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Including the effects of total angular momentum is essential to determine highly accurate pressure-dependent phenomenological rate coefficients when there are significant changes of rotational constants along the reaction coordinate. In this work, a deterministic (matrix) method has been used to solve a completely E,J-resolved two-dimensional master equation (2DME) for reaction systems that have many intermediates and many products. The practicality of the method is due to the need so obtain just a few eigenvalues and corresponding eigenvectors. Three examples are provided in order to test the performance of the implementation. It is found that the impact of rotational energy transfer via collisions on a loose transition state (TS) is more noticeable than a tight TS. The calculated results are then compared with those obtained from a recent fixed-J 2DME model.
This article was published in the following journal.
Name: The journal of physical chemistry. A
The quantum dynamics of spin systems is often treated by a differential equation known as the master equation, which describes the trajectories of spin observables such as magnetization components, sp...
In this paper, an approximate analytical solution of the bistable Allen-Cahn equation is given. The Allen-Cahn equation is a mathematical model to study the phase separation process in binary alloys a...
To derive a closed-form analytical solution to the swing equation describing the power system dynamics, which is a nonlinear second order differential equation.
The anomaly cancellation equations for the U(1) gauge group can be written as a cubic equation in n-1 integer variables, where n is the number of Weyl fermions carrying the U(1) charge. We solve this ...
When modeling a physical system using a Markov chain, it is often instructive to compute its probability distribution at statistical equilibrium, thereby gaining insight into the stationary, or long-t...
The purpose of this study is to evaluate the effectiveness and usability of the Master Caution System for 12 leads continuous monitoring of ECG signal in the ICCU. The purpose of the stud...
Among the different creatinine-based GFR predicting equations, the MDRD equation gives the best prediction in renal transplantation but does not provide the level of accuracy usually seen ...
The purpose of the study: (1) to understand the models of master education in nursing in Taiwan, including goals, curriculum, and clinical hours…etc). (2) to explore the clinical compete...
Umbrella Master Protocol: Studies of Investigational Agents With Either Pembrolizumab (MK-3475) Alone or With Pembrolizumab PLUS Chemotherapy in Participants With Advanced Non-small Cell Lung Cancer (NSCLC) (MK-3475-U01/KEYNOTE-U01)
This study is referred to as the "umbrella master protocol" for pembrolizumab (MK-3475) in the treatment of non-small cell lung cancer (NSCLC). This pembrolizumab NSCLC umbrella master pro...
Insulin infusions are commonly used in hospitalized diabetics to control blood sugar, and they are effective. However, insulin infusions require the use of limited resources. Insulin infu...
Hypertonic sodium chloride solution. A solution having an osmotic pressure greater than that of physiologic salt solution (0.9 g NaCl in 100 ml purified water).
The pressure required to prevent the passage of solvent through a semipermeable membrane that separates a pure solvent from a solution of the solvent and solute or that separates different concentrations of a solution. It is proportional to the osmolality of the solution.
Solution that is usually 10 percent glucose but may be higher. An isotonic solution of glucose is 5 percent.
The washing of the VAGINA cavity or surface with a solution. Agents or drugs can be added to the irrigation solution.
The washing of a body cavity or surface by flowing solution which is inserted and then removed. Any drug in the irrigation solution may be absorbed.