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- Use the Tanabe-Sugano diagram to indicate the electronic transitions for the configurations below (a) d3 (b) d8For the dye 1,1'-Diethyl-2,2-carbocyanine iodide: gamo, CH₂ The use of the PIB theory indicates that the lowest energy of electronic transition between HOMO and LUMO orbitals is given by h² (P+4) he h² ΔΕ (N+1) amle (P+3)² 8mL2 Assuming the value of lcc = 149 pm, what would be the estimated wavelength of the energy of excitation needed to promote an electron from the HOMO electrons to the LUMO orbital? [c= 2.98 x 10 m/s, h = 6.626 x 10¹/s, and m= 9.109 x 10-¹¹ kg]Predict the ground-state electronic configuration of (a) a C atom. (b) a Ti2+ ion. and (c) a Mn2+ ion.
- Predict 31PNMR spectrum of cis-[Pt(PR3)2Cl2]. Given that phosphorus-31 (100% abundant), platinum-95 (33% abundant), all have a nuclear spin quantum numbers of (I = ½)Prove the following identities. (a) [t, p²] = 2ihp (b) [p, ²] = -2ihâPredict what you expect to observe in the EPRspectrum of a species in which an unpaired electroninteracts with one 14N nucleus (I = 1) and one 1Hnucleus (I = 1/2) if the hyperfine coupling constantsare (a) A(14N) = A(1H)=30 G; (b) A(14N)= 30 G,A(1H)= 10 G.
- What terms (expressed as S, D, etc.) can arise from the [He]2s22p 13d1 excited configuration of carbon?15. The far-infrared spectrum of HI consists of a series of equally spaced lines with Δν(bar) = 12.8 ^-1 cm. What are (a) the moment of inertia and (b) the internuclear distance?Singly-ionized carbon atoms are accelerated through 1050 V and passed into a mass spectrometer to determine the isotopes present. The magnetic field strength in the spectrometer is 0.180 T. (a) Determine the orbital radii for the 12C and 13C isotopes as they pass through the field. cm (12C) cm (13C) (b) Show that the ratio of the radii may be written in the form m1 = V by verifying that your radii in part (a) satisfy this formula. m1 m-
- An experiment called the Stern–Gerlach experiment helpedestablish the existence of electron spin. In this experiment,a beam of silver atoms is passed through a magnetic field,which deflects half of the silver atoms in one direction andhalf in the opposite direction. The separation between thetwo beams increases as the strength of the magnetic fieldincreases. (a) What is the electron configuration for a silveratom? (b) Would this experiment work for a beam of cadmium(Cd) atoms? (c) Would this experiment work for abeam of fluorine (F) atoms?2. Predict the energy of the 2p electrons in K. [k = 13.6 ev and Szp = 2.579 + 0.333(2p - 1) – 0.0773(3s) - 0.0161(3p + 4s) - 0.0048(3d) + 0.0085(4p)]Part 1: Using the information provided below, derive an expression to show that the energy of an electronic transition measured from UV-VIS spectroscopy is a function of the wavelength of the light absorbed using the equations below. ν λ = cΔE = hν where E is the energy for the transition, ν is the frequency of light, λ is the wavelength, c and h are the speed of light and Plank's constant respectively (both constants). Part 2:From the derived equation, as the absorption maximum (λmax) for a molecule increases to a longer wavelength (for example from 300 to 700 nm), how does this affect the energy for the electronic transition?