# Chapter 8:Many Electron Atoms¶

## Example 8.1 Page 248¶

In :
#initiation of variable
hc=1240.0*10**-9;Rinfi=1.097*10**7;Z=11;  #for sodium atom;and other constants in MeV

#calculation
delE=3*hc*Rinfi*(Z-1)**2/4.0              #change in energy

#result
print"The energy of the Ka x-ray of the sodium atom in KeV.is",round(delE/10**3,3);

The energy of the Ka x-ray of the sodium atom in KeV.is 1.02


## Example 8.2 Page 249¶

In :
#initiation of variable
EKa=21.990;EKb=25.145;EK=25.514                                      #all the values are in KeV

#calcualtion
ELo=EKb-EKa;

#result
print"The energy of La of X-ray in KeV.is",round(ELo,3);             #Energy of La X-ray

#partb
EL=-EK+EKa;

#result
print"Hence the binding energy of the L electon in KeV.is",round(EL,3); # for electron L electron

The enrgy of La of X-ray in KeV.is 3.155
Hence the binding energy of the L electon in KeV.is -3.524


## Example 8.3 Page 250¶

In :
#initiation of variable
l=1.0;

#calculation
Lmax=l+l;Lmin=l-l;
s=1.0/2; Smax=s+s;Smin=s-s;

#result
print"Value of L ranges from",Lmin," to",Lmax," i.e",Lmin,1,Lmax;
print"Values of S are maxi,min",Smax,Smin;

Value of L ranges from 0.0  to 2.0  i.e 0.0 1 2.0
Values of S are maxi,min 1.0 0.0


## Example 8.4 Page 250¶

In :
#initiation of variable
l=1.0;

#calculation
Lmax=l+l;Lmin=l-l;
s=1.0/2; Smax=s+s;Smin=s-s;

#result
print"Considering any two electrons,Value of L2e ranges from",Lmin," to",Lmax," i.e",Lmin,1,Lmax;
print"Adding the angular momentum of the third electron to L2emax gives the maximum  whole angular momentum as 2+1=3; and subtracting it from L2e=1 gives 0"
print"Values of S are maxi,min",Smax,Smin;
print"Adding and subtracting the spin of third to S2e=1 and S2e=0 respectively gives the spins 3/2 and 1/2 for the 3 electron system.";

Considering any two electrons,Value of L2e ranges from 0.0  to 2.0  i.e 0.0 1 2.0
Adding the angular momentum of the third electron to L2emax gives the maximum  whole angular momentum as 2+1=3; and subtracting it from L2e=1 gives 0
Values of S are maxi,min 1.0 0.0
Adding and subtracting the spin of third to S2e=1 and S2e=0 respectively gives the spins 3/2 and 1/2 for the 3 electron system.