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 C10H8 (Azulene)

using model chemistry: M06-2X/3-21G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 no C2V 1A1
1 2 yes CS 1A'

Conformer 1 (C2V)

Jump to S1C2
Energy calculated at M06-2X/3-21G*
 hartrees
Energy at 0K-383.532595
Energy at 298.15K-383.540781
HF Energy-383.532595
Nuclear repulsion energy453.554445
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 M06-2X/3-21G*
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 3283 3110 2.99      
2 A1 3249 3078 3.92      
3 A1 3191 3023 3.21      
4 A1 3172 3004 3.74      
5 A1 3140 2974 3.34      
6 A1 1665 1577 69.27      
7 A1 1610 1525 7.62      
8 A1 1511 1432 4.82      
9 A1 1452 1375 115.49      
10 A1 1325 1255 1.94      
11 A1 1283 1215 4.49      
12 A1 1107 1048 5.24      
13 A1 979 927 1.18      
14 A1 941 892 1.77      
15 A1 857 812 9.03      
16 A1 685 649 1.87      
17 A1 417 395 1.49      
18 A2 1049 994 0.00      
19 A2 915 867 0.00      
20 A2 850 805 0.00      
21 A2 726 687 0.00      
22 A2 435 412 0.00      
23 A2 160 151 0.00      
24 B1 1072 1015 0.09      
25 B1 1025 971 10.37      
26 B1 1005 952 0.36      
27 B1 825 782 139.38      
28 B1 765 725 14.64      
29 B1 638 604 3.30      
30 B1 599 567 12.74      
31 B1 321 304 14.54      
32 B1 169 160 2.16      
33 B2 3275 3102 2.95      
34 B2 3187 3019 15.78      
35 B2 3170 3003 0.30      
36 B2 1671 1583 1.96      
37 B2 1538 1456 13.73      
38 B2 1529 1449 12.28      
39 B2 1456 1380 0.07      
40 B2 1377 1304 2.72      
41 B2 1358 1286 2.03      
42 B2 1262 1196 3.27      
43 B2 1197 1133 0.06      
44 B2 1095 1037 0.78      
45 B2 954 903 17.40      
46 B2 691 654 5.25      
47 B2 497 471 4.86      
48 B2 338 320 0.80      

Unscaled Zero Point Vibrational Energy (zpe) 32506.3 cm-1
Scaled (by 0.9472) Zero Point Vibrational Energy (zpe) 30790.0 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 M06-2X/3-21G*
ABC
0.09476 0.04186 0.02903

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/3-21G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -2.496
C2 0.000 0.000 2.708
C3 0.000 1.265 -1.907
C4 0.000 -1.265 -1.907
C5 0.000 1.597 -0.553
C6 0.000 -1.597 -0.553
C7 0.000 0.754 0.550
C8 0.000 -0.754 0.550
C9 0.000 1.153 1.900
C10 0.000 -1.153 1.900
H11 0.000 0.000 -3.583
H12 0.000 0.000 3.788
H13 0.000 2.103 -2.597
H14 0.000 -2.103 -2.597
H15 0.000 2.662 -0.324
H16 0.000 -2.662 -0.324
H17 0.000 2.176 2.245
H18 0.000 -2.176 2.245

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 C8 C9 C10 H11 H12 H13 H14 H15 H16 H17 H18
C15.20431.39521.39522.51552.51553.13753.13754.54494.54491.08716.28392.10582.10583.43533.43535.21675.2167
C25.20434.78604.78603.63123.63122.28662.28661.40791.40796.29141.07955.70695.70694.03504.03502.22432.2243
C31.39524.78602.52991.39493.16662.50963.18003.80934.51052.09955.83411.08553.43822.11124.23384.25145.3929
C41.39524.78602.52993.16661.39493.18002.50964.51053.80932.09955.83413.43821.08554.23382.11125.39294.2514
C52.51553.63121.39493.16663.19441.38802.59662.49293.68513.42564.62512.10584.22761.08874.26512.85724.6972
C62.51553.63123.16661.39493.19442.59661.38803.68512.49293.42564.62514.22762.10584.26511.08874.69722.8572
C73.13752.28662.50963.18001.38802.59661.50761.40842.33664.20093.32493.42364.25012.09853.52562.21293.3848
C83.13752.28663.18002.50962.59661.38801.50762.33661.40844.20093.32494.25013.42363.52562.09853.38482.2129
C94.54491.40793.80934.51052.49293.68511.40842.33662.30585.60322.21194.59645.55222.68794.41591.07943.3464
C104.54491.40794.51053.80933.68512.49292.33661.40842.30585.60322.21195.55224.59644.41592.68793.34641.0794
H111.08716.29142.09952.09953.42563.42564.20094.20095.60325.60327.37102.32322.32324.20774.20776.22136.2213
H126.28391.07955.83415.83414.62514.62513.32493.32492.21192.21197.37106.72226.72224.89844.89842.66702.6670
H132.10585.70691.08553.43822.10584.22763.42364.25014.59645.55222.32326.72224.20682.34015.27934.84276.4619
H142.10585.70693.43821.08554.22762.10584.25013.42365.55224.59642.32326.72224.20685.27932.34016.46194.8427
H153.43534.03502.11124.23381.08874.26512.09853.52562.68794.41594.20774.89842.34015.27935.32352.61525.4775
H163.43534.03504.23382.11124.26511.08873.52562.09854.41592.68794.20774.89845.27932.34015.32355.47752.6152
H175.21672.22434.25145.39292.85724.69722.21293.38481.07943.34646.22132.66704.84276.46192.61525.47754.3512
H185.21672.22435.39294.25144.69722.85723.38482.21293.34641.07946.22132.66706.46194.84275.47752.61524.3512

