Deck 5: Quantum Mechanics and Atomic Structure

Question 1

Which of the following sets of quantum numbers is allowed for an electron in a one electron atom?

A) n=4, l=3, m=3, m_s=0
B) n=3, l=1, m=2, m_s= -1/2
C) n=2, l=0, m=1, m_s=1/2
D) n=2, l=3, m=3, m_s=1/2
E) n=6, l=5, m= -3, m_s= -1/2

Answer 1

E

Question 2

Which of the follow are possible quantum numbers for a 3d wave function in a hydrogen atom?

A) n=2 l=3 m=3
B) n=3 l=0 m=0
C) n=3 l=3 m= -2
D) n=3 l=2 m= -1
E) none of the above

Answer 2

D

Question 3

How many radial and angular nodes does a 4p orbital for a one electron atom have?

A) 3 radial, 1 angular
B) 2 radial, 2 angular
C) 2 radial, 1 angular
D) 2 radial, 0 angular
E) 1 radial, 1 angular

Answer 3

C

Question 4

How many possible sets of quantum numbers (n, l, m, m_s) are there with n=4?

A) 1
B) 4
C) 8
D) 16
E) 32

Question 5

The most probable distance for an electron in a 1s wavefuction in hydrogen is at a distance equal to a_o/Z. Given this information you would predict that Li²⁺ would be

A) 2 times larger than hydrogen
B) 2 times smaller than hydrogen
C) 3 times larger than hydrogen
D) 3 times smaller than hydrogen
E) no way to guess exactly due to shielding effects

Question 6

The ground state 1s electron in which atom has an average distance closest to the nucleus?

A) H
B) He⁺
C) He
D) a & b are the same and closest
E) c & d are the same and closest

Question 7

For C would the Z_eff be larger for the 2s or the 2p Hartree orbital?

A) Z_eff(2s) would be larger
B) Z_eff(2p) would be larger
C) Z_eff(2s) would be equal to Z_eff(2p)
D) it depends on the spin

Question 8

Which is the best estimate for Z_eff(1s) for the Hartree orbitals for He?

A) 1.0
B) 1.7
C) 2.0
D) 2.3
E) 3

Question 9

Given that Z_eff(2s) in Li is 1.26, estimate the energy of the 2s electron in Li in Rhydberg units.

A) -0.40
B) -0.63
C) -0.79
D) -1.26
E) -4.0

Question 10

What is the electronic configuration for Si?

A) [He]2s²2p²
B) [Ne]2p⁴
C) [Ne]3p⁴
D) [Ne]3s²3p²
E) [Na]3s²2p²

Question 11

Which group of atoms and ions is isoelectronic?

A) O^2-, F^-, Ne, Li⁺
B) O^2-, F^-, Ne, Mg²⁺
C) Na⁺, Li⁺, Mg²⁺, Ca²⁺
D) F^-, Cl^-, Br^-, Ar
E) F^-, S^2-, He

Question 12

Given that the electronic configuration of Cu is [Ar]3d¹⁰4s¹ what is the electronic configuration of Cu⁺?

A) [Ar]3d¹⁰
B) [Ar]3d⁹4s¹
C) [Ar]3d¹⁰4s²
D) [Ne]3s²3p⁵3d¹⁰4s¹
E) [Ne]3s¹3p⁶3d¹⁰4s¹

Question 13

What is the electronic configuration of Sn?

A) [Kr]4s²4d¹⁰4p²
B) [Kr]5s²5d¹⁰5p²
C) [Kr]5s²4d¹⁰5p²
D) [Kr]4s²5d¹⁰4p²
E) [Kr]5s²4d¹²

Question 14

Which of the following would you expect to have unpaired electrons?

A) Be
B) Zn
C) Ne
D) Si
E) none of the above

Question 15

What +2 ion has the electronic configuration [Xe]6s²4f¹⁴5d¹⁰?

A) Ba²⁺
B) Po²⁺
C) Pt²⁺
D) Pb²⁺
E) Hg²⁺

Question 16

A photoelectron spectrum of sodium excited with x-rays with an energy of 1254 eV shows two peaks at kinetics energies of 1190 eV and 1223 eV. These peaks are assigned to the sodium 2s and 2p electrons. What is the energy of the 2s electron in sodium?

