WAVE MECHANICS (Schrödinger, 1926) The currently accepted version of quantum mechanics which takes into account the wave nature of matter and the uncertainty principle. * The state of an electron is described by a function , called the “wave function”. * can be obtained by solving Schrödinger’s equation (a differential equation): H = E This equation can be solved exactly only for the H atom ^
* The state of an electron is described by a function y , called the “wave function”. * y can be obtained by solving Schrödinger’s equation (a differential equation): H y = E y This equation can be solved exactly only for the H atom. ^. WAVE MECHANICS (Schrödinger, 1926). - PowerPoint PPT Presentation
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WAVE MECHANICS (Schrödinger, 1926)
The currently accepted version of quantum mechanics which takes into account the wave nature of matter and the uncertainty principle.
* The state of an electron is described by a function , called the “wave function”.
* can be obtained by solving Schrödinger’s equation (a differential equation):
H = E This equation can be solved exactly only for the H atom^
WAVE MECHANICS
* This equation has multiple solutions (“orbitals”), each corresponding to a different energy level. * Each orbital is characterized by three quantum numbers:
n : principal quantum numbern=1,2,3,...
l : azimuthal quantum numberl= 0,1,…n-1
ml: magnetic quantum numberml= -l,…,+l
WAVE MECHANICS
* The energy depends only on the principal quantum number, as in the Bohr model:
En = -2.179 X 10-18J /n2 * The orbitals are named by giving the n value followed by a letter symbol for l:
l= 0,1, 2, 3, 4, 5, ... s p d f g h ...
* All orbitals with the same n are called a “shell”.All orbitals with the same n and l are called a “subshell”.