CN110031586B - Method for optimizing proportion gradient of mobile phase in high performance liquid chromatography - Google Patents
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Abstract
The invention relates to the technical field of high performance liquid chromatography mobile phase analysis, and provides a proportional gradient optimization method for a high performance liquid chromatography mobile phase, which comprises the following steps: preliminarily selecting experimental conditions, and selecting proper eluent and experimental temperature; obtaining a retention value equation of each component and calculating chromatographic peak width; predicting the retention time of the components, integrating the moving speed of each component under any mobile phase proportion by using a retention value equation to obtain a total distance formula of each component of the sample moving in the chromatographic column under a linear multi-order gradient condition, and calculating the retention time of each component by combining the length of the chromatographic column; and optimizing the gradient of the flowing phase proportion, giving the minimum value of the separation degree, the maximum value of the separation degree and the requirement of the maximum experiment time, and calculating the separation degree smaller than the minimum value without optimization. The method has the advantages that the chromatographic peaks of all substances on the chromatogram are fully separated, and meanwhile, the chromatographic peaks are not excessively separated.
Description
Technical Field
The invention relates to the technical field of high performance liquid chromatography mobile phase analysis, in particular to a proportional gradient optimization method for a high performance liquid chromatography mobile phase.
Background
In the chromatographic method, the driving method is divided into two types: 1. obtaining the proportion relation between the retention time of each component and the mobile phase by looking up documents or standard sample actual measurement methods, selecting a group of conditions for experiment by experimenters according to experience, and repeatedly performing the experiment according to the correctness of the chromatogram obtained by the experiment to test the conditions or to modify the conditions;
2. according to the plate theory, the chromatogram under a certain experimental condition is predicted by adopting a computer numerical calculation mode, and the analysis of the chromatogram and the correction of the experimental condition still need to depend on the experience of experimenters.
Disclosure of Invention
The invention provides a method for optimizing the proportional gradient of a mobile phase for high performance liquid chromatography, which aims to fully separate chromatographic peaks of various substances on a chromatogram map without excessive separation.
In order to achieve the technical purpose and achieve the technical effect, the technical scheme of the invention comprises the following steps:
s1, preliminarily selecting experimental conditions: selecting standard samples of all components in a sample, respectively taking different eluents as mobile phases, measuring and calculating the separation degree of chromatographic peaks of all substances under different temperature conditions, and selecting the eluent with the minimum separation degree and the maximum test temperature as subsequent experiments;
s2, obtaining a retention value equation of each component and a formula for calculating chromatographic peak width: establishing a retention value equation and a chromatographic peak width calculation formula for describing the relationship between the mobile phase proportion and the capacity factor for each component in the sample on the premise of the selected test temperature and the selected eluent;
s3, predicting the retention time of the components, integrating the moving speed of each component in any mobile phase proportion by using a retention value equation to obtain a total distance formula for each component of the sample to move in a chromatographic column under a linear multi-step gradient condition, and calculating the retention time of each component by combining the length of the chromatographic column;
s4, optimizing the gradient of the flow phase ratio: given the minimum separation degree, the maximum separation degree and the maximum experiment time requirements, according to the step S3, under the condition of the set flow phase ratio, the retention time of each component is calculated, and the optimal proportion is selected, so that the chromatographic peak baseline separation degrees of all the components in the sample meet the requirements.
Further, in step S2, the retention value equation is: the ln K is a + b ln f + cf, wherein a, b and c are the chromatographic characteristic constants to be detected; k is a capacity factor; f is the volume fraction of the eluent in the binary mobile phase, namely the mobile phase proportion;
the capacity factor K of each component is determined by the formula tR=t0(1+ K) is calculated, wherein tRIs retention time, t0Is the chromatographic column dead time; measuring the dead time of the chromatographic column, measuring the retention time of the component in different flow phase proportions, calculating corresponding K values, and fitting constants of a retention value equation with the flow phase proportions;
the relationship between chromatographic peak width and retention time and dead time is as follows:wherein n iseffEffective theoretical plate number, W is chromatographic peak width;
for each component, the procedure was as follows:
a) selecting a plurality of different mobile phase proportion points, and respectively measuring the retention time t of the component under different proportionsRAnd a peak width W;
b) according to tR=t0(1+ K) calculating a corresponding capacity factor K under each volume fraction;
c) carrying out linear fitting on the flowing phase proportion f and the corresponding capacity factor K, and calculating a and c in a retention value equation;
d) for peak width W and retention time tRPerforming polynomial fitting to determine W and tRPolynomial coefficients of the relationship;
repeating the above process for each component standard sample to obtain the retention value equation and peak width calculation formula of all components.
