A pretty interesting function: The function used to find out the value of magnetic dipole moment: sqrt(n(n+2)) or µ= √n(n+2) has a pretty weird solution.

Whenever, asked to find out the number of valence electron from a given value of µ, use this: the first integer, gives the value of number of unpaired electron. illustration: if µ= 4.9 B.M. the value of unpaired electron is 4.

it also works another way, when given a value of 'n', the value of 'µ' can be easily found in the same way. illustration: if n=5, µ=5.9 BM (simply write, "the value of n+ 0.9")

P.S.: I have found this to be valid upto n=10, which is much more of a limiting case, and its hardly given in the questions. Please note that, for n= 1, 2, 3, the second illustration has different results such as 1.7, 2.8 and 3.8 respectively, but they are just special cases, the first one is valid for any case.

P.P.S.: when given the value of µ, make sure it ends with .9, if not, round it off, and then ascertain the value of n.

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0 by Rishi Ranjan Shrivastava | link