Monoatomic Lattice Vibrations.pptx

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Monoatomic lattice vibrations are elastic vibrations produced in a lattice with only one kind of atoms arranged in a 1D chain. This is an important first topic in the chapter of Phonon Theory in any Solid State Physics textbook. Understanding the physics behind it enables students to then make the conceptual leap to Diatomic lattice vibrations in which Acoustic and Optical branches come into the picture.

Monoatomic Lattice Vibrations
SSP-1
Muhammad Muaz Rafique
70070167
BS Physics 7

1D Monoatomic Lattice Vibrations

Mathematical Analysis

continued...

continued...

continued...

continued...

(Classical) Dispersion Relation

Linearity in Dispersion Relation

Optimization of k

First Brillouin Zone

k-Dependence of Lattice Vibrations

Group vs. Phase Velocity

Monoatomic Lattice Vibrations.pptx

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Monoatomic Lattice Vibrations.pptx

1. Monoatomic Lattice Vibrations SSP-1 Muhammad Muaz Rafique 70070167 BS Physics 7

2. 1D Monoatomic Lattice Vibrations

3. Mathematical Analysis

4. continued...

5. continued...

6. continued...

7. continued...

8. (Classical) Dispersion Relation

9. Linearity in Dispersion Relation

10. Optimization of k

11. First Brillouin Zone

12. k-Dependence of Lattice Vibrations

13. Group vs. Phase Velocity