This is an introductory course to solid state physics, which is the single largest subject field within physics. The course introduces reciprocal space (also called k space) and its different applications, which is necessary knowledge for all further studies within the field.

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## Content and learning outcomes

### Course contents

The course introduces k-space (wave vector space) and the reciprocal lattice with its applications, which are central concepts for further studies within solid state physics. In addition, the course gives an overview of different models to describe the properties of solid materials. The syllabus is as follows

• Classification of solid material, atomic binding
• Crystalline materials, lattice vectors, unit cells
• Reciprocal space, Brillouin zones
• X-ray diffraction, Bragg’s law, von Laue equations
• Lattice vibrations, phonons, heat capacity
• Free electron model, resistance in metals, Hall effect
• Band structure, Bloch wave functions, introduction to band structure calculations
• Semiconductors, metals, superconductivity and magnetism

### Intended learning outcomes

After the course, the student should be able to

• describe and classify materials from their crystal structure and atomic arrangements
• apply the theory for X-ray diffraction in reciprocal space (k-space) to determine the lattice structure of crystalline materials and also be able to use these principles for other waves in solid materials
• describe the different physical mechanisms for crystal binding by identifying repelling and attractive interaction coupled to atomic properties
• formulate basic models for lattice vibrations (phonons) and their influence on the physics of crystalline materials, make calculations based on these models and be able to relate the conclusions form the models to experimentally measured properties of materials
• formulate electron properties in a periodic potential, explain factors that affects the band structure of a crystalline material, make a simple band structure calculation and based on this develop a qualitative understanding of the band structure of materials
• explain the physical principles for different types of electric and magnetic phenomena in solid materials and relate this to macroscopically measurable quantities

with the aim of being able to handle the coupling between fundamental theoretical models and experimental results in solid state physics and having sufficient knowledge to continue with deeper studies within the field.

For higher grades, it is in addition required that the students should be able to apply the knowledge learnt in the course on for them completely unknown problems.

### Course Disposition

No information inserted

## Literature and preparations

### Specific prerequisites

Completed course SI1155 Theoretical physics or SH1012 Modern physics.

### Recommended prerequisites

No information inserted

### Equipment

No information inserted

### Literature

No information inserted

## Examination and completion

If the course is discontinued, students may request to be examined during the following two academic years.

A, B, C, D, E, FX, F

### Examination

• LAB1 - Laboratory Work, 1,5 hp, betygsskala: P, F
• TEN2 - Written exam, 4,5 hp, betygsskala: A, B, C, D, E, FX, F
• TEN3 - Unsupervised examination, 1,5 hp, betygsskala: P, F

Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

The examination TEN2 corresponds subject-wise to the earlier examination TEN1 in the course.

### Opportunity to complete the requirements via supplementary examination

No information inserted

### Opportunity to raise an approved grade via renewed examination

No information inserted

### Ethical approach

• All members of a group are responsible for the group's work.
• In any assessment, every student shall honestly disclose any help received and sources used.
• In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.

## Further information

### Course web

Further information about the course can be found on the Course web at the link below. Information on the Course web will later be moved to this site.

Course web SK2758

### Offered by

SCI/Applied Physics

### Main field of study

Engineering Physics

Second cycle