(a) Interpretation: The Lande g factor of a hypothetical 3 S 0 term is to be stated. Concept introduction: The change in energy ( Δ E ) of the state depends on the strength of the magnetic field ( B ) and the z-component quantum number ( M L ) in the presence of magnetic field. The expression for the change in energy ( Δ E ) is written below. Δ E = μ B ⋅ M L ⋅ B The value of ( M L ) can be positive, negative or zero. Hence, the change in energy ( Δ E ) can be positive, negative or zero. The change in energy ( Δ E ) of the state is equal to the amount of splitting

Question

The table includes macrostates characterized by 4 energy levels (&) that are equally spaced but with different degrees of occupation. a) Calculate the energy of all the macrostates (in joules). See if they all have the same energy and number of particles. b) Calculate the macrostate that is most likely to exist. For this macrostate, show that the population of the levels is consistent with the Boltzmann distribution. macrostate 1 macrostate 2 macrostate 3 ε/k (K) Populations Populations Populations 300 5 3 4 200 7 9 8 100 15 17 16 0 33 31 32 DATO: k = 1,38×10-23 J K-1

Answer 1

Question

Chapter 16, Problem 16.14E

Interpretation Introduction

(a)

Interpretation:

The Lande g factor of a hypothetical 3S0 term is to be stated.

Concept introduction:

The change in energy (ΔE) of the state depends on the strength of the magnetic field (B) and the z-component quantum number (ML) in the presence of magnetic field. The expression for the change in energy (ΔE) is written below.

ΔE=μB⋅ML⋅B

The value of (ML) can be positive, negative or zero. Hence, the change in energy (ΔE) can be positive, negative or zero. The change in energy (ΔE) of the state is equal to the amount of splitting

Interpretation Introduction

(b)

Interpretation:

The reason why need never worry about this unusual value is to be stated.

Concept introduction:

The change in energy (ΔE) of the state depends on the strength of the magnetic field (B) and the z-component quantum number (ML) in the presence of magnetic field. The expression for the change in energy (ΔE) is written below.

ΔE=μB⋅ML⋅B

The value of (ML) can be positive, negative or zero. Hence, the change in energy (ΔE) can be positive, negative or zero. The change in energy (ΔE) of the state is equal to the amount of splitting

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The table includes macrostates characterized by 4 energy levels (&) that are equally spaced but with different degrees of occupation. a) Calculate the energy of all the macrostates (in joules). See if they all have the same energy and number of particles. b) Calculate the macrostate that is most likely to exist. For this macrostate, show that the population of the levels is consistent with the Boltzmann distribution. macrostate 1 macrostate 2 macrostate 3 ε/k (K) Populations Populations Populations 300 5 3 4 200 7 9 8 100 15 17 16 0 33 31 32 DATO: k = 1,38×10-23 J K-1

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