particle sine en chromatographic absorbents and … · gas chromatography. a chromatographic column...

83
PARTICLE SINE EN CHROMATOGRAPHIC ABSORBENTS AND SOLID SUPPORTS by TAM Kwok-wah ( A Thesis Submitted in Partial Fulfilment of the Requirement for the Degree of Tastier of Philosophy in The Chinese Unive rsi. ty of Hong Kong June, 1974 Thesis Committee: Dr.J.C.T. Ma, Chairman Dr. H.M. Chang Dr. P.K. Hon Dr. Y. W. Chan External Examiner: Professor M. Lederer Editor, Journal of Chromatography Director, Laboratorio di Crommatografia del CNR Roma, Italy

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Page 1: PARTICLE SINE EN CHROMATOGRAPHIC ABSORBENTS AND … · Gas Chromatography. A chromatographic column is assumed to be consisted of many arbitrary plate elements2 in which there is

PARTICLE SINE EN CHROMATOGRAPHIC

ABSORBENTS AND SOLID SUPPORTS

by

TAM Kwok-wah

( 谈 国 华 )

A Thesis Submitted in Partial Fulfilment of the

Requirement for the Degree of

Tastier of Philosophy

in

The Chinese Unive rsi. ty of Hong Kong

June, 1974

Thesis Committee:

Dr.J.C.T. Ma, Chairman

Dr. H.M. Chang

Dr. P.K. Hon

Dr. Y. W. Chan

External Examiner:

Professor M. Lederer

Editor, Journal of Chromatography

Director, Laboratorio di Crommatografia del CNR

Roma, Italy

Page 2: PARTICLE SINE EN CHROMATOGRAPHIC ABSORBENTS AND … · Gas Chromatography. A chromatographic column is assumed to be consisted of many arbitrary plate elements2 in which there is
Page 3: PARTICLE SINE EN CHROMATOGRAPHIC ABSORBENTS AND … · Gas Chromatography. A chromatographic column is assumed to be consisted of many arbitrary plate elements2 in which there is

2

AC KNO WILEDGNENTS

The author sincerely thanks Dr. James C.N. Ma for his

unceasing encouragements and understanding during the

research work and preparation of this thesis.

He would also like to express his grateful apprecia-

tion to:

Drs. H.M. Chang, P.K. Hon and Y.W. Chan for their

advices and helpful comments on the experimental methods.

Dr. John L. Espy whose excellent criticism and sug-

gestions greatly influenced the writing of this thesis.

Dr. T.C.W. Mak for his critical reading of the whole

Thesis and his excellent advices.

Dr. G.M. Ho for his helpful suggestions.

The many students, especially Mr. C.W. Chan, Mr. Y.W.

Leung, Mr. T. Chan, Miss C.Y. Lo and Miss W.Y. Lam who

offered technical assistance in some experimental work.

Mr. D.P. Law whose advice in the development of the

computer program is deeply appreciated, Mr. P.K. Poon for

the drawing of the program flowcharts, and Mr. K.C. Kwok

for the drawing of some of the graphs.

And in particular, Mr. S .Y. Chung and Mr. H.C. Lin,

the author's undergraduate fellow classmates, whose never

failing encouragements had unknowingly stimulated his

confidence and joy.

Page 4: PARTICLE SINE EN CHROMATOGRAPHIC ABSORBENTS AND … · Gas Chromatography. A chromatographic column is assumed to be consisted of many arbitrary plate elements2 in which there is

3Finally, he surely appreciates the financial assistance,

which i s granted. by the Research institute of science and

Tec znology, The Chinese University of Hong Kong

Tani Kwok-wah

Department of Cheristnstry

The Chinese University of

Hong Kong

Page 5: PARTICLE SINE EN CHROMATOGRAPHIC ABSORBENTS AND … · Gas Chromatography. A chromatographic column is assumed to be consisted of many arbitrary plate elements2 in which there is

4

TABLE OF CONTENTS

Page

ACKNOWLEDGMENTS ii

LIST OF TABLES vi

LIST OF FIGURES viii

ABSTRACT X

Section

I. INTRODUCTION 1

Principles of Chromatography 1

Recent Developments in Chromatography 2

Two-Particle Size Chromatography 3

II. LITERATURE REVIEW 4

III. TWO-PARTICLE SIZE CHROMATOGRAPHY 9

Theoretical Calculation in a Proposed Model 9

Close Packing of Spheres 10

Two-Particle Size Packing 14

Surface Area vs Particle Size Ratio 16

Void vs Particle Size Ratio 16

Weight Ratio vs Particle Size Ratio 19

Composition of Two-Particle Size Adsorbent 21

Evaluation of Two-Particle Size Theory in

Practical Application 24

Comparison of TLC Adsorbents 24

Particle Size Distribution 26

Separation of Standard Dye 30

Page 6: PARTICLE SINE EN CHROMATOGRAPHIC ABSORBENTS AND … · Gas Chromatography. A chromatographic column is assumed to be consisted of many arbitrary plate elements2 in which there is

5Comparison with Classical Liquid Column

Chromatography 38

Comparison with Classical Gas

Chromatography 42

Preparation of Gas Chromatographic

44Column

One-Particle Size Gas Chromatography

vs Two-Particle Size Gas Chromatography 44

IV. EXP ELIMENTAL PROCEDURE 47

Analysis of Thin Layer Chromatographic

48Adsorbents

Specific Gravity 48

Surface Area 48

49Particle Size Distribution

Light-Scattering Method 49

Hydrometer Method 50

Thin and Thick Layer Chromatoplates

Preparation 50

Resolution Determination of Liquid

Chromatographic Column 51

Activation of Liquid Chromatographic

Adsorbent 51

Standardization of Liquid Chromatographic

Adsorbent 51

Liquid Chromatographic Column Packing 52

Inversion Method 52

Stirring Method 52

Homogeneity Test by Sieve Analysis 53

Resolution Determination 54

Calculation of Resolution 54

Page 7: PARTICLE SINE EN CHROMATOGRAPHIC ABSORBENTS AND … · Gas Chromatography. A chromatographic column is assumed to be consisted of many arbitrary plate elements2 in which there is

6Number of Theoretical Plate Determination

in Gas Chromatographic Column 57

One-Particle Size Gas Chromatographic

Column Packing 57

Two-Particle Size Gas Chromatographic

Column Packing 57

Calculation of Total Number of

Theoretical Plate 58

61V. DISCUSSION

61Findings and Results

62Explanation and Discussion

BIBLIOGRAPHY

APPENDIX

Page 8: PARTICLE SINE EN CHROMATOGRAPHIC ABSORBENTS AND … · Gas Chromatography. A chromatographic column is assumed to be consisted of many arbitrary plate elements2 in which there is

7

LIST OF TABLES

Table Page

1. Typical Specifications for Common Types of

Chromatography 5

2. volume and Surface Area of One-Particle Size

Spheres in a Model Housing 13

3. Relationship of Weight Ratio, Voidage, Surface

Area and Particle Size Ratio 15

4. Two-Particle Size Chromatography Particle Size

Category 23

5. Specific Gravity and Surf ace Area of Silica

Gels and Aluminas 25

6. Rf Values of Standard Dyes from Thin Layer and

Thick Layer Chromatograms 31

7. Calculation of Two-Particle Size LCC Column 55

8. Calculation of One-Particle Size LCC Column 56

9. Calculation of Two-Particle Size GC Column 59

10. Calculation of One-Particle Size GC Column 60

Page 9: PARTICLE SINE EN CHROMATOGRAPHIC ABSORBENTS AND … · Gas Chromatography. A chromatographic column is assumed to be consisted of many arbitrary plate elements2 in which there is

8

LIST OF FIGURES

PageFigure

1. Model of Two-Particle Size Chromatography 12

2. Minimum Voidage in Mixture of Two Sizes of Solids 16

Surface Area vs Particle Size Ratio 17

4. Voidage vs Particle Size Ratio 18

5. Weight Ratio vs Particle Size Ratio 20

6. Light-scattering Curve of Wide Range Adsorbent. 27

7. Light-scattering Curve of Narrow Range Adsorbent 27

8. Particle Size Distribution of Wide Range

Adsorbent 28

9. Particle Size Distribution of Narrow Range

Adsorbent. 29

10. Thin Layer Chromatograms of Standard Dyes on

Wide and Narrow Range Silica Gels 30

11. Thick Layer Chromatogram of Standard. Dyes on

E. Merck HF254 Silica Gel (45 min) 32

12. Thick Layer Chromatogram of Standard Dyes on

Camag DF-o Silica Gel (45 min) 32

13. Thick Layer Chromatogram of Standard Dyes on

E. Merck H'OC L Silica Gel (75 min) 33

14. Thick Layer Chromatogram of Standard Dyes on

Camag DF-0 Silica Gel (75 min) 33

Page 10: PARTICLE SINE EN CHROMATOGRAPHIC ABSORBENTS AND … · Gas Chromatography. A chromatographic column is assumed to be consisted of many arbitrary plate elements2 in which there is

PageFigure

15. Sedimentation Curve of Wide Range Adsorbent

by Hydrometer Method 36

16. Sedimentation Curve of Narrow Range Adsorbent

by Hydrometer Method 37

17. Apparatus for Inversion Method for Packing

LC C Column 30

18. Resolution of One-Particle Size and Two-Par icl:e

Size LCC Column 41

19. Separation of a Component Pair 42

20. Total Number of Plates of One-Particle Size and

Two--Particle Size in Gas Chromatography 45

21. Apparatus for Stirring Method for Packing

LC C Column 53

22.Velocity Pnofiles in Column63

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10

ABSTRACT

The resolution of chromatographic column can be greatly

improved by using two-particle size adsorbents. The new

formulation contains 85% by weight of large size particles

and 15% by weight of small particles. The size of the small

particle is 15% of the larger ones. The total number of

theoretical plate per column, as compared with classical

packing material, was found to increase more than double

at low flow rate. The theory, which was developed from

mathematical model calculation, was confirmed by experimental

findings in gas chromatography with 3.5 times improvement,

and liquid column chromatography with 2.2 times improvement,

using different size silica gel combinations.

Page 12: PARTICLE SINE EN CHROMATOGRAPHIC ABSORBENTS AND … · Gas Chromatography. A chromatographic column is assumed to be consisted of many arbitrary plate elements2 in which there is

1

SEC1ION I

INTRODUCTION

Principles of Chromatography

Chromatography1 is a separation method in which parti-

tion or adsorption takes place between a stationary bed of

large surface area and a moving fluid. If the moving fluid

is a gas, it is Gas Chromatography (GC). If the moving

fluid is a liquid, it is Liquid Chromatography (LC). The

stationary bed of adsorbent can be spread on a flat plate,

such as in Thin Layer Chromatography (TLC), or packed in a

column, such as in Liquid Column Chromatography (LCC) or

Gas Chromatography.

A chromatographic column is assumed to be consisted of

many arbitrary plate elements2 in which there is an equili-

bration between the moving phase and the stationary phase.

The efficiency of a chromatographic column is expressed in

terms of number of theoretical plates. The larger the plate

number, the better the separation.

Thin layer chromatography finds wide use in the sepa-

ration of mixtures. On the other side, there is an inherent

deficiency, where a mixture has minor components, the con-

centration of the minor one may be too low to be seen. If

one attempts to put large amount on the mixture on the plate

Page 13: PARTICLE SINE EN CHROMATOGRAPHIC ABSORBENTS AND … · Gas Chromatography. A chromatographic column is assumed to be consisted of many arbitrary plate elements2 in which there is

2

in order to increase the concentration of the minor cofnpo-

nents, the major components will overload the chrornatoraial.

A tailing effect results from the enriched major. componen is

which obscure the minor ones.

In column chromato graph , larger amounts of sample

Materials can be used (e.g. 50 milligrams to 100 grams)

In order to maintain a reasonable fiow rate, the adsorbent

is limited to a coarse particte size. e. g. 0.2-0.5 mm

70 mesh), despite the characteristically low resolution

and long separation time.

Gas chromatography has enjoyed the ability of fas

3separation. Very long capillary chromatographic columns

have achieved the best resoliving power among other chroma-

tographic methods. It can supply at least enough Sample

for direct mass spectroscopic studies. However, it is

never enough to be preparative. Preparative gas chroma to-

graphic column which employs large diameter has achieved

limited advantage in sample size (e. g. milligram quantity

But it is known that scaling up the column diameter or length

always sacrifices the resolution to a great extent.

Recent Developments in Chromatography

Recent development concentrates toward using extremely

small particle size adsorbents in the range of 5 to 40 )a or

even.sub-micron sizes. Among these is High Performance

Liquid Chromatography (HPLC)4, Where the operating pressure

lies in 500 tc 5000 pounds per square inch (psi) range.The

Page 14: PARTICLE SINE EN CHROMATOGRAPHIC ABSORBENTS AND … · Gas Chromatography. A chromatographic column is assumed to be consisted of many arbitrary plate elements2 in which there is

3improved performance is the result of being able to use

smaller particle size of adsorbents, which have greater

surface area and more chance for adsorption and desorption.

On the other hand, the disadvantage of using fine par-

ticle size is its limitation to very short length and very

slow flow rate. In chromatographic columns using small

particle size (e.g. 15 microns) requires excessive pressure

(e. g. 5000 psi'). Besides, filtering effect and cracking

or channeling phenomenon are more likely to occur when the

thickness or depth of the packing material increases.

Therefore, the total theoretical plates (or resolution)

per column has reached its limit to certain extent and can

hardly be improved any more. Thus any further increase in

resolution is certainly an asset to a chemist's success.

Two-Particle Size Chrornatagraphj

Recently Ma6 suggested to employ a mixture of chroma-

tographic adsorbents which contains 85%, by weight of.large

size particles and 15% by weight of small particles. The

size of the small particle is 15% of the larger ones

The advantage of using two-particle size packing mate-

rials in chromatography is twofold. The first one is to

minimize the cracking problem in preparative thick layer

chromatography and also in column with fine particles.

The other is to achieve better resolution over one-particle

size chromatographic column, as far as the total theoretical

plates per column is concerned.

Page 15: PARTICLE SINE EN CHROMATOGRAPHIC ABSORBENTS AND … · Gas Chromatography. A chromatographic column is assumed to be consisted of many arbitrary plate elements2 in which there is

4

SECTION II

LITERATURE REVTIEW

Particle size of sorbents plays an important role

in chromatographic columns. Table 1 summarizes the

operating parameters, such as particle size, column

diameter, column length, operating pressure, etc., for

various types of chromatography in common practice.

Page 16: PARTICLE SINE EN CHROMATOGRAPHIC ABSORBENTS AND … · Gas Chromatography. A chromatographic column is assumed to be consisted of many arbitrary plate elements2 in which there is

6

Table I

Typical Specifications for Common

Types of Chromatoraphy

LCCGCTLC

HPLCClassicalCapillaryPacked

<23060-27060-120<325Particle (mesh)20-60 150-250 1size (dp) 100-250 )15-40).1(1)

2-3 mm10-150 mm0.1- 0.5 mm2-6 mm0.1-2 mmColumn diameter

i.d.i.d.i.d.i.d.(thickness)(dc)

I/40-1/300 1/30-1/1501/8-1/50dp/dc ratio

O.1-0.5 M0.2-1 M15-100 M1-3 M-0.1 M*Practical length

(Meter)

Active SpacialInertActiveSorbent

Active packing

Capillary 500-5000 psiBy gravityOperating Pressure 100 psi <100 psi

force(psi)

4, 13-144, 133.8References 78-11

* Distance of solvent development in TLC

Active ad.sorbents such as silica gel, alumina inert supports such as diatomaceous

earth special packing such as Zipax, Permaphase.

Page 17: PARTICLE SINE EN CHROMATOGRAPHIC ABSORBENTS AND … · Gas Chromatography. A chromatographic column is assumed to be consisted of many arbitrary plate elements2 in which there is

6

Thin layer chromatography (TLC) requires only

simple equipment, but recovery of the separated componen s

is often complicated by contamination in the plate. Gas

chromatography (GC) is unfeasible for compounds which lack

thermal stability. It also suffers a marked difficulty

in effluent collection. Furthermore, the sample capacity

of, capillary open tubular GC is very small, in spite of

its high resolu tionr The ease of collection of effluent

in classical liquid column chromatography (LCC) is still

a main reason for its widespread use despite the charac-

teristically low column efficiency.

High pressure liquid chromatography (HPLC) enjoys

separation whose speed and efficiency .rival those of GC.

One can realize that it is the result of being able to use

very small particle size (e.g. 10 1.) of special packing

materials such as controlled surface porosity supports and

chemically bonded stationary phases4,14 However, the

ultra-high operating pressure(30-300 atm for HPLC4, and

20-2000 atm for HPGC15) implies the great necessity of

specialized equipment and safety requirements. Besides,

the practical length of small particle column is limited

even under very high packing pressure (e.g. only 50 cm in

length at 5000 psi for 13 1 16)

Narrow distribution of particle size is an important

prerequisite for reproducibility and efficiency 8-10, 13 3

of chromatographic process. Wider range of distribution

of particles shows segregation of siz: s as iliustrrted by

Page 18: PARTICLE SINE EN CHROMATOGRAPHIC ABSORBENTS AND … · Gas Chromatography. A chromatographic column is assumed to be consisted of many arbitrary plate elements2 in which there is

7using mixtures of colored particles17,18 with average size

differ in b a sac for of 2 to 4.

A recent innovation in geometry modification of sor-

bents is the use of spherical nonporous solid cored parti-

cle s (adsorbents or SuD por t s) which are coated with a thin

layer of fine porous partic_les4 whose si ze i s abo t 5 o f

the core particle size, like sugar coating on a pill.

Similar efforts invol.T e impregnating very fine active ad-

sorbents on porous supports such as Chromosorb w19, and

graphitized carbon blacK20. These methods are necessary

because uniform packing is extremely difficult to obtain

when very fine particles (e.g. I) are used, The-take

advantage of the mechanical handling feasibility of- those

coarse size particles, while minimizing the effective par-

ticle size by using very fine ones.

