Question:Figure 8.16 shows that in the Z = 3 to 10 filling of the n = 2 shell (lithium to neon), there is an upward trend in elements' first Ionization energies. Why is there a drop as Z goes from 4 to 5, from beryllium to boron?

Short Answer

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Answer

As the subshell 2p1 is not closed, electrons in this shell could be removed with lesser ionization energy compared to beryllium.

Step by step solution

01

Explanation

It is easier with lesser ionization energy to remove the unpaired electron in the subshell2p1 of Boron (B)than the electron in the closed subshellof Beryllium (Be)in the process of ionization energy from to Li(z = 3 to 10).

02

Drop between 4 to 5

Beryllium has an electronic configuration . The subshells are closed. Electrons in the closed shells are very tightly bound and the positive nuclear charge is very large when compared to the negative charge of the inner shielding electrons. So, these electrons cannot be easily detached. So, higher energy is needed to remove these electrons, whereas, Boron has the electronic configuration 1s22s22p1. As the subshell is not closed, electrons in this shell could be removed with laser ionization energy compared to Beryllium.

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Most popular questions from this chapter

Exercise 44 gives an antisymmetric multiparticle state for two particles in a box with opposite spins. Another antisymmetric state with spins opposite and the same quantum numbers is ψn(x1)n2(x2)ψnn(x1)ψn(x2)

Refer to these states as 1 and 11. We have tended to characterize exchange symmetry as to whether the state's sign changes when we swap particle labels. but we could achieve the same result by instead swapping the particles' stares, specifically theandin equation (8-22). In this exercise. we look at swapping only parts of the state-spatial or spin.

(a) What is the exchange symmetric-symmetric (unchanged). antisymmetric (switching sign). or neither-of multiparticle states 1 and Itwith respect to swapping spatial states alone?

(b) Answer the same question. but with respect to swapping spin states/arrows alone.

(c) Show that the algebraic sum of states I and II may be written(ψn(x1)ψn'(x2)ψn'(x1)ψn(x2))(+)

Where the left arrow in any couple represents the spin of particle 1 and the right arrow that of particle?

(d) Answer the same questions as in parts (a) and (b), but for this algebraic sum.

(e) ls the sum of states I and 11 still antisymmetric if we swap the particles' total-spatial plus spin-states?


(f) if the two particles repel each other, would any of the three multiparticle states-l. II. and the sum-be preferred?

Explain.

The general rule for adding angular momenta is given in Exercise 66, when adding angular momenta withj1=2 and j2=32

(a) What are the possible values of the quantum numberjT and the total angular momentum jT.

(b) How many different states are possible and,

(c) What are the (jT,mjT)values for each of these states?

Question: Solving (or attempting to solve!) a 4-electron problem is not twice as hard as solving a 2-electrons problem. Would you guess it to be more or less than twice as hard? Why?

A dipole without angular momentum can simply rotate to align with the field (through it would oscillate unless it could shed energy). One with angular momentum cannot. Why?

Using f2=L2+S2+2L-Sto eliminate L - S. as wellas L=l(l+1)h,S=s(s+1)andj(j+1)h, obtain equation (8- 32 )from the equation that precedes it.

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