0198506961.pdf
66 The alkalis 1 11 Fig. 4.3The change-over from the short- to the long-range is not calculated but is drawn to be a reasonable ...
4.3 The central-field approximation 67 Fig. 4.5The total potential in the central-field approximation including the term that is ...
68 The alkalis electron atoms properly we should consider the energy of the whole system rather than focusing attention on only ...
4.4 Numerical solution of the Schr ̈odinger equation 69 Fig. 4.6The potential in the central- field approx ...
70 The alkalis Fig. 4.7Simple modifications of the potential energy that could be used for the numerical solution of the Schr ̈o ...
4.5 The spin–orbit interaction: a quantum mechanical approach 71 cessive iterations, the changes in the potential and wavefuncti ...
72 The alkalis (a) The possible values of the total angular momentum obtained by the addition of the electron’s spin,s=1/2, and ...
4.6 Fine structure in the alkalis 73 |lsjmj〉= ∑ ml,ms C(lsjmj;ml,ms)|lmlsms〉. Each eigenfunction labelled byl,s,jandmjis a linea ...
74 The alkalis rather than 〈 1 /r^3 〉 as in hydrogen (eqn 2.51). This results in fine struc- ture for the alkalis, given by the ...
4.6 Fine structure in the alkalis 75 If each state has the same excitation rate, as in a gas discharge lamp for example, then al ...
76 The alkalis Exercises (4.1)Configuration of the electrons in francium Write down the full electronic configuration of franciu ...
Exercises for Chapter 4 77 (4.9)Spherical symmetry of a full sub-shell The sum ∑l m=−l|Yl,m| (^2) is spherically symmetric. Show ...
78 The alkalis AB C D E F 1 x V(x) psi 0. 02 − 0. 25 1 2 step energy ang.mom. Column A will contain thex-coordinates, the potent ...
Exercises for Chapter 4 79 Make a plot ofP(r),R(r)andV(r)for at least two different values ofnand l. Adjust the value in C3, as ...
The LS-coupling scheme 5 5.1 Fine structure in the LS-coupling scheme 83 5.2 Thejj-coupling scheme 84 5.3 Intermediate coupling: ...
TheLS-coupling scheme 81 Fig. 5.1The residual electrostatic in- teraction causesl 1 andl 2 to precess around their resultantL=l ...
82 TheLS-coupling scheme Fig. 5.2The terms of the 3p4p configu- ration in silicon all lie about 6 eV above the ground state. The ...
5.1 Fine structure in theLS-coupling scheme 83 5.1 Fine structure in theLS-coupling scheme Fine structure arises from the spin–o ...
84 TheLS-coupling scheme Equation 5.4 has the same form as the spin–orbit interaction for the single-electron case but with capi ...
5.2 Thejj-coupling scheme 85 Energy (eV) 1 Fine structure Gross structure Residual electrostatic energy H H He He Na Na Mg Mg Cs ...
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