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Electromagnetic Radiation Equations
c=\lambda\nu
E = hv = \frac{hc}{\lambda}
Wave number
1 / lambda
FG region
>/= to 1500 cm-1
Fingerprint Region
< 1500cm-1
Hooke’s Law
frequenct wavenumber =
k\sqrt{\frac{f}{m}}
stronger (f) bond = higher frequency
smaller mass = higher frequency
Increasing Wavenumber and Energy Trend (right to left)
single bonds < double bonds < triple bonds < bonds to HYDROGEN
O-H absorption
3600-3200
strong broad
N-H absorption
3500-3200
medium
C-H absorption
~3000
Csp3-H = 3000-2850 strong
Csp2-H = 3150-3000 medium
Csp-H = 3300 medium
CC TRIPLE bond
2250 medium
CN TRIPLE bond
2250 medium
CO DOUBLE bond
1800-1650 (often 1700)
strong
CC DOUBLE bond
1650
medium
Benzene ring
1600,1500
medium
Effect of sp character on CH absorptions
Bond Strength and Wavenumber INCREASES with HIGHER % s-character
Alkanes
only CC bonds
sp3 hybridized C atoms = 3000-2850 (strong)
Alkenes
Csp2—H = 3150-3000 (medium)
Csp3—3000-2850 (strong)
CC Double = 1650 (medium)
Alkynes
Csp—H = 3300 (medium)
Csp3—H = 3000-2850 (strong)
CC Triple = 2250 (medium)
Aromatic Compounds with Benzene rings
Csp2—H = 3150-3000 (medium)
Csp3—H = 3000-2850 (strong)
Benzene ring = 1600,1500 (medium)
Alcohols
OH group at 3600-3200 (strong, broad)
Ethers
Csp3—H = 3000-2850 (strong)
Compounds that contain an oxygen atom but do NOT show an OH or C=O absorption are ethers
Aldehydes
C=O at 1700 (strong)
Csp²—H of CH = 2830-2700
Csp³—H = 3000-2850 (strong)
Ketones
Csp³—H = 3000-2850 (strong)
C=O = 1700 (strong)
Shifts to higher wavenumber when SIZE of the ring DECREASES
Carboxylic Acids
O-H = 3500-2500 (broad,strong)
C=O = 1700 (strong)
Esters
Csp³—H = 3000-2850 (strong)
C=O = 1700 strong
Amide
N—H = 3400-3200 (1 or 2 peaks)
C=O = 1700 (strong)
N-H = 1700 (medium)
Amines
N-H:
3300
3400
Nitriles
triple bond region: 2250 (medium)
NH = 3500-3300
Chemical Shift Equation
observed chemical shift downfield from TMS / v of the NMR spectrometer (MHz)
1 MHz = 10^6 Hz
Chemical shift values
RCH3 = 0.9
R2CH2 = 1.3
R3CH = 1.7
Z=VH = 1.5-2.5
triple bond H = 2.5
ZR2CH = 2.5-4
RY=\H = 4.5-6
benzene ring = 6.5-8
RO=CH = 9-10
RO=COH = 10-12
ROH or RNH = 1-5