Further, in step S3, under the multi-step linear gradient elution condition, the mobile phase ratio at any time is:
wherein t isi、ti+1The starting times of the i-th and i + 1-th order gradients, fi、fi+1Starting volume fractions of the ith and i +1 th order gradients respectively;
the moving speed of the components in any flowing phase ratio is L/(t)0+t0*Ki) The general formula of the total distance traveled by the components is obtained by integrating the velocity over time:
where Δ tiThe moving distance of the components under the influence of the ith-order mobile phase is divided by the flow velocity of the mobile phase, namely the time for the ith-order mobile phase to completely flow through the moving distance of the object to be detected under the influence of the ith-order mobile phase, and L is the length of the chromatographic column;
determining the order i according to the length of the chromatographic column, so that the components move the total distance L under the influence of the flow phase proportion of the ith and (i + 1) th ordersi、Li+1Satisfy when Li<L<Li+1And constructing a relational equation of the length of the chromatographic column and the total moving distance of each component by using variable upper limit integral, wherein the equation is normalized as follows:
in the equation, x is the retention time of the component.
Further, the step S4 includes the following steps,
a) setting the initial order of the gradient of the mobile phase to be 0, the ending time of the previous step to be 0, and setting the initial components to be optimized to be all components;
b) adding 1 to the order, and determining the gradient value and the ending time of the mobile phase of the last order to be calculated; setting the variation range of the flow phase ratio of the last stage to be 1-100%, the variation step length to be 1% and the calculation initial value to be 1%;
c) combining the current mobile phase proportion to be calculated with the previously determined gradients of each order and the corresponding end time to generate a gradient sequence and a time sequence, calculating retention time, peak width and separation degree according to the method, and recording:
c1) calculating the retention time of all components under the proportional condition according to step S3;
c2) calculating the peak width values of all the components according to the polynomial coefficient of the relation between the peak width W and the retention time in the step S2;
c3) according toCalculating the separation degree between adjacent chromatographic peaks, wherein R is the separation degree, tR1And tR2Respectively representing the retention time of two adjacent chromatographic peaks;
c4) recording the current proportion, the retention time of all components and the separation degree of all components, and sequencing the retention time from small to large;
d) taking down a proportion value according to the specified step length, and repeating the step c) until all proportion change ranges to be calculated in the current last step are calculated;
e) and selecting the gradient value of the last step according to all the recorded data corresponding to the proportion change range of the last step under the current order:
e1) comparing the minimum separation degrees in the components to be optimized under the conditions of all proportions, marking all the minimum separation degrees as a set A, selecting the maximum value of the set A when all elements in the set A are smaller than a given minimum value, and otherwise, selecting the minimum element in the elements which are larger than the given minimum value in the set A;
e2) selecting the mobile phase proportion corresponding to the element selected in the step e1), and determining the mobile phase proportion as the mobile phase gradient value of the last stage;
f) eliminating components which do not need to be optimized in the remaining components to be optimized:
f1) the minimum value of the separation degree selected in the step e) corresponds to two components, all the components with shorter retention time and the minimum value of the separation degree are removed, and the maximum value of the retention time in the removed components is recorded;
f2) if more than one component to be optimized exists, scanning the separation degrees among the components from back to front in sequence until the separation degree is smaller than a set minimum value, removing the finally scanned component and the component with shorter retention time, and recording the maximum value of the retention time in the removed component;
f3) if more than one component to be optimized exists, scanning the separation degree from front to back in sequence until the separation degree is larger than the set maximum value, rejecting the component scanned last and the component with shorter retention time, and recording the maximum value of the retention time in the rejected component;
g) if the number of the components to be optimized is less than two, the optimization is completed, and the final gradient does not need to be finished; otherwise, taking the retention time of the last record as the end time of the current gradient step, and repeating the steps b) -f) to calculate the gradient value of the mobile phase of the last step.
