Intro Spectroscopy
5th Edition
ISBN: 9781305221796
Author: PAVIA
Publisher: Cengage
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(4) Predict the structure of CsCl. Given: radius of Cs+= 0.160 nm, radius of Cl-=0.181nm.
Calculate the radius ratio between Cs+ and Cl- and derive the coordination number
(CN) based on the table below.
Rcation/Ranion
CN
0-0.155
2
3
0.155-0.225
0.225-0.414
0.414-0.732
0.732-1
1
4
6
8
12
Given that the radius of the Ca2+ and F- ions are 1.03 Å and 1.36 Å, respectively, show that the packing fraction of the CaF2 (Fluorite) structure is 0.61.
i) Explain the Hexagonal Closed Packing
(HCP) unit cell with a neat diagram and
provide a minimum of two examples for HCP
structure.
ii) Explain Self interstitial atom and Interstitial
impurity atom with a neat diagram.
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- Fe3+ ion was reduced to its amalgam from solutions that were 2.0 x 10 3 M Fe3+, 0.1 M KNO,. Fe3+ + 3e + Hg Fe(Hg) Addition of Br ions forms a complex. E was shifted with each addition of the anion. The shifts in E,, were plotted against log[Br ]. The slope was found to be -0.021 with an intercept of -0.13. Calculate the formation constant (Kf) of the complex. O 2.7 x 107 3.9 x 10-6 O 1.9 x 10-5 5.4 x 104 O 4.8 x 1013arrow_forwardThe electron affinity of Cl is 3.61 eV whereas the ionization energy of K is 4.34 eV. How far apart must two molecules be for the KC1 molecule to accumulate enough Coulomb energy to outpace the energy required to create the K+ and (I-) ions?arrow_forwardThe average bond length of a molecule can change slightly with vibrational state. In 2³Na3$Cl, the frequency of light absorbed in a change from the J = 1 to the J = 2 rota- tional state in the ground vibrational state (n = 0) was measured to be v = 2.60511 × 1010 s-1, and that for a change from J = 1 to J = 2 in the first excited vibrational state (n 1) was v = 2.58576 x 1010 s-1. Calculate thearrow_forward
- What is the cnergy difference in eV between the two lowest rotational levels of the HD molecule? The HD (D is a deuteron) distance is 0.75 Å.arrow_forwardAn excited state electronic configuration for the valence shell of Na₂ (sodium dimer) is (4µg 3s)¹(4µµ 3s)¹. What are the possible term symbols corresponding to this configuration, including the label for parity? Choose all term symbols that could result for this configuration. о 3{u 1{g 30g о 1 пи 38g 1{uarrow_forwardPerform a H¨uckel calculation for the allyl radical CH2CHCH2Find the energies and the values for the expansion coefficients of each molecular orbital generated in the calculation. What is the electronic configuration?arrow_forward
- Q5: Given the force constant for ¹4N-¹4N is 2287 N m²¹, estimate a) the zero-point energy and b) the observed frequency of radiation (in cm-¹) that could be absorbed for the N₂ bond. Explain your assumptions. c) The bond dissociation energy of ¹4N-¹4N is 945.3 kJ mol¹¹. What fraction of the bond dissociation energy is the zero-point energy for N₂?arrow_forwardThe bond length in F2 is 1.417 Å, instead of twice theatomic radius of F, which is 1.28 Å. What can account forthe unexpected length of the F_ F bond?arrow_forwardThe distemce of nth boignt bond From center bemd is given by Ca) (b) (d) (2n)ADarrow_forward
- The Madelung constant for the NaCl structure may be found by summing an infinite alternating series of terms giving the electrostatic potential energy between an Na+ ion and its 6 nearest Cl neighbors, its 12 next-nearest N+ neighbors, and so on (see Fig. 12.1a). (a) From this expression, show that the first three terms of the infinite series for the Madelung constant for the NaCl structure yield = 2.13. (b) Does this infinite series converge rapidly? Calculate the fourth term as a check.arrow_forwardThe electron affinity of Cl is 3.89 eV and the ionization energy of K is 4.34 eV. Use the preceding problem to find the dissociation energy. (Neglect the energy of repulsion.)arrow_forwardThe measured density of a CsCl crystal is 3.988 g/cm3. What is the equilibrium separate distance of Cs+ and Cl- ions?arrow_forward
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