Physical Chemistry Third Edition

1142 27 Equilibrium Statistical Mechanics. III. Ensembles where we assume that the probability distribution is normalized: ∫ f(p ...

27.5 Thermodynamic Functions in the Classical Canonical Ensemble 1143 this theorem as follows: Leturepresent some variable such ...

1144 27 Equilibrium Statistical Mechanics. III. Ensembles Exercise 27.7 a.Show that the vibrational energy given by Eq. (26.2-8) ...

27.5 Thermodynamic Functions in the Classical Canonical Ensemble 1145 Solution a.From Eq. (27.4-14) zrot,cl 8 π^2 IekBT The mom ...

1146 27 Equilibrium Statistical Mechanics. III. Ensembles Solution kBT hv  (1. 3807 × 10 −^23 JK−^1 )(298.15 k) (6. 6261 × 10 − ...

27.6 The Classical Statistical Mechanics of Dense Gases and Liquids 1147 27.6 The Classical Statistical Mechanics of Dense Gases ...

1148 27 Equilibrium Statistical Mechanics. III. Ensembles wheref(2)(r 1 ,r 2 ) is the two-bodyreduced coordinate distribution fu ...

27.6 The Classical Statistical Mechanics of Dense Gases and Liquids 1149 EXAMPLE27.6 Obtain a formula for the second virial coef ...

1150 27 Equilibrium Statistical Mechanics. III. Ensembles A great deal of research has been carried out on the classical statist ...

27.6 The Classical Statistical Mechanics of Dense Gases and Liquids 1151 in phase space, which has both coordinates and momentum ...

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28 The Structure of Solids, Liquids, and Polymers PRINCIPAL FACTS AND IDEAS Crystalline solids possess a geometrically repeatin ...

1154 28 The Structure of Solids, Liquids, and Polymers 28.1 The Structure of Solids In liquids and solids the atoms, molecules, ...

28.1 The Structure of Solids 1155 a Na^1 Cl^2 Figure 28.1 The Sodium Chloride Unit Cell. Table 28.1 Crystal Systems and Lattices ...

1156 28 The Structure of Solids, Liquids, and Polymers Cubic,P Cubic,I Orthorhombic,P Monoclinic,PMonoclinic,C Triclinic Trigona ...

28.1 The Structure of Solids 1157 thecoordination numberequals 12. There are two ways to accomplish this closest packing, as dep ...

1158 28 The Structure of Solids, Liquids, and Polymers cobalt crystallizes in the hexagonal lattice. All of the inert gases crys ...

28.1 The Structure of Solids 1159 integers. The three integersh,k, andlare calledMiller indicesand are denoted by their values i ...

1160 28 The Structure of Solids, Liquids, and Polymers is a scattering center at each lattice point. Each scattering center diff ...

28.1 The Structure of Solids 1161 The simplest X-ray diffraction experiment is carried out with a finely powdered sample of the ...