The structure of micelles that is formed when sodium dodecylsulfate (SDS) is dissolved in water needs to be determined. Concept Introduction: On the basis of composition, all matter can be classified as pure substances and mixture. Element, molecule and compound are examples of pure substances. Mixtures are composed of more than one substances. Solution is a mixture of solute and solvent. On the basis of particle size, solution can again classified as true solution, colloidal and suspensions. True solution has very small size of particles that is approximately 1 nm whereas the particle size in colloidal solution is between 1-100 nm.

Question

3. Borane (BH3) belongs to D3h point group. Consider the vibrational (stretching) modes possible for B-H bonds under D3h symmetry. Using the methods we used in class, construct the reducible representation I, and break it down into irreducible representations using the character table provided. Sketch those modes, indicate whether they are IR-active. (6 points) D3h E 2C3 3C2 σh 283 30% A₁' 1 1 1 1 1 1 x² + y², z² 1 -1 1 1 -1 R₂ E' 2 0 2 0 (x, y) (x² - y², xy) " A₁" 1 1 -1 A2" 1 -1 -1 1 Z E" 2 -1 0 -2 1 0 (Ry, Ry) (xz, yz)

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Question

Chapter 17, Problem 94AE

Interpretation Introduction

Interpretation: The structure of micelles that is formed when sodium dodecylsulfate (SDS) is dissolved in water needs to be determined.

Concept Introduction: On the basis of composition, all matter can be classified as pure substances and mixture. Element, molecule and compound are examples of pure substances. Mixtures are composed of more than one substances. Solution is a mixture of solute and solvent. On the basis of particle size, solution can again classified as true solution, colloidal and suspensions. True solution has very small size of particles that is approximately 1 nm whereas the particle size in colloidal solution is between 1-100 nm.

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3. Borane (BH3) belongs to D3h point group. Consider the vibrational (stretching) modes possible for B-H bonds under D3h symmetry. Using the methods we used in class, construct the reducible representation I, and break it down into irreducible representations using the character table provided. Sketch those modes, indicate whether they are IR-active. (6 points) D3h E 2C3 3C2 σh 283 30% A₁' 1 1 1 1 1 1 x² + y², z² 1 -1 1 1 -1 R₂ E' 2 0 2 0 (x, y) (x² - y², xy) " A₁" 1 1 -1 A2" 1 -1 -1 1 Z E" 2 -1 0 -2 1 0 (Ry, Ry) (xz, yz)

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