Chapter 5
The Intermediate Coupling Model
Notation
Spectroscopic nomenclature
Spectroscopic notation
Application to 1s2p and
1s3d
Singlet-triplet Grotrian diagram
Extended nomenclature
Two-Particle Wave Functions
Separation of uncoupled Schrödinger Equations
Symmetric and antisymmetric products
Perturbed spin/space wavefunctions
The exclusion principle
Direct and exchange electron-electron
Terms ruled out by exclusion
Carbon example
Slater energies
Fk and Gk
expansions
Spin-orbit coupling
Off-diagonal matrix
Term splitting
Electron-electron and spin-orbit perturbations
Splitting
Intermediate coupling
sp case
Application
sp and p5s IC diagrams
Limiting cases
nsnp limits
Generalized Landé rule
Radial and angular integrals
Hydrogenic calculation of
G1(2s,2p)
G1(2s,2p)
(continued)
(continued)
Relate to measured splittings
Isoelectronic plot
Semiempirical parametrization
One-to-one reduction
Mixing angles as a function of Z
Log-log plot
Sm sequence
Homologous representation
Example 2: p2 configuration
Example 2: p2
Diagonalized
Splitting
p2 and p4 IC
diagrams
The Pb sequence
Three electron systems
Example 3: p3 matrix diagonalization
Inversion of coefficients from known roots
LS to jj
Application
Matrices
Slater determinant
Antisymmetrization: the Slater determinant
Paper size needed to specify wave functions
Paper mass with radially equivalent electrons
CHAPTER 1
CHAPTER 2
CHAPTER 3
CHAPTER 4
CHAPTER 6
CHAPTER 7
CHAPTER 8
CHAPTER 9
Homepage
Semiempirical mapping of Slater quantities
Forbidden transitions
Sm construction
Gyromagnetic ratios
Mixing Angle Formulations of M1 Line Strengths and E1 Branching Fractions
M1 line strengths
Shortley-Pasternack formula
Applications
Mixed transitions
p2 case
sp case
Pb sequence mixing angles
Eigenvectors
Application