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TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN PHARMACEUTICAL PRODUCT AND PROCESS DEVELOPMENT Naveen K Thakral PPXRD-14 June 8, 2016 1

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Page 1: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN

PHARMACEUTICAL PRODUCT AND PROCESS DEVELOPMENT

Naveen K ThakralPPXRD-14

June 8, 2016

1

Page 2: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

This document was presented at PPXRD -Pharmaceutical Powder X-ray Diffraction Symposium

Sponsored by The International Centre for Diffraction Data

This presentation is provided by the International Centre for Diffraction Data in cooperation with the authors and presenters of the PPXRD symposia for the express purpose of educating the scientific community.

All copyrights for the presentation are retained by the original authors.

The ICDD has received permission from the authors to post this material on our website and make the material available for viewing. Usage is restricted for the purposes of education and scientific research.

ICDD Website - www.icdd.comPPXRD Website – www.icdd.com/ppxrd

Page 3: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

Acknowledgements

2

• Prof. Raj Suryanarayanan (Univ. of Minnesota)• Dr. Gregory Stephenson (Eli Lilly & Co.)• Dr. Hiroyuki Yamada (Mitsubishi Pharma, Japan)• Dr. Bob He (Bruker)• Dr. Karl Jacob (Dow Chemical Co.)• Characterization Facility (UMN)• Argonne National Laboratory (Synchrotron)• Eli Lily and Company• Lilly Innovation Fellowship Award

Page 4: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

In situ Phase Transformation

In situ phase transformation

Change in physical

form

Drug chemically

stable

3

Page 5: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

Market Recall

• 2012: Market recall of nimodipine due tocrystallization of nimodipine in soft gelcapsules, that could adversely affect theproduct's bioavailabilty *

• April 2013, Apotex Corp. recall of 15 lots ofPipercillin and Tazobactum for injection (USP):showing crystallization/precipitation in I.V.bags*

• Dr. Reddy lab (June 2014) and Wockhardt(Sept 2014): Metoprolol succinate prolongedrelease tablet, dissolution failure after 18 and

9 months of storage, respectively* * USFDA

4

Page 6: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

Physical Stability

Final product performancein solid dosage forms

API

(Physical form)

Polymorphism

Solvationstate

Degree of crystallinity

5

Page 7: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

Mitigation Strategy

6

To obtain

mechanistic

insight into

phase

transformation

in tablet

Simultaneous quantification of reactants

and products

Provide the above

information with spatial resolution

Page 8: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

7

Page 9: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

Compression induced phase transformation in amorphous

API: A case study

8

Page 10: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

Compression of amorphous APIPlan

• Introduction

• Analytical method development

• Proof of concept using amorphous trehalose tablets

• Case study: Compression of amorphous indomethacin

• Conclusion

• Other projects

9

Page 11: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

Plan

• Introduction

• Analytical method development

• Proof of concept using amorphous trehalose tablets

• Case study: Compression of amorphous indomethacin

• Conclusion

• Other projects

10

Page 12: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

Effect of Compression on Amorphous Indomethacin

11

QTPPDescription : Round flat tablet.Size : Diameter 8 mm.Identity : Positive for active ingredient.Assay : ± 5% weight.Physical form : Amorphous.In vivo availability: Immediate release determined

by in vitro dissolution test.Dose Uniformity : Meet pharmacopoeial standard.Packaging : Unit dose, moisture protection.

Page 13: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

Plan

12

• Introduction

• Analytical method development

• Proof of concept using amorphous trehalose tablets

• Case study: Compression of amorphous indomethacin

• Conclusion

• Other projects

Page 14: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

Analytical Methods

13

Average phase

information

Powder X-Ray diffractometry

Spectroscopic techniques (IR, RAMAN, Solid

state NMR)

Calorimetry

(DSC, TGA)

Page 15: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

X-ray Diffraction

14

B He. 2009

Page 16: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

XRD in Space (NASA)

NASA July 2015 15

Page 17: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

XRD in Lab.

