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Questions and Answers
What does the quantum number 'n' determine about an orbital?
What does the quantum number 'n' determine about an orbital?
Which of these best describes the shape of a p orbital?
Which of these best describes the shape of a p orbital?
What is the defining feature of the third quantum number 'ml'?
What is the defining feature of the third quantum number 'ml'?
What do nodes in quantum orbitals refer to?
What do nodes in quantum orbitals refer to?
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Which of the following statements regarding d orbitals is true?
Which of the following statements regarding d orbitals is true?
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What values can the electron spin quantum number (ms) take and what do they represent?
What values can the electron spin quantum number (ms) take and what do they represent?
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How does the principal quantum number (n) influence the characteristics of an orbital?
How does the principal quantum number (n) influence the characteristics of an orbital?
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Describe the shape of 3d orbitals and the significance of their nodes.
Describe the shape of 3d orbitals and the significance of their nodes.
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What determines the number of orbitals in a subshell and how is it calculated?
What determines the number of orbitals in a subshell and how is it calculated?
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Explain the relationship between shells and subshells in quantum numbers.
Explain the relationship between shells and subshells in quantum numbers.
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What is the importance of the magnetic quantum number (ml) in defining the orientation of orbitals?
What is the importance of the magnetic quantum number (ml) in defining the orientation of orbitals?
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What is the defining characteristic of an s orbital compared to p and d orbitals?
What is the defining characteristic of an s orbital compared to p and d orbitals?
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How many f orbitals are present in the 4f subshell and what does the f orbital shape resemble?
How many f orbitals are present in the 4f subshell and what does the f orbital shape resemble?
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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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