Concept explainers
Determine the number of nodes along the internuclearaxis for each of the
Interpretation: The number of nodes along the internuclear axis for each of the
Concept introduction: Born-Oppenheimer approximation state that nuclei are heavier than electrons that considered fixed in space whereas the electrons move constantly around them. The Born−Oppenheimer approximation solves the electronic Schrodinger equation for
Answer to Problem 1P
The number of nodes in
Explanation of Solution
Node is point in molecular orbitals where probability to find the electron density is zero. Nodal plane is the imaginary plane where probability to find electrons is zero.
In the figure, node is the oval region. It is formed when plane white surface cut the spherical orbital into two equal halves having opposite symmetry. Also, there are six
In
In
In
In
In
In
Therefore, number of nodes in
Want to see more full solutions like this?
Chapter 6 Solutions
Principles of Modern Chemistry
- Considering only the molecular orbitals formed by combinations of the 2s atomic orbitals, how many molecular orbitals can be formed by 1000 Li atoms? In the lowest energy state, how many of these orbitals will be populated by pairs of electrons and how many will be empty?arrow_forwardUse MO theory to predict the bond order and the number of unpaired electrons in the super-oxide ion, , and the peroxide ion, .arrow_forwardMolecular Orbital Theory (See Examples 9.49.6.) The hydrogen molecular ion, H2+, can be detected spectroscopically. Write the electron configuration of the ion in molecular orbital terms. What is the bond order of the ion? Is the hydrogenhydrogen bond stronger or weaker in H2+ than in H2s?arrow_forward
- The compound sketched below is acetylsalicylic acid, commonly known as aspirin. (a) What are the approximate values of the angles marked A, B, C, and D? (b) What hybrid orbitals are used by carbon atoms 1, 2, and 3ss?arrow_forwardDetermine if the following species have permanent dipole moments. a Dichloromethane, CH2Cl2 b Chlorobenzene, C6H5Cl c Ammonia, NH3 d Carbon dioxide, CO2.arrow_forwardDetermine if the following species have permanent dipole moments. a The carbonate ion, CO32 b The phosphate ion, PO43 c Uranium hexafluoride, UF6 d Bromine, Br2.arrow_forward
- Why does the energy ordering of the molecular orbitals of the period 2 diatomic molecules change in going from N2 to 0,?arrow_forwardThis molecule has [x overlapping atomic p orbitals that combine to make [y]. molecular pi orbitals.arrow_forwardHow many molecular orbitals are generated from the linear combination of two sp2 orbitals?arrow_forward
- Please explain.arrow_forwardFor the first ionization energy for an N2 molecule, what molecular orbital is the electron removed from?arrow_forwardConstruct the molecular orbital diagram showing the bonding and antibonding molecular orbitals from combinations of two s orbitals using H2 as an example [Write the generic wave functions of the molecular orbitals]arrow_forward
- Organic Chemistry: A Guided InquiryChemistryISBN:9780618974122Author:Andrei StraumanisPublisher:Cengage LearningPrinciples of Modern ChemistryChemistryISBN:9781305079113Author:David W. Oxtoby, H. Pat Gillis, Laurie J. ButlerPublisher:Cengage LearningPhysical ChemistryChemistryISBN:9781133958437Author:Ball, David W. (david Warren), BAER, TomasPublisher:Wadsworth Cengage Learning,
- Chemistry: Principles and PracticeChemistryISBN:9780534420123Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward MercerPublisher:Cengage LearningChemistry & Chemical ReactivityChemistryISBN:9781337399074Author:John C. Kotz, Paul M. Treichel, John Townsend, David TreichelPublisher:Cengage LearningChemistry & Chemical ReactivityChemistryISBN:9781133949640Author:John C. Kotz, Paul M. Treichel, John Townsend, David TreichelPublisher:Cengage Learning