Another approach is to use adsorbent mixtures where

common TLC adsorbents are mixed with filter aids 21' 22,

or various other inorganic salts23, or gelding the adsor-

bents in a matrix of sintering glass powder 24 These

methods employ adsorbent mixtures of different nature.

The effect is that the adsorption behavior is characteristic

of one component, the other acts as a diluent.

A Belgium patented employs a mixture of 2-15% by weight

of 0.001-0.1 1 -fine alurninas in 1-50 u larger particles in

preparative laver chromatography. he fine particles act

as a binder, hence minimize the peeling problem when

plates prepared by larger particles only are developed in

solvent.

Page 19: PARTICLE SINE EN CHROMATOGRAPHIC ABSORBENTS AND … · Gas Chromatography. A chromatographic column is assumed to be consisted of many arbitrary plate elements2 in which there is

8

A German patentG26 employs a mixture of 60-200 1(70-

230 mesh) coarse size Kie.seI el with 2O% by weight of TLC

iesel el (5-40 1, the size being 80%- 20% of the larger

ones in diameter). It finds improved separation in thick

layer chromatography. Hoy: ever, no theoretical comparison

is given The experimental resu1t is only a vague descrip-

Lion such as "gut" separation.

Page 20: PARTICLE SINE EN CHROMATOGRAPHIC ABSORBENTS AND … · Gas Chromatography. A chromatographic column is assumed to be consisted of many arbitrary plate elements2 in which there is

9

SECTION III

TWO--PARTICLE SIZE CHROMATOGRAPHY

The scope of this study includes:

1. The theory of two-particle size chromatography.

2. Analysis of various TLC adsorbents.

3. The advantage of using two-particle size packing

materials in LCC and GC.

Comparison of two-particle size chromatography and

classical one-particle size chromatography showed great

improvement in TDC .LCC and GC, where only the parameter

of particle size is discussed.

Theoretical Calculation in a Proposed Model

The nature of packing structure is such that when a

column is packed with uniform particle size materials,

substantial amount,of free space exists between the parti-

cles. The ability to resolve a mixture into its components

depends on the surface area of the adsorbents, so as to

maximize the number of times that a component is adsorbed

and desorbed from the surface of the sorbent. Consider

the Van Deemer equation27

Page 21: PARTICLE SINE EN CHROMATOGRAPHIC ABSORBENTS AND … · Gas Chromatography. A chromatographic column is assumed to be consisted of many arbitrary plate elements2 in which there is

10where h. is the Height Equivalent to a Theoretical Plate

(HETP),)r and -r are parameters related to packing irregu-

larities, dp is the mean particle diameter of the packing,

DIET and DS are the molecular diffusion coefficients of the

component in the moving and stationary phases respectively,

u is the mean moving phase velocity k' i is the retention

ratio of a particular component, df is the thickness or

depth of stationary phase

Decreasing the particle size of packing materials de-

creases the plate height, h, which means higher resolutions

However, if the particles are so densely p ?. cked as to maxi.-

mize surface area, but preclude voids, then the carrier fluid

cannot significantly penetrate the packing depth and the

passage of the carrier is either extremely slow or being

blocked.

Close Packing of Spheres

When equal size spheres are packed together, tetrahe-

drons and octahedrons are formed. The voidage ina unit-

cell is 25.8%, which can allow remixing in chromatography.

In order to study how the void. can be filled with smaller

particles to give the optimal separation in chromatography,

mathematical approach has been tried but achieved no success.

Then a model as shown in Figure I, which is not a unit cell,

was constructed with ping-pong balls and ball bearings. The

base plate of the model can house two rows of spheres( diameter

d): 01 and 02 in the first row, 03 and two half spheres in

Page 22: PARTICLE SINE EN CHROMATOGRAPHIC ABSORBENTS AND … · Gas Chromatography. A chromatographic column is assumed to be consisted of many arbitrary plate elements2 in which there is

11

the second row as shown in Figure 1-a. According to the

verticla cross section, Figure 1-b, the model can house two

layers of spheres: 04 and others in the upper layer. The

vn of the housing can be calculated as:

V=axbxc Where a =2d

The details of the calculation were summarized in Table 2.

There are 9.3 spheres in the model, the voidage is 28%.

Page 23: PARTICLE SINE EN CHROMATOGRAPHIC ABSORBENTS AND … · Gas Chromatography. A chromatographic column is assumed to be consisted of many arbitrary plate elements2 in which there is

12

d-h4

03 04

ch2b0402 d2

0 0 00h 2

a a

Figs 1-bFig. 1-a

Fig. I-c

s2 s3s4.

sl+ s2: Tetrahedron

sl+ S3+ S2: Insertion of one exact small sphere

s1+ s4+ S2: Insertion of many small spheres

Figure 1 Model of Two-Particle Size Chromatography

Page 24: PARTICLE SINE EN CHROMATOGRAPHIC ABSORBENTS AND … · Gas Chromatography. A chromatographic column is assumed to be consisted of many arbitrary plate elements2 in which there is

13

Table 2

Volume and Surface Area oz

One Particle Size Sphere in a Model Housing#

Total SurfaceUnit SurfaceTotalUnitNumberDiameterTypeAreaAreaVolumeVolume+of Items@or Height

4.488.84d= 37.8 mm 226,237.73 35,910,7428,279.728Sphere

2,405.92601.481,387.184 5,548.72Segment h1= 5.07

823.6720,056.10 6, 589.342,507,018h2= 6.94

1.897.2621,770.4810,885.24 3,794.522h3= 15.98

2,591.561,295.7811,417.95h4=10.91 5,708.97(-)2

162.581.161.472 580 .74 325.16h"=6.94

46,434.13 mm2263,356.56 mm3Total No. of Sphere: 9.30

(Total Surface Area of ModelI(Total Volume of Model)Voidage: 28%

r Refer to Figure 1, Volume of Housing: V= abc= 366,144.44 mm

37.8 mm is the actual diameter of a ping-ponm ball which serves as 4a-model in the calculatio

** Volume and Surface area calculated by integration

For sphere: Volume Surface Area

For Segment: Volume (3d- 2h), Surface Area= TC d h

Page 25: PARTICLE SINE EN CHROMATOGRAPHIC ABSORBENTS AND … · Gas Chromatography. A chromatographic column is assumed to be consisted of many arbitrary plate elements2 in which there is

14Two-Particle Size Packing

In Figure 1-c, if one takes away all the transparent

sheets s2, s3 and s4, the remaining basic Sheet s1 has

three circles which represent the three spheres in the bot-

tom layer of the model (cf. Figure 1-a),. If one puts Sheet

s2 on the top of Sheet s1, the additional circle represents

a sphere of the upper layer and forms a tetrahedron.

Small particles can be inserted into the tetrahedral

hole formed by the 4 spheres. In the first Case, one can

choose a small particle whose diameter is 22.5% of the large

spheres just big enough to touch the 4 spheres without

increasing the bulk volume (Sheet s3 in between s1 and s2

There is 25% increase-in surface area, which can provide

more chance for adsorption and desorption. The voidage de-

creases 12%, thus the chance for remixing is diminished too.

In the second case, one can fill in the tetrahedral

hole with several small particles (Sheet s4 in between s1

and s2). One can expect further increase in surface area

and further decrease in voidage. However, if the size of

the small particles becomes too fine, the voidage is going

to approach zero. Carrier gas or eluting solvent might be

completely blocked in this extreme case.

In order to find out an optimal combination between

voidage and surface area, different sizes of ball bearings

were inserted into the holes formed by ping-pong balls within

the model. The exact number of ball bearings was counted.

The calculation of surface area and voidage is summarized in

Table 3, and graphically illustrated in Figures 3, 4 and 5.

Page 26: PARTICLE SINE EN CHROMATOGRAPHIC ABSORBENTS AND … · Gas Chromatography. A chromatographic column is assumed to be consisted of many arbitrary plate elements2 in which there is

15

Table 3

Relationship of Weight Ratio, Voidage

Surface Area and Particle Size Ratio#

1.59 mm4.76 3.186.357.9437.8Actual Diameter0.040.080.130.170.211Diameter Ratio

26,8352,948731254749.30Number of [email protected]

Weight Ratio319,576 mm3304,702 712,763297,410282,734263,357Total Volume of Spheres46,568 mm368,734 61,442 53,38683,410102,787Void

12,9%14.7%17%19%23%28%% of Void47,5% 55%18% 32% 390% of Void Lost

258,914- mm2139,79498,52261,08146,434 78,610Total Surface of Spheres

212,480 mmSurface Increase** 93,36052,17614,670 53,098

2OO%112% 557%69%0 31.5%of Surface Increase

Insertion of small spheres into voids formed by large spheres (37.8 mm diameter)?

cf. Figure 1-c

By counting

* Based on an empty casing volume 366,144.44 mm32

Based on total surface area of large spheres (37.8 mm diameter), 46,434 mm2

Page 27: PARTICLE SINE EN CHROMATOGRAPHIC ABSORBENTS AND … · Gas Chromatography. A chromatographic column is assumed to be consisted of many arbitrary plate elements2 in which there is

16Surface Area vs Particle Size ratio

In Figure 3, the x-axis is the ratio of small particle (d)

size to large particle size (D) s with increasing size o.f finer

particles. The percentage of increase in surface area is

plotted in y-axis. One can notice that the surface area

decreases as the finer particle size increases. The slope

of the curve drops rapidly when the particle size ratio (d/D)

is less than 0.08, and becomes flattening beyond 0.13,

Void vs Particle Size ratio

In Figure4, the void increases when the size of the

finer particle increases. Th slope becomes steeper when

the particle size ratio is greater than 0.118. A more ex-

tensive experimental study of small to large size ratio

against the voidage was published by F urnas 28 to support

the finding here (Figure 2).i

2 components

10-5 10-4 10-3 0.01 0.1 1

Smallest size/largest size

Figure 2 Minimum voidage in mixture of 2

sizes of solids28.

