Guidelines for the use of UHPLC Instruments
|
|
- James Hodges
- 7 years ago
- Views:
Transcription
1 Guielines for the use of UHPLC Instruments Requirements for UHPLC instruments, metho evelopment in UHPLC an metho transfer from regular HPLC to UHPLC Authors: Dr. Davy Guillarme, Prof. Jean-Luc Veuthey Laboratory of Analytical Pharmaceutical Chemistry, School of Pharmaceutical Sciences, University of Geneva, University of Lausanne, Boulevar Yvoy 0, Geneva 4, Switzerlan - Phone: Fax: jean-luc.veuthey@unige.ch. INTRODUCTION Over the past few years, there has been tremenous interest in approaches to spee up an/or increase the resolving power of the analytical separation process, particularly with the evelopment of columns packe with porous sub-µm particles use in very high pressure conitions (namely UHPLC, for ultra high pressure liqui chromatography). Many laboratories want to transition some of their conventional HPLC methos to fast UHPLC methos, but their lack of experience sometimes acts as a eterrent to trying. In this white paper, we share our experience in HPLC-to-UHPLC metho transfer in the form of a tutorial introuctory guie to help those who want to try this new an exciting UHPLC methoology to improve their prouctivity. Figure : Columns packe with sub-µm particles: concept an interest It is well known in liqui chromatography that the use of small particle size results in higher plate numbers, as well as faster separations. These effects are ue to the fact that i) the chromatographic efficiency, N, is irectly proportional to the ratio of column length an particle iameter, L/ p an ii) the mobile phase linear velocity, u, is inversely proportional to the particle iameter, p. As illustrate in figure, for high throughput separations it is inee possible to maintain an equivalent efficiency between a 50mm column packe with 5µm particles an a 50mm column packe with sub-µm particles, while the analysis time is ivie by 9- fol. It is also theoretically possible to maintain the analysis time equivalent between a conventional HPLC columns an a 450mm column packe with sub-µm, but with an efficiency enhancement by 9-fol with the latter. - - Guielines for the use of UHPLC instruments
2 However, the particle size reuction also generates a high backpressure (> 400 bar) not compatible with conventional instrumentation. Therefore, to benefit from the full potential of columns packe with small particles, it is recommene to work with a chromatographic system that withstans pressures up to 600 an even 000 bar. By comparing the intrinsic performance of such packing size with other existing techniques, such as monoliths, fuse-core technology or high temperature liqui chromatography with conventional particle size, it is shown here that UHPLC, with a maximal pressure of 000 bar is a very attractive strategy (i.e. approach that generates the lowest analysis time for a given efficiency) in the range,000 to 80,000 plates. Only the monolithic approach performs better than UHPLC for efficiencies higher than 80,000 plates (such efficiency is however often beyon the nees of a conventional LC analysis).. Requirements for UHPLC Experiments.. UHPLC instrumentation To work with columns packe with small particles, a specialize chromatographic system is neee. First, this instrument shoul be able to withstan the very high pressures generate by small particles an this is generally achieve by extening the pressure capabilities of the pumping system an by improving the sample introuction evice to make it compatible with ultra-high pressures. Secon, the chromatographic system shoul also be aapte to operate in fast an ultra-fast moe with reuce column volumes. Inee, small iameter columns ( an. mm I.D.) limit the frictional heating (generate uner high pressure rops an high flow rates) an reuce the organic solvent consumption but require small extra-column volumes ue to etection, tubing, an injection volume (figure ). The following criteria have to be fulfille to perform efficient separations: The tubing volume shoul be reuce as much as possible. For this reason, the tubing length shoul be as short as possible an its iameter selecte as a compromise between an acceptable generate pressure an a low volume. For this reason, a system plumbe with I.D. stainless steel tubing an zeroea volume fittings is generally preferre for UHPLC experiments. tot tot column Injector Connection tubing σ = σ + σ inj col σ col Figure σ total et A Detector ext σ = σ + σ + σ B tubing The injection volume shoul be selecte in agreement with column geometry. A rule of thumb is to maintain the injecte volume between an 5% of the column ea volume. As most of the experiments carrie out in UHPLC are performe with a 50x. mm column (V 0 = 0 µl), the injecte volume shoul be inclue between an 5 µl, to limit ban broaening. In aition, a fast injection cycle time is manatory for analysis times lower than one or two minutes. Last but not least, the etector cell volume, time constant an acquisition rate shoul be carefully selecte. The etector use in UHPLC shoul ieally possess a low cell volume ( µl or lower) while the sensitivity shouln t be lowere compare to that of a conventional HPLC instrument. Detector time constant has to be fast enough (τ 00 ms) because peak withs are very small in UHPLC (only a few secons). Finally, the etector sampling rate must be sufficiently high to acquire a suitable amount of ata points across each peak (> 0 Hz). It is noteworthy to note that to reuce the importance of extra-column volumes an avoi an unacceptable loss in efficiency, chromatographic conitions leaing to high retention factors (k at least equal to 3) are often recommene in UHPLC (i.e. high σ² col values inucing lower influence of σ² ext ). However, ue to the very small column ea time in UHPLC (e.g. t 0 = 0.0 min for conventional UHPLC conitions with a 50x. mm,.9 µm columns operating at 600 µl/min), a high retention factor woul not be etrimental for the analysis time. As example, a retention factor of 5 in conventional HPLC leas to an analysis time of 0 minutes while it correspons to only minute in UHPLC. - - Guielines for the use of UHPLC instruments
3 The last critical parameter to perform ultra-fast separations in the graient moe is the well volume of the system which correspons to the time necessary for the graient to reach the column inlet. To work with ultra-fast separations, a small graient elay volume is require. With a large well volume, fast separations are compromise because an isocratic hol is generate at the beginning of the graient, inucing potential changes in selectivity an longer analysis times. To check the compatibility of an UHPLC instrumentation with a given column geometry, it is recommene to characterize the chromatographic system by etermining the extra-column an well volumes. For optimal compatibility with ultra-fast separations, the former shoul be lower than 0µL while the latter shoul be no more than a few hunre µl... Quality of mobile phase an buffers It is important to consier that the size of the frits an particles containe within UHPLC columns are much smaller than on regular HPLC packings. For example, the inlet frit pore size of an HPLC column is often equal to µm while it coul be equal to only 0. µm in UHPLC (this value strongly epens on the column provier). Therefore, small particles, potentially present within the mobile phase an which o not affect HPLC materials, can become critical in the UHPLC configuration. Therefore, it is important to check the absence of insoluble particles in the solvents an, for this purpose, several key rules have to be followe in UHPLC for the mobile phase preparation: Use only high grae organic solvents (ieally filtere through a 0. µm membrane) it is even possible to fin acetonitrile of UHPLC grae from several suppliers (Biosolve, JT Baker, Fisher Scientific, etc ) Use high quality salts to prepare buffere mobile phases The water shoul be ultra pure an filtere through a 0. µm membrane (Milli-Q system or similar high quality water is recommene) Be careful with the microbiological growth (particularly when using phosphate buffer): always use freshly prepare mobile phases Be vigilant with the cleaning of glassware an o not top-off the bottles. To limit