Thursday, February 28, 2013

Hydrogen Wave Functions

In the following text you will see my expression on what I have learned so farthest on the formation of the Hydrogen atom. A figure on each page is shown of different Hydrogen levels. A henry atom is a single positively charged proton with an orbiting negatively charged negatron. Each Hydrogen level is dependent on three quantum numbers. The first quantum number is the principle quantum number which takes the states of n = 1, 2, 3, 4, ... . This quantum number reflects the Bohr radius of the orbit on which the electron moves and the come energy of the atom. The second quantum number is the angulate quantum number l = 0, 1, 2, 3, 4, ...n - 1. The angulate quantum number is related to the angular momentum of an electron when its moving around a nucleus. The third quantum number is the charismatic quantum number with m = l, l - 1, l - 2, ..., -l+1, -l. in that location argon n - 1 total nodes, l of which argon angular nodes. The remaining n - l - 1 nodes be stellate. An angular wave function s with l = 0 is commonly called the ball. An l = 1 angular wave function p is called the dumb-bell. An l = 3 wave function d is called a clover leaf. And finally a l = 4 angular wave function f is casually called the flower. Where there are nodes in the wave functions of the atom there is zero immersion and zero probability of finding the electron at the node.

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These are represented by black lines in the right well-nigh density graph.


The ground state 1s is when n = 1 and l = 0. This is the state of the lowest possible energy where an electron is found. at that place are no nodes in angular. (l = 0). The quantum number l represents how umpteen crest and through lobes there are during a 360 stagecoach process. Since l = 0 in the ground state, there are 0 X 2 = 0 lobes in angular. There are no nodes in the radial (middle) function since n l 1 = 1 0 1 = 0. The radial wave function has n l lobes; in this case, 1 0 = 1 lobe. Since the density graph is yellow (+), this lobe is a crest lobe (painted...If you want to get a full essay, purchase order it on our website: Orderessay



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