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Home » Chemistry Homework Help » Physical Chemistry » Molecules Collection Energies
Molecules Collection Energies
The main objective of this particular aspect of Physical Chemistry is to analyse the collections of large number of molecules, like those one deals with an ordinary sized, or macroscopic, systems, contain molecules distributed throughout the allowed states. A molecule or an atom or an electron exists in one of the allowed states and has the energy corresponding to that state. Many of the properties of chemical materials can be deduced if the energies of the quantum states and the distribution throughout these states are known. In practice, the deduction of properties of macroscopic samples from such detailed calculations is often impossibly difficult. But the calculation can be carried out for many ideal-gas systems, and the general principles of the procedure can be appreciated.

The energies of molecules can be described in terms of the energy in each degree of freedom. The motions of a molecule of a gas can be thought of in terms of motion in each “degree of freedom”. The expression for the allowed energies for the translational motion of molecule along one coordinate, one of the three translational degrees of freedom, is given. This expression applies to each of the three translational degrees of freedom of a gas molecule.

The rotation of a linear molecule can be described in terms of rotation around the two axes that can be drawn perpendicular to the internuclear axis of the molecule. A linear molecule has 2 rotational degrees of freedom. The motion of a generally shaped molecule cannot, it turns out, be described in rotational contributions for 2 degrees of freedom provide only a general guide to the allowed energies for the 3 rotational degrees of freedom of a generally shaped molecule.

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Covalent Radii Crystal Shapes, Point Groups Diffraction Pattern Assignments Electron Diffraction Ionic Radii Lattice Energies Diffraction Lattices, Unit Cells Neutron Diffraction Waals Radii X-ray Diffraction Bond Moments Electric Capacitor Atoms, Molecules Properties Paramagnetism Electrolytic Dissociation Solution Ionic Strength Solvent Dielectric Effect Electrolysis Solutions Ionic Mobilities Electrolytes In Solutions Solutions Molar Conductance Solutions Specific Conductance Electrochemical Cell EMF Electrodes Ion Selective Electrodes Junction Potentials Cells Electromotive Force Standard Electrode Potentials Collision Theory Gas Viscosity Theory Elementary Reactions Lasers Molecule-Molecule Collisions Electrochemical Cell Photochemical Quenching Surface Decompositions Atomic Molecular Energies Molecular Energies Particle-in-a-box Particle-on-a-line Rotational Energies Schrodinger Wave Equation De Broglie Wave Length Vibrational Energies Waves And Particles Boltzmann Distribution Gas Heat Capacities Metals Heat Capacities Molecules Collection Energies One Dimensional Motion Partition Function Rotational Motions Thermal Energy Three Dimensional Motion Vibrational Motions Aqueous Ion Energies Bond Energies Chemical Systems Energy Enthalpy, Chemical Reactions Chemical System Enthalpy Thermodynamics First Law Heat Capacities Thermodynamics Molecular Thermal Energy Standard Enthalpy Substance Carnot Cycle Absolute Zero Entropies Entropy Thermodynamics Laws Entropy Molecular Basis Third Law Molecular Basis Rotational Energy Thermodynamics Second Law Thermodynamics Third Law Vapourization Entropy Vibrational Entropy Equilibria And Distributions Real Gases Equilibria Free Energy Equilibrium Constant Free Energy And Pressure Free Energy, Temperature Free Energy Function Free Energy Real Gases Free Energy Fugacity Non-ideal Gases Fugacity Thermodynamic Properties Chemical Equilibria Boyle Gas Pressure Continuity Of States Critical Point Gas Mixtures Kinetic Molecular Theory Gases-Properties, Theories Molecular Energies, Speed Molecular Interactions Real Gas PVT Temperature Volume Waals Gases Behaviour Waals Critical Point Molecular Diameters Virial Equation Diffusion Coefficient Diffusion Molecular View Donnan Membrane Equilibria Electrophoresis Macromolecular Dynamics Average Mass Range Solution Viscosity Sedimentation And Velocity Colloids Macromolecules Micelles Adsorption Isotherm Adsorption Of Gases Boiling Point Diagrams Pressure Temperature Relation Distillation Eutectic Formation Immiscible Liquids Phase Equilibria Liquid Surfaces Phase Rule Pressure Phase Diagrams Solid Compound Foundation Surface Tension Vapour Pressure Three Component System Vapour Pressure Composition Atomic States Bohr Atom Electron Spin Angular Momentum Hydrogen Hydrogen Atom Spectra Hydrogen Radical Factor Quantum Atomic Structure Quantum Mechanical Operators Variation Theorem Enzymes Catalyzed Reactions First Order Rate Equations Flash Photolysis Chemical Reactions Mechanism Enzyme Reactions Mechanism Reactions Mechanisms Photochemical Reactions Rate Equation Second Order Rate Equations Temperatures And Rates Unimolecular Gas Reactions Absorption Coefficient Einstein Coefficient Electromagnetic Induction Electronic Spectra Electron Spin Spectroscopy Infrared Adsorption Spectroscopy Microwave Absorption Nuclear Spin States Nuclear Magnetic Resonance Photoelectron Spectroscopy Polyatomic Vibrational Spectra Rotational Vibrational Spectra Conjugated Systems Spectra Transition Moment Character Tables Symmetry Group Theory Molecular Symmetry Types Orbital Symmetries Point Groups Reducible Representation Symmetry Elements, Operations Molecular Properties Symmetry Transformation Matrices Diatomic Molecule Orbitals Electronegativity Hybridization Hydrogen Molecule Ion Ionic Bond Molecular Orbitals Orbitals Pie Electrons Two Electron Bond Virial Theorem Partial Molal Properties Solute Free Energy Ideal Mixtures Solution Thermodynamic Property Liquid Vapour Free Energies Osmotic Pressure Partial Molal Quantities Solvent Free Energy Vapour Pressure Lowering