Analysis of Numeric Glow Curves by using the Method of Isothermal Decay and Calculating of the Trap Parameters

Öz

Within this work, some fundamental models describing the TL glow are revised and resolved numerically. For this purposes, differential equation systems representing the charge carrier traffic are derived for each model. Some executable computer codes in Mathematica 8.0 are written to solve the systems numerically. Some trap parameters are given to the computer code as initial conditions and glow curves are obtained. The isothermal decay method used in the calculation of the thermoluminescence trap parameters are converted into a computer algorithm and is applied for every model. Trap parameters are calculated numerically by using thermoluminescence models and isothermal decay method. The calculated parameters are compared with the initial conditions and one can be seen that they are in a good agreement.

Anahtar Kelimeler

• thermoluminescence; TL trap parameters; TL models; numerical analysis; isothermal decay

Sayısal Işıldama Eğrilerinin İzotermal Bozunum (Isothermal Decay) Yöntemi ile İncelenmesi ve Tuzak Parametrelerinin Hesaplanması

Öz

Bu çalışma kapsamında termolüminesans (TL) ışımayı açıklayan bazı temel modeller yeniden gözden geçirilmiş ve nümerik olarak çözümlenmiştir. Bu amaçla her bir model için yük taşıyıcı trafiğini ifade eden diferansiyel denklem sistemleri türetilmiştir. Bu denklem sistemlerini sayısal olarak çözümleyebilmek için Mathematica 8.0 bilgisayar programı üzerinde koşturulabilen kodlar yazılmıştır. Belirli tuzak parametre değerleri başlangıç koşulu olarak bilgisayar programına verilmiş ve ışıldama eğrileri elde edilmiştir. Termolüminesans tuzak parametrelerinin hesaplanmasında kullanılan izotermal bozunum (ID) yöntemi bir bilgisayar algoritması haline dönüştürülmüş ve her bir modele uygulanmıştır. Termolüminesans modeller ve izotermal bozunum yöntemi kullanılarak tuzak parametreleri nümerik olarak hesaplanmıştır. Hesaplanan parametreler başlangıç koşulları ile karşılaştırılmış ve uyum içerisinde oldukları görülmüştür.

Anahtar Kelimeler

• Termolüminesans; TL tuzak parametreleri; TL modeller; sayısal çözümleme; eş sıcaklık bozunum

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