For the cation Ti?*: which of the following statements is false? Given: Ti (Z = 22) * The free ion has 45 microstates. The ground state term of the free ion is 3F,. 2 The metal ion has a d? electronic configuration. The spin, S, of the ion is equal to 3.
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- (a) Calculate the energy difference between the two spin states of 1H and of 13C in a magnetic field of 6.8 T. 1H 4.0 1.91e-29 X J 13C 4.80e-33 X J (b) What is the precession frequency of a 'H nucleus at this magnetic field? Of a 13C nucleus? 1H 4.0 290 MHz 13C 4.0 73 MHz (c) At what magnetic field do protons precess at a frequency of 300. MHz? [4.0 7.043. Two particles with spin states |2 - 2) and 1 1), are placed in a box. Identify the possible values of total spin s that would be measured and the probability of each.2. A combined system is formed from two separate systems of N localized atoms of spin-1/2 each. While the two systems remain separate (a) Find the number of configurations which give a total spin excess S = S, +S, where S, and S, are the excess spins of the separate systems. (b) For what values of S, and S, is this number of configurations maximum?
- 1-A:-Calculate the energy and wave-length of the photon absorbed when a "Hg"Cl molecule (r. 2.23°A) makes the rotational transition J-0-J-1 and J-1->J=2. B:- In what region of the electromagnetic spectrum are these lines found? 2-Suppose that the equilibrium separation in the '11"CI molecules is the same and equal to 1.27°A. Compute for each molecule A:-The constant 13. B:- The energy of the first two excited rotationa levels. C:-The frequencies and wave length corresponding to the transition J-0-J-1 and J-1-J-2.(d) By considering a nuclear spin I = 3/2 of a potassium 3°K atom, obtain all possible hyperfine states F. Together with all the fine states, j, you obtained in (a), draw all the fine and hyperfine level splitting together.INORGANIC Magnetic susceptibility: Compare the two compounds spin state- how can these two compounds be compare and contrast? Product µeff µs [(Me5dien)CoCl2 4.43 BM 3.87 BM [Me5dien)Co(SCN)2] 4.26 BM 3.87 BM
- Consider the d' electron configuration of a free ion: a) Calculate the spin multiplicity b) Calculate the maximum value of ML, and deduce the value of L. c) Based on your calculation of S and L what is the term symbol of the d“ free ion?The bond in 'H*Cl molecule and Ar2 is characterized by the force constant k 480 Nm-1 and k = 0.160 Nm-1. Assume that the molecule is described by a quan- tum harmonic oscillator. • What are the zero-point energies and the uncertainty in the bond length for these two molecules? • What will be the effect of deuteration (i.e., exchanging 'H with 2H) and the isotopic exchange of 35CI with 37CI on the zero point energy respectively if the force constant remains the same? Based on your result, determine the resolution of the spectrom- eter in cm- respectively in order to see the change by these two isotopic exchange and compare.3. Hydrogen atoms (ignore spin) are first at a basic state. At the time t > 0, atoms experience the electric field Ae-bt with A> 0 and b>0, and is a unit vector in the z direction. Determine the probability of transition to the first excitation state at the time t → ∞.
- -1 b) In IR spectrum of CO a strong vibrational transition is observed at 2143.29 cm¹ with a weak transition at 4259.66 cm. What is vibrational wave number and anharmonicity constant CO?Three of the term symbols that correspond to a nd2electron configuration are 1S, 3P, and 3 Rank these in terms of increasing energy. 1S < 3F < 3P 3F < 3P < 1S 3P < 3F < 1S 1S < 3P < 3F What is the multiplicity for a state that has two unpaired electrons with parallel spin? 0 1 2 3 What is a selection rule for vibrational (IR) spectroscopy? The angular momentum must change by a value of ±1 (? = ±1) The change in vibrational state is ±1 (? = ±1) The molecule must have a permanent dipole The molecule must be anisotropic4. It is given the ratio is at A/B=24.00 a Tanabe-Sugano diagram for a d' system. Please answer the following questions. a) Write all transitions b) Determine spin-allowed transitions c) Calculate the value of B and A for the Cr3+ ion in [Cr(H2O)6)]³+ if v1=17000 cm-1, v2=24000 cm-1 and v3=37000 cm-!.