Source: Kerry M. Dooley and Michael G. Benton, Department of Chemical Engineering, Louisiana State University, Baton Rouge, LA
Processing of biochemicals involves unit operations such as crystallization, ultracentrifugation, membrane filtration, and preparative chromatography, all of which have in common the need to separate large from small molecules, or solid from liquid. Of these, crystallization is the most important from a tonnage standpoint. For that reason, it is commonly employed in the pharmaceutical, chemical and food processing industries. Important biochemical examples include chiral separations,1 purification of antibiotics,2 separation of amino acids from precursors,3 and many other pharmaceutical,4-5 food additive,6-7 and agrochemical purifications.8 The control of crystal morphology and size distribution is critical to process economics, as these factors affect the costs of downstream processing operations such as drying, filtration, and solids conveying. For more information about crystallization, consult a specialized textbook or a Unit Operations textbook.9
The crystallizer unit (Figure 1) enables study of: (a) the effects of key parameters, such as supersaturation and cooling/heating rates, on solids content, morphology and crystal size distribution; (b) and the on-line control of crystallization processes. Supersaturation can be controlled by altering conditions such as agitation rate and temperature. The different classifications of crystallization include cooling, evaporative, pH swing and chemical modification. In this experiment,an offline microscope will measure from crystals ranging in size from 10-1000 μm, a typical size range for biologicals.
Figure 1: P&ID schematic (left)and picture (right)of Crystallizer. Please click here to view a larger version of this figure.
This experiment will demonstrate a "chemical modification",or "pH-swing" crystallization, to generate salicylic acid (SAL) (precursor of aspirin) crystals from the rapid reaction of aqueous solutions of basic sodium salicylate (NaSAL), which are basic, and sulfuric acid (H2SO4) at anywhere from 40 - 80°C.11
Na+SAL + 0.5 H2SO4 SAL (ppt) + Na+ + 0.5 SO42-
The byproduct sodium sulfate remains soluble. The apparatus consists of two feed tanks, three variable speed (peristaltic) pumps, the crystallizer (stirred tank to approximate uniform temperature and concentration, ~5 L), a circulating bath for temperature control, power controller, product tank, and a makeup tank for feed regeneration with NaOH solution (if desired). Samples will be analyzed by a UV-Vis spectrometer for the residual soluble salicylate ion, and the salicylic acid crystal product will be dried and weighed.A pH probe can be used to determine steady-state when reaction conditions are altered.
A mixed-suspension, mixed-product-removal (MSMPR) crystallizer is analogous to a continuous stirred-tank reactor - perfect mixing of both solid and liquid phases is assumed. Industrial crystallizers seldom (if ever) approach MSMPR behavior, but the concept is useful in bench- and pilot-scale units. This is because it provides an easy way to estimate key parameters such as growth rate, G, and nucleation rate, B0. Both existing crystals and other solid surfaces, such as the agitator, catalyze nucleation. The number density, n, of the crystals is a probability density with respect to L, the primary crystal dimension. Therefore, n dL/(Σn dL) represents the fraction of crystals oflength L to L+dL. In standard texts it is shown that for an MSMPR crystallizer, the solution of the general population balance model for n is:
(1)
where B0 is the crystalnucleation function in mols/vol/time, and G is the growth rate of crystals, dL/dt. Equation (1) predicts an exponential distribution for the number density produced in an MSMPR. Using the zeroth (related to crystal concentration) and first (related to crystal average size) moments of the distribution, B0 and G are:
(2)
(3)
where Cs is the concentration of solid crystals in the slurry, τ is residence time, which is approximately the liquid volume divided by the feed volumetric flow rate, and is the average length on a number basis, which is determined microscopically.
Therefore, for an MSMPR crystallizer, the growth and nucleation rates are determined by the normal control parameters (agitation rate, temperature, flow rates, etc.). However, the distribution should always be exponential, and any deviations from an exponential distribution represent imperfect mixing of either the solids or the liquid. The MSMPR (stirred tank) crystallizer is poorly suited to industrial crystallizations because it provides an exponential distribution of crystal sizes, whereas in most applications a relatively narrow, Gaussian, distribution is desired for product uniformity.Its study is relevant because: (a) it is almost always an element of a larger crystallizer design; (b) it is ideally suited for bench-scale and pilot-plant work because the degree of supersaturation and growth and nucleation rates can easily be extracted from the raw data; and (c) it is the easiest example for which geometry can be linked to crystal size distribution.
