For Cr3+ and Nd3+ list the following terms
1. dn or fn
2. L
3. S
4. 2S+1
5. Splitting of Term Symbol in Oh symmetry
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For Ce3+ and Co3+ list the following terms 1. dn or fn 2. L 3. S 4. 2S+1 5. Splitting of Term Symbol in Oh symmetry
a)List the L-S terms that arise from the (ns)(np)2 and(ns)2(np) configurations. [HINT: (np)2 gives 1S, 3P, 1D; to get sp2 couple an s electron to these three states.] b) List the electric dipole allowed transitions between terms of the sp2 and s2 p configurations. (Ignore fine-structure splitting of L-S terms into J-states.)
3. The sequence (Fn) of Fibonacci numbers is defined by the recursive relation Fn+2 Fn+1+ F for all n E N and with Fi = F2= 1. to find a recursive relation for the sequence of ratios (a) Use the recursive relation for (F) Fn+ Fn an Hint: Divide by Fn+1 N (b) Show by induction that an 1 for all n (c) Given that the limit l = lim,0 an exists (so you do not need to prove that...
Consider the reaction: 2 Cr3+ (aq) + 3 104" (aq) + 10 OH(aq) --> 2 CrO42-(aq) + 3 103" (aq) + 5 H2O(1) For a given set of conditions, the rate of disappearance is of OH is (7.90x10^-4) mol-L-1.5-1 What is the rate of appearance of CrO42-(aq) in units of mol-L-1. s-l? Note: The red text below simply indicates that your answer must be expressed in normal scientific notation. Note: Your answer is assumed to be reduced to the highest...
2s 1 x 5 (s - 3)(s + 4) Step 3 Partial fraction decomposition can now be used to write L{y}, such that all terms have linear denominators, which is required to move forward. А B + 2s - 5 (s - 3)(8 + 4) S 3 S + 4 = 2s - 5 Als + 4) + B(5 - 3) Now, solve for A and B by utilizing the real roots of the denominator, 3 and - 4. Doing...
dn 6. Use the theorem, L {t" f(t)} = (-1)" den! F(s), to find each of the following: (a) L {t cos 2t} (b) L {t sint}
Consider the following reaction at 298K. Cr3+ (aq) + 3 Cr2+ (aq) Cr (s) + 3 Cr3+ (aq) Which of the following statements are correct? Choose all that apply. The reaction is reactant-favored. Eocell > 0 K > 1 n = 2 mol electrons delta Go > 0
find L^-1 {4s/s^2 + 2s -3}
4s Find L s2 + 25 - 3 5 -3t (write 5/6 by 6' , e^{-3t} bye and sin(2t) or cos(3t) by sin(2t) or cos(3t)).
find L^-1 {2s+4 / s(s^2+4)}
2s+4 Find L s(s2+4) 5 -30 (write 576 by 6 e^{-3t} by e and sin(2t) or cos(3t) by sin(2t) or cos(3t).
2. Use the property f(t) = L-1 {r(s))-(-1)"L-1 {F(n)(s)} (-t)n and choose n = 1 to perform the following inverse Laplace transform L-1 (F(s)): (1). F(s)=ln-s-3 V s + 1 (Answer:- (e3t-le-t) ) (2). F(s) - arctan(2s) (Answer: tsin )
2. Use the property f(t) = L-1 {r(s))-(-1)"L-1 {F(n)(s)} (-t)n and choose n = 1 to perform the following inverse Laplace transform L-1 (F(s)): (1). F(s)=ln-s-3 V s + 1 (Answer:- (e3t-le-t) ) (2). F(s) - arctan(2s) (Answer: tsin )