Properties - Rice University

BET Surface Area Analyzer

Seminar and Practical

Training Short Course

October 18-19, 2006

Rice University, Houston TX

Quantachrome

I N S T R U M E N T S

Quantachrome

Quantachrome Instruments Corporate Headquarters,

Boynton Beach, Florida

•

Quantachrome...renowned innovator of ideas for today's particle technology needs. For more than 30 years,

Quantachrome's scientists have revolutionized measurement techniques and designed instrumentation to enable the accurate, precise, and reliable characterization of powdered and porous materials.

•

Products designed and manufactured to

ISO9000.

© 2004-2006 Quantachrome Instruments

Martin Thomas PhD

•

PhD; Birmingham University, U.K.

•

Research Investigator, Cookson Group

•

Principal Research Officer, ICI Katalco

•

With Quantachrome since 1991

•

ASTM Committee Member (D32, D24, D11, C01)

•

Co-Author “Characterization of Porous Solids and

Powders: Surface Area, Pore Size and Density” by S. Lowell, J.E Shields, M.A. Thomas & M. Thommes pub.Springer (2004)


Autosorb-3B



Measure surface area and pore size of up to 3 samples simultaneously .



Autosorb-3B equipped with three built-in degas ports.



Features BatchStart and

MaxiDose operating methods.

Autosorb ® -3B


Quantachrome


Surface Area

& Gas Sorption

Surface Area – What is it?

“Surface Area is the means through which a solid interacts with its surroundings, especially liquids and gases.”

Surface area is created by division of particles (size reduction) and the generation of porosity.

Surface area is destroyed by sintering

(exceeding T g

), melting and Ostwald ripening.



How to Create Area

•

Size Reduction

– Grinding,

– milling,

– nanoscale preparation

•

Make pores

– Partial decomposition

– Leach

– Gel then lyophilize

How to Destroy Area

•

Surface area is destroyed by

– melting

– sintering (exceeding T g

), and

– Ostwald ripening


Surface Area – Importance?

Remember that surface area is the means through which a solid interacts with its surroundings.

Consider the following four interactions:

Solid-Solid: adhesion

Solid-Solid: autohesiveness (cohesiveness) eg flow, compactibility etc.

Solid-Liquid: wetting, non-wetting, adsorption capacity etc.

Solid-Gas: adsorption, catalysis, etc.


Adhesion

Carbon black is used as a reinforcing agent in rubber.

Different grades of carbon black are used in tire innerliners, carcasses, sidewalls and treads, as well as in industrial rubber products, like belts, hoses and gaskets .

Race compound is formulated with specialized ultra-fine carbon black to yield higher grip.



Autohesion

Liquid-Solid Interaction

Wicking: adhesive forces exceed cohesive forces… liquid wax is drawn up through fibers of wick to the exterior where it evaporates, mixes with air and burns upon ignition from the hot gases above.


Gas-Solid Interaction


The gas sorption process

•

Langmuir

[1] described the kinetic behavior of the adsorption process. He postulated that at equilibrium, the rate of arrival of adsorptive

(adsorption) and the rate of evaporation of adsorbate (desorption) were equal.

•

Furthermore, the heat of adsorption was taken to be constant and unchanging with the degree of coverage, θ.

[1] I. Langmuir, J. Amer. Chem. Soc ., 40 , 1368 (1918)


Irving Langmuir (1881-1957) http://public.lanl.gov/alp/plasma/history.html

Graduated as a metallurgical engineer from the

School of Mines at Columbia University in 1903

1903-1906 M.A. and Ph.D. in 1906 from

Göttingen.

1906-1909 Instructor in Chemistry at Stevens

Institute of Technology, Hoboken, New Jersey.

1909 –1950 General Electric Company at

Schenectady where he eventually became

Associate Director

1913 :Invented the gas filled, coiled tungsten filament incandescent lamp.

