YOU CAN DETERMINE THE NUMBER OF RINGS AND / OR DOUBLE BONDS.
FORMATION OF RINGS AND DOUBLE BONDS Notice that the general formula for the compound, , changes when a double or triple bond is present:
C2H6 C3H8 C4H10 C5H12
Adding a degree of unsaturation decreases the number of H atoms by two.
CH3 CH3 CH3 CH CH C CH3
WHAT CAN YOU LEARN FROM A MOLECULAR FORMULA ?
C9H20
CH3 branched compounds also follow the formula
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FORMATION OF RINGS AND DOUBLE BONDS -2H
C C
Index of Hydrogen Deficiency
C C
Index of Hydrogen Deficiency (IHD): the sum of the number of rings and pi bonds in a molecule.
C C
To determine IHD, compare the number of hydrogens in an unknown compound’s equivalent hydrocarbon with the number in a reference hydrocarbon of the same number of carbons and with no rings or pi bonds
H H H H
-4H
C C H H H2C H2C
CH2 CH2 H CH2
-2H
CH2 H
H2C H2C
CH2 CH2 CH2
CH2
the molecular formula of the reference hydrocarbon is CnH2n+2
Formation of each ring or double bond causes the loss of 2H.
Index of Hydrogen Deficiency Summary of how the index of hydrogen deficiency works
A double bond and ring each counts as one IHD A triple bond counts as two IHD CALCULATION METHOD Determine the expected formula for a noncyclic, saturated compound ( CnH2n+2 ) with the same
Index of Hydrogen Deficiency Example 1 : A compound with molecular formula C6H12 C6H14 = formula corresponding alkane (hexane) C6H12 = formula of compound (1-hexene or cyclohexane) H2 = difference = 1 pair of hydrogen atoms IHD = 1
Example 2 : A compound with molecular formula C5H8
number of carbon atoms as your compound. Correct the formula for heteroatoms Subtract the actual formula of your compound
C5H12
= ( CnH2n+2 )
C5H8 H4
Index = 4/2 = 2
Two Unsaturations double bond and ring in this example
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Index of Hydrogen Deficiency
Example 3 : A compound with molecular formula C4H5N
CORRECTIONS FOR ATOMS OTHER THAN HYDROGEN
O or S -- doesn’t change H in calculated formula (Ignore)
H
C4H10
= ( CnH2n+2 )
C4H11N
+0
C-H
+O
C-H
+N,+H
add one H for N
C-O-H C 4 H5 N
N or P -- add one H to the calculated formula
+1
N
H6 C-NH2
Index = 6/2 = 3
two double bonds and ring in this example
F, Cl, Br, I -- subtract one H from calculated
formula
-1
C-H
-H,+X
C-X
The index gives the number of • double bonds or • triple bonds or • rings in a molecule Benzene
one ring and the equivalent of three double bonds gives an index of 4
PROBLEM
INDEX
A hydrocarbon has a molecular formula of C6H8. It will react with hydrogen and a palladium catalyst to give a compound of formula C6H12. Give a possible structure.
C6H14 -C6H8 H6
If index = 4, or more, expect a benzene ring
Index = 6/2 = 3
HYDROGENATION C6H8
+ 2 H2
Pd
C6H12
Hydrogenation shows only two double bonds. Therefore, there must also be a ring.
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A FEW POSSIBLE ANSWERS CH3 CH3
H3C
CH3
CH3
CH2CH3 ..... there is still work required to fully solve the problem
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