For constant temperature and agitator speed, both B0 and G are directly related to the supersaturation ΔC, which is the mass transfer driving force for crystallization:12
(4)
The powers b and g are system specific and can vary over a wide range (e.g., 1-7.2 for g).12
Organic (sodium salicylate, NaSAL) and acid (sulfuric acid, 0.25 M = 0.50 N) solutions will be fed to the crystallizer. Make sure to wear latex gloves when handling NaSAL, salicylic acid or their solutions, and the 0.25 M sulfuric acid.
The entire system is controlled from a PC using a commercial distributed controller with an interface similar to the one in Figure 1. All on-off or 3-way solenoid valves and controller set points can be operated and changed using this interface. A schematic shows trends of the analog values (flow rates, temperature) associated with the unit.
1. Starting up the Crystallizer
At the start of a run, all continuous controllers should be in manual mode, and all solenoid valves should be either closed (on-off) or in recycle (3-way) mode.
2. Operating the Crystallizer
3. Shutting Down the Crystallizer
4. Analysis
Dissolved NaSAL and salicylic acid concentrations can be measured simultaneously by UV/Vis spectroscopy.The absorbances of dissolved salicylate and salicylic acid can be assumed additive because the same chromophore is observed. Further instructions are included in Appendix A. The salicylic acid concentration can also be determined gravimetrically in units of kg/m3 slurry.
Figure 2 presents representative data that suggests modest deviations from the crystal size distribution of the MSMPR ideal even at relatively high speeds and low feed concentrations.
Figure 2. Crystal size distribution for 0.16 M NaSAL feed, 540 rpm, 60 ° C
The crystals that form from this experiment are typically needle shaped, and the length distribution can be determined microscopically. Sample lengths with size dimensions (in microns) of typical crystals are shown in Figure 3. The normal and preferred range of crystals is 100-1000 microns.
Figure 3. Magnified salicylic acid crystals. The sizes are in microns. Please click here to view a larger version of this figure.
Assuming the equations of the MSMPR crystallizer (1-4), and using a mass balance on salicylate, runs the concentration of solid crystals in the magma (CSAL), the residence times (τ), growth rate functions G, amounts of supersaturation in the aqueous phase ΔC on a molar basis, nucleation function B0, and the crystal yields on both a product and a feed basis were determined. The G-function was computed from Equation (3) using the size distribution. And the supersaturation and mass balance equations are:
(5)
(6)
where Q1 is the volumetric flow rate of the NaSAL solution, Qt is total volumetric flow rate, (CNaSAL)0 is the feed concentration of NaSAL in Q1, and CNaSAL and CSAL are the product concentrations of soluble salicylate and crystals, respectively. Ceq is the equilibrium (interfacial) concentration of salicylate, which was ~2.2 g/L over the temperature range used in this demonstration.
The yield was defined on a feed basis as:
(7)
And on a product-only basis as:
(8)
If the % error in the mass balance on salicylate is large, then it is likely that either CSAL or CNaSAL are in error, as both are difficult to measure accurately. By looking at the values of Y1 and Y2 (at which gives a more reasonable trend), the primary source of the error can be determined.
From the values for G and B0, the powers "g" and "b" in Equation (4) were estimated using linear regression. Franck et al. reports a power "g" of ~3 and "b" of ~6 for this system11 using highly sterile conditions and high agitator speeds. Determining the differences between the experimental powers "g" and "b" and those of Franck et al. is useful in identifying factors that might be influencing the growth and nucleation functions. Representative data for a 50°C crystallization with feed concentrations of 0.35 M (NaSAL) and 0.25 M (H2SO4) are shown in Table 1.
