Mathematical expressions of germanium conduction band: Solved using anti-bond orbital model
學年 114
學期 2
出版（發表）日期 2026-07-17
作品名稱 Mathematical expressions of germanium conduction band: Solved using anti-bond orbital model
作品名稱（其他語言）
著者 Chun-Nan Chen; Win-Jet Luo; Prateek Negi; Bivas Panigrahi
單位
出版者
著錄名稱、卷期、頁數 Journal of Applied Physics 140, p. 035703
摘要 The formation of α(=s,x,y,z)-like anti-bond orbitals (ABOs) is explained in detail: from atomic orbitals, 〖sp〗^3 tetragonal hybrid orbitals, 〖sp〗^3 tetragonal antibonding orbitals, and finally α-like ABOs. The mathematical formulas for ABO Hamiltonian matrix are derived in detail and illustrated with diagrams. The ABO model is used to explore the conduction band of germanium (Ge). Therefore, the mathematical expressions for its s-, x-, y-, z-like bands and the ABO composition ratios of each band are obtained. The single-band k-dependent effective mass equation for the conduction band of Ge is presented, and it must be emphasized that the electron effective mass of Ge is related to the electron wave vector (k). Therefore, this k-dependent effective mass equation is well-suited for computer simulations of advanced Ge-based nano-electronic devices under conditions of higher electron energies.
關鍵字 Germanium; k-dependent effective mass; 〖sp〗^3 tetragonal antibonding orbital; Orbital composition ratio; Effective mass equation; Anti-bond orbital model
語言 en
ISSN
期刊性質 國外
收錄於
產學合作
通訊作者
審稿制度 是
國別 USA
公開徵稿
出版型式 ,電子版
相關連結

機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/129784 )

SDGS 優質教育,產業創新與基礎設施