Quantum Mechanics and Atomic Structure Quiz

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What is the fundamental charge of an electron?

$1.602 \times 10^{-19}$ C

What did Ernest Rutherford's experiment with alpha particles lead to the discovery of?

The nuclear model of the atom

What is the speed of light in a vacuum?

$3 \times 10^8$ ms$^{-1}$

What did J.J. Thomson's cathode ray experiment lead to the discovery of?

<p>Streams of negatively charged particles</p> Signup and view all the answers

What is the trend for atomic radius across a period in the periodic table?

<p>Decreases from left to right</p> Signup and view all the answers

Which statement about ionic radius is correct?

<p>Cations are smaller than their parent atoms, while anions are larger</p> Signup and view all the answers

What is the general trend for ionization energy across a period?

<p>Increases from left to right</p> Signup and view all the answers

Which statement about electron affinity is true?

<p>Electron affinities are highest toward the right of the periodic table</p> Signup and view all the answers

What is the Inert-Pair Effect?

<p>The tendency to form ions two units lower in charge than expected from the group number</p> Signup and view all the answers

What are the properties of s-block elements?

<p>Reactive metals that form basic oxides</p> Signup and view all the answers

What are the properties of p-block elements?

<p>Tend to gain electrons to complete closed shells; range from metals through metalloids and nonmetals</p> Signup and view all the answers

What are the properties of d-block elements?

<p>Metals with properties between those of s-block and p-block; many form cations in more than one oxidation state</p> Signup and view all the answers

What is the minimum energy needed to remove an electron from a neutral atom in the gas phase?

<p>Ionization energy</p> Signup and view all the answers

What is the energy released when an electron attaches to a gas-phase atom?

<p>Electron affinity</p> Signup and view all the answers

What is the trend for first ionization energies down a group?

<p>Decrease</p> Signup and view all the answers

What is the trend for successive ionization energies?

<p>Always higher (I3 &gt; I2 &gt; I1)</p> Signup and view all the answers

What did Max Planck propose to solve the ultraviolet catastrophe in classical physics?

<p>The concept of quanta</p> Signup and view all the answers

What does the de Broglie relation $\lambda = \frac{h}{p}$ illustrate?

<p>The wave-like properties of electromagnetic radiation and matter</p> Signup and view all the answers

What does the uncertainty principle proposed by Heisenberg highlight?

<p>The limitations of classical mechanics in determining the precise position and momentum of particles</p> Signup and view all the answers

What phenomenon does quantum theory explain?

<p>Black-body radiation, the photoelectric effect, and the wave-particle duality of matter</p> Signup and view all the answers

What concept did Max Planck introduce in his solution to the ultraviolet catastrophe?

<p>Quanta</p> Signup and view all the answers

What did the photoelectric effect demonstrate about electromagnetic radiation?

<p>It behaves like particles (photons) with energy $E = h\nu$</p> Signup and view all the answers

What did Johann Balmer and Johannes Rydberg contribute to the understanding of spectral lines in the hydrogen spectrum?

<p>Mathematical relationships between wavelength, frequency, and energy levels</p> Signup and view all the answers

What does the Bohr frequency condition introduced by Einstein support?

<p>The idea that electrons behave like particles</p> Signup and view all the answers

What are atomic spectra produced by?

<p>Excited hydrogen atoms giving off electromagnetic radiation</p> Signup and view all the answers

What does the electromagnetic spectrum include?

<p>Visible light (400-700 nm), ultraviolet radiation (&lt;400 nm), and infrared radiation (&gt;800 nm)</p> Signup and view all the answers

What gives rise to spectral lines in atoms?

<p>Transitions between energy levels</p> Signup and view all the answers

What does the de Broglie relation illustrate about matter?

<p>The wave-like properties</p> Signup and view all the answers

What does Heisenberg's Uncertainty Principle state?

<p>The product of the uncertainties in position and momentum is greater than or equal to Planck's constant divided by $2\text{\textpi}$</p> Signup and view all the answers

What does Schrödinger's wavefunction, Ψ, describe?

<p>The probability of finding a particle and satisfies the Schrödinger equation</p> Signup and view all the answers

What does the Particle in a Box model demonstrate?

<p>Quantization of energy levels</p> Signup and view all the answers

What determines the energy and existence of discrete energy levels in the Hydrogen Atom?

<p>The principle quantum number, n</p> Signup and view all the answers

How are atomic orbitals described?

<p>By spherical polar coordinates, with radial and angular wavefunctions determining the probability density of an electron at each point</p> Signup and view all the answers

What is true about the ground state wavefunction for the hydrogen atom?

<p>It is spherically symmetric and has the highest probability density closest to the nucleus</p> Signup and view all the answers

How many quantum numbers are needed to label each wavefunction for 3-dimensional Schrödinger’s equation?

<p>Three (n, l, ml)</p> Signup and view all the answers

How do the orbitals of a shell with principal quantum number n fall into subshells?

<p>n subshells</p> Signup and view all the answers

What does the value of l determine for atomic orbitals?

<p>The orbital angular momentum and shape of the orbital</p> Signup and view all the answers

What does the magnetic quantum number, ml, specify?

<p>The orientation of the orbital motion of the electron</p> Signup and view all the answers

How are the orbitals of a shell with principal quantum number n distributed?

<p>Each shell has 2s-orbital and multiple p, d, and f orbitals, with specific orientations and shapes</p> Signup and view all the answers

What is true about the energy of all orbitals of a given shell for atoms with 1 electron?

<p>All orbitals of a given shell have the same energy, regardless of their orbital angular momentum, making them degenerate</p> Signup and view all the answers

Study Notes

Quantum Mechanics and Atomic Structure

  • Heisenberg's Uncertainty Principle states that the product of the uncertainties in position and momentum is greater than or equal to Planck's constant divided by 2π.
  • Schrödinger's wavefunction, Ψ, describes the probability of finding a particle and satisfies the Schrödinger equation, which calculates the wavefunction and energy for a particle.
  • The Particle in a Box model demonstrates quantization of energy levels, where only certain wavelengths fit into the box, resulting in discrete energy levels.
  • The Hydrogen Atom's energy levels are quantized, with the principle quantum number, n, determining the energy and existence of discrete energy levels.
  • Atomic orbitals are described by spherical polar coordinates, with radial and angular wavefunctions determining the probability density of an electron at each point.
  • The ground state wavefunction for the hydrogen atom is spherically symmetric and has the highest probability density closest to the nucleus.
  • Three quantum numbers (n, l, ml) are needed to label each wavefunction for 3-dimensional Schrödinger’s equation, determining the size, shape, and orientation of the orbital.
  • The orbitals of a shell with principal quantum number n fall into n subshells, and the value of l determines the orbital angular momentum and shape of the orbital.
  • The magnetic quantum number, ml, distinguishes individual orbitals within a subshell and specifies the orientation of the orbital motion of the electron.
  • The combination of the three quantum numbers specifies an individual orbital, and each shell has 2s-orbital and multiple p, d, and f orbitals, with specific orientations and shapes.
  • For atoms with 1 electron, all orbitals of a given shell have the same energy, regardless of their orbital angular momentum, making them degenerate.
  • The Schrödinger equation and quantum mechanics provide a detailed understanding of atomic structure, energy quantization, and the behavior of particles at the quantum level.

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