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Chapter 8: Q49E (page 342)

Determine the electronic configuration for phosphorus, germanium and cesium.

Short Answer

Expert verified

Phosphorus (15)1s22s22p63s23p3 , Germanium (32),1s22s22p63s23p63d104s24p2

Cesium (55) .1s22s22p63s23p63d104s24p64d105s25p66s1

Step by step solution

01

Given data

The given data is phosphorus, germanium and cesium element.

02

Concept of Electronic configuration

Electronic configuration, also called electronic structure, the arrangement of electrons in energy levels around an atomic nucleus.

03

Determine the electronic configuration 

Electronic Configuration of the elements is shown below.

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Most popular questions from this chapter

Assume that the spin-orbit interaction is not overwhelmed by an external magnetic field what isthe minimum angle the total angular momentum vector may make with the z -axis in a3state of hydrogen?

(a) Show that, taking into account the possible z-components of J, there are a total of 12 L S coupled states corresponding to 1 s 2 p in Table 8.3.

(b) Show that this is the same number of states available to two electrons occupying 1 s and 2 p if LS coupling were ignored.

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?

Whether a neutral whole atom behaves as bosons or a fermion is independent of Z, instead depending entirely on the number of the neutrons in its nucleus. Why? What is it about this number that determines whether the atom is a boson or a fermion?

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 蠄n(x1)鈫�n2(x2)鈫�鈭�蠄nn(x1)鈫�蠄n(x2)鈫�

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(蠄n(x1)蠄n'(x2)鈭�蠄n'(x1)蠄n(x2))(鈫�鈫�+鈫�鈫�)

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.
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