crystals_JLiangXtal
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Lecture slides by Jessica K. Liang (Illinois Institute of Technology) for the ACS Summer School, Chicago, July 2003. They cover crystal structure, space groups, morphology and habit, polymorphism (monotropic and enantiotropic systems), supersaturation, metastable zone width, nucleation, and growth theories such as BCF. This is a third-party presentation in the archive, not Phil's own work.
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Small Molecule
Crystalliza tion
Jessica K. Liang
Department of Chemical Engineering
Illinois Institute of Technology
ACS Summer School July 2003 Chicago IL
Overview
ØBasic Crystal Science
ØCrystallization Process
ØOur Research Projects
ØLab Tour
New Y orkWhat is a Cr ystal?
Crystal Amor phous
London
Ø Solid with short and long range order
with atoms or molecules in a fi xed lattice
arrangement Definition of Crystal
Ø The distinction between a crystal and
an amorphous solid is that between
order and disorder over large distances
Ø Internal structure of crystals
accessible by x-ray dif fraction analysis
Crystal Str uctur e
Unit cell parameters: a, b, c, α, β,
γ
Seven Cr ystal Systems
Space Gr oups
Ø 230 space groups
Ø For organic
molecules, statistics
shows that 95% of all
compounds crystallize
out in these 16 space
groups• P21/c monoclinic
• P21 monoclinic
• P21/m monoclinic
• P2/c monoclinic
• C2/c monoclinic
• C2/m monoclinic
• Cc monoclinic
• C2 monoclinic
• P-1 triclinic
• P1 triclinic
• P212121 orthorhombic
• Pbca orthorhombic
• Pnma orthorhombic
• Pna21 orthorhombic
• Pbcn orthorhombic
• Pca21 orthorhombic
• P21212 orthorhombic
X-Ray Dif fraction
Structure Determination
Ø Need good quality single crystal
Send to Crystallographer .
ØThey determine lattice type, parameters i.e. a, b, c, α, β, γ
atom positions and space group
Ø Space groups relate crystal symmetry on an atomic
scale to possible arrangement of atom which possess
that symmetry .
Ø Given systems and space group you can calculate all
possible arrangement of atoms which meet this
symmetry .
Types of Crystals
Ø Ionic – Charged ions held in place on
lattice by electrostatic forces (NaCl)
Ø Covalent – Atoms connected by
framework of covalent bonds (Diamond)
Ø Molecular Crystals – Usually organic,
composed of discrete molecules held
together by weak attractive forces (Urea)
Ø Metallic Crystals – Ordered arrays of
identical cations (Copper)
Morpholog y and Ha bit
ØCrystal morphology is defi ned as the general
appearance of crystals described by the
Miller indices of the faces that show and give
the crystals their characteristic shape
ØCrystal habit means the general shape of a
crystal as given by the relative length of the
various major axes.
ØBoth morphology and habit depend on growth
conditions and can vary under dif ferent
process conditions.
Morpholog y and Ha bit
Same morphological form
but dif ferent habit
Different morphological
form but same habit
Crystal Siz e Distribution
Ø CSD: the most widely applied quality
test of a crystalline product
Ø Many industrial processes demand a
narrow range of particle size as this
results in good fi ltering, drying and free-
flow ability
Sizing Method
On-lined sizing
Polymor phism
ØThe phenomenon of a
chemical species having
more than one possible
crystal form e.g. Carbon
(graphite: top and pencil and
diamond: bottom) whilst
remaining chemically identical
ØDifferent forms maybe
signifi cantly dif ferent in terms
of both their structures and
physical & chemical
properties
Reference: Yu, L.; Stephenson, G. A.; Mitchell, C. A.; Bunnell, C. A.; Snorek, S. V.; Bowyer , J. J.; Borchardt, T. B.; Stowell, J. G;
Byrn, S. R. J. Am. Chem. Soc . 2000, 122, 585 .5-Methyl-2-[(2-nitrophenyl)amino]-3-thiophenecarbonitrile
“ROY”
6 Polymorph
Forms
McCr one’s Law
‘Every compound has dif ferent
polymorphic forms, and that, in
general,the number of forms known for a
given compound is proportional to the
time and money spent in research on that
compound.’
McCrone, W.C. Polymorphism in Physics and Chemistry of the Organic Solid
State , Ed. by Fox D, Labes MM, Weissber ger A1965, Vol. II, pp. 726-767 , Wiley
Interscience New York.
Types of Polymor phism
Packing Polymorphism
Ø Packing and bonding arrangement of the structure in its
different forms are signifi cantly dif ferent
Conformational Polymorphism
Ø The existence of dif ferent conformers of the same
molecule in dif ferent polymorphic modifi cations
Ø Low energy dif ference between various conformations
Pseudopolymorphism
Ø A new structure of a compound that is hydrated or
solvated
Packing P olymor phism
Glycine
(C2H5NO2)
Albrecht G and Corey RB J. Am. Chem. Soc ., 1931 , 61, 1037.
