The temperature describing
the state of optically thin plasma in the conditions of the local thermodynamic
equilibrium can be defined if one measures the intensity of some line
of radiated by plasma spectral lines l in absolute units on the formula:
Where l
ki and l
lm - waves lengths of chosen spectral
lines. Here it is taken into consideration that the main state for the given
particles of the same sort is the same. Having measured the relative intensities
of 2 lines by using the formula (12) the electronic temperature can be calculated.
Let's state the value of calculation the temperature. Having differentiated we have:
DTe/Te=[kTe/(Ek-El)][D(Jki/Jlm)/(Jki/Jlm)],
(13)
Hence it is seen that the exactness of calculation
Te
is the higher the bigger the difference of energies of upper levels:
Eki- Elm. Values Eki è Elm are set by the placement of levels in the enery scheme of the data atom or ion. It is desirable to choose spectral lines which are in the convinient for measuring area of spectrum and having difference of energies of upper levels:
It is necessary to choose lines with known values of probabilities of spontaneous transitions.
The lines must have no reabsorption and they must not belong to duplets.
To raise the exactness and trustworthiness of temperature calculation
Te, the similar measurings in practice are usually carried out not for 2 but for bigger quantity of lines with different
DE and the working is made graphically on the base of equation:
lg(Jki/Jlm)=lg[Akigkllm/(Almgllki)]-5040(Ek-El)/Te.
(14)
Having entered the designation:
Pki=Akigkhnki/g0 and
Plm=Alm=Almglhnlm/g0, formula (14) can be represented as:
lg(Jki/Jlm)=lg(Pki/Plm)-5040(Ek-El)/Te
, (15)
Where the value
Å
is expressed in electrovolts. The linearness of the received diagram will indicate of the correctness of the condition (4). The tangent of angle of … allows to find out the electronic temperature on the formula:
Te=5040(El-Ek)/[lg(Jki/Jlm)
+ lg(Plm/Pki)] =
= 5040(El-Ek)/[lg(Jki /Jlm)+lg[Almgmlki/(Akigkllm)]].
(16)
By the photoelectric registration of the light stream the value
lg(Jki/Jlm)
is calculated taking into account the spectral sensitivity FEM.
Instead of probability of spontaneous transitions
Aki
the power of oscillatorfikis often entered, which shows the efficiency of real atoms to absorption of energy quanta on regard for classical oscillators.
Using the connection of power of oscillator fik
with the probability of transition fik=(gk/gl)e0mec3Aki/2pe2n2ki , formula (14) by photoelectric registration is written down in a such way:
lg(Vki/Vlm)=lg[fikgil2lmSlm/(fmlgml2
kiSik)] - 5040(Ek-El)/Te,
(17)
ãäå Vki è Vlm, Ski è Slm - voltages at the output of the booster of direct current in the max. of intensity and spectral sensitivities for waves lengths of transitions ki è lm respectively.