Materials Properties Ⅱ

Course Information

College	Toyama College	Year	2019
Course Title	Materials Properties Ⅱ
Course Code	0210	Course Category	Specialized / Elective
Class Format	Lecture	Credits	Academic Credit: 2
Department	Department of Mechanical Engineering	Student Grade	5th
Term	Second Semester	Classes per Week	2
Textbook and/or Teaching Materials	Introduction to Solid State Physics, Charles Kittel, ISBN: 978-0-471-41526-8
Instructor	Toshima Takeshi

Course Objectives

As a basic knowledge in solid physics, the goal is to understand and explain the following items.
· Crystals (definition of crystal, brava lattice, real space and wavenumber space)
· Statistical mechanics (thermal equilibrium, entropy, Boltzmann statistics, Gibbs free energy, Fermi statistics, Bose statistics)
· Cohesive strength of crystal (elastic constant, wave equation in wave propagating in crystal)
· Band structure (conductor, semiconductor, insulator)
·Dielectric (polarization)
·Magnetic material (magnetization, susceptibility, diamagnetism, paramagnetism)
· Superconductivity (Normal conduction and superconductivity, BCS theory, industrial application of superconducting materials)
Specifically, each item of the following rubric will be the target.

Rubric

	Ideal Level of Achievement	Standard Level of Achievement	Unacceptable Level of Achievement)
1: Crystal structure	It is possible to explain the definition of the crystal and explain the brave lattice using formulas and diagrams	It is possible to show the brave lattice as a figure or express a conditional expression	It is impossible to show the brave lattice as a figure or express a conditional expression
2: Reciprocal space	Understand the dimensions of real space and wavenumber space and explain it by combining with diffraction phenomena	Understand the difference between real space and wavenumber space and calculate the diffraction condition.	Misunderstand the difference between real space and wavenumber space and calculate the diffraction condition.
3: Thermal equilibrium and entropy I	Understand the difference between closed and open systems and it is possible to explain equilibrium condition.	UUnderstand the difference between a closed system and an open system and describe equations of the equilibrium condition.	It is impossible to describe the equations of equilibrium condition.
4: Thermal equilibrium and entropy II	It is possible to explain about Boltzmann statistics and Gibbs free energy in conjunction with the constraints of the assumed system.	Describe the formulas of Boltzmann statistics and Gibbs free energy.	It is impossible to describe the formulas of Boltzmann statistics and Gibbs free energy.
5: Lattice vibration (Phonon)	It is possible to show the wave equation of the wave propagating in the crystal and derive the propagation velocity in conjunction with the crystal orientation.	Show the wave equation of the wave propagating in the crystal and explain that the propagation speed varies depending on the crystal orientation.	It is impossible to show the wave equation of the wave propagating in the crystal and explain that the propagation speed varies depending on the crystal orientation
6: Fermi particle and Bose particle	It is possible to explain the features of Fermi particle and Bose particle and describe each distribution function.	Explain the features of the Fermi particle and Bose particle.	It is impossible to explain the features of Fermi particle and Bose particle.
7: Energy band	It is possible to explain the difference between conductors, semiconductors, and insulators using a band structure.	Explain the band structure and differences between conductors and insulators.	It is impossible to explain the band structure and difference between conductors and insulators.
8: Dielectric materials	It is possible to explain the electrical properties of insulators and the polarization of the dielectric fenomena.	Explain the electrical properties of insulators.	It is impossible to explain the electrical properties of insulators.
9: Magnetic materials	It is possible to explain the difference between magnetization and magnetic susceptibility, diamagnetism and paramagnetism and evaluate magnetic material from hysteresis loop.	Explain the differences between magnetization and magnetic susceptibility, and diamagnetism and paramagnetism.	It is impossible to explain the difference between magnetization and magnetic susceptibility, diamagnetism and paramagnetism.
10: Superconduction	It is possible to explain the features of superconductor from the expression mechanism and to describe the properties of superconductivity required for industrial applications.	Enumerate features of a superconductor and show the properties of superconductivity used in industrial applications.	It is impossible to explain the superconductivity.

Assigned Department Objectives

Learning and Educational Objectives of the “General Engineering” A-2 （設計・システム，情報・論理，材料・バイオ，力学，社会技術に関する基礎知識を理解し，簡単に説明することができる。）

JABEE 1(2)(d)(1) （専門工学（工学（融合複合・新領域）における専門工学の内容は申請高等教育機関が規定するものとする）の知識と能力）

JABEE 1(2)(d)(2) （いくつかの工学の基礎的な知識・技術を駆使して実験を計画・遂行し、データを正確に解析し、工学的に考察し、かつ説明・説得する能力）

JABEE 2.1(1) （基礎工学として、①設計・システム系科目群、②情報・論理系科目群、③材料・バイオ系科目群、④力学系科目群、⑤社会技術系科目群の５群からなり、各群から少なくとも１科目、合計最低６科目を含むこと。）

Diploma policy 1 （機械を構成する材料の物性，製造方法，加工・生産技術や，機械設計に欠かせない材料，熱，流体，機械の力学，電気・情報処理など，幅広い知識と技術，応用力を身につけ，それらを応用したものづくりができる。）

Teaching Method

Outline:

Understand the properties of materials on an atomic scale and the fundamentals of quantum mechanics and statistical mechanics from material science and crystalography.
With regard to physics and chemistry that we have learned so far, we will learn that solid state properties can be understood using mathematical methods.
Although focusing on electrical properties in solids, we will learn that it is also applicable to material strength,
hardness, thermal conductivity and optical properties.

Style:

Evaluate the student’s degree of comprehension according to the form of lecture and exercise, and in principle proceed according to the lesson plans.
(May sometimes change according to student’s degree of understanding.)

Notice:

It is assumed that students fully understand mathematical methods (differential, integral, Fourier transform) that they have learned in basic subjects such as physics and mathematics.
In the event that the student is not confident in the above, prepare mathematical reference books that may be related in advance.
(The reference books on mathematics are not listed here.)

Course Plan

			Theme	Goals
2nd Semester
	3rd Quarter
		1st	Guidance How to proceed with this lecture Review on materials science	Explain the role of "solid" in materials science
		2nd	Crystal structure and reciprocal lattice Ⅰ About crystal structure and brave lattice and reciprocal lattice space	It is possible to explain the definition of crystal and to describe each condition of the brave lattice.
		3rd	Crystal structure and reciprocal lattice Ⅱ Regarding bonding energy of crystals	It is possible to explain that there is a difference in the kind of bonding between atoms
		4th	Statistics in solids Ⅰ Thermal equilibrium condition and entropy	It is possible to describe the conditions of thermal equilibrium state.
		5th	Statistics in solids Ⅱ Boltzmann factor and Gibbs factor	It is possible to explain the difference between a closed system and an open system
		6th	Crystal structure and reciprocal lattice Ⅲ The elasticity on crystal system	It is possible to explain elastic deformation.
		7th	Vibration of crystal lattice Ⅰ Vibration of crystal and propagation of elastic wave	It is possible to explained that the propagation of elastic waves differs depending on the crystal orientation.
		8th	Crystal lattice vibration II Quantization of waves and phonon specific heat The density state	It is possible to explain the relationship between crystal periodicity and wave quantization.
	4th Quarter
		9th	Fermi particles and statistics Fermi particle and Fermi-Dirac distribution function	It is possible to explain the characteristics of Fermi particles.
		10th	Bose particle and statistics Bose-Particle and Bose-Einstein Distribution Function	It is possible to explain the characteristics of Bose particle.
		11th	Fermi surface and band structure Energy band and energy gap and the differences between metals and insulators	It is possible to explain the difference between metal, semiconductor and insulator from the band structure.
		12th	Dielectric materials Polarization, macroscopic electric field and local electric field	It is possible to explain the difference between conductors and dielectrics by the movement of electrons.
		13th	Magnetic materials Magnetization and magnetic susceptibility, diamagnetism and paramagnetism	It is possible to explain magnetic susceptibility.
		14th	Superconductors BCS theory and industrial application of superconducting materials	It is possible to explain superconductivity (ideal conductor, perfect diamagnetism).
		15th	Final exam
		16th	Return exam papers Explanation of exam Class questionnaire

Evaluation Method and Weight (%)

	Examination	Portfolio	Total
Subtotal	60	40	100
Basic Ability	40	20	60
Technical Ability	20	20	40