We build the theory of diffusion for FCC binary interstitial alloy under pressure based on the statistical moment method, where there are the analytic expressions of the jumping frequency of interstitial atom, the effective jumping length, the correlation factor, the diffusion coefficient, and the activated energy. In limit cases, we can obtain the diffusion theory for FCC metal A under pressure. | HNUE JOURNAL OF SCIENCE DOI Natural Sciences 2020 Volume 65 Issue 10 pp. 18-23 This paper is available online at http THE DIFFUSION IN FCC BINARY INTERSTITIAL ALLOY Nguyen Quang Hoc1 Pham Thi Thanh Loan2 Nguyen Tuan Viet3 and Nguyen Ngoc Le4 1 Faculty of Physics Hanoi National University of Education 2 My Dinh 1 Secondary School Hanoi 3Kieu Phu Secondary School Hanoi 4 K67 Student of the Faculty of Physics Hanoi National University of Education Abstract. We build the theory of diffusion for FCC binary interstitial alloy under pressure based on the statistical moment method where there are the analytic expressions of the jumping frequency of interstitial atom the effective jumping length the correlation factor the diffusion coefficient and the activated energy. In limit cases we can obtain the diffusion theory for FCC metal A under pressure. Keywords binary interstitial alloy jumping frequency effective jumping length correlation factor diffusion coefficient activated energy statistical moment method. 1. Introduction Study on the diffusion of metals and interstitial alloys pays attention to many researchers 1-10 . The phenomenon of the diffusion of atoms in a crystal is one of the very important problems of solid state physics and material science 1-7 . For alloys in general and interstitial alloys in particular there are two basic mechanisms of diffusion. This is the substitutional mechanism and the interstitial mechanism. The mechanisms of diffusion depend on every material and doped impurity. In studying the process of diffusion the most important parameters are the activated energy and the diffusion coefficient. Determining the diffusion coefficient of atoms in a crystal is a very complex problem because processes of diffusion depend on many different conditions. In order to obtain exact results of the diffusion coefficient theoretically it is necessary to solve some basic problems such as the theory of atomic .