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 C9H8 (spiro[4.4]nona-1,3,6,8-tetraene)

using model chemistry: B3LYP/6-311G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2D 1A1
Energy calculated at B3LYP/6-311G**
 hartrees
Energy at 0K-347.772872
Energy at 298.15K-347.780830
HF Energy-347.772872
Nuclear repulsion energy395.924409
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 B3LYP/6-311G**
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 3229 3121 0.00      
2 A1 3200 3093 0.00      
3 A1 1573 1521 0.00      
4 A1 1386 1340 0.00      
5 A1 1107 1070 0.00      
6 A1 999 966 0.00      
7 A1 864 836 0.00      
8 A1 440 425 0.00      
9 A2 951 919 0.00      
10 A2 722 698 0.00      
11 A2 526 509 0.00      
12 B1 956 924 0.00      
13 B1 772 747 0.00      
14 B1 622 601 0.00      
15 B1 222 214 0.00      
16 B2 3226 3119 13.26      
17 B2 3199 3093 20.58      
18 B2 1552 1500 8.55      
19 B2 1386 1340 0.12      
20 B2 1197 1157 5.25      
21 B2 1052 1017 10.40      
22 B2 980 948 20.49      
23 B2 828 800 10.50      
24 E 3223 3116 11.93      
24 E 3223 3116 11.93      
25 E 3188 3082 6.24      
25 E 3188 3082 6.24      
26 E 1636 1582 0.05      
26 E 1636 1582 0.05      
27 E 1297 1254 0.77      
27 E 1297 1254 0.77      
28 E 1141 1103 0.00      
28 E 1141 1103 0.00      
29 E 1080 1044 13.21      
29 E 1080 1044 13.21      
30 E 957 925 0.00      
30 E 957 925 0.00      
31 E 819 792 0.81      
31 E 819 792 0.81      
32 E 754 729 79.29      
32 E 754 729 79.29      
33 E 516 499 2.32      
33 E 516 499 2.32      
34 E 118 115 0.83      
34 E 118 115 0.83      

Unscaled Zero Point Vibrational Energy (zpe) 30221.7 cm-1
Scaled (by 0.9668) Zero Point Vibrational Energy (zpe) 29218.4 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 B3LYP/6-311G**
ABC
0.14058 0.04403 0.04403

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-311G**

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.000
C2 0.000 1.181 0.959
C3 0.000 -1.181 0.959
C4 1.181 0.000 -0.959
C5 -1.181 0.000 -0.959
C6 0.000 0.736 2.227
C7 0.000 -0.736 2.227
C8 0.736 0.000 -2.227
C9 -0.736 0.000 -2.227
H10 0.000 2.206 0.618
H11 0.000 -2.206 0.618
H12 2.206 0.000 -0.618
H13 -2.206 0.000 -0.618
H14 0.000 1.351 3.118
H15 0.000 -1.351 3.118
H16 1.351 0.000 -3.118
H17 -1.351 0.000 -3.118

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 C8 C9 H10 H11 H12 H13 H14 H15 H16 H17
C11.52141.52141.52141.52142.34512.34512.34512.34512.29152.29152.29152.29153.39783.39783.39783.3978
C21.52142.36132.54372.54371.34272.29783.47663.47661.08093.40422.95842.95842.16483.32684.45444.4544
C31.52142.36132.54372.54372.29781.34273.47663.47663.40421.08092.95842.95843.32682.16484.45444.4544
C41.52142.54372.54372.36133.47663.47661.34272.29782.95842.95841.08093.40424.45444.45442.16483.3268
C51.52142.54372.54372.36133.47663.47662.29781.34272.95842.95843.40421.08094.45444.45443.32682.1648
C62.34511.34272.29783.47663.47661.47244.57324.57322.17883.35333.67483.67481.08262.26965.56125.5612
C72.34512.29781.34273.47663.47661.47244.57324.57323.35332.17883.67483.67482.26961.08265.56125.5612
C82.34513.47663.47661.34272.29784.57324.57321.47243.67483.67482.17883.35335.56125.56121.08262.2696
C92.34513.47663.47662.29781.34274.57324.57321.47243.67483.67483.35332.17885.56125.56122.26961.0826
H102.29151.08093.40422.95842.95842.17883.35333.67483.67484.41283.35663.35662.64144.34764.54444.5444
H112.29153.40421.08092.95842.95843.35332.17883.67483.67484.41283.35663.35664.34762.64144.54444.5444
H122.29152.95842.95841.08093.40423.67483.67482.17883.35333.35663.35664.41284.54444.54442.64144.3476
H132.29152.95842.95843.40421.08093.67483.67483.35332.17883.35663.35664.41284.54444.54444.34762.6414
H143.39782.16483.32684.45444.45441.08262.26965.56125.56122.64144.34764.54444.54442.70246.52136.5213
H153.39783.32682.16484.45444.45442.26961.08265.56125.56124.34762.64144.54444.54442.70246.52136.5213
H163.39784.45444.45442.16483.32685.56125.56121.08262.26964.54444.54442.64144.34766.52136.52132.7024
H173.39784.45444.45443.32682.16485.56125.56122.26961.08264.54444.54444.34762.64146.52136.52132.7024

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 109.770 C1 C2 H10 122.511
C1 C3 C7 109.770 C1 C3 H11 122.511
C1 C4 C8 109.770 C1 C4 H12 122.511
C1 C5 C9 109.770 C1 C5 H13 122.511
C2 C1 C3 101.801 C2 C1 C4 113.437
C2 C1 C5 113.437 C2 C6 C7 109.330
C2 C6 H14 126.057 C3 C1 C4 113.437
C3 C1 C5 113.437 C3 C7 C6 109.330
C3 C7 H15 126.057 C4 C1 C5 101.801
C4 C8 C9 109.330 C4 C8 H16 126.057
C5 C9 C8 109.330 C5 C9 H17 126.057
C6 C2 H10 127.719 C6 C7 H15 124.613
C7 C3 H11 127.719 C7 C6 H14 124.613
C8 C4 H12 127.719 C8 C9 H17 124.613
C9 C5 H13 127.719 C9 C8 H16 124.613
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.322      
2 C -0.020      
3 C -0.020      
4 C -0.020      
5 C -0.020      
6 C -0.091      
7 C -0.091      
8 C -0.091      
9 C -0.091      
10 H 0.098      
11 H 0.098      
12 H 0.098      
13 H 0.098      
14 H 0.094      
15 H 0.094      
16 H 0.094      
17 H 0.094      


Electric dipole moments


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -52.726 0.000 0.000
y 0.000 -52.726 0.000
z 0.000 0.000 -47.843
Traceless
 xyz
x -2.441 0.000 0.000
y 0.000 -2.441 0.000
z 0.000 0.000 4.883
Polar
3z2-r29.766
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 10.442 0.000 0.000
y 0.000 10.442 0.000
z 0.000 0.000 18.953


<r2> (average value of r2) Å2
<r2> 286.635
(<r2>)1/2 16.930