SOLID STATE PHARMACEUTICS . MOLECULAR LEVEL

1. SOLID STATE PHARMACEUTICS
A. MOLECULAR LEVEL
CHAVAN KHUSHAL

2. A. MOLECULAR LEVEL
• CRYSTALLINITY
• CRYSTAL HABIT
• POLYMORPHISM
• AMORPHOUS STATE
• SOLVATES
• HYDRATES
• ANALYTICAL TECHNIQUES FOR CHARACTERISATION:
 DCS
 PXRD
 SEM
 FTIR
• MOLECULAR MODELLING IN SOLID STATE CHARACTERISATION- CASE STUDIES AND REGULATORY
PERSPECTIVE

3. CRYSTALLINITY
• Crystallinity, at the molecular level, refers to the degree of order in the arrangement of
atoms or molecules in a solid material. In a crystalline solid, the atoms or molecules are
arranged in a regular, repeating pattern that extends throughout the material. This ordered
arrangement gives crystalline solids their characteristic properties, such as high strength,
rigidity, and melting points.
• Amorphous solids, on the other hand, lack this long-range order. The atoms or molecules
in an amorphous solid are still arranged in a repeating pattern over short distances, but
this pattern does not extend throughout the material. As a result, amorphous solids are
typically softer, more flexible, and have lower melting points than crystalline solids.
• The degree of crystallinity of a material can be measured using a variety of techniques,
such as X-ray diffraction and differential scanning calorimetry. These techniques can be
used to determine the percentage of the material that is crystalline, as well as the size and
orientation of the crystallites.
• Crystallinity is an important property of many materials, and it can have a significant
impact on their physical and chemical properties. For example, the crystallinity of
polymers affects their strength, stiffness, and transparency. The crystallinity of metals
affects their hardness, ductility, and corrosion resistance. And the crystallinity of drugs
affects their bioavailability and effectiveness.

4. •A variety of techniques can be used to measure the crystallinity of a material.
•Two common techniques are X-ray diffraction and Differential Scanning Calorimetry(DCS).
•X-ray diffraction is a technique that uses X-rays
to scatter off the atoms or molecules in a material.
The pattern of the scattered X-rays can be used to
determine the arrangement of the atoms or
molecules in the material.
•Differential scanning calorimetry(DSC) is a
technique that measures the amount of heat that is absorbed
or released as a material undergoes a phase transition.
The change in heat can be used to determine the enthalpy
of the phase transition, which is related to the crystallinity
of the material.

5. Crystallinity refers to the degree of order in the arrangement of atoms or molecules within a solid material. In a crystalline
solid, atoms are arranged in a repeating, three-dimensional lattice structure. This arrangement gives rise to several unique
properties compared to non-crystalline (amorphous) solids.
Here are some key points about crystallinity:
Definition:
•Crystallinity is a measure of the long-range structural order of a solid material.
•It describes the extent to which atoms, ions, or molecules are arranged in a repeating, periodic pattern.
•This arrangement forms a crystalline lattice, which is the fundamental building block of a crystal.
Properties:
•Crystalline solids have distinct physical properties compared to amorphous solids. These properties include:
• Sharp melting point: Crystalline solids have a well-defined melting point, at which the entire solid transforms into a
liquid.
• High density: The ordered arrangement of atoms in a crystal allows for efficient packing, leading to a higher
density compared to amorphous solids.
• Anisotropic properties: The properties of a crystalline solid may vary depending on the direction due to the
anisotropy of the crystal lattice.
• Mechanical strength: Crystalline solids are generally harder and more rigid than amorphous solids due to the strong
bonds between atoms in the lattice.
• Optical properties: Crystalline solids can exhibit specific optical properties like birefringence and diffraction.

6. Measuring Crystallinity:
The degree of crystallinity can be measured using various techniques, such as:
• X-ray diffraction (XRD): This technique measures the scattering of X-rays by the atoms in the crystal lattice, providing
information about the crystal structure and degree of order.
• Differential scanning calorimetry (DSC): This technique measures the heat flow associated with phase transitions, such as
melting or crystallization.
• Nuclear magnetic resonance (NMR): This technique can differentiate between crystalline and amorphous regions based
on their different molecular environments.
Applications:
Crystallinity plays a crucial role in various materials and their applications, including:
Metals and alloys: The mechanical properties of metals are highly influenced by their crystal structure and grain size.
Polymers: The degree of crystallinity affects the properties of polymers like stiffness, transparency, and chemical resistance.
Pharmaceuticals: Many drugs are formulated as crystalline solids to ensure stability and controlled release.
Electronics: Semiconductor devices rely on the ordered arrangement of atoms in crystalline silicon.

7. CRYSTAL HABIT
Crystals can form in a variety of habits, each with its own unique characteristics. Here are some of the most common crystal habits:
• Acicular: This habit is characterized by long, slender crystals that are needle-like in appearance. Examples of minerals that exhibit acicular habit include tourmaline,
actinolite, and riebeckite.
• Bladed: Bladed crystals are flat and elongated, forming thin sheets or plates. Biotite, muscovite, and gypsum are some minerals that commonly exhibit bladed habit.
• Columnar: Columnar crystals are long and prismatic, with a roughly square or rectangular cross-section. Examples of minerals with columnar habit include apatite,
calcite, and orthoclase.
• Equant: Equant crystals are approximately equal in size in all dimensions. Minerals such as garnet, pyrite, and spinel often exhibit equant habit.
• Fibrous: Fibrous crystals are composed of fine, hair-like fibers that are tightly aggregated. Examples of minerals with fibrous habit include asbestos, tremolite, and
actinolite.
• Granular: Granular crystals are small and equant, forming a tightly packed mass. Minerals such as magnetite, hematite, and quartz often exhibit granular habit.
• Massive: Massive crystals are large and without any distinct shape or form. Examples of minerals with massive habit include chalcedony, opal, and chert.
• Prismatic: Prismatic crystals are long and slender, with a polygonal cross-section. Minerals such as tourmaline, augite, and hornblende often exhibit prismatic habit.
• Tabular: Tabular crystals are flat and plate-like, with a roughly rectangular or hexagonal cross-section. Examples of minerals with tabular habit include mica, topaz, and
barite.
• Twiggy: Twiggy crystals are branching and delicate, resembling small twigs or branches. Minerals such as stibnite, crocidolite, and cassiterite often exhibit twiggy habit.

8. Crystal Habit: The Characteristic Shape of Crystals
In crystallography, the crystal habit refers to the characteristic external shape of an individual crystal or aggregate of
crystals. It describes the overall form and appearance of the crystal, which can vary greatly depending on the mineral
and its growth conditions.
Factors Influencing Crystal Habit:
The crystal habit is primarily determined by two main factors:
• Crystallographic form: This refers to the internal arrangement of atoms in the crystal lattice. The symmetry of the
lattice dictates the possible faces that can develop on the crystal surface.
• Growth conditions: The rate of crystal growth in different directions is influenced by factors such as the surrounding
temperature, pressure, and presence of impurities. These conditions can favor the development of certain faces over
others, leading to the observed habit.
Common Crystal Habits:
There are several common crystal habits, each with a distinct shape and name:
• Equant: Crystals that are roughly equal in all dimensions, such as cubic or octahedral.
• Prismatic: Crystals that are elongated in one direction, resembling prisms.
• Acicular: Crystals that are needle-like, with a high length-to-width ratio.
• Fibrous: Crystals that form long, thin fibers.
• Platy: Crystals that are flat and plate-like.
• Dendritic: Crystals that have a branching, tree-like structure.
• Botryoidal: Crystals that form rounded, grape-like clusters.

9. Significance of Crystal Habit:
Crystal habit is an important diagnostic tool in mineral identification. By observing the shape of a crystal, geologists and
mineralogists can gain valuable information about the mineral species and its origin. Additionally, crystal habit can
influence various physical properties of the material, such as its hardness, cleavage, and optical properties.
Examples:
• Quartz: The most common crystal habit for quartz is prismatic, but it can also be found in other habits such as equant,
acicular, and drusy.
• Calcite: Calcite can exhibit a wide variety of crystal habits, including rhombohedral, scalenohedral, and tabular.
• Garnet: Garnet crystals are typically dodecahedral or icositetrahedral in form.
• Fluorite: Fluorite crystals often have a cubic habit, but octahedral and other forms are also possible.

