Liquid chromatograph, device and method for calculating elution time, and device and method for determining mixture ratio
Abstract
Provided that elapsed time from the start of the flow-in of an eluent into a column is t 0 and the mobility R f c (t/t 0 ) of a component c in a sample is represented by a function of elapsed time t from the start of the flow-in of a sample into the column, elution time t r c from the flow-in of the sample into the column to the flow-out of the component c from the column is calculated by using Equation (1). In doing so, the mobility R f c (t/t 0 ) in Equation (1) is represented by Equation (2). ∫ 0 t r c R f c ( t t 0 ) ( t t 0 ) = 1 ( 1 ) R f c ( t t 0 ) = 1 - - a ( t t 0 ) + b ( 2 )
Claims
exact text as granted — not AI-modified1 . A liquid chromatograph comprising:
a mixture ratio change rate storage unit configured to store a rate of change in a mixture ratio of two solvents, which rate linearly changes from a first mixture ratio to a second mixture ratio higher than the first mixture ratio from a timing T 0 to a timing T 1 ; a mixing unit configured to generate an eluent in which the mixture ratio of the two solvents changes in accordance with the rate of change stored in the mixture ratio change rate storage unit; a column through which a sample composed of a plurality of components and the eluent generated by the mixing unit pass; a mobility storage unit configured to store the mobility R f c (t/t 0 ) of a component c in the sample, as a function of a timing t indicating elapsed time from the start of flow-in of the sample into the column to the start of flow-out of the sample from the column, provided that elapsed time from the start of flow-in of the eluent into the column to the start of flow-out of the eluent from the column is represented as t 0 ; and an elution time calculating unit configured to calculate elution time t r c from the start of the flow-in of the sample into the column to the elution of the component c from the column, by using Equation (1), the mobility R f c (t/t 0 ) stored in the mobility storage unit being represented by Equation (2),
∫
0
t
r
c
R
f
c
(
t
t
0
)
(
t
t
0
)
=
1
(
1
)
R
f
c
(
t
t
0
)
=
1
-
-
a
(
t
t
0
)
+
b
(
2
)
wherein a indicates the rate of change in the mixture ratio whereas b indicates a constant regarding the initial mobility.
2 . A liquid chromatograph comprising:
an elution time storage unit configured to store elution time t r c from the start of flow-in of a sample composed of a plurality of components into a column to elution of a component c in the sample from the column; a mixing unit configured to generate an eluent by mixing two solvents at a mixture ratio that linearly changes from a first mixture ratio to a second mixture ratio higher than the first mixture ratio from a timing T 0 to a timing T 1 ; a column through which a sample composed of a plurality of components and the eluent generated by the mixing unit pass; a mobility storage unit configured to store the mobility R f c (t/t 0 ) of a component c in the sample, as a function of a timing t indicating elapsed time from the start of flow-in of the sample into the column to the start of flow-out of the sample from the column, provided that elapsed time from the start of flow-in of the eluent into the column to the start of flow-out of the eluent from the column is represented as t 0 ; and a mobility determining unit configured to calculate a rate of change a of the mixture ratio and a constant b regarding initial mobility to satisfy Equation (1) for the elution time t r c of the component c stored in the elution time storage unit, so as to figure out the mobility R f c (t/t 0 ) of the component c, the mobility R f c (t/t 0 ) stored in the mobility storage unit being represented by Equation (2),
∫
0
t
r
c
R
f
c
(
t
t
0
)
(
t
t
0
)
=
1
(
1
)
R
f
c
(
t
t
0
)
=
1
-
-
a
(
t
t
0
)
+
b
(
2
)
wherein a indicates the rate of change in the mixture ratio whereas b indicates a constant regarding the initial mobility.
