For the B 2H 6 molecule  i) Using projection operators, derive a set of SALCs using the  bridging H 1s orbitals.   ii) Using projection operators, derive a set of SALCs using the s- and p- orbitals of the B atoms.

Chemistry & Chemical Reactivity
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Chapter9: Bonding And Molecular Structure: Orbital Hybridization And Molecular Orbitals
Section: Chapter Questions
Problem 19PS: Molecular Orbital Theory (See Examples 9.49.6.) The hydrogen molecular ion, H2+, can be detected...
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For the B 26 molecule 
      i) Using projection operators, derive a set of SALCs using the  bridging H 1s orbitals.
 
      ii) Using projection operators, derive a set of SALCs using the s- and p- orbitals of the B atoms.
 
      iii) Using the SALCs derived in (i) and (ii), draw a molecular orbital diagram for the interaction between the B atoms and the bridging H atoms.
 
      iv) Fill in the molecular orbital diagram from (iii), remembering that 8 of the available electrons will be used in the bonds between the B atoms and the  terminal H atoms – those will not show up in this diagram.
Expert Solution
Step 1

To derive a set of Symmetry Adapted Linear Combinations (SALCs) using the bridging H 1s orbitals in the B2H6 molecule, we first need to identify the symmetry operations that preserve the molecular geometry

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