11. POLYMORPHISM
Polymorphism is a core principle of object-oriented programming (OOP) that allows objects of different classes to respond to the same method call in different ways. This
ability to "take on many forms" is what gives polymorphism its name, derived from the Greek words "poly" (many) and "morph" (form).
Consider the example of a musical instrument. Different types of instruments, such as a guitar, piano, and violin, can all produce sound, but they do so in different ways.
When we send a message to a musical instrument object asking it to make a sound, each type of instrument will respond in its own unique way. This is an example of
polymorphism in action.
• Polymorphism is achieved through two main techniques:
1. Method Overriding: This is when a subclass defines a method with the same name and signature as a method in its superclass, but with a different implementation. When
a message is sent to the superclass method, the actual method that is executed is determined by the runtime type of the object receiving the message.
2. Operator Overloading: This is when an operator, such as +, -, or *, is given a different meaning for different data types. For example, the addition operator (+) can be used
to add two integers, concatenate two strings, or combine two complex numbers.
• Polymorphism has several advantages in object-oriented programming:
1. Flexibility: It allows for more flexible and reusable code, as methods can be written in a generic way that can handle different types of objects.
2. Simplifies Code: It can simplify code by reducing duplication and making it easier to handle different types of objects in a consistent manner.
3. Enhances Maintainability: It can enhance code maintainability by making it easier to modify and extend the behavior of existing classes without affecting other parts of
the code.

12. Polymorphism is a fundamental concept in object-oriented programming (OOP) that allows objects to take on multiple
forms and behave differently depending on the context. It essentially means that the same interface can be used to interact
with objects of different types, providing greater flexibility and code reusability.
Here are some key points about polymorphism:
Definition:
Polymorphism refers to the ability of an object, function, or variable to take on different forms or behaviors depending on
the context.
It enables objects to share a common interface while retaining their individual functionalities.
Types of Polymorphism:
There are two main types of polymorphism:
• Runtime polymorphism: This occurs when the actual type of an object is determined at runtime, allowing the
appropriate behavior to be invoked. This is achieved through techniques like virtual functions and overloading.
• Compile-time polymorphism: This occurs when the type of an object is determined by the compiler at compile time.
This is typically achieved through function overloading and template metaprogramming.

13. Benefits of Polymorphism:
• Increased flexibility: Polymorphism allows code to be written in a more general way, making it adaptable to
different situations and types.
• Improved code reusability: By utilizing common interfaces, code can be reused for different types of objects,
reducing redundancy and development effort.
• Simplified code structure: Polymorphism can help organize code into smaller, more manageable units by
promoting modularity and code separation.
• Enhanced maintainability: Polymorphism can lead to more flexible and maintainable code, making it easier to
modify and adapt to future changes.
Examples of Polymorphism:
• Virtual functions: In C++, virtual functions allow derived classes to override base class methods, providing
different implementations for the same function depending on the object type.
• Overloading: Function overloading allows functions to have the same name but different parameters, enabling
them to handle different types of data.
• Interfaces: Interfaces define contracts for objects, specifying the methods and properties they must implement.
This allows objects of various types to be treated uniformly through the common interface.

14. AMORPHOUS STATE
An amorphous state is a state of matter in which the atoms or molecules are not arranged in a regular or
crystalline pattern. This is in contrast to a crystalline state, in which the atoms or molecules are arranged in a
regular, repeating pattern.
Amorphous solids are often described as being "glassy" because they share many of the same properties as
glass, such as transparency and brittleness. However, amorphous solids can also be opaque and ductile,
depending on their composition.
Examples of amorphous solids include:
• Glass
• Plastics
• Rubber
• Polymers
• Gels
• Amorphous metals
Amorphous solids can be created by a variety of methods, including:
• Rapid cooling of a liquid
• Quenching a vapor
• Mechanical alloying
• Ion implantation