the microbiological growth, the chromatographic system an columns shoul ieally be store with pure organic solvents (methanol or acetonitrile)..3. UHPLC columns One of the main criticisms mae by early UHPLC users has been the reuce lifetime of columns packe with sub-µm, compare to conventional columns. It is true that UHPLC columns are always expose to very high pressures, but the packing pressure has been increase proportionally. In our laboratory, we have observe that lifetimes of UHPLC an regular HPLC columns are comparable. However, column lifetime also epens on the number of injections, number of column volumes or perio of time use. With the latest generation of columns packe with sub-µm, commercialize by ifferent suppliers, it is possible to perform between 500 an,000 injections or even more on a single column. Such values correspon to about 5,000-0,000 column volumes, which are fully comparable with those obtaine on stanar HPLC columns. However, when consiering the corresponing perio of time, it is significantly reuce compare to conventional HPLC because of the higher throughput in UHPLC. For example, in a routine laboratory which performs a UHPLC analysis in to 5 minutes, one thousan injections can be performe in a very short perio of time. This time is significantly reuce compare to that using conventional instrumentation (0-fol longer) while a similar amount of work has been carrie out. In aition, the re-equilibrating time neee uring a UHPLC graient shoul be rastically reuce compare to the regular HPLC, to limit the number of column volumes percolate. Nevertheless, a real issue of UHPLC packing is linke to the very low volume of the column in conjunction with the high mobile phase linear velocity employe. Inee, it is not recommene to let the system Guielines for the use of UHPLC instruments
4 continue pumping without performing any analysis because the column lifetime can be rapily egrae (50 column volumes percolate through the column in only 0 minutes). 3. Metho Development in UHPLC The rules for eveloping a new metho in UHPLC are slightly ifferent from those of conventional HPLC because it is necessary to account for the backpressure constraint generate by the use of small particles. 3.. Choice of column imensions Depening on the supplier, it is possible to fin some columns eicate to UHPLC with internal iameters of,. an 4.6 mm. As iscusse previously, the 4.6 mm I.D. column is not of great interest because of the significant frictional heating generate by high mobile phase flow rates, generating a lack of repeatability of retention times an some potential ifficulties in transferring methos from conventional HPLC. In aition, the consumption of organic solvent is critical as the flow rate shoul be in the range 3-5 ml/min. Concerning the mm I.D column, the effect of frictional heating shoul be neglecte even at 000 bar but the compatibility between this column geometry an any UHPLC instrument is extremely critical (particularly for tubing geometry). Due to these statements, the. mm I.D. column shoul be consiere as optimal for UHPLC operation. Regaring the column length, it shoul be selecte accoring to the require efficiency (in isocratic moe) or peak capacity (in graient moe). It has to be note that there is no real limitation in UHPLC column length. Numerous suppliers propose some 50mm columns which can be couple in series using low volume tubing if an experiment has to be performe with very long columns. In the isocratic moe, it is well known from the basic equations of chromatography that efficiency is irectly proportional to the column length. Therefore, a 50x. mm,.9 µm column shoul generate aroun 0,000 plates, while the efficiency is increase to 0,000 an 30,000 plates with a 00 an 50x. mm,.9 µm column respectively. Therefore, the column length shoul be chosen accoring to the requirement of the separation an the longest column always provies the highest efficiency. However, with 50 mm or longer columns, the mobile phase flow rate shoul be aapte to avoi over-pressurizing the analytical system. In the graient moe, the relationship between column length an chromatographic performance (expresse as peak capacity in graient moe) is not trivial. In fact, the peak capacity epens both on efficiency an column ea time, but each to a ifferent extent. Therefore, the column length shoul be aapte accoring to the graient time an the longest column oesn t necessarily provie the highest peak capacity. It can be emonstrate that a 50x. mm,.9 µm column has to be selecte for graient times lower than 5 minutes. The 00x. mm,.9 µm column gives optimal performance for graient times between 5 an 0 minutes an finally, the 50x. mm,.9 µm column shoul only be use with graients longer than 0 minutes. 3.. Choice of mobile phase conitions In UHPLC, the mobile phase flow rate has to be selecte accoring to the Van Deemter curve (similarly to conventional HPLC) but also, accoring to the backpressure generate. For compouns with molecular weights in the range g.mol -, the optimal flow rate in isocratic moe for a. mm I.D. column packe with.9 µm particles is aroun µl/min. Due to the low mass transfer resistance generate by small particles (because of the reuce iffusion path), it is even possible to work up to 000 µl/min, with a limite loss in efficiency (aroun 0%). When ealing with larger molecules, the mobile phase flow rate shoul be reuce to µl/min ue to a reuction of iffusion coefficients. The rules in graient moe are ifferent, where the highest flow rate always provies the best peak capacity because it is epenent on the column ea time an, to a lesser extent, on efficiency. Therefore, the flow rate for graient UHPLC experiments shoul be elevate but at the maximum equal to 80-90% of the maximum pressure withstoo by the instrument. This solution is recommene to attain a sufficient level of robustness an to hanle unexpecte changes in column backpressure after hunres of injections Guielines for the use of UHPLC instruments
5 Regaring the mobile phase temperature, it coul be valuable to work in UHPLC at a mobile phase temperature of C instea of room temperature. With this strategy, the mobile phase viscosity is reuce an the backpressure iminishes by about 30% (at 50 C for an acetonitrile-water mobile phase) without affecting chromatographic performance. Finally, it is well known that the viscosity of acetonitrile-water hyro-organic mixtures is on average.5 to -fol lower than that of methanol-water. Therefore, in the case of metho evelopment, the initial choice for mobile phase is acetonitrile as it generates significantly lower backpressure an more possibilities in UHPLC compare to methanol (particularly for the choice of column length) Decision tree for metho evelopment On the basis of the above iscussion, it is possible to establish some generic conitions for the UHPLC metho evelopment: the column shoul be initially a C8 with geometry of 50x. mm,.9 µm operating at a temperature of C. The mobile phase shoul c onsist in a mixture of acetonitrile an buffer. It is generally better to begin the experiments in the graient moe at a mobile phase flow rate close to the maximal pressure accepte by the UHPLC instrument. Regaring the choice of graient time, it is extremely ifferent in UHPLC compare to regular HPLC. Therefore, table summarizes the optimal graient time for various sets of UHPLC conitions. Table : Calculate optimal graient time accoring to column geometry. Column geometry Flow rate Graient profile Optimal graient time 50x4.6 mm, 5 µm ml/min 5-95% 30 min 50x. mm,.9 µm 600 µl/min 5-95% 3.5 min 50x. mm,.9 µm ml/min 5-95%.0 min 50x. mm,.9 µm 600 µl/min 0-60%.0 min 00x. mm,.9 µm 300 µl/min 5-95% 4 min 00x. mm,.9 µm 300 µl/min 0-60% 8 min 50x. mm,.9 µm 00 µl/min 5-95% 30 min 50x. mm,.9 µm 00 µl/min 0-60% 7 min If the selectivity with the generic conitions previously escribe is not acceptable, it is possible to aapt various parameters (e.g. mobile phase ph, nature of the stationary phase an organic moifier). In UHPLC, the first parameter to change is the mobile phase ph, then the column chemistry an finally the organic moifier nature (because of the constraint in pressure with UHPLC). 4. Metho Transfer in UHPLC In various fiels of application (i.e. pharmaceutical, environment, foo, ), it is important to be able to to transfer existing methos (performe in conventional HPLC conitions) to faster separations involving the use of columns packe with sub-µm particles. As most of the proviers now offer equivalent stationary phases packe with 5, 3 an sub-µm particles, a geometrical transfer can be performe if the stationary phase chemistry remains ientical between the original an final sets of conitions. For this purpose, some rules have to be applie in both isocratic an graient moes Guielines for the use of UHPLC instruments
