Journal of Basic & Applied Sciences, 2018, 14, 113-118 113 ISSN: 1814-8085 / E-ISSN: 1927-5129/18 © 2018 Lifescience Global Rydberg Energy Levels and Quantum Defects of some Semiconductor Elements Ejaz Ahmed * and Jehan Akbar Hazara University, Mansehra, Pakistan Abstract: Weakest bound Electron Potential Model Theory has turned out to be a successful theory in explaining many atomic properties, namely, energy levels, transition probabilities and oscillator strengths. The theory has also been used to calculate Rydberg energy levels and quantum defects. In this paper we studied semiconductor elements Boron and Silicon. We calculated energy levels of Rydberg atoms of Boron and Silicon up to n = 50 levels using WBEPMT. We also calculated quantum defects in principle quantum number for various configurations of these elements. Keywords: Weakest bound Electron Potential Model Theory, Rydberg Atoms, Rydberg energy levels, Boron, Silicon. INTRODUCTION Weakest bound Electron Potential Model Theory has turned out to be a successful theory in explaining many atomic properties, namely, energy levels, transition probabilities and oscillator strengths. The theory has also been used to calculate Rydberg energy levels and quantum defects. In the following section we have given a brief introduction of WBEPMT [1-2]. One atom System energy of an atom system can be expressed as; T = T(ionization limit) + E(energy of the weakest bound electron) (WBE) T = T limit + E (1) 1 2 d 2 R dr 2 + 1 r dR dr + E ! V (r ) ! l (l + 1) 2r 2 " # $ % & ' ! R = 0 (2) The potential by Weakest Bound electron as [3] V (r ) = ! " Z r + k ( k + 1) + 2 kl 2r 2 (3) By comparative & substitutive sketch of eq-3 & eq- 2, the new format of radial equation turns out to be; 1 2 d 2 R dr 2 + 1 r dR dr + E ! " Z r ! l (l + 1) 2r 2 # $ % & ' ( ! R = 0 (4) Where ! l = l + K (5) *Address correspondence to this author at the Hazara University, Mansehra, Pakistan; E-mail: blueshiftlife@gmail.com The equation-4 can be simplified as R nl (r ) = A exp ! " Zr " n # $ % & ' ( L n!l !1 2 " l +1 2 " Zr " n # $ % & ' ( (6) E = !R " Z " n # $ % & ' ( 2 (7) where “R” is Rydberg constant ! Z ! n = Z net n " # n (8) Where Z net represents the Net-charge # of Atomic Kernel and its value is one for atoms and δn Represents the quantum defect; T = T limit + E = T limit + Z net n ! " n # $ % & ' ( 2 (9) Where ! n can be represented as; by the reference of Martin’s formula ! n = a i (n " ! o ) 2i i=0 3 # (10) Where ! o represents quantum defect of lowest energy level, and a i are the parameters, these parameters can be obtained by the minimum possible square fitting of equation (9) using minimal experienmental data obtained at first reading of the given spectrum series. [3] Boron in a chemical element is symbolically represented by “B” and has atomic number” 5”. It is completely produced by spallation of Cosmic rays, having low abundance in Solar system including