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 C6H6 (2,4-Hexadiyne)

using model chemistry: B97D3/cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D3H 1A1'
1 2 no D3D 1A1G

Conformer 1 (D3H)

Jump to S1C2
Energy calculated at B97D3/cc-pVTZ
 hartrees
Energy at 0K-232.062748
Energy at 298.15K 
HF Energy-232.062748
Nuclear repulsion energy170.057911
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 B97D3/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' 2963 2922 0.00      
2 A1' 2295 2263 0.00      
3 A1' 1386 1367 0.00      
4 A1' 1280 1262 0.00      
5 A1' 553 545 0.00      
6 A1" 36i 35i 0.00      
7 A2" 2962 2921 93.42      
8 A2" 2203 2173 4.83      
9 A2" 1379 1360 20.76      
10 A2" 940 927 4.90      
11 E' 3020 2978 21.17      
11 E' 3020 2978 21.18      
12 E' 1443 1422 13.39      
12 E' 1443 1422 13.39      
13 E' 1025 1011 2.36      
13 E' 1025 1011 2.37      
14 E' 351 346 4.62      
14 E' 351 346 4.62      
15 E' 94 93 7.31      
15 E' 94 93 7.31      
16 E" 3021 2978 0.00      
16 E" 3021 2978 0.00      
17 E" 1443 1422 0.00      
17 E" 1443 1422 0.00      
18 E" 1019 1005 0.00      
18 E" 1019 1005 0.00      
19 E" 491 484 0.00      
19 E" 491 484 0.00      
20 E" 232 228 0.00      
20 E" 232 228 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 20100.5 cm-1
Scaled (by 0.986) Zero Point Vibrational Energy (zpe) 19819.0 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 B97D3/cc-pVTZ
ABC
2.66322 0.03707 0.03707

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/cc-pVTZ

Point Group is D3h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.680
C2 0.000 0.000 -0.680
C3 0.000 0.000 1.898
C4 0.000 0.000 -1.898
C5 0.000 0.000 3.349
C6 0.000 0.000 -3.349
H7 0.000 1.023 3.745
H8 -0.886 -0.512 3.745
H9 0.886 -0.512 3.745
H10 0.000 1.023 -3.745
H11 0.886 -0.512 -3.745
H12 -0.886 -0.512 -3.745

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.35931.21812.57742.66954.02883.23133.23133.23134.54114.54114.5411
C21.35932.57741.21814.02882.66954.54114.54114.54113.23133.23133.2313
C31.21812.57743.79561.45145.24692.11142.11142.11145.73455.73455.7345
C42.57741.21813.79565.24691.45145.73455.73455.73452.11142.11142.1114
C52.66954.02881.45145.24696.69831.09691.09691.09697.16737.16737.1673
C64.02882.66955.24691.45146.69837.16737.16737.16731.09691.09691.0969
H73.23134.54112.11145.73451.09697.16731.77211.77217.48947.69627.6962
H83.23134.54112.11145.73451.09697.16731.77211.77217.69627.69627.4894
H93.23134.54112.11145.73451.09697.16731.77211.77217.69627.48947.6962
H104.54113.23135.73452.11147.16731.09697.48947.69627.69621.77211.7721
H114.54113.23135.73452.11147.16731.09697.69627.69627.48941.77211.7721
H124.54113.23135.73452.11147.16731.09697.69627.48947.69621.77211.7721

picture of 2,4-Hexadiyne state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 180.000 C1 C3 C5 180.000
C2 C1 C3 180.000 C2 C4 C6 180.000
C3 C5 H7 110.762 C3 C5 H8 110.762
C3 C5 H9 110.762 C4 C6 H10 110.762
C4 C6 H11 110.762 C4 C6 H12 110.762
H7 C5 H8 108.150 H7 C5 H9 108.150
H8 C5 H9 108.150 H10 C6 H11 108.150
H10 C6 H12 108.150 H11 C6 H12 108.150
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.443      
2 C 0.443      
3 C -0.474      
4 C -0.474      
5 C -0.288      
6 C -0.288      
7 H 0.106      
8 H 0.106      
9 H 0.106      
10 H 0.106      
11 H 0.106      
12 H 0.106      


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 -36.491 0.000 0.000
y 0.000 -36.491 0.000
z 0.000 0.000 -19.706
Traceless
 xyz
x -8.392 0.000 0.000
y 0.000 -8.392 0.000
z 0.000 0.000 16.784
Polar
3z2-r233.568
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 6.599 0.000 0.000
y 0.000 6.599 0.000
z 0.000 0.000 23.248