1919 to 1921, his interest turned to an examination of atomic theory, and he published his "concentric theory of atomic structure" . In it he proposed that all atoms try to complete an outer electron shell of eight electrons


http://public.lanl.gov/alp/plasma/history.html

Irving Langmuir (1881-1957)… continued

1927 Coined the use of the term " plasma " for an ionized gas.

1935-1937 With Katherine Blodgett studied thin films.

1948-1953 With Vincent Schaefer discovered that the introduction of dry ice and iodide into a sufficiently moist cloud of low temperature could induce precipitation.

1932 The Nobel Prize in Chemistry "for his discoveries and investigations in surface chemistry"


Langmuirian behavior

Confining adsorption to a monolayer , the Langmuir equation can be written

V

V m



KP

1  KP where V is the volume of gas adsorbed at pressure P ,

V m is the monolayer capacity (i.e. θ=1) expressed as the volume of gas at STP and K is a constant for any given gas-solid pair. Rearranging in the form of a straight line (y=ab+x) gives

P



V

1

KV m



P

V m


Quantachrome


Gas Sorption

Isotherms

Suitable Methods of

Determination

• Gas adsorption allows probing of entire surface including irregularities and pore interiors.

• The amount adsorbed is a function of temperature, pressure and the strength of attraction or interaction potential.

• Physisorption is generally weak and reversible. The solid must be cooled and a method used to estimate the monolayer coverage from which surface area can be calculated.


The gas sorption process intermolecular forces

4E-07

2E-07

0

8 10 12 14 16 18 20 22 24

-2E-07

-4E-07 Lennard-Jones potential function


Series 1

Adsorption Process

Adsorbate

Adsorptive

Adsorbent


The Isotherm

•

The amount of gas adsorbed is a function of

– The strength of interaction between gas and solid (intrinsic)

– Temperature (fixed)

– Pressure (controlled variable)… expressed as relative pressure P/Po


Saturation Pressure

Po, p

0

, p

sat

Po value can be

• measured in a dedicated cell

– with or

– without dedicated transducer

• calculated from atmospheric pressure

• input manually (eg Kr 2.63mmHg at 77.4K)

• measured in cell over sample



2

Physisorption Process

4)

Very Low Pressure Behavior

(micropore filling)


Relative Pressure, P/Po

Low Pressure Behavior

(monolayer)

The “knee”



Medium Pressure Behavior

(multilayer)



High Pressure Behavior

(capillary condensation)



Types of Isotherms

Limiting value (plateau) due to filled pores and essentially zero external area.

Type I or pseudo“Langmuir”

Steep initial region due to very strong adsorption, for example in micropores.


Relative Pressure (P/Po)

Types of Isotherms

Absence of hysteresis indicates adsorption on and desorption from a non-porous surface..

Type II

Low slope region in middle of isotherm indicates first few multilayers

Rounded knee indicates approximate location of monolayer formation.



Types of Isotherms

Example: krypton on polymethylmethacrylate

Type III

Lack of knee represents extremely weak adsorbate-adsorbent interaction

BET is not applicable



Type IV

Types of Isotherms

Hysteresis indicates capillary condensation in meso and macropores.

Closure at P/Po~0.4 indicates presence of small mesopores

(hysteresis would stay open longer but for the tensilestrength-failure of the nitrogen meniscus.

Rounded knee indicates approximate location of monolayer formation.

Low slope region in middle of isotherm indicates first few multilayers



Types of Isotherms

Example: water on carbon black

Type V

Lack of knee represents extremely weak adsorbate-adsorbent interaction

BET is not applicable



Choice of Gas and

Temperature

•

Gases

– Nitrogen

– Argon

– Krypton

– Carbon dioxide

– Others

•

Temperatures

– Liquid Nitrogen

– Liquid Argon

– Dry ice/acetone

– Water/ice

– Others


Choice of Gas and

Temperature

•

Gases

– Nitrogen

– Argon

– Krypton

– Carbon dioxide

– Others

•

Temperatures

– Liquid Nitrogen

– Liquid Argon

– Dry ice/acetone

– Water/ice

– Others


Quantachrome


Apparatus &

Measurement

Measurement Method

Manometric

(Classical vacuum, volumetric.)