A) -31 eV
B) -33 eV
C) -64 eV
D) -128 eV
E) -1190 eV

Question 17

The photoelectron spectra of Pd shows the 3d electrons to have an energy of -335 eV. Estimate the Z_eff for this orbital in Pd.

A) 14.9
B) 22.2
C) 44.7
D) 46
E) 54.9

Question 18

The 2p level in fluorine has a binding energy of -12 eV. If a photoelectron spectrum of fluorine is taken with ultraviolet light with an energy of 21.2 eV, at what kinetic energy will the 2p electrons be observed?

A) 3.0 eV
B) 9.2 eV
C) 16.6 eV
D) 27.2 eV
E) 33.2 eV

Question 19

Which will have the largest ionization potential?

A) Li
B) Li⁺
C) He
D) K
E) Cs

Question 20

In which of the following pairs does the second atom or ion has the larger radius?

A) He, Li⁺
B) F^-, F
C) Br, Cl
D) Na, Mg
E) Na, Na⁺

Question 21

Rank from smallest to largest in terms of atom/ionic radii.

A) S^2-, Cl^-, Ar, K⁺, Ca²⁺
B) Ca²⁺, K⁺, Ar, Cl^-, S^2-
C) Ca²⁺, S^2-, K⁺, Cl^-, Ar
D) Ar, K⁺, Cl^-, Ca²⁺, S^2-
E) Ar, Cl^-, K⁺, S^2-, Ca²⁺

Question 22

Which of the following would you expect to have the largest third ionization energy?

A) Mg
B) Si
C) Al
D) Ne
E) Ti

Question 23

Which will be larger the first ionization energy of Ar or the second ionization energy of K?

A) E₁ of Ar
B) E₂ of K
C) they will be exactly equal
D) it depends on the shielding

Question 24

Given that the first ionization energy O is lower than that of N what would you predict for the Z_eff(2p) in these atoms?

A) Z_eff(2p) is larger in N than in O
B) Z_eff(2p) is larger in O than in N
C) they are exactly the same
D) the ionization energy cannot be related to Z_eff(2p)

Question 25

What do you predict of the electron configuration of element 117?

A) [Rn]7s²5f¹⁴6d¹⁰7p⁵
B) [Rn]7s²6d¹⁰7p⁶
C) [Rn]7s¹5f¹⁴6d¹⁰7p⁶
D) [Rn]7s²7f¹⁴7d¹⁰7p⁵
E) [Rn]7s²4f¹⁴3d¹⁰7p⁵

Question 26

Which of the following is always true?

A) IE₁ increases with increasing atomic number
B) IE₁ decreases with increasing atomic number
C) IE₂ is always higher than IE₁
D) for isoelectronic species the atom with the higher atomic number will have the lower IE₁
E) none of the above are always true

Question 27

Which Nobel gas has a full 4f shell of electrons?

A) Ne
B) Ar
C) Kr
D) Xe
E) Rn

Question 28

The electron affinity for sodium is 52 kJ mol^-1 and the first ionization energy for sodium is 496 kJ mol^-1. What is the change in energy for the following reaction?
2 Na(g) → Na⁺(g) + Na^-(g)

A) -548 kJ mol^-1
B) -496 kJ mol^-1
C) -52 kJ mol^-1
D) +444 kJ mol^-1
E) +888 kJ mol^-1

Question 29

Which will have the largest electron affinity?

A) O
B) O^-
C) O^2-
D) O⁺
E) Ne

Question 30

The wavefunction for the 2s orbital in hydrogen is given by At what radius is there a node?

A) r = 0
B) r = 2/a₀
C) r = a₀
D) r = 2a₀
E) there are no radial nodes in this function

Question 31

Which atomic species, in its ground state, has six unpaired electrons?

A) Fe
B) O
C) Mo
D) Cs
E) Dy

Question 32

Of the following angular components for the wave functions of one-electron atoms, which one(s) must correspond only to s type orbitals?

A)

B)

C)

D)

E) B and C

Question 33

Which species is diamagnetic?

A) N
B) Ne
C) O
D) A and B
E) None of the above