Radial nodes

Radial nodes - 1 node 2 nodes Route 2 : You can also use a...

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10/16/10 A quick guide to “nodes” Radial nodes are dependent on two quantum numbers: n (principle quantum number, this tells you the ENERGY level) and l (the angular momentum, or SHAPE ). Radial nodes represent the DISTANCE the electron density is from the nucleus (or the probability of its location, at least) . That is why you must know n . You must know how this electron density is positioned in 3-D space, therefore you must need the l quantum number! To sketch out the nodes, it is easiest to: 1. Determine the quantum numbers for that orbital. 2. Note the shape based on the quantum number l. 3. Then determine how many nodes exist. I’ll show you a couple of ways to do this: Route 1 : As show in Class: The 1st l value “filled” has n=0 nodes, the 2nd has n=1 nodes etc. 1 s 2 s 2 p 3 s 3 p 3 d 0 node
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Unformatted text preview: 1 node 2 nodes Route 2 : You can also use a formula to calculate the number of radial nodes. # Radial Nodes = n l-1 Where n and l are you orbital quantum #s 3 nodes 10/16/10 Lets compare a 4s vs. a 5s First , write down the quantum numbers for each: n=4 n=5 l=0 l=0 Okay, they both have the same SHAPE (b/c l=0, which is an s orbital a sphere). Second , determine the number of radial nodes: For 4s For 5s Route 1: its in purple region = 3 nodes its after purple = 4 nodes! Or Route 2: # = 4-0-1 = 3 # = 5-0-1 = 4 The dotted lines represent the radial nodes. Drawing : First draw the shape (for these examples, its an s orbital, so its basically a circle. Then add the nodes with dotted lines in the same shape as additional layers....
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Radial nodes - 1 node 2 nodes Route 2 : You can also use a...

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