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 C7H7 (cycloheptatrienyl radical)

using model chemistry: PBEPBEultrafine/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 no C2V 2A2
Energy calculated at PBEPBEultrafine/6-31G*
 hartrees
Energy at 0K-270.523670
Energy at 298.15K 
HF Energy-270.523670
Nuclear repulsion energy256.425502
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 PBEPBEultrafine/6-31G*
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 3129 3077 4.59      
2 A1 3116 3065 47.48      
3 A1 3084 3033 3.51      
4 A1 3076 3026 10.28      
5 A1 1603 1576 4.24      
6 A1 1519 1494 10.53      
7 A1 1446 1422 3.28      
8 A1 1258 1237 0.82      
9 A1 1171 1152 2.34      
10 A1 952 936 2.01      
11 A1 889 875 0.59      
12 A1 839 825 0.22      
13 A1 434 427 0.20      
14 A2 948 932 0.00      
15 A2 811 797 0.00      
16 A2 726 714 0.00      
17 A2 547 538 0.00      
18 A2 152 150 0.00      
19 B1 966 950 0.00      
20 B1 941 925 0.45      
21 B1 740 728 0.66      
22 B1 635 625 53.12      
23 B1 495 486 38.76      
24 B1 278 273 0.00      
25 B2 3121 3069 35.51      
26 B2 3102 3051 21.73      
27 B2 3078 3028 8.96      
28 B2 1614 1587 8.17      
29 B2 1457 1433 1.58      
30 B2 1378 1355 0.00      
31 B2 1272 1251 0.05      
32 B2 1223 1203 1.34      
33 B2 966 950 4.94      
34 B2 886 871 1.91      
35 B2 407 400 0.27      
36 B2 27i 26i 30.63      

Unscaled Zero Point Vibrational Energy (zpe) 24114.9 cm-1
Scaled (by 0.9835) Zero Point Vibrational Energy (zpe) 23717.0 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 PBEPBEultrafine/6-31G*
ABC
0.12267 0.12267 0.06134

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/6-31G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.619
C2 0.000 1.271 1.027
C3 0.000 -1.271 1.027
C4 0.000 1.578 -0.378
C5 0.000 -1.578 -0.378
C6 0.000 0.728 -1.459
C7 0.000 -0.728 -1.459
H8 0.000 0.000 2.718
H9 0.000 2.129 1.707
H10 0.000 -2.129 1.707
H11 0.000 2.650 -0.615
H12 0.000 -2.650 -0.615
H13 0.000 1.196 -2.450
H14 0.000 -1.196 -2.450

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.40191.40192.54482.54483.16213.16211.09892.13132.13133.46593.46594.24074.2407
C21.40192.54211.43823.17662.54443.18982.11491.09483.46782.14454.25123.47804.2633
C31.40192.54213.17661.43823.18982.54442.11493.46781.09484.25122.14454.26333.4780
C42.54481.43823.17663.15581.37492.54653.47442.15624.25321.09814.23462.10713.4621
C52.54483.17661.43823.15582.54651.37493.47444.25322.15624.23461.09813.46212.1071
C63.16212.54443.18981.37492.54651.45584.23913.46164.26422.09903.48161.09622.1640
C73.16213.18982.54442.54651.37491.45584.23914.26423.46163.48162.09902.16401.0962
H81.09892.11492.11493.47443.47444.23914.23912.35732.35734.25794.25795.30415.3041
H92.13131.09483.46782.15624.25323.46164.26422.35734.25902.37955.31364.26025.3230
H102.13133.46781.09484.25322.15624.26423.46162.35734.25905.31362.37955.32304.2602
H113.46592.14454.25121.09814.23462.09903.48164.25792.37955.31365.30012.34144.2609
H123.46594.25122.14454.23461.09813.48162.09904.25795.31362.37955.30014.26092.3414
H134.24073.47804.26332.10713.46211.09622.16405.30414.26025.32302.34144.26092.3912
H144.24074.26333.47803.46212.10712.16401.09625.30415.32304.26024.26092.34142.3912

picture of cycloheptatrienyl radical state 1 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.106      
2 C -0.169      
3 C -0.169      
4 C -0.117      
5 C -0.117      
6 C -0.145      
7 C -0.145      
8 H 0.142      
9 H 0.134      
10 H 0.134      
11 H 0.141      
12 H 0.141      
13 H 0.138      
14 H 0.138      


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 -0.069 0.069
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -45.214 0.000 0.000
y 0.000 -36.393 0.000
z 0.000 0.000 -36.404
Traceless
 xyz
x -8.816 0.000 0.000
y 0.000 4.416 0.000
z 0.000 0.000 4.399
Polar
3z2-r28.799
x2-y2-8.821
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.659 0.000 0.000
y 0.000 13.730 0.000
z 0.000 0.000 13.729


<r2> (average value of r2) Å2
<r2> 187.760
(<r2>)1/2 13.703