Show that the molecule has six vibrational modes

Assignment Help Mechanical Engineering

Reference no: EM131383546

Plane triangular molecule The molecule BCl3 (boron trichloride) is plane and symmetrical. In equlibrium, the Cl atoms are at the vertices of an equilateral triangle with the B atom at the centroid.

Show that the molecule has six vibrational modes of which five are in the plane of the molecule; show also that the out-of-plane mode and one of the in-plane modes have axial symmetry;

and show finally that the remaining four in-plane modes are in doubly degenerate pairs. Deduce that the BCl3 molecule has a total of four distinct vibrational frequencies.

Reference no: EM131383546

Questions Cloud

Identify your organization core competencies : Summarize what you concluded when you compared your organization to the organization you found on the internet. Identify your organization's core competencies

Create a statement describing the value your restaurant : Imagine you have inherited a restaurant. The restaurant has been out of operation for a bit so this is a blank slate for you to start a new career as a restaurateur and to open a new restaurant. Choose the type of restaurant you want to have, upsc..

Write down the angular velocity vector : Write down the angular velocity vector of the body, and find the instantaneous velocity, speed and acceleration of the particle of the body at the point (4, -3, 7), where distances are measured in metres.

Is the intruder liable for what he has done why or why not : Is the intruder liable for what he has done? Why or why not? Do you have legal responsibilities to Sharon and Darryl? Why or why not?

Show that the molecule has six vibrational modes : Show finally that the remaining four in-plane modes are in doubly degenerate pairs. Deduce that the BCl3 molecule has a total of four distinct vibrational frequencies.

How many hours of television did you watch last week : The student wants to see if participation in athletics is associated with amount of TV watched. Here are the boxplots of TV Watching by Athletic Participation:

Find the contribution margin per haircut : Find the contribution margin per haircut. Assume that the barbers' compensation is a fixed cost. Show calculations to support your answer

Governor walker attack on collective bargainin : How you believe the resistance to Governor Walker's attack on collective bargaining will affect the general public's view of labor? Explain. Is Wisconsin a good or bad example for the nation of how to manage public sector unions? Explain.

Discuss applications of the concept in your current work : Discuss 1-2 applications of this concept in your current work environment. Examples might include forecasting sales revenues for a brand or developing individual forecasts per store location for the sale of a product.

User Account

All Pages