Crystals Symmetry and Tensors
Learn fundamentals and advanced concepts of crystallography with Crystals, Symmetry and Tensors certification by NPTEL.
Online
12 WeeksQuick Facts
| Medium Of Instructions | Mode Of Learning | Mode Of Delivery |
|---|---|---|
| English | Self Study | Video and Text Based |
Course Overview
The Crystals, Symmetry and Tensors certification course is a 12-week programme. The course is elective and is designed for the undergraduate and postgraduate. The certification programme covers a comprehensive curriculum that includes geometrical crystallography, reciprocal lattice, the concept of symmetry, rotation axes, and symmetry-based classification of lattices.
The students interested in solid-state science and engineering will benefit from this certification course. Apart from them, the UG and PG students of Physics, Chemistry, Metallurgy, Materials Science, Mechanical Engineering, and Chemical Engineering will find this course beneficial. The Crystals, Symmetry and Tensors certification by NPTEL provides a comprehensive understanding of the subject to excel in the field.
Also Read: Online Metallurgical Engineering Courses & Certifications
The Highlights
- Video Course
- 12 Weeks Duration
- Completion Certification
Programme Offerings
- Transcripts
- hands-on training
Courses and Certificate Fees
| Certificate Availability | Certificate Providing Authority |
|---|---|
| yes | IIT Delhi |
Eligibility Criteria
Certification Qualifying Details
The candidates must pass the written examination by registering for the exam on the NPTEL official website to get a certificate.
What you will learn
The students will learn from the fundamentals to advanced concepts of point, space groups symmetry, vector and tensor applications in crystallography. After completing the Crystals, Symmetry and Tensors certification syllabus, they will gain a deep understanding of the definition, properties of mathematical groups, stereographic projection and matrix representation of symmetry operations.
Upon completion of the Crystals, Symmetry and Tensors training, the students will be able to calculate the useful elastic properties such as modulus, Poisson ratio and others using tensor methods. With the leading industry experts support students will gain hands-on experience to apply the learned concepts and methods in real-world projects.
Who it is for
This Crystals, Symmetry and Tensors certification course is designed for aspiring students to enhance their skills and knowledge in the field. This course is also beneficial for:
Admission Details
To join the Crystals, Symmetry and Tensors classes, follow the steps mentioned below:
Step 1: Browse the link mentioned below:
https://nptel.ac.in/courses/113102108
Step 2: Log in with a Google account or create a new account and log in.
Step 3: Fill out the form with the required information, submit it and start the course.
The Syllabus
- Geometrical crystallography: crystals, lattice and motif, lattice points and translation vectors, unit cells: primitive and non-primitive
- Miller indices of planes and directions.
- Reciprocal lattice, use of reciprocal lattice in crystallographic calculations, angle between planes, angle between a plane and a direction, d-spacing of planes, volume of a crystal
- Structure and metric matrices.
- Concept of Symmetry
- Symmetry operations
- Proper and Improper operations. Point and Space operations. Rotation axes
- Roto-reflection and Roto-inversion axes. Mirror and glide planes
- Inversion centre. Screw axes
- Definition and properties of mathematical groups
- Subgroups. Cosets. Lagrange’s theorem
- Stereographic projection and matrix representation of symmetry operations.
- Symmetry based Classification of lattices: 7 crystal systems and 14 Bravais lattices
- 17 plane groups
- Symmetry based classification of crystal 32 Crystal classes and 230 space group
- Possible proper rotation axes for crystals
- Possible combination of pure rotation axes: Euler’s construction
- Development of 32 point groups
- Space groups and International Tables
- Cartesian tensors: definition, rank, representation quadric
- Magnitude of a property in a given direction.
- Second-rank tensor properties
- Electrical and thermal conductivity, thermal expansion coefficient
- Elasticity and fourth rank tensors
- Elastic stiffness and compliance
- Calculation of useful elastic properties such as modulus, Poisson ratio etc using tensor methods
IIT Delhi Frequently Asked Questions (FAQ's)
The certification course is designed for undergraduate and postgraduate students and lasts for 12 weeks.
Students of UG and PG in Physics, Chemistry, Metallurgy, Materials Science, Mechanical Engineering, and Chemical Engineering and interested in solid-state science and engineering will find this course beneficial.
The certification course curriculum includes Geometrical crystallography, unit cells, primitive and non-primitive, symmetry classification of crystals, and definition and properties of mathematical groups, subgroups, cosets and Lagrange’s theorem.
The certification course comes under the Metallurgy and Material Science & Mining Engineering category.