Requires that adsorbate be adsorbed by the sample, at some reduced temperature, as a function of pressure of pure adsorptive.


Manometric

•

P/Po values are achieved by creating conditions of partial vacuum.

•

High precision and accurate pressure transducers monitor pressure changes due to the adsorption process.



Manometric

Working Equation

PV = nRT n ads

= n dosed

- n void n ads

= (



PV/RT) man.

- (PV/RT) cell


Working Equation

n ads

= (



PV/RT) man.

- (PV/RT) cell

That is, the amount adsorbed is calculated as the difference between a) the amount of gas “dosed” from the manifold to the cell and b) the mount of gas which remains not adsorbed at the end of the “equilibration time”.


Quantachrome


BET Calculation

Principles of BET Surface Area

Measurement and Calculation

Determine the monolayer capacity Vm from which the surface area of the solid can be computed.

Adsorbate most commonly used is nitrogen...

• Readily available in high purity

• Appropriate coolant, liquid nitrogen, also plentiful.

• Gas-solid interaction relatively strong.

• Widely accepted cross sectional area.


Brunauer, Emmett & Teller

http://www.llnl.gov/llnl/history/directors.html

•

Model of adsorption extended to multilayers .

S. Brunauer, P.H. Emmett and E. Teller, J. Amer. Chem. Soc ., 60 , 309 (1938)

V

V m



( 1



P

C ( P

P

0

)( 1



P

P

0

)

P

0



C ( P P

0

)


Brunauer, Emmett & Teller

Or, in its familiar linearized form…

V [( P

0

1

P )



1 ]



1

V m

C



C



V m

C

1





P

P

0



 http://www.llnl.gov/llnl/history/directors.html

•

BET ‘C’ constant varies from solid to solid.

Low values represent weak gas adsorption typical of low surface area solids, organics and metals in particular.


Measurement

Obtain at least three data points in the relative pressure range

0.025 to 0.30

Plot 1/[V

STP

(Po/P)-1] versus P/Po. It should yield a straight line… if the BET model holds true.

On all surfaces the BET model fails to accurately predict the multilayer adsorption behavior above P/Po = 0.5 (the onset of capillary condensation which fills pores with liquid adsorbate)


The Gas Adsorption Isotherm

0


negative intercepts are unacceptable

Relative pressure, P/Po

Calculation of Surface Area by the BET method.

0


negative intercepts are unacceptable relative pressure, P/Po

Calculation

Fit best straight line through BET data set using least squares regression to find: slope s



C



1

V m

C intercept i



1

V m

C


Calculation

(continued)

Solving for V m

V m

 s

1

 i

Total surface area, S t

, is calculated thus

S t



V m

L av

A m

M v

L av

= 6.022 x 10 23

A m

= 0.162 nm 2

M v

= 22 414 mL nm 2 to m 2 , x 10 -18



visual check for linearity

0



Multi-Point BET Plot

(Interpretation)

•

Never use data points too low in relative pressure (P/Po).

•

Never use data points too high in (P/Po).


Multi-Point BET Plot

(Interpretation)

•

Discard under-equilibrated points (at low P/Po)

•

Never use less than three, preferably five data points.



0



Single-point BET Method

•

Set intercept to zero, i.e ignore ‘C’ (adsorption strength)

•

Monolayer volume is inverse of slope.

•

P/Po = 0.3 gives good general agreement with multi-point

– the higher the C value, the better the agreement.

(note: monolayer is formed closer to P/Po = 0.2

Approximate values of C

C = 2 to 50 metals, polymers, organics

C = 50 to 200 oxides, silicates

C = >200 activated carbons, zeolites


Other Uses of the Single-point

Method

To determine appropriate P/Po range for multi-point BET.