15. The Amorphous State: Beyond the Crystal Lattice
In contrast to the ordered structure of crystals, the amorphous state is defined by the absence of long-range order in the arrangement of its
constituent particles. This means that the atoms or molecules in an amorphous material lack a repeating, three-dimensional lattice
structure, resulting in a disordered and random configuration.
Here are some key points about the amorphous state:
Definition:
Amorphous materials, also known as non-crystalline or glassy materials, lack the long-range order characteristic of crystals.
Their particles, typically atoms or molecules, are arranged in a disordered and random manner.
Properties:
• Amorphous materials have distinct properties compared to their crystalline counterparts, including:
• Isotropic properties: Unlike crystals whose properties vary depending on direction, amorphous materials have isotropic properties,
meaning they are the same in all directions.
• Lower density: Due to the absence of a tightly packed lattice structure, amorphous materials generally have lower density compared to
their crystalline counterparts.
• No sharp melting point: Amorphous materials do not have a well-defined melting point like crystals but instead soften and melt over a
range of temperatures.
• High solubility: Amorphous materials often exhibit higher solubility due to their disordered structure, which allows for easier
interaction with solvents.
• Higher chemical reactivity: The increased surface area and disorder in amorphous materials can lead to higher chemical reactivity
compared to crystals.

16. Examples:
• Glasses: Common examples of amorphous materials include glass, polymers like plastics, rubbers, gels, honey, and
many pharmaceuticals.
• Biological materials: Many biological materials, such as proteins and cell membranes, also exhibit amorphous
characteristics.
Formation and Stability:
Amorphous materials can be formed through rapid cooling or quenching of a melt, preventing the atoms from arranging
themselves into a regular lattice structure.
The amorphous state is often metastable, meaning it is less thermodynamically stable than the corresponding crystalline
state. Therefore, over time, amorphous materials tend to crystallize or devitrify under appropriate conditions.
Applications:
• The unique properties of amorphous materials make them valuable for various applications, including:
• Optical materials: Glasses are used in lenses, windows, and other optical devices due to their transparency and ability to
be shaped.
• Polymers: Polymers are essential materials in various industries due to their versatility, light weight, and ease of
processing.
• Drug delivery: Amorphous drug formulations can improve solubility and bioavailability, leading to more effective drug
delivery systems.
• Electronic materials: Amorphous materials are used in various electronic devices, such as thin-film transistors and solar
cells.

17. SOLVATES
• Solvates are crystalline solids that contain molecules of a solvent within their crystal structure. The
solvent molecules can be water (in which case the solvate is called a hydrate) or any other type of
liquid.
• Solvates are formed when a solute (a substance that is dissolved in a solvent) crystallizes out of
solution. The solvent molecules can become trapped in the crystal lattice, either because they are too
large to escape or because they form bonds with the solute molecules.
Solvates have a number of unique properties, including:
• They can have different melting points and solubilities than the pure solute.
• They can have different physical properties, such as color and hardness.
• They can be more or less stable than the pure solute.
Solvates are important in a variety of applications, including:
• Pharmaceuticals: Solvates can be used to improve the solubility and stability of drugs.
• Materials science: Solvates can be used to create new materials with unique properties.
• Environmental science: Solvates can be used to remove pollutants from water and soil.
Example:
• One common example of a solvate is caffeine monohydrate, which is the form of caffeine that is
found in most coffee and tea products. Caffeine monohydrate contains one molecule of water for
every molecule of caffeine.

18. Solvates: When Solvents Become Part of the Crystal Structure
A solvate is a crystalline solid that incorporates solvent molecules into its crystal lattice. In simpler terms,
it's a solid formed when a solvent gets trapped inside the crystal structure of a solute, becoming part of the
crystal itself. This is different from a simple solution, where the solute and solvent are simply mixed and
not chemically bound.
Here are some key points about solvates:
Formation:
Solvates form when a solution of a solute in a solvent evaporates or cools, and the solvent molecules
become trapped within the growing crystal lattice of the solute.
Specific interactions between the solute and solvent molecules, such as hydrogen bonding, van der Waals
forces, or ionic interactions, facilitate the incorporation of the solvent into the crystal structure.
Types of Solvates:
• Stoichiometric solvates: These solvates have a fixed and specific ratio of solvent molecules to solute
molecules in their crystal lattice.
• Non-stoichiometric solvates: The number of solvent molecules incorporated in these solvates can vary
within a certain range.

