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All results from a given calculation for C6H5CH2 (benzyl 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 yes C2V 2B1
Energy calculated at mPW1PW91/3-21G*
 hartrees
Energy at 0K-269.360376
Energy at 298.15K-269.367399
HF Energy-269.360376
Nuclear repulsion energy260.127787
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 3248 3084 9.76      
2 A1 3227 3064 2.73      
3 A1 3212 3050 4.53      
4 A1 3189 3029 5.12      
5 A1 1613 1532 2.02      
6 A1 1533 1456 0.24      
7 A1 1528 1451 12.00      
8 A1 1310 1244 3.45      
9 A1 1227 1165 0.02      
10 A1 1054 1001 1.78      
11 A1 1026 974 0.34      
12 A1 846 803 0.31      
13 A1 553 525 0.33      
14 A2 1009 958 0.00      
15 A2 853 810 0.00      
16 A2 498 473 0.00      
17 A2 398 378 0.00      
18 B1 1033 981 0.01      
19 B1 927 880 7.71      
20 B1 795 755 76.67      
21 B1 717 681 3.52      
22 B1 708 672 76.70      
23 B1 483 458 19.96      
24 B1 205 195 1.96      
25 B2 3291 3125 6.11      
26 B2 3232 3069 23.79      
27 B2 3213 3051 0.62      
28 B2 1591 1511 2.39      
29 B2 1505 1429 8.57      
30 B2 1400 1329 1.12      
31 B2 1341 1273 0.54      
32 B2 1229 1167 0.07      
33 B2 1145 1087 3.37      
34 B2 996 946 0.79      
35 B2 652 619 0.00      
36 B2 368 349 0.28      

Unscaled Zero Point Vibrational Energy (zpe) 25575.2 cm-1
Scaled (by 0.9496) Zero Point Vibrational Energy (zpe) 24286.2 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
0.18509 0.09035 0.06071

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 0.991
C2 0.000 1.217 0.252
C3 0.000 1.210 -1.132
C4 0.000 0.000 -1.836
C5 0.000 -1.210 -1.132
C6 0.000 -1.217 0.252
C7 0.000 0.000 2.398
H8 0.000 2.156 0.795
H9 0.000 2.148 -1.674
H10 0.000 0.000 -2.918
H11 0.000 -2.148 -1.674
H12 0.000 -2.156 0.795
H13 0.000 0.929 2.956
H14 0.000 -0.929 2.956

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.42362.44322.82652.44321.42361.40702.16473.42313.90943.42312.16472.17312.1731
C21.42361.38382.41652.79362.43392.46691.08432.13973.39613.87723.41612.71893.4514
C32.44321.38381.39982.41972.79363.73122.14591.08372.15793.40123.87794.09704.6129
C42.82652.41651.39981.39982.41654.23353.40072.15381.08292.15383.40074.88044.8804
C52.44322.79362.41971.39981.38383.73123.87793.40122.15791.08372.14594.61294.0970
C61.42362.43392.79362.41651.38382.46693.41613.87723.39612.13971.08433.45142.7189
C71.40702.46693.73124.23353.73122.46692.68674.60415.31644.60412.68671.08321.0832
H82.16471.08432.14593.40073.87793.41612.68672.46914.29354.96154.31162.48533.7661
H93.42312.13971.08372.15383.40123.87724.60412.46912.48204.29554.96154.78805.5590
H103.90943.39612.15791.08292.15793.39615.31644.29352.48202.48204.29355.94715.9471
H113.42313.87723.40122.15381.08372.13974.60414.96154.29552.48202.46915.55904.7880
H122.16473.41613.87793.40072.14591.08432.68674.31164.96154.29352.46913.76612.4853
H132.17312.71894.09704.88044.61293.45141.08322.48534.78805.94715.55903.76611.8571
H142.17313.45144.61294.88044.09702.71891.08323.76615.55905.94714.78802.48531.8571

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 120.969 C1 C2 H8 118.720
C1 C6 C5 120.969 C1 C6 H12 118.720
C1 C7 H13 120.992 C1 C7 H14 120.992
C2 C1 C6 117.476 C2 C1 C7 121.262
C2 C3 C4 120.486 C2 C3 H9 119.772
C3 C2 H8 120.311 C3 C4 C5 119.614
C3 C4 H10 120.193 C4 C3 H9 119.742
C4 C5 C6 120.486 C4 C5 H11 119.742
C5 C1 C7 150.316 C5 C4 H10 120.193
C5 C6 H12 120.311 C6 C5 H11 119.772
H13 C7 H14 118.016
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 -0.065      
2 C -0.205      
3 C -0.222      
4 C -0.222      
5 C -0.222      
6 C -0.205      
7 C -0.392      
8 H 0.218      
9 H 0.223      
10 H 0.222      
11 H 0.223      
12 H 0.218      
13 H 0.214      
14 H 0.214      


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 -0.029 0.029
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.953 0.000 0.000
y 0.000 -35.881 0.000
z 0.000 0.000 -35.930
Traceless
 xyz
x -11.048 0.000 0.000
y 0.000 5.561 0.000
z 0.000 0.000 5.487
Polar
3z2-r210.974
x2-y2-11.072
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.665 0.000 0.000
y 0.000 10.710 0.000
z 0.000 0.000 14.808


<r2> (average value of r2) Å2
<r2> 189.906
(<r2>)1/2 13.781