•

Acquire minimum seven data points in the P/Po range 0.05 to

0.3.

•

Discard objectively from the multipoint surface area calculation those higher P/P

0 line… values that clearly do not lie on a straight BET

•

The upper limit of the linear BET range can usually be obtained by calculating the single-point BET area using each datum point in turn. Normally, the calculated single-point area will increase with increasing P/P

0 up to some maximum, beyond which the calculated value will decrease. That maximum indicates the upper limit for the multi-point range.


Limitations of BET Surface Area

Method

•

In certain cases, the calculated single – point value never goes through a maximum. Evidenced by a gradual decrease in slope in the BET plot.

•This may or may not be accompanied by a short linear region at lower relative pressures, If there is no truly linear region, then it can be said that the BET equation is invalid for that particular sample …


Enhanced Adsorption?

•

Isotherms of such samples appear to have some type III character at very low pressure, indicative of very weak adsorption, yet demonstrate enhanced adsorption within the normal BET region.

•

This behavior can be attributed to a cooperative adsorption process.

•

Has been described for slit-shaped pores of critical dimensions; water on carbon (hydrophobic surface) is a typical example.


Standard Surface Area Method

e.g. USP



846



• Static Volumetric Apparatus

Multi-point BET

Correlation coefficient, r >0.9975

• Dynamic Flow Apparatus

Single-point BET

• Krypton for very low surface areas

(<0.5 m 2 /g)


Applying the method to a common pharmaceutical ingredient.


Excipient: Magnesium

Stearate

•

Imparts certain compaction, hardness, disintegration and dissolution characteristics to solid dosage forms.

Primarily added in order to lubricate powder flow and compaction.

•

Specific surface areas from 3.53 to 53.6 m 2 /g have been reported. Majority of values lie in the range 4 to 10 m 2 /g.


Excipient: Magnesium

Stearate

•

Variability in measured surface area values can be imparted by different outgassing .

•

The BET C constant for N2 adsorption on magnesium stearate (at 77.4 K) is low (3 – 15). Care must be taken to ensure that sufficient time be allowed for adsorption to come to complete equilibrium at each point.


Multi-point BET vs.Single-point

Comparison

Sample

No.

Multipoint

BET

(m2/g)

Uncorrected

Single-point

(m2/g)

Uncorrected

Difference

(%)

Corrected

Singlepoint

(m

2

/g)

Corrected

Difference

(%)

1 4.923

4.241

-13.9

4.948

+0.51

2 4.286

3.664

-14.5

4.275

-0.26

3 8.056

6.867

-14.8

8.011

-0.56

4 5.957

5.194

-12.8

6.060

+1.73

Corrected by multiplier C/C-2


MgSt Monograph

•

Outgas 40 degC for 2 hours

•

P/Po range 0.05 to 0.15

•

“If the plot deviates from linearity for P/Po values of 0.05 to 0.15, then a suitable range of P/Po values should be validated for linearity. In this case, it is necessary to state the range of validated

P/Po values, and the outgassing conditions employed.”


“On the difficulty of assessing the specific surface area of magnesium stearate”

Abstract

The water content of magnesium stearate modified by ageing in humid air at room temperature or by vacuum treatment.

The complete adsorption –desorption isotherms of nitrogen and krypton measured at liquid nitrogen temperature after standardized vacuum degassing.

(a) the BET surface area values computed from the adsorption branch vary widely and is increasing with increasing water content;

Cyrille Andre`s, Pierre Bracconi, Yvette Pourcelot

International Journal of Pharmaceutics 218 (2001) 153 –163


Mag. Stearate Thermograms

Mikko Koivisto, Hannu Jalonen and Ensio Laine

Outgassed 105 degC

Outgassed 60 degC

As received

Moisture, 6 weeks


Temperature (degC)


“On the difficulty of assessing the specific surface area of magnesium stearate”

(b) anomalous hysteresis of varying amplitude is observed in all cases except adsorption of krypton on the material with the lowest water content;

(c) the hysteresis loops extend down to very low desorption pressure values and cannot be accounted for by capillary condensation.

