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Chapter 10: Q25E (page 467)

Formulate an argument explaining why the even wave functions in Fig 10.1 should be lower in energy than their odd partners.

Short Answer

Expert verified

The wave function that has more anti-nodes is at a higher energy.

Step by step solution

01

Functions

In the two wells, for each pair of the molecular states, the even function has one less anti-node then their odd partners. When n=1the odd function has two anti-nodes and the even function has one distorted anti-node.

02

Step 2:Relation between energy and wave number

As energy of the particle is proportional to the wave number of its wave function.

Hence, The odd wave function has higher energy and the even function has lower energy or longer wavelength.

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Most popular questions from this chapter

The bonding of silicon in molecules and solids is qualitatively the same as that of carbon. Silicon atomic states become molecular states analogous to those in Figure 10.14. and in a solid, these effectively form the valence and conduction bands. Which of silicon's atomic states are the relevant ones, and which molecular state corresponds to which band?

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