Concept explainers
Interpretation:
The total number of states in an atom which has
Concept introduction:
A term symbol describes the orbital, spin, and total angular momenta of an electronic state. The symbol,
Answer to Problem 15.22E
The total number of states in an atom which has
Explanation of Solution
The value of an azimuthal quantum number,
Where
Each spin can contribute
The value of
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The degeneracy is calculated by the formula
The total number of states in an atom which has
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Chapter 15 Solutions
Physical Chemistry
- Which of the ff orbitals does not exist due to the constraints upon the angular quantum number? 4d, 2p, 3f, 5garrow_forwardUsing only the periodic table and the rules we learned in class, write the ground state electronic structure of the ground state of the Zn2+ in condensed notation.Use this sample format to enter your answer: [Xe] 4f14 5d10 6s2 6p2 (the electronic structure of Pb). The outer shell orbitals must be listed with increasing n first and increasing l second as in this example. Do not list empty orbitals. The atomic symbol of the noble gas must be typed exactly and in the correct case.arrow_forwardDescribe the orbital approximation for the wavefunction of a many-electron atom. What are the limitations of the approximation?arrow_forward
- Calculate the average radius for an electron in a 2s orbital of a hydrogen atom.arrow_forwardWrite noble gas core ground-state electron configurations for atoms of (a) calcium; (b) chromium; (c) lead.arrow_forwardFor a hydrogenic atom all orbitals in a given shell are energetically degenerate. What does this mean? Are different subshells in a non‐hydrogenic atom (an atom having more than one electron) degenerate? If you believe subshells of non‐hydrogenic atoms are not degenerate propose an explanation.arrow_forward
- List the most important ideas of the quantum mechanicalmodel of the atom. Include in your discussion the terms or names wave function, orbital, Heisenberg uncertainty principle, de Broglie, Schrodinger, and probability distribution.arrow_forwardGive the full electron configuration of ground-state Rb.arrow_forward5. (a) Use the hydrogen-like model z2 (in eV) En --13.6 to calculate the total energy of the three electrons of lithium (Li), which has the electron configuration: 1s? 2s'. The three ionization energies for Li(g) are: IE, = 5.392 ev; IE2 = 75.64 eV; IE = 122.5 ev. With the help of Koopman's theorem, what is the total energy of ropulsion between lithium's three electrons (in kJ mol')?arrow_forward
- Consider the four electron configurations for atoms: 1s22s22p63s23p64s23d10 1s22s22p63s23p74s23d104p5 1s22s22p63s23p64s13d10 1s22s22p63s23p63d104p5 Which of the following statements is correct. There are: 2 ground states, 1 excited state, and 1 impossible state There are: 1 ground state, 2 excited states, and 1 impossible state There are: 1 ground state, 1 excited state, and 2 impossible states There are: 1 ground state, 3 excited states, and 0 impossible statesarrow_forwardWrite out the ground-state electron configurations of Au3+arrow_forwardTrue or false? The 4d orbital does not exist in the carbon atom. Justify your answer in 1 sentence or 2.arrow_forward
- Physical ChemistryChemistryISBN:9781133958437Author:Ball, David W. (david Warren), BAER, TomasPublisher:Wadsworth Cengage Learning,