picture of Azulene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 C5 128.733 C1 C3 H13 115.620
C1 C4 C6 128.733 C1 C4 H14 115.620
C2 C9 C7 108.565 C2 C9 H17 126.327
C2 C10 C8 108.565 C2 C10 H18 126.327
C3 C1 C4 130.095 C3 C1 H11 114.952
C3 C5 C7 128.799 C3 C5 H15 115.892
C4 C1 H11 114.952 C4 C6 C8 128.799
C4 C6 H16 115.892 C5 C3 H13 115.647
C5 C7 C8 127.421 C5 C7 C9 126.117
C6 C4 H14 115.647 C6 C8 C7 127.421
C6 C8 C10 126.117 C7 C5 H15 115.309
C7 C8 C10 106.462 C7 C9 H17 125.108
C8 C6 H16 115.309 C8 C7 C9 106.462
C8 C10 H18 125.108 C9 C2 C10 109.946
C9 C2 H12 125.027 C10 C2 H12 125.027
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.189      
2 C -0.217      
3 C -0.215      
4 C -0.215      
5 C -0.195      
6 C -0.195      
7 C -0.027      
8 C -0.027      
9 C -0.202      
10 C -0.202      
11 H 0.219      
12 H 0.204      
13 H 0.214      
14 H 0.214      
15 H 0.218      
16 H 0.218      
17 H 0.197      
18 H 0.197      


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 -1.316 1.316
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -65.482 0.000 0.000
y 0.000 -49.566 0.000
z 0.000 0.000 -50.558
Traceless
 xyz
x -15.421 0.000 0.000
y 0.000 8.454 0.000
z 0.000 0.000 6.967
Polar
3z2-r213.933
x2-y2-15.916
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.556 0.000 0.000
y 0.000 16.233 0.000
z 0.000 0.000 24.615


<r2> (average value of r2) Å2
<r2> 366.185
(<r2>)1/2 19.136

Conformer 2 (CS)

Jump to S1C1
Energy calculated at M06-2X/3-21G*
 hartrees
Energy at 0K-383.532739
Energy at 298.15K-383.540948
HF Energy-383.532739
Nuclear repulsion energy453.547623
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 M06-2X/3-21G*
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' 3304 3129 6.56      
2 A' 3285 3112 2.77      
3 A' 3258 3086 1.18      
4 A' 3233 3063 11.92      
5 A' 3206 3036 4.15      
6 A' 3181 3013 4.03      
7 A' 3119 2954 3.46      
8 A' 3102 2938 3.88      
9 A' 1677 1589 23.10      
10 A' 1670 1582 47.32      
11 A' 1616 1531 6.02      
12 A' 1542 1461 21.79      
13 A' 1537 1456 4.71      
14 A' 1513 1433 7.48      
15 A' 1459 1382 0.26      
16 A' 1445 1369 114.06      
17 A' 1375 1302 2.08      
18 A' 1362 1290 2.87      
19 A' 1325 1255 0.92      
20 A' 1284 1216 5.32      
21 A' 1257 1190 3.32      
22 A' 1202 1138 0.14      
23 A' 1106 1048 5.59      
24 A' 1095 1037 0.81      
25 A' 983 931 1.09      
26 A' 963 912 17.80      
27 A' 944 894 1.76      
28 A' 857 812 9.34      
29 A' 700 663 4.77      
30 A' 686 649 2.15      
31 A' 500 473 4.91      
32 A' 419 397 1.54      
33 A' 346 328 0.80      
34 A" 1080 1023 0.23      
35 A" 1035 981 0.02      
36 A" 1017 963 1.35      
37 A" 1002 949 5.36      
38 A" 917 868 0.47      
39 A" 852 807 28.19      
40 A" 831 787 117.31      
41 A" 773 732 11.33      
42 A" 723 684 0.06      
43 A" 640 606 2.92      
44 A" 597 565 12.62      
45 A" 436 413 0.00      
46 A" 309 293 16.10      
47 A" 177 167 1.58      
48 A" 161 153 0.05      

Unscaled Zero Point Vibrational Energy (zpe) 32548.3 cm-1
Scaled (by 0.9472) Zero Point Vibrational Energy (zpe) 30829.7 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 M06-2X/3-21G*
ABC
0.09473 0.04187 0.02904

