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: mPW1PW91/3-21G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 no C2V 2A2
Energy calculated at mPW1PW91/3-21G*
 hartrees
Energy at 0K-269.329535
Energy at 298.15K 
HF Energy-269.329535
Nuclear repulsion energy258.301464
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 mPW1PW91/3-21G*
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 3223 3060 2.69      
2 A1 3210 3048 32.33      
3 A1 3175 3015 2.96      
4 A1 3168 3009 5.78      
5 A1 1645 1562 0.65      
6 A1 1563 1484 12.83      
7 A1 1517 1441 8.33      
8 A1 1346 1278 1.01      
9 A1 1220 1158 1.94      
10 A1 966 917 2.78      
11 A1 938 891 0.56      
12 A1 853 810 0.12      
13 A1 456 433 0.22      
14 A2 1021 970 0.00      
15 A2 861 818 0.00      
16 A2 776 737 0.00      
17 A2 571 542 0.00      
18 A2 150 143 0.00      
19 B1 1030 978 0.02      
20 B1 1010 959 0.47      
21 B1 783 744 1.15      
22 B1 660 626 101.76      
23 B1 525 498 58.26      
24 B1 285 271 0.00      
25 B2 3213 3052 24.76      
26 B2 3194 3033 15.35      
27 B2 3170 3011 4.33      
28 B2 1663 1579 10.08      
29 B2 1530 1453 6.71      
30 B2 1473 1398 0.01      
31 B2 1357 1289 0.05      
32 B2 1292 1227 1.00      
33 B2 982 933 4.35      
34 B2 929 882 0.73      
35 B2 428 407 0.25      
36 B2 73i 69i 8.60      

Unscaled Zero Point Vibrational Energy (zpe) 25055.1 cm-1
Scaled (by 0.9496) Zero Point Vibrational Energy (zpe) 23792.3 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 mPW1PW91/3-21G*
ABC
0.12443 0.12440 0.06221

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/3-21G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.609
C2 0.000 1.260 1.021
C3 0.000 -1.260 1.021
C4 0.000 1.567 -0.379
C5 0.000 -1.567 -0.379
C6 0.000 0.726 -1.447
C7 0.000 -0.726 -1.447
H8 0.000 0.000 2.697
H9 0.000 2.112 1.692
H10 0.000 -2.112 1.692
H11 0.000 2.631 -0.609
H12 0.000 -2.631 -0.609
H13 0.000 1.184 -2.431
H14 0.000 -1.184 -2.431

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.39081.39082.53102.53103.14053.14051.08862.11392.11393.44053.44054.21014.2101
C21.39082.52061.43243.15482.52423.16762.09761.08463.43872.12894.21823.45274.2299
C31.39082.52063.15481.43243.16762.52422.09763.43871.08464.21822.12894.22993.4527
C42.53101.43243.15483.13471.35932.53033.45222.14084.22211.08784.20422.08823.4330
C52.53103.15481.43243.13472.53031.35933.45224.22212.14084.20421.08783.43302.0882
C63.14052.52423.16761.35932.53031.45294.20713.43074.23172.08033.46001.08602.1496
C73.14053.16762.52422.53031.35931.45294.20714.23173.43073.46002.08032.14961.0860
H81.08862.09762.09763.45223.45224.20714.20712.33942.33944.22494.22495.26375.2637
H92.11391.08463.43872.14084.22213.43074.23172.33944.22452.35825.27134.22625.2790
H102.11393.43871.08464.22212.14084.23173.43072.33944.22455.27132.35825.27904.2262
H113.44052.12894.21821.08784.20422.08033.46004.22492.35825.27135.26112.32674.2279
H123.44054.21822.12894.20421.08783.46002.08034.22495.27132.35825.26114.22792.3267
H134.21013.45274.22992.08823.43301.08602.14965.26374.22625.27902.32674.22792.3687
H144.21014.22993.45273.43302.08822.14961.08605.26375.27904.22624.22792.32672.3687

picture of cycloheptatrienyl radical state 1 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.193      
2 C -0.248      
3 C -0.248      
4 C -0.204      
5 C -0.204      
6 C -0.228      
7 C -0.228      
8 H 0.227      
9 H 0.217      
10 H 0.217      
11 H 0.225      
12 H 0.225      
13 H 0.221      
14 H 0.221      


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 -0.041 0.041
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.926 0.000 0.000
y 0.000 -35.703 0.000
z 0.000 0.000 -35.709
Traceless
 xyz
x -11.220 0.000 0.000
y 0.000 5.615 0.000
z 0.000 0.000 5.605
Polar
3z2-r211.210
x2-y2-11.223
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.666 0.000 0.000
y 0.000 12.539 0.000
z 0.000 0.000 12.550


<r2> (average value of r2) Å2
<r2> 185.500
(<r2>)1/2 13.620