The first three lines in the R branch of the fundamental...

The first three lines in the R branch of the fundamental vibration-rotation band of H35Cl have the following frequencies in cm-1: 2906.25 (0), 2925.78 (1), 2944.89 (2), where the number in parenthesis is the J values for the initial level. What are the values of ??e, B?'v, B?''v, B?e and ??e using the harmonic oscillator – rigid rotor approximation?

Transcript

00:01 Energy here we have energy that is t and that is vj rotational rotational and plus vibrational vibrational vibrational here this is the dependence on j here vj only dependence on j and f is equal to j plus gbj selection rule selection rule that is delta b is equal to plus minus 1 and delta j is equal to plus minus 1 delta j delta j is equal to j 1 minus j 2 then delta v is equal to v 1 minus b 2 of dash dash 1 or dash 2 so here if you draw the line die lines here we have the lines through the lines here we have the r and here we have the v dash is equal to 1 and here we have the v double dash is equal to 0 and this is fundamental fundamental then here we have the value that is the j dash is equal to j double dash plus 1 here we have the j j dash is equal to j double dash here we have in the third line j dash is equal to j dash minus 1 and then we have the j dash 2 plus 1 and here we have the j dash 2 so line position if we talk about the line position line position we have j is equal to t 1 t 1 minus t dash 2 and then here we have the t here the value is t v 1 j 1 minus t v double dash or j double dash so for r branch for r branch r branch it is delta j is equal to plus minus 1 so r branch here we talk about the r branch that is r v double dash and j double dash is equal to v naught plus 2 bv 1 plus 3 vv dash minus vv double dash j double dash plus vv 1 minus v double dash then j double dash 2 so where the j double dash are initial value here the g double dash j double dash are initial initial values values and v v 1 is equal to v e plus minus delta e then here we have the v 1 plus half and v v double dash is equal to v e minus sorry alpha e then v double dash minus half now given for now we have the given values given for given for j double dash is equal to 0 is equal to r v double dash then j double dash and it's we have a value 2906 .25 per centimeter then we have the value g double dash is equal to 1 and here we have the value r v double dash or j double dash…

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