3 . An elution time calculator for liquid chromatography in which an eluent is generated by mixing two solvents while linearly changing a mixture ratio of the two solvents and the generated eluent and a sample composed of a plurality of components pass through a column, the elution time calculator calculating elution time t r c from the start of flow-in of the sample into the column to elution of a component c in the sample from the column, comprising:
a mixture ratio change rate storage unit configured to store a rate of change in the mixture ratio of the two solvents, which rate linearly changes from a first mixture ratio to a second mixture ratio higher than the first mixture ratio from a timing T 0 to a timing T 1 ; a mobility storage unit configured to store the mobility R f c (t/t 0 ) of the component c in the sample, as a function of a timing t indicating elapsed time from the start of flow-in of the sample into the column to the start of flow-out of the sample from the column, provided that elapsed time from the start of flow-in of the eluent into the column to the start of flow-out of the eluent from the column is represented as t 0 ; and an elution time calculating unit configured to calculate elution time t r c of the component c by using Equation (1), the mobility R f c (t/t 0 ) stored in the mobility storage unit being represented by Equation (2),
∫
0
t
r
c
R
f
c
(
t
t
0
)
(
t
t
0
)
=
1
(
1
)
R
f
c
(
t
t
0
)
=
1
-
-
a
(
t
t
0
)
+
b
(
2
)
wherein a indicates the rate of change in the mixture ratio whereas b indicates a constant regarding the initial mobility.
4 . A mixture ratio determining device for liquid chromatography in which an eluent is generated by mixing two solvents at a mixture ratio that is linearly changed from a first mixture ratio to a second mixture ratio higher than the first mixture ratio from a timing T 0 to a timing T 1 , and the generated eluent and a sample composed of a plurality of components pass through a column, the mobility determining device calculating mobility R f c (t/t 0 ) of the component c in elution time t r c from the start of flow-in of the sample into the column to elution of a component c in the sample from the column, comprising:
an elution time storage unit configured to store the elution time t r c of the component c;
a mobility storage unit configured to store the mobility R f c (t/t 0 ) of the component c in the sample, as a function of a timing t indicating elapsed time from the start of flow-in of the sample into the column to the start of flow-out of the sample from the column, provided that elapsed time from the start of flow-in of the eluent into the column to the start of flow-out of the eluent from the column is represented as t 0 ; and
a mobility determining unit configured to calculate a rate of change a of the mixture ratio and a constant b regarding initial mobility to satisfy Equation (1) for the elution time t r c of the component c stored in the elution time storage unit, so as to figure out the mobility R f c (t/t 0 ) of the component c,
the mobility R f c (t/t 0 ) stored in the mobility storage unit being represented by Equation (2),
∫
0
t
r
c
R
f
c
(
t
t
0
)
(
t
t
0
)
=
1
(
1
)
R
f
c
(
t
t
0
)
=
1
-
-
a
(
t
t
0
)
+
b
(
2
)
wherein a indicates the rate of change in the mixture ratio whereas b indicates a constant regarding the initial mobility.
5 . An elution time calculating method for liquid chromatography in which an eluent is generated by mixing two solvents at a mixture ratio that is linearly changed from a first mixture ratio to a second mixture ratio higher than the first mixture ratio from a timing T 0 to a timing T 1 , and the generated eluent and a sample composed of a plurality of components pass through a column, the method calculating elution time t r c from the start of flow-in of the sample into the column to elution of a component c in the sample from the column, comprising the steps of:
determining a rate of change in the mixture ratio of the two solvents; and
provided that elapsed time from the start of flow-in of the eluent into the column to the start of flow-out of the eluent from the column is represented as t 0 and the mobility R f c (t/t 0 ) of the component c in the sample is a function of a timing t indicating elapsed time from the start of flow-in of the sample into the column to the start of flow-out of the sample from the column, calculating an elution time t r c of the component c based on Equation (1),
the mobility R f c (t/t 0 ) being represented by Equation (2),
∫
0
t
r
c
R
f
c
(
t
t
0
)
(
t
t
0
)
=
1
(
1
)
R
f
c
(
t
t
0
)
=
1
-
-
a
(
t
t
0
)
+
b
(
2
)
wherein a indicates the rate of change in the mixture ratio whereas b indicates a constant regarding the initial mobility.
