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: mPW1PW91/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 no C2V 2A2
Energy calculated at mPW1PW91/6-31G*
 hartrees
Energy at 0K-270.820142
Energy at 298.15K 
HF Energy-270.820142
Nuclear repulsion energy258.256294
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 mPW1PW91/6-31G*
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 3229 3062 3.98      
2 A1 3217 3051 48.15      
3 A1 3187 3022 3.59      
4 A1 3179 3015 8.39      
5 A1 1666 1580 2.58      
6 A1 1573 1492 10.60      
7 A1 1497 1420 4.72      
8 A1 1301 1234 0.94      
9 A1 1207 1144 2.19      
10 A1 979 928 1.93      
11 A1 919 872 0.85      
12 A1 862 817 0.21      
13 A1 446 423 0.25      
14 A2 1000 948 0.00      
15 A2 849 805 0.00      
16 A2 761 722 0.00      
17 A2 568 539 0.00      
18 A2 155 147 0.00      
19 B1 1015 962 0.00      
20 B1 989 938 0.43      
21 B1 774 734 0.97      
22 B1 657 623 64.88      
23 B1 516 489 39.58      
24 B1 289 274 0.00      
25 B2 3221 3055 38.04      
26 B2 3203 3038 20.99      
27 B2 3181 3017 5.90      
28 B2 1676 1589 9.14      
29 B2 1507 1429 3.18      
30 B2 1429 1355 0.01      
31 B2 1319 1251 0.00      
32 B2 1262 1197 1.39      
33 B2 991 940 3.20      
34 B2 910 863 1.36      
35 B2 418 396 0.28      
36 B2 59i 55i 7.44      

Unscaled Zero Point Vibrational Energy (zpe) 24946.0 cm-1
Scaled (by 0.9483) Zero Point Vibrational Energy (zpe) 23656.3 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 mPW1PW91/6-31G*
ABC
0.12439 0.12437 0.06219

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.609
C2 0.000 1.261 1.021
C3 0.000 -1.261 1.021
C4 0.000 1.567 -0.378
C5 0.000 -1.567 -0.378
C6 0.000 0.725 -1.447
C7 0.000 -0.725 -1.447
H8 0.000 0.000 2.698
H9 0.000 2.113 1.694
H10 0.000 -2.113 1.694
H11 0.000 2.630 -0.612
H12 0.000 -2.630 -0.612
H13 0.000 1.188 -2.430
H14 0.000 -1.188 -2.430

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.39171.39172.53022.53023.14073.14071.08902.11432.11433.44193.44194.21014.2101
C21.39172.52281.43153.15542.52543.16832.09831.08523.44052.13034.21993.45194.2319
C31.39172.52283.15541.43153.16832.52542.09833.44051.08524.21992.13034.23193.4519
C42.53021.43153.15543.13431.36102.52973.45162.14224.22281.08824.20362.08743.4357
C52.53023.15541.43153.13432.52971.36103.45164.22282.14224.20361.08823.43572.0874
C63.14072.52543.16831.36102.52971.45084.20783.43384.23332.07963.45771.08662.1511
C73.14073.16832.52542.52971.36101.45084.20784.23333.43383.45772.07962.15111.0866
H81.08902.09832.09833.45163.45164.20784.20782.33892.33894.22714.22715.26385.2638
H92.11431.08523.44052.14224.22283.43384.23332.33894.22522.36315.27334.22675.2823
H102.11433.44051.08524.22282.14224.23333.43382.33894.22525.27332.36315.28234.2267
H113.44192.13034.21991.08824.20362.07963.45774.22712.36315.27335.25982.32094.2288
H123.44194.21992.13034.20361.08823.45772.07964.22715.27332.36315.25984.22882.3209
H134.21013.45194.23192.08743.43571.08662.15115.26384.22675.28232.32094.22882.3758
H144.21014.23193.45193.43572.08742.15111.08665.26385.28234.22674.22882.32092.3758

picture of cycloheptatrienyl radical state 1 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.127      
2 C -0.202      
3 C -0.202      
4 C -0.142      
5 C -0.142      
6 C -0.176      
7 C -0.176      
8 H 0.170      
9 H 0.163      
10 H 0.163      
11 H 0.169      
12 H 0.169      
13 H 0.166      
14 H 0.166      


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 -0.037 0.037
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -45.321 0.000 0.000
y 0.000 -35.970 0.000
z 0.000 0.000 -35.973
Traceless
 xyz
x -9.350 0.000 0.000
y 0.000 4.678 0.000
z 0.000 0.000 4.672
Polar
3z2-r29.344
x2-y2-9.352
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.619 0.000 0.000
y 0.000 13.179 0.000
z 0.000 0.000 13.192


<r2> (average value of r2) Å2
<r2> 185.325
(<r2>)1/2 13.613