MinimumVoidage

Page 28: PARTICLE SINE EN CHROMATOGRAPHIC ABSORBENTS AND … · Gas Chromatography. A chromatographic column is assumed to be consisted of many arbitrary plate elements2 in which there is

17

%300

Figure 3 Surface Area vs Particle Size ratio

200

100

5 10 15 20

2dsmall/ Dlarge X10 2

SurfaceAreaPercentageIncrease(%)

Page 29: PARTICLE SINE EN CHROMATOGRAPHIC ABSORBENTS AND … · Gas Chromatography. A chromatographic column is assumed to be consisted of many arbitrary plate elements2 in which there is

18

30 %

Figure 4 Voidage vs Particle Size ratio

20

10

5 10 15 20

dsmall/ Dlarge x 10 2

Void

Percentage

(%)

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19Weight ratio vs Particle Size ratio

A tetrahedral hole formed by four spheres can ideally

accommodate a smaller spherical particle having a diameter

22.5% of the large spheres. On. the other hand,, an octa-

hedral hole can accommodate a spherical particle whose

diarlieter is 41.4% of the larger soheres29. If the Sma11er

particle having a diameter less than 15,5% of the large

ones, the smaller particles can pass through the triangular

hole which is formed by three spheres of the tetrahedron29.

Accordingly, one can choose a particle size ratio either

smaller or greater than 0.155. In column packing, the

former allows the small-particles to pass through the tri-

angular holes after the column is packed with large ones.

The latter traps the small particles within the tetrahedral

holes, and can produce a more stable packing.

The relationship between weight ratio and particle

size ratio, as graphically illustrated in Figure 5, is

obtained experimentally by counting the number of

smkll spheres being inserted into the holes formed by the

large spheres of same density. The exact counting is recorded

in Table 3.

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20

30

Figure 5 Weight ratio vs Particle Size ratio

20

10

5 10 15 20

dsmall/ Dlarge x 10 2

Weight

retop

x

10

2

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21Comoositi of Two-Particle Size Chrornatography

According to the slope in Figure 3, if we choose a

particle. having a diameter less than 10% of the coarse one,

a slight variation in particle size ratio will affect the

surf ace area tremendously. Figure 4 shows the relationship

between voidage and particle size ratio, If we choose a

fine particle size ratio larger than 18%, it will affect the

vo, dagv more seriously than the li ear section of the c.ir e.

In order to obtain reproducible results in resolution or better

quality control in manufacturing chromatographic adsorbents,

the particle size ratio should be in t: .e range of 0.12 to 0„18.

A particle size ratio of 0.12 to 0.18 thus corresponds to a

weight ratlo of 0.16 to MIS I8 respectivelf,. The optimal.

chromatographic particle mixture should oreferabl y contain

85 by weight of coarse particles and 15% fine ones the

fine particle size should be 15% of the coarse ones.

In practice, two-particle chromatographic adsorbents

can be prepared by combining different particle size materials

together, Table 4 lists a few categories of combination

as suggested by Ma6. The coarse materials mesh No. 10

to 270, are prepared by sieving commercially available

column chromatographic silica gels or alvminas. The actual

range of nominal size is +9%, if ASTE Standard sieves are

used. The fine materials, 29 to 7 microns, can be prepared

by two methods: either using direct TLC adsorbents without

appendix A

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22binder, or modifying the same adsorbent by sedimentation

to+- 251%.to narrow down the particle size range

In the column of Ratio by Weight i n Table 4, IIA and

IIB intend a composition choice of either the finer subgrad.e

A or the coarser subgrade B respectively. In practice,

IIA is used for Liquid column chrom.atography, and IIB for

gas chromatography. Similarly, one can extend the calcula-

tion to three- or multi-particle size chromatography which

might find their application in preparative columns or

fractionating distillation tower.

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23

Table 4

Two-Particle Size Chromatography

Size Category #Partic

Method ofRatio by WeightNominal SizeCategory

PreparationIIBIIA

Extra- Sedimentation15%29 1± 20%

60/80**15%85%213 1± 10%coarse

10/1285%1840 1 +- 10%(xc)

Sedimentation15%Coarse 20 1± 30%

80/100.15%8C,5%163 u+ 10/(a)

14/1685%1300 u± 10%

15 u+- 40% Sedimentation15%Medium

120/14015%85%115 u +- 10%(M)

18/2085%920+ 10%

Sedimentation15%10 u± 50%Fine

170/20085%81 u+ 10% 1 5(F)

25/3085%650 u+ 10%

Sedimentation15%7 u+- 60%Extra-

230/27015%85%58 u+- 10%fine

85%460 u+- 10% 35/40(xF)

# Adopted from Mab

* u is micron

** ASTM Standard sieve number

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24

in Practical Aoplication

In order to demonstrate how particle size can influance

the resolution in chromatography, various adsorbents were

compared in TlC,LCC and GG, The comparison was restricted

to one parameter-- the particle size. All the other

factors were fixad, using she some activity of adsorbents,

same solvent system, same developing distance, and same

components in the test mixture.

Comparison of TLC Adsorbents

Various commercially ayeilable TLC silica gels and

aluminas were analyzed physically;including specific

gravity, surface area, particle size distribution and

resolution in the separation of standard dyes. As listed

in Table 5, there was not much difference among the commer-

cial adsorbents in specific gravity and some variation in

surface area.

Evaluation of Two-Particle Size Theory

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25

Table 5

Specific Gravity and Surface Area

of Silica Gels and Aluminas

Surface AreaSpecificAdsorbent

(sq.cm./gm.)**Granity*

Silica Gel

2,10 20700E. Merck, PF254 (Germany)

12700S.A. 2.O6Mallinkrodt, 4F

(SwitzerI.annd) 191502.11Camag= DF-O

2.06May & Baker, PAFD/229 12250(England)

Alumina

77003.18E. Merck, PF 254

2.94 5850Mallinkrodt, 325

Canag, DS-0 72003.05

May Baker, PAFD/225 979 53,16

* Determined with pycnometer method BS-1231

** Determined with permeability method BS-81232

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26Particle Size Distribution Hydrometer method (British

Standard BS--3406 30) and light-scattering method (Hitachi

PSA-2 particle size analyzer) are used. to test all the

commercial adsorbents available in this laboratory.

The transmittance-depth curves (Figures 6 and 7) which

are obtained by light-scattering method are transformed into

discrete particle size distribution curves (Figures 8 and 9)

according to Lambert-Beert s law and sedimentation equation

by Stokes

Two types of distribution curve are found, as shown

in Figures 8 and 9. In Figure 8, the silica gel from E.

Merck., has a nominal size of 14 u+ 50% the major compo-

nent (in terms of 2 )a for each component) is around 15%.

In Figure 9, the silica gel from Camag, has a nominal size

of 11 u+ 50% but the major component is around 30%. The

latter is named narrow range particle size distribution

in order to distinguish from the former one of wide range.

* Section IV, experimental technique, p. 49

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27

30

20

10

Sedimentation depth h

Figure 6 Light-scattering curve of wide range

adsorbent (E. Merck PF254- silica gel)

30

20

10

Sedimentation depth h

Figure 7 Ligh t--scattering curve of narrow range

adsorbent (Canag DF--O silica gel)

TransmittanceI

Trans,ottamceI

Page 39: PARTICLE SINE EN CHROMATOGRAPHIC ABSORBENTS AND … · Gas Chromatography. A chromatographic column is assumed to be consisted of many arbitrary plate elements2 in which there is

28

Figure 8 Particle size distribution of ,

silica gel)

30 %

20

15.7

10

0 2 4 6 8 10 12 14 16 18 20 22 24 26 1

DIAMETER OF PARTICLES (u)

Wide range adsorbent (E. Merck PF254

WEIGHT

PERCENTAGE

(%)

Page 40: PARTICLE SINE EN CHROMATOGRAPHIC ABSORBENTS AND … · Gas Chromatography. A chromatographic column is assumed to be consisted of many arbitrary plate elements2 in which there is

29figure Particle size distribution of

Narrow range adsorbent (Camas DF-O silica gel)

32.6

3C %

20

10

0 2 4 6 8 10 12 1 4 16 18 u

DIAMETER OF ARTICLES (u)

WEIGJTPERCENTAGE(%)

Page 41: PARTICLE SINE EN CHROMATOGRAPHIC ABSORBENTS AND … · Gas Chromatography. A chromatographic column is assumed to be consisted of many arbitrary plate elements2 in which there is

30Separation of Standard Dyes A milvture of 5 standard.

dyes 34 was used to test the resolution ofchrometographic

adsorbents. The resolving power of various cormmercially

available adsorbents for TLC was found almost the same in

Figure 10.

