[SOLVED] Molecular Spectroscopy

1. Use the ladder operator formalism for harmonic oscillator to derive the selection rule on??? ?|(?? ? ???? ) ?? |??”? for arbitrary n.2. For a heteronuclear diatomic molecule AB, the dipole moment function in the neighborhood ofR=Re is given by??(??) = ?? + ??(?? ? ???? ) + ??(?? ? ???? ) 2 + ??(?? ? ???? )3In which a, b, c and d are constants. Treating this molecule as a harmonic oscillator (using ladderoperator), expand dipole moment in Taylor series around R2 and then calculate the relative intensityof v=0->1, v=0->2 and v=0->3 transitions in terms of these constant and harmonic oscillatorconstants ? and ?.3. (McHale chapter10. Problem7) A general harmonic potential function for water is?? = 12 ???? (???1)2 + 12 ???? (???2)2 + 12 ???? (?????)2 + ?????? ???1???2 + ?????? ?????1??? + ?????? ?????2???The last three terms contain off-diagonal force constants, while the first three are diagonal. Inmatrix form, this can be expressed as 2V=RTFR, where R=(???1 ???2 ???) is the vector whoseelements are the internal coordinates. Find the symmetry coordinates S1, S2 and S3 for water,and the diagonal force constant f which permits the potential energy in form written STfS4. For raman spectroscopy, show that the following equation leads to a symmetric tensor, ?????? =??????, in the limit ??0 ? ?????? .(?????? )???? = 1? ?[???|????|??????|???? |?????0 + ?????? + ????? ????|???? |??????|????|?????0 ? ?????? ? ????? ]

Don't use plagiarized sources. Get Your Custom Essay on
[SOLVED] Molecular Spectroscopy
Get a 15% discount on this Paper
Order Essay
Quality Guaranteed

With us, you are either satisfied 100% or you get your money back-No monkey business

Check Prices
Make an order in advance and get the best price
Pages (550 words)
*Price with a welcome 15% discount applied.
Pro tip: If you want to save more money and pay the lowest price, you need to set a more extended deadline.
We know that being a student these days is hard. Because of this, our prices are some of the lowest on the market.

Instead, we offer perks, discounts, and free services to enhance your experience.
Sign up, place your order, and leave the rest to our professional paper writers in less than 2 minutes.
step 1
Upload assignment instructions
Fill out the order form and provide paper details. You can even attach screenshots or add additional instructions later. If something is not clear or missing, the writer will contact you for clarification.
Get personalized services with My Paper Support
One writer for all your papers
You can select one writer for all your papers. This option enhances the consistency in the quality of your assignments. Select your preferred writer from the list of writers who have handledf your previous assignments
Same paper from different writers
Are you ordering the same assignment for a friend? You can get the same paper from different writers. The goal is to produce 100% unique and original papers
Copy of sources used
Our homework writers will provide you with copies of sources used on your request. Just add the option when plaing your order
What our partners say about us
We appreciate every review and are always looking for ways to grow. See what other students think about our do my paper service.
Business and administrative studies
Thank you very much for your help.
Customer 452861, September 16th, 2022
Customer 452813, June 19th, 2022
Social Work and Human Services
Excellent Work!!!!
Customer 452587, November 29th, 2021
The paper is everything I needed and more. I will add a title and a cover page to it. Other than that the paper turned out excellent.
Customer 452885, October 17th, 2022
Social Work and Human Services
Great Work!
Customer 452587, August 31st, 2021
Always a wonderful experience!
Customer 452453, February 23rd, 2023
This has everything that was in the rubric. Thank you!
Customer 452707, May 29th, 2022
I appreciate all the hard work. Thank you!
Customer 452525, August 13th, 2021
Customer 452813, June 19th, 2022
Customer 452813, July 5th, 2022
Top notch quality!
Customer 452453, February 16th, 2023
Social Work and Human Services
Great Work!
Customer 452587, September 16th, 2021
Enjoy affordable prices and lifetime discounts
Use a coupon FIRST15 and enjoy expert help with any task at the most affordable price.
Order Now Order in Chat

Ensure originality, uphold integrity, and achieve excellence. Get FREE Turnitin AI Reports with every order.