Multicapillary packing chromatography method
AssigneeSeparative
InventorFrancois Parmentier
Life of this patent
Estimating the term…
Abstract
Chromatography method in which a gaseous, liquid or supercritical mobile phase containing species to be separated is circulated through a packing, said packing being characterized in that: —it comprises a plurality of capillary ducts extending in the packing between an upstream face through which the mobile phase enters the packing and a downstream face through which the mobile phase leaves the packing—the material of the walls comprises a first population of connected pores, providing passages from one duct to the next enabling molecular diffusion to take place between adjacent ducts, pores having a mean diameter (dpore) of greater than 2 times the molecular diameter of at least one species to be separated—the diameter of the ducts is less than 50 μm.
Claims13
A chromatography method in which a gaseous mobile phase is circulated, containing species to be separated through a packing comprising a stationary phase, wherein
- the packing includes a plurality of capillary conduits extending in the packing between an upstream face through which the mobile phase penetrates into the packing and a downstream face through which the mobile phase emerges from the packing,
- the material of the walls of said conduits includes a network of connected pores, said pores forming passages from one conduit to the other allowing molecular diffusion to be operated between adjacent conduits, said pores having an average diameter greater than a mean free path of the molecules of the species to be separated,
- the average diameter of the conduits is less than 50 μm,
- wherein:
- the method comprises computing a relative dispersion height ratio of a theoretical plate height of the packing due to inhomogeneities of the packing over a total theoretical plate height of the packing and adjusting at least one operative parameter of the chromatography or at least one morphologic feature of the packing so that said relative dispersion height ratio is less than 0.66,
- the species to be separated have a molecular radius Rh in the elution solvent, a molecular diffusivity Do in the elution solvent, a molecular diffusivity Ds in or on the stationary phase, a sharing coefficient K between the stationary phase and the elution solvent, a retention factor k′ in the chromatographic column defined by the formula:
- k
- ′
- =
- t
- R
- -
- t
- 0
- t
- 0
- ,
- wherein to is a retention time of a non-retained compound and tR is a retention time of a retained compound, and
- the packing includes conduits of an average diameter dc separated with walls of an average thickness de for which the irregularity is defined by a standard deviation of the diameter dc reduced to its average SigmaD, by a standard deviation of the thickness de reduced to its average SigmaE, and by a standard deviation of the length of the conduits reduced to its average SigmaL,
- the constitutive porous material of the walls has a porous volume fraction P, a volume fraction of stationary phase fVolStat or a specific adsorption surface area S, a tortuosity T=1−0.8*ln(P), and the network of connected pores has a diameter dpore,
- the mobile phase flows with an average velocity vc in the conduits and
- the method comprises computing the theoretical plate height (Hdisp) due to the inhomogeneities of the packing based on the relationship:
-
- H