6 . A mixture ratio determining method for liquid chromatography in which an eluent is generated by mixing two solvents at a mixture ratio that is linearly changed from a first mixture ratio to a second mixture ratio higher than the first mixture ratio from a timing T 0 to a timing T 1 , and the generated eluent and a sample composed of a plurality of components pass through a column, the method calculating mobility R f c (t/t 0 ) of a component c in elution time t r c from the start of flow-in of the sample into the column to elution of the component c in the sample from the column, comprising the steps of:
determining the elution time t r c from the start of flow-in of the sample into the column to elution of the component c in the sample from the column; and
provided that elapsed time from the start of flow-in of the eluent into the column to the start of flow-out of the eluent from the column is represented as t 0 and the mobility R f c (t/t 0 ) of the component c in the sample is a function of a timing t indicating elapsed time from the start of flow-in of the sample into the column to the start of flow-out of the sample from the column, calculating the mobility R f c (t/t 0 ) of the component c by calculating a rate of change a of the mixture ratio and a constant b regarding initial mobility based on Equation (1) for the elution time t r c of the component c,
the mobility R f c (t/t 0 ) being represented by Equation (2),
∫
0
t
r
c
R
f
c
(
t
t
0
)
(
t
t
0
)
=
1
(
1
)
R
f
c
(
t
t
0
)
=
1
-
-
a
(
t
t
0
)
+
b
(
2
)
wherein a indicates the rate of change in the mixture ratio whereas b indicates a constant regarding the initial mobility.
7 . A non-transitory computer program product for calculating elution time for liquid chromatography in which an eluent is generated by mixing two solvents at a mixture ratio that is linearly changed, and the generated eluent and a sample composed of a plurality of components pass through a column, the computer program product used for calculating elution time t r c from the start of flow-in of the sample into the column to elution of a component c in the sample from the column and causing a computer to function as:
a mixture ratio change rate storage unit configured to store a rate of change in the mixture ratio of the two solvents, which rate linearly changes from a first mixture ratio to a second mixture ratio higher than the first mixture ratio from a timing T 0 to a timing T 1 ; a mobility storage unit configured to store the mobility R f c (t/t 0 ) of the component c in the sample, as a function of a timing t indicating elapsed time from the start of flow-in of the sample into the column to the start of flow-out of the sample from the column, provided that elapsed time from the start of flow-in of the eluent into the column to the start of flow-out of the eluent from the column is represented as t 0 ; and an elution time calculating unit configured to calculate elution time t r c of the component c by using Equation (1), the mobility R f c (t/t 0 ) stored in the mobility storage unit being represented by Equation (2),
∫
0
t
r
c
R
f
c
(
t
t
0
)
(
t
t
0
)
=
1
(
1
)
R
f
c
(
t
t
0
)
=
1
-
-
a
(
t
t
0
)
+
b
(
2
)
wherein a indicates the rate of change in the mixture ratio whereas b indicates a constant regarding the initial mobility.
8 . A non-transitory computer program product for determining mixture ratio for liquid chromatography in which an eluent is generated by mixing two solvents at a mixture ratio that is linearly changed from a first mixture ratio to a second mixture ratio higher than the first mixture ratio from a timing T 0 to a timing T 1 , and the generated eluent and a sample composed of a plurality of components pass through a column, the computer program product used for calculating mobility R f c (t/t 0 ) of the component c in elution time t r c from the start of flow-in of the sample into the column to elution of a component c in the sample from the column and causing a computer to function as:
an elution time storage unit configured to store the elution time t r c of the component c;
a mobility storage unit configured to store the mobility R r c (t/t 0 ) of the component c in the sample, as a function of a timing t indicating elapsed time from the start of flow-in of the sample into the column to the start of flow-out of the sample from the column, provided that elapsed time from the start of flow-in of the eluent into the column to the start of flow-out of the eluent from the column is represented as t 0 ; and
a mobility determining unit configured to calculate a rate of change a of the mixture ratio and a constant b regarding initial mobility to satisfy Equation (1) for the elution time t r c of the component c stored in the elution time storage unit, so as to figure out the mobility R f c (t/t 0 ) of the component c,
the mobility R f c (t/t 0 ) stored in the mobility storage unit being represented by Equation (2),
∫
0
t
r
c
R
f
c
(
t
t
0
)
(
t
t
0
)
=
1
(
1
)
R
f
c
(
t
t
0
)
=
1
-
-
a
(
t
t
0
)
+
b
(
2
)
wherein a indicates the rate of change in the mixture ratio whereas b indicates a constant regarding the initial mobility.Cited by (0)
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