Table 1. Crystallization Data
Flow rate, mL/min | τ | ![]() |
CNaSAL | CSAL | Y1 | Y2 | |
NaSAL | H2SO4 | min | mm | mol/L | g/mL | % | % |
119 | 59.5 | 23.3 | 700 | 0.063 | 0.022 | 69 | 72 |
85 | 42.5 | 32.6 | 876 | 0.059 | 0.026 | 81 | 76 |
51 | 25.5 | 54.3 | 1190 | 0.055 | 0.026 | 81 | 77 |
These data were also used to solve for G and B0 and linear regression was performed to determine the powers "g" and "b" using the linearized Equation (4). Linear regression of the log functions (an example is shown in Figure 4) gave g = 1.1 and b = 2.4. While the trend in the powers (b about twice as large as g) was the same as observed in Franck et al., the powers themselves differed significantly, and the dependences on supersaturation ΔC were much smaller. This suggests that factors other than ΔC could be affecting the growth and nucleation rates, such as inadequate mixing, the relatively high pH's (for equimolar feeds the pH's are between 2.2-2.4), and ionic impurities introduced in the water (the municipal supply). These experimental powers would be used in any scale-up calculations, because other than ΔC, these factors would presumably be present in both the pilot-scale and industrial designs.
Figure 4. Linear regression of growth rate G as a function of supersaturation ΔC
This experiment demonstrated how to take raw concentration, flow and temperature measurements and use MSMPR theory to estimate the key parameters needed to design a large, complex crystallizer system. The critical role that residence time plays in obtaining high crystal yields and in controlling the average size of the crystals, was explored. Often there is an optimal residence time because very large crystals are seldom desirable. The same is true for mixing - mixing must be sufficient to keep the solid crystals from settling to the bottom, but at the same time the agitator speed is often a significant operating cost.
Some of the problems often experienced with this unit - partial blockages due to particle agglomeration, difficulties in obtaining uniform supersaturation due to imperfect mixing, and long times to reach steady state - are common to even well designed industrial crystallizers. This is why crystallizer designs seen in the manufacturers' literature are often amazingly complex.
This process is similar to crystallizations of other biologicals, such as L-ornithine-L-aspartate, which is used to treat chronic liver failure.5 The precursor L-ornithine hydrochloride costs >$300/kg and is difficult to recycle, so design for high crystal yields is critical. An example of an antisolvent, as opposed to pH-swing, biological crystallization is the refinement of danazol, a synthetic steroid used to treat endometriosis.13 Many drugs are hydrophobic with poor solubility in water. By dissolving the raw danazol product in ethanol and then re-crystallizing it by mixing with water, a purer and smaller particle size crystal product can be obtained. Crystallization of proteins is another important application, one example being lysozyme production.14
Industrial crystallizers can be designed to produce very narrow crystal size distributions through the application of fines removal (e.g., a pumparound heat exchanger that slightly raises temperature to dissolve the smallest crystals) and size classification (e.g., an "elutriation leg" that separates particles on the basis of their terminal velocities, collecting only the largest in the population). These design concepts were developed for inorganic salt crystallization but are now moving into the biological realm.
Materials List
Name | Company | Catalog Number | Comments |
Agitator, 150 W | Caframo | BDC 3030 | on reactor |
Circulating heater | Neslab | RTE 110 | 0-100°C, for reactor |
Peristaltic pumps (2) | Cole-Parmer | Masterflex L/S 7550-60, 1.6-100 rpm, 0.1 hp | For both NaSAL and H2SO4 feeds |
Centrifugal pump | Cole-Parmer | 7553-00, 6-600 rpm | For product recycle |
UV-Vis spectrophotometer | Ocean Optics | USB 2000 | For soluble NaSAL analysis |
UV-Vis power supply | Ocean Optics | DT1000 CE | For use with USB 2000 |
APPENDIX A – USING THE SPECTROMETER
Quantification is only possible if NaSAL/salicylic acid solutions follow the Beer-Lambert law (A is in the “linear region”). For the salicylate ion, this region is A < ~0.9 - 1. Given past results, this criterion suggests that NaSAL solutions MUST be diluted (with DI water) to 0.05 g/L or less for quantification. Then, the unknown solutions can be quantified by comparing to the absorbance of an appropriately diluted standard solution:
where C is concentration, A absorbance, “u” an unknown, and “s” a standard solution of NaSAL. Note that BOTH “u” and “s” must show absorbance inside the linear range.
In spectroscopy, the absorbance depends on two factors, the type of chemical and its concentration, and the path length in the fluid. Change the concentration by dilution.
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