Question

The electronic spectrum of the molecule butadiene, CH2=CH-CH=CH2, can be approximated using the one dimensional particle-in-a-box if one assumes that the conjugated double bonds span the entire four-carbon chain. If the electron absorbing a photon have wavelength 2170 Angstroms is going from the level n = 2 to the level n = 3, what is the approximate length of the C.He molecule? (The experimental value is -4.8 Angstrom.) length 2 5 .74*10-10

Answer 1

I Giren Evergy = 2170 A 2170 x 1510 m n=2 - n=3 for 10 box = 924² Energy = he 8m22 Aloo Equalize bath of them b12 1 = (angh smc hiplancte constant = 6:626x1024 Is m= 9.1 x 10 31 kg. Speed, c= 3x1048 mis = ome (3-29)6.626X1634x 21701010 8 9.14 1031 x 3 x 108 5x 6.626 X 10 34 x 21704 10 yo 8 x 9:18 34 1023 5*6.626 X 2170 10-21 8x9.13 Ics Scanned with 329.176 *16-21 CamScanner

329.1768 16-21 1= 1329,196 % 1021 m 5.797x10-10 5.74 Å 11 = cccarthed with Scanner