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All results from a given calculation for C7H7 (cycloheptatrienyl radical)

using model chemistry: PBEPBE/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 no C2V 2A2
Energy calculated at PBEPBE/3-21G
 hartrees
Energy at 0K-269.036009
Energy at 298.15K 
HF Energy-269.036009
Nuclear repulsion energy256.283880
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 PBEPBE/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 3126 3098 3.70      
2 A1 3111 3083 33.58      
3 A1 3076 3048 2.66      
4 A1 3069 3041 7.49      
5 A1 1578 1564 1.38      
6 A1 1507 1493 13.06      
7 A1 1464 1450 6.81      
8 A1 1300 1288 0.83      
9 A1 1182 1171 2.27      
10 A1 937 929 2.74      
11 A1 904 896 0.42      
12 A1 829 821 0.14      
13 A1 441 437 0.17      
14 A2 959 950 0.00      
15 A2 813 806 0.00      
16 A2 734 727 0.00      
17 A2 546 541 0.00      
18 A2 145 143 0.00      
19 B1 972 963 0.00      
20 B1 952 944 0.43      
21 B1 742 735 0.78      
22 B1 634 628 83.50      
23 B1 499 495 60.14      
24 B1 272 270 0.00      
25 B2 3117 3089 24.75      
26 B2 3096 3067 16.73      
27 B2 3071 3043 6.22      
28 B2 1599 1584 8.67      
29 B2 1478 1464 4.63      
30 B2 1421 1409 0.00      
31 B2 1308 1296 0.00      
32 B2 1250 1238 1.02      
33 B2 957 948 6.55      
34 B2 897 889 0.78      
35 B2 414 410 0.24      
36 B2 98i 97i 33.93      

Unscaled Zero Point Vibrational Energy (zpe) 24149.9 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 23930.2 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 PBEPBE/3-21G
ABC
0.12251 0.12251 0.06126

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.620
C2 0.000 1.271 1.028
C3 0.000 -1.271 1.028
C4 0.000 1.579 -0.379
C5 0.000 -1.579 -0.379
C6 0.000 0.730 -1.459
C7 0.000 -0.730 -1.459
H8 0.000 0.000 2.719
H9 0.000 2.130 1.706
H10 0.000 -2.130 1.706
H11 0.000 2.652 -0.613
H12 0.000 -2.652 -0.613
H13 0.000 1.193 -2.452
H14 0.000 -1.193 -2.452

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.40211.40212.54812.54813.16463.16461.09862.13182.13183.46693.46694.24354.2435
C21.40212.54181.44073.17872.54513.19192.11531.09423.46782.14464.25223.48094.2640
C31.40212.54183.17871.44073.19192.54512.11533.46781.09424.25222.14464.26403.4809
C42.54811.44073.17873.15871.37382.54923.47752.15644.25511.09784.23782.10843.4616
C52.54813.17871.44073.15872.54921.37383.47754.25512.15644.23781.09783.46162.1084
C63.16462.54513.19191.37382.54921.45974.24123.46054.26542.10023.48621.09582.1643
C73.16463.19192.54512.54921.37381.45974.24124.26543.46053.48622.10022.16431.0958
H81.09862.11532.11533.47753.47754.24124.24122.35882.35884.25834.25835.30685.3068
H92.13181.09423.46782.15644.25513.46054.26542.35884.26012.37635.31444.26185.3225
H102.13183.46781.09424.25512.15644.26543.46052.35884.26015.31442.37635.32254.2618
H113.46692.14464.25221.09784.23782.10023.48624.25832.37635.31445.30402.34764.2624
H123.46694.25222.14464.23781.09783.48622.10024.25835.31442.37635.30404.26242.3476
H134.24353.48094.26402.10843.46161.09582.16435.30684.26185.32252.34764.26242.3863
H144.24354.26403.48093.46162.10842.16431.09585.30685.32254.26184.26242.34762.3863

picture of cycloheptatrienyl radical state 1 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.176      
2 C -0.224      
3 C -0.224      
4 C -0.184      
5 C -0.184      
6 C -0.206      
7 C -0.206      
8 H 0.206      
9 H 0.195      
10 H 0.195      
11 H 0.204      
12 H 0.204      
13 H 0.200      
14 H 0.200      


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 -0.076 0.076
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.819 0.000 0.000
y 0.000 -35.970 0.000
z 0.000 0.000 -35.984
Traceless
 xyz
x -10.842 0.000 0.000
y 0.000 5.432 0.000
z 0.000 0.000 5.410
Polar
3z2-r210.820
x2-y2-10.849
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.742 0.000 0.000
y 0.000 13.054 0.000
z 0.000 0.000 13.050


<r2> (average value of r2) Å2
<r2> 188.112
(<r2>)1/2 13.715