(d) the surface area value of a given material computed from nitrogen and krypton adsorption may differ by a factor as high as six.

Cyrille Andre`s, Pierre Bracconi, Yvette Pourcelot

International Journal of Pharmaceutics 218 (2001) 153 –163


In pursuit of linearity: shortcomings of

<846> and monograph.

•

Chemical state of MgSt ignored.

•

Neither <846> nor monograph demand consecutive data points be used.

•

Neither <846> nor monograph demand a minimum P/Po spread.

•

ANY three points spaced closely enough could yield sufficient linearity.

•

Reasonable value of “C” not considered.


In pursuit of linearity: shortcomings of

<846> and monograph.

•

“It may be worth reemphasizing that the correctness of the theory* is not proven if a plot of the data according to equation (38)* gives a straight line. It is also necessary that the evaluated constants should have reasonable values”

•

* refers to what we now call the BET equation.

Stephen Brunauer “The Adsorption of Gases and Vapors, Volume 1” Princeton

Univeristy Press, 1945, page 154.


Changing Outgassing in Pursuit of Linearity

•

“state… the outgassing conditions employed” suggests that 40 degC for 2 hours is not an absolute requirement!

•

Let’s look at the influence of temperature and time…


8

6

4

12

10

2

10

Surface Area as fn of Degas

Temperature (He flow, 24 hours)

D.S.Phadke and J.L. Coller Drug Dev. Ind. Pharm . 20 (5) 853-858 (1994)

Mallinckrodt

Witco

20 30 40 50

Temperature (degC)

60 70


Surface Area as fn of Degas Time @ 40 degC

25

20

15

35

30

10

5

0

0

Lot 1

Lot 2

40 80

Time (hrs)

120

Private communication, unpublished data (1999)

160


“Let’s make some careful, slow measurements for a more precise result.”


Non-bovine Magnesium Stearate

isotherm

BET plot


isotherm

Zinc Stearate

BET plot

NOT the answer!


What can be done?

•

Outgas well… low temperature and short time need good exposure of surface to vacuum. Use a large bulb cell, spread sample around inside of bulb.

•

Analyze quickly: aim for no more than 5m 2 in the cell; don’t waste time measuring Po (use atmos P

+ 10 torr); don’t use overlong equilibrium settings.

•

Freeze/thaw outgassing technique can give different values than simple evacuation (or flow).


Surface Area Summary

Why?

•

Surface Area affects reaction rates with liquids and gases, e.g. dissolution, catalytic activity


Bibliography

Characterization of Porous Solids and Powders: Surface Area, Pore Size and

Density by S. Lowell, J.E Shields, M.A. Thomas & M. Thommes (2004)

Springer ISBN:1402023022

Adsorption, Surface Area and Porosity by S.J. Gregg and K.S.W. Sing 2 nd Edition

(1982) Academic Press ISBN: 0123009561

Particle Size Measurement Vols 1 & 2 by Terence Allen 5 th edition (1997)

Springer ISBN: 0412753502 (2 volume set)

Particle Characterization: Light Scattering Methods by Ren Xu (2000)

Springer ISBN: 0792363000

Particle-Particle Adhesion in Pharmaceutical Powder Handling by Fridrun

Podczeck (1999) World Scientific Publishing Company ISBN: 1860941125

Manual on Test Sieving Methods (ASTM Manual Series, Manual 32) by ASTM

Committee E-29 on Particle and Spray Characterization(1998)

ASTM ISBN: 0803124953

Particle Size Characterization (Recommended Practice Guide)

Special Publication 960-1, NIST (2001)
