A Lecture Demonstration of Energy Level Splitting in the Hydrogen Molecule Based on Coupled Electric Resonant Circuits

1979 ◽  
Vol 16 (1) ◽  
pp. 17-25
Author(s):  
S. Middelhoek ◽  
W. S. M. Beke
Keyword(s):  
Hydrogen Atom ◽  
Energy Level ◽  
Differential Equations ◽  
Hydrogen Molecule ◽  
Mutual Inductance ◽  
Electrical Analogue ◽  
Level Splitting ◽  
Lecture Demonstration

A description is given of a lecture demonstration of energy level splitting in the hydrogen molecule. The demonstration is based on the electrical analogue of two coupled resonant circuits. Coupling occurs by mutual inductance. The relevant differential equations describing the hydrogen atom and the tuned circuits are also presented.

scholarly journals Weber’s electrodynamics for the hydrogen atom

2015 ◽  
Vol 5 (01) ◽  
pp. 39 ◽  
Author(s):  
H. Torres-Silva ◽  
J. López-Bonilla ◽  
R. López-Vázquez ◽  
J. Rivera-Rebolledo
Keyword(s):  
Fine Structure ◽  
Hydrogen Atom ◽  
Energy Level ◽  
Mass Change ◽  
Maxwell Theory ◽  
Level Splitting ◽  
Coulomb’S Law ◽  
Maxwell Electrodynamics ◽  
Action At A Distance ◽  
Coulomb's Law

<p>The original Weber action at a distance theory is valid for slowly varying effects, and it in addition to predicting all of the usual electrodynamical results, leads to crucial effects where the Maxwell theory fails. The Weber’s approach is an alternative to <a title="Maxwell's Equations" href="http://en.wikipedia.org/wiki/Maxwell%27s_Equations">Maxwell electrodynamics</a>, where the <a title="Coulomb's Law" href="http://en.wikipedia.org/wiki/Coulomb%27s_Law">Coulomb's law</a> becomes velocity dependent [1-6]. Here we prove that the Weber’s theory gives the fine structure energy level splitting for the hydrogen atom without the assumption of mass change with velocity.</p>

Deciphering the Microstructure and Energy-Level Splitting of Tm3+-Doped Yttrium Aluminum Garnet

2018 ◽  
Vol 58 (2) ◽  
pp. 1058-1066 ◽  
Author(s):  
Meng Ju ◽  
MingMin Zhong ◽  
Cheng Lu ◽  
Yau-yuen Yeung
Keyword(s):  
Energy Level ◽  
Yttrium Aluminum Garnet ◽  
Level Splitting ◽  
Yttrium Aluminum

scholarly journals Relationship between the Behavior of Hydrogen and Hydrogen Bubble Nucleation in Vanadium

Materials ◽  
2020 ◽  
Vol 13 (2) ◽  
pp. 322
Author(s):  
Zhengxiong Su ◽  
Sheng Wang ◽  
Chenyang Lu ◽  
Qing Peng
Keyword(s):  
Hydrogen Atom ◽  
First Principles ◽  
Bound States ◽  
Hydrogen Molecule ◽  
Vacancy Cluster ◽  
Bubble Nucleation ◽  
Hydrogen Bubble ◽  
First Principles Calculations ◽  
Hydrogen Atoms ◽  
Macroscopic Deformation

Hydrogen plays a significant role in the microstructure evolution and macroscopic deformation of materials, causing swelling and surface blistering to reduce service life. In the present work, the atomistic mechanisms of hydrogen bubble nucleation in vanadium were studied by first-principles calculations. The interstitial hydrogen atoms cannot form significant bound states with other hydrogen atoms in bulk vanadium, which explains the absence of hydrogen self-clustering from the experiments. To find the possible origin of hydrogen bubble in vanadium, we explored the minimum sizes of a vacancy cluster in vanadium for the formation of hydrogen molecule. We show that a freestanding hydrogen molecule can form and remain relatively stable in the center of a 54-hydrogen atom saturated 27-vacancy cluster.

Energy level splitting in the study of H2Ag(110) surface selective adsorption

1985 ◽  
Vol 151 (2-3) ◽  
pp. L145-L152 ◽  
Author(s):  
M. Chiesa ◽  
L. Mattera ◽  
R. Musenich ◽  
C. Salvo
Keyword(s):  
Energy Level ◽  
Selective Adsorption ◽  
Level Splitting

scholarly journals DISPERSION INTERACTION OF ATOMS WITH SINGLE-WALLED CARBON NANOTUBES DESCRIBED BY THE DIRAC MODEL

2011 ◽  
Vol 03 ◽  
pp. 555-563 ◽  
Author(s):  
YU. V. CHURKIN ◽  
A. B. FEDORTSOV ◽  
G. L. KLIMCHITSKAYA ◽  
V. A. YUROVA
Keyword(s):  
Carbon Nanotubes ◽  
Hydrogen Atom ◽  
Interaction Energy ◽  
Hydrogen Molecule ◽  
Single Walled Carbon Nanotubes ◽  
Hydrogen Atoms ◽  
Single Walled Carbon ◽  
Atoms And Molecules ◽  
Proximity Force Approximation ◽  
Walled Carbon Nanotubes

We calculate the interaction energy and force between atoms and molecules and single-walled carbon nanotubes described by the Dirac model of graphene. For this purpose the Lifshitz-type formulas adapted for the case of cylindrical geometry with the help of the proximity force approximation are used. The results obtained are compared with those derived from the hydrodymanic model of graphene. Numerical computations are performed for hydrogen atoms and molecules. It is shown that the Dirac model leads to larger values of the van der Waals force than the hydrodynamic model. For a hydrogen molecule the interaction energy and force computed using both models are larger than for a hydrogen atom.

scholarly journals A re-examination of the adiabatic correction term for the hydrogen molecule

1976 ◽  
Vol 54 (4) ◽  
pp. 651-656 ◽  
Author(s):  
Huw O. Pritchard ◽  
Lutosław Wolniewicz
Keyword(s):  
Energy Level ◽  
Hydrogen Molecule ◽  
Vibrational Energy ◽  
Correction Term ◽  
Internuclear Separation ◽  
Vibrational Energy Level ◽  
The Difference ◽  
The One

The adiabatic coupling correction term [Formula: see text] has been evaluated by two methods, the one used by Kołos and Wolniewicz in 1964 and the one suggested by Kari, Chan, Hunter, and Pritchard in 1973. The difference between the two procedures for H2 amounts to 0.04 cm−1 and is almost independent of internuclear separation in the range R = 1.0–1.8 a.u. Thus, the method of computing the ΔR-term does not affect the vibrational energy level spacings.

The hydrogen atom in the hydrogen molecule

2009 ◽  
Vol 28 (S19) ◽  
pp. 333-348 ◽  
Author(s):  
William H. Adams ◽  
Meredith M. Clayton
Keyword(s):  
Hydrogen Atom ◽  
Hydrogen Molecule
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