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The sizes and shapes of the hydrogen atom orbitals was revealed through graphica

ID: 1027825 • Letter: T

Question

The sizes and shapes of the hydrogen atom orbitals was revealed through graphical analysis of the corresponding wave functions. These wave functions also predict areas that the electrons have a zero probability of being found. These areas are known as nodes. Nodes in the hydrogen atom orbitals exist either as spherical (radial) nodes or planar (angular) nodes. In the hydrogen atom, what is the total number of nodes present in a 6d orbital? Number nodes How many of the nodes are planar (angular)? How many of the nodes are spherical (radial)? Number Number nod nodels) s orbital p orbital d orbital f orbital

Explanation / Answer

Total nodes is given by n-1 where n = 6 for 6d

hence total nodes = 6-1 = 5

angular nodes = l , for 6d we have l = 2 ,hence number of planar (angular) nodes = 2

speherical nodes = toral nodes - planar ( angular ) nodes = 5-2 = 3

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