UrbanPro
true

Take BSc Tuition from the Best Tutors

  • Affordable fees
  • 1-1 or Group class
  • Flexible Timings
  • Verified Tutors

Search in

B.Sc. Chemistry - Rotational Spectroscopy.

Nidhi T.
09/06/2017 0 0

 Rotational spectroscopy is concerned with the measurement of the energies of transitions between quantized rotational states of molecules in the gas phase.

The rotational energy levels, F(J), of the molecule can be expressed as,

F\left(J\right)=BJ\left(J+1\right)\qquad J=0,1,2,...
B={h \over {8\pi ^{2}cI_{B}}}={h \over {8\pi ^{2}cI_{C}}}

For a diatomic molecule,

 I=\frac{m_1m_2}{m_1 +m_2}d^2

 \Delta J=J^{\prime} - J^{\prime\prime} = \pm 1 . Thus, the locations of the lines in a rotational spectrum will be given by

{\tilde \nu }_{{J^{{\prime }}\leftrightarrow J^{{\prime \prime }}}}=F\left(J^{{\prime }}\right)-F\left(J^{{\prime \prime }}\right)=2B\left(J^{{\prime \prime }}+1\right)\qquad J^{{\prime \prime }}=0,1,2,...

J^{\prime\prime} denotes the lower level and J^{\prime} denotes the upper level involved in the transition.

 

The number of molecules in an excited state with quantum number J, relative to the number of molecules in the ground state, NJ/N0 is given by

\frac{N_J}{N_0}=e^{-\frac{E_J}{kT}} =e^{-\frac {BhcJ(J+1)}{kT}}

Lets solve an example:

Solution:

Note: The value of Boltzmann's constant is approximately 1.3807 x 10 -23 joule s per kelvin (J. K -1 ).

0 Dislike
Follow 0

Please Enter a comment

Submit

Other Lessons for You

Computer
1. What is a Computer? Ans. Computer is an electronic device which can input data, process data and output meaningful information. 2. What is Data? Ans. Data is meaningless information. Your e-amil...

Multiple Choice Question On Material Science
Multiple Choice Questions: 1. First material known to be used by man: (a) Cotton (b) Bronze (c) Iron (d) Rock 2. First metal known to be used by man:(a) Iron (b) Bronze (c) Silver (d) Aluminium 3. Which...
G

GRATIFY

2 0
0

Biology Query
The mechanism of alternative splicing: During alternative splicing, cis-acting regulatory elements in the mRNA sequence determine which exons are retained and which exons are spliced out. These cis-acting...
S

Subimal Banerjee

0 0
0

Malware
Malware Vivek like any other teenage boy loves to play online games on his phone. He usually downloads the free games available at the trusted market zones. One day, he got an SMS “Click...

Electric field
ELECTRIC FIELD : The space or region around the charge in which its effect can be felt is called electric field. Electric field is denoted by 'E'. In other words, if we...
D

Durga S.

0 0
0
X

Looking for BSc Tuition Classes?

The best tutors for BSc Tuition Classes are on UrbanPro

  • Select the best Tutor
  • Book & Attend a Free Demo
  • Pay and start Learning

Take BSc Tuition with the Best Tutors

The best Tutors for BSc Tuition Classes are on UrbanPro

This website uses cookies

We use cookies to improve user experience. Choose what cookies you allow us to use. You can read more about our Cookie Policy in our Privacy Policy

Accept All
Decline All

UrbanPro.com is India's largest network of most trusted tutors and institutes. Over 55 lakh students rely on UrbanPro.com, to fulfill their learning requirements across 1,000+ categories. Using UrbanPro.com, parents, and students can compare multiple Tutors and Institutes and choose the one that best suits their requirements. More than 7.5 lakh verified Tutors and Institutes are helping millions of students every day and growing their tutoring business on UrbanPro.com. Whether you are looking for a tutor to learn mathematics, a German language trainer to brush up your German language skills or an institute to upgrade your IT skills, we have got the best selection of Tutors and Training Institutes for you. Read more