4.2 Write down the dynamic equation for a one-dimensional linear chain ofN (large number) atoms (atomic distance a, restoring force f, atomic massm) and solve this with an ansatz un(t) = u(q) [i(qna-ω t)].a) Compare the obtained dispersion ω(q) with that of the diatomic linearchain (4.15).Nb) Show that the total momentum ∑n=1^N m u̇n(t) of a phonon vanishes.c) Show that for long wavelengths (q ≪ a^-1) the dynamic equation for thechain transforms into a wave equation for elastic waves when the di
4.2 Write down the dynamic equation for a one-dimensional lin…
Jun 20, 2023
numerade.com
A model of one dimensional chain contains a large number N of a... | Filo
A model of one dimensional chain contains a large number N of a... | …
5K viewsMar 8, 2024
askfilo.com
A one-dimensional chain is made up of N identical elements of l... | Filo
A one-dimensional chain is made up of N identical elements of l... | Filo
5K viewsNov 21, 2024
askfilo.com
Linear, Quadratic & Exponential Functions | Models & Graphs
6:14
Linear, Quadratic & Exponential Functions | Models & Graphs
98K viewsJul 15, 2020
Study.comLaura Pennington
What Is Chain Length In Polymer Chemistry? - Science Through Time
2:53
What Is Chain Length In Polymer Chemistry? - Science Through Time
2 months ago
YouTubeScience Through Time
What Is Linear Polymer Chain Structure? - How It Comes Together
3:08
What Is Linear Polymer Chain Structure? - How It Comes Together
9 views3 months ago
YouTubeHow It Comes Together
Endless Derivatives - Part 4: The Chain Rule
40:59
Endless Derivatives - Part 4: The Chain Rule
4 views3 months ago
YouTubeLow Dimensional
Markov Chains With Diagonalization
457 viewsJul 28, 2020
YouTubeJake Potter
6:45
The Chain Rule for Derivatives — Topic 59 of Machine Learning Fou…
5.5K viewsJul 12, 2021
YouTubeJon Krohn
A chain of length l and mass m lies on the surface of asmooth sphere …
4.4K viewsAug 18, 2021
YouTubePhysics With Shubham
Module 4.5 Lattice vibrations in Diatomic chain
12.8K viewsMay 8, 2020
YouTubeLUMS Physics Department
Calculus - Understanding the chain rule
96.2K viewsSep 29, 2013
YouTubeMySecretMathTutor
10:06
Basis and Dimension
758.1K viewsApr 24, 2019
YouTubeProfessor Dave Explains
23:16
Wavefunction Properties, Normalization, and Expectation Va…
173K viewsAug 12, 2020
YouTubeProfessor Dave Explains
3:35
Classifying Polymers by Chain Structure
6.2K viewsSep 25, 2020
YouTubeStudySession
18:40
Chain Rule For Finding Derivatives
4.5M viewsMay 11, 2017
YouTubeThe Organic Chemistry Tutor
8:54
DIP#13 Piecewise linear transformation in Digital image pr…
113.7K viewsNov 5, 2020
YouTubeEC Academy
4:29
Partial Derivative | Multivariable Chain Rule
23.6K viewsJun 3, 2020
YouTubeTambuwal Maths Class
5:49
Line Integrals in 3D // Formula & Three Applications
103.4K viewsOct 5, 2020
YouTubeDr. Trefor Bazett
2:58
How to Measure Roller Chain Size
69.5K viewsJan 24, 2020
YouTubePEER Chain
4:00
How She Learned Radical Acceptance | MARSHA LINEHAN
606.8K viewsApr 14, 2017
YouTubeBorderlinerNotes
14:16
Differential chain code -- Object Representation and description
5.2K viewsApr 23, 2020
YouTubeSarita Bopalkar
16:53
1.3-Lines and Dimensioning in Engineering Drawing
177.3K viewsAug 6, 2017
YouTube1st Year Engineering Drawing
4:31
Roller Chain Calculation and Design (MITCalc-07)
8.4K viewsMay 13, 2018
YouTubeMirek Petele
21:10
Chain Rule With Partial Derivatives - Multivariable Calculus
775K viewsOct 31, 2019
YouTubeThe Organic Chemistry Tutor
5:07
Chain rule | Derivative rules | AP Calculus AB | Khan Academy
621.8K viewsMay 30, 2018
YouTubeKhan Academy
13:01
SolidWorks Sheets: Drawing Views and Dimensioning
342.8K viewsSep 22, 2016
YouTubeEric Martin
2:50
How to calculate linear and planar density
34.3K viewsSep 30, 2020
YouTubeTaylor Sparks
19:28
Introduction to coordinate system ||EM Theory || Dr. Niraj Kumar VIT …
276K viewsMar 22, 2020
YouTubeRF Design Basics
1:41
Determine the Dimensions of a Matrix (Example)
31K viewsJan 6, 2021
YouTubeJames Elliott
See more videos
Static thumbnail place holder