An isolated atom of germanium has 32 electrons, arranged in subshells according to this scheme:1s22s22p63s23p63d104s24p2 This element has the same crystal structure as silicon and, like silicon, is a semiconductor. Which of these electrons form the valence band of crystalline germanium?

Short Answer

Expert verified

The electrons from subshells 4s and 4p will form the valence band isolated atom of germanium.

Step by step solution

01

The given data

An isolated atom of germanium has 32 electrons arranged in subshells: 1s22s22p63s23p63d104s24p2

02

Semiconductors

Materials whole resistivity values lie between that of conductors and insulators are called semiconductors. Examples are silicon, germanium, etc. At room temperatures the number of free charge carriers is very less and hence they act like insulators. As we increase the temperature, the number of charge carriers that are free to move increase rapidly and hence they start behaving as conductors.

03

Calculation of the electrons that form the valence band

From the concept, we can get that the outermost subshells of an atom that are far from the nucleus of the atom form the valence band of an atomic structure.

Hence, according to the atomic orbital concept, there are 4 electrons in the valence band due to the contribution from subshells and that is the highest filled band.

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Most popular questions from this chapter

(a) Show that the density of states at the Fermi energy is given by

N(EF)=4(31/3)(π2/3)(mn1/3)h2=(4.11×1018m-2eV-1)n1/3

in which nis the number density of conduction electrons.

(b) Calculate N(EF)for copper, which is a monovalent metal with molar mass 63.54g/mol and density 8.96g/cm3.

Verify your calculation with the curve of Fig. 41-6, recalling that EF=7.0eV=for copper.

The Fermi energy of aluminum is 11.6 eV; its density and molar mass are2.70g/cm3and 2.70g/mol, respectively. From these data, determine the number of conduction electrons per atom.

The compound gallium arsenide is a commonly used semiconductor, has an energy gap Egof1.43eV. Its crystal structure is like that of silicon, except that half the silicon atoms are replaced by gallium atoms and half by arsenic atoms. Draw a flattened-out sketch of the gallium arsenide lattice, following the pattern of Fig. 41-10a.What is the net charge of the (a) gallium and (b) arsenic ion core? (c) How many electrons per bond are there? (Hint:Consult the periodic table in Appendix G.)

106m-3What mass of phosphorus is needed to dope 1.0 g of silicon so that the number density of conduction electrons in the silicon is increased by a multiply factor of 106from the in pure silicon?

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