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Derivation of formula for Degreethe degree of Unsaturationunsaturation

Degree of Unsaturation  (DU) of an organic compound tells us about the total number of π bonds  (both double bonds and triple bonds) and number of rings/cyclic chains in the compound.

Degree of unsaturation forms an integral part of the four tools used to identify the structure of an organic compound  (some of the others being structure after hydration and ozonolysis (there's one more iI don't remember)).

Wikipedia states the formula of Degreedegree of Unsaturationunsaturation as:

Rings + pi bonds=CH2X2+N2+1Rings + π-bonds=CH2X2+N2+1 where CC = number of carbons, HH = number of hydrogens, X=X = number of halogens and NN = number of nitrogens

A more general formula is stated as

Fundamental formula
DU=1+12ni(vi2) where  ni is the number of atoms with valence vi.

###WhatWhat I'm interested is the underlying concept from which this formula is derived.

Derivation of formula for Degree of Unsaturation

Degree of Unsaturation(DU) of an organic compound tells us about the total number of π bonds(both double bonds and triple bonds) and number of rings/cyclic chains in the compound.

Degree of unsaturation forms an integral part of the four tools used to identify the structure of an organic compound(some of the others being structure after hydration and ozonolysis (there's one more i don't remember)).

Wikipedia states the formula of Degree of Unsaturation as:

Rings + pi bonds=CH2X2+N2+1 where C = number of carbons, H = number of hydrogens, X= number of halogens and N = number of nitrogens

A more general formula is stated as

Fundamental formula
where  ni is the number of atoms with valence vi

###What I'm interested is the underlying concept from which this formula is derived.

Derivation of formula for the degree of unsaturation

Degree of Unsaturation  (DU) of an organic compound tells us about the total number of π bonds  (both double bonds and triple bonds) and number of rings/cyclic chains in the compound.

Degree of unsaturation forms an integral part of the four tools used to identify the structure of an organic compound  (some of the others being structure after hydration and ozonolysis (there's one more I don't remember)).

Wikipedia states the formula of degree of unsaturation as:

Rings + π-bonds=CH2X2+N2+1 where C = number of carbons, H = number of hydrogens, X = number of halogens and N = number of nitrogens

A more general formula is stated as

DU=1+12ni(vi2) where ni is the number of atoms with valence vi.

What I'm interested is the underlying concept from which this formula is derived.

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Degree of Unsaturation(DU) of an organic compound tells us about the total number of π bonds(both double bonds and triple bonds) and number of rings/cyclic chains in the compound.

Degree of unsaturation forms an integral part of the four tools used to identify the structure of an organic compound(some of the others being structure after hydration and ozonolysis (there's one more i don't remember)).

Wikipedia states the formula of Degree of Unsaturation as:

Formula for Degree of Unsaturation
Rings + pi bonds=CH2X2+N2+1 where C = number of carbons, H = number of hydrogens, X= number of halogens and N = number of nitrogens

A more general formula is stated as

Fundamental formula
where ni is the number of atoms with valence vi

###What I'm interested is the underlying concept from which this formula is derived.

Degree of Unsaturation(DU) of an organic compound tells us about the total number of π bonds(both double bonds and triple bonds) and number of rings/cyclic chains in the compound.

Degree of unsaturation forms an integral part of the four tools used to identify the structure of an organic compound(some of the others being structure after hydration and ozonolysis (there's one more i don't remember)).

Wikipedia states the formula of Degree of Unsaturation as:

Formula for Degree of Unsaturation
where C = number of carbons, H = number of hydrogens, X= number of halogens and N = number of nitrogens

A more general formula is stated as

Fundamental formula
where ni is the number of atoms with valence vi

###What I'm interested is the underlying concept from which this formula is derived.

Degree of Unsaturation(DU) of an organic compound tells us about the total number of π bonds(both double bonds and triple bonds) and number of rings/cyclic chains in the compound.

Degree of unsaturation forms an integral part of the four tools used to identify the structure of an organic compound(some of the others being structure after hydration and ozonolysis (there's one more i don't remember)).

Wikipedia states the formula of Degree of Unsaturation as:

Rings + pi bonds=CH2X2+N2+1 where C = number of carbons, H = number of hydrogens, X= number of halogens and N = number of nitrogens

A more general formula is stated as

Fundamental formula
where ni is the number of atoms with valence vi

###What I'm interested is the underlying concept from which this formula is derived.

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Derivation of formula for Degree of Unsaturation

Degree of Unsaturation(DU) of an organic compound tells us about the total number of π bonds(both double bonds and triple bonds) and number of rings/cyclic chains in the compound.

Degree of unsaturation forms an integral part of the four tools used to identify the structure of an organic compound(some of the others being structure after hydration and ozonolysis (there's one more i don't remember)).

Wikipedia states the formula of Degree of Unsaturation as:

Formula for Degree of Unsaturation
where C = number of carbons, H = number of hydrogens, X= number of halogens and N = number of nitrogens

A more general formula is stated as

Fundamental formula
where ni is the number of atoms with valence vi

###What I'm interested is the underlying concept from which this formula is derived.