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: B1B95/6-31+G**

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 B1B95/6-31+G**
 hartrees
Energy at 0K-79.777013
Energy at 298.15K-79.782921
HF Energy-79.777013
Nuclear repulsion energy42.298849
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 B1B95/6-31+G**
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 3068 2935 0.00 262.93 0.01 0.02
2 A1g 1433 1371 0.00 2.29 0.58 0.74
3 A1g 1027 982 0.00 12.80 0.29 0.44
4 A1u 313 299 0.00 0.00 0.00 0.00
5 A2u 3067 2934 64.74 0.00 0.00 0.00
6 A2u 1404 1343 2.20 0.00 0.00 0.00
7 Eg 3132 2996 0.00 143.04 0.75 0.86
7 Eg 3132 2996 0.00 143.04 0.75 0.86
8 Eg 1509 1444 0.00 21.37 0.75 0.86
8 Eg 1509 1444 0.00 21.36 0.75 0.86
9 Eg 1218 1165 0.00 0.84 0.75 0.86
9 Eg 1218 1165 0.00 0.84 0.75 0.86
10 Eu 3155 3019 63.07 0.00 0.00 0.00
10 Eu 3155 3019 63.07 0.00 0.00 0.00
11 Eu 1509 1443 12.67 0.00 0.00 0.00
11 Eu 1509 1443 12.67 0.00 0.00 0.00
12 Eu 824 788 4.90 0.00 0.00 0.00
12 Eu 824 788 4.90 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 16503.0 cm-1
Scaled (by 0.9566) Zero Point Vibrational Energy (zpe) 15786.8 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 B1B95/6-31+G**
ABC
2.69452 0.67048 0.67048

See section I.F.4 to change rotational constant units
Geometric Data calculated at B1B95/6-31+G**

Point Group is D3d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.761
C2 0.000 0.000 -0.761
H3 0.000 1.017 1.159
H4 -0.881 -0.509 1.159
H5 0.881 -0.509 1.159
H6 0.000 -1.017 -1.159
H7 -0.881 0.509 -1.159
H8 0.881 0.509 -1.159

Atom - Atom Distances (Å)
  C1 C2 H3 H4 H5 H6 H7 H8
C11.52151.09241.09241.09242.17272.17272.1727
C21.52152.17272.17272.17271.09241.09241.0924
H31.09242.17271.76181.76183.08442.53172.5317
H41.09242.17271.76181.76182.53172.53173.0844
H51.09242.17271.76181.76182.53173.08442.5317
H62.17271.09243.08442.53172.53171.76181.7618
H72.17271.09242.53172.53173.08441.76181.7618
H82.17271.09242.53173.08442.53171.76181.7618

picture of Ethane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 H6 111.391 C1 C2 H7 111.391
C1 C2 H8 111.391 C2 C1 H3 111.391
C2 C1 H4 111.391 C2 C1 H5 111.391
H3 C1 H4 107.485 H3 C1 H5 107.485
H4 C1 H5 107.485 H6 C2 H7 107.485
H6 C2 H8 107.485 H7 C2 H8 107.485
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B1B95/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.468      
2 C -0.468      
3 H 0.156      
4 H 0.156      
5 H 0.156      
6 H 0.156      
7 H 0.156      
8 H 0.156      


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 -14.891 0.000 0.000
y 0.000 -14.891 0.000
z 0.000 0.000 -15.543
Traceless
 xyz
x 0.326 0.000 0.000
y 0.000 0.326 0.000
z 0.000 0.000 -0.652
Polar
3z2-r2-1.303
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 3.597 0.000 0.000
y 0.000 3.597 0.000
z 0.000 0.000 3.978


<r2> (average value of r2) Å2
<r2> 30.651
(<r2>)1/2 5.536

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at B1B95/6-31+G**
 hartrees
Energy at 0K-79.772586
Energy at 298.15K 
HF Energy-79.772586
Nuclear repulsion energy42.139587
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 B1B95/6-31+G**
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' 3083 2949 0.00      
2 A1' 1453 1390 0.00      
3 A1' 1025 981 0.00      
4 A1" 303i 290i 0.00      
5 A2" 3075 2941 69.40      
6 A2" 1403 1342 2.07      
7 E' 3162 3025 52.22      
7 E' 3162 3025 52.22      
8 E' 1516 1450 14.85      
8 E' 1516 1450 14.85      
9 E' 902 863 4.40      
9 E' 902 863 4.40      
10 E" 3141 3005 0.00      
10 E" 3141 3005 0.00      
11 E" 1506 1441 0.00      
11 E" 1506 1441 0.00      
12 E" 1168 1118 0.00      
12 E" 1168 1118 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 16263.9 cm-1
Scaled (by 0.9566) Zero Point Vibrational Energy (zpe) 15558.1 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 B1B95/6-31+G**
ABC
2.71796 0.65945 0.65945

See section I.F.4 to change rotational constant units
Geometric Data calculated at B1B95/6-31+G**

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.767
C2 0.000 0.000 -0.767
H3 0.000 1.013 1.174
H4 -0.877 -0.506 1.174
H5 0.877 -0.506 1.174
H6 0.000 1.013 -1.174
H7 0.877 -0.506 -1.174
H8 -0.877 -0.506 -1.174

Atom - Atom Distances (Å)
  C1 C2 H3 H4 H5 H6 H7 H8
C11.53441.09141.09141.09142.18962.18962.1896
C21.53442.18962.18962.18961.09141.09141.0914
H31.09142.18961.75421.75422.34822.93102.9310
H41.09142.18961.75421.75422.93102.93102.3482
H51.09142.18961.75421.75422.93102.34822.9310
H62.18961.09142.34822.93102.93101.75421.7542
H72.18961.09142.93102.93102.34821.75421.7542
H82.18961.09142.93102.34822.93101.75421.7542

picture of Ethane state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 H6 111.888 C1 C2 H7 111.888
C1 C2 H8 111.888 C2 C1 H3 111.888
C2 C1 H4 111.888 C2 C1 H5 111.888
H3 C1 H4 106.950 H3 C1 H5 106.950
H4 C1 H5 106.950 H6 C2 H7 106.950
H6 C2 H8 106.950 H7 C2 H8 106.950
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B1B95/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.477      
2 C -0.477      
3 H 0.159      
4 H 0.159      
5 H 0.159      
6 H 0.159      
7 H 0.159      
8 H 0.159      


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 -14.886 0.000 0.000
y 0.000 -14.886 0.000
z 0.000 0.000 -15.510
Traceless
 xyz
x 0.312 0.000 0.000
y 0.000 0.312 0.000
z 0.000 0.000 -0.624
Polar
3z2-r2-1.248
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 3.547 0.000 0.000
y 0.000 3.547 0.000
z 0.000 0.000 3.888


<r2> (average value of r2) Å2
<r2> 30.916
(<r2>)1/2 5.560