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Title:Vibracijski in rotacijski prehodi enostavnih molekul : magistrsko delo
Authors:ID Orel, Matic (Author)
ID Bračko, Marko (Mentor) More about this mentor... New window
ID Bren, Urban (Comentor)
Files:.pdf MAG_Orel_Matic_2022.pdf (3,98 MB)
MD5: 1BA7FDC0C0F1AC5487FAB549955B2261
PID: 20.500.12556/dkum/de08df53-bcfe-4872-87ce-b7e779a9fb3c
 
Language:Slovenian
Work type:Master's thesis/paper
Typology:2.09 - Master's Thesis
Organization:FKKT - Faculty of Chemistry and Chemical Engineering
Abstract:V magistrskem delu obravnavamo rotacijske in vibracijske prehode molekul. Molekulsko dinamiko bomo opisali z analitiˇcnimi metodami, zato se bomo omejili na dovolj preproste molekule z dobro definirano simetrijo. Pravilnost izraˇcunov bomo preverili z obiˇcajnimi raˇcunalniˇskimi orodji, ki se v kemiji uporabljajo za prikaz in opis molekulske dinamike. Namen magisterskega dela je bilo preveriti, do kam lahko pridemo z analitiˇcnim pristopom pri obravnavi infrardeˇce spektroskopije manjˇsih molekul z enostavnimi simetrijami. Izkazalo se je, da je to izredno zahteven postopek, kateri zahteva tako znanje kemije kot tudi teorije grup. V tem delu smo predstavili ter uporabili nastavke za izraˇcun najpomembnej ˇsih parametrov, kateri vplivajo na intenzitete v infrardeˇcem spektru, t.j. spinska statistiˇcna uteˇz za dane irreducibilne specije spinske valovne funkcije ter energije rotacij oz. vibracij ˇzeljene molekule. S pomoˇcjo ter dveh parametrov smo pri dani temperaturi zapisali Boltzmannovo enaˇcbo infrardeˇcega spektra ter s prikazali odsek le-tega. Primera vode ter CHF3 sta bila skrbno izbrana zaradi razliˇcnih simetrijskih lastnosti (asimetriˇcni vs. simetriˇcni rotor, 2 protona vs. 3 protoni itd.) ter zaradi relativne enostavnosti izraˇcunov. V zakljuˇcku smo predstavili ˇse dodatne aspekte analitiˇcne analize, katerim bi se lahko posluˇzili t.j. spremembe simetrije molekule ob substituciji tipa atoma, teˇzave z relativistiˇcnim nadaljevanjem ter karakterizacija elektronske valovne funkcije preko LCAO ansazt-a.
Keywords:Molekulska dinamika, vibracije in rotacije molekul, molekulska simetrija, infrardeˇca spektroskopija, resonanˇcne frekvence, raˇcunski program Gaussian
Place of publishing:Maribor
Place of performance:Maribor
Publisher:[M. Orel]
Year of publishing:2022
Number of pages:1 spletni vir (1 datoteka PDF (XVIII, 100 f.))
PID:20.500.12556/DKUM-81562 New window
UDC:544.15:544.174.2(043.2)
COBISS.SI-ID:108944899 New window
Publication date in DKUM:20.05.2022
Views:912
Downloads:85
Metadata:XML DC-XML DC-RDF
Categories:KTFMB - FKKT
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Licences

License:CC BY-NC-ND 4.0, Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
Link:http://creativecommons.org/licenses/by-nc-nd/4.0/
Description:The most restrictive Creative Commons license. This only allows people to download and share the work for no commercial gain and for no other purposes.
Licensing start date:15.04.2022

Secondary language

Language:English
Title:Vibrational and rotational transitions of simple molecules
Abstract:The purpose of this master’s thesis was to verify to what extent an analytical approach in dealing with infrared spectroscopy of smaller molecules with simple symmetries is possible. This has proven to be an extremely demanding process that requires both knowledge of chemistry and group theory. In this work we presented and used group theoretical and quantum mechanical methods to calculate the most important parameters which determine the intensities in the infrared spectrum, i.e. spin statistical weights for given irreducible representations of spin wave function and the rotational/vibrational energy of the desired molecule. Using these two parameters, we wrote down the Boltzmann equation of the infrared spectrum at a given temperature and showed a section of it. The examples of water and CHF3 are carefully chosen because of the different symmetry properties of both molecules (asymmetric vs. symmetric rotor, 2 protons versus 3 protons, etc.) and because of the relative simplicity of the calculations. In the conclusion cahpter, we presented additional aspects of analytical analysis that could be used, i.e. changes in the symmetry of the molecule upon substitution of the atom type, problems with relativistic continuation, and the characterization of electron wave functions via the LCAO ansazt.
Keywords:IR, molecular spectroscopy, irreducible representation, rotations and vibrations of molecules, nuclear spin.


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