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## calculate bond length from rotational spectrum

Why is the second way correct and where did B come from? Making statements based on opinion; back them up with references or personal experience. Use MathJax to format equations. The method they are using seems to be looking at the separation between two different transitions to determine $B$. Checking with either transition should give the same result as using the spacing between the transitions. So to do this I assume I would use one frequency value and one J value? We can see in the figure below that $\Delta\nu=2B|J_2'-J_1''|$ or that the separation between transitions depends on difference between the $J$ of the higher state of the higher energy transition and the lower state of the lower energy transition. How do we know neutrons and electrons are distinct particles on the same scale as protons? Here, you are looking at two different transitions: $$J_1'=4\to J_1''=3 \text{ with } \nu_{4\to 3}=\pu{15.365cm^-1}$$ $$J_2'=9\to J_2''=8 \text{ with } \nu_{9\to 8}=\pu{38.356cm^-1}$$. Why use "the" in "than the 3.5bn years ago"? Forecasting Prices vs Returns by Deep Learning. Co-authoring a paper with a persona non grata. Why is Soulknife's second attack not Two-Weapon Fighting? Why do the mountain people make roughly spherical houses? Finding intersections of features in one line layer using QGIS, Inverting lower triangular matrix in time n^2. So to do this I Why is the way I thought not correct? Estimate the bond length of 12C16O (pure rotational spectrum) given J''=3 (15.356 cm-1) and J'=9 (38.356), I understand that the first step is the calculate the rotational constant. $J''$ denotes the lower energy state in a transition and $J'$ denotes the higher energy state. One reason you might use the spacing to compute $B$, rather than individual transitions, is that if you have any systematic error in measuring transition frequencies, taking the difference will cancel out this error. By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy. site design / logo © 2020 Stack Exchange Inc; user contributions licensed under cc by-sa. Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. Why does the C–C bond have extremely weak absorptions? Was the theory of special relativity sparked by a dream about cows being electrocuted? Because ˜B is a function of I and therefore a function of l (bond length), so l … MathJax reference. You could also get $B$ from the individual transitions, but you have used the wrong formula. It only takes a minute to sign up. By using our site, you acknowledge that you have read and understand our Cookie Policy, Privacy Policy, and our Terms of Service. Is it ok to place 220V AC traces on my Arduino PCB? Why were the Allies so much better cryptanalysts? Who can use spell-scrolls done by a bard using their 'Magic Secrets' ability? In spectroscopy, is it possible for the sample to be excited multiple times? Asking for help, clarification, or responding to other answers. And solved for B this way and they get the correct answer. What is the benefit of having FIPS hardware-level encryption on a drive when you can use Veracrypt instead? Using water as a high density storable hydro-lox propellant. $E_J=BJ(J+1)$ is the energy of the rotational state $J$, but you are given the energy of the transitions, which can be computed as $\nu=2B(J''+1)$. Is there a reason to not grate cheese ahead of time? Are my scuba fins likely to be acceptable "personal items" for air travel? To subscribe to this RSS feed, copy and paste this URL into your RSS reader. Thanks for contributing an answer to Chemistry Stack Exchange! How can I plot and indicate when the function is positive or negative? To learn more, see our tips on writing great answers. What could Trump hope to gain from a *second* Georgia "recount"? Computing accurate vibrational and rotational contributions to the free energy of transition states and loosely bound complexes, experimentally determine oxidation state of Iron compound. How do we obtain the π molecular orbitals for allene via Hückel theory? Chemistry Stack Exchange is a question and answer site for scientists, academics, teachers, and students in the field of chemistry. rev 2020.11.24.38066, The best answers are voted up and rise to the top, Chemistry Stack Exchange works best with JavaScript enabled, Start here for a quick overview of the site, Detailed answers to any questions you might have, Discuss the workings and policies of this site, Learn more about Stack Overflow the company, Learn more about hiring developers or posting ads with us, $$J_1'=4\to J_1''=3 \text{ with } \nu_{4\to 3}=\pu{15.365cm^-1}$$, $$J_2'=9\to J_2''=8 \text{ with } \nu_{9\to 8}=\pu{38.356cm^-1}$$, Determine bond length via rotational spectroscopy, MAINTENANCE WARNING: Possible downtime early morning Dec 2/4/9 UTC (8:30PM…, “Question closed” notifications experiment results and graduation, Rotational spectroscopy application of different equations.