Formula to calculate total no. of isomers of a compound

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9 Apr 2007 17:30:37 IST
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9 Apr 2007 17:30:37 IST
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Formula to calculate total no. of isomers of a compound
DOUBLE BOND EQUIVALENTS or INDEX NUMBER:
It is a numerical value on the basis of which we can have an idea about the different type of equivalent structures we can have for a given formula.
 
Knowing the DBE the problems on structural isomerism can be more easily solved.
 
Mathematically,  
DBE= {( n(v-2))/2}+1
where n is the number of atoms
v is the valency of the atom.
Eg 1):
Consider C4H6
DBE={4(4-2)/2+6(1-2)/2}+1
={(8-6)/2}+1
=2
This implies that the molecule may contain,
1)two double bonds or one triple bond.
2)one ring and one double bond.
3)two rings.
 
Thus by knowing the DBE total number of structural isomers can be formulated.
 
Eg 2):
Consider C3H6O
DBE={3(4-2)/2+6(1-2)/2+1(2-2)/2}+1
=1
So the isomers may contain either a double bond or a ring.
 
I hope this is helpful!
 
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Comments (3)


Blazing goIITian

Joined: 15 Dec 2006 20:06:39 IST
Posts: 321
10 Apr 2007 16:45:07 IST
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Sure u bet , it IS helpful !

Scorching goIITian

Joined: 18 Feb 2007 18:57:58 IST
Posts: 285
10 Apr 2007 16:56:30 IST
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it is indeed helpful..........

Blazing goIITian

Joined: 12 Dec 2006 21:48:31 IST
Posts: 926
30 May 2007 11:15:09 IST
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Hey adarsh !
i hav read about this method in books , but I find it really confusing !!!!!
Is there no other way ?????



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