Bloch-Gruneisen Fonksiyonu ile Bazı Katıların Elektriksel Özdirencinin Sıcaklığa Göre Değişiminin Analitik İncelenmesi

Yıl 2013, Cilt: 8 Sayı: 1, 54 - 59, 10.06.2013

Mustafa Karakaya , İskender Askeroğlu

Öz

Özet: Bu çalışmada, binomial açılım teoremi kullanılarak Bloch-Gruneisen fonksiyonunun analitik ifadeleri ile bazı katıların özdirencinin sıcaklığa bağlılığı incelendi. Bu yöntemde, metallerin elektriksel özdirencine elektron-fonon etkileşim katkısı dikkate alındı. Bu sebeple, özdirencin sıcaklığa göre değişmesinin Bloch-Gruneisen fonksiyonları ile analizine yer verildi. Genelleştirilmiş Bloch-Gruneisen fonksiyonu için elde edilen analitik bağıntılar doğrultusunda Mathematica programlama dilinde program oluşturuldu. Kalay metali ve Sn katkılı indiyum oksit bileşiği için farklı sıcaklıklarda özdirenç değerleri hesaplandı. Kullanılan metodun geçerliliği, bu katılara uygulamalarıyla birlikte test edildi.

Anahtar kelimeler: Bloch-Gruneisen teorisi, elektron-fonon etkileşmesi, elektriksel özdirenç.


The Analytical Investigation of Temperature Dependence of Electrical Resistivity Using Bloch-Gruneisen Function for Some Solids

Abstract: In this study, the temperature dependence of resistivity of some solids were investigated with the analytical expressions of Bloch-Gruneisen function using binomial expansion theorem. The contributions of electron-phonon interaction to the electrical resistivity of metals have taken into account in this method. Therefore, the analysis of change in resistivity with temperature was performed with the Bloch-Gruneisen functions. Programs in the system Mathematica were constructed in accordance with the analytical equations obtained for the generalized Bloch-Gruneisen function. Resistivity values at the different temperatures were calculated for tin metal and Sn-doped indium oxide compound. Reliability of the using method is tested by applications to these solids.

Key words: Bloch-Gruneisen theory, electron-phonon interaction, electrical resistivity.

Anahtar Kelimeler

Bloch-Gruneisen teorisi, elektron-fonon etkileşmesi, elektriksel özdirenç

Kaynakça

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• İskender Askeroğlu e-posta: [e-mail]