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Page 163
... integral of the form I 1 - J f ( e ) de e ( e - μ ) / KT + 1 where f ( e ) is some function of € ( such that the integral converges ) in ( 55.6 ) ƒ ( € ) = € 3 / 2 . Let us transform this integral , making the substitution --μ = kTz ...
... integral of the form I 1 - J f ( e ) de e ( e - μ ) / KT + 1 where f ( e ) is some function of € ( such that the integral converges ) in ( 55.6 ) ƒ ( € ) = € 3 / 2 . Let us transform this integral , making the substitution --μ = kTz ...
Page 227
... integral one can neglect the quantity e - U / T com- pared with unity . This integral is then equal to 26 , where 16 b = πνο . If one regards ro as the " radius " of an atom , then b is four times its " volume " . ( For polyatomic gases ...
... integral one can neglect the quantity e - U / T com- pared with unity . This integral is then equal to 26 , where 16 b = πνο . If one regards ro as the " radius " of an atom , then b is four times its " volume " . ( For polyatomic gases ...
Page 396
... integral vanishes . The integral over the infinite semi - circle vanishes by itself . We avoid the point wo by means of an infinitesimal semi - circle ( letting its radius Ρ tend to zero ) . This is passed in a clockwise direction and ...
... integral vanishes . The integral over the infinite semi - circle vanishes by itself . We avoid the point wo by means of an infinitesimal semi - circle ( letting its radius Ρ tend to zero ) . This is passed in a clockwise direction and ...
Contents
THE BASIC PRINCIPLES OF STATISTICAL PHYSICS 1 Statistical distribution | 1 |
Statistical independence | 8 |
Liouvilles theorem | 9 |
Copyright | |
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adiabatic process angular momentum assume atoms Boltzmann Bose Bose gas Bravais lattice calculate chemical potential closed system co-ordinates coefficient components consider const constant corresponding critical point crystal degrees of freedom denote density derivative determined distribution function energy levels entropy equal equation equilibrium condition equilibrium curve expansion expression Fermi Fermi gas fluctuations formula free energy frequency gases Gibbs distribution given Hence identical integral interaction kinetic energy kT log lattice liquid macroscopic body mass matrix maximum mean value molecules momenta motion number of particles obtain P₁ partition function perfect gas phase space phonons pressure Quantum Mechanics quasi-particles radiation relation result rotational solid solution solvent specific heat spectrum spin substance Substituting subsystem symmetry T₁ thermodynamic potential thermodynamic quantities total number transition V₁ vanish vapour variables vector velocity vibrations volume ӘР эт