- disp
- =
- 0.778
- ⋆
- v
- 0
- ⋆
- (
- FKD
- ⋆
- SigmaD
- 2
- +
- FKE
- ⋆
- SigmaE
- 2
- +
- FKL
- ⋆
- SigmaL
- 2
- )
- ⋆
- (
- d
- c
- +
- d
- e
- )
- 2
- FDiff
- ⋆
- FDil
- ⋆
- (
- 1
- +
- k
- ′
- )
- ⋆
- 2
-
- wherein
-
- :
-
-
- v
- 0
-
-
-
- is
-
-
- the
-
-
- elution
-
-
- velocity
-
-
- of
-
-
- a
-
-
- non
-
-
- -
-
- retained
-
-
- compound
-
-
- by
-
-
- the
-
-
- stationary
-
-
- phase
-
-
- FKD
- =
- (
- 2
- +
- 3
- ⋆
- k
- ′
- 1
- +
- k
- ′
- )
- 2
-
- FKE
- =
- (
- k
- 0
- ⋆
- PB
- (
- 1
- +
- k
- 0
- )
- )
- 2
-
- FKL
- =
- 4
-
- k
- 0
- =
- (
- f
- VolStat
- ⋆
- K
- +
- P
- )
- ⋆
- d
- e
- ⋆
- (
- 2
- ⋆
- d
- c
- +
- d
- e
- )
- d
- c
- 2
-
- PB
- =
- (
- 2
- ⋆
- d
- c
- +
- 2
- ⋆
- d
- e
- )
- (
- 2
- ⋆
- d
- c
- +
- d
- e
- )
-
- Fdiff
- =
- d
- c
- +
- d
- e
- d
- c
- DC
- +
- d
- e
- DE
-
- DC
- =
- d
- c
- ⋆
- d
- c
- ⋆
- D
- 0
- +
- [
- (
- d
- c
- +
- d
- e
- )
- ⋆
- (
- d
- c
- +
- d
- e
- )
- -
- d
- c
- ⋆
- d
- c
- ]
- ⋆
- DE
- (
- d
- c
- +
- d
- e
- )
- ⋆
- (
- d
- c
- +
- d
- e
- )
- DE
- =
- D
- 0
- ⋆
- P
- ⋆
- C
- ⋆
- (
- P
- +
- f
- VolStat
- )
- T
- ⋆
- (
- P
- +
- f
- VolStat
- ⋆
- K
- )
- +
- D
- s
- ⋆
- f
- VolStat
- ⋆
- C
- ⋆
- K
- ⋆
- (
- P
- +
- f
- VolStat
- )
- T
- ⋆
- (
- P
- +
- f
- VolStat
- ⋆
- K
- )
-
- FDil
- =
- d
- c
- 2
- (
- d
- c
- 2
- +
- (
- (
- d
- c
- +
- d
- e
- )
- 2
- -
- d
- c
- 2
- )
- ⋆
- (
- P
- +
- f
- VolSat
- ⋆
- K
- )
- )
- C is a correction coefficient of the diffusivity in a free medium related to the size of the pores and to the diameter of the molecules to be separated.
A chromatography method comprising:
- selecting a mobile phase containing at least one species to be separated;
- selecting a packing comprising a stationary phase, wherein
- the packing includes a plurality of capillary conduits extending in the packing between an upstream face through which the mobile phase penetrates into the packing and a downstream face through which the mobile phase emerges from the packing,
- the material of the walls of said conduits includes a network of connected pores, said pores forming passages from one conduit to the other allowing molecular diffusion to be operated between adjacent conduits, said pores having an average diameter greater than twice the molecular diameter of the at least one species to be separated, and
- the average diameter of the conduits is less than 50 μm;
- and
- circulating the mobile phase in gas or liquid state through the selected packing,
- wherein:
- the method comprises computing a relative dispersion height ratio of a theoretical plate height of the packing due to inhomogeneities of the packing over a total theoretical plate height of the packing and adjusting at least one operative parameter of the chromatography or at least one morphologic feature of the packing so that that said relative dispersion height ratio is less than 0.66,
- the species to be separated have a molecular radius Rh in the elution solvent, a molecular diffusivity D0 in the elution solvent, a molecular diffusivity Ds in or on the stationary phase, a sharing coefficient K between the stationary phase and the elution solvent, a retention factor k′ in the chromatographic column defined by the formula:
- k
- ′
- =
- t
- R
- -
- t
- 0
- t
- 0
- ,
- wherein to is a retention time of a non-retained compound and tR is a retention time of a retained compound, and
