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: B2PLYP=FULLultrafine/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 B2PLYP=FULLultrafine/aug-cc-pVTZ
 hartrees
Energy at 0K-79.784471
Energy at 298.15K 
HF Energy-79.652256
Nuclear repulsion energy42.348174
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 B2PLYP=FULLultrafine/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 3055 2930 0.00 349.42 0.00 0.01
2 A1g 1435 1376 0.00 0.03 0.44 0.61
3 A1g 1010 968 0.00 13.02 0.18 0.30
4 A1u 306 294 0.00 0.00 0.00 0.00
5 A2u 3055 2930 56.72 0.00 0.00 0.00
6 A2u 1421 1363 0.88 0.00 0.00 0.00
7 Eg 3103 2976 0.00 119.70 0.75 0.86
7 Eg 3103 2976 0.00 119.70 0.75 0.86
8 Eg 1520 1458 0.00 8.29 0.75 0.86
8 Eg 1520 1458 0.00 8.29 0.75 0.86
9 Eg 1234 1184 0.00 0.07 0.75 0.86
9 Eg 1234 1184 0.00 0.07 0.75 0.86
10 Eu 3127 2999 60.09 0.00 0.00 0.00
10 Eu 3127 2999 60.09 0.00 0.00 0.00
11 Eu 1522 1459 8.54 0.00 0.00 0.00
11 Eu 1522 1459 8.54 0.00 0.00 0.00
12 Eu 830 796 3.25 0.00 0.00 0.00
12 Eu 830 796 3.25 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 16477.1 cm-1
Scaled (by 0.9591) Zero Point Vibrational Energy (zpe) 15803.2 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 B2PLYP=FULLultrafine/aug-cc-pVTZ
ABC
2.70834 0.67023 0.67023

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP=FULLultrafine/aug-cc-pVTZ

Point Group is D3d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.762
C2 0.000 0.000 -0.762
H3 0.000 1.015 1.157
H4 -0.879 -0.507 1.157
H5 0.879 -0.507 1.157
H6 0.000 -1.015 -1.157
H7 -0.879 0.507 -1.157
H8 0.879 0.507 -1.157

Atom - Atom Distances (Å)
  C1 C2 H3 H4 H5 H6 H7 H8
C11.52431.08881.08881.08882.17112.17112.1711
C21.52432.17112.17112.17111.08881.08881.0888
H31.08882.17111.75731.75733.07802.52712.5271
H41.08882.17111.75731.75732.52712.52713.0780
H51.08882.17111.75731.75732.52713.07802.5271
H62.17111.08883.07802.52712.52711.75731.7573
H72.17111.08882.52712.52713.07801.75731.7573
H82.17111.08882.52713.07802.52711.75731.7573

picture of Ethane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 H6 111.277 C1 C2 H7 111.277
C1 C2 H8 111.277 C2 C1 H3 111.277
C2 C1 H4 111.277 C2 C1 H5 111.277
H3 C1 H4 107.606 H3 C1 H5 107.606
H4 C1 H5 107.606 H6 C2 H7 107.606
H6 C2 H8 107.606 H7 C2 H8 107.606
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP=FULLultrafine/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.729      
2 C -0.729      
3 H 0.243      
4 H 0.243      
5 H 0.243      
6 H 0.243      
7 H 0.243      
8 H 0.243      


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 -15.008 0.000 0.000
y 0.000 -15.008 0.000
z 0.000 0.000 -15.767
Traceless
 xyz
x 0.380 0.000 0.000
y 0.000 0.380 0.000
z 0.000 0.000 -0.759
Polar
3z2-r2-1.518
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 4.041 0.000 0.000
y 0.000 4.041 0.000
z 0.000 0.000 4.632


<r2> (average value of r2) Å2
<r2> 30.714
(<r2>)1/2 5.542

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at B2PLYP=FULLultrafine/aug-cc-pVTZ
 hartrees
Energy at 0K-79.780184
Energy at 298.15K 
HF Energy-79.647812
Nuclear repulsion energy42.181797
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 B2PLYP=FULLultrafine/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' 3070 2944 0.00      
2 A1' 1452 1393 0.00      
3 A1' 1007 966 0.00      
4 A1" 302i 290i 0.00      
5 A2" 3062 2937 58.85      
6 A2" 1419 1361 0.51      
7 E' 3135 3007 50.88      
7 E' 3135 3007 50.88      
8 E' 1529 1466 10.19      
8 E' 1529 1466 10.18      
9 E' 908 871 2.39      
9 E' 908 871 2.39      
10 E" 3112 2985 0.00      
10 E" 3112 2985 0.00      
11 E" 1521 1458 0.00      
11 E" 1521 1458 0.00      
12 E" 1188 1139 0.00      
12 E" 1188 1139 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 16247.0 cm-1
Scaled (by 0.9591) Zero Point Vibrational Energy (zpe) 15582.5 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 B2PLYP=FULLultrafine/aug-cc-pVTZ
ABC
2.72891 0.65891 0.65891

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP=FULLultrafine/aug-cc-pVTZ

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.769
C2 0.000 0.000 -0.769
H3 0.000 1.011 1.171
H4 -0.875 -0.505 1.171
H5 0.875 -0.505 1.171
H6 0.000 1.011 -1.171
H7 0.875 -0.505 -1.171
H8 -0.875 -0.505 -1.171

Atom - Atom Distances (Å)
  C1 C2 H3 H4 H5 H6 H7 H8
C11.53851.08771.08771.08772.18782.18782.1878
C21.53852.18782.18782.18781.08771.08771.0877
H31.08772.18781.75061.75062.34212.92412.9241
H41.08772.18781.75061.75062.92412.92412.3421
H51.08772.18781.75061.75062.92412.34212.9241
H62.18781.08772.34212.92412.92411.75061.7506
H72.18781.08772.92412.92412.34211.75061.7506
H82.18781.08772.92412.34212.92411.75061.7506

picture of Ethane state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 H6 111.679 C1 C2 H7 111.679
C1 C2 H8 111.679 C2 C1 H3 111.679
C2 C1 H4 111.679 C2 C1 H5 111.679
H3 C1 H4 107.176 H3 C1 H5 107.176
H4 C1 H5 107.176 H6 C2 H7 107.176
H6 C2 H8 107.176 H7 C2 H8 107.176
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP=FULLultrafine/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.747      
2 C -0.747      
3 H 0.249      
4 H 0.249      
5 H 0.249      
6 H 0.249      
7 H 0.249      
8 H 0.249      


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 -14.993 0.000 0.000
y 0.000 -14.993 0.000
z 0.000 0.000 -15.759
Traceless
 xyz
x 0.383 0.000 0.000
y 0.000 0.383 0.000
z 0.000 0.000 -0.765
Polar
3z2-r2-1.531
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 4.007 0.000 0.000
y 0.000 4.007 0.000
z 0.000 0.000 4.651


<r2> (average value of r2) Å2
<r2> 30.983
(<r2>)1/2 5.566