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.

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, N_J/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 Like 0 Dislike

Follow 0

Other Lessons for You

Nomenclature For Organic Compounds

In organic chemistry nomenclature is one of the important topic we come across. This is introduce for studnets from school level. However we still find studnets making mistake in these types of easy questions....

Pratiksha R.

0 0

How to Become a Self Made Digital Marketing Expert?

Applying Digital Marketing on a Small Scale Choose a topic you are passionate about and start a blog about it. Cost: Approx $50 per year for domain and hosting. Learn a little about SEO and write SEO...

Geek M.

0 0

Kinetic theory of gases

Vaishali M.

0 0

Test OF Knowledge

A balloon containing an ideal gas is initially kept in an evacuated and insulated room. The balloon ruptures and the gas fills up the entire room. Which one of the following statements is TRUE at the end...

Rahul Kumar

0 0

Overcoming Mental health Strategies in Quarantine – Parents vs Children

As Corona is spreading in the almost entire world, the situation of parents/ families is very critical as such cases keep them worrying about their children and other family members. For Parents, this...

Chetna S.

4 0

Find BSc Tuition near you

Looking for BSc Tuition ?

Learn from Best Tutors on UrbanPro.

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you

BSc Tuition Questions

How do I get 90+ in class 12 physics without coaching?

10 Answers

How to make BCs electronics easy to understand?

15 Answers

Can I get Bsc Maths tuition in Kochi ?

14 Answers

Will coaching for the IIT-JEE in Class 11 affect the Class 12 boards?

19 Answers

Who is the best physics coaching teacher in Ghaziabad for class 12 board study?

5 Answers

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

I am a Student I am a Tutor
Name*	Please enter your full name. Please enter institute name.
Email*	Please enter your email address.
Phone*	Please enter a valid phone number.
Location*	Please enter a pincode or area name.
City*	Please enter city name.
Category*	Please enter category.
Gender*	Male Female Please select your gender.
Email ID/ Mobile No.*	Please enter either mobile no. or email.
Enter Password*	Please enter OTP Please enter Password Sorry, this phone number is not verified, Please login with your email Id.