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Atomic orbitals: 4f electron densityThis page addresses the 4f_{xz2} and 4f_{yz2} electron density functions, both of which are only in the general set of 4f orbitals. See below for links to images of the electron densities of the other 4f orbitals. Schematic plot of the 4f_{x(5z2r2)} (abbreviated as 4f_{xz2}) electron density function ψ_{4fx(5z2r2)} (or ψ_{4fxz2}). Blue represents negative values for the wave function and red represents positive values. The line graph on the left is a plot of values along the xaxis, which is through the "flattened" minor zones. The surface plot on the right shows values of ψ_{4fxz2} on a slice drawn through the xz plane (y = 0). The red zone at centre left and the blue zone at centre right are the "flattened" more minor zones evident here. The xdirection is the same for all three plots. The "surface" of the orbital represents points for which the electron density for that orbital is the same  an isosurface. By choosing different values of electron density, denoted by the bar moving up and down on the line plot or by the moving plane on the surface plot, then the size of the threedimensional plot changes. All values are of necessity not negative since the square of any real number cannot be less than zero. The 4f_{xz2} and 4f_{xz2} orbitals are identical in appearance and differ only in direction. One can be mapped to the other by a 90° rotation about the zaxis. This is best seen when viewing both together. Links to 4f electron density functions  

The Orbitron is a gallery of orbitals on the WWW The Orbitron^{TM}, a gallery of orbitals on the WWW, URL: http://winter.group.shef.ac.uk/orbitron/Copyright 20022015 Prof Mark Winter [The University of Sheffield]. All rights reserved. Document served: Sunday 16th February, 2020 