6 4.. Case of isocratic moe In isocratic moe, two important parameters have to be moifie, namely the injection volume an the mobile phase flow-rate. To avoi a etrimental extra-column ban broaening an maintain equivalent sensitivity, it is necessary to aapt the injection volume in line with the change of column imensions. In liqui chromatography, the injecte volume shoul represent only -5% of the column volume. The latter can be calculate simply from the column internal iameter ( c ) an length (L). Therefore, the injection volume is inepenent of the particle size an only proportional to the column volume. The new injecte volume (V inj ) can be etermine simply by maintaining the ratio of column ea volume an injecte volume constant between regular HPLC an UHPLC. Thus, the injecte volume in UHPLC (V inj ) can be calculate accoring to the following equation: c L Vinj = Vinj () L c In this equation, subscripts an are relate to HPLC an UHPLC column imensions, respectively. For example, from a conventional 50x4.6 mm, 5 µm column to an UHPLC 50x. mm,.9 µm column, the injecte volume shoul be ecrease by 4-fol. It can be note that larger injection volumes than preicte can be use to maximize sensitivity. However, the sample shoul be issolve in a solvent of weaker eluent strength than the initial mobile phase composition. This approach escribe as sample focusing (peak compression) allows the enrichment of the analytes on the top of the column. Regaring mobile phase flow rate, it shoul be aapte to be close to the optimal value of the Van Deemter curve representation (H=f(u)). In liqui chromatography, it is well-known that the mobile phase linear velocity (u) is irectly proportional to the square of column iameter an also epens on the particle size of the support. It is however, completely inepenent of the column length. For a successful metho transfer, it is manatory to maintain the prouct u* p constant, to take into account simultaneous changes in column iameter an particle size of the support. Therefore, for a geometrical transfer, the UHPLC flow rate (F ) can be calculate with the following equation: F = F () c c ² ² p p As an example, from a regular 50x4.6 mm, 5 µm column to a UHPLC 50x. mm,.9 µm column, the mobile phase flow rate shoul be ecrease by.8-fol. The expecte analysis time of the transferre metho (t ana ) is irectly proportional to the change in column ea time an can be estimate accoring to: t ana F c L = tana (3) F c L The expecte backpressure ( P ) can be calculate from the Darcy s law which shows that P is inversely proportional to p 3 an strictly relate to the column length: 3 L p P = P 3 (4) L p Guielines for the use of UHPLC instruments
7 Finally, the expecte solvent consumption of the transferre metho (V ) can be calculate by taking into account the change in column internal iameter, particle size an analysis time. V c p ana = V (5) c ² p t ana ² t Therefore, from a regular 50x4.6mm, 5µm column to an UHPLC 50x. mm,.9 µm column, the analysis time is reuce by 8-fol. It has also to be note that for the above-mentione transfer, the efficiency woul be ientical, while the backpressure shoul be 6-fol higher an the solvent consumption reuce by 4- fol. This shows the benefits of the UHPLC strategy but also emonstrates the nee to work with an instrument that withstans pressure higher than 400 bar. Table : Optimal conitions to work with 6 column geometries that provie a similar theoretical efficiency of 0,000 plates. Changes in analysis time, backpressure an solvent consumption were also inicate. Column geometry Injecte volume Mobile phase flow rate Change in analysis time Change in backpressure Change in solvent consumption 50x4.6 mm, 5 µm 0µL.00 ml/min x4.6 mm, 3.5 µm 3.3 µl.43 ml/min. x x4.6 mm,.9 µm 6.7 µl.63 ml/min 7.9 x x. mm, 5 µm 4. µl 0. ml/min x. mm, 3.5 µm.8 µl 0.30 ml/min. x x. mm,.9 µm.4 µl 0.55 ml/min 7.9 x Table summarizes the injecte volumes, mobile phase flow rates, analysis times, column backpressures an solvent consumption calculate with equations to 5 for various typical column geometries. It is possible to fin in the literature a quantity of applications showing the possibility to transfer isocratic HPLC methos to columns packe with sub-µm particles. For sake of clarity, only one example is reporte but the approach can be applie to a wie variety of compouns an matrices. Figure 3 presents a metho transfer from a conventional 50x4.6 mm, 5 µm column to a 50x. mm,.9 µm column. Both columns provie an equivalent efficiency of aroun 0,000 plates (similar L/p ratio). As shown on the chromatograms, efficiency, selectivity an resolution remain equivalent for the separation of seven common anxiolitic agents. After ajustment of mobile phase flow rate, the analysis time coul be ecrease by a factor of 7 ( vs. 3. min), as expecte from theory for a transfer from 5 to.9 µm particles Guielines for the use of UHPLC instruments
8 REGULAR HPLC METHOD Anxiolytiques 4.6 x 50 mm, 5 µm F = 000 µl/min V inj = 0 µl F = 550 µl/min V inj =.4 µl mv x 50 mm,.9 µm 0.08 AU Minutes min Equivalent efficiency UHPLC METHOD Equivalent selectivity Equivalent resolution Analysis time: gain 7x min Minutes. bromazepam,. nitrazepam, 3. oxazepam, 4. clonazepam, 5. alprazolam, 6. flunitrazepam, 7. iazepam Figure 3: Isocratic metho transfer from regular HPLC to UHPLC 4.. Case of graient moe The rules for graient metho transfer are much more complex than isocratic ones but also base on basic principles of chromatography. First, the injection volume an mobile phase flow rate shoul be aapte in a similar way as the isocratic moe (see equations an ). In linear or multi-linear graient elution, the graient profile can be ecompose as the combination of isocratic an graient segments. The rules for efficient graient transfer originally establishe by Snyer an Dolan () an recently upate by Carr et al. () shoul be strictly followe. For both parts, it is important to scale the graient volume in proportion to the number of column volumes, to yiel ientical elution patterns, while the initial an final composition shoul be maintaine constant. In fact, the number of column volumes percolate uring the graient in the regular HPLC system shoul be equivalent to that of the UHPLC setup. For any isocratic step within the graient (i.e. initial isocratic step, isocratic step uring a multi-linear graient an also re-equilibrating time), the ratio between isocratic step time (t iso ) an column ea time (which epens on the mobile phase flow rate, column I.D. an length) shoul be maintaine equivalent between conventional HPLC an UHPLC conitions. Therefore, the UHPLC isocratic step (t iso ) can be etermine with: t iso F c L = tiso (6) F c L As an example, from a regular 50x4.6 mm, 5 µm column to a UHPLC 50x. mm,.9 µm column, the isocratic steps which occurre uring the graient process (incluing re-equilibrating time) shoul be reuce by 8-fol Guielines for the use of UHPLC instruments
