1. They possess diameters of and a particle number density of roughly. 2. The constant can be further improved if the particle number is restricted. 3. The particle number is a fundamental parameter in thermodynamics which is closed systems. 4. Compare it with the particle number density of the air at the sea level. 5. The chemical potential is like a force which pushes an increase in particle number . 6. For example, we can see that the free boson Hamiltonian described above conserves particle number . 7. The Maxwell relationship for the enthalpy with respect to pressure and particle number would then be: 8. Since the energy and particle numbers are all separately conserved, these operators are mutually commuting. 9. One dimension is " k " and the other dimensions is the particle number . 10. For the same particle number a uniform density gives e " 1.34 } }.