19. Properties:
Solvates often exhibit different physical properties compared to the pure solute, including:
• Different melting point: The melting point of a solvate is typically lower than that of the pure solute.
• Different solubility: Solvates may have higher or lower solubility compared to the pure solute, depending on the solvent
involved.
• Different chemical properties: The presence of the solvent molecules can alter the chemical reactivity and stability of the
solvate.
Examples:
• Hydrates: These are solvates where water molecules are incorporated into the crystal structure. Examples include sodium
sulfate decahydrate (Na2SO4·10H2O) and copper sulfate pentahydrate (CuSO4·5H2O).
• Ammoniates: These are solvates where ammonia molecules are incorporated into the crystal structure. An example is
cobalt chloride hexammoniate (CoCl2·6NH3).
• Ethanolates: These are solvates where ethanol molecules are incorporated into the crystal structure. An example is
aluminum chloride hexaethanolate (AlCl3·6C2H5OH).
Significance:
Solvates are important in various fields, including:
• Pharmaceutical industry: Solvates can be used to improve the stability and bioavailability of drugs.
• Chemistry: Solvates can be used to purify compounds and separate mixtures.
• Material science: Solvates can be used to develop new materials with desired properties.

20. HYDRATES
Hydrates are a type of solvate, which is a crystalline solid that contains molecules of a solvent within its crystal structure. In the case of hydrates, the solvent is water molecules.
Hydrates are formed when a solute (a substance that is dissolved in a solvent) crystallizes out of solution and the water molecules become trapped in the crystal lattice.
Hydrates are common in nature, and many minerals are hydrates. For example, gypsum (CaSO4·2H2O) and malachite (Cu2CO3(OH)2) are both hydrates. Hydrates are also important
in industry and medicine. For example, hydrated lime (Ca(OH)2) is used in construction materials, and many drugs are hydrated to improve their solubility and stability.
Formation of Hydrates
Hydrates can be formed by a variety of methods, including:
• Crystallization from solution: This is the most common method for forming hydrates. The solute is dissolved in water, and the solution is then cooled or evaporated until it reaches
the point of saturation. At this point, the solute will begin to crystallize out of solution, and the water molecules will become trapped in the crystal lattice.
• Dehydration of a higher hydrate: This method involves heating a higher hydrate to remove some of the water molecules. For example, copper sulfate pentahydrate (CuSO4·5H2O)
can be dehydrated to form copper sulfate trihydrate (CuSO4·3H2O).
• Reaction of a water-soluble salt with water vapor: This method involves exposing a water-soluble salt to water vapor. The water molecules will react with the salt to form a hydrate.
For example, sodium chloride (NaCl) can be exposed to water vapor to form sodium chloride dihydrate (NaCl·2H2O).
Properties of Hydrates
• Hydrates have a number of unique properties, including:
• Different melting points and solubilities than the pure solute: The melting point of a hydrate is typically lower than the melting point of the pure solute. Hydrates are also typically
more soluble in water than the pure solute.
• Different physical properties, such as color and hardness: The physical properties of a hydrate can also be different from the physical properties of the pure solute. For example,
copper sulfate pentahydrate is blue, while copper sulfate trihydrate is green.
• More or less stable than the pure solute: The stability of a hydrate depends on the strength of the bonds between the water molecules and the solute molecules. Some hydrates are
very stable, while others are easily decomposed.

