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

using model chemistry: PBEPBE/cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at PBEPBE/cc-pVDZ
 hartrees
Energy at 0K-270.568362
Energy at 298.15K-270.575095
HF Energy-270.568362
Nuclear repulsion energy258.067686
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 PBEPBE/cc-pVDZ
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 3138 3119 12.08      
2 A1 3118 3100 3.86      
3 A1 3103 3085 7.62      
4 A1 3085 3067 3.56      
5 A1 1574 1565 0.56      
6 A1 1465 1457 6.82      
7 A1 1425 1416 0.11      
8 A1 1270 1263 3.47      
9 A1 1146 1139 0.12      
10 A1 1015 1009 2.54      
11 A1 965 959 0.38      
12 A1 814 809 0.35      
13 A1 515 512 0.22      
14 A2 942 936 0.00      
15 A2 806 801 0.00      
16 A2 491 488 0.00      
17 A2 376 374 0.00      
18 B1 960 955 0.00      
19 B1 873 868 3.87      
20 B1 754 750 36.76      
21 B1 689 685 3.09      
22 B1 665 661 37.89      
23 B1 464 461 10.64      
24 B1 193 192 0.93      
25 B2 3195 3176 7.26      
26 B2 3124 3105 33.35      
27 B2 3105 3087 1.13      
28 B2 1542 1533 0.36      
29 B2 1433 1425 4.47      
30 B2 1358 1350 1.57      
31 B2 1283 1275 1.02      
32 B2 1131 1124 0.01      
33 B2 1081 1075 3.53      
34 B2 937 931 1.66      
35 B2 603 600 0.00      
36 B2 345 343 0.14      

Unscaled Zero Point Vibrational Energy (zpe) 24490.3 cm-1
Scaled (by 0.9942) Zero Point Vibrational Energy (zpe) 24348.2 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 PBEPBE/cc-pVDZ
ABC
0.18232 0.08903 0.05982

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.002
C2 0.000 1.224 0.254
C3 0.000 1.218 -1.139
C4 0.000 0.000 -1.850
C5 0.000 -1.218 -1.139
C6 0.000 -1.224 0.254
C7 0.000 0.000 2.413
H8 0.000 2.179 0.803
H9 0.000 2.171 -1.689
H10 0.000 0.000 -2.949
H11 0.000 -2.171 -1.689
H12 0.000 -2.179 0.803
H13 0.000 0.942 2.978
H14 0.000 -0.942 2.978

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.43492.46352.85162.46351.43491.41122.18763.45773.95103.45772.18762.18962.1896
C21.43491.39322.43402.81212.44892.48221.10082.16133.42913.91243.44702.73903.4811
C32.46351.39321.41022.43642.81213.75552.16671.10032.18163.43393.91284.12694.6501
C42.85162.43401.41021.41022.43404.26283.43252.17741.09942.17743.43254.91914.9191
C52.46352.81212.43641.41021.39323.75553.91283.43392.18161.10032.16674.65014.1269
C61.43492.44892.81212.43401.39322.48223.44703.91243.42912.16131.10083.48112.7390
C71.41122.48223.75554.26283.75552.48222.70904.64135.36224.64132.70901.09891.0989
H82.18761.10082.16673.43253.91283.44702.70902.49184.33865.01314.35712.50213.8043
H93.45772.16131.10032.17743.43393.91244.64132.49182.51074.34295.01314.82635.6106
H103.95103.42912.18161.09942.18163.42915.36224.33862.51072.51074.33866.00196.0019
H113.45773.91243.43392.17741.10032.16134.64135.01314.34292.51072.49185.61064.8263
H122.18763.44703.91283.43252.16671.10082.70904.35715.01314.33862.49183.80432.5021
H132.18962.73904.12694.91914.65013.48111.09892.50214.82636.00195.61063.80431.8849
H142.18963.48114.65014.91914.12692.73901.09893.80435.61066.00194.82632.50211.8849

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 121.165 C1 C2 H8 118.662
C1 C6 C5 121.165 C1 C6 H12 118.662
C1 C7 H13 120.952 C1 C7 H14 120.952
C2 C1 C6 117.158 C2 C1 C7 121.421
C2 C3 C4 120.503 C2 C3 H9 119.707
C3 C2 H8 120.173 C3 C4 C5 119.507
C3 C4 H10 120.246 C4 C3 H9 119.791
C4 C5 C6 120.503 C4 C5 H11 119.791
C5 C1 C7 150.363 C5 C4 H10 120.246
C5 C6 H12 120.173 C6 C5 H11 119.707
H13 C7 H14 118.096
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.044      
2 C 0.009      
3 C 0.031      
4 C 0.015      
5 C 0.031      
6 C 0.009      
7 C 0.024      
8 H -0.032      
9 H -0.018      
10 H -0.019      
11 H -0.018      
12 H -0.032      
13 H 0.021      
14 H 0.021      


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 -0.128 0.128
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -45.671 0.000 0.000
y 0.000 -37.343 0.000
z 0.000 0.000 -37.672
Traceless
 xyz
x -8.164 0.000 0.000
y 0.000 4.329 0.000
z 0.000 0.000 3.835
Polar
3z2-r27.671
x2-y2-8.328
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.280 0.000 0.000
y 0.000 12.394 0.000
z 0.000 0.000 17.260


<r2> (average value of r2) Å2
<r2> 192.896
(<r2>)1/2 13.889