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

using model chemistry: B3PW91/cc-pVTZ

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/cc-pVTZ
 hartrees
Energy at 0K-270.901230
Energy at 298.15K-270.908164
HF Energy-270.901230
Nuclear repulsion energy260.977397
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/cc-pVTZ
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 3201 3078 11.60      
2 A1 3182 3060 4.62      
3 A1 3167 3046 7.06      
4 A1 3154 3033 5.29      
5 A1 1609 1548 1.04      
6 A1 1506 1448 9.24      
7 A1 1487 1430 0.42      
8 A1 1291 1241 2.63      
9 A1 1183 1138 0.04      
10 A1 1042 1002 2.42      
11 A1 999 960 0.51      
12 A1 836 804 0.33      
13 A1 531 510 0.30      
14 A2 982 944 0.00      
15 A2 835 803 0.00      
16 A2 499 480 0.00      
17 A2 389 374 0.00      
18 B1 997 959 0.00      
19 B1 908 873 4.93      
20 B1 780 750 53.51      
21 B1 713 685 2.82      
22 B1 688 662 50.62      
23 B1 477 459 15.36      
24 B1 199 191 1.36      
25 B2 3253 3128 7.02      
26 B2 3188 3065 32.21      
27 B2 3170 3048 0.65      
28 B2 1589 1528 0.82      
29 B2 1479 1422 6.14      
30 B2 1357 1305 0.02      
31 B2 1341 1290 1.15      
32 B2 1172 1127 0.02      
33 B2 1117 1074 3.18      
34 B2 970 932 1.75      
35 B2 624 601 0.00      
36 B2 353 339 0.12      

Unscaled Zero Point Vibrational Energy (zpe) 25133.4 cm-1
Scaled (by 0.9616) Zero Point Vibrational Energy (zpe) 24168.3 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 B3PW91/cc-pVTZ
ABC
0.18650 0.09092 0.06112

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.989
C2 0.000 1.211 0.251
C3 0.000 1.205 -1.128
C4 0.000 0.000 -1.830
C5 0.000 -1.205 -1.128
C6 0.000 -1.211 0.251
C7 0.000 0.000 2.390
H8 0.000 2.151 0.790
H9 0.000 2.144 -1.669
H10 0.000 0.000 -2.912
H11 0.000 -2.144 -1.669
H12 0.000 -2.151 0.790
H13 0.000 0.927 2.948
H14 0.000 -0.927 2.948

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.41872.43592.81902.43591.41871.40072.16043.41503.90173.41502.16042.16702.1670
C21.41871.37832.40722.78182.42242.45841.08402.13423.38703.86533.40552.71253.4419
C32.43591.37831.39482.41032.78183.71832.13861.08352.15363.39243.86574.08534.5996
C42.81902.40721.39481.39482.40724.21973.39002.14981.08272.14983.39004.86694.8669
C52.43592.78182.41031.39481.37833.71833.86573.39242.15361.08352.13864.59964.0853
C61.41872.42242.78182.40721.37832.45843.40553.86533.38702.13421.08403.44192.7125
C71.40072.45843.71834.21973.71832.45842.68084.59035.30244.59032.68081.08181.0818
H82.16041.08402.13863.39003.86573.40552.68082.45934.28234.94934.30252.48113.7589
H93.41502.13421.08352.14983.39243.86534.59032.45932.47834.28754.94934.77495.5449
H103.90173.38702.15361.08272.15363.38705.30244.28232.47832.47834.28235.93345.9334
H113.41503.86533.39242.14981.08352.13424.59034.94934.28752.47832.45935.54494.7749
H122.16043.40553.86573.39002.13861.08402.68084.30254.94934.28232.45933.75892.4811
H132.16702.71254.08534.86694.59963.44191.08182.48114.77495.93345.54493.75891.8532
H142.16703.44194.59964.86694.08532.71251.08183.75895.54495.93344.77492.48111.8532

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 121.126 C1 C2 H8 118.762
C1 C6 C5 121.126 C1 C6 H12 118.762
C1 C7 H13 121.065 C1 C7 H14 121.065
C2 C1 C6 117.246 C2 C1 C7 121.377
C2 C3 C4 120.474 C2 C3 H9 119.726
C3 C2 H8 120.111 C3 C4 C5 119.553
C3 C4 H10 120.224 C4 C3 H9 119.799
C4 C5 C6 120.474 C4 C5 H11 119.799
C5 C1 C7 150.347 C5 C4 H10 120.224
C5 C6 H12 120.111 C6 C5 H11 119.726
H13 C7 H14 117.870
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.091      
2 C -0.105      
3 C -0.111      
4 C -0.113      
5 C -0.111      
6 C -0.105      
7 C -0.268      
8 H 0.098      
9 H 0.107      
10 H 0.108      
11 H 0.107      
12 H 0.098      
13 H 0.103      
14 H 0.103      


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 -0.101 0.101
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -45.910 0.000 0.000
y 0.000 -36.927 0.000
z 0.000 0.000 -37.338
Traceless
 xyz
x -8.777 0.000 0.000
y 0.000 4.697 0.000
z 0.000 0.000 4.080
Polar
3z2-r28.160
x2-y2-8.983
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.860 0.000 0.000
y 0.000 12.339 0.000
z 0.000 0.000 17.065


<r2> (average value of r2) Å2
<r2> 189.146
(<r2>)1/2 13.753