Question: Discuss what is right or wrong about the following statement:

Nobel gases correspond to full shells.

Short Answer

Expert verified

Answer

Any substance reacts with other substances only to get stabilized by having a filled configuration i.e. duplet or octet. The reason for this inertness is the filled valence electronic shells of all the noble gases

Step by step solution

01

Introduction.

The octet rule states that those substances (elements or compounds) are said to be stable if they have filled valence shells. Any substance reacts with other substances only to get stabilized by having a filled configuration i.e. duplet or octet. The reason for this inertness is the filled valence electronic shells of all the noble gases.

02

Electronics configurations for noble gases.

Noble gases belong to group 18 in the modern periodic table. They are known for their least reactive nature, hence named noble gases. Apart from this, they are also known as inert gases and zero group gases.

For example:

Electronic configuration for a few noble gases are:

He:1s2Ne:1s22s22p6Ar:1s22s22p63s23p6

In the above configurations of the noble gases, it can be observed that for Helium with atomic number 2, the duplet is complete making it stable. Neon with atomic number 10 is also having all the shells filled and will not be participating in any bond formations. Similarly, Argon with atomic number 18 and all the higher noble gases also has the shells filled.

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Most popular questions from this chapter

A beam of identical atoms in their ground state is sent through a Stem-Gerlach apparatus and splits into three lines. Identify possible sets {sT,LT}of their total spin and total orbital angular momentum? Ignore possibilities in which sT is 2 or higher.

A lithium atom has three electrons. These occupy individual particle states corresponding to the sets of four quantum numbers given by .

(n,l,ml,mj)=(1,0,0,+12),(1,0,0,-12)and(2,0,0,+12)

Using ψ1,0,0(rj),ψ1,0,0(rj),andψ2,0,0(rj) to represent the individual-particle states when occupied by particlej . Apply the Slater determinant discussed in Exercise 42 to find an expression for an antisymmetric multiparticle state. Your answer should be sums of terms like .

ψ1,0,0(r1),ψ1,0,0(r2),andψ2,0,0(r3)

A Simple Model: The multielectron atom is unsolvable, but simple models go a long way. Section7.8gives energies and orbit radii forone-electron/hydrogenlike atoms. Let us see how useful these are by considering lithium.

(a) Treat one of lithium'sn=1electrons as a single electron in a one-electron atom ofrole="math" localid="1659948261120" Z=3. Find the energy and orbit radius.

(b) The othern=1electron being in the same spatial state. must have the same energy and radius, but we must account for the repulsion between these electrons. Assuming they are roughly one orbit diameter apart, what repulsive energy would they share, and if each claims half this energy. what would be the energies of these two electrons?

(c) Approximately what charge does lithium's lone valence electron orbit, and what radius and energy would it have?

(d) Is in reasonable to dismiss the role of then=1electrons in chemical reactions?

(e) The actual energies of lithium's electrons are about-98eV(twice, of course) and-5.4eV. How good is the model?

(f) Why should the model's prediction for the valence electron's energy differ in the direction it does from the actual value?

The wave functions for the ground and first excited states of a simple harmonic oscillator are Aebx2/2andBxebx2/2. Suppose you have two particles occupying these two states.

(a) If distinguishable, an acceptable wave function would berole="math" localid="1659955524302" Aebx12/2Bx2ebx22/2. Calculate the probability that both particles would be on the positive side of the origin and divide by the total probability for both being found over all values ofx1,x2. (This kind of normalizing-as-we-go will streamline things.)

(b) Suppose now that the particles are indistinguishable. Using the±symbol to reduce your work. calculate the same probability ratio, but assuming that their multiparticle wave function is either symmetric or antisymmetric. Comment on your results.

What is the angle between the spins in a triplet state?

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