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/3-21G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 2.017 -1.469 0.000
C2 -2.189 1.595 0.000
C3 2.286 -0.100 0.000
C4 0.797 -2.146 0.000
C5 1.387 0.966 0.000
C6 -0.494 -1.617 0.000
C7 0.000 0.933 0.000
C8 -0.889 -0.286 0.000
C9 -0.857 2.051 0.000
C10 -2.214 0.187 0.000
H11 2.897 -2.109 0.000
H12 -3.062 2.231 0.000
H13 3.338 0.171 0.000
H14 0.861 -3.229 0.000
H15 1.829 1.961 0.000
H16 -1.305 -2.343 0.000
H17 -0.533 3.080 0.000
H18 -3.096 -0.436 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 C8 C9 C10 H11 H12 H13 H14 H15 H16 H17 H18
C15.20371.39511.39562.51512.51563.13703.13764.54444.54451.08756.28402.10562.10603.43513.43575.21565.2169
C25.20374.78514.78553.63093.63162.28652.28641.40761.40736.29121.08045.70725.70714.03484.03582.22492.2238
C31.39514.78512.53021.39443.16702.50893.18043.80884.50982.09975.83411.08623.43832.11104.23434.25015.3927
C41.39564.78552.53023.16691.39443.18012.50944.51033.80912.10025.83443.43861.08564.23422.11115.39244.2517
C52.51513.63091.39443.16693.19541.38772.59772.49283.68473.42554.62552.10654.22791.08884.26602.85634.6972
C62.51563.63163.16701.39443.19542.59781.38833.68592.49353.42594.62634.22852.10574.26611.08874.69792.8579
C73.13702.28652.50893.18011.38772.59781.50901.40832.33654.20083.32553.42404.25052.09833.52682.21243.3851
C83.13762.28643.18042.50942.59771.38831.50902.33721.40784.20143.32544.25143.42383.52682.09873.38562.2124
C94.54441.40763.80884.51032.49283.68591.40832.33722.30515.60322.21224.59705.55242.68804.41671.07963.3459
C104.54451.40734.50983.80913.68472.49352.33651.40782.30515.60332.21205.55244.59704.41552.68923.34621.0797
H111.08756.29122.09972.10023.42553.42594.20084.20145.60325.60337.37162.32252.32334.20764.20836.22046.2219
H126.28401.08045.83415.83444.62554.62633.32553.32542.21222.21207.37166.72336.72324.89894.89972.66822.6666
H132.10565.70721.08623.43862.10654.22853.42404.25144.59705.55242.32256.72334.20672.34085.28024.84236.4626
H142.10605.70713.43831.08564.22792.10574.25053.42385.55244.59702.32336.72324.20675.27962.34046.46184.8438
H153.43514.03482.11104.23421.08884.26612.09833.52682.68804.41554.20764.89892.34085.27965.32452.61415.4776
H163.43574.03584.23432.11114.26601.08873.52682.09874.41672.68924.20834.89975.28022.34045.32455.47852.6165
H175.21562.22494.25015.39242.85634.69792.21243.38561.07963.34626.22042.66824.84236.46182.61415.47854.3513
H185.21692.22385.39274.25174.69722.85793.38512.21243.34591.07976.22192.66666.46264.84385.47762.61654.3513

picture of Azulene state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 C5 128.749 C1 C3 H13 115.563
C1 C4 C6 128.749 C1 C4 H14 115.588
C2 C9 C7 108.578 C2 C9 H17 126.389
C2 C10 C8 108.627 C2 C10 H18 126.299
C3 C1 C4 130.098 C3 C1 H11 114.951
C3 C5 C7 128.794 C3 C5 H15 115.897
C4 C1 H11 114.950 C4 C6 C8 128.789
C4 C6 H16 115.916 C5 C3 H13 115.687
C5 C7 C8 127.430 C5 C7 C9 126.138
C6 C4 H14 115.663 C6 C8 C7 127.390
C6 C8 C10 126.198 C7 C5 H15 115.308
C7 C8 C10 106.413 C7 C9 H17 125.033
C8 C6 H16 115.295 C8 C7 C9 106.432
C8 C10 H18 125.074 C9 C2 C10 109.950
C9 C2 H12 125.023 C10 C2 H12 125.027
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.189      
2 C -0.217      
3 C -0.215      
4 C -0.215      
5 C -0.196      
6 C -0.196      
7 C -0.026      
8 C -0.026      
9 C -0.202      
10 C -0.202      
11 H 0.219      
12 H 0.204      
13 H 0.214      
14 H 0.214      
15 H 0.218      
16 H 0.218      
17 H 0.197      
18 H 0.197      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.063 -0.774 0.000 1.314
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -50.203 0.467 0.000
y 0.467 -49.911 0.000
z 0.000 0.000 -65.483
Traceless
 xyz
x 7.494 0.467 0.000
y 0.467 7.933 0.000
z 0.000 0.000 -15.426
Polar
3z2-r2-30.853
x2-y2-0.293
xy0.467
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 21.710 -3.984 0.000
y -3.984 19.136 0.000
z 0.000 0.000 3.557


<r2> (average value of r2) Å2
<r2> 366.187
(<r2>)1/2 19.136