https://doi.org/10.1140/epjd/s10053-022-00484-6
Regular Article – Atomic Physics
Theoretical analysis of relativistic energy corrections, partition function and thermodynamic properties of spherically confined hydrogen atom
1
Department of Physics, Acharya Narendra Dev College, University of Delhi, 110019, New Delhi, India
2
Department of Physics, Shyamlal College, University of Delhi, 110032, New Delhi, India
3
Department of Physics, Kirori Mal College, University of Delhi, 110007, New Delhi, India
4
Department of Physics and Astrophysics, University of Delhi, 110007, New Delhi, India
Received:
11
June
2022
Accepted:
12
August
2022
Published online:
26
August
2022
The relativistic energy corrections for the spherically confined hydrogen with penetrable wall are calculated for various orbitals as a function of pressure and confinement radius. The relativistic corrections at high pressures of the order of 108–109 atm are found to be more than thousand times higher than the corresponding values for the free atom. For calculating the energy eigenvalues, the efficient Numerov method is adopted. The partition function and other thermodynamic properties are also calculated for temperature range 104 K to 1010 K at low (0–10 atm) and high pressures (104–108 atm). We investigate the behaviour of partition function and thermodynamic parameters graphically with pressure and temperature. We discuss the effect of high temperature and reduction of confinement radius on these parameters. The present study will be useful in Industrial applications like development of hydrogen fuel and in various physics branches such as in fusion and astrophysical plasma, condensed matter, statistical mechanics and also in other research areas where we encounter atoms which are subjected to high pressures.
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