9 For slope segments, it is manatory to keep the initial an final graient composition (%B) constant. The new graient time (t gra ) can be expresse as: t gra (%Bfinal %Binitial ) = (7) slope The graient slope (slope ) shoul be calculate to maintain the prouct of graient slope an column ea time constant. The new graient slope (slope ) can be expresse as: slope c L F = slope (8) c L F As an example, from a regular 50x4.6 mm, 5 µm column to a UHPLC 50x. mm,.9 µm column, the graient slope uring the graient process shoul be increase by 8-fol. When transferring a graient metho from regular HPLC to UHPLC, some changes in selectivity coul occur uring the graient run because of ifferences in well volume between the original an the UHPLC configuration. The system well volume (V ) is also known as graient elay volume. It refers to the volume between the mixing point of solvents an the hea of the analytical column, as shown in figure 4. Lowpressure mixing systems possess generally larger well volumes than high-pressure mixing systems. After starting the graient, it will take time until the selecte proportion of solvent reaches the column. It means that the sample is subjecte to an aitional isocratic migration in the initial mobile phase conition. Since the graient well volume may iffer from one system to another, this extra isocratic step woul be ifferent an coul result in retention time variations affecting resolution for early eluting peaks when transferring a metho. To overcome this problem, the ratio of system well time (t ) an column ea time (t 0 ) must be hel constant while changing column imensions, particle size or mobile phase flow rate. Figure 4: Importance of well volume in graient metho transfer As the column ea time is reuce by aroun 8-fol between a regular 50x4.6 mm, 5 µm column an a 50x. mm,.9 µm column, the system well time shoul be reuce by a similar factor. Therefore, it is manatory to work in UHPLC with a system possessing a very low well volume (no more than a few hunre µl) to limit the influence of V. When the ifference between t /t 0 ratios remains too large, it is also possible to a an isocratic hol at the beginning of the UHPLC graient Guielines for the use of UHPLC instruments
10 Again, the applicability of the approach iscusse can be foun in the literature for metho transfer between conventional an sub-µm packings. One example has been selecte an is presente in figure 5. The separation of pharmaceutical compouns was originally achieve using a mm, 5 µm, C 8 column an further transferre to UHPLC with a 50. mm,.7 µm C 8 column possessing strictly similar chemistry. The original separation was performe in approximately 7 minutes an efficiently transferre to UHPLC in less than 3 min (reuction by a factor of 9). In aition, both separations were equivalent in terms of sensitivity, peak capacities an resolution, mainly because of an aequate reuction of system well volume (from.3 ml to 30 µl for HPLC an UHPLC, respectively). Another relevant avantage of UHPLC is the re-equilibrating time reuction. In HPLC (50x4.6 mm column at ml/min), re-equilibration took about 0 minutes, while using a short column packe with sub- µm particles (50x. mm column at 600 µl/min), the re-equilibrating time ecreases to only minutes. 4.6 x 50 mm, 5 µm F = 000 µl/min V inj = 0 µl P = 80 bars AU REGULAR HPLC METHOD min Minutes UHPLC METHOD Equivalent Peak capacity Equivalent Selectivity Equivalent Resolution Equivalent Sensitivity Analysis time gain 9. x 50 mm,.7 µm F = 600 µl/min V inj =.5 µl P = 50 bars AU min Minutes Figure 5: Graient metho transfer from regular HPLC to UHPLC A last recommenation when working in UHPLC is to be careful when increasing mobile phase flow rate in the graient moe. For an aequate transfer, it is necessary to aapt the graient profile when increasing the flow rate, as illustrate by equations 6 an 8. Therefore, when changing mobile phase flow rate, the graient slope an time of any isocratic step shoul be aapte in orer to maintain equivalent selectivities. Equations to 8 can be use for etermining the new parameters of a transferre isocratic or graient metho. However, at the University of Geneva, we evelope a free program calle HPLC calculator poste on our website ( which gives optimal conitions for metho transfer in isocratic an graient moes. In this calculator, the system well volume can also be consiere for calculation in graient moe. 5. Conclusion The UHPLC technology (efine as columns packe with sub-µm particles use in very high pressure conitions) has prove to be a powerful approach to improving chromatographic analysis in terms of throughput an resolving power. By comparing its intrinsic performance with other existing techniques, such as monoliths or high temperature liqui chromatography, it is a very attractive strategy for improving chromatographic efficiencies in the range,000 80,000 plates Guielines for the use of UHPLC instruments
11 An important factor in obtaining suitable performance with columns packe with sub-µm particles is the choice of instrumentation. Inee, it is manatory to work with a chromatographic system that withstans pressure higher than 400 bar. The system shoul also possess very low extra-column volume, limite well volume an a sufficient etection acquisition rate. The rules for metho evelopment in UHPLC are slightly ifferent from that of regular HPLC because the high backpressure generate by the columns packe with very small particles has to be taken into account. For example, acetonitrile is the first choice for mobile phase organic moifier because of the lower viscosity compare to methanol. In aition, it is always beneficial to work at a temperature slightly higher than ambient (40-50 C). One of the main avantages of UHPLC remains the possibility to transfer easily the existing HPLC methos to columns packe with sub-µm particles, using basic equations of chromatography. In the isocratic moe, only the injecte volume an mobile phase flow rate have to be ajuste. In the case of graient elution, injecte volume, flow rate, isocratic step uration an graient slope must be aapte an well volume shoul be carefully consiere. 6. References. J.W. Dolan, L.R. Snyer, Maintaining fixe ban spacing when changing column imensions in graient elution, J. Chromatogr. A 799 (998) -34. A.P. Schellinger, P.W. Carr, A practical approach to transferring linear graient elution methos, J. Chromatogr. A 077 (005) List of Abbreviations Symbols: c : column internal iameter p : particle size of the support F: mobile phase flow rate k: retention factor of the compoun L: column length N: chromatographic efficiency t 0 : column ea time Greek symbols: P: column backpressure σ² ext : extra-column ispersion σ² col : column ispersion τ : time constant of the etector %B initial : initial percentage of organic moifier %Bfinal: final percentage of organic moifier t ana : total analysis time t : system well time t iso : initial isocratic hol t gra : graient time u: mobile phase linear velocity V: Volume of solvent consume V 0 : column ea volume V inj : injection volume - - Guielines for the use of UHPLC instruments
The Theory of HPLC. Gradient HPLC
The Theory of HPLC Gradient HPLC i Wherever you see this symbol, it is important to access the on-line course as there is interactive material that cannot be fully shown in this reference manual. Aims
More informationModelling and Resolving Software Dependencies
June 15, 2005 Abstract Many Linux istributions an other moern operating systems feature the explicit eclaration of (often complex) epenency relationships between the pieces of software
More informationState of Louisiana Office of Information Technology. Change Management Plan
State of Louisiana Office of Information Technology Change Management Plan Table of Contents Change Management Overview Change Management Plan Key Consierations Organizational Transition Stages Change
More informationData Center Power System Reliability Beyond the 9 s: A Practical Approach
Data Center Power System Reliability Beyon the 9 s: A Practical Approach Bill Brown, P.E., Square D Critical Power Competency Center. Abstract Reliability has always been the focus of mission-critical
More information10.2 Systems of Linear Equations: Matrices
SECTION 0.2 Systems of Linear Equations: Matrices 7 0.2 Systems of Linear Equations: Matrices OBJECTIVES Write the Augmente Matrix of a System of Linear Equations 2 Write the System from the Augmente Matrix
More informationAchieving quality audio testing for mobile phones
Test & Measurement Achieving quality auio testing for mobile phones The auio capabilities of a cellular hanset provie the funamental interface between the user an the raio transceiver. Just as RF testing
More information5 Isotope effects on vibrational relaxation and hydrogen-bond dynamics in water
5 Isotope effects on vibrational relaxation an hyrogen-bon ynamics in water Pump probe experiments HDO issolve in liqui H O show the spectral ynamics an the vibrational relaxation of the OD stretch vibration.
