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The accompanying drawing shows a contour plot for a dyz orbital. Consider the quantum numbers that could potentially correspond to this orbital. (b) What is the value of the angular momentum quantum number, l?
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Ch.6 - Electronic Structure of Atoms
Brown14th EditionChemistry: The Central ScienceISBN: 9780134414232
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TOC.tableOfContents
- Ch.1 - Introduction: Matter, Energy, and Measurement177
- Ch.2 - Atoms, Molecules, and Ions231
- Ch.3 - Chemical Reactions and Reaction Stoichiometry216
- Ch.4 - Reactions in Aqueous Solution189
- Ch.5 - Thermochemistry175
- Ch.6 - Electronic Structure of Atoms168
- Ch.7 - Periodic Properties of the Elements150
- Ch.8 - Basic Concepts of Chemical Bonding177
- Ch.9 - Molecular Geometry and Bonding Theories200
- Ch.10 - Gases179
- Ch.11 - Liquids and Intermolecular Forces113
- Ch.12 - Solids and Modern Materials154
- Ch.13 - Properties of Solutions157
- Ch.14 - Chemical Kinetics199
- Ch.15 - Chemical Equilibrium128
- Ch.16 - Acid-Base Equilibria164
- Ch.17 - Additional Aspects of Aqueous Equilibria163
- Ch.18 - Chemistry of the Environment105
- Ch.19 - Chemical Thermodynamics164
- Ch.20 - Electrochemistry171
- Ch.21 - Nuclear Chemistry122
- Ch.22 - Chemistry of the Nonmetals82
- Ch.23 - Transition Metals and Coordination Chemistry79
- Ch.24 - The Chemistry of Life: Organic and Biological Chemistry16
Brown14th EditionChemistry: The Central ScienceISBN: 9780134414232Non è quello che usi tu?Cambia libro di testo
Capitolo 6, Problema 10c
The accompanying drawing shows a contour plot for a dyz orbital. Consider the quantum numbers that could potentially correspond to this orbital. (c) What is the largest possible value of the magnetic quantum number, ml?
Guida verificata passo dopo passo1
Identify the type of orbital shown in the contour plot. The dyz orbital is a type of d orbital.
Recall that d orbitals correspond to the azimuthal quantum number, l, which is equal to 2.
Understand that the magnetic quantum number, ml, can take on integer values ranging from -l to +l.
For a d orbital (l = 2), the possible values of ml are -2, -1, 0, +1, and +2.
Determine the largest possible value of the magnetic quantum number, ml, which is +2.
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Quantum Numbers
Quantum numbers are a set of numerical values that describe the unique quantum state of an electron in an atom. They include the principal quantum number (n), azimuthal quantum number (l), magnetic quantum number (ml), and spin quantum number (ms). Each quantum number provides specific information about the electron's energy level, shape of the orbital, orientation, and spin, respectively.
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02:55
Principal Quantum Number
Magnetic Quantum Number (ml)
The magnetic quantum number (ml) determines the orientation of an orbital in space relative to the three axes (x, y, z). For a given azimuthal quantum number (l), ml can take on integer values ranging from -l to +l, including zero. For example, for a d orbital (where l = 2), ml can be -2, -1, 0, +1, or +2, indicating the different orientations of the d orbitals.
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03:06Magnetic Quantum Number
dyz Orbital
The dyz orbital is one of the five d orbitals and is characterized by its specific shape and orientation in three-dimensional space. It is oriented in the yz-plane and has a distinct lobular structure, which is evident in the contour plot. Understanding the shape and orientation of the dyz orbital is crucial for determining its corresponding quantum numbers, particularly the magnetic quantum number (ml).
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03:06Molecular Orbital Theory
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The accompanying drawing shows a contour plot for a dyz orbital. Consider the quantum numbers that could potentially correspond to this orbital. (d) The probability density goes to zero along which of the following planes: xy, xz, or yz?
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The contour representation of one of the orbitals for the n = 3 shell of a hydrogen atom is shown here. (c) In which of the following ways would you modify this sketch if the value of the magnetic quantum number, ml, were to change? (i) It would be drawn larger, (ii) the number of lobes would change, (iii) the lobes of the orbital would point in a different direction, (iv) there would be no change in the sketch.
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