(1)

(2)

(3)

(4)

(5)

(b)(a)

Figure 10 Thin layer chromatograms of btandard Dyes

on "widen" and "narrow" range Silica gels

Heating time: 60 min, 110°C, Thickness 0.2 mm

(a) E.Merck HF254 (wide range)

(b) Camag DF-0 (narrow range)

Standard dyes: (1) Azobenze:ne (AzoBz),(2) P- Methxy-

azobenzene (p-MeOAzoBz), (3) Sudan Yellow, (4)Suder

Red, (5) p-Arninoazobenzene (p-HH2-AzoBz)

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31

When the thickness increnses, for example, from 0.2

ma l ual TLC to 1.4 mm in tniok leyer, the "narrow"

range adsoobant was formd producing much better resolution

than the others, as shown in Figures 11-14. The Rf values

are summarized in Table 6.

Table 6

StandRf values of Standard Dyes from

Thin Layer and Thick Layer Chromatograns#

SndanSudanp-Meo-AzoBzHeating p-Nh2-

Yellow AzoBRedAzoBzTime (min)

at 110°C

Thin Layer (0.2 mm)

0.460.55 0.070.310.86Wide Range 60

0.39 0.070.280.450.79Narrow Ran 60

Thick Lyer (1.4 mm)

0.940.9645 0.98 0.890.93Wide Range

45 0.060.44 0.33 0.210.78Narrow Range

Thick Layer (1.4 mm)

0.65 0.090.54O.75 O.38Wide Range 75

0.04O.41 0.300,66 0.16Narrow Range 75

# c.f. Fifures 10-14,Distance of the substance from the start

Rf

Distance of the solvent front from the star

Standard Dyes34 contain (1) Azobenzene, (2) p-Methoxyazobennene

(3) Sudan Yellow, (4) Sudan Red, (5) p-Amnoazohenzene.

Solvent: n-Hexane: Ethyl Acetate (9:1)

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32

(1)(2)(3)(4)

(5)

(3) (1) (2) (5) (4-) Mixture

Figure 11 Thick layer chromatogram of Standard Dye

on E.Merck HY254 Silica Sel: heating time: 45 min, 110°C

Thickness: 1.4 mm

(1)

(2)

(3)

(4)

(5)

(4)(3)(5)(1)(2) Mixture

Figure 12 Thick layer chromatogram of stabdard Dyes

on Camag DF-O Silica gel, heating time: 45 min,110°C

Thickness: 1.4 mm

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33

(1)

(2)

(3)

(4)

(5)

(4)(3)(1)(5)(2) Mixture

Figure 13 Thick layer chromatfogram of Standard Dyes

on E.Merck HF254 Silica gel, heating time: 75 min,110°C

Thaickness: 1.4 mm.

(1)

(2)

(3)

(4)

(5)

(4) (3) (1) (5) (2) Mixture

Figure 14 Thick layer chromatograrn of Standard Dyes

on Camag DF-0 Silica gel, beating time: 75 min, 110°C

Thickness: 1.4 mm.

Page 45: PARTICLE SINE EN CHROMATOGRAPHIC ABSORBENTS AND … · Gas Chromatography. A chromatographic column is assumed to be consisted of many arbitrary plate elements2 in which there is

34Evaporation of water during activation of thin layers

hardly shows any difference for both "wide" and "narrow"

range adsorbents, Figure 10. When the thickness increases

to 1.4 mm, the obvious difference in resolution of standard

dyes indicates a great difference in activity. This car

be realized that the rate of evaporation of Ater for 45

minutes is slower in wide range adsorbent layer than that

in narrow ones, Figure 11 and 12. Pro longed heating. to

75 minutes enables more thorough evaporation, therefore,

the resolution is similar for both adsorbents.

A recent report by Turano et. al. is quite similar to

our findings here. A minor change in particle size in

the manufacture of commercial silica gel plates (250 pm

thick) was responsible for the unexpected poorer separation.

A suggested remedy to overcome such disaster was to prolong

the drying time46,

The dramatic difference between thin and thick layer

in resolution can be explained by the difference in voidage.

For example, in civil engineering, a good concrete design

should provide minimum voidage by adjusting the pro-portion

of aggregate to sand and cement. The particle size distri-

bution curve in concrete mix which is very similar to a

normal curve, is the vital factor to determine the crushing

strength. According to Figure 8, the particle size distri

bution curve of the wide range adsorbent contains 80%

coarse (larger than 10 31) material and 20F% fine ones. The

distribution curve of the 80% section (Figure 15) is found

Page 46: PARTICLE SINE EN CHROMATOGRAPHIC ABSORBENTS AND … · Gas Chromatography. A chromatographic column is assumed to be consisted of many arbitrary plate elements2 in which there is

35quite similar to the normal curve, which provides minimum

voidage. But the distribution curve of "narrow" range

adsorbent (Figure 16) has nothing similar to the pattern

in concrete mix. Therefore, in thick layer there is not

enough voidage for the standard dyes to penetrate the whole

thickness of the layer in wide range adsorbent. Most of

the components of the dyes can only creep on the surface,

no matter how thick the layer is. But in ttnarrowtt range

adsorbent, there is more void for the dyes to penetrate

the layer to enjoy the full opportunity of being adsorbed

and de sorbed.

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36

Figure 15 Sedimentation Curve of Wide range

Adsorbent (E: Merck PF254 Silica gel) by

Hydrometer method.

100-%

Diameter of Particles (u)2 5 10 30 50 u

50

Cumulative

welght

Percentage

(%)

Page 48: PARTICLE SINE EN CHROMATOGRAPHIC ABSORBENTS AND … · Gas Chromatography. A chromatographic column is assumed to be consisted of many arbitrary plate elements2 in which there is

37

Figure 16 Sedimentation Curve of Narrow range

Adsorbent (Cainag DF-O Silica gel) by

Hydrometer method

100 %

50

Diameter of Particles (u)2 5 10 30 50 u

Cumulative

welght

Percentage

(%)

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38Comparison with Classical Liquid Column Chromatography

In the comparison of resolution, the classical method

of column packing is not reproducible enough. Two colunns

packed by the same operator using the same procedure with

identical material can still have significant difference in

the separation of standard dyes. Firstly, it is because

of non-reproducible sedimentation of adsorbents, when the

slurry is poured into the column portion by portion.

Secondly, it is known that the performance of a column

varies as the solvent head changes.

A specially designed apparatus as shown in Figure 17

was made to overcome the non-reproducible sedimentation of

adsorbents and to maintain constant solvent head during the

elution. Packing is produced by pouring the slurry in one

portion, The apparatus is also useful to find the optimal

solvent head to produce maximum resolution (Figure 18)

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39

T

D

S

A

C

A

TF

Figure 17 Apparatus for inversion Method for packing

LCC column, (F) is a round bottom flask equipped with

ground glass joint, (T) is a glass tube for ventilation

during the inversion, (A) is an adaptor having two

ground glass cones,.(C) is a chromatographic column,

(S) are side-tubes to maintain constant solvent head,

(D) is a coarse sinter glass disk.

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40

In two-particle size column chromatography, 170/200

mesh silica gel (85% by weight) was mixed with 14 u TLC

Kieselgel (15%) to pack a depth of 8 cm in a 12 mm. i.d.

column. A maximum was found from the curve as shown in

Figure 18, where resolution (R) was plotted against the

linear flow rate, Rmax= 6.3 when the solvent head was

6 cm; the flow rate was 0.71 cm/min.

In one--particle size column, when 170/200 mesh silica

gel was used alone, much poorer resolution was found.

Pmax 2.9 when the solvent head was 24 cm the flow rate

was 1.04 cm/min.

If 14 u Kieselgel was used alone, the flow rate was

found dropping to a range which was not, practical, e.g.:

Solvent head linear flow rate

6 cm 0.06 cm/min

24 cm 0,12 cm/min

48 cm 0.23 cm/min

Therefore it is clearly indicated that either high pressure

is required or the column length should be shortened, if one

tries to use TLC size adsorbents in liquid column chromato--

graphy.

The conclusion is that the resolution of two-particle

size column chromatography was found 225% better than that

of one-particle size.

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41

Fibure 18 Resolution of One-particle size and

8Two-particle size liquid. column chromatography

1-d: 8 cm, 170/200 mesh, Silica gel

2-d p: 8 cra, 85% 170/200 mesh, 15% 14u, Silica gel

R= 6.3

6

2-dp

R= 2.9

-dp

2

0.5 1.0 1.5 2.0

Linear flow rate (cm/min)

Resolution4

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42Comparison with Classical Gas Chromatography

When gas chromatographic columns are compared, the

term n, Number of Theoretical Plate36, is used to describe

their separating power:

here n= number of -theoretical plate

tR= retention time of a component

w= base peak-width of that component

Figure 19 illustrates the chromatogram of an arbitrary mixture

(2 and 1):

w2W

tR1tR2

Figure 19 Separation of a component pair

Columns of different length (L) are compared in terms

of Height Equivalent to a Theoretical Plate37 (abbreviated

as HETP or H):

Theoretically, smaller the HETP, better the resolution

a column can have. But in practice, when the length of a

column (L in meter) increases, the value of HETP does not

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43always remain unchanged. It is because of irregularities

in flovi profile. In application, what a chemist mostly

concerns is the total performance of the column available

to him, or in other term, the total number of theoretical

plates that particular column can achieve. It was demons-

trated that the length of a column can. only be increased

to a certain extent, beyond that optimal length, resolution

became worse58.

