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All results from a given calculation for C9H8 (spiro[4.4]nona-1,3,6,8-tetraene)

using model chemistry: B3PW91/TZVP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2D 1A1
Energy calculated at B3PW91/TZVP
 hartrees
Energy at 0K-347.662860
Energy at 298.15K-347.670825
HF Energy-347.662860
Nuclear repulsion energy397.237885
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 B3PW91/TZVP
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 3245 3129 0.00      
2 A1 3216 3102 0.00      
3 A1 1584 1527 0.00      
4 A1 1391 1342 0.00      
5 A1 1108 1069 0.00      
6 A1 1010 974 0.00      
7 A1 872 841 0.00      
8 A1 442 426 0.00      
9 A2 953 919 0.00      
10 A2 726 700 0.00      
11 A2 529 510 0.00      
12 B1 956 922 0.00      
13 B1 775 748 0.00      
14 B1 622 599 0.00      
15 B1 220 212 0.00      
16 B2 3243 3127 10.11      
17 B2 3216 3101 12.01      
18 B2 1562 1506 12.29      
19 B2 1392 1342 0.21      
20 B2 1205 1162 6.73      
21 B2 1059 1021 11.04      
22 B2 990 955 23.55      
23 B2 830 801 10.38      
24 E 3239 3123 6.30      
24 E 3239 3123 6.30      
25 E 3205 3090 5.10      
25 E 3205 3090 5.10      
26 E 1644 1585 0.01      
26 E 1644 1585 0.01      
27 E 1300 1253 0.90      
27 E 1300 1253 0.90      
28 E 1148 1107 0.00      
28 E 1148 1107 0.00      
29 E 1086 1048 14.16      
29 E 1086 1048 14.16      
30 E 958 924 0.00      
30 E 958 924 0.00      
31 E 819 790 1.27      
31 E 819 790 1.27      
32 E 756 729 85.88      
32 E 756 729 85.88      
33 E 517 498 2.28      
33 E 517 498 2.28      
34 E 114 110 0.93      
34 E 114 110 0.93      

Unscaled Zero Point Vibrational Energy (zpe) 30356.5 cm-1
Scaled (by 0.9643) Zero Point Vibrational Energy (zpe) 29272.8 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 B3PW91/TZVP
ABC
0.14153 0.04438 0.04438

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/TZVP

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.000
C2 0.000 1.176 0.953
C3 0.000 -1.176 0.953
C4 1.176 0.000 -0.953
C5 -1.176 0.000 -0.953
C6 0.000 0.733 2.218
C7 0.000 -0.733 2.218
C8 0.733 0.000 -2.218
C9 -0.733 0.000 -2.218
H10 0.000 2.202 0.612
H11 0.000 -2.202 0.612
H12 2.202 0.000 -0.612
H13 -2.202 0.000 -0.612
H14 0.000 1.349 3.109
H15 0.000 -1.349 3.109
H16 1.349 0.000 -3.109
H17 -1.349 0.000 -3.109

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 C8 C9 H10 H11 H12 H13 H14 H15 H16 H17
C11.51421.51421.51421.51422.33642.33642.33642.33642.28562.28562.28562.28563.38883.38883.38883.3888
C21.51422.35282.53042.53041.34062.29053.46143.46141.08113.39582.94682.94682.16223.32044.43894.4389
C31.51422.35282.53042.53042.29051.34063.46143.46143.39581.08112.94682.94683.32042.16224.43894.4389
C41.51422.53042.53042.35283.46143.46141.34062.29052.94682.94681.08113.39584.43894.43892.16223.3204
C51.51422.53042.53042.35283.46143.46142.29051.34062.94682.94683.39581.08114.43894.43893.32042.1622
C62.33641.34062.29053.46143.46141.46614.55644.55642.17703.34613.66033.66031.08272.26475.54395.5439
C72.33642.29051.34063.46143.46141.46614.55644.55643.34612.17703.66033.66032.26471.08275.54395.5439
C82.33643.46143.46141.34062.29054.55644.55641.46613.66033.66032.17703.34615.54395.54391.08272.2647
C92.33643.46143.46142.29051.34064.55644.55641.46613.66033.66033.34612.17705.54395.54392.26471.0827
H102.28561.08113.39582.94682.94682.17703.34613.66033.66034.40433.34623.34622.63834.34134.52914.5291
H112.28563.39581.08112.94682.94683.34612.17703.66033.66034.40433.34623.34624.34132.63834.52914.5291
H122.28562.94682.94681.08113.39583.66033.66032.17703.34613.34623.34624.40434.52914.52912.63834.3413
H132.28562.94682.94683.39581.08113.66033.66033.34612.17703.34623.34624.40434.52914.52914.34132.6383
H143.38882.16223.32044.43894.43891.08272.26475.54395.54392.63834.34134.52914.52912.69896.50356.5035
H153.38883.32042.16224.43894.43892.26471.08275.54395.54394.34132.63834.52914.52912.69896.50356.5035
H163.38884.43894.43892.16223.32045.54395.54391.08272.26474.52914.52912.63834.34136.50356.50352.6989
H173.38884.43894.43893.32042.16225.54395.54392.26471.08274.52914.52914.34132.63836.50356.50352.6989

picture of spiro[4.4]nona-1,3,6,8-tetraene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C6 109.707 C1 C2 H10 122.573
C1 C3 C7 109.707 C1 C3 H11 122.573
C1 C4 C8 109.707 C1 C4 H12 122.573
C1 C5 C9 109.707 C1 C5 H13 122.573
C2 C1 C3 101.961 C2 C1 C4 113.352
C2 C1 C5 113.352 C2 C6 C7 109.312
C2 C6 H14 125.986 C3 C1 C4 113.352
C3 C1 C5 113.352 C3 C7 C6 109.312
C3 C7 H15 125.986 C4 C1 C5 101.961
C4 C8 C9 109.312 C4 C8 H16 125.986
C5 C9 C8 109.312 C5 C9 H17 125.986
C6 C2 H10 127.720 C6 C7 H15 124.701
C7 C3 H11 127.720 C7 C6 H14 124.701
C8 C4 H12 127.720 C8 C9 H17 124.701
C9 C5 H13 127.720 C9 C8 H16 124.701
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.181      
2 C -0.217      
3 C -0.217      
4 C -0.217      
5 C -0.217      
6 C -0.071      
7 C -0.071      
8 C -0.071      
9 C -0.071      
10 H 0.121      
11 H 0.121      
12 H 0.121      
13 H 0.121      
14 H 0.121      
15 H 0.121      
16 H 0.121      
17 H 0.121      


Electric dipole moments


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -52.574 0.000 0.000
y 0.000 -52.574 0.000
z 0.000 0.000 -47.366
Traceless
 xyz
x -2.604 0.000 0.000
y 0.000 -2.604 0.000
z 0.000 0.000 5.208
Polar
3z2-r210.415
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 11.415 0.000 0.000
y 0.000 11.415 0.000
z 0.000 0.000 19.355


<r2> (average value of r2) Å2
<r2> 284.620
(<r2>)1/2 16.871