Hand in Assignment 3 Solutions

Hand in Assignment 3 Solutions - CHEM 212(DE HAND-IN...

Info icon This preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
CHEM 212 (DE) HAND-IN ASSIGNMENT #3 (Fall 2008) page 1 of 5 1. (10 marks) Consider the following expressions for the sp 3 hybrid orbitals for some atom “X” which is located at the point (x,y,z) = (0,0,0). φ = 1 x y z 2 2s 2p 2p 2p + + + a φ = 1 x y z 2 2s 2p 2p 2p - - + b φ = 1 x y z 2 2s 2p 2p 2p + - - c φ = 1 x y z 2 2s 2p 2p 2p - + - d a) Calculate the percentage composition of each hybrid to show that the hybrids are equivalent. b) Show that each of the hybrids is normalized. c) Show that φ a is orthogonal to φ b , φ c and φ d . For φ a : 2 1 2 2 2 2 2 1 1 1 1 2 2 2 2 ( ) % 2s = ×100% = 25% ( ) +( ) +( ) +( ) 2 1 2 2 2 2 2 1 1 1 1 2 2 2 2 x ( ) % 2p = ×100% = 25% ( ) +( ) +( ) +( ) 2 1 2 2 2 2 2 1 1 1 1 2 2 2 2 y ( ) % 2p = ×100% = 25% ( ) +( ) +( ) +( ) 2 1 2 2 2 2 2 1 1 1 1 2 2 2 2 z ( ) % 2p = ×100% = 25% ( ) +( ) +( ) +( ) For the other hybrids, the coefficients are all equal to ± ½, so we will get exactly the same percentage compositions. Each hybrid is 25% 2s, 25%, 2p x , 25% 2p y and 25% 2p z . φ a normalized i i a 2 = 1 Since = 2 2 2 2 2 1 1 1 1 2 2 2 2 =1 ( ) +( ) +( ) +( ) i i a , then φ a is normalized. Similarly, φ b , φ c and φ d are all normalized.
Image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern