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Nanomechanical Systems

Module EI71092

This Module is offered by TUM Department of Electrical and Computer Engineering.

This module handbook serves to describe contents, learning outcome, methods and examination type as well as linking to current dates for courses and module examination in the respective sections.

Basic Information

EI71092 is a semester module in English language at Master’s level which is offered in winter semester.

This Module is included in the following catalogues within the study programs in physics.

  • Catalogue of non-physics elective courses
Total workloadContact hoursCredits (ECTS)
150 h 60 h 5 CP

Content, Learning Outcome and Preconditions


The module consists of a lecture and accompanying exercises. The lecture deals with the fundamentals of nanomechanical systems. These include the fabrication of freely suspended nanostructures, their vibrational behavior in the linear and nonlinear response regime, actuation and detection mechanisms, damping and Q-factor. Both the classical and quantum mechanical regimes of nanomechanics are covered. Modern applications in sensing or quantum technologies are also discussed.

Learning Outcome

Upon successful completion of the module, students will acquire knowledge of nanomechanical systems and be able to evaluate developments in this area. In particular, an understanding of the following fundamental concepts will be obtained:
- Vibrational behavior and important characteristics of nanomechanical resonators.
- Behavior in the classical and quantum mechanical regimes
- Applications of nanomechanical systems


Bachelor of Electrical Engineering, Physics or equivalent. Basic knowledge of solid state physics and quantum mechanics are desirable.

Courses, Learning and Teaching Methods and Literature

Learning and Teaching Methods

The lecture is taught on the blackboard or with projected slides. In addition, students will have ample opportunity for questions and discussion.
In the exercise groups, the learned content is deepened and supplemented by exercises. In addition, current scientific publications are regularly discussed.


Blackboard or projection from tablet, slide presentation


- S. Schmid, L. G. Villanueva, M. L. Roukes, "Fundamentals of Nanomechanical Resonators", Springer, Berlin, 2016
- A. N. Cleland, "Foundations of Nanomechanics", Springer, Berlin, 2003
- M. Poot, H. S. J. van der Zant, "Mechanical Systems in the Quantum Regime", Physics Reports 511, 273 (2012)

Module Exam

Description of exams and course work

The examination consists of an oral examination of approximately 30 minutes at the end of the semester. The subject of the examination is a basic understanding of the concepts taught in the lecture, thus determining the achievement of the competencies presented in the section Study Goals. In case of a large number of participants, the oral exam can be replaced by a 60-minute written exam.

Exam Repetition

There is a possibility to take the exam in the following semester.

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