It should be said that this routine was developed after long trial and
error due to lacking understanding of the theory behind. The routine is
needed in order to evaluate the thermodynamic state in a space compartment
evaluated from the value in the adjacent compartment, comp. section *3.3.6*.

Acc. to the proof in appendix 4 the appropriate way to do this by solving
the thermodynamic state by the equation system

In doing so the integration (with finite small space intervals in the
pressure equation) can be avoided and the accuracy of the calculation should
increase compared with the present subroutine. In future this subroutine
*VX_Mu* will replace the presented one for the said purpose.

Nevermind, the present subroutione *VTX_PMu* works. The temperature
value calculated comes back to the preset temperature value with an accuracy
below mK !

If we installed the subroutine *VX_PF*
instead of *VTX_PMu* , the algorithm did not converge because
the cut-off error of calculation and integration and perhaps other errors
led to slightly mismatched starting values which led to the break down
of the subroutine.

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