More informationDIFFRACTION AND INTERFERENCE
DIFFRACTION AND INTERFERENCE In this experiment you will emonstrate the wave nature of light by investigating how it bens aroun eges an how it interferes constructively an estructively. You will observe
More information11 CHAPTER 11: FOOTINGS
CHAPTER ELEVEN FOOTINGS 1 11 CHAPTER 11: FOOTINGS 11.1 Introuction Footings are structural elements that transmit column or wall loas to the unerlying soil below the structure. Footings are esigne to transmit
More informationTO DETERMINE THE SHELF LIFE OF IBUPROFEN SOLUTION
TO DETERMINE THE SHELF LIFE OF IBUPROFEN SOLUTION AIM: To etermine the shelf life of solution using accelerate stability stuies. MATERIAL REQUIREMENT, ethanol, phenolphthalein, soium hyroxie (0.1N), glass
More informationJON HOLTAN. if P&C Insurance Ltd., Oslo, Norway ABSTRACT
OPTIMAL INSURANCE COVERAGE UNDER BONUS-MALUS CONTRACTS BY JON HOLTAN if P&C Insurance Lt., Oslo, Norway ABSTRACT The paper analyses the questions: Shoul or shoul not an iniviual buy insurance? An if so,
More informationFAST JOINING AND REPAIRING OF SANDWICH MATERIALS WITH DETACHABLE MECHANICAL CONNECTION TECHNOLOGY
FAST JOINING AND REPAIRING OF SANDWICH MATERIALS WITH DETACHABLE MECHANICAL CONNECTION TECHNOLOGY Jörg Felhusen an Sivakumara K. Krishnamoorthy RWTH Aachen University, Chair an Insitute for Engineering
More informationWhy is oil and grease-free so important in oxygen systems?
Why is oil an grease-free so important in oxygen systems? 1. Forewor Oxygen this vital gas is more complex in its use than one woul imagine when consiering how matter-of-factly we inhale an exhale every
More informationAn intertemporal model of the real exchange rate, stock market, and international debt dynamics: policy simulations
This page may be remove to conceal the ientities of the authors An intertemporal moel of the real exchange rate, stock market, an international ebt ynamics: policy simulations Saziye Gazioglu an W. Davi
More informationProfessional Level Options Module, Paper P4(SGP)
Answers Professional Level Options Moule, Paper P4(SGP) Avance Financial Management (Singapore) December 2007 Answers Tutorial note: These moel answers are consierably longer an more etaile than woul be
More informationOwner s Manual. TP--WEM01 Performance Series AC/HP Wi-- Fi Thermostat Carrier Côr Thermostat TABLE OF CONTENTS
TP--WEM01 Performance Series AC/HP Wi-- Fi Thermostat Carrier Côr Thermostat Fig. 1 - Carrier Côrt Thermostat TABLE OF CONTENTS Owner s Manual A14493 PAGE OVERVIEW... 2 Your Carrier Côrt Thermostat...
More informationProduct Differentiation for Software-as-a-Service Providers
University of Augsburg Prof. Dr. Hans Ulrich Buhl Research Center Finance & Information Management Department of Information Systems Engineering & Financial Management Discussion Paper WI-99 Prouct Differentiation
More informationMSc. Econ: MATHEMATICAL STATISTICS, 1995 MAXIMUM-LIKELIHOOD ESTIMATION
MAXIMUM-LIKELIHOOD ESTIMATION The General Theory of M-L Estimation In orer to erive an M-L estimator, we are boun to make an assumption about the functional form of the istribution which generates the
More informationLecture L25-3D Rigid Body Kinematics
J. Peraire, S. Winall 16.07 Dynamics Fall 2008 Version 2.0 Lecture L25-3D Rigi Boy Kinematics In this lecture, we consier the motion of a 3D rigi boy. We shall see that in the general three-imensional
More informationMinimizing Makespan in Flow Shop Scheduling Using a Network Approach
Minimizing Makespan in Flow Shop Scheuling Using a Network Approach Amin Sahraeian Department of Inustrial Engineering, Payame Noor University, Asaluyeh, Iran 1 Introuction Prouction systems can be ivie
More informationCalibration of the broad band UV Radiometer
Calibration of the broa ban UV Raiometer Marian Morys an Daniel Berger Solar Light Co., Philaelphia, PA 19126 ABSTRACT Mounting concern about the ozone layer epletion an the potential ultraviolet exposure
More informationThe one-year non-life insurance risk
The one-year non-life insurance risk Ohlsson, Esbjörn & Lauzeningks, Jan Abstract With few exceptions, the literature on non-life insurance reserve risk has been evote to the ultimo risk, the risk in the
More informationUnbalanced Power Flow Analysis in a Micro Grid
International Journal of Emerging Technology an Avance Engineering Unbalance Power Flow Analysis in a Micro Gri Thai Hau Vo 1, Mingyu Liao 2, Tianhui Liu 3, Anushree 4, Jayashri Ravishankar 5, Toan Phung
More informationLagrangian and Hamiltonian Mechanics
Lagrangian an Hamiltonian Mechanics D.G. Simpson, Ph.D. Department of Physical Sciences an Engineering Prince George s Community College December 5, 007 Introuction In this course we have been stuying
More informationMAINTAINING ELECTRIC MOTORS USED FOR IRRIGATION
MAINTAINING ELECTRIC MOTORS USED FOR IRRIGATION F. Richar Bear, Agricultural Equipment, Structures an Electricity Robert W. Hill, Biological & Irrigation Engineering August 2000 ENGR/BIE/WM/06 Electricity
More informationAutomated Method Development Utilizing Software-Based Optimization and Direct Instrument Control
Automated Method Development Utilizing Software-Based Optimization and Direct Instrument Control Dr. Frank Steiner, 1 Andreas Brunner, 1 Fraser McLeod, 1 Dr. Sergey Galushko 2 1 Dionex Corporation, Germering,
More informationCh 10. Arithmetic Average Options and Asian Opitons
Ch 10. Arithmetic Average Options an Asian Opitons I. Asian Option an the Analytic Pricing Formula II. Binomial Tree Moel to Price Average Options III. Combination of Arithmetic Average an Reset Options
More informationGuide to Reverse Phase SpinColumns Chromatography for Sample Prep
Guide to Reverse Phase SpinColumns Chromatography for Sample Prep www.harvardapparatus.com Contents Introduction...2-3 Modes of Separation...4-6 Spin Column Efficiency...7-8 Fast Protein Analysis...9 Specifications...10
More informationCALCULATION INSTRUCTIONS
Energy Saving Guarantee Contract ppenix 8 CLCULTION INSTRUCTIONS Calculation Instructions for the Determination of the Energy Costs aseline, the nnual mounts of Savings an the Remuneration 1 asics ll prices
More informationUHPLC/MS: An Efficient Tool for Determination of Illicit Drugs
Application Note: 439 UHPLC/MS: An Efficient Tool for Determination of Illicit Drugs Guifeng Jiang, Thermo Fisher Scientific, San Jose, CA, USA Key Words Accela UHPLC System MSQ Plus MS Detector Drugs
More informationHeat-And-Mass Transfer Relationship to Determine Shear Stress in Tubular Membrane Systems Ratkovich, Nicolas Rios; Nopens, Ingmar
Aalborg Universitet Heat-An-Mass Transfer Relationship to Determine Shear Stress in Tubular Membrane Systems Ratkovich, Nicolas Rios; Nopens, Ingmar Publishe in: International Journal of Heat an Mass Transfer
More informationGas Chromatography. Let s begin with an example problem: SPME head space analysis of pesticides in tea and follow-up analysis by high speed GC.