22. ANALYTICAL TECHNIQUES FOR
CHARACTERISATION:
• DSC (Differential Scanning Calorimetry) is a thermal analysis technique that measures the heat flow associated with
physical and chemical transitions in a material. It can be used to determine a material's melting point, glass transition
temperature, crystallization temperature, and other thermal properties.
• PXRD (Powder X-ray Diffraction) is a structural analysis technique that uses X-rays to determine the crystal structure of a
material. It can be used to identify the phases present in a material, measure the grain size, and determine the crystallinity.
• SEM (Scanning Electron Microscopy) is a microscopy technique that uses a focused beam of electrons to produce high-
resolution images of a material's surface. It can be used to study the morphology of a material, identify defects, and measure
the elemental composition of a material's surface.
• FTIR (Fourier Transform Infrared Spectroscopy) is a spectroscopic technique that measures the absorption of infrared
radiation by a material. It can be used to identify the functional groups present in a material and to study the molecular
structure of a material.
These four techniques are often used in combination to obtain a complete picture of a material's properties. For example, DSC
can be used to determine a material's melting point, while PXRD can be used to identify the crystal structure of the material.
SEM can be used to study the morphology of the material, and FTIR can be used to identify the functional groups present in
the material.

23. FTIR (Fourier Transform Infrared Spectroscopy): Identifying the
functional groups present in a material and studying the molecular structure
of a material
ANALYTICAL TECHNIQUES FOR CHARACTERISATION
Measuring thermal properties of
materials, such as melting point,
glass transition temperature, and
crystallization temperature
Studying the morphology of
materials, identifying defects, and
measuring the elemental composition
of a material's surface
Determining the crystal structure of
materials, identifying the phases
present in a material, and measuring
the grain size and crystallinity
DSC (Differential Scanning
Calorimetry)
SEM (Scanning Electron
Microscopy)
PXRD (Powder X-ray
Diffraction)

24. MOLECULAR MODELLING IN SOLID STATE CHARACTERISATION-
CASE STUDIES AND REGULATORY PERSPECTIVE
Molecular modeling is a powerful tool for understanding and predicting the properties of materials in the solid state. It can be used to calculate the structure, energy, and
properties of molecules and materials, and to simulate their behavior under different conditions. This information can then be used to design new materials with improved
properties, or to understand the behavior of existing materials.
In the field of solid-state characterization, molecular modeling can be used to:
• Characterize the structure of materials: Molecular simulations can be used to calculate the structure of materials at the atomic level. This information can then be used to
identify defects, determine the arrangement of atoms in a crystal lattice, and understand the relationship between a material's structure and its properties.
• Predict the properties of materials: Molecular simulations can be used to calculate the properties of materials, such as their strength, stiffness, thermal conductivity, and
electrical conductivity. This information can then be used to design new materials with improved properties, or to understand the behavior of existing materials.
• Understand the behavior of materials under different conditions: Molecular simulations can be used to simulate the behavior of materials under different conditions, such
as temperature, pressure, and strain. This information can then be used to understand how a material will behave in different applications.
Molecular modeling has been used to study a wide variety of materials in the solid state, including:
• Minerals: Molecular modeling has been used to study the structure and properties of minerals, such as their hardness, toughness, and electrical conductivity.
• Metals: Molecular modeling has been used to study the structure and properties of metals, such as their strength, ductility, and corrosion resistance.
• Ceramics: Molecular modeling has been used to study the structure and properties of ceramics, such as their hardness, brittleness, and thermal conductivity.
• Polymers: Molecular modeling has been used to study the structure and properties of polymers, such as their strength, elasticity, and permeability.
• Composites: Molecular modeling has been used to study the structure and properties of composites, such as their strength, stiffness, and durability.

25. Molecular modeling is also increasingly being used in the regulatory field to assess the safety and efficacy of new
materials. For example, molecular simulations can be used to predict the toxicity of new drugs or the environmental
impact of new chemicals.
Overall, molecular modeling is a powerful tool that can be used to understand and characterize materials in the solid
state. It has the potential to revolutionize the way we design, manufacture, and use materials.
Here are some case studies of how molecular modeling has been used to study materials in the solid state:
• Case study 1: Molecular modeling was used to study the structure and properties of diamond. This study showed that
the hardness of diamond is due to its unique crystal structure.
• Case study 2: Molecular modeling was used to study the structure and properties of silicon dioxide. This study showed
that the glass transition temperature of silicon dioxide is due to the rotation of its molecules.
• Case study 3: Molecular modeling was used to study the structure and properties of polymers. This study showed that
the strength and flexibility of polymers are due to their chain structure.
• Case study 4: Molecular modeling was used to study the structure and properties of composites. This study showed
that the strength and stiffness of composites are due to the interaction between their different components.
These are just a few examples of how molecular modeling has been used to study materials in the solid state. The field of
molecular modeling is constantly evolving, and it is likely to play an even greater role in the future of materials science.