Advantageous effects
The method uses the high performance liquid chromatography to separate m components in a sample to be detected, and requires that chromatographic peaks of various substances on a chromatogram are fully separated and are not excessively separated. Generally, the minimum separation degree and the maximum separation degree are used for evaluation, the minimum separation degree is used for ensuring that the chromatographic peaks of all components are separated sufficiently, the maximum separation degree ensures that the total experimental time is not too long, the instrument time and the chemical consumption are saved, and the generation of pollutants is reduced.
Detailed Description
The technical scheme adopted by the specific implementation mode is that the method is used for the gradient optimization of the high performance liquid chromatography flowing phase ratio, and comprises the following steps:
1.1 preliminary selection of Experimental conditions
Selecting standard samples of each component in the sample, respectively taking different eluents as mobile phases, and measuring the separation effect of each substance at different temperatures so as to select proper eluents and test temperatures. The criteria for selection of the eluent and the test temperature are the minimum of the peak separation (R) of the substances under the conditionsmin) And max.
1.2 formula for obtaining retention value equation of each component and calculating chromatographic peak width
Under the premise of the selected test temperature and eluent, a retention value equation describing the relationship between the mobile phase proportion and the capacity factor of each component in the sample and the chromatographic peak width are established.
The retention value equation is: lnK is a + blnf + cf, wherein a, b and c are to-be-detected chromatographic characteristic constants; k is a capacity factor; f is the volume fraction of eluent in the binary mobile phase, i.e. the mobile phase proportion. In practical application, blnf is negligible, so only a and c need to be obtained. The capacity factor K of each component can be represented by the formula tR=t0(1+ K) is calculated, where tRIs retention time, t0And d, measuring the retention time under different mobile phase proportions to obtain the dead time, and fitting to obtain a and c.
The relationship between chromatographic peak width and retention time and dead time is as follows:wherein n iseffEffective theoretical plate number, W is chromatographic peak width. Here, W and t are determined by polynomial fittingRThe relationship (2) of (c).
For each component, the procedure was as follows:
1) selecting a plurality of different mobile phase proportion points, and respectively measuring the retention time t of the component under different proportionsRAnd a peak width W;
2) according to tR=t0(1+ K) calculating a corresponding capacity factor K under each volume fraction;
3) carrying out linear fitting on the flowing phase proportion f and the corresponding capacity factor K, and calculating a and c in a retention value equation;
4) for peak width W and retention time tRPerforming polynomial fitting to determine W and tRPolynomial coefficients of the relationship;
repeating the above process for each component standard sample to obtain retention value equation and chromatographic peak width calculation formula of all components.
1.3 prediction method of component retention time
And (3) integrating the moving speed of each component in any mobile phase proportion by using a retention value equation to obtain a total distance formula of each component of the sample moving in the chromatographic column under the condition of linear multi-step gradient, and calculating the retention time of each component by combining the length of the chromatographic column.
Under the condition of multi-stage linear gradient elution, the proportion of mobile phases at any time is as follows:
wherein t isi、ti+1The starting times of the i-th and i + 1-th order gradients, fi、fi+1Starting volume fractions of the ith and i +1 th order gradients respectively;
the moving speed of the components in any flowing phase ratio is L/(t)0+t0*Ki) The general formula of the total distance traveled by the components is obtained by integrating the velocity over time:
where Δ tiAs a component in the ith mobile phaseDividing the moving distance under the influence by the flow velocity of the mobile phase, namely the time for the ith mobile phase to completely flow through the moving distance of the object to be detected under the influence, wherein L is the length of the chromatographic column;
determining the order i according to the length of the chromatographic column, so that each component moves the total distance L in the column under the influence of the flow ratio of the ith order and the (i + 1) th orderi、Li+1Satisfy when Li<L<Li+1And constructing a relational equation of the length of the chromatographic column and the total moving distance of each component in the column by using variable upper limit integral, wherein the normalized relational equation is as follows:
in the equation, x is the retention time of the component.
