Transcription of IONIZATION, SAHA EQUATION
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IONIZATION, SAHA EQUATIONLet the energies of two states,AandB, beEAandEB, and their statistical weightsgAandgB,respectively. In LTE (Local Thermodynamic Equilibrium) the number of particles in the two states,NAandNB, satisfies Boltzman EQUATION :NANB=gAgBexp [ (EA EB)/kT].( )Now, we shall consider two ions, i and i+1 , of the same element. The ionization potential, the energy needed to ionize i from the ground state is , and the statistical weights of theground states of the two ions aregiandgi+1, respectively. The number densities, [ cm 3], of thetwo types of ions and free electrons areni,ni+1, andne, respectively.
As we know, in every cell of a phase space with a volume h3 there are two possible states for an electron, because there are two possible orientations of its spin. h = 6.63×10−27 erg s is the Planck constant. The energy of a free electron with a momentum p with respect to the ground
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