Translator for HPLC HINTS and TIPS for Chromatographers

Showing posts with label Diameter. Show all posts
Showing posts with label Diameter. Show all posts

Saturday, January 29, 2022

Adjusting the HPLC Gradient Time For Changes in Column Diameter and/or Length (same particle size)

Changes to the column diameter (to scale the method up or down) can be calculated. For an established HPLC method using the same support type (same exact material and particle size) where the column dimensions and flow rate are known. Note: If only the diameter changes and the lengths remain the same (proper linear flow rates used in both cases), then the resulting gradient times will also be similar. If the column lengths change, then the gradient time will change.

Changes to the Gradient Time (Tg2) used for a second column which has a different diameter, "Dc2" and/or length, "Lc2" can be calculated if you know: 

  • Tg1 [Time, of initial Gradient on Column #1];
  • Tg2 [Time of second Gradient on Column #2];
  • Fc1 [Flow Rate of Column 1] ;
  • Fc2 [Flow Rate of Column 2];
  • Dc1 [Diameter of Column 1]
  • Dc2 [Diameter of Column 2];
  • Lc1 [Length of Column 1];
  • Lc2 [Length of Column 2].

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

 

Example: Initial Method utilizes a 4.6 x 150 mm, 5u column run at 1.00 mL/min with a 10 minute gradient program and we wish to transfer this gradient method over to a column with a 2.1 mm diameter (ID) x 100 mm column run at 200 ul/min.

   Tg2 = 10 x (1 / 0.2) x (2.12 / 4.62) x (100 /150)

   Tg2 = 10 x (5) x (4.41/21.16) x (0.67) 

   Tg2 =  50 x 0.208 x 0.67

   Tg2 =  6.97 minutes.

The gradient time used on the 2.1 x 100 mm column run at 0.200 mL/min would be ~ 7 minutes (vs 10 minutes on the 4.6 x 150 mm column at 1 mL/min).

 

NOTE: A note about optimized flow rates. If the Column PARTICLE SIZE changes, esp from greater than 3.5 u to less than 3.5 u, then the optimized flow rate may also change too. Please refer to my article; 

Saturday, January 9, 2021

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.

Saturday, April 25, 2020

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.


Saturday, July 12, 2014

USP Guideline Note: HPLC Column Diameter Changes to Maintain Flow Rate Linear Velocity


USP Allowed Variations in HPLC Column Diameter (*USP 32, Second Supplement, Dec 1, 2009). In the previous USP version, a change of up to 50% of the flow rate was allowed. This has been changed in the more recent version. A wide range of column diameter changes are now allowed, provided that the linear velocity is kept constant. *We addressed the effect of changing column diameter on flow rate in a previous blog post, but this time I have also expanded on the calculation by including the extra variable for column length (L1 and L2) as well.


*Adjusting the Column Flow Rate for Changes in the HPLC Column Diameter.

Linear Velocity Formula:

   New Linear Flow Rate2 = Flow Rate1 x (L2 x D22) / (L1 x D12)

Flow Rates are in ml/min.
L1 = Column Length (original) in mm.
L2 = Column Length (proposed) in mm.
D1 = Column Diameter (original) in mm.
D2 = Column Diameter (proposed) in mm.

Example #1:
Original column is a 150mm x 4.6mm (L x ID) used at 1.000 ml min. We would like to determine what the equivalent flow rate (F2) would be for a column which is 150mm x 2.1mm (L x ID) to maintain the same linear velocity. This is a proposed change in column diameter of > 50% so it would not have been allowed under the old guidelines. The newer guidelines take into account that with the same particle size, changing the column diameter will not change the chromatography if the linear velocity is maintained as before. Let’s calculate the new flow rate using the formula above.
1.000 x (150 x 2.12) / (150 x 4.62) = F2
                    1 x (661.50 / 3,174) = F2
                              0.208 ml/min = F2

Thursday, October 25, 2012

HPLC Capillary Tubing Connection Volumes:

The length and internal diameter of the HPLC interconnecting tubing used in your system really does matter. The total volume contained in the tubing can dilute your sample or separated peaks. This can effectively undue the work of separating the peak(s) on a column. Extra volume in the tubing can also have the effect of increasing the gradient delay factor for your method (the greater the volume of the tubing from the pump head to the column inlet, the greater the delay in the solvent mixture arriving at the column). In general, keep the the total delay volume as low as possible. This is accomplished by connecting the various modules together using the shortest lengths of tubing possible. For systems which use standard sized HPLC columns (e.g. I.D.'s of 3.0 to 4.6mm and lengths from 100mm to 300mm) the tubing internal diameter should be 0.17mm (0.007"). For systems which use very short, mini or micro bore sized HPLC columns (e.g. I.D.'s of 1.0 to 2.1 mm and lengths from 50mm to 250mm) the tubing internal diameter should be 0.12mm (0.005"). Looked at another way, if the total column volume is less than 750 ul, consider using the smaller internal diameter tubing (0.17mm) to reduce band broadening. 

Here are some tubing volumes to help you evaluate the effect changing the I.D. or length has on the tubing that you use.



I.D. (mm)
I.D. (inches)

ul / cm
ul / inch
0.12
0.005

0.127
0.323
0.17
0.007

0.249
0.632
0.25
0.010

0.507
1.288
0.51
0.020

2.026
5.146
1.02
0.040

8.103
20.581