1.4 mobile phase proportional gradient optimization procedure
And giving the minimum value of the separation degree, the maximum value of the separation degree and the maximum experiment time requirement. And calculating the separation degree smaller than the minimum value without optimization.
According to the retention time prediction method, under the condition of a set flowing phase ratio, the retention time of each component is calculated, and an optimal proportion is selected from the results according to the principle of optimal separation degree, so that the chromatographic peak baseline separation degree of all components in the sample meets the requirement.
The method comprises the following steps:
a) setting the initial order of the gradient of the mobile phase to be 0, the ending time of the previous order to be 0, and setting the initial components to be optimized to be all the components.
b) Adding 1 to the order, and determining the gradient value and the ending time of the mobile phase of the last order to be calculated; setting the variation range of the flow phase ratio of the last stage to be 1-100%, the variation step length to be 1% and the calculation initial value to be 1%.
c) Combining the current mobile phase proportion to be calculated with the previously determined gradients of each order and the corresponding end time to generate a gradient sequence and a time sequence, calculating retention time, peak width and separation degree according to the method, and recording:
c1) calculating the retention time of all components under the proportional condition according to a method 1.3;
c2) according to 1.2 peak width W and retention time tRCalculating the peak width values of all components according to the polynomial coefficient and retention time of the relation;
c3) according toCalculating the separation degree between adjacent chromatographic peaks, wherein R is the separation degree, tR1And tR2Respectively representing the retention time of two adjacent chromatographic peaks;
c4) recording the current proportion, the retention time of all components and the separation degree of all components, and sequencing the retention time from small to large.
d) And c), taking down a proportion value according to the specified step length, and repeating the step c) until all proportion change ranges to be calculated in the current last step are calculated.
e) And selecting the gradient value of the last step according to all the recorded data corresponding to the proportion change range of the last step under the current order:
e1) comparing the minimum separation degrees in the components to be optimized under the conditions of all proportions, marking all the minimum separation degrees as a set A, selecting the maximum value of the set A when all elements in the set A are smaller than a given minimum value, and otherwise, selecting the minimum element in the elements which are larger than the given minimum value in the set A;
e2) selecting the mobile phase proportion corresponding to the element selected in the step e1), and determining the mobile phase proportion as the mobile phase gradient value of the last step.
f) Eliminating components which do not need to be optimized in the remaining components to be optimized:
f1) the minimum value of the separation degree selected in the step e) corresponds to two components, all the components with shorter retention time and the minimum value of the separation degree are removed, and the maximum value of the retention time in the removed components is recorded;
f2) if more than one component to be optimized exists, scanning the separation degrees among the components from back to front in sequence until the separation degree is smaller than a set minimum value, removing the finally scanned component and the component with shorter retention time, and recording the maximum value of the retention time in the removed component;
f3) if more than one component to be optimized exists, the separation degrees are scanned from front to back in sequence until the separation degree is larger than the set maximum value, the component scanned last and the component with shorter retention time are removed, and the maximum value of the retention time in the removed component is recorded.
g) If the number of the components to be optimized is less than two, the optimization is completed, and the final gradient does not need to be finished; otherwise, taking the retention time of the last record as the end time of the current gradient step, and repeating the steps b) -f) to calculate the gradient value of the mobile phase of the last step.
Examples
The instrument comprises the following steps: KH-700DE model digital controlled ultrasonic cleaner (Hematoultus ultrasonic instruments, Inc., China), Mettlerlidol MS-105DU electronic analytical balance (Mettlerlidol, Switzerland). A ThermoFisher Ultimate 3000 HPLC is equipped with a DGP-3600RS dual triple pump, a WPS-3000TRS autosampler, a TCC-3000 column oven with a six-way valve, a FLD-3400RS fluorescence detector, and a Chromeleon 7.10 workstation (Sammer Feishel technologies, USA).
Chromatographic conditions are as follows: sunfire C18Chromatography columns (4.6mm x 250mm i.d., 5 μm, Voltern technologies, Inc., USA); mobile phase: methanol (a) -water (B) or acetonitrile (a) -water (B) sample amount: 20 mu L of the solution; flow rate: 0.9 mL/min; detection wavelength: the excitation wavelength was 228nm and the emission wavelength was 306 nm.