In this study, GC columns were compared for their total.

number of plates per column. The length of each column was

determined by the inlet pressure of the carrier gas. The

inlet pressure of 30 psi was chosen as the upper limit for

all the experiments, because it is the usual working pres-

sure in classical GC and is quite safe for most of the

classical commercial packing materials. The modern HPGC

packing material which can stand 5000 psi are not yet

available in coarse size, therefore they cannot be included

in this study. The actual length of each column in the

following studies was determined by adjusting the length

of a column until the flow rate reached 30 ml/min under

30 psi inlet pressure. This approach might be named Flow-

rate Normalizations with variable length to compare the

performance of different columns. In the literature, there

was a similar approach called Time Normalization method38' 39

using variable temperature to obtain the same retention time

of the last component from different columns.

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44Preparation of GC Column One-particle size GC columns

were prreared by traditional packing method of small itcre-

merits40. Two-particle size GC columns prepared by the

same method showed serious size segregation, Various packing

methods were then tried by using pink color coarse Chrornosorb

A and white color fine kieselgel in glass columns. Columns

packed by various methods were checked for their homogeneity

and reproducibility by visual inspecton. Afret packing,

the column was' divided into three equal sections, the length-,

wise homogeneity was further checked by sieve analysis of

the three sections. After various trials, a packing method,

the Continuous Dry Blending Method., can prepare reproducible

GC columns which are homogeneous enough for this study. The

two loiell-sized adsorbents in separate reservoirs are contin-

uously blended through two appropiate openings into a straight

GC column. The method is fully described in the experimental

section( p.57).

One-Particie Size GC vs Two-Particle Size GC In Table 4

(p. 23), the category F-IIB was chosen as an example to com-

pare with classical GC columns. The coarse particle size

was 650 A (25/30 mesh) and the fine particle size was 81 u

(170/200 mesh). The total number of. theoretical plates per

column at various outlet flow rates were plotted in Figure 20.

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451000

Figure 20 Total Number of Plates of One.

particle size and Two-particle size

in Gas chromatography

1--d: 0.35 meter, 170/200 mesh, Silica gel

2-d p: 7 meter, 85% 25/30 mesh, 15% 170/200

mesh, Silica gel800

400

270Nmax

1-dp

200

2 6 10 20 30

Outlet flowrate (ml/min)

1-dp

Total

Plate

Number

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46Two-particle size column, where the fine size 170/200

mesh Silica gel were grouped by the 25/30 mesh of the same

silica del, reached the limit of 30 ml,/min at 30 psi at a

length of 7 meter. As show, n in Figure 20, when the flow

rate reached the lower limit of 2 ml/min, the curve had

still not reached its maximum Yet Therefore, the tota l

number_ of plates per column was found higher than 840, or

the HETP smaller than. 8.3 mm.

One--particle size columns packed with the fine packing

material of two-particle size columns, reached the limit at

0.35 meter` The maximum number of plates was found to be

270, or HETP= 1.3 mm

it is known that a GC column packed with coarse adsor-

bent such as 25/30 mesh should give poorer performance.. In

flow rate normalization method the length of such column

was beyond and the capacity of the oven available in this study.

hence, the two-particle size column was 3.1 times better

than that of the one-particle size column at 2 ml/min flow

rate. At even lower flow rate, it should be even better,

e,g. at 1.7 ml/min, the comparison was found 3.4 times.

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47

SECTION IV

EXP- :RINENeiAL PROCEDURE

The Material

In liquid column chromatography, all the silica gels

used were from E. Merck, Germany. The 170/200 mesh ads

bent was prepared. from sieving E. Merck Kieselgel 60 (70/

230 mesh). The 14 u adsorbent was from E. Merck HF254

Kieselsrel.

The packing material for gas chromatographic columns

was silica. gel from Davidson, U.S.A. The coarse material

25/30 mesh was prepared from sieving Davidson grade 408

(12-28 mesh). The fine material 170/200 mesh was prepared

from grinding Davidson grade 408, followed by sieving.

The solvents used for elution in TLC and LCC were

purchased from either E. Merck (Germany) or Fluka (Switzer-

land).

The standard dyes used for the determination of the

activity of silica gel were chromatographic grade dyes from

British Drug House, England: Azobenzene, p-methoxyazobenzene,

Sudan yellow, Sudan red and p--aminoazobenzene.

The carrier gas used in gas chromatography was high

purity nitrogen from Hong Kong Oxygen-Ltd., Hong Kong..

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The Instruments

Throughout this study, all gas chromatographic columns

were tested in Varian Aerograph model 705 Autoprep, which

was installed with a hydrogen flame ionization detector (FID).

Flow rate was measured with a soap-film bubble flow-meter

at ambient and operating temperatures. GC resolution test

sample was a one to one mix Lure of n-pentane and n-hexane.

Liquid sample were injected with Hamiltion percision syringes

The gas chromatograms were recorded in a Honeywell (Electronic

15) 1-mv full scale recorder at % inch/minute chart speed.

Unicam SP 500 Spectrophotomter from Unicam, England

was used to measure- the transmittance of chromatographic

fractions from liquid column chromatography. The cell path

was 2 mm

Particle size distribution of coarse adsorbents greater

than 74 microns( larger than 200 mesh) was determined by

sieving with ASTM standard-test sieves and Endecott Test

Sieve Shaker, model EFL 2MKII( Endecott Test Sieves,

England).

Experimental results were computed in Fortran IV with

ICL 1904A computer.

Analysis of TLC Adsorbents

Specific Gravity The specific gravity of TLC adsorbents

was determined by pycnometer method according to British

Standard BS-81232.

Surface Area The surface area of TLC adsorbents was deter-

mined by permeability method according to British Standard

BS-1231.

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49Particle Size Distriru Lion

Light Scattering method The particle size distribution of

TLO silica gels and aluminas was determined by light-scat-

tering method with Hitachi PSA-2 particle size analyzer from

Hitachi, Japan.

The transmittance-depth curve which is obtained by light-

scattering method is transformed into a discrete particle size

distribution curve according to (i) Lambert-Beer's law:

where Wn.= weight percentage of particles with radii

between rn and rn+i

In, In F, = light transmission through suspension of

particles with radii smaller than rn and

rn+i respectively

and (ii) sedimentation equation by Stokes:

where D= diameter of particle

P= specific gravity difference between particle

and fluid

n= viscosity of fluid

h= sedimentation depth of particle

T= time after being left undisturbed

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50Hydrometer method Sedimentation method as mentioned in

Briti sh Standard BS-340630 using a hydrometer was used to

determine the distribution curve of TLC adsorbents for the

purpose of comparison with concrete mix.

Thin Layer Chromatoplate Thin layer of 0.2 mm thickness

were prepared by spreading a slurry of 20 grams of adsorbent

in 48 ml distilled water on 20x20 cm and 20x5 cm glass plates

with a spreader. The. plates were t glen activated at '105°-

110°C for 60 minutes. Samples were applied with micropipets.

The plates were then developed in a saturated solvent tank.

Thick Layer Chromatoplate Thick layers of 1.4 mm were pre-

pared by the pour-and-tap technique45 A well stirred

slurry of 20 gm silica gel in 45± 3 ml distilled water

and 3 ml of methanol was poured evenly on a 20x20 cm glass

plate with gentle tapping from the other side of the glass

plate to ensure even distribution of slurry and smooth sur-

face. The plate was then dried and activated in a pre-

conditioned oven at 105°- 110 °C for 45 minutes.

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51Resolution Determination of LCC column

Activation of LCC AdsorbentL41 one hundred grams of silica

gel which was spread on a shallow dish, was heated at 300°C

for 3 hours. The adsorbent was allowed to cool at room

temperature in a de s sicator and then stored in a tightly

sealed container. Distilled water (23% v/w) was added by

sDrayyinc, into the activated silica gel.

The mixture was then allowed to equilibrate with mechanical

shaking for 3 hours. The activity of this silica gel was

standardized as grade IV in Brockrnann. scale34,35.

Standardization of LCC Adsorbent41 The following procedure

was adopted from Brockmann scale with some modifications,

e.g. cyclohexane was used to replace the non-reproducible

mixture of petroleum-ether, and the flow-rate as standar-

dized. A glass chromatographic column of 1 cm i. d. equipped

with coarse sintered glass filter disk was packed with 7

grams of silica gel to be tested to a depth of 15 cm. The

eluting solvent was a mixture of cyclohexane and benzene

(4 to 1 v/v). The test mixture was prepared by dissolving

10 mg each of the appropiate dyes (for grade IV, Sudan yellow

and Sudan III) in 50 ml of cyclohexane and benzene(4 to 1).