Gas Chromatography Let s begin with an example problem: SPME head space analysis of pesticides in tea and follow-up analysis by high speed GC. Samples in 10mL sealed glass vials were placed in the MPS-2
More informationINFLUENCE OF GPS TECHNOLOGY ON COST CONTROL AND MAINTENANCE OF VEHICLES
1 st Logistics International Conference Belgrae, Serbia 28-30 November 2013 INFLUENCE OF GPS TECHNOLOGY ON COST CONTROL AND MAINTENANCE OF VEHICLES Goran N. Raoičić * University of Niš, Faculty of Mechanical
More informationMethod Development for Size-Exclusion Chromatography of Monoclonal Antibodies and Higher Order Aggregates
Method Development for Size-Exclusion Chromatography of Monoclonal Antibodies and Higher Order Aggregates Paula Hong and Kenneth J. Fountain Waters Corporation, 34 Maple St., Milford, MA, USA APPLICATION
More informationIntroduction to Integration Part 1: Anti-Differentiation
Mathematics Learning Centre Introuction to Integration Part : Anti-Differentiation Mary Barnes c 999 University of Syney Contents For Reference. Table of erivatives......2 New notation.... 2 Introuction
More informationThroughputScheduler: Learning to Schedule on Heterogeneous Hadoop Clusters
ThroughputScheuler: Learning to Scheule on Heterogeneous Haoop Clusters Shehar Gupta, Christian Fritz, Bob Price, Roger Hoover, an Johan e Kleer Palo Alto Research Center, Palo Alto, CA, USA {sgupta, cfritz,
More informationThe most common model to support workforce management of telephone call centers is
Designing a Call Center with Impatient Customers O. Garnett A. Manelbaum M. Reiman Davison Faculty of Inustrial Engineering an Management, Technion, Haifa 32000, Israel Davison Faculty of Inustrial Engineering
More informationChapter 4: Elasticity
Chapter : Elasticity Elasticity of eman: It measures the responsiveness of quantity emane (or eman) with respect to changes in its own price (or income or the price of some other commoity). Why is Elasticity
More informationINVERSE SIZE EXCLUSION CHROMATOGRAPHY- A TECHNIQUE OF PORE CHARACTERISATION OF TEXTILE MATERIALS
INVERSE SIZE EXCLUSIN CHRMATGRAHY- A TECHNIQUE F RE CHARACTERISATIN F TEXTILE MATERIALS Arunee Kongee a, Thomas Bechtol a, Euar Burtscher b, Markus Scheinecker c a Christain-Doppler Laboratory of Textile
More informationFirewall Design: Consistency, Completeness, and Compactness
C IS COS YS TE MS Firewall Design: Consistency, Completeness, an Compactness Mohame G. Goua an Xiang-Yang Alex Liu Department of Computer Sciences The University of Texas at Austin Austin, Texas 78712-1188,
More informationConsumer Referrals. Maria Arbatskaya and Hideo Konishi. October 28, 2014
Consumer Referrals Maria Arbatskaya an Hieo Konishi October 28, 2014 Abstract In many inustries, rms rewar their customers for making referrals. We analyze the optimal policy mix of price, avertising intensity,
More informationOptimal Control Policy of a Production and Inventory System for multi-product in Segmented Market
RATIO MATHEMATICA 25 (2013), 29 46 ISSN:1592-7415 Optimal Control Policy of a Prouction an Inventory System for multi-prouct in Segmente Market Kuleep Chauhary, Yogener Singh, P. C. Jha Department of Operational
More informationHow To Segmentate An Insurance Customer In An Insurance Business
International Journal of Database Theory an Application, pp.25-36 http://x.oi.org/10.14257/ijta.2014.7.1.03 A Case Stuy of Applying SOM in Market Segmentation of Automobile Insurance Customers Vahi Golmah
More informationA NATIONAL MEASUREMENT GOOD PRACTICE GUIDE. No.107. Guide to the calibration and testing of torque transducers
A NATIONAL MEASUREMENT GOOD PRACTICE GUIDE No.107 Guie to the calibration an testing of torque transucers Goo Practice Guie 107 Measurement Goo Practice Guie No.107 Guie to the calibration an testing of
More informationAutomatic Long-Term Loudness and Dynamics Matching
Automatic Long-Term Louness an Dynamics Matching Earl ickers Creative Avance Technology Center Scotts alley, CA, USA earlv@atc.creative.com ABSTRACT Traitional auio level control evices, such as automatic
More informationTowards a Framework for Enterprise Architecture Frameworks Comparison and Selection
Towars a Framework for Enterprise Frameworks Comparison an Selection Saber Aballah Faculty of Computers an Information, Cairo University Saber_aballah@hotmail.com Abstract A number of Enterprise Frameworks
More informationAon Retiree Health Exchange
2014 2015 Meicare Insurance Guie Aon Retiree Health Exchange Recommene by Why You Nee More Coverage I alreay have coverage. Aren t Meicare Parts A an B enough? For many people, Meicare alone oes not provie
More informationOn Adaboost and Optimal Betting Strategies
On Aaboost an Optimal Betting Strategies Pasquale Malacaria 1 an Fabrizio Smerali 1 1 School of Electronic Engineering an Computer Science, Queen Mary University of Lonon, Lonon, UK Abstract We explore
More informationA New Pricing Model for Competitive Telecommunications Services Using Congestion Discounts
A New Pricing Moel for Competitive Telecommunications Services Using Congestion Discounts N. Keon an G. Ananalingam Department of Systems Engineering University of Pennsylvania Philaelphia, PA 19104-6315
More informationA Data Placement Strategy in Scientific Cloud Workflows
A Data Placement Strategy in Scientific Clou Workflows Dong Yuan, Yun Yang, Xiao Liu, Jinjun Chen Faculty of Information an Communication Technologies, Swinburne University of Technology Hawthorn, Melbourne,
More informationOption Pricing for Inventory Management and Control
Option Pricing for Inventory Management an Control Bryant Angelos, McKay Heasley, an Jeffrey Humpherys Abstract We explore the use of option contracts as a means of managing an controlling inventories
More informationOptimizing Multiple Stock Trading Rules using Genetic Algorithms
Optimizing Multiple Stock Traing Rules using Genetic Algorithms Ariano Simões, Rui Neves, Nuno Horta Instituto as Telecomunicações, Instituto Superior Técnico Av. Rovisco Pais, 040-00 Lisboa, Portugal.
