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All results from a given calculation for C2H6 (Ethane)

using model chemistry: HSEh1PBE/6-31G

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 HSEh1PBE/6-31G
 hartrees
Energy at 0K-79.708772
Energy at 298.15K-79.714709
HF Energy-79.708772
Nuclear repulsion energy42.168808
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 HSEh1PBE/6-31G
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 3065 2932 0.00 223.86 0.01 0.02
2 A1g 1467 1403 0.00 8.93 0.72 0.84
3 A1g 1042 997 0.00 8.94 0.28 0.44
4 A1u 306 293 0.00 0.00 0.00 0.00
5 A2u 3063 2930 60.04 0.00 0.00 0.00
6 A2u 1465 1401 7.50 0.00 0.00 0.00
7 Eg 3133 2997 0.00 135.68 0.75 0.86
7 Eg 3133 2997 0.00 135.68 0.75 0.86
8 Eg 1550 1483 0.00 45.69 0.75 0.86
8 Eg 1550 1483 0.00 45.69 0.75 0.86
9 Eg 1256 1201 0.00 3.67 0.75 0.86
9 Eg 1256 1201 0.00 3.67 0.75 0.86
10 Eu 3160 3023 69.53 0.00 0.00 0.00
10 Eu 3160 3023 69.53 0.00 0.00 0.00
11 Eu 1553 1486 14.56 0.00 0.00 0.00
11 Eu 1553 1486 14.56 0.00 0.00 0.00
12 Eu 859 822 8.73 0.00 0.00 0.00
12 Eu 859 822 8.73 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 16714.8 cm-1
Scaled (by 0.9566) Zero Point Vibrational Energy (zpe) 15989.3 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 HSEh1PBE/6-31G
ABC
2.67655 0.66635 0.66635

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31G

Point Group is D3d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.763
C2 0.000 0.000 -0.763
H3 0.000 1.021 1.162
H4 -0.884 -0.510 1.162
H5 0.884 -0.510 1.162
H6 0.000 -1.021 -1.162
H7 -0.884 0.510 -1.162
H8 0.884 0.510 -1.162

Atom - Atom Distances (Å)
  C1 C2 H3 H4 H5 H6 H7 H8
C11.52681.09561.09561.09562.17902.17902.1790
C21.52682.17902.17902.17901.09561.09561.0956
H31.09562.17901.76771.76773.09282.53792.5379
H41.09562.17901.76771.76772.53792.53793.0928
H51.09562.17901.76771.76772.53793.09282.5379
H62.17901.09563.09282.53792.53791.76771.7677
H72.17901.09562.53792.53793.09281.76771.7677
H82.17901.09562.53793.09282.53791.76771.7677

picture of Ethane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 H6 111.325 C1 C2 H7 111.325
C1 C2 H8 111.325 C2 C1 H3 111.325
C2 C1 H4 111.325 C2 C1 H5 111.325
H3 C1 H4 107.556 H3 C1 H5 107.556
H4 C1 H5 107.556 H6 C2 H7 107.556
H6 C2 H8 107.556 H7 C2 H8 107.556
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.486      
2 C -0.486      
3 H 0.162      
4 H 0.162      
5 H 0.162      
6 H 0.162      
7 H 0.162      
8 H 0.162      


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 -14.735 0.000 0.000
y 0.000 -14.735 0.000
z 0.000 0.000 -15.130
Traceless
 xyz
x 0.197 0.000 0.000
y 0.000 0.197 0.000
z 0.000 0.000 -0.395
Polar
3z2-r2-0.790
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 3.295 0.000 0.000
y 0.000 3.295 0.000
z 0.000 0.000 3.466


<r2> (average value of r2) Å2
<r2> 30.627
(<r2>)1/2 5.534

Conformer 2 (D3H)

Jump to S1C1
Energy calculated at HSEh1PBE/6-31G
 hartrees
Energy at 0K-79.704474
Energy at 298.15K 
HF Energy-79.704474
Nuclear repulsion energy42.028805
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 HSEh1PBE/6-31G
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' 3081 2947 0.00      
2 A1' 1491 1426 0.00      
3 A1' 1037 992 0.00      
4 A1" 298i 285i 0.00      
5 A2" 3071 2937 63.40      
6 A2" 1463 1400 7.89      
7 E' 3166 3029 57.65      
7 E' 3166 3029 57.63      
8 E' 1561 1493 16.44      
8 E' 1561 1493 16.44      
9 E' 939 898 8.90      
9 E' 939 898 8.89      
10 E" 3144 3008 0.00      
10 E" 3144 3008 0.00      
11 E" 1549 1482 0.00      
11 E" 1549 1482 0.00      
12 E" 1210 1158 0.00      
12 E" 1210 1158 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 16491.8 cm-1
Scaled (by 0.9566) Zero Point Vibrational Energy (zpe) 15776.1 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 HSEh1PBE/6-31G
ABC
2.69761 0.65656 0.65656

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31G

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 1.017 1.175
H4 -0.880 -0.508 1.175
H5 0.880 -0.508 1.175
H6 0.000 1.017 -1.175
H7 0.880 -0.508 -1.175
H8 -0.880 -0.508 -1.175

Atom - Atom Distances (Å)
  C1 C2 H3 H4 H5 H6 H7 H8
C11.53841.09471.09471.09472.19412.19412.1941
C21.53842.19412.19412.19411.09471.09471.0947
H31.09472.19411.76081.76082.35042.93682.9368
H41.09472.19411.76081.76082.93682.93682.3504
H51.09472.19411.76081.76082.93682.35042.9368
H62.19411.09472.35042.93682.93681.76081.7608
H72.19411.09472.93682.93682.35041.76081.7608
H82.19411.09472.93682.35042.93681.76081.7608

picture of Ethane state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 H6 111.772 C1 C2 H7 111.772
C1 C2 H8 111.772 C2 C1 H3 111.772
C2 C1 H4 111.772 C2 C1 H5 111.772
H3 C1 H4 107.075 H3 C1 H5 107.075
H4 C1 H5 107.075 H6 C2 H7 107.075
H6 C2 H8 107.075 H7 C2 H8 107.075
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.495      
2 C -0.495      
3 H 0.165      
4 H 0.165      
5 H 0.165      
6 H 0.165      
7 H 0.165      
8 H 0.165      


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 -14.715 0.000 0.000
y 0.000 -14.715 0.000
z 0.000 0.000 -15.053
Traceless
 xyz
x 0.169 0.000 0.000
y 0.000 0.169 0.000
z 0.000 0.000 -0.339
Polar
3z2-r2-0.677
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 3.220 0.000 0.000
y 0.000 3.220 0.000
z 0.000 0.000 3.374


<r2> (average value of r2) Å2
<r2> 30.848
(<r2>)1/2 5.554