18 ml of this solution were carefully introduced into the

column by apipet. The flow rate was regulated to 1 ml/min

by adjusting the opening of the stopcork. As the dye solu-

tior approached within 1 cm above the top of the adsorbent,

5 ml of solvent was added to wash the dye remaining on the

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52column Mall. When the aliquot approached I cm above the

adsorbent, 49 ml of solvent was added. When the solvent

reached within 0.5 cm above the adsorbent, the adsorbed dyes

were observed for position. Activity was determined accord-

ing to the Brockmann scale34. For grade IV, Sudan yellow

is in the effluent while Sudan III remains in the column.

LCC Column Packing

Inversion Me thod 3.2 gm. Of 170/200 mesh silica gel as

sieved from E. Merck KF254 Ki eseigel were placed in a 100 ml

roundp-bottom flask (F), an apparatus as shown in Figure 17.

The mixed adsorbents were stirred with 60 ml of chloroform.

The apparatus is then inverted 180° to allow the whole slurry

to fail into the 60 cm x 12 mm i.d. glass chromatographic

column in one portion. The col zmn gas ept vertical while

the .csorbent sett- ed down. The :packing depth was 8 cm.

Stirring Method This method can provide a uniform pack-

ing with column diameter less than inch.. The apparatus

is shown in Figure 21. 8.5 gm. of 170/200 mesh silica gel

and 1.5 gm of E. Merck HF254 Kieselgel are stirred gently

in a 250 ml Erlenmeyer flask, which has a side-tube of 1/4"

o. d. and 1 1/2 long with a declination angle of 20°. The

well-stirred slurry is then introduced through the side-

tube into a vertical chromatographic column (60 cm x 12 mm

i.d.) to obtain a uniform packing. A packing depth of 8

cm is required.

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53

1-2

250 m120°1"

1-4" 0.0

Figure 21 Apparatus for Stirring Method for

packing ICC column

Homogeneity Test by Sieve Analysis

The homogeneity of a packed column is checked by

cutting the column into three equal sections lengthwise.

The solid mixture of each section is dried and sieved into

large and small fractions. The homogeneity test is illustrated

in the following result:

No. 230 sieve passing

Weight %Section

I (top) 13.9 %

15.2 %II

11.90 %III (bottom)

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54Resolution. The ability to separate a mixture which contains

compound 1 and 2 into its components is expressed by R, or

Resolution33:

where t R2 and t Rl are the retortion times of the components

2 and 1 respectively, and w2 and w1 are their base peak--

widths as illustrated in Figure 19.

Calculation of Resolution for One-particle size LCC and

Two-particle size T-CC Columns The resolution of LCC

columns were determined at each solvent head with a standard

dye mixture of azobenzene (3.3 mg/ml) and Sudan red (1.5

mg/ml) in chloroform'. Eluting solvent was a mixture of

hexane and ethyl acetate, 98:2 v/v. Sample to adsorbent

was 1:200. The percent transmittance of each chromato-

graphic fraction (1 ml/fraction) was determined at 485 nil,

wavelength in Unicam SP500 spectrophotometer (England).

The resolution (R) and the total number of theoretical plate

(N) total were calculated. The results are summarized in

Table 7 and 8.

R =

2(tR2-tR1)

W1+W2

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55Table 7

Calculation of Two-Particle

Size LCC Column

Solvent inear Resolution Ntotal (for

head flow- Sudan red)

rate(cm)

(cm/min)

0.64 170, 73.62

0.68 4.05 189.04.5

0.716 6.30 311.2

12 0.90 4.60 219.0

1.3324 4.00 l97.1

1.62 4.10 173.136

1.8648 4.05 160.8

Adsorbent: 85% E. Merck 170/200 mesh Kieselgel 60, and

15% E. Merck HF254 Kieselgel (14 u)

Solvent: Hexane: Ethyl acetate 98: 2 (v/v)

Column length: 8 cm

Column diameter (i.d.): 12 mm

Test mixture: Azobenzene+ Sudan red

3

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56

Table 8

Calculation of One-Particle

Size LCC Column

LinearSolvent Resolution Ntotal (for

head Sudan red)flow-

(cm) rate

(cm/min)

1.00 45.80.533

41.70.57 1.306

102.01.900.7712

152.91.04 2.9424

86.61.88 2.0336

1.50 25 .91.9048

Adsorbent: E. Merck 170/200 mesh Kieselgel 60

Solvent: Hexane: Ethyl 98:2 (v/v).

column length: 8 cm Acetate

Column diameter (i.d.): 12 mm

Test mixture: Azobenzene + Sudan red

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57Number of Theoretical Plate Determination

of GC Column

One-Particle Size GC Column Packer 40

Small increments of dry adsorbents are packed through

a funnel into a 1/4 o. d. (4.5 mm i .d.) copper tube, with

a quartz wool plug at one end. The depth of each increment

is about 2 cm. The column is tamped vertically against a

rubber pad for approximately 200 times. After the column

is densely packed, the open end is closed with another plug

of quartz wool. Then the column is coiled to shape, and

mounted in the gas chromatograph with Swagelok fittings.

After conditioned overnight ii-i th nitrogen stream at 5 ml/mir

and oven temperature at 220° C, the column is ready for use.

Two--Particle Size GC Column Packing

Continuous Dry Blending Method To pack a 1 meter long

GC column of l/4 o.d., 20 gm. of 25/30 mesh silica gel

(sieved from Davidson grade 41.8) is placed in. a 35 mm i.d.

funnel with a stem opening of 3 mm. 5 gm. of 170/200 mesh

(Davidson grade 408) silica gel is placed in another funnel

with a stem opening of 0.5 mm. The coarse and the fine

adsorbents are allowed to fall freely into a reservoir.

The mixture in the receiver is tested with sieve analysis.

The openings of the two funnels should be rea lusted in

order to obtain the require ratio coarse to fine (e.g.

85 to 15). After calibrating The two opeinrs of the

apparatus, the two funnels are connected with a “Y” tube

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58leading vertically to the GC column. During the falling

of mixed particle size adsorhen.ts, the column is verbically

tamped against a rubber pad at irregular frequency around

60 times per minute. Then the column is plugged with

quartz wool and coiled to shape. The conditioning is same

as described for one-particle size GC column.

Calculation of Total Number of Theoretical Plates for.

One -D article size GC and Two-Dart itle size GC Columns

The total number of theoretical plates of GC columns

was determined with 1 ul of a 1 to 1 mixture of n-pentane

and n-hexane at each inlet pressure. The results are

summarized in Table 9 and 10.

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59

Table 9

Calculation of Two-Particle

Size GC Column

ResolutionOutlet Ntotal (forInlet

Flow- n-pent ane)pressure

rate(psi)

(mi/Inin)

5.301.7 931.55

3.95753.68 3.9

625.4 3.8010 5.5

3.00409 .712 7.1

2.6910.3 382.616

2.4814.3 321.020

2.23239.725.424

1.69138.330.230

Adsorbent: Davidson grade 408 silica gel, 85% 25/30

mesh, and 15% 170/200 mesh

Column length: 7 meter

Column diameter: o.d. 1/4, i.d. 4.5.min

Test mixture: n-pentane+ n-hexane (1: 1)

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60Table 10

Calculation of One-Particle

Size GC Column

Inlet ResolutionOut let 11total (for

Flow- n-pentane)pressure

rate(psi)

(ml/min)

4 1.21105.31.7

167.6 1.273.05

1.334.l 202.16

1.32242.08 5.2

1.21269.78.010

1.08262.08.912

0.9814.3 231.216

0.95222.416.020

0.87200.122.224

182.0 0.7429.830

Adsorbent: Davidson grade 408 silica gel, 170/200 mesh

Column length: 0.35 meter

Column diameter: o.d. l/4",i.d. 4.5 mm

Test mixture: n-pentane + n-hexane (1: 1)

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61

SECTION V

DISCUSSION

Chromatography is an important technique in separation

and purification of mixture from natural source or chemical

reactions. Profound studies were already done by changing

the parameters of particle size, column diameter, column

length, flow rate, temperature, nature of adsorbent and

support, etc., in order to achieve better resolving power

b all possible means.

This study intorduced another ideal of using two-

particle size material for packing chromatographic columns.

Smaller particles are used to fill the void which are formed

by the larger particles. The range of each particle size

should be as-narrow as possible,

Findings and Results

Detailed studies on the model by mathematical approach

showed how the voidage can be decreased and how the surface

area can be increased by filling with different

sizes of smaller particles.. According to the mathematical

findings from the model, the best adsorbent composition

for chromatography should contain 85% of the large ones and

15% of smaller ones. The diameter ratio of the small one

to the large one is 0.15. In this case there is 33% de-

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62crease in voidage and 85 increase in surface area as

compared with the sinrle particle size packing.

This proposal was proved by experiments to be supersor

to the classical columns in liquid column chromatography

and chromatographty.

The resolution in liquid column chromatography was

found to improve 225%. The maximum resolving power of the

two types of column with sane length at their optimal flow

rate was compared. One column was packed with 170/200

mesh silica gel, and another with 85% 1170/200 mesh mixed

with 15% of 14 u silica gel.

