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: mPW1PW91/aug-cc-pVDZ

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 mPW1PW91/aug-cc-pVDZ
 hartrees
Energy at 0K-155.967121
Energy at 298.15K-155.972530
Nuclear repulsion energy103.571402
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 mPW1PW91/aug-cc-pVDZ
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 3269 3133 0.00      
2 Ag 3175 3043 0.00      
3 Ag 3165 3033 0.00      
4 Ag 1729 1657 0.00      
5 Ag 1465 1404 0.00      
6 Ag 1311 1257 0.00      
7 Ag 1231 1179 0.00      
8 Ag 907 869 0.00      
9 Ag 516 495 0.00      
10 Au 1055 1011 36.08      
11 Au 953 913 84.66      
12 Au 541 519 13.10      
13 Au 181 174 0.72      
14 Bg 1004 962 0.00      
15 Bg 951 912 0.00      
16 Bg 785 752 0.00      
17 Bu 3269 3133 20.34      
18 Bu 3182 3049 12.38      
19 Bu 3168 3036 14.75      
20 Bu 1667 1597 23.19      
21 Bu 1407 1349 5.87      
22 Bu 1311 1256 2.18      
23 Bu 993 952 2.01      
24 Bu 296 283 2.90      

Unscaled Zero Point Vibrational Energy (zpe) 18764.7 cm-1
Scaled (by 0.9583) Zero Point Vibrational Energy (zpe) 17982.2 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 mPW1PW91/aug-cc-pVDZ
ABC
1.40352 0.14755 0.13351

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/aug-cc-pVDZ

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 1.820 0.000
C4 -0.327 -1.820 0.000
H5 -1.420 0.646 0.000
H6 1.420 -0.646 0.000
H7 -0.205 2.770 0.000
H8 1.417 1.861 0.000
H9 0.205 -2.770 0.000
H10 -1.417 -1.861 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10
C11.45461.34062.47001.09332.17492.12352.12293.46072.7372
C21.45462.47001.34062.17491.09333.46072.73722.12352.1229
C31.34062.47003.69882.10502.69761.08851.09064.59174.0733
C42.47001.34063.69882.69762.10504.59174.07331.08851.0906
H51.09332.17492.10502.69763.12002.44683.08603.78272.5069
H62.17491.09332.69762.10503.12003.78272.50692.44683.0860
H72.12353.46071.08854.59172.44683.78271.85925.55484.7867
H82.12292.73721.09064.07333.08602.50691.85924.78674.6778
H93.46072.12354.59171.08853.78272.44685.55484.78671.8592
H102.73722.12294.07331.09062.50693.08604.78674.67781.8592

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 124.120 C1 C2 H6 116.495
C1 C3 H7 121.551 C1 C3 H8 121.324
C2 C1 C3 124.120 C2 C1 H5 116.495
C2 C4 H9 121.551 C2 C4 H10 121.324
C3 C1 H5 119.385 C4 C2 H6 119.385
H7 C3 H8 117.125 H9 C4 H10 117.125
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 1.216      
2 C 1.216      
3 C 0.285      
4 C 0.285      
5 H -0.646      
6 H -0.646      
7 H -0.411      
8 H -0.445      
9 H -0.411      
10 H -0.445      


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 -22.849 0.027 0.000
y 0.027 -23.213 0.000
z 0.000 0.000 -29.065
Traceless
 xyz
x 3.291 0.027 0.000
y 0.027 2.744 0.000
z 0.000 0.000 -6.034
Polar
3z2-r2-12.069
x2-y20.365
xy0.027
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.117 1.518 0.000
y 1.518 12.759 0.000
z 0.000 0.000 5.469


<r2> (average value of r2) Å2
<r2> 94.268
(<r2>)1/2 9.709

Conformer 2 (C2)

Jump to S1C1
Energy calculated at mPW1PW91/aug-cc-pVDZ
 hartrees
Energy at 0K-155.961482
Energy at 298.15K-155.966830
HF Energy-155.961482
Nuclear repulsion energy104.666929
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 mPW1PW91/aug-cc-pVDZ
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 3270 3133 4.71      
2 A 3184 3051 7.64      
3 A 3169 3037 16.75      
4 A 1702 1631 1.95      
5 A 1458 1397 11.86      
6 A 1338 1283 0.04      
7 A 1069 1024 0.06      
8 A 1011 969 2.35      
9 A 955 915 7.64      
10 A 896 858 0.79      
11 A 758 726 3.62      
12 A 270 259 0.00      
13 A 165 158 0.26      
14 B 3268 3132 14.36      
15 B 3173 3040 8.56      
16 B 3165 3033 4.02      
17 B 1709 1638 7.56      
18 B 1426 1366 2.60      
19 B 1307 1253 0.37      
20 B 1099 1053 4.70      
21 B 1026 984 29.65      
22 B 956 916 77.11      
23 B 618 592 9.79      
24 B 468 449 15.57      

Unscaled Zero Point Vibrational Energy (zpe) 18729.9 cm-1
Scaled (by 0.9583) Zero Point Vibrational Energy (zpe) 17948.8 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 mPW1PW91/aug-cc-pVDZ
ABC
0.71788 0.18702 0.15195

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/aug-cc-pVDZ

Point Group is C2

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.103 0.726 0.551
C2 -0.103 -0.726 0.551
C3 -0.103 1.540 -0.491
C4 0.103 -1.540 -0.491
H5 0.431 1.162 1.498
H6 -0.431 -1.162 1.498
H7 0.089 2.609 -0.418
H8 -0.485 1.167 -1.441
H9 -0.089 -2.609 -0.418
H10 0.485 -1.167 -1.441

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10
C11.46621.33882.49431.09332.17892.11822.12403.47842.7748
C21.46622.49431.33882.17891.09333.47842.77482.11822.1240
C31.33882.49433.08722.09443.37201.08871.09004.15022.9287
C42.49431.33883.08723.37202.09444.15022.92871.08871.0900
H51.09332.17892.09443.37202.47942.42543.07934.26243.7512
H62.17891.09333.37202.09442.47944.26243.75122.42543.0793
H72.11823.47841.08874.15022.42544.26241.85955.22173.9326
H82.12402.77481.09002.92873.07933.75121.85953.93262.5277
H93.47842.11824.15021.08874.26242.42545.22173.93261.8595
H102.77482.12402.92871.09003.75123.07933.93262.52771.8595

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 125.493 C1 C2 H6 115.945
C1 C3 H7 121.179 C1 C3 H8 121.631
C2 C1 C3 125.493 C2 C1 H5 115.945
C2 C4 H9 121.179 C2 C4 H10 121.631
C3 C1 H5 118.547 C4 C2 H6 118.547
H7 C3 H8 117.181 H9 C4 H10 117.181
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.925      
2 C 0.925      
3 C 0.396      
4 C 0.396      
5 H -0.501      
6 H -0.501      
7 H -0.385      
8 H -0.434      
9 H -0.385      
10 H -0.434      


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 0.100 0.100
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -28.322 0.731 0.000
y 0.731 -23.455 0.000
z 0.000 0.000 -23.215
Traceless
 xyz
x -4.987 0.731 0.000
y 0.731 2.314 0.000
z 0.000 0.000 2.673
Polar
3z2-r25.346
x2-y2-4.867
xy0.731
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.594 -0.145 0.000
y -0.145 10.321 0.000
z 0.000 0.000 7.796


<r2> (average value of r2) Å2
<r2> 86.093
(<r2>)1/2 9.279