☰ Contents · Physics

Conductivity in semiconductors

Lessons 43 · 1 lessons · N. Sh. Turdiyev, K. A. Tursunmetov, A. G. Ganiyev, K. T. Suyarov, J. E. Usarov, A. K. Avliyoqulov. Physics Grade 10, 1st edition. Niso Poligraf Publishing House, Tashkent, 2017
43

Intrinsic and impurity conductivity in semiconductors

Textbook: pp. 157–160
GoalExplain the intrinsic and impurity (n- and p-type) conductivity of semiconductors, the notions of electron and hole, and the dependence on temperature and light.
New words
semiconductor · yarimo‘tkazgichhole · kovakdonor impurity · donor aralashmaacceptor impurity · akseptor aralashma
Explanation

Semiconductors (silicon, germanium, selenium, tellurium) lie between metals and dielectrics in conductivity. Unlike metals, their resistivity falls when they are heated or illuminated; at very low temperature they behave like dielectrics. In a pure silicon crystal each atom is bonded covalently to its neighbours by four valence electrons. On heating some bonds break: an electron becomes free (electron conductivity, n-type) and leaves a positively charged hole; a neighbouring electron can fill the hole and so move it (hole conductivity, p-type). In a pure (undoped) semiconductor the numbers of electrons and holes are equal – intrinsic conductivity, which is small. Impurities raise the conductivity sharply. A five-valent atom (arsenic, phosphorus) is a donor: it gives one extra free electron, the main carriers are electrons – n-type. A three-valent atom (indium, boron, gallium) is an acceptor: one bond remains incomplete, i.e. a hole appears, and the main carriers are holes – p-type. The minority carriers are holes in n-type and electrons in p-type.

Worked examples
In pure silicon at room temperature there is roughly one free electron per 10¹² atoms. If one arsenic atom is added per 10⁸ silicon atoms, each arsenic atom gives one free electron and the number of free electrons grows about 10¹²/10⁸ = 10⁴ times – the resistivity falls sharply (n-type).
Adding indium to silicon, each indium atom creates one hole: holes are the main carriers, p-type. A semiconductor thermistor of 1000 Ω at 20 °C and 200 Ω at 60 °C has its resistance fall 5 times on heating (the opposite of a metal).
Class activity

Only a calculation and a drawing: sketch a flat diagram of a silicon crystal in your notebook, replace one atom with arsenic (donor) and another with indium (acceptor) and mark where a free electron and a hole appear.

Practice
1
Compare how the resistance of a semiconductor and of a metal changes on heating.
2
Silicon doped with arsenic (5 valence electrons): which type and what is the main carrier?
3
With indium (3 valence electrons) what is the type?
4
What is a hole and how does it “move”?