In gas chromatography, the total number of theoretical

plate per column was found to improve 340%. The comparison

was based on flow-rate normalization method, using the same

inlet pressure with various column lengths to produce the

same outlet flow rate. One column was packed with 170/200

mesh silica gel and the other with. 85% of 25/30 mesh mixed

with 15% of 170/200 mesh.

Explanation and Di scusson

In order to explain why two-particle size packing can

achieve much higher resolution than the classical column

packing, the following items such as surface area, voidage,

flow profile, channeling, etc. might be the contributing

factors:

Surface In two-particle size packing, there is 85%

increase in surface area which is provided by the fine ma-

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63terial filling the void formed by larger particles. There-

fore the chance for adsorption and desorption is greatly

increased.

Voidage In chromatographic column, remixing always occurs

in the voids to counteract the separation. In two-particle

size packing, there is 33% decrease in voidage remixing is

thus eliminated.

Flow Profile If a column is densely packed, the flow velo-

city increases radially from the center to the wall42. The

flow profile is shown in Figure 22 (a). The wall-effect

derives from the extra vo id age along the wall as compared

with the normal packing across the column section. In

loose packing, the wall-effect is less serious as shown in

Figure 22 (b). However, loose packing has worse reso wing

power 43. In open tube, the profile has opposite shape

where the resistance along the wall is greater than the

central part of the coluran44.

(c) Open tubular(b) Loose packing(a) Dense packing

Figure 22 Velocity profiles in column, (a) dense packing

fib) loose packing, (c) open tubular

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64Figure 23 illustrates the plate heights for center

and wall in a packed column, as a function of the velocity

of the carrier fluid.

mm12

wall8

center

0 2 4 6 8 10

Linear velocity cm/sec

Figure 23 HETP as a function of linear velocity

in various parts of the cross section

42of a column

4

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65

In two-particle size packing, the void formed by large

particles with the interna wail of a. column. is filled with

small particles. Therefore zhe difference in flow velocity

between the center and along the wall should be less than

that of one-particle size column. Thus a flatter profile

is expected, as well as better resolution.

Channeling Channeling is the usual problem in fine particle

chromatographic columns, but can be minimized by two-particle

size packing. When the fine adsorbents are grouped by large

adsorbents, channeling or cracking can only occur within

the limited cell formed by the larger particles.

i)isadvantag The disadvantage of two-particle size pack-

ing is two-fold:

(1) slow flow rate must be maintained in order to achieve

maximum resolution.

(2) poor reproducibility because of the slope of

resolution-flowrate curve (Figures 18 and 20)

being quite steep.

Page 77: PARTICLE SINE EN CHROMATOGRAPHIC ABSORBENTS AND … · Gas Chromatography. A chromatographic column is assumed to be consisted of many arbitrary plate elements2 in which there is

BIBLIOGRAPHY

1.Tswett, M., Ber, Dent. Botan. Ges.,24.31. 384 (1906),

2. Liddings, J.C,, Dynamnics of Crralatoraphy, Part I

moreel Dekker Inc., New York,1965,pp. 20-26.

3.Golay, M.J.E., Ga s Chromatography,1958, edited by D.H.

Desty, Batterworths, London, 1958, pp. 36-55.

Kirkland, J.J., Anal, them., 43, No.12, 36A (1971).

5. Gidding J.G., op.cit., pp. 281-282.

6.Ma ., J.C.N., US Patent No.3757490, September 19730

7.Stahl,E., ed., Thin Layer Chromatograophy,2nd ed.,

English translation, Springer-Verlag Berlin, 1969,

Section B.

8.Ettre, I .S., and A. Zlatki.s, eds., The Practce of Gas

Chromatography, John Wiley Sons, Yorh, 1967,

Chap. 4.

9. Ottenstein, D.M., Advances in Chro matograoby, Vol. 3,

edited. by J.C. Giddings and R.A. Keller, Marcel Dekker

Inc., New York, 1966, p. 137.

10. Ottenstein., D.M., J. Chromatog. Sci., 11, 136 (1973).

Kieslev, A.V., and Y, I. Yashin, Gas Adsorption Chrora-

graohy, English translation, Plenum Press, New York,

1969,pp.68ff

12. Sternberg, J.C., and R.E. Potilson,, Anal., 36,1493

(1964).

Page 78: PARTICLE SINE EN CHROMATOGRAPHIC ABSORBENTS AND … · Gas Chromatography. A chromatographic column is assumed to be consisted of many arbitrary plate elements2 in which there is

13.Halpaap, H.,J. Chromatog.,78,77(1973).

14.Locke,D.C.,J.Chromatog.Sci.. 11, 12(1973)

15.Myers,M.M., and J.C, Ciddings, Separation Techniques

in Chemistry and Biochemistry, edited by R.A.Kelleer

Marcel Dekker Inc., New York. 1967,p.121.

16.Majows, R.E., J. Chromatog. Sci., 11.88 (1973).

17.Sie., S.T., and N.van dab Hoed, ibid., 7.257(1959).

18.Pypker, J.,Cas Charomatograohy, edited by R.P.W.Scitt,

Butterworths, London, 1960,p.240.

19.Mikitina. N.s., and V.G. Berezkin, Izv. Akad. Nauk.

SSSR,Ser. Khim., 535 (1970). C.A. 73 18804g.

20. Kiesey, A.V. et al.. on, cit,.pp. 16 ff,pp.229 f.

21.Sbrain,H.H.,J. Biol. Chem., 105.523 (1934).

22.Leposen,A,L.,J.Amer.Chem. Soc., 67.1683 (1945).

23.Carlton,J.K.,and W.C. Bradbruy, anal. Chem., 27.67

(1955).

24.(a) Okumurs, T., and T.Kadono, Bunseki Kagaku (Japam

Analyst),21,No.3. 321(1972).

(b) ivid., 21. No, 9.1160 (1972).

25.E. Merck Aktiengesellschaft a Darmstadt (Germany),

Belgium Patent No. 656988,June 1965.

26. Ackermann. h., and H.Woggen. Deutsche akademic der

Wissenschaften zu Berlin (Germany), Deutsches Patentant

Nr. 1667456,June 1971.

27. Deemter,J.J.van, F.J. Zuiderweg, and a. Klinkenbeg,

Chem.Evgng.Sci., 5.271(1956),C.A. 51 501g.

Page 79: PARTICLE SINE EN CHROMATOGRAPHIC ABSORBENTS AND … · Gas Chromatography. A chromatographic column is assumed to be consisted of many arbitrary plate elements2 in which there is

28. Furaas, from D.Kunii and. 0. Levenspiel Fluidization

Enrineering, John Wiley &. Sons, New York, 1969, p.71.

29 .Hubbton, A Study Guide to Chemical Principles,

Ben amin Inc., New fork, 1970, PP. 132 f.

3O. BS-34O6, Method for Determination of Particle Size of

Fowders, Part 2. Liquid Sedimentation Mothod

31. BS-12 (1958), Appendix A, p. 11.

32 BS-S12 (1967),Mineal Aggregate, p.47

33. Ettre, L.S., et al, op. cit., p. 157.

34 Brockmann, H., and H. Schodder, Ber. Deut.Chem.,

74, 73 (1941), C.A. 35 23908.

35. Randerath, K., Dfnnschiht--Chromatographie, Reiniohld,

New York,1962; English Edition,Academic Press,New.

York,1963, p.13.

36.Etter, L.S., et. al.,op. cit., p.156.

37.ibid.

38, Karger, B.L. and W.D. Cooke, Anal. Chem., 36, 9985, 992

(1964).

39. Grushka,. E., ibid., 43, 766 (1971).

4 Ettre,L.S., et. al. op. cit., p. 202.

41. Hernandez, R., and R. Hernandez and L.R. Alexirod,

Anal. Chem., 33, 370 (1961).

42. Rijnders, G.W.A., Advances in Chromatography, Vol. 3,

edited by J.C. Giddings, and R.A. Keller, Marcel Dekker

Inc.. New York, 1966, p. 228.

43. Huyten, F.H., W. van Beersum, and G.W.A. Rinders,

Gas Chromato rarY 1960, edited by R.P.W. Scott,

Butterworth, London, 1960, p. 22L.

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44. Purnell, H., Gas Chromatography, John Wiley & Sons,

New York, 1962, P.59.

k5. Ma. J.C.N., J. Chromatog., 2l, 151 (1966).

L46. Turano, P., and Wm. J. Turner, J. Chromatog., 90, 388

(1974).

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Appendix A.

Sieve Specifications

Nominal SizeBS SieveASTM Sieve

No, (u)* (u)+-%No. (u)

121410141300+- 9.2%

16 1411901095+-8.7%

16100018920+ 8.4%

1884020775+- 8.4%

2225 710650+-9.2%

2559030545+- 8.3%

3050035460 +- 8.7%

42040 36385+ 9,1%

4445 353350323± 8,5%

295297 5250273+- 8.8%

2516025060230+- 807%

211210 7270193.5+- 8.5%

85177 17880163+- 8.6%

100149100 152137+- 8.8%

12120125120115+ 8.8%

10415010514096.5+- 8.7%

170 898817081+ 8.6%

200200 767471+- 8.8%

240 666223057.5+- 8.9%

270 3005348.5+- 9.0%

44 325325 40.5+ 8.8%

400400 37

A is micron(= 10-6 meter)

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