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Raman Frequencies Calculated at Various Pressures in Phase I of Benzene
Tari, Ozlem,Yurtseven, Hamit Korean Chemical Society 2013 대한화학회지 Vol.57 No.2
We calculate in this study the pressure dependence of the frequencies for the Raman modes of A ($A_g$), B ($A_g$, $B_{2g}$) and C ($B_{1g}$, $B_{3g}$) at constant temperatures of 274 and 294K (room temperature) for the solid phase I of benzene. Using the mode Gr$\ddot{u}$neisen parameter of each lattice mode, which correlates the pressure dependence of the crystal volume and the frequency, the Raman frequencies of those modes are computed for phase I of benzene. Our results show that the Raman frequencies of the three lattice modes (A, B and C) increase as the pressure increases, as expected. The temperature effect on the Raman frequencies is not significant, which can be explained by the experimental measurements.
Tari, Abolfazl,Shahmorad, Sedaghat The Korean Society for Computational and Applied M 2012 Journal of applied mathematics & informatics Vol.30 No.3
In this work, we investigate solving two-dimensional nonlinear Volterra integral equations of the first kind (2DNVIEF). Here we convert 2DNVIEF to the two-dimensional linear Volterra integral equations of the first kind (2DLVIEF) and then we solve it by using operational approach of the Tau method. But for solving the 2DLVIEF we convert it to an equivalent equation of the second kind and then by giving some theorems we formulate the operational Tau method with standard base for solving the equation of the second kind. Finally, some numerical examples are given to clarify the efficiency and accuracy of presented method.
Towards an Era of Peace and Common Prosperity in Northeast Asia
( Secre Tary General ),( Shin Bong Kil ) 세종대학교 경제통합연구소 2012 Journal of Economic Integration Vol.27 No.2
First of all, I would like to extend my sincere gratitude to the Center for Economic Integration at Sejong University and the Hanns Seidel Foundation Korea for inviting me to take part in this conference. Also, my special thanks go to Mr. PARK Woo-Hee, the President of Sejong University. I am all the more grateful and honored that today`s conference has been convened to celebrate and promote the mission and vision of the Trilateral Cooperation Secretariat.
Abolfazl Tari,Sedaghat Shahmorad 한국전산응용수학회 2012 Journal of applied mathematics & informatics Vol.30 No.3
In this work, we investigate solving two-dimensional nonlinear Volterra integral equations of the first kind (2DNVIEF). Here we convert 2DNVIEF to the two-dimensional linear Volterra integral equations of the first kind (2DLVIEF) and then we solve it by using operational approach of the Tau method. But for solving the 2DLVIEF we convert it to an equivalent equation of the second kind and then by giving some theorems we formulate the operational Tau method with standard base for solving the equation of the second kind. Finally, some numerical examples are given to clarify the efficiency and accuracy of presented method.