26. REFERENCE
• Deer, W. A., Howie, R. A., & Zussman, J. (1992). An introduction to rock-forming minerals (2nd ed.).
Harlow, England: Longman.
• Hurlbut, C. S., Jr., & Klein, C. (1985). Manual of mineralogy (21st ed.). New York: Wiley.
• Sinkankas, J. (1994). Gemstones of the world. New York: McGraw-Hill.
• Wenk, H.-R., & Pfenninger-Angerer, F. (2009). Minerals: Structure, properties, and applications.
Berlin: Springer-Verlag.

27. Crystallinity:
• Solid State Chemistry and Its Applications by Anthony R. West (2nd Edition, 2014) - https://global.oup.com/ushe/
• Introduction to Solid State Physics by Charles Kittel (8th Edition, 2005) - https://www.amazon.com/Kittels-
Introduction-Solid-Physics-Global/dp/1119454166
• Crystals and Crystal Structures by Ronald L. Peterson and Gordon J. Dienes (2nd Edition, 2008) -
https://onlinelibrary.wiley.com/doi/book/10.1002/9781119961468
Crystal Habit:
• Manual of Mineralogy (Dana's) by Cornelius S. Hurlbut Jr. and Cornelis Klein (22nd Edition, 2015) -
https://www.geokniga.org/bookfiles/geokniga-dana1944manualmineralogy.pdf
• The Principles of Crystallography by C.W. Bunn (Dover Publications, 1966) -
https://www.pilgrimsway.com/book/9780486678399
• Crystal Growth: An Introduction by Hugh O. Conway and William J. Briels (2nd Edition, 2002) -
https://onlinelibrary.wiley.com/doi/book/10.1002/9783527689248
Polymorphism:
• Object-Oriented Programming: A Practical Approach by Robert Lafore (4th Edition, 2018) -
https://www.amazon.com/Object-Oriented-Programming-4th-Robert-Lafore/dp/0672323087
• Head First Design Patterns by Eric Freeman, Elisabeth Robson, Bert Bates, and Kathy Sierra (2nd Edition, 2004) -
https://www.amazon.com/Head-First-Design-Patterns-Object-Oriented-ebook/dp/B08P3X99QP
• Design Patterns: Elements of Reusable Object-Oriented Software by Erich Gamma, Richard Helm, Ralph Johnson,
and John Vlissides (25th Anniversary Edition, 2018) - https://www.amazon.com/Design-Patterns-Object-Oriented-
Professional-Computing/dp/0201634988

28. Amorphous State:
Materials Science and Engineering: An Introduction by William D. Callister Jr. (9th Edition, 2018) -
https://www.amazon.com/Materials-Science-Engineering-William-Callister/dp/1118324579
The Properties of Glassy Polymers and Composites by John M. Hutchinson (2nd Edition, 1995) -
https://onlinelibrary.wiley.com/doi/abs/10.1002/adfm.202306576
Amorphous Materials: Science and Technology by David Turnbull and F. Spaepen (Springer, 1982) -
https://books.google.com/books/about/Science_of_Hard_Materials.html?id=PxpEAQAAIAAJ
Solvates:
Pharmaceutical Crystallography: An Introduction by Suresh Byrn, Michael Pfeiffer, and John E. Stowell
(2nd Edition, 2018) - https://pubs.rsc.org/en/content/articlelanding/2022/ce/d2ce00153e
Crystallization of Organic Compounds by H.A. Benninghoven (Butterworth-Heinemann, 1990) -
https://www.amazon.com/Crystallization-Organic-Compounds-Industrial-Perspective/dp/1119879469
Solvents and Solubilization in Organic Synthesis by Peter G. Sammes and Neil H. Davies (2nd Edition,
2004) -
https://www.researchgate.net/publication/233515589_Environmentally_Benign_Solvents_in_Organic_Syn
thesis_Current_Topics