Question

(30) Given the equilibrium bond length of CO is 1.138, explore population fractions (Eq. 2) of the ground state and first 15 pure rotational excited states relative to the ground state (where {=0). Mathematica is recommended. Do this at 298 K and at 100 K. Comment on how the results differ compared to part a).

Answer 1

Redwood of the mass is co molecule. 199.mil 16 9.1.4 (12414) amin : 12x16 a.m.ua kq Xox 16 x 1,661 X10 host :48 * 1.661x10**** Kq 11.389 x 10 lo 1.132 x 10 olika is the lens of leo + 1.138x1026 kg * force constant : 1860 illon * Prequency of Wilevation of the Molecole, e re into 1960 all " 1138 *10*9*kq :. *40.498 xlola /ses 6.43436 x 10" I see .: frequency of Orlevation is b: 6.43436.xlo/sec. as Scanned with CamScanner

=> Dilevational frergy, for hrose (uud), U:0,l, Qinansi Eground hose lot hx 6.434 %10'3) ( *6.636x1034x 6.434 X1013)) 21.315 x comel g. .. the thingy of dilerational is = 21.315x100 J. * E(0:1) = (144) h hoose Dose 13 -34 ..626x10 X 6.434 x 10 :63.947x10 J. DS ...0, : 63.942 xiom'J. x € (0:2) = (ott) hoses hoose =106.575 xlorisi Se 10 ::106.575 x tomos * €(0:3) = (3+1) hoose a huose 2149.205x10-e's. 21 . . : 149.005 x100's. Scanned with CamScanner

Here Assome for 9:298k. Kli: 1.3867x1003 P x298 3411.4486x10235. x 1023-1 37 ultime -0.430x1000g. - if State is. Number the population of ground then -(ful-fo=o) kg). 20 ale Noé 40.632 x 100 mm.ua.. Cor] No Br10.359 : No. 3:17xions Nyal Not : N *3.17 x 1015 Now, the Jalues . -(Eu: V-fo=0) of My = Q = No e KB de 85.36*10*2.43x1080 Scanned with CamScanner

.No: U: No cib.al No v1.01x10^9. ܐܘ . . ܝ . . : ܕ ܕܝܠܝ ܙܝ ܕܚܙܝܠ ܠܢ ܂܂ KBA 389x10x2143 x 10 20 No 8:31.07% Nox 3:181x10" No* 3:187 xloll, ܩܐ (. ;_ . >1 ܘܘܢ . KB9 = (1.3801 x 108x100) J. : 1.3807 X10121]. gol = 0.724 x 10 42.63x10 0.124*10 tlou! 30.865 Norlinde Nox 3.937 x 10" [or) cs Camise . Noil Scanned with : No X 3.93 CamScanner VO *3.937 X1oY.

* Wiel 21 .85.26x 10-21 e x 0.124 x 10 Endo. 8 61.738 [or] No:2 iMax1.5 S X 10^* *N=8 = No 127.89 x 10-21 +0.724x1021 =NB €92.592 W6*6.138x10141 201) No=3 ul. : Nox6.132 tlo of the the population ... Assume that no is ground state, Scanned with CamScanner