(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

Bohr’s model can be used for hydrogen-like ions—ions thathave only one electron, such as He + and Li2+ . (a) Why isthe Bohr model applicable to He + ions but not to neutral Heatoms? (b) The ground-state energies of H, He + , and Li2 + aretabulated as follows: By examining these numbers, propose a relationship betweenthe ground-state energy of hydrogen-like systems and thenuclear charge, Z. (c) Use the relationship you derive in part(b) to predict the ground-state energy of the C5+ ion.

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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