Question

1) Assuming that a diatomic molecule can be approximated by a rigid rotor with a inertia momen- tum I = 10–38g cm², calculate the rotational frequency of the radiation that will cause a transition from the J = 1 state to the J = 2 state. In which region of the electromagnetic spectrum this transition will be found?

Answer 1

somhion & Geven ; I = 1038 gem? 2103 of 13 ugy (167 m² h Planck's constant Rolational constant B2 9210 q moment of Suessica LASB 6626x1034 Geg m² 37/3 e speed of light 8 x&•14) x (10738, 109 Cugme) *(x 10* m/) => B = 0.028 x 103 m 2) B & 002 8 x 10 cont = 0.280 cm" Now, solational frequency of transition from S=1 to 922 is given by Warenumber ūI+1 = 2B (J+2) of transition s lower lever = 2 XC0-280 cm') (4+1) m 80 cm 100 = 1 12 eml ..v (frequency) of sadiation a cre 2 (3 x 100 cm/) (riz enst) 2 3 36 x 10 ml 2 3 36 x 200 Hz Ii falls in the Microware region (3x10" - 3x102 Hz)