Vocabulary | |
amplitude angular momentum quantum number f orbital magnetic quantum number orbital principal quantum number rare earth metal spectrum subshell valence shell |
The yellow and blue colors designate lobes with positive and negative amplitudes, respectively.
The 4f_{y3 - 3x2y} orbital corresponds to n=4, =3, and m_{}=-3. Six lobes point to the corners of a regular hexagon in the xy plane, with one pair of lobes along the x-axis. Three nodal planes pass between the lobes and intersect at the z axis. | |
The 4f_{xyz} orbital corresponds to n=4, =3, and m_{}=-2. Eight lobes point to the corners of a cube, with four lobes above and four lobes below the xy plane. The x and y axes pass through the centers of four of the cube's faces (between the lobes). The three nodal planes are defined by the x, y, and z axes. | |
The 4f_{5yz2 - yr2} orbital corresponds to n=4, =3, and m_{}=-1. Six lobes point to the corners of a regular hexagon in the yz plane, with one pair of lobes along the x-axis. The three nodal planes pass between the lobes and intersect at the y axis. | |
The 4f_{z3 - 3zr2} orbital corresponds to n=4, =3, and m_{}=0. Two lobes point along the z-axis, with two bowl-shaped rings above and below the xy plane. The nodal surfaces are the xy plane and a conical surface passing through the nucleus and between the rings and the lobes. | |
The 4f_{5xz2 - xr2} corresponds to n=4, =3, and m_{}=+1. Six lobes point to the corners of a regular hexagon in the xz plane, with one pair of lobes along the y-axis. The three nodal planes pass between the lobes and intersect at the x axis. | |
The 4f_{zx2 - zy2} orbital corresponds to n=4, =3, and m_{}=+2. It has the same shape as the 4f_{xyz} orbital, but the corners of the cube are in the planes defined by the x, y, and z axes and the three nodal planes cut between the lobes and intersect along the z axis. | |
The 4f_{x3 - 3xy2} orbital corresponds to n=4, =3, and m_{}=+3. It is identical to the orbital with m_=-3 except that a lobe lies along the y axis instead of along the x axis. |
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Last Revised 02/23/18.URL: http://antoine.frostburg.edu/chem/senese/101/electrons/faq/print-f-orbital-shapes.shtml