States of Matter
2 States of Matter Chapter Objectives
At the conclusion of this chapter the student should be able to:
Understand the nature of intra- and intermolecular forces involved in stabilizing molecular and physical structures.
Understand the differences in these forces and their relevance to different types of molecules.
Discuss supercritical states illustrating the utility of supercritical fluids for crystallization and microparticulate formulations.
Appreciate the differences in the strengths of the intermolecular forces responsible for stability in different states of matter.
Perform calculations involving:
Ideal gas law
Molecular weights
Vapor pressure
Boiling points
Kinetic molecular theory
Van der Waals real gases
Clausius–Clapeyron equation
Heats of fusion and melting points
Phase rule equations
Understand the properties of different states of matter.
Describe the pharmaceutical relevance of different states of matter to drug delivery systems using specific examples.
Describe solid state, crystallinity, solvates, and polymorphism.
Discuss techniques utilized to characterize solids.
Recognize the relationship between techniques like differential scanning calorimetry, thermogravimetric, Karl Fisher, and sorption analyses in determining polymorphic versus solvate detection.
Understand phase equilibria and phase transitions between the three main states of matter.
Understand the phase rule and its application to different systems containing multiple components.
Binding Forces Between Molecules
Intermolecular forces must exist for molecules to aggregate in gases, liquids, and solids.
Understanding intermolecular forces is important for studying pharmaceutical systems.
Intermolecular bonding is governed by electron orbital interactions similar to intramolecular (covalent) bonds, but does not establish covalency.
Cohesion (attraction of like molecules) and adhesion (attraction of unlike molecules) are manifestations of intermolecular forces.
Repulsion occurs when molecules come too close, causing a reaction to force them apart.
For stable molecular interaction:
Attractive and repulsive forces must be balanced in an energetically favored arrangement.
Potential energy is at a minimum at the equilibrium distance of $(3-4) imes 10^{-8} ext{ cm} (3–4 ext{ Å})$.
Movement away or towards each other changes interaction stability.
Understanding these forces is crucial for various pharmaceutical applications such as:
Interfacial phenomena
Flocculation in suspensions
Emulsion stabilization
Powder compaction in capsules
Drug delivery stability
Tableting processes
Repulsive and Attractive Forces
Interaction between molecules involves both repulsive and attractive forces.
As two molecules approach:
Opposite charges and binding forces draw them closer.
The outer charge clouds repel each other when in contact.
Equilibrium distance ensures stability—attractiveness counterbalances repulsive forces.
Van Der Waals Forces
Van der Waals interactions are weak forces involving the dispersion of charge within a molecule, creating dipoles.
Types of Van der Waals forces:
Keesom Forces: Interaction between permanent dipoles (e.g., peptides).
Debye Forces: Induction-based dipole interactions.
London Forces: Also known as induced dipole-induced dipole interactions; crucial for nonpolar interactions (e.g., hydrocarbons).
Van der Waals forces account for:
Condensation of gases.
Solubility of drugs.
Formation of metal complexes.
Chemical reactions.
Potential energy varies with distance as:
Attractive $( ext{U}_a ext{ varies inversely with } r^6)$.
Repulsive forces rise rapidly with proximity.
Orbital Overlap and Aromatic Interactions
Dipole-Dipole Forces: Important interactions between pi-electron orbitals in systems (e.g., aromatic interactions).
Orientation of aromatic molecules can stabilize interactions.
Ion-Dipole and Ion-Induced Dipole Forces
These attractions are key for solubility of ionic substances in solvents (e.g., water).
Ion-induced dipoles increase interactions and affect stability in pharmaceutical formulations.
Hydrogen Bonds
A specific strong interaction between hydrogen and electronegative atoms (e.g., O, N, or F).
Hydrogen bonds account for many unique properties of substances like water, including high boiling points and low vapor pressures.
Bond energy: Generally weaker than covalent bonds, quantified at approximately $2-8 ext{ kcal/mole}$.
States of Matter
Main states include:
Gases: High kinetic energy and random motion, exert pressure through collisions.
Liquids: Defined volume, incompressible, atoms can vibrate around fixed positions.
Solids: Fixed structure, oscillation around lattice points.
Sublimation: Transition from solid to gas without passing liquid state.
Supercritical Fluids
Formed under specific pressure and temperature conditions that exceed the critical point of substances.
Possess properties between gases and liquids, useful in applications like extraction and crystallization.
Phase Equilibria and Phase Rule
Equilibrium phases require knowledge of variables for complete definition (e.g., pressure, temperature).
Phase rule: $F = C - P + 2$, where:
F: degrees of freedom
C: number of components
P: phases present
Three-Component Systems
Phase behaviors are complex and often illustrated using triangular diagrams, allowing for determination of component ratios at various temperatures and pressures.
Example: Triangular phase diagrams illustrate multiple phases in solutions, such as aqueous mixtures of alcohol and phenol, or two or three pairs of partially miscible liquids.
Thermal Analysis Techniques
Key techniques include DSC (Differential Scanning Calorimetry), TGA (Thermogravimetric Analysis), and DTA (Differential Thermal Analysis) for understanding phase transitions under temperature changes.
Helps in determining melting points, solubility, and stability of pharmaceutical materials.
Conclusion
The chapter covered a comprehensive examination of molecular interactions, phases of matter, and their significance to pharmaceutical applications, laying a foundational understanding for effective drug formulation and application.