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

using model chemistry: B3PW91/6-31G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at B3PW91/6-31G**
 hartrees
Energy at 0K-270.821100
Energy at 298.15K-270.827975
HF Energy-270.821100
Nuclear repulsion energy259.996844
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 B3PW91/6-31G**
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 3220 3086 14.40      
2 A1 3202 3068 5.39      
3 A1 3187 3054 7.91      
4 A1 3176 3044 5.52      
5 A1 1624 1556 1.04      
6 A1 1517 1454 6.83      
7 A1 1499 1437 0.00      
8 A1 1296 1243 3.39      
9 A1 1191 1141 0.01      
10 A1 1047 1004 1.74      
11 A1 995 954 0.27      
12 A1 836 801 0.29      
13 A1 530 508 0.36      
14 A2 966 926 0.00      
15 A2 834 799 0.00      
16 A2 496 475 0.00      
17 A2 389 373 0.00      
18 B1 987 946 0.01      
19 B1 898 861 5.70      
20 B1 772 739 59.23      
21 B1 702 673 0.60      
22 B1 683 655 43.64      
23 B1 477 457 10.89      
24 B1 202 193 1.05      
25 B2 3278 3142 8.44      
26 B2 3207 3073 38.00      
27 B2 3189 3057 0.88      
28 B2 1602 1535 0.69      
29 B2 1486 1424 6.10      
30 B2 1372 1315 0.30      
31 B2 1345 1289 1.20      
32 B2 1179 1130 0.03      
33 B2 1123 1076 2.87      
34 B2 975 935 1.41      
35 B2 624 598 0.00      
36 B2 354 339 0.11      

Unscaled Zero Point Vibrational Energy (zpe) 25229.1 cm-1
Scaled (by 0.9584) Zero Point Vibrational Energy (zpe) 24179.6 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 B3PW91/6-31G**
ABC
0.18514 0.09021 0.06066

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.993
C2 0.000 1.216 0.252
C3 0.000 1.210 -1.132
C4 0.000 0.000 -1.837
C5 0.000 -1.210 -1.132
C6 0.000 -1.216 0.252
C7 0.000 0.000 2.399
H8 0.000 2.158 0.793
H9 0.000 2.151 -1.675
H10 0.000 0.000 -2.923
H11 0.000 -2.151 -1.675
H12 0.000 -2.158 0.793
H13 0.000 0.928 2.960
H14 0.000 -0.928 2.960

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.42372.44542.82982.44541.42371.40642.16753.42713.91583.42712.16752.17552.1755
C21.42371.38422.41692.79272.43142.46761.08712.14193.39963.87943.41722.72363.4544
C32.44541.38421.40002.41962.79273.73302.14671.08672.16103.40473.87984.10234.6175
C42.82982.41691.40001.40002.41694.23623.40262.15751.08602.15753.40264.88634.8863
C52.44542.79272.41961.40001.38423.73303.87983.40472.16101.08672.14674.61754.1023
C61.42372.43142.79272.41691.38422.46763.41723.87943.39962.14191.08713.45442.7236
C71.40642.46763.73304.23623.73302.46762.69014.60725.32214.60722.69011.08481.0848
H82.16751.08712.14673.40263.87983.41722.69012.46834.29774.96654.31662.49163.7714
H93.42712.14191.08672.15753.40473.87944.60722.46832.48724.30284.96654.79385.5650
H103.91583.39962.16101.08602.16103.39965.32214.29772.48722.48724.29775.95605.9560
H113.42713.87943.40472.15751.08672.14194.60724.96654.30282.48722.46835.56504.7938
H122.16753.41723.87983.40262.14671.08712.69014.31664.96654.29772.46833.77142.4916
H132.17552.72364.10234.88634.61753.45441.08482.49164.79385.95605.56503.77141.8568
H142.17553.45444.61754.88634.10232.72361.08483.77145.56505.95604.79382.49161.8568

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 121.116 C1 C2 H8 118.758
C1 C6 C5 121.116 C1 C6 H12 118.758
C1 C7 H13 121.147 C1 C7 H14 121.147
C2 C1 C6 117.277 C2 C1 C7 121.362
C2 C3 C4 120.465 C2 C3 H9 119.705
C3 C2 H8 120.125 C3 C4 C5 119.561
C3 C4 H10 120.220 C4 C3 H9 119.831
C4 C5 C6 120.465 C4 C5 H11 119.831
C5 C1 C7 150.348 C5 C4 H10 120.220
C5 C6 H12 120.125 C6 C5 H11 119.705
H13 C7 H14 117.706
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.138      
2 C -0.151      
3 C -0.119      
4 C -0.126      
5 C -0.119      
6 C -0.151      
7 C -0.329      
8 H 0.117      
9 H 0.122      
10 H 0.122      
11 H 0.122      
12 H 0.117      
13 H 0.128      
14 H 0.128      


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 -0.089 0.089
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -45.143 0.000 0.000
y 0.000 -36.261 0.000
z 0.000 0.000 -36.520
Traceless
 xyz
x -8.753 0.000 0.000
y 0.000 4.571 0.000
z 0.000 0.000 4.182
Polar
3z2-r28.364
x2-y2-8.882
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.714 0.000 0.000
y 0.000 11.501 0.000
z 0.000 0.000 15.877


<r2> (average value of r2) Å2
<r2> 189.931
(<r2>)1/2 13.782