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Chapter 8: Q23CQ (page 339)

Question: Bearing in mind its limiting cases of 1 and 2 mentioned in section 8.8, how would you describe the significance of the Lande g-factor

Short Answer

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Answer

X-rays do not start at hydrogen or helium because all of the electrons are electrons.

Step by step solution

01

Definition of Lande g-factor

The Lande g-factor is defined as

g = 3j(j+1)-l(l+1)+s(s+1)2j(j+1) (1)

where Iis the orbital angular momentum quantum number, sis the spin quantum number, and jis the total angular momentum quantum number.

02

Explanation

We see from equation (1) that the Landefactor includes all of the quantum numbers coming from the angular momentum. With this relationship, thefactor appears in the expression for the magnetic moment, through which the electron interacts with the external magnetic field.

Therefore it combines all of the angular momentum quantum numbers

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Most popular questions from this chapter

The radius of cesium is roughly0.26nm.

(a) From this estimate the effective charge its valence electron orbits

(b) Given the nature of the electron's orbit. is this effective nuclearcharge reasonable?

(c) Compare this effective Zwith that obtained for sodium in Example 8.3. Are the values at odds with the evidence given in Figure8.16that it takes less energy to remove an electron from cesium than from sodium? Explain.

Show that unless l=s, L and S cannot be exactly opposite: that is, show that at its minimum possible value. Forwhich j=l-s. The magnitude of the total angular momentum is strictly greater than the difference L-Sbetween the magnitudes of the orbital and intrinsic angular momentum vectors.

Imagine two indistinguishable particles that share an attraction. All other things being equal, would you expect their multiparticle spatial state to be symmetric, ant symmetric, or neither? Explain.

The Kαline in copper is a very common one to use in X-ray crystallography. To produce it, electrons are accelerated through a potential difference and smashed into a copper target. Section 7.8 gives the energies in a hydrogen like atom asZ2(-13.6eV/n2) . Making the reasonable approximation that ann=1 electron in copper orbits the nucleus and half of its fellow n=1electron, being unaffected by the roughly spherical cloud of other electrons around it. Estimate the minimum accelerating potential needed to make a hole in copper'sKshell.

The total-spin singlet state for two electrons has one spin up and one down, but one of the triplet states does. too. What is the difference?
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