- the packing includes conduits of an average diameter dc separated with walls of an average thickness de for which the irregularity is defined by a standard deviation of the diameter dc reduced to its average SigmaD, by a standard deviation of the thickness de reduced to its average SigmaE and by a standard deviation of the length of the conduits reduced to its average SigmaL,
- the constitutive porous material of the walls has a porous volume fraction P, a volume fraction of stationary phase fVolStat or a specific adsorption surface area S, a tortuosity T=1−0.8*ln(P), and the network of connected pores has a diameter dpore,
- the mobile phase flows with an average velocity vc in the conduits and
- the method comprises computing the theoretical plate height (Hdisp) due to the inhomogeneities of the packing based on the relationship:
-
- H
- disp
- =
- 0.778
- ⋆
- v
- 0
- ⋆
- (
- FKD
- ⋆
- SigmaD
- 2
- +
- FKE
- ⋆
- SigmaE
- 2
- +
- FKL
- ⋆
- SigmaL
- 2
- )
- ⋆
- (
- d
- c
- +
- d
- e
- )
- 2
- FDiff
- ⋆
- FDil
- ⋆
- (
- 1
- +
- k
- ′
- )
- ⋆
- 2
-
- wherein
-
- :
-
-
- v
- 0
-
-
-
- is
-
-
- the
-
-
- elution
-
-
- velocity
-
-
- of
-
-
- a
-
-
- non
-
-
- -
-
- retained
-
-
- compound
-
-
- by
-
-
- the
-
-
- stationary
-
-
- phase
-
-
- FKD
- =
- (
- 2
- +
- 3
- ⋆
- k
- ′
- 1
- +
- k
- ′
- )
- 2
-
- FKE
- =
- (
- k
- 0
- ⋆
- PB
- (
- 1
- +
- k
- 0
- )
- )
- 2
-
- FKL
- =
- 4
-
- k
- 0
- =
- (
- f
- VolStat
- ⋆
- K
- +
- P
- )
- ⋆
- d
- e
- ⋆
- (
- 2
- ⋆
- d
- c
- +
- d
- e
- )
- d
- c
- 2
-
- PB
- =
- (
- 2
- ⋆
- d
- c
- +
- 2
- ⋆
- d
- e
- )
- (
- 2
- ⋆
- d
- c
- +
- d
- e
- )
-
- Fdiff
- =
- d
- c
- +
- d
- e
- d
- c
- DC
- +
- d
- e
- DE
-
- DC
- =
- d
- c
- ⋆
- d
- c
- ⋆
- D
- 0
- +
- [
- (
- d
- c
- +
- d
- e
- )
- ⋆
- (
- d
- c
- +
- d
- e
- )
- -
- d
- c
- ⋆
- d
- c
- ]
- ⋆
- DE
- (
- d
- c
- +
- d
- e
- )
- ⋆
- (
- d
- c
- +
- d
- e
- )
- DE
- =
- D
- 0
- ⋆
- P
- ⋆
- C
- ⋆
- (
- P
- +
- f
- VolStat
- )
- T
- ⋆
- (
- P
- +
- f
- VolStat
- ⋆
- K
- )
- +
- D
- s
- ⋆
- f
- VolStat
- ⋆
- C
- ⋆
- K
- ⋆
- (
- P
- +
- f
- VolStat
- )
- T
- ⋆
- (
- P
- +
- f
- VolStat
- ⋆
- K
- )
-
- FDil
- =
- d
- c
- 2
- (
- d
- c
- 2
- +
- (
- (
- d
- c
- +
- d
- e
- )
- 2
- -
- d
- c
- 2
- )
- ⋆
- (
- P
- +
- f
- VolSat
- ⋆
- K
- )
- )
- C is a correction coefficient of the diffusivity in a free medium related to the size of the pores and to the diameter of the molecules to be separated.
A chromatography method in which a liquid mobile phase is circulated, containing species to be separated through a packing comprising a stationary phase, wherein
- the packing includes a plurality of capillary conduits extending in the packing between an upstream face through which the mobile phase penetrates into the packing and a downstream face through which the mobile phase emerges from the packing,
- the material of the walls of said conduits includes a network of connected pores, said pores forming passages from one conduit to the other allowing molecular diffusion to be operated between adjacent conduits, said pores having an average diameter twice the molecular diameter of at least one species to be separated, said average diameter being:
- (i) comprised between 4 and 30 nm for molecules of the species to be separated having a molecular weight comprised between 0 and 1,000 g/mole,
- (ii) comprised between 10 and 100 nm for molecules of the species to be separated having a molecular weight of 10,000 g/mole, or
- (iii) comprised between 30 and 300 nm for molecules of the species to be separated having a molecular weight of 100,000 g/mole,
