Diatomic molecules in three dimensions, Electrical Engineering

Assignment Help:

Consider the open rotation of a diatomic molecule consisting of two atoms of mass and respectively divided by a distance presume that the molecule is rigid with center of mass fixed.

a) Starting from the kinetic energy εk, where

268_Diatomic Molecules in Three Dimensions.png

Obtain the kinetic energy of this system in spherical coordinates and show that

659_Diatomic Molecules in Three Dimensions1.png

Where I is the moment of inertia. Express I in terms of m1, m2 and a.

b) Derive the canonical conjugate momenta P θ and P? Express the Hamiltonian of this system in terms of P θ, P?, ?, ?, and I.

1925_Diatomic Molecules in Three Dimensions2.png

Calculate Zcl. Calculate the heat capacity for a system of N molecules.

d) Presume now that the rotational motion of the molecule is described by quantum mechanics. Mark the partition function in this case taking into relation of the degeneracy of each state. Compute the heat capacity of a system of N molecules in the limit of low and high temperatures and compare them to the classical result.


Related Discussions:- Diatomic molecules in three dimensions

What are operations performed on data in 8085, What are operations performe...

What are operations performed on data in 8085 The various operations performed are Store 8-bit data Perform arithmetic and logical operations Test for conditio

Survey process - issues of power supply, Survey Process -  issues of power...

Survey Process -  issues of power supply The steps to be followed in any like survey procedure are given below. There is always a possibility of going back to any previous ste

Spectrum analyzer, Problem statement: A specialized piece of laboratory te...

Problem statement: A specialized piece of laboratory test equipment, called a spectrum analyzer,will be placed on a mobile push cart. The spectrum analyzer measures the amplitude

Digital ecectronics, DISIGN A FENITE STATE MACHINE TO DETECT THE SEQUENCE 1...

DISIGN A FENITE STATE MACHINE TO DETECT THE SEQUENCE 10110

Explain output ce characteristics, Q. Explain output CE characteristics? ...

Q. Explain output CE characteristics? 1. In the active region ic increases slowly as Vce increases. The slope of the curved is greater than the CB output characteristics. In co

How speech is transmitted in digital switching environment, Q. How speech i...

Q. How speech is transmitted in digital switching environment by using PCM/TDM? Ans: A digital carrier system is a communications system which uses digital pulses instead of

Calculate the voltage rating and magnetizing current, 1. For the flyback co...

1. For the flyback converter operating in the discontinuous "current" (flux) mode, derive an expression for the time at which the magnetizing current returns to zero. 2. A forwa

Sectoral overview and enabling framework, Sectoral Overview and Enabling Fr...

Sectoral Overview and Enabling Framework Previously, you have studied about several Acts and Policies relevant to the power sector, their aims, main features and implications

DC machine, importance of dummy coils and equalizer connections

importance of dummy coils and equalizer connections

Determine lower and upper cut-off frequency, Q. In an amplifier, the maximu...

Q. In an amplifier, the maximum voltage gain is 1500 and occurs at 1kHz. It falls to 1060.5 at 20kHz and at 20Hz. Determine (i) lower cut-off frequency (ii) upper cut-o

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd