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Grade: 11

                        

In our textbook it says that the angular momentum of an electron in an orbital is given by the formula: L=2(pi) ÷(root of l(l+1)) where l is the azimuthal quantum no. By doubts: According to quantum mechanics, you cant determine the velocity and position at the same time. If this is the case how is angular momentum even related In the formual if i calculate the angular momentum of an electon in the 3s orbital the angular momentum=0. if this is true then wont the electron fall into the nucleus.

4 years ago

Answers : (1)

yash
25 Points
							
 The reason that you have mentioned is wrong that it cannot be zero .. Yes it is zero and should be . The main fact that arises in your mind is how can a partical move if its angular momentum is zero . this where the mistake took place . your are using L=mvr which is for a particle system used in classical mechanics , but electron is not a partical it is wave in quamtum mechanics and the method to calculate are different
 
4 years ago
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