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 CH2CHCHCH2 (1,3-Butadiene)

using model chemistry: PBEPBEultrafine/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2H 1Ag
1 2 no C2 1A

Conformer 1 (C2H)

Jump to S1C2
Energy calculated at PBEPBEultrafine/6-31G*
 hartrees
Energy at 0K-155.767327
Energy at 298.15K-155.772578
HF Energy-155.767327
Nuclear repulsion energy103.030356
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 PBEPBEultrafine/6-31G*
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 Ag 3182 3129 0.00      
2 Ag 3096 3045 0.00      
3 Ag 3076 3025 0.00      
4 Ag 1674 1647 0.00      
5 Ag 1448 1424 0.00      
6 Ag 1287 1266 0.00      
7 Ag 1211 1191 0.00      
8 Ag 889 875 0.00      
9 Ag 501 493 0.00      
10 Au 1029 1012 28.60      
11 Au 879 864 79.49      
12 Au 522 514 8.36      
13 Au 178 175 0.35      
14 Bg 962 946 0.00      
15 Bg 884 869 0.00      
16 Bg 758 745 0.00      
17 Bu 3182 3130 28.39      
18 Bu 3095 3044 7.79      
19 Bu 3086 3035 31.73      
20 Bu 1625 1599 12.36      
21 Bu 1389 1366 3.49      
22 Bu 1287 1266 2.18      
23 Bu 977 960 2.66      
24 Bu 285 280 2.21      

Unscaled Zero Point Vibrational Energy (zpe) 18251.4 cm-1
Scaled (by 0.9835) Zero Point Vibrational Energy (zpe) 17950.2 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 PBEPBEultrafine/6-31G*
ABC
1.39677 0.14585 0.13206

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

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.327 0.650 0.000
C2 0.327 -0.650 0.000
C3 0.327 1.832 0.000
C4 -0.327 -1.832 0.000
H5 -1.426 0.642 0.000
H6 1.426 -0.642 0.000
H7 -0.206 2.787 0.000
H8 1.422 1.878 0.000
H9 0.206 -2.787 0.000
H10 -1.422 -1.878 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10
C11.45571.35052.48181.09912.17812.14002.13733.47802.7552
C21.45572.48181.35052.17811.09913.47802.75522.14002.1373
C31.35052.48183.72122.11872.70691.09381.09614.61994.1014
C42.48181.35053.72122.70692.11874.61994.10141.09381.0961
H51.09912.17812.11872.70693.12812.46753.10503.79742.5201
H62.17811.09912.70692.11873.12813.79742.52012.46753.1050
H72.14003.47801.09384.61992.46753.79741.86465.58864.8207
H82.13732.75521.09614.10143.10502.52011.86464.82074.7115
H93.47802.14004.61991.09383.79742.46755.58864.82071.8646
H102.75522.13734.10141.09612.52013.10504.82074.71151.8646

picture of 1,3-Butadiene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 124.315 C1 C2 H6 116.287
C1 C3 H7 121.861 C1 C3 H8 121.402
C2 C1 C3 124.315 C2 C1 H5 116.287
C2 C4 H9 121.861 C2 C4 H10 121.402
C3 C1 H5 119.398 C4 C2 H6 119.398
H7 C3 H8 116.738 H9 C4 H10 116.738
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.069      
2 C -0.069      
3 C -0.371      
4 C -0.371      
5 H 0.135      
6 H 0.135      
7 H 0.155      
8 H 0.151      
9 H 0.155      
10 H 0.151      


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 -22.510 -0.044 0.000
y -0.044 -22.662 0.000
z 0.000 0.000 -28.010
Traceless
 xyz
x 2.825 -0.044 0.000
y -0.044 2.598 0.000
z 0.000 0.000 -5.424
Polar
3z2-r2-10.847
x2-y20.151
xy-0.044
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.204 1.407 0.000
y 1.407 11.539 0.000
z 0.000 0.000 2.345


