Mathematical crystal growth I

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Mathematical Crystal Growth

Let A, D be finite subsets of Zk (the set of all k-tuples of integers), and consider the sequence of sets (A,A + D,A + D+ D, . ..) which can be thought of as stages of growth in a crystal. One starts with a hub A and adds increments equal to D. We represent finite subsets of Zk by means of polynomials, and show that the sequence of polynomials corresponding to the crystal sequence is generated ...

متن کامل

Analysis of a Mathematical Model Related to Czochralski Crystal Growth

This paper is devoted to the study of a stationary problem consisting of the Boussinesq approximation of the Navier–Stokes equations and two convection–diffusion equations for the temperature and concentration, respectively. The equations are considered in 3D and a velocity–pressure formulation of the Navier–Stokes equations is used. The problem is complicated by nonstandard boundary conditions...

متن کامل

Ni2As2O7 pyrochlore nanomaterial: Solid state synthesis, crystal structure determination, crystal phase growth study and physical properties

Nanostructured Ni2As2O7 semiconductor samples were synthesized by a solid state method among As2O3 and Ni(NO3)2.6H2O raw materials at 650 °C (S1) and 750 °C (S2) as reaction temperatures. The synthesized nanomaterials were characterized by powder X-ray diffraction (PXRD) technique and F...

متن کامل

Mathematical Methods I

2 Vector Analysis 6 2.1 Vectors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 2.2 Scalar Products . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.3 The Gradient . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.4 The Divergence . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 2.5 The Curl . . . . . . . . . . . . . . . . . . . . . . . . . . . ...

متن کامل

EFFECT OF SPIRAL DESIGN ON CRYSTAL ORIENTATION DURING SINGLE CRYSTAL GROWTH

Geometrical design of the spiral crystal selector can affect crystal orientation in the final single crystal structure. To achieve a better understanding of conditions associated with the onset of crystal orientation in a spiral crystal selector, temperature field was investigated using three-dimensional finite element method during the process. Different geometries of spiral crystal selec...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Discrete Applied Mathematics

سال: 1981

ISSN: 0166-218X

DOI: 10.1016/0166-218x(81)90027-5