return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

All results from a given calculation for C2H6 (Ethane)

using model chemistry: B3LYPultrafine/aug-cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D3D 1A1g
1 2 no D3H 1A1'

Conformer 1 (D3D)

Jump to S1C2
Energy calculated at B3LYPultrafine/aug-cc-pVTZ
 hartrees
Energy at 0K-79.864715
Energy at 298.15K-79.870617
HF Energy-79.864715
Nuclear repulsion energy42.260325
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at B3LYPultrafine/aug-cc-pVTZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1g 3026 2928 0.00 355.12 0.00 0.01
2 A1g 1421 1375 0.00 0.01 0.05 0.09
3 A1g 994 962 0.00 12.28 0.18 0.31
4 A1u 302 292 0.00 0.00 0.00 0.00
5 A2u 3027 2929 60.09 0.00 0.00 0.00
6 A2u 1412 1366 0.85 0.00 0.00 0.00
7 Eg 3069 2969 0.00 127.62 0.75 0.86
7 Eg 3069 2969 0.00 127.63 0.75 0.86
8 Eg 1502 1454 0.00 8.54 0.75 0.86
8 Eg 1502 1454 0.00 8.54 0.75 0.86
9 Eg 1222 1183 0.00 0.09 0.75 0.86
9 Eg 1222 1183 0.00 0.08 0.75 0.86
10 Eu 3094 2994 64.44 0.00 0.00 0.00
10 Eu 3094 2994 64.44 0.00 0.00 0.00
11 Eu 1505 1457 8.78 0.00 0.00 0.00
11 Eu 1505 1457 8.78 0.00 0.00 0.00
12 Eu 826 799 3.54 0.00 0.00 0.00
12 Eu 826 799 3.54 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 16310.2 cm-1
Scaled (by 0.9675) Zero Point Vibrational Energy (zpe) 15780.2 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at B3LYPultrafine/aug-cc-pVTZ
ABC
2.70007 0.66722 0.66722

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/aug-cc-pVTZ

Point Group is D3d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.764
C2 0.000 0.000 -0.764
H3 0.000 1.016 1.161
H4 -0.880 -0.508 1.161
H5 0.880 -0.508 1.161
H6 0.000 -1.016 -1.161
H7 -0.880 0.508 -1.161
H8 0.880 0.508 -1.161

Atom - Atom Distances (Å)
  C1 C2 H3 H4 H5 H6 H7 H8
C11.52731.09101.09101.09102.17622.17622.1762
C21.52732.17622.17622.17621.09101.09101.0910
H31.09102.17621.76001.76003.08552.53432.5343
H41.09102.17621.76001.76002.53432.53433.0855
H51.09102.17621.76001.76002.53433.08552.5343
H62.17621.09103.08552.53432.53431.76001.7600
H72.17621.09102.53432.53433.08551.76001.7600
H82.17621.09102.53433.08552.53431.76001.7600

picture of Ethane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 H6 111.350 C1 C2 H7 111.350
C1 C2 H8 111.350 C2 C1 H3 111.350
C2 C1 H4 111.350 C2 C1 H5 111.350
H3 C1 H4 107.528 H3 C1 H5 107.528
H4 C1 H5 107.528 H6 C2 H7 107.528
H6 C2 H8 107.528 H7 C2 H8 107.528
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.600      
2 C -0.600      
3 H 0.200      
4 H 0.200      
5 H 0.200      
6 H 0.200      
7 H 0.200      
8 H 0.200      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 0.000 0.000
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -15.032 0.000 0.000
y 0.000 -15.032 0.000
z 0.000 0.000 -15.756
Traceless
 xyz
x 0.362 0.000 0.000
y 0.000 0.362 0.000
z 0.000 0.000 -0.724
Polar
3z2-r2-1.447
x2-y20.000
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.105 0.000 0.000
y 0.000 4.105 0.000
z 0.000 0.000 4.711


<r2> (average value of r2) Å2
<r2> 30.817
(<r2>)1/2 5.551

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at B3LYPultrafine/aug-cc-pVTZ
 hartrees
Energy at 0K-79.860563
Energy at 298.15K 
HF Energy-79.860563
Nuclear repulsion energy42.098067
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at B3LYPultrafine/aug-cc-pVTZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1' 3041 2943 0.00      
2 A1' 1438 1391 0.00      
3 A1' 991 959 0.00      
4 A1" 295i 286i 0.00      
5 A2" 3034 2936 62.08      
6 A2" 1410 1364 0.50      
7 E' 3102 3001 54.37      
7 E' 3102 3001 54.37      
8 E' 1510 1461 10.41      
8 E' 1510 1461 10.41      
9 E' 899 870 2.61      
9 E' 899 870 2.61      
10 E" 3079 2979 0.00      
10 E" 3079 2979 0.00      
11 E" 1503 1454 0.00      
11 E" 1503 1454 0.00      
12 E" 1176 1137 0.00      
12 E" 1176 1137 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 16077.9 cm-1
Scaled (by 0.9675) Zero Point Vibrational Energy (zpe) 15555.4 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at B3LYPultrafine/aug-cc-pVTZ
ABC
2.72140 0.65610 0.65610

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/aug-cc-pVTZ

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.771
C2 0.000 0.000 -0.771
H3 0.000 1.012 1.175
H4 -0.877 -0.506 1.175
H5 0.877 -0.506 1.175
H6 0.000 1.012 -1.175
H7 0.877 -0.506 -1.175
H8 -0.877 -0.506 -1.175

Atom - Atom Distances (Å)
  C1 C2 H3 H4 H5 H6 H7 H8
C11.54111.08991.08991.08992.19292.19292.1929
C21.54112.19292.19292.19291.08991.08991.0899
H31.08992.19291.75311.75312.34962.93152.9315
H41.08992.19291.75311.75312.93152.93152.3496
H51.08992.19291.75311.75312.93152.34962.9315
H62.19291.08992.34962.93152.93151.75311.7531
H72.19291.08992.93152.93152.34961.75311.7531
H82.19291.08992.93152.34962.93151.75311.7531

picture of Ethane state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 H6 111.771 C1 C2 H7 111.771
C1 C2 H8 111.771 C2 C1 H3 111.771
C2 C1 H4 111.771 C2 C1 H5 111.771
H3 C1 H4 107.077 H3 C1 H5 107.077
H4 C1 H5 107.077 H6 C2 H7 107.077
H6 C2 H8 107.077 H7 C2 H8 107.077
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.625      
2 C -0.625      
3 H 0.208      
4 H 0.208      
5 H 0.208      
6 H 0.208      
7 H 0.208      
8 H 0.208      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 0.000 0.000
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -15.017 0.000 0.000
y 0.000 -15.017 0.000
z 0.000 0.000 -15.743
Traceless
 xyz
x 0.363 0.000 0.000
y 0.000 0.363 0.000
z 0.000 0.000 -0.726
Polar
3z2-r2-1.452
x2-y20.000
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.069 0.000 0.000
y 0.000 4.069 0.000
z 0.000 0.000 4.727


<r2> (average value of r2) Å2
<r2> 31.083
(<r2>)1/2 5.575