Gauge-origin independent calculations of Jones birefringence

We present the first gauge-origin independent formulation of Jones birefringence at the Hartree–Fock level of theory. Gauge-origin independence is achieved through the use of London atomic orbitals. The implementation is based on a recently proposed atomic orbital-based response theory formulation that allows for the use of both time- and perturbation-dependent basis sets [Thorvaldsen, Ruud, Kristensen, Jørgensen, and Coriani, J. Chem. Phys. 129, 214108 (2008)]. We present the detailed expressions for the response functions entering the Jones birefringence when London atomic orbitals are used. The implementation is tested on a set of polar and dipolar molecules at the Hartree–Fock level of theory. It is demonstrated that London orbitals lead to much improved basis-set convergence, and that the use of small, conventional basis sets may lead to the wrong sign for the calculated birefringence. For large basis sets, London orbitals and conventional basis sets converge to the same results

Effectiveness of virtual space in the socialization process of teenagers (under martial law)

The aim of the research is to study the impact of virtual space on adolescent socialization during the war by analysing the mechanisms of value formation, attitude to war, national identity and other aspects of socialization. The research involved such methods as expert evaluation, questionnaire survey, sociometry, correlation and regression analysis, as well as factor analysis using the maximum likelihood method. The methods of mathematical statistics were used. It was found that 75% of students use social networks every day, and 25% — several times a week. Instagram is the most popular social network among students, which is used by 65% of respondents, followed by Facebook with 30%, and TikTok with 20%. In general, the results of the study showed that the use of virtual space can have both positive and negative consequences for adolescents. These effects may include increased socialization and life satisfaction, but may also include the risk of developing bad habits and involvement in crime. It is important to conduct further research to understand the mechanisms of influence of virtual worlds on adolescent behaviour and to develop strategies to minimize negative consequences. Future research may be aimed at analysing different types of virtual space and their impact on adolescent socialization

E-learning in educational system of Russia: actualization of problem

The article draws attention to the problems of development of remote technologies and creation of a natural learning environment for learners.On the one part the economy of Russia require the experts, who are ready to new conditions of professional activity in the information environment of society, on the other part, Russia together with a problem of real outflow of students, is also threatened by prospect of their virtual outflow by means of the developed Electronic Learning of large European universitiesВ статье обращается внимание на проблемы развития дистанционных технологий и создания естественной для обучаемых образовательной среды. С одной стороны экономика России нуждается в специалистах, готовых к новым условиям профессиональной деятельности в информационной среде общества, с другой стороны, России наряду с реальным оттоком студентов, угрожает перспектива их виртуального оттока посредством развитого Electronic Learning крупных европейских университето

On the Way to Educational and Cognitive Independence of the Child

Using the example of chess, the author examines the possibilities of using logic games to expand and positively change memory, self-organization, sociability, emotional stability and other important human qualities. Particular emphasis is placed on the use of chess as a tool for the development of a child's independence, which, despite the antiquity of this game, corresponds to the spirit and letter of the Convention on the Rights of the Child, realizes the child's right to develop and preserve his individuality.На примере шахмат рассматриваются возможности использования логических игр для расширения и положительного изменения памяти, самоорганизованности, коммуникабельности, эмоциональной устойчивости и других важных качеств человека. Особый акцент ставится на использовании шахмат как инструмента развития самостоятельности ребенка, что, несмотря на древность этой игры, соответствует духу и букве Конвенции о правах ребенка, реализует право ребенка на развитие и сохранение своей индивидуальности