Self-referential Monte Carlo method for calculating the free energy of crystalline solids

A self-referential Monte Carlo method is described for calculating the free energy of crystalline solids. All Monte Carlo methods for the free energy of classical crystalline solids calculate the free-energy difference between a state whose free energy can be calculated relatively easily and the state of interest. Previously published methods employ either a simple model crystal, such as the Einstein crystal, or a fluid as the reference state. The self-referential method employs a radically different reference state; it is the crystalline solid of interest but with a different number of unit cells. So it calculates the free-energy difference between two crystals, differing only in their size. The aim of this work is to demonstrate this approach by application to some simple systems, namely, the face centered cubic hard sphere and Lennard-Jones crystals. However, it can potentially be applied to arbitrary crystals in both bulk and confined environments, and ultimately it could also be very efficient

Important Teacher Qualities for Integrating Blended Learning in Higher Education

Blended learning is widely accepted in Peruvian higher education for a number of reasons, including the fact that it allows students more leeway to accommodate their own unique schedule and learning needs. The present qualitative research investigates the qualities of effective teachers that are crucial to the successful implementation of blended learning from the vantage point of experts, who can gain valuable insight into the causes of organizational problems and the best strategies for resolving them. There are seven positive characteristics of blended learning teachers, such as the ability to recognize the need for pedagogical change or the confidence to incorporate technology into learning processes, and four negative characteristics, such as a lack of familiarity with blended learning or anxiety about students use of technology. Blended learning in higher education is investigated here to identify the factors that influence it