Substance to be tested: bisphenol A (BPA), bisphenol B (BPB), bisphenol AF (BPAF), bisphenol AP (BPAP), bisphenol C (BPC), bisphenol fluorene (BPHF), bisphenol Z (BPZ), bisphenol P (BPP), tetramethylbisphenol A (TMBPA).
And (3) testing environment: the separation effect of the substance to be tested in the methanol (A) -water (B) and acetonitrile (A) -water (B) systems at different temperatures (30 ℃ and 50 ℃) was measured, respectively. The minimum value of the separation degree of adjacent substances (R) is observed by visual observation when the methanol (A) -water (B) is used as a mobile phase system and the column temperature is 30 DEG Cmin) At maximum, so the optimization is chosen to continue under this condition.
The column temperature was set at 30 ℃ and the retention time, peak area, peak height and peak width of 9 compounds were measured at 65%, 70% and 75% methanol by volume using methanol (a) -water (B) as the mobile phase system, as shown in the following table:
results of separation of 65% methanol water
70% methanol water isocratic separation results
75% methanol water isocratic separation results
Visual observation shows that under the isocratic conditions, all the substances cannot be completely separated from the base line, so that the retention time of the measured compound, namely the dead time of the instrument is 2.7min, the retention time of the instrument is 1.1min, and the data are input into the gradient prediction system, and the obtained prediction gradient program, retention time, peak area and peak width are as follows:
software prediction value
The predicted gradient is used for separating and analyzing 9 substances to be detected, and the experimental verification result is as follows:
measured value of experiment
The above embodiments are only intended to illustrate the technical solution of the present invention and not to limit the same, and a person of ordinary skill in the art can make modifications or equivalents to the specific embodiments of the present invention with reference to the above embodiments, and such modifications or equivalents without departing from the spirit and scope of the present invention are within the scope of the claims of the present invention as set forth in the claims.
Claims (1)
1. The method for optimizing the proportional gradient of the mobile phase of the high performance liquid chromatography is characterized by comprising the following steps of:
s1, preliminarily selecting experimental conditions: selecting standard samples of all components in a sample, respectively taking different eluents as mobile phases, measuring and calculating the separation degree of chromatographic peaks of all substances under different temperature conditions, and selecting the eluent with the minimum separation degree and the maximum test temperature as subsequent experiments;
s2, obtaining a retention value equation of each component and a formula for calculating chromatographic peak width: establishing a retention value equation and a chromatographic peak width calculation formula for describing the relationship between the mobile phase proportion and the capacity factor for each component in the sample on the premise of the selected test temperature and the selected eluent;
the retention value equation is: lnK is a + blnf + cf, wherein a, b and c are to-be-detected chromatographic characteristic constants; k is a capacity factor; f is the volume fraction of the eluent in the binary mobile phase, namely the mobile phase proportion;
the capacity factor K of each component is determined by the formula tR=t0(1+ K) is calculated, wherein tRIs retention time, t0Is the chromatographic column dead time; measuring the dead time of the chromatographic column, measuring the retention time of the component in different flow phase proportions, calculating corresponding K values, and fitting constants of a retention value equation with the flow phase proportions;
the relationship between chromatographic peak width and retention time and dead time is as follows:wherein n iseffIs the effective theoretical plate number, and w is the chromatographic peak width;
s3, predicting the retention time of the components, integrating the moving speed of each component in any mobile phase proportion by using a retention value equation to obtain a total distance formula for each component of the sample to move in a chromatographic column under a linear multi-step gradient condition, and calculating the retention time of each component by combining the length of the chromatographic column;
under the condition of multi-order linear gradient elution, the proportion of mobile phases at any time is as follows:
wherein, ti、ti+1The starting times of the i-th and i + 1-th order gradients, fi、fi+1Starting volume fractions of the ith and i +1 th order gradients respectively;
the moving speed of the components in any flowing phase ratio is L/(t)0+t0*Ki) The general formula of the total distance traveled by the components is obtained by integrating the velocity over time:
wherein, Δ tiThe moving distance of the components under the influence of the ith-order mobile phase is divided by the flow velocity of the mobile phase, namely the time for the ith-order mobile phase to completely flow through the moving distance of the object to be detected under the influence of the ith-order mobile phase, and L is the length of the chromatographic column;