16

Page 18: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

Conventional Vs 2-Dimensional XRD

17

ObjectPoint

detector

2D detector Object

Page 19: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

Averaging Integration Algorithm

18

Page 20: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

2-D and Texture (Preferred-Orientation)

19

Conventional XRD 2D XRD B He.2009

Page 21: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

20

Page 22: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

21

• Introduction

• Analytical method development

• Proof of concept using amorphous trehalose tablets

• Case study: Compression of amorphous indomethacin

• Conclusion

• Other projects

Page 23: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

22

Glancing angle XRDvs

2D-XRD

Page 24: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

Glancing angle XRD – Depth of penetration: Amorphous

trehalose

23

)])2sin(

1

sin

1([

)I

I1(e

I

Ie

lnd lower

coreD

bilayerD)

)2sin(

1

sin

1(f

coreD

bilayerD)

)2sin(

1

sin

1(f

upper

upper

IDbilayer

Trehalose dihydrate

+Brilliant blue (2% w/w)

Amorphous

trehalose

IDcore

Thakral et al 2015

Page 25: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

Depth of penetration as a function of incident angle

24

265 µmS

A

Ω = 6°

Page 26: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

Depth of penetration as a function of incident angle

25

B

S

Ω = 9°

452 µm

Page 27: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

Depth of penetration as a function of incident angle

26

662 µm

C

S

Ω = 12°

Page 28: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

Integration of different layers

27

}

])2sin(

1

sin

1[

]1e[{KIdxe

S

BKII

))2sin(

1

sin

1(B

0

))-sin(2

1

sin

1(x

0SB

}

])2sin(

1

sin

1[

]1e[{KIdxe

S

AKII

))2sin(

1

sin

1(A

0

))-sin(2

1

sin

1(x

0SA

}

])2sin(

1

sin

1[

]ee[{KIdxe

A

BKII

))2sin(

1

sin

1(A)

)2sin(

1

sin

1(B

0

))-sin(2

1

sin

1(x

0AB

Thakral et al 2015

Page 29: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

Integration of different layers

28

265 µm

187 µm

210 µm 3500 µm

S

Thakral et al 2015

Page 30: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

Crystallization– Amorphous trehalose tablets

29

65%RH

Amorphous trehalose tablet

Sample holder

Ammonium nitrate

(saturated solution; 65%RH)

Page 31: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

Glancing angle XRD

30

0

20

40

60

80

100

120

0 5 10 15

Time (days)

Cry

sta

llin

ity (

%)

=6º

=9º

=12º

SA (265 m)

S

B (452 m)

S

C (662 m)

Page 32: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

2DXRD of split tablets

31

Page 33: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

Specimen setup

32

Page 34: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

Mapping

Top

Bottom

Core

33

Page 35: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

Mapping

Core

34

Page 36: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

Surface vs Core: Split tablets

35

Time, days

0 5 10 15 20 25 30 35

Cry

sta

llin

e f

ractio

n,

% w

/w

0

20

40

60

80

100

120

Surface

Core

Page 37: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

Conclusion

36

XRD-2D

Critical Spatial Information(Not possible by

conventional XRD or Glancing angle XRD)

Mechanistic insight of phase transformation

Page 38: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

• Introduction

• Analytical method development

• Proof of concept using amorphous trehalose tablets

• Case study: Compression of amorphous indomethacin

• Conclusion

• Other projects

37

Page 39: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

Effect of Compression on Amorphous Indomethacin

38

QTPPDescription : Round flat tablet.Size : Diameter 8 mm.Identity : Positive for active ingredient.Assay : ± 5% weight.Physical form : Amorphous.In vivo availability: Immediate release determined

by in vitro dissolution test.Dose Uniformity : Meet pharmacopoeial standard.Packaging : Unit dose, moisture protection.

Page 40: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

Product and Process Outline

39

Indomethacin (amorphous): particle size180 µm (# 80).

-Tablets (8 mm diameter); 200mg

-Compressed on Universal Material Testing Machine (Zwick GmbH & Co.)

- Compression pressure: 10, 25, 50, 100 MPa

-Compressed tablets stored in sealed Mylar pouch at 35 °C.

Page 41: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

Prior Knowledge

40

Thermodynamically Pressure is “intensive variable”

Amorphous compounds lower density than their crystalline counterparts.

Compression densify amorphous materials promote intermolecular interactions and increase the probability of nucleation.

“Amorphous material has an upper density limit, beyondwhich the external pressure induces strain and causes thematerials to crystallize.”

Wu C T 1975

Page 42: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

Product CQA

41

Risk:

Amorphous crystalline (stable;low energy state) dissolution failure affect bioavailability

CQA “Stable” amorphous state throughout the shelf life of the product.

