Lagrangian and hamiltonian formulation with fractional derivatives
العناوين الأخرى
المشتقة الكسرية و معادلات لاجرانج و هاميلتون
مقدم أطروحة جامعية
مشرف أطروحة جامعية
أعضاء اللجنة
al-Rusan, Akram A.
al-Umari, Husayn Yusuf
Masaifah, Yaqub
الجامعة
جامعة مؤتة
الكلية
كلية العلوم
القسم الأكاديمي
قسم الفيزياء
دولة الجامعة
الأردن
الدرجة العلمية
ماجستير
تاريخ الدرجة العلمية
2003
الملخص الإنجليزي
The present work is divided in two parts: the First part is to study the effect of per fluorination on keto-enol tautomer's of 2-butanone and enol counterparts, and also the effect of inserting one and two fluorine atoms at different positions on the 2-butanone and enol counterparts.
The second Part is to study the effect of other substituents such as CF3, N02, CN, NC, CH3, NH2, O" at (a-position) on the 2-butanone and enol counterparts.
MINDO- Forces method was used to calculate heats of formation, electron densities and charge distributions with complete optimization of geometry of all compounds.
MNDO method was used to calculate the entropies of all compounds.
The substituents affect the geometrical parameters (bond lengths and angles) especially at the position where the substituent is attached.
The stabilizing effects of substituents on 2-butanone and enol counterparts were determine by thermodynamic calculations (Gibbs free energy) and isoseismic reactions.
First part: The calculated heats of formation (AHF) of 2-butanone I and 2-buten-2-ol 2 are -58.151 kcal / mol and -58.529 kcal / mol, respectively, i.e.
2-butanone i is less stable than its enol counterpart by 0.378 kcal / mol.
While the calculated heat of formation (AHF) of 1-buten-2-ol 3 is -53.677 kcal / mol i.e.
2-butanone 1 is more stable than its enol counterpart by 4.474 kcal / mol.
This is supported by calculation of Gibbs free energy (AG) between ketone 1 and enol 2 which was found to be -0.779 kcal/mol i.e.
reaction is spontaneous which means enol 2 is slightly stable than Ketone This is in agreement with published experimental results.
In the case of per fluorination of keto-enol system, per fluorination destabilized ketone greater than enol, this is supported by isoseismic reaction and Gibbs free energy Value.
For stepwise fluorination of keto-enol system, it was found that as the number of fluorine atoms increases the stability of the enol form increases relative to the keto form.
Second part: The effect of substituents such as N02, CF3, CN, NC, NH2, CH3, O" have been studied on 2-butanone.
Two enol counterparts are formed.
The first enol (la) has the substituent attached to the double bond and the second enol (lb) has the substituent attached to carbon adjacent to the double bond
التخصصات الرئيسية
عدد الصفحات
53
قائمة المحتويات
Table of contents.
Abstract.
Chapter one : Introduction.
Chapter two : Introduction to fractional calculus.
Chapter three : Lagrangian and hamiltonian mechanics with fractional derivatives.
Chapter four : Non-conservative lagrangian mechanics.
Chapter five : Conclusion.
References.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
al-Halhuli, Tariq Sulayman M.. (2003). Lagrangian and hamiltonian formulation with fractional derivatives. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-303558
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
al-Halhuli, Tariq Sulayman M.. Lagrangian and hamiltonian formulation with fractional derivatives. (Master's theses Theses and Dissertations Master). Mutah University. (2003).
https://search.emarefa.net/detail/BIM-303558
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
al-Halhuli, Tariq Sulayman M.. (2003). Lagrangian and hamiltonian formulation with fractional derivatives. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-303558
لغة النص
الإنجليزية
نوع البيانات
رسائل جامعية
رقم السجل
BIM-303558
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
أضخم قاعدة بيانات عربية للاستشهادات المرجعية للمجلات العلمية المحكمة الصادرة في العالم العربي
تقوم هذه الخدمة بالتحقق من التشابه أو الانتحال في الأبحاث والمقالات العلمية والأطروحات الجامعية والكتب والأبحاث باللغة العربية، وتحديد درجة التشابه أو أصالة الأعمال البحثية وحماية ملكيتها الفكرية. تعرف اكثر