determining the order i according to the length of the chromatographic column, so that the components move the total distance L under the influence of the flow phase proportion of the ith and (i + 1) th ordersi、Li+1Satisfy when Li<L<Li+1And constructing a relational equation of the length of the chromatographic column and the total moving distance of each component by using variable upper limit integral, wherein the equation is normalized as follows:
in the equation, x is the retention time of the component;
s4, optimizing the gradient of the flow phase ratio: giving the minimum value, the maximum value and the maximum experiment time requirement of the separation degree, calculating the retention time of each component under the condition of the set flowing phase ratio according to the step S3, and selecting the optimal proportion to ensure that the chromatographic peak baseline separation degree of all components in the sample meets the requirement;
a) setting the initial order of the gradient of the mobile phase to be 0, the ending time of the previous step to be 0, and setting the initial components to be optimized to be all components;
b) adding 1 to the order, and determining the gradient value and the ending time of the mobile phase of the last order to be calculated; setting the variation range of the flow phase ratio of the last stage to be 1-100%, the variation step length to be 1% and the calculation initial value to be 1%;
c) combining the proportion of the current mobile phase to be calculated with the previously determined gradients of each order and the corresponding end time to generate a gradient sequence and a time sequence, calculating retention time, peak width and separation degree, and recording:
c1) calculating the retention time of all components under the proportional condition according to step S3;
c2) calculating the peak width values of all the components according to the polynomial coefficient and retention time of the relation between the peak width W and the retention time tR in the step S2;
c3) according toCalculating the separation degree between adjacent chromatographic peaks, wherein R is the separation degree, tR1And tR2Respectively representing the retention time of two adjacent chromatographic peaks;
c4) recording the current proportion, the retention time of all components and the separation degree of all components, and sequencing the retention time from small to large;
d) taking down a proportion value according to the specified step length, and repeating the step c) until all proportion change ranges to be calculated in the current last step are calculated;
e) and selecting the gradient value of the last step according to all the recorded data corresponding to the proportion change range of the last step under the current order:
e1) comparing the minimum separation degrees in the components to be optimized under the conditions of all proportions, marking all the minimum separation degrees as a set A, selecting the maximum value of the set A when all elements in the set A are smaller than a given minimum value, and otherwise, selecting the minimum element in the elements which are larger than the given minimum value in the set A;
e2) selecting the mobile phase proportion corresponding to the element selected in the step e1), and determining the mobile phase proportion as the mobile phase gradient value of the last stage;
f) eliminating components which do not need to be optimized in the remaining components to be optimized:
f1) the minimum value of the separation degree selected in the step e) corresponds to two components, all the components with shorter retention time and the minimum value of the separation degree are removed, and the maximum value of the retention time in the removed components is recorded;
f2) if more than one component to be optimized exists, scanning the separation degrees among the components from back to front in sequence until the separation degree is smaller than a set minimum value, removing the finally scanned component and the component with shorter retention time, and recording the maximum value of the retention time in the removed component;
f3) if more than one component to be optimized exists, scanning the separation degree from front to back in sequence until the separation degree is larger than the set maximum value, rejecting the component scanned last and the component with shorter retention time, and recording the maximum value of the retention time in the rejected component;
g) if the number of the components to be optimized is less than two, the optimization is completed, and the final gradient does not need to be finished; otherwise, taking the retention time of the last record as the end time of the current gradient step, and repeating the steps b) -f) to calculate the gradient value of the mobile phase of the last step.
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CN104820048A (en) * | 2015-03-20 | 2015-08-05 | 常州南京大学高新技术研究院 | Optimizing method for gradient separation conditions of liquid chromatography |
CN105388240B (en) * | 2015-11-20 | 2018-07-10 | 常州南京大学高新技术研究院 | The computational methods of chromatographic peak width available for the optimization of area of computer aided condition of gradient elution |
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