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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" e– j
2 2&
!sin" cos#$
!sin" sin$
Correspond
m! = –1 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 = –(13.58 eV)/n .
!
Orbital angular
! = 0, 1, 2,...(n–1)
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