<r2> (average value of r2) Å2
<r2> 293.079
(<r2>)1/2 17.120

Conformer 2 (D3D)

Jump to S1C1
Energy calculated at B97D3/cc-pVTZ
 hartrees
Energy at 0K-232.062749
Energy at 298.15K 
HF Energy-232.062749
Nuclear repulsion energy170.068336
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 B97D3/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 A 3020 2978 0.00      
2 A 3020 2978 21.24      
3 A 2963 2922 0.00      
4 A 2296 2264 0.00      
5 A 1443 1422 13.41      
6 A 1442 1422 0.00      
7 A 1386 1367 0.00      
8 A 1280 1262 0.00      
9 A 1025 1010 2.37      
10 A 1019 1005 0.00      
11 A 553 545 0.00      
12 A 491 484 0.00      
13 A 350 345 4.61      
14 A 232 228 0.00      
15 A 93 92 7.29      
16 A 39i 38i 0.00      
17 B 3020 2978 0.00      
18 B 3020 2978 21.25      
19 B 2962 2921 93.65      
20 B 2204 2174 4.85      
21 B 1443 1422 0.00      
22 B 1442 1422 13.39      
23 B 1379 1360 20.72      
24 B 1025 1011 2.38      
25 B 1019 1004 0.00      
26 B 941 927 4.93      
27 B 491 484 0.00      
28 B 350 346 4.63      
29 B 231 228 0.00      
30 B 93 92 7.30      

Unscaled Zero Point Vibrational Energy (zpe) 20098.2 cm-1
Scaled (by 0.986) Zero Point Vibrational Energy (zpe) 19816.9 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 B97D3/cc-pVTZ
ABC
2.66395 0.03708 0.03708

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/cc-pVTZ

Point Group is C2

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.680 -0.001
C2 0.000 -0.680 -0.001
C3 0.000 1.898 -0.001
C4 0.000 -1.898 -0.001
C5 0.000 3.349 0.001
C6 0.000 -3.349 0.001
H7 0.000 3.743 1.024
H8 0.886 3.745 -0.510
H9 -0.886 3.745 -0.510
H10 0.000 -3.743 1.024
H11 -0.886 -3.745 -0.510
H12 0.886 -3.745 -0.510

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12
C11.35941.21802.57742.66914.02863.23093.23153.23154.54064.54164.5416
C21.35942.57741.21804.02862.66914.54064.54164.54163.23093.23153.2315
C31.21802.57743.79541.45125.24652.11142.11152.11155.73365.73495.7349
C42.57741.21803.79545.24651.45125.73365.73495.73492.11142.11152.1115
C52.66914.02861.45125.24656.69771.09691.09691.09697.16587.16767.1676
C64.02862.66915.24651.45126.69777.16587.16767.16761.09691.09691.0969
H73.23094.54062.11145.73361.09697.16581.77181.77187.48707.69577.6957
H83.23154.54162.11155.73491.09697.16761.77181.77187.69577.69767.4909
H93.23154.54162.11155.73491.09697.16761.77181.77187.69577.49097.6976
H104.54063.23095.73362.11147.16581.09697.48707.69577.69571.77181.7718
H114.54163.23155.73492.11157.16761.09697.69577.69767.49091.77181.7718
H124.54163.23155.73492.11157.16761.09697.69577.49097.69761.77181.7718

picture of 2,4-Hexadiyne state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 179.952 C1 C3 C5 179.842
C2 C1 C3 179.952 C2 C4 C6 179.842
C3 C5 H7 111.113 C3 C5 H8 111.117
C3 C5 H9 111.117 C4 C6 H10 111.113
C4 C6 H11 111.117 C4 C6 H12 111.117
H7 C5 H8 107.780 H7 C5 H9 107.780
H8 C5 H9 107.775 H10 C6 H11 107.780
H10 C6 H12 107.780 H11 C6 H12 107.775
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.443      
2 C 0.443      
3 C -0.474      
4 C -0.474      
5 C -0.288      
6 C -0.288      
7 H 0.106      
8 H 0.106      
9 H 0.106      
10 H 0.106      
11 H 0.106      
12 H 0.106      


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 0.004 0.004
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.491 0.000 0.000
y 0.000 -19.705 0.000
z 0.000 0.000 -36.491
Traceless
 xyz
x -8.393 0.000 0.000
y 0.000 16.786 0.000
z 0.000 0.000 -8.393
Polar
3z2-r2-16.785
x2-y2-16.786
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.598 0.000 0.000
y 0.000 23.246 0.000
z 0.000 0.000 6.599


<r2> (average value of r2) Å2
<r2> 293.052
(<r2>)1/2 17.119