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
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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
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...
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...
Which of the following metals is able to reduce
Br2
2Br- the best?
1. Ce3+ (aq)
2. Cu (s)
3. Co (s)
4. MnO2 (in a basic solution)
Write the products of the following acid-base reactions: 1.) CO3 (2-) (aq) + H3O (+) 2.)NH3 (aq) + H2O(l) 3.) NaOH(aq) + HCl(aq) 4.) HCl(aq) +H2O(aq) 5.)NaOH(aq) +H2O(l)
I. BH, THF 2. HO, H-O2 H2, Lindlar catalyst 3 (CH3)2S 1. NaNH2 2. CHI CE3ー/ヘ).all CI ca tl Cl CHSCHOH. CH CH2OH HBr 45° HBr 78°C
Consider the following precipitation reaction: 2 K3PO4 (aq) + 3 Co(NO3)2 (aq) ? Co3(PO4)2 (s) + 6 KNO3 (aq) What volume of 0.222 M K3PO4 (aq) in milliliters is needed to react with 36.75 mL of 0.250 M Co(NO3)2 (aq)? NG 5 6. Consider the following precipitation reaction: 5 Fe2+(aq) + MnO4-(aq) + 8 H+(aq) ? 5 Fe3+(aq) + Mn2+(aq) + 4 H2O(l) An iron sample weighing 0.214 g is converted into Fe2+(aq) and requires 31.57 mL of MnO4-(aq) according...
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}
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)).