Atomic Theory Lecture 3
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Questions and Answers

What does the quantum number 'n' determine about an orbital?

  • Orientation of the orbital
  • Size of the orbital (correct)
  • Position of the electron
  • Shape of the orbital
  • Which of these best describes the shape of a p orbital?

  • Dumbbell-shaped (correct)
  • Linear
  • Spherical
  • Four-leaf clover shaped
  • What is the defining feature of the third quantum number 'ml'?

  • Determines the orientation of an orbital (correct)
  • Determines the size of an orbital
  • Determines the shape of an orbital
  • Determines the energy level of an electron
  • What do nodes in quantum orbitals refer to?

    <p>Regions where the probability of finding an electron is zero</p> Signup and view all the answers

    Which of the following statements regarding d orbitals is true?

    <p>D orbitals can contain a maximum of 10 electrons</p> Signup and view all the answers

    What values can the electron spin quantum number (ms) take and what do they represent?

    <p>+1/2 represents spin up and -1/2 represents spin down.</p> Signup and view all the answers

    How does the principal quantum number (n) influence the characteristics of an orbital?

    <p>The principal quantum number (n) determines the size of the orbital and the energy level of the electron.</p> Signup and view all the answers

    Describe the shape of 3d orbitals and the significance of their nodes.

    <p>3d orbitals have a 'four leaf clover' shape and contain two nodes that pass through the nucleus.</p> Signup and view all the answers

    What determines the number of orbitals in a subshell and how is it calculated?

    <p>The number of orbitals in a subshell is determined by the azimuthal quantum number (l) and is calculated as $2l + 1$.</p> Signup and view all the answers

    Explain the relationship between shells and subshells in quantum numbers.

    <p>Each shell corresponds to a principal quantum number (n) and contains n subshells characterized by the angular momentum quantum number (l).</p> Signup and view all the answers

    What is the importance of the magnetic quantum number (ml) in defining the orientation of orbitals?

    <p>The magnetic quantum number (ml) determines the orientation of orbitals in space for a given subshell.</p> Signup and view all the answers

    What is the defining characteristic of an s orbital compared to p and d orbitals?

    <p>An s orbital is spherical in shape with no nodes, while p orbitals are dumbbell-shaped and d orbitals have a more complex clover shape.</p> Signup and view all the answers

    How many f orbitals are present in the 4f subshell and what does the f orbital shape resemble?

    <p>The 4f subshell contains 7 f orbitals, which have complex shapes often described as having multiple lobes.</p> Signup and view all the answers

    Study Notes

    Quantum Numbers

    • Electron spin is a fundamental property, like charge and mass.
    • Electron spin is either +1/2 (spin up) or -1/2 (spin down).
    • ms represents the electron spin quantum number.

    Orbital Shapes, Sizes, and Orientations

    • The principal quantum number (n) determines the size of the orbital.
    • The azimuthal quantum number (l) determines the shape of the orbital.
    • The magnetic quantum number (ml) determines the orientation of the orbital in space.

    Energy Levels and Quantum Numbers

    • The energy of an orbital in a hydrogen or one-electron atom is only dependent on the value of n.
    • A shell contains all orbitals with the same value of n.
    • A subshell contains orbitals with the same values of n and l.
    • An orbital is fully defined by three quantum numbers (n, l, and ml).
    • Each shell of a given principal quantum number (n) contains n subshells.
    • Each subshell of a given azimuthal quantum number (l) contains (2l + 1) orbitals.

    Orbital Shapes (s, p, d, f)

    • s orbitals are spherical.
    • p orbitals are dumbbell-shaped, with one node passing through the nucleus.
    • d orbitals have more complex shapes, often described as cloverleaf-shaped, with multiple nodes that pass through the nucleus..
    • f orbitals have even more complex shapes with multiple nodes.

    Nodes in Orbitals

    • The number of radial nodes in an orbital increases with increasing principal quantum number (n).
    • 1s has no nodes, 2s has one radial node, 3s has two radial nodes.
    • p orbitals have one angular node passing through the nucleus..
    • d orbitals have two angular nodes passing through the nucleus
    • f orbitals have three angular nodes passing through the nucleus

    Orbitals and the Periodic Table

    • The arrangement of orbitals (s, p, d, and f) in the periodic table corresponds to the filling order of electrons in atoms.
    • The periodic table shows how electrons fill orbitals.

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