PPT Slide
We first calculate the partition function (Z1) of one atom of mass M free to move in a cubical box of volume V=L3
Wave functions of possible states:
Energies of possible states:
(nx , ny , nz : positive integers)
after performing the integrals:
We can introduce the so called quantum concentration, which is rouhgly the concentration of one atom in a cube of side equal to the thermal average de Broglie wavelength. ( )
Whenever n<<nQ --> classical regime. An ideal gas is defined as a gas of nonintearcting atoms in the classical regime!
Average internal energy of one particle
Thermal average occupancy of one state:
(for the classical regime, this must be <ə!)