Determination of electronic energy levels for the heteromolecular ions HeH2+, LiH3+, and BeH4+ from the Hamilton–Jacobi equation

2006 ◽  
Vol 106 (13) ◽  
pp. 2587-2596 ◽  
Author(s):  
J. A. Campos ◽  
D. L. Nascimento ◽  
D. T. Cavalcante ◽  
A. L. A. Fonseca ◽  
A. O. C. Nunes

This paper studies a quantum well heterostructure made up by a zinc oxide (ZnO) thin layer (well) sandwiched between two Zn1-xMgxO layers acting as potential barriers. Setting the width of the well to a = 10 nm, the allowed quantum states in the conduction band (CB) and the wave function profiles are examined for two values of magnesium concentration : x = 0.1 and x = 0.2. The calculated wavelengths corresponding to intra-band transitions in the conduction band are in the infrared domain of the electromagnetic spectrum. These wavelengths depend on x, allowing to control the optoelectronic properties of the quantum well by adjusting the concentration x during the growth process.


2014 ◽  
Vol 26 (32) ◽  
pp. 5639-5645 ◽  
Author(s):  
Satria Zulkarnaen Bisri ◽  
Elena Degoli ◽  
Nicola Spallanzani ◽  
Gopi Krishnan ◽  
Bart Jan Kooi ◽  
...  

The system of bands in the visible region of the emission spectrum of magnesium hydride is now well known. The bands with heads at λλ 5622, 5211, 4845 were first measured by Prof. A. Fowler, who arranged many of the strongest lines in empirical series for identification with absorption lines in the spectra of sun-spots. Later, Heurlinger rearranged these series in the now familiar form of P, Q and R branches, and considered them, with the OH group, as typical of doublet systems in his classification of the fine structure of bands. More recently, W. W. Watson and P. Rudnick have remeasured these bands, using the second order of a 21-foot concave grating, and have carried out a further investigation of the fine structure in the light of the present theory of band spectra. Their detection of an isotope effect of the right order of magnitude, considered with the general structure of the system, and the experimental work on the production of the spectrum, seems conclusive in assigning these bands to the diatomic molecule MgH. The ultra-violet spectrum of magnesium hydride is not so well known. The band at λ 2430 and the series of double lines in the region λ 2940 to λ 3100, which were recorded by Prof. Fowler in 1909 as accompanying the group of bands in the visible region, appear to have undergone no further investigation. In view of the important part played by hydride band spectra in the correlation of molecular and atomic electronic energy levels, it was thought that a study of these features might prove of interest in yielding further information on the energy states of the MgH molecule. The present paper deals with observations on the band at λ 2430; details of an investigation of the other features of the ultra-violet spectrum will be given in a later communication.


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