<r2> (average value of r2) Å2
<r2> 94.743
(<r2>)1/2 9.734

Conformer 2 (C2)

Jump to S1C1
Energy calculated at PBEPBEultrafine/6-31G*
 hartrees
Energy at 0K-155.761473
Energy at 298.15K-155.766664
HF Energy-155.761473
Nuclear repulsion energy104.101846
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 PBEPBEultrafine/6-31G*
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A 3183 3130 7.76      
2 A 3100 3049 0.47      
3 A 3086 3035 34.27      
4 A 1643 1616 1.71      
5 A 1439 1415 6.99      
6 A 1317 1296 0.22      
7 A 1046 1029 0.00      
8 A 989 973 1.06      
9 A 885 871 2.38      
10 A 875 861 1.50      
11 A 732 720 2.45      
12 A 267 263 0.00      
13 A 151 148 0.15      
14 B 3181 3128 19.65      
15 B 3096 3045 4.60      
16 B 3073 3022 12.02      
17 B 1667 1640 2.04      
18 B 1407 1384 1.68      
19 B 1282 1261 0.14      
20 B 1079 1061 6.47      
21 B 998 982 28.59      
22 B 886 871 70.73      
23 B 592 582 4.98      
24 B 465 457 10.72      

Unscaled Zero Point Vibrational Energy (zpe) 18219.4 cm-1
Scaled (by 0.9835) Zero Point Vibrational Energy (zpe) 17918.8 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 PBEPBEultrafine/6-31G*
ABC
0.70585 0.18618 0.14986

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

Point Group is C2

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.087 0.729 0.560
C2 -0.087 -0.729 0.560
C3 -0.087 1.546 -0.499
C4 0.087 -1.546 -0.499
H5 0.361 1.177 1.526
H6 -0.361 -1.177 1.526
H7 0.083 2.624 -0.423
H8 -0.417 1.165 -1.471
H9 -0.083 -2.624 -0.423
H10 0.417 -1.165 -1.471

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10
C11.46891.34892.50991.09892.18322.13482.13823.49882.7974
C21.46892.50991.34892.18321.09893.49882.79742.13482.1382
C31.34892.50993.09732.10623.40431.09401.09564.17132.9242
C42.50991.34893.09733.40432.10624.17132.92421.09401.0956
H51.09892.18322.10623.40432.46222.44313.09664.29453.8040
H62.18321.09893.40432.10622.46224.29453.80402.44313.0966
H72.13483.49881.09404.17132.44314.29451.86535.25133.9460
H82.13822.79741.09562.92423.09663.80401.86533.94602.4749
H93.49882.13484.17131.09404.29452.44315.25133.94601.8653
H102.79742.13822.92421.09563.80403.09663.94602.47491.8653

picture of 1,3-Butadiene state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 125.884 C1 C2 H6 115.722
C1 C3 H7 121.478 C1 C3 H8 121.682
C2 C1 C3 125.884 C2 C1 H5 115.722
C2 C4 H9 121.478 C2 C4 H10 121.682
C3 C1 H5 118.379 C4 C2 H6 118.379
H7 C3 H8 116.835 H9 C4 H10 116.835
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.095      
2 C -0.095      
3 C -0.349      
4 C -0.349      
5 H 0.140      
6 H 0.140      
7 H 0.153      
8 H 0.152      
9 H 0.153      
10 H 0.152      


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 0.119 0.119
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.559 0.617 0.000
y 0.617 -22.711 0.000
z 0.000 0.000 -22.663
Traceless
 xyz
x -4.872 0.617 0.000
y 0.617 2.400 0.000
z 0.000 0.000 2.472
Polar
3z2-r24.944
x2-y2-4.848
xy0.617
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.681 0.067 0.000
y 0.067 9.349 0.000
z 0.000 0.000 6.740


<r2> (average value of r2) Å2
<r2> 86.416
(<r2>)1/2 9.296