Y. Iitaka, Proc. Jap. Acad . 1954 ; Vol. 30,109-1 12
Hexagonal
Monoclinic
Conformational
Polymor phism
Koch MH, Acta Cryst B29, 1973 , 379.
Azibi M et al., J. Pharm Sci ., 72, 1983 , 232.Spiperone
(C23H26FN3O2)
Polymor phic Pr operties
Packing Properties
Ø Molar volume, density , refractive index, conductivity , hygroscopicity
Thermodynamic Properties
Ø Melting and sublimation temperature, structural energy , Enthalpy ,
Heat capacity , Entropy , Free energy and chemical potential,
Thermodynamic activity , Vapor pressure, Solubility
Kinetic Properties
Ø Dissolution rates, rates of solid state reactions, stability
Spectroscopic Properties
Surface Properties
Ø Surface free energy , interfacial tension, morphology
Mechanical Properties
Ø Hardness, tensile strength, compactability , handling, fl ow
Bioavailability
Char acteriza tion Methods
Crystallography: X-Ray Dif fraction
Ø Single Crystal X-Ray Dif fraction
Ø X-Ray Powder Dif fraction
Morphology: Microscopy
Ø Polarizing Optical Microscopy
Ø Thermal Microscopy
Phase Transitions: Thermal Methods of Analysis
Ø Thermogravimetry
Ø Differential Thermal Analysis
Ø Differential Scanning Calorimetry
Molecular Motion: V ibrational Spectroscopy
Ø Infrared Absorption Spectroscopy
Ø Raman Spectroscopy
Chemical Environment: Nuclear Magnetic Resonance
SpectrometryOn-lined
Monotr opic System
ØOne form is metastable
relative to the other at all
temperatures below the
melting point
ØPolymorphs are not
interconvertible
ØSolubility of the stable form is
always lower than the
metastable form
Monotr opic System
β−form
α−form
L-glutamic acid C 5H9NO4
Enantiotr opic System
ØPolymorphic form dependent
upon the temperature and
pressure of the system
ØReversible transition point
where relative
thermodynamic stabilities
change
ØTransition point below
melting point for any of the
solid phase
L-Phenylalanine
Monohydrat
e stable
Anhydrate
stable38o
CØ Metastable
form may exist
for a long time;
Ø Presence of
the stable form
results in
solvent
mediated phase
transformation
Crystalliza tion
ØFormation of a crystalline phase
from a parent phase, e.g. solution
ØOne of the oldest and most
important unit operations, e.g.
extracting salt crystals from sea
water
ØOver 90% of all pharmaceutical
products contain drug substances
in crystalline form
Crystalliza tion Pr ocess
Final ProductLiquid
MixtureNucleation:
Birth of Solid
PhaseCrystal
GrowthGeneration of
Supersaturatio
n:Driving force
Solid Form
(Polymorph,Hydrate
)Ratio of Rate of
Nucleation to Growth
Controls Final Product
Size DistributionCrystal Habit,
Crystal Purity
Definition of Super saturation
C* : equilibrium concentration for a given temperature
C : solution concentration; T*: saturated temperature;
Tcry: Crystallization temperatureSupercooling
Gener ation of
Super saturation
Mode Supersaturation
generation method
Cooling Reduction in temperature
Evaporation Lost of solvent
Dilution Adding anti-solvent
Reaction Generation of solute
Vacuum Cooling, fl ashing
evaporation
Ø Supersaturated zone:
Spontaneous nucleation is
expected
Ø Metastable zone:
Spontaneous nucleation is
impossible
Ø Stable zone:
Nucleation is impossible
Metasta ble Zone
Solubility & Supersolubility
Diagram
Metasta ble Zone W idth
Ø MSZW is a nucleation kinetic-limited
parameter that is highly dependent on process
conditions
Ø Many factors may infl uence the value of
MSZW , e.g. rate of cooling, agitation, the
presence of foreign particles and impuritiesØ Metastable zone width (MSZW) is a critical
parameter in the crystallisation process as it
reveals the nucleation behaviour of the system
Effects of Cooling Ra te & Agita tion
Ø MSZW decreases as stirrer
speed increases
Ø MSZW widens at N>400rpm
Ø MSZW widens as cooling
rate rises
Cooling crystallization of aqueous
L-glutamic acid solutions200 250 300 400 500152025303540455055
0.2°C/min
0.5°C/min0.3°C/min
Nucleation
Homogeneous:
SpontaneousHeterogeneous:
Induced by the
presence of foreign
particlesPrimary
Nucleation:
Nucleation in crystal
free systemSecondary
Nucleation:
Induced by the presence
of crystals
Homogenous Nuc leation
r: radius of cluster
vm: specifi c volume of solute
molecules
SB: supersaturation of the solution
γ: solid-liquid interfacial tensionGibbs Free
Energy Change
Free Energy Diagram
Metastable Unstable Stable
AGs
i
3ry Bi c 2'
