Using the 1 dimensional particle in a box approximation for 1,3,5,7-octatetraene (H2C=CH-CH=CH- CH=CH-CH=CH2), what wav...
Calculate the pi-network in 1,8-diphenyl-1,3,5,7-octatetraene, C20H18, using the particle in a box model. To calculate the box length, assume that the molecule is linear and use the values 135 and 154 pm for C=C and C-C bonds. The electrons in sigma bonds are localized, while eight electrons in pi bonds are delocalized in a box between the phenyl groups (i.e., phenyl groups are not included in the pi-network). A) What is the wavelength of light required to induce a transition...
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
The wavefunctions for a particle in a box are given by: ψn(x) = (2/L)^1/2 sin(nπx/L), with n=1,2,3,4. . . . Let’s assume an electron is trapped in a box of length L = 0.5 nm. (a) Light of what wavelength is needed to excite the electron from the ground to the first excited state? (b) Will that wavelength increase or decrease, if you exchange the electron with a proton? Why?