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All results from a given calculation for C6H5CH2 (benzyl radical)

using model chemistry: ROHF/STO-3G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at ROHF/STO-3G
 hartrees
Energy at 0K-265.837166
Energy at 298.15K-265.843743
HF Energy-265.837166
Nuclear repulsion energy260.549650
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 ROHF/STO-3G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A' 3744 3744 3.16      
2 A' 3729 3729 3.22      
3 A' 3708 3708 0.05      
4 A' 3653 3653 0.72      
5 A' 1935 1935 0.83      
6 A' 1791 1791 12.11      
7 A' 1730 1730 14.07      
8 A' 1439 1439 0.05      
9 A' 1376 1376 0.20      
10 A' 1212 1212 0.66      
11 A' 1204 1204 0.02      
12 A' 1157 1157 0.01      
13 A' 1107 1107 0.87      
14 A' 932 932 0.04      
15 A' 896 896 15.13      
16 A' 833 833 4.98      
17 A' 598 598 0.77      
18 A' 563 563 0.46      
19 A' 313 313 13.18      
20 A' 244 244 3.63      
21 A" 3832 3832 0.00      
22 A" 3735 3735 7.59      
23 A" 3721 3721 0.04      
24 A" 1912 1912 0.24      
25 A" 1733 1733 15.52      
26 A" 1562 1562 1.11      
27 A" 1377 1377 0.04      
28 A" 1287 1287 0.54      
29 A" 1188 1188 0.04      
30 A" 1188 1188 0.45      
31 A" 1086 1086 0.00      
32 A" 1031 1031 0.00      
33 A" 715 715 0.00      
34 A" 482 482 0.00      
35 A" 382 382 0.05      
36 A" 307 307 0.12      

Unscaled Zero Point Vibrational Energy (zpe) 28849.3 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 28849.3 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 ROHF/STO-3G
ABC
0.18879 0.08933 0.06065

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.001 0.963 0.000
C2 0.003 0.247 1.200
C3 0.003 -1.137 1.199
C4 0.003 -1.834 0.000
C5 0.003 -1.137 -1.199
C6 0.003 0.247 -1.200
C7 0.016 2.439 0.000
H8 0.002 0.786 2.139
H9 0.003 -1.676 2.138
H10 0.003 -2.916 0.000
H11 0.003 -1.676 -2.138
H12 0.002 0.786 -2.139
H13 -0.100 2.982 0.926
H14 -0.100 2.982 -0.926

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.39742.41792.79632.41791.39741.47612.14673.39623.87863.39622.14672.22402.2240
C21.39741.38402.40222.77012.40062.49871.08252.13973.38333.85283.38282.75063.4659
C32.41791.38401.38712.39862.77013.77122.13991.08272.14573.38083.85264.12934.6361
C42.79632.40221.38711.38712.40224.27233.38192.14401.08232.14403.38194.90514.9051
C52.41792.77012.39861.38711.38403.77123.85263.38082.14571.08272.13994.63614.1293
C61.39742.40062.77012.40221.38402.49873.38283.85283.38332.13971.08253.46592.7506
C71.47612.49873.77124.27233.77122.49872.70364.63705.35464.63702.70361.08011.0801
H82.14671.08252.13993.38193.85263.38282.70362.46154.27534.93534.27872.51143.7726
H93.39622.13971.08272.14403.38083.85284.63702.46152.47184.27654.93534.81435.5766
H103.87863.38332.14571.08232.14573.38335.35464.27532.47182.47184.27535.97135.9713
H113.39623.85283.38082.14401.08272.13974.63704.93534.27652.47182.46155.57664.8143
H122.14673.38283.85263.38192.13991.08252.70364.27874.93534.27532.46153.77262.5114
H132.22402.75064.12934.90514.63613.46591.08012.51144.81435.97135.57663.77261.8523
H142.22403.46594.63614.90514.12932.75061.08013.77265.57665.97134.81432.51141.8523

picture of benzyl radical state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 120.757 C1 C2 H8 119.376
C1 C6 C5 120.757 C1 C6 H12 119.376
C1 C7 H13 120.139 C1 C7 H14 120.139
C2 C1 C6 118.405 C2 C1 C7 120.795
C2 C3 C4 120.199 C2 C3 H9 119.825
C3 C2 H8 119.867 C3 C4 C5 119.683
C3 C4 H10 120.159 C4 C3 H9 119.976
C4 C5 C6 120.199 C4 C5 H11 119.976
C5 C1 C7 150.257 C5 C4 H10 120.159
C5 C6 H12 119.867 C6 C5 H11 119.825
H13 C7 H14 118.068
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at ROHF/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.000      
2 C -0.065      
3 C -0.063      
4 C -0.065      
5 C -0.063      
6 C -0.065      
7 C -0.104      
8 H 0.061      
9 H 0.063      
10 H 0.062      
11 H 0.063      
12 H 0.061      
13 H 0.058      
14 H 0.058      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.092 0.098 0.000 0.134
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -40.823 -0.285 0.000
y -0.285 -36.601 -0.000
z 0.000 -0.000 -36.467
Traceless
 xyz
x -4.289 -0.285 0.000
y -0.285 2.044 -0.000
z 0.000 -0.000 2.245
Polar
3z2-r24.490
x2-y2-4.222
xy-0.285
xz0.000
yz-0.000


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


<r2> (average value of r2) Å2
<r2> 189.093
(<r2>)1/2 13.751