12th Registration Form [First name] Required [Family name] Required [Nationality] Required [Affiliation] Required *University, institution, company etc [Affiliation] Required *Department, faculty etc [Position] Required *ex. Professor, Researcher,Student (Ph.D, master, undergraduate; school year) [Speciality] Required *ex. mineralogy, chemistry, structural biology.. [Email address] Required [Email address confirmation] Required [SOKENDAI credit certification] If you hope, please select YES. Note) Regarding to graduate students other than SOKENDAI who wish to earn credits for this course, please contact the Educational Affairs Section by 15:00 on May 28th (Tue.). YES NO If you are a SOKENDAI student, please fill in your student ID number. [KEK Dormitory request for use] Required Note) You are required to make an user registration to KEK User Support System.First-time users will get help on request. 1) S room (without bathroom 2100YEN/night) 2)SB room #3_4 (with bathroom 2600YEN/night) 3)SB room #5 (with bathroom, a bit wider than 2) and the new one 3100YEN/night) S room SB room#3_4 SB room #5 Either is OK No need [KEK Dormitory period or your stay] ex. 7/21(night) -7/26(morning) Note) The lecture starts 9am and finishes 6pm every day, so we recommend to stay from 7/21 (Sunday night) to 7/27 (Saturday morning) , especially if you live outside the Kanto region. [Comprehension test] Required The following questions have been selected from the program of the training course. You are requested to indicate how many of these 22 question you are able to answer. After attending the training course, you are expected to be able to answer to all of these questions. Compute the scalar product of two vectors with respect to a general (non-Cartesian) coordinate system. Explain the difference between an affine mapping, a Euclidean mapping (isometry), and a symmetry operation. Explain the difference between a symmetry operation and a symmetry element. Explain the algebraic concept of group. Use the notion of point group to describe the morphological and physical symmetry of a crystal. Use the notion of space group to describe the symmetry of the atomic structure of a crystal. Explain the difference between Hermann-Mauguin and Schoenflies symbols. Extract the symbol of a point group from that of a given space group. Explain the difference between two point groups: 32 and 23. Explain the difference between point group and crystal class. Derive the Bravais lattices in dimensions up to 3. Identify the symmetry directions in each Bravais lattice. Explain the difference between primitive unit cell, multiple (centred) unit cell and conventional unit cell. Explain the difference between inversion centre and inversion point. How many inversion centres are there in a primitive cell of a centrosymmetric space group? Give the symmetry restrictions on the cell parameters for each crystal system. In a tetragonal crystal for which the fourfold axis has been chosen parallel to the c axis, one cannot choose an A-centred unit cell. Why? Explain why the symbol C2/a does not appear in the International Tables for Crystallography. Read the information off the Wyckoff positions of the International Tables for Crystallography. Give a definition of symmorphic space group. Three types of symmorphic space groups exist which correspond to a point group of type 32: P312,P321 and R Explain the difference between the two hexagonal and the rhombohedral space groups. A given compound crystallises in two polymorphs. The high-temperature polymorph in a space group of type Pcca, the low-temperature one in a space group of type P2221; the volume of the two unit cells is almost identical. To compare the crystal structures of the two polymorphs, it is useful to describe them in a common coordinate system. However, the conventional unit cell of the two space groups is not the same, so that one of the two structures has to be described in an unconventional setting. Can you obtain this setting from the conventional one? [Remarks] CONFIRM