Page 43: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

Experiment

42

Mylar Pouch fitted with temperature and humidity sensor

Sealed

Stored at ~35°C in Oven

2D XRD

Different TimeIntervals

Page 44: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

Analytical techniques

43

• Synchrotron XRD

(First evidence of crystallization)

• 2D-XRD

(Depth profiling)

Page 45: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

Synchrotron XRD (Argonne National Laboratory)

Beam-line 17 BM-B

44

Source Bending Magnet

MonochromatorType

Si(111)

Energy Range 15-18 keV

Resolution (ΔE/E) 1.5 x 10 -4

Flux (photons/sec) 8 x 1011 @15 keV

Beam Size (HxV)

Focused

Wavelength

250µm x 160µm

0.72808 Å

Page 46: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

Compressed Tablets (100 MPa)Time ‘0’ (SXRD)

45

0

500

1000

1500

2000

2500

3000

3500

4000

4500

5000

0 5 10 15 20 25 30 35 40

Inte

nsi

ty (

cou

nts

)

2θ, degrees

Page 47: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

2D-XRD Depth ProfilingDirections of Mapping

46

Page 48: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

Depth Profiling (Radial) – 24 hours

47

10 MPa

100 MPa

0

10

20

30

40

50

0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5 7 7.5 8 Co

mp

ress

ion

pre

ssu

re

Cry

stal

line

fra

ctio

n, %

w/w

Distance, mm

10 MPa 100 MPa

Page 49: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

Unlubricated radial surface vs Core

48

10 MPa 25 MPa 50 MPa 100 MPa

Cry

sta

lline fra

ction, %

w/w

0

10

20

30

40

50

60

Unlubricated radial surface

Unlubricated core

Page 50: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

Unlubricated radial surface vs Core

49

Page 51: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

Compression with no wall friction

50

Page 52: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

Compression vs hydrostatic

51

0

5

10

15

20

25

30

35

0 20 40 60 80 100 120

Cry

stal

line

fra

ctio

n, %

w/w

Pressure, MPa

Compression Core Hydrostatic

Page 53: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

Lubrication (Magnesium stearate)

52

Internal lubricationMagnesium stearate (1% w/w)

was addedto amorphous indomethacin,

before compression

External lubrication

Page 54: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

External lubrication

53Magnesium stearate applied to die wall

Page 55: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

Internal vs External lubrication

54

External Lubricant

Internal Lubricant

0

10

20

30

40

50

10 Mpa 25MPa 50 Mpa 100 Mpa

Cry

stal

line

fra

ctio

n, %

w/w

Radial Surface (24 hours)

External Lubricant

Internal Lubricant

0

10

20

30

40

50

10 Mpa 25 Mpa 50 Mpa 100 Mpa

Cry

stal

line

fra

ctio

n, %

w/w

Core (24 hours)

Page 56: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

Inductively Coupled Plasma Mass Spectrometry (ICP-MS)

55

Page 57: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

Conclusion

56

• Compression induces crystallization.

• Shear stress due to die wall additional

crystallization.

• External lubrication arrest additional crystallization.

• As pressure is inherent to compression, crystallization could not be stopped.

Page 58: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

Unlubricated radial surface vs Core

57

Page 59: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

Wall friction

I.C Sinka 2003

Page 60: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

59

Page 61: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

For liquids in a tank

60

𝝈z = ρgz

𝝈z (Vertical stress)

z

Z height from top surface

Page 62: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

Fluid vs Bulk solids

61

Stress 𝝈z

Z h

eig

ht

Fluid Bulk Solid

Janssen H A 1895

Surface

Bottom

Page 63: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

For bulk solids

Janssen’s analysis (stresses in a cylindrical silo)

σz=ρgD

4µK[1 − 𝑒

4µ𝐾

𝐷𝑧]

D Diameter

µ wall friction (µ =𝜏𝑤

σw)

K Stress ration (σw

σ𝑧)

62

𝜏𝑤σw

Janssen H A 1895

𝝈z

Page 64: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

Ongoing research

63

Reducing the compression pressure without compromising the tensile strength, by using plastic excipient like microcrystalline cellulose.

0

2

4

6

8

10

12

0 50 100 150 200 250 300 350

Ten

sile

str

en

gth

, MP

a

Compression pressure, MPa

PVP K30 MCC Starch HPMC

Page 65: TWO-DIMENSIONAL X-RAY DIFFRACTOMETRY IN … Thakral.pdf · two-dimensional x-ray diffractometry in pharmaceutical product and process development naveen k thakral ppxrd-14 june 8,

64

THANK YOU

QUESTIONS?