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Table 3.1 Labelling of various n! possibilities. !" 0 1 2 3 4 1s 2s 3s 4s 5s 2p 3p 4p 5p 3d 4d 5d 4f 5f 5g n 1 2 3 4 5 From Principles of Electronic Materials and Devices, Second Edition, S.O. Kasap (© McGraw-Hill, 2002) http://Materials.Usask.Ca Table 3.2 The radial and spherical harmonic parts of the wavefunction in the hydrogen atom. (ao = 0.0529nm) n ! R(r) m Y("%$) 1 2& ! 1 0 1 r ( )3 / 2 2exp( ) ao ao 0 2 0 ( 1 3/2 r r ) (2 ' )exp( ) 2ao 2ao ao 0 0 2 1 ( 1 3/2 r r ) ( )exp( ) 3 ao 2ao 2ao 1 -1 1 2& 1 3 cos" 2 & 1 3 $ sin" ej 2 2& 1 3 $ sin" eā j 2 2& !sin" cos#$ !sin" sin$ Correspond m! = ā1 and From Principles of Electronic Materials and Devices, Second Edition, S.O. Kasap (© McGraw-Hill, 2002) http://Materials.Usask.Ca Table 3.3 The four quantum numbers for the hydrogenic atom. n Principal quantum number n = 1,2,3,... Quantizes the energy of the electron, 2 E = ā(13.58 eV)/n . ! Orbital angular ! = 0, 1, 2,...(nā1) momentum quantum number Quantizes the magnitude of orbital angular momentum, L. L = # [!(! +1)]1/2 m! Magnetic quantum number m! = 0, ±1, ±2, ..., ±! Quantizes the orbital angular momentum component along a magnetic field, Bz Lz = m!# ms Spin magnetic quantum number ms = ±1/2 Quantizes the spin angular momentum component along a magnetic field,Bz. Sz = ms# From Principles of Electronic Materials and Devices, Second Edition, S.O. Kasap (© McGraw-Hill, 2002) http://Materials.Usask.Ca