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hw 9 with solutions

4 consider the h 79 br molecules its equilibrium bond

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4) Consider the H 79 Br molecules. Its equilibrium bond length is 141 pm. Calculate the rotational constant, B. Also consider a J=2 to J=3 transition. What wavelength in a microwave spectrum will this transition be observed at? 5) Consider the symmetric rotor NH 3 with two defined moments of inertia; I=4.41x10 -47 kg m 2 and 2.81x10 -47 . i) Which I value is associated with the principal axis? ii) What if the value of the rotational constant A and B? iii) Calculate the lowest nonzero rotational energy of NH 3 . iv) What is the next lowest nonzero rotational energy? 6) Consider NO that has a bond distance of 115 pm. Where will the first 3 lines of the pure rotational spectra of this molecule appear?
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cHi 2-3 '"2- - - Pr--o'b\.c. .- S:c.+ :tt:- /0 ([) ~ \) N\--\~ I =- 4. 'f ,)( ",- 't'1 ~ 'L-- ;::: 2 ~~, 'JC. (0- Y"1- ~ --~ ;.) }J't.1.~ ~~ o'o\o 'tc- Sc \ ..z- , I > .:T.L- 11c. .",-,,-<- 1;, -:::: lI.'" I >t:: (O -.,~ ~J . "2. 4- 2- - -"t;f -I-~ =- 2.c?,)({() ~ ,W\L r--., - -"'\ 1\ (fj, f.z~xIO->" )")/2""-) ..It. .A. J -- - ~~~~'(. .I --'::~~,. J- -~ ., 1+ ;;::. <{(7L.:T,( - ':Irr (2. .Cf~)(lo6'"'/s.)( 4. '-I!>C.IO-'-J9 t:J't"-~) :: t~".f,5'""~_\:: 6.3(5 c;' 6 '=:. --:B:.-- - (b . ~ ~ ~ Iv-)""' T. ~ 12 TT) I.f IT c. r. .J- - e--- -:- lIT[ (1.~~~'~ ""'/S(2,.81)(.'(I"'f~) I -I --:: I () ~,()~ 1\'\ - =- / () I 00 c. IIA AA;') t(;;,wt.-~+ 't'\oV'- Q~r-o l5 T-= ( lA.~ k:::-' ) S""c. .~ r--., F(T,KJ-='" 8T(T+I) + (A-.I3.J/;:::"2. .. ~ > 5>-/\
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4 Consider the H 79 Br molecules Its equilibrium bond...

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