More informationDetecting Possibly Fraudulent or Error-Prone Survey Data Using Benford s Law
Detecting Possibly Frauulent or Error-Prone Survey Data Using Benfor s Law Davi Swanson, Moon Jung Cho, John Eltinge U.S. Bureau of Labor Statistics 2 Massachusetts Ave., NE, Room 3650, Washington, DC
More informationReading: Ryden chs. 3 & 4, Shu chs. 15 & 16. For the enthusiasts, Shu chs. 13 & 14.
7 Shocks Reaing: Ryen chs 3 & 4, Shu chs 5 & 6 For the enthusiasts, Shu chs 3 & 4 A goo article for further reaing: Shull & Draine, The physics of interstellar shock waves, in Interstellar processes; Proceeings
More informationUsing research evidence in mental health: user-rating and focus group study of clinicians preferences for a new clinical question-answering service
DOI: 10.1111/j.1471-1842.2008.00833.x Using research evience in mental health: user-rating an focus group stuy of clinicians preferences for a new clinical question-answering service Elizabeth A. Barley*,
More informationA Complete Solution for Method Linearity in HPLC and UHPLC
Now sold under the Thermo Scientific brand A Complete Solution for Method Linearity in HPLC and UHPLC Frank Steiner, Fraser McLeod, Tobias Fehrenbach, and Andreas Brunner Dionex Corporation, Germering,
More informationHow To Price Internet Access In A Broaban Service Charge On A Per Unit Basis
iqui Pricing for Digital Infrastructure Services Subhajyoti Banyopahyay * an sing Kenneth Cheng Department of Decision an Information Sciences Warrington College of Business Aministration University of
More informationInverse Trig Functions
Inverse Trig Functions c A Math Support Center Capsule February, 009 Introuction Just as trig functions arise in many applications, so o the inverse trig functions. What may be most surprising is that
More informationThe Use of Micro Flow LC Coupled to MS/MS in Veterinary Drug Residue Analysis
The Use of Micro Flow LC Coupled to MS/MS in Veterinary Drug Residue Analysis Stephen Lock AB SCIEX Warrington (UK) Overview A rapid, robust, sensitive and specific LC-MS/MS method has been developed for
More informationEnterprise Resource Planning
Enterprise Resource Planning MPC 6 th Eition Chapter 1a McGraw-Hill/Irwin Copyright 2011 by The McGraw-Hill Companies, Inc. All rights reserve. Enterprise Resource Planning A comprehensive software approach
More informationSupporting Adaptive Workflows in Advanced Application Environments
Supporting aptive Workflows in vance pplication Environments Manfre Reichert, lemens Hensinger, Peter Daam Department Databases an Information Systems University of Ulm, D-89069 Ulm, Germany Email: {reichert,
More informationMeasures of distance between samples: Euclidean
4- Chapter 4 Measures of istance between samples: Eucliean We will be talking a lot about istances in this book. The concept of istance between two samples or between two variables is funamental in multivariate
More informationExample Optimization Problems selected from Section 4.7
Example Optimization Problems selecte from Section 4.7 19) We are aske to fin the points ( X, Y ) on the ellipse 4x 2 + y 2 = 4 that are farthest away from the point ( 1, 0 ) ; as it happens, this point
More informationManure Spreader Calibration
Agronomy Facts 68 Manure Spreaer Calibration Manure spreaer calibration is an essential an valuable nutrient management tool for maximizing the efficient use of available manure nutrients. Planne manure
More informationWeb Appendices of Selling to Overcon dent Consumers
Web Appenices of Selling to Overcon ent Consumers Michael D. Grubb A Option Pricing Intuition This appenix provies aitional intuition base on option pricing for the result in Proposition 2. Consier the
More informationChapter 9 AIRPORT SYSTEM PLANNING
Chapter 9 AIRPORT SYSTEM PLANNING. Photo creit Dorn McGrath, Jr Contents Page The Planning Process................................................... 189 Airport Master Planning..............................................
More informationView Synthesis by Image Mapping and Interpolation
View Synthesis by Image Mapping an Interpolation Farris J. Halim Jesse S. Jin, School of Computer Science & Engineering, University of New South Wales Syney, NSW 05, Australia Basser epartment of Computer
More informationINTRODUCTION TO BEAMS
CHAPTER Structural Steel Design LRFD etho INTRODUCTION TO BEAS Thir Eition A. J. Clark School of Engineering Department of Civil an Environmental Engineering Part II Structural Steel Design an Analsis
More information1 Introduction to the Recommendations and their Application Principles
1 Introuction to the Recommenations an their Application Principles 1.1 National an International Regulations for Piling Wors (1) Since the implementation ofdin EN 1997-1:2009-09: Eurocoe 7: Geotechnical
More informationChapter 11: Feedback and PID Control Theory
Chapter 11: Feeback an ID Control Theory Chapter 11: Feeback an ID Control Theory I. Introuction Feeback is a mechanism for regulating a physical system so that it maintains a certain state. Feeback works
More informationRisk Adjustment for Poker Players
Risk Ajustment for Poker Players William Chin DePaul University, Chicago, Illinois Marc Ingenoso Conger Asset Management LLC, Chicago, Illinois September, 2006 Introuction In this article we consier risk
More informationReversed Phase High Presssure Liquid Chromatograhphic Technique for Determination of Sodium Alginate from Oral Suspension
International Journal of PharmTech Research CODEN (USA): IJPRIF ISSN : 0974-4304 Vol.2, No.2, pp 1634-1638, April-June 2010 Reversed Phase High Presssure Liquid Chromatograhphic Technique for Determination
More informationEU Water Framework Directive vs. Integrated Water Resources Management: The Seven Mismatches
Water Resources Development, Vol. 20, No. 4, 565±575, December 2004 EU Water Framework Directive vs. Integrate Water Resources Management: The Seven Mismatches MUHAMMAD MIZANUR RAHAMAN, OLLI VARIS & TOMMI
More informationTransmission and Distribution Networks: AC versus DC
Transmission an Distribution Networks: AC versus DC D.M. Larruskain 1, I. Zamora 1, A.J. Mazón 1, O. Abarrategui 1, J. Monasterio 2 1 Department of Electrical Engineering University of the Basque Country
More informationRural Development Tools: What Are They and Where Do You Use Them?
Faculty Paper Series Faculty Paper 00-09 June, 2000 Rural Development Tools: What Are They an Where Do You Use Them? By Dennis U. Fisher Professor an Extension Economist -fisher@tamu.eu Juith I. Stallmann
More informationA review of conceptual transparency in US and Colombian seismic design building codes
INGENIEÍA E INESTIGACIÓN OL. 33 No. 2, AUGUST - 2013 (24-29) A review of conceptual transparency in US an Colombian seismic esign builing coes evisión e la transparencia conceptual en los reglamentos e
More informationOSEMD-00-PP2 Page 1 of 5
OSEMD-00-PP2 Page 1 of 5 Oil Sans Environmental Management Division Approvals Program Interim Policy Emission Guielines for Oxies of Nitrogen (NOx) for New Boilers, Heaters an Turines Using Gaseous Fuels
More informationThe Quick Calculus Tutorial
The Quick Calculus Tutorial This text is a quick introuction into Calculus ieas an techniques. It is esigne to help you if you take the Calculus base course Physics 211 at the same time with Calculus I,
More informationBond Calculator. Spreads (G-spread, T-spread) References and Contact details
Cbons.Ru Lt. irogovskaya nab., 21, St. etersburg hone: +7 (812) 336-97-21 http://www.cbons-group.com Bon Calculator Bon calculator is esigne to calculate analytical parameters use in assessment of bons.
