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Chapter 10: Q52E (page 469)

Carbon(diamond) and silicon have the same covalent crystal structure, yet diamond is transparent while silicon is opaque to visible light. Argue that this should be the case based only on the difference in band gaps roughly 5 eV for diamond in eV is silicon.

Short Answer

Expert verified

The value shows that the visible light is absorbed by the silicon but not by diamond.

Step by step solution

01

Determine the formulas

Consider the formula for the energy of the electron as:

E=hc位

Here,位 is the wavelength, h is the plank鈥檚 constant, and c is the speed of light.

02

Determine the distance travelled and number of copper ions:

Consider the case of lower range 400 nm as:

E1=1240鈥塭痴鈰�nm400鈥塶尘=3.11鈥塭痴

Solve for the upper value of 750 nm as:

E2=1240鈥塭痴鈰�nm750鈥塶尘=1.66鈥塭痴

The value shows that the visible light is absorbed by the silicon but not by diamond.

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Most popular questions from this chapter

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

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As we see in Figures 10.23, in a one dimensional crystal of finite wells, top of the band states closely resemble infinite well states. In fact, the famous particle in a box energy formula gives a fair value for the energies of the band to which they belong. (a) If for nin that formula you use the number of anitnodes in the whole function, what would you use for the box length L? (b) If, instead, the n in the formula were taken to refer to band n, could you still use the formula? If so, what would you use for L? (c) Explain why the energies in a band do or do not depend on the size of the crystal as a whole.
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