.1 x 50 mm column (Dc2 & Lc2) at 0.200 mL/min (Fc2)? 

To solve the equation we will plug-in the values for each part of the equation separately, then multiply them to obtain the result.

  (Fc1/Fc2):    1.000/0.200 = 5

  (Dc2²) / (Dc1²)  4.41/21.16 = 0.21

   (Lc2 x Lc1) = 50/250 = 0.20

  Tg2 = 10 x 5 x 0.21 x 0.20 

  Tg2 = 2.10 (or 2.10 minutes)

If a 2.1 x 50 mm column was substituted for the 4.6 x 250 mm AND the flow rate was changed from 1.000 mL/min to 0.200 mL/min, then the initial programmed gradient time of 10 minutes would be changed to 2.1 minutes

Number of theoretical plates (N), Calculation Formulas

Number of theoretical plates (N):

Often used to quantify the efficiency (performance) of a column (HPLC or GC). "Plates" are expressed per meter of column length and should be calculated based on a retained peak with ideal peak shape or symmetry. 

   N = Plates; tr = Retention Time of Peak; w = Peak width;  w_0.5 = Peak width measured at half height.

Two popular formulas are:

Tangent: USP (United States Pharmacopeia / ASTM)

Best for Gaussian peaks. Peak width is often determined at 13.4% of the peak height (w). Inaccurate for peaks which are non-Gaussian, poorly resolved or tail.

   N = 16 (tr / w)²

Half Peak Height: (European Pharmacopeia)

For peaks which are less Gaussian in appearance, using a slightly different formula with the peak width measurement made at the half-height (W_0.5). Less accurate for peaks which are poorly resolved or tail.

   N = 5.54 (tr / w_0.5)²

 

• Other formulas, not included, for calculating Plate numbers include: Half Width, Variance Method, Area / Height & Exponential Modified Gaussian (EMG).
• Caution. HPLC column "Plate" values should not be used for a final determination of efficiency unless you are comparing all results on the same exact HPLC system, which is setup and run under identical conditions each time. Since the result is based on many possible variables, including how your HPLC system is plumbed (dwell volume & tubing ID), the peak's Kprime and symmetry, the detector used, sampling rate, integration quality, flow cell volume, flow rate, actual column used (to name a few), it can easily be manipulated to be very large or small.