Exam 12: Quantum Mechanics and Atomic Theory

Consider the following portion of the energy-level diagram for hydrogen: -The energy expressions for the electrons in the He⁺ ion and the hydrogen atom are E_n (H) = -a/n² and E_n (He⁺) = -4a/n² Which of the following statements is(are) correct? i.For the transitions n₁ → n₂ , the frequency is larger for H than for He⁺.II.The first ionization energy of the H atom is smaller than the second ionization energy of the He atom.III.The 1s orbital in He⁺ is larger (in the sense that the probability density is shifted outward) than the 1s orbital in H.

What is the electron configuration of Ti²⁺?

Which of the following is not determined by the principal quantum number, n, of the electron in a hydrogen atom?

What value is the closest estimate of Z_eff for a valence electron of the calcium atom?

Sodium losing an electron is an ________ process, and fluorine losing an electron is an _______ process.

For the set of elements Li, K, Ar, and Kr, which element has the largest atomic radius? Explain any deviation from the expected pattern.

An element with the electron configuration [Xe]4f¹⁴5d⁷6s² would belong to which class on the periodic table?

Which of the following statements is/are true of the Group 1A elements of the periodic table? 1) Lithium, sodium, potassium, rubidium, cesium, and francium are the most reactive of the metals. 2) Hydrogen behaves as a nonmetal because the electron in its small 1s orbital is bound very tightly to the nucleus. 3) The first ionization energy of the elements decreases and the atomic radius increases as one moves down the group.

Write the electron configuration for the following: -Ca

Which of the following combinations of quantum numbers do not represent permissible solutions of the Schrodinger equation for the electron in the hydrogen atom? (In other words, which combination of quantum numbers is not allowed?) (Combinations are listed as follows: n, l, m_(l), m_(s).)

​In 1927, the _____ principle was discovered that helps to understand the meaning of orbitals.

Consider the following portion of the energy-level diagram for hydrogen: -For an electron in a one-dimensional box, what is the minimum energy to excite the electron from the ground state?

How many electrons in an atom can have the quantum numbers n = 4, l = 2?

A photographic film needs a minimum of 80.0 kJ/mol for exposure.What is the longest wavelength of radiation with sufficient energy to expose the film?

How many electrons can be described by the quantum numbers n = 4, l = 4, m_l = 1?

Which of the following statements about quantum theory is incorrect?

For the set of elements C, N, O, and F, which element has the smallest ionization energy? Explain any deviation from the expected pattern.

Which atom has three 2p electrons in its ground state?

What is the total number of electrons that can be accommodated in the level corresponding to n = 5?

Which element is most likely to form an ion with a charge of 2+?