More informationMODELLING OF TWO STRATEGIES IN INVENTORY CONTROL SYSTEM WITH RANDOM LEAD TIME AND DEMAND
art I. robobabilystic Moels Computer Moelling an New echnologies 27 Vol. No. 2-3 ransport an elecommunication Institute omonosova iga V-9 atvia MOEING OF WO AEGIE IN INVENOY CONO YEM WIH ANOM EA IME AN
More informationModeling and Predicting Popularity Dynamics via Reinforced Poisson Processes
Proceeings of the Twenty-Eighth AAAI Conference on Artificial Intelligence Moeling an Preicting Popularity Dynamics via Reinforce Poisson Processes Huawei Shen 1, Dashun Wang 2, Chaoming Song 3, Albert-László
More informationSafety Management System. Initial Revision Date: Version Revision No. 02 MANUAL LIFTING
Revision Preparation: Safety Mgr Authority: Presient Issuing Dept: Safety Page: Page 1 of 11 Purpose is committe to proviing a safe an healthy working environment for all employees. Musculoskeletal isorers
More informationSolid Core Technical Compendium
150-C4 150-C18 Phenyl-Hexyl XL-C18 PFP 150-Amide-HILIC C0 Urea-HILIC Phenyl-X HILIC Polar Premium C8 XL-C8 aq C18 RP-MS Solid Core Technical Compendium Want fast, high-resolution separations, plus a range
More informationHull, Chapter 11 + Sections 17.1 and 17.2 Additional reference: John Cox and Mark Rubinstein, Options Markets, Chapter 5
Binomial Moel Hull, Chapter 11 + ections 17.1 an 17.2 Aitional reference: John Cox an Mark Rubinstein, Options Markets, Chapter 5 1. One-Perio Binomial Moel Creating synthetic options (replicating options)
More informationThe Automated SPE Assay of Fipronil and Its Metabolites from Bee Pollen.
The Automated SPE Assay of Fipronil and Its Metabolites from Bee Pollen. Mark Crawford Single Presenter Name Abstract With the recent decline in hive bee populations this year the investigation of acaricides
More informationRisk Management for Derivatives
Risk Management or Derivatives he Greeks are coming the Greeks are coming! Managing risk is important to a large number o iniviuals an institutions he most unamental aspect o business is a process where
More informationSustainability Through the Market: Making Markets Work for Everyone q
www.corporate-env-strategy.com Sustainability an the Market Sustainability Through the Market: Making Markets Work for Everyone q Peter White Sustainable evelopment is about ensuring a better quality of
More informationSensitivity Analysis of Non-linear Performance with Probability Distortion
Preprints of the 19th Worl Congress The International Feeration of Automatic Control Cape Town, South Africa. August 24-29, 214 Sensitivity Analysis of Non-linear Performance with Probability Distortion
More informationWeirs for Flow Measurement
Lecture 8 Weirs for Flow Measurement I. Cipoletti Weirs The trapezoial weir that is most often use is the so-calle Cipoletti weir, which was reporte in ASCE Transactions in 1894 This is a fully contracte
More informationProducts no longer available
Technical ata sheet R6..R haracterize control valves, 2-way, with flange PN 6 for open an close col an warm water systems for moulating control on the water sie of air-hanling an heating systems air bubble-tight
More informationRules for Finding Derivatives
3 Rules for Fining Derivatives It is teious to compute a limit every time we nee to know the erivative of a function. Fortunately, we can evelop a small collection of examples an rules that allow us to
More informationfor SolEx TM HRP Cartridges SolEx TM HRP RSLC Columns
for SolEx TM HRP Cartridges SolEx TM HRP RSLC Columns Product Manual for SolEx TM HRP Cartridges and SolEx TM HRP RSLC Columns Page 1 of 15 Product Manual for SolEx TM HRP Cartridges SolEx HRP (P/N 074400)
More informationLiquidity and Corporate Debt Market Timing
Liquiity an Corporate Debt Market Timing Marina Balboa Faculty of Economics University of Alicante Phone: +34 965903621 Fax: +34 965903621 marina.balboa@ua.es Belén Nieto (Corresponing author) Faculty
More informationSIMULTANEOUS DETERMINATION OF TELMISARTAN AND HYDROCHLOROTHIAZIDE IN TABLET DOSAGE FORM USING REVERSE PHASE HIGH PERFORMANCE LIQUID CHROMATOGRAPHY
CHAPTER 5 SIMULTANEOUS DETERMINATION OF TELMISARTAN AND HYDROCHLOROTHIAZIDE IN TABLET DOSAGE FORM USING REVERSE PHASE HIGH PERFORMANCE LIQUID CHROMATOGRAPHY CHAPTER 5 Simultaneous determination of Telmisartan
More informationLC-MS/MS Method for the Determination of Docetaxel in Human Serum for Clinical Research
LC-MS/MS Method for the Determination of Docetaxel in Human Serum for Clinical Research J. Jones, J. Denbigh, Thermo Fisher Scientific, Runcorn, Cheshire, UK Application Note 20581 Key Words SPE, SOLA,
More informationApplication Note. Determination of Nitrite and Nitrate in Fruit Juices by UV Detection. Summary. Introduction. Experimental Sample Preparation
Application Note Determination of Nitrite and Nitrate in Fruit Juices by UV Detection Category Food Matrix Fruit Juice Method HPLC Keywords Ion pair chromatography, fruit juice, inorganic anions AZURA
More informationTrace IP Packets by Flexible Deterministic Packet Marking (FDPM)
Trace P Packets by Flexible Deterministic Packet Marking (F) Yang Xiang an Wanlei Zhou School of nformation Technology Deakin University Melbourne, Australia {yxi, wanlei}@eakin.eu.au Abstract- Currently
More informationSEC Issues Proposed Guidance to Fund Boards Relating to Best Execution and Soft Dollars
September 2008 / Issue 21 A legal upate from Dechert s Financial Services Group SEC Issues Propose Guiance to Fun Boars Relating to Best Execution an Soft Dollars The Securities an Exchange Commission
More informationImproving Emulation Throughput for Multi-Project SoC Designs
Improving Emulation Throhput for Multi-Project SoC Designs By Frank Schirrmeister, Caence Design Systems As esign sizes grow, so, too, oes the verification effort. Inee, verification has become the biggest
More informationLUMEFANTRINE Draft proposal for The International Pharmacopoeia (October 2006)
October 2006 RESTRICTED LUMEFANTRINE Draft proposal for The International Pharmacopoeia (October 2006) DRAFT FOR DISCUSSION World Health Organization 2006 All rights reserved. This draft is intended for
More information