8 ——— Workofbringing g wate &see ie thebodytothe_ omens ips unstable state
3 Za TTS Rainer? a oe Bo:
2 Displacement _!
$ |pNuelira if
Embryos |Growing crystals
ve t Workofnuclei
{ Xcritical nucteus Size
~ Size ofnucleus, r Particle size
Heter ogeneous Nuc leation
Ø Heterogeneous nucleation: caused
by dust, dirt, rough spots on walls, etc
Ø In industrial processes,
homogeneous nucleation is rare
Ø Nucleation is usually heterogeneous
and/or secondary
Heter ogeneous Nuc leation
Ø Lower energy barrier
Energy Ratio
Contact
angle
Empirical Nuc leation Model
J :Nucleation rate
kn:Nucleation rate constant
m:Nucleation order
C*:equilibrium concentration at
nucleation temperature
C:solution concentration
Secondar y Nuc leation
Stirring rateSuspension
densityØ Nucleation caused by interaction of existing crystals with
vessel, impeller or by collisions
Ø The main source of nuclei in many industrial applications
Ø Empirical model: B secondary nucleation rate
Secondar y Nuc leation
Supersaturation
Stirr er speed
Secondary Nucleation of Potassium Chloride
Secondar y Nuc leation
Ø Higher secondary
nucleation rate using
steel impeller
Ø Secondary
nucleation rate
increases as agitator
speed rises
Crystal Gr owth
(1)Transport
from bulk to
boundary layer
(2)Dif fusion
to crystal
surface
(3) Absorb
onto
surface and
partial
desolvation (4)Dif fusion to energetically
favorable sites(4*)
Diffusion
away (5)
Integration
at a kink
and total
desolvatio
n
Molecule Incor poration
Single molecule incorporation on fl at areas of a
crystal face is not energetically favorable
Molecule is bonded both to a
step face as well as to the
surfaceMost energetically
favorable: three
sides of molecular
cube are bonded
( kink site)
Surface Structur e of a Gr owing Crystal
Ø Where do the steps come from?
Ø What is the rate control factor in
determining the crystal growth rate?Crystal Gr owth T heories
BCF (Bur ton Ca brera Frank) T heor y
Ø Dislocations in the crystal are the source of
new steps (dislocations are a certain type of
irregularity in the structure of the crystal
lattice)
Ø Screw dislocation provides a way for the
steps to grow continuously
Spiral Growth from a Screw
Dislocation
Empirical Gr owth Model
Mass
Deposition Rate
g: Growth order is generally between 0 and 2.5, most commonly equal to 1;
kG: Overall rate constant,depends on temperature, crystal size, hydrodynamics
and presence of impurities;
AT: Total surface area of the crystals
m: Mass of the crystals; L : Mean crystal size;
α, β : volume and area shape factors; ρ : Crystal densityOverall Linear
Growth Rate
“Designer”
ParticlesParticle Engineering
Bioavailability (solubility)
Chemical and physical stability Physicochemical
Chemical purity
Crystal Habit
Crystal Structure
(Polymorphism/
hydrate/imperfe-
ction)
Thermodynamic
propertiesPhysicotechnical
Mechanical properties
(compressibility)
packing & fl owability
Particulate Properties
Crystal size, shape &
surface
Seeding T echnolog y
Objectives:
Ø Design the crystallization process
to achieve a certain fi nal product
size using seeds
Ø By seeding the preferable
polymorph form, obtain desired
crystal morphology and polymorph
or pseudo-polymorph
Approach
MultiMax
reactor
system
4x50 ml scale
Temperature
Stirring rate
Dosing rate
PXRD
Polymorphic
formLasentec
FBRM In-situ
particle sizingBET
Particle
surface area
Model
Population
balance
equation
Crystal
growth
Nucleation
Super-
saturation
balance
Solubility
Seed properties:
size, shape,
mass, surface
areaNucleation and
crystal growth
kinetic parameters
Population Balance
Model
Simulated fi nal
crystal size
distribution & yieldMeasured fi nal
crystal size
distribution
VerificationOptimization
& design
What do w e do?
Ø Crystallization process development and
optimization
Ø Nonphotochemical laser-induced nucleation
of small molecules and proteins
Ø Template-directed nucleation and growth of
molecular crystals
Ø Electrodynamic levitation of single solution
droplet to study the activity of supersaturated
small molecule and protein solutions