- the average diameter of the conduits is less than 50 μm,
- wherein:
- the method comprises computing a relative dispersion height ratio of a theoretical plate height of the packing due to inhomogeneities of the packing over a total theoretical plate height of the packing and adjusting at least one operative parameter of the chromatography or at least one morphologic feature of the packing so that said relative dispersion height ratio is less than 0.66,
- the species to be separated have a molecular radius Rh in the elution solvent, a molecular diffusivity D0 in the elution solvent, a molecular diffusivity Ds in or on the stationary phase, a sharing coefficient K between the stationary phase and the elution solvent, a retention factor k′ in the chromatographic column defined by the formula:
- k
- ′
- =
- t
- R
- -
- t
- 0
- t
- 0
- ,
- wherein to is a retention time of a non-retained compound and tR is a retention time of a retained compound, and
- the packing includes conduits of an average diameter dc separated with walls of an average thickness de for which the irregularity is defined by a standard deviation of the diameter dc reduced to its average SigmaD, by a standard deviation of the thickness de reduced to its average SigmaE and by a standard deviation of the length of the conduits reduced to its average SigmaL,
- the constitutive porous material of the walls has a porous volume fraction P, a volume fraction of stationary phase fVolStat or a specific adsorption surface area S, a tortuosity T=1−0.8*ln(P), and the network of connected pores has a diameter dpore,
- the mobile phase flows with an average velocity vc in the conduits and
- the method comprises computing the theoretical plate height (Hdisp) due to the inhomogeneities of the packing based on the relationship:
-
- H
- disp
- =
- 0.778
- ⋆
- v
- 0
- ⋆
- (
- FKD
- ⋆
- SigmaD
- 2
- +
- FKE
- ⋆
- SigmaE
- 2
- +
- FKL
- ⋆
- SigmaL
- 2
- )
- ⋆
- (
- d
- c
- +
- d
- e
- )
- 2
- FDiff
- ⋆
- FDil
- ⋆
- (
- 1
- +
- k
- ′
- )
- ⋆
- 2
-
- wherein
-
- :
-
-
- v
- 0
-
-
-
- is
-
-
- the
-
-
- elution
-
-
- velocity
-
-
- of
-
-
- a
-
-
- non
-
-
- -
-
- retained
-
-
- compound
-
-
- by
-
-
- the
-
-
- stationary
-
-
- phase
-
-
- FKD
- =
- (
- 2
- +
- 3
- ⋆
- k
- ′
- 1
- +
- k
- ′
- )
- 2
-
- FKE
- =
- (
- k
- 0
- ⋆
- PB
- (
- 1
- +
- k
- 0
- )
- )
- 2
-
- FKL
- =
- 4
-
- k
- 0
- =
- (
- f
- VolStat
- ⋆
- K
- +
- P
- )
- ⋆
- d
- e
- ⋆
- (
- 2
- ⋆
- d
- c
- +
- d
- e
- )
- d
- c
- 2
-
- PB
- =
- (
- 2
- ⋆
- d
- c
- +
- 2
- ⋆
- d
- e
- )
- (
- 2
- ⋆
- d
- c
- +
- d
- e
- )
-
- Fdiff
- =
- d
- c
- +
- d
- e
- d
- c
- DC
- +
- d
- e
- DE
-
- DC
- =
- d
- c
- ⋆
- d
- c
- ⋆
- D
- 0
- +
- [
- (
- d
- c
- +
- d
- e
- )
- ⋆
- (
- d
- c
- +
- d
- e
- )
- -
- d
- c
- ⋆
- d
- c
- ]
- ⋆
- DE
- (
- d
- c
- +
- d
- e
- )
- ⋆
- (
- d
- c
- +
- d
- e
- )
- DE
- =
- D
- 0
- ⋆
- P
- ⋆
- C
- ⋆
- (
- P
- +
- f
- VolStat
- )
- T
- ⋆
- (
- P
- +
- f
- VolStat
- ⋆
- K
- )
- +
- D
- s
- ⋆
- f
- VolStat
- ⋆
- C
- ⋆
- K
- ⋆
- (
- P
- +
- f
- VolStat
- )
- T
- ⋆
- (
- P
- +
- f
- VolStat
- ⋆
- K
- )
-
- FDil
- =
- d
- c
- 2
- (
- d
- c
- 2
- +
- (
- (
- d
- c
- +
- d
- e
- )
- 2
- -
- d
- c
- 2
- )
- ⋆
- (
- P
- +
- f
- VolSat
- ⋆
- K
- )
- )
- C is a correction coefficient of the diffusivity in a free medium related to the size of the pores and to the diameter of the molecules to be separated.
Dependencies are inferred from the claim text.