(Solution) - In a chain of identical atoms the vibration frequency w depends -(2025 Original AI-Free Solution)

Discipline:

Type of Paper:

Academic Level: Undergrad. (yrs 3-4)

Paper Format: APA

Pages: 5 Words: 1375

Download Solution ($11.00) Write My Paper Afresh

Buy For $11.00

Paper Details

In a chain of identical atoms the vibration frequency w depends on wave number k as w = w max sin (ka/2), where w max is the maximum vibration frequency, k = 2?/?, is the wave number corresponding to frequency w a is the distance between neighbouring atoms. Making use of this dispersion relation, find the dependence of the number of longitudinal vibrations per unit frequency interval on w, i.e. dN/dw, if the length of the chain is l. Having obtained dN/dw, find the total number N of possible longitudinal vibrations of the chain.