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

using model chemistry: HSEh1PBE/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 HSEh1PBE/cc-pVTZ
 hartrees
Energy at 0K-270.696749
Energy at 298.15K-270.703703
HF Energy-270.696749
Nuclear repulsion energy261.194015
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 HSEh1PBE/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 3214 3089 11.35      
2 A1 3195 3071 3.79      
3 A1 3180 3056 6.98      
4 A1 3165 3042 5.14      
5 A1 1618 1555 1.04      
6 A1 1512 1453 9.49      
7 A1 1488 1431 0.53      
8 A1 1296 1245 3.01      
9 A1 1185 1139 0.03      
10 A1 1047 1006 2.37      
11 A1 1003 964 0.44      
12 A1 840 807 0.31      
13 A1 532 512 0.32      
14 A2 984 946 0.00      
15 A2 839 806 0.00      
16 A2 501 481 0.00      
17 A2 391 375 0.00      
18 B1 1000 961 0.00      
19 B1 911 875 5.07      
20 B1 782 752 52.89      
21 B1 713 685 2.28      
22 B1 691 664 52.27      
23 B1 479 460 15.56      
24 B1 200 193 1.42      
25 B2 3266 3139 6.59      
26 B2 3201 3076 30.42      
27 B2 3183 3059 0.95      
28 B2 1598 1536 0.80      
29 B2 1485 1427 6.56      
30 B2 1363 1310 0.11      
31 B2 1346 1293 1.05      
32 B2 1173 1127 0.02      
33 B2 1120 1077 3.30      
34 B2 972 935 1.72      
35 B2 626 602 0.00      
36 B2 354 340 0.11      

Unscaled Zero Point Vibrational Energy (zpe) 25226.2 cm-1
Scaled (by 0.9611) Zero Point Vibrational Energy (zpe) 24244.9 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 HSEh1PBE/cc-pVTZ
ABC
0.18679 0.09110 0.06124

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.985
C2 0.000 1.211 0.251
C3 0.000 1.204 -1.126
C4 0.000 0.000 -1.825
C5 0.000 -1.204 -1.126
C6 0.000 -1.211 0.251
C7 0.000 0.000 2.385
H8 0.000 2.149 0.792
H9 0.000 2.141 -1.669
H10 0.000 0.000 -2.908
H11 0.000 -2.141 -1.669
H12 0.000 -2.149 0.792
H13 0.000 0.924 2.948
H14 0.000 -0.924 2.948

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.41582.43062.81052.43061.41581.39962.15743.41043.89283.41042.15742.16902.1690
C21.41581.37712.40332.77962.42102.45341.08282.13393.38253.86263.40252.71173.4392
C32.43061.37711.39232.40802.77963.71182.13781.08292.15013.38873.86254.08334.5961
C42.81052.40331.39231.39232.40334.21023.38602.14651.08232.14653.38604.86144.8614
C52.43062.77962.40801.39231.37713.71183.86253.38872.15011.08292.13784.59614.0833
C61.41582.42102.77962.40331.37712.45343.40253.86263.38252.13391.08283.43922.7117
C71.39962.45343.71184.21023.71182.45342.67504.58485.29244.58482.67501.08201.0820
H82.15741.08282.13783.38603.86253.40252.67502.46104.27794.94544.29752.47943.7538
H93.41042.13391.08292.14653.38873.86264.58482.46102.47314.28174.94544.77465.5417
H103.89283.38252.15011.08232.15013.38255.29244.27792.47312.47314.27795.92765.9276
H113.41043.86263.38872.14651.08292.13394.58484.94544.28172.47312.46105.54174.7746
H122.15743.40253.86253.38602.13781.08282.67504.29754.94544.27792.46103.75382.4794
H132.16902.71174.08334.86144.59613.43921.08202.47944.77465.92765.54173.75381.8483
H142.16903.43924.59614.86144.08332.71171.08203.75385.54175.92764.77462.47941.8483

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 120.972 C1 C2 H8 118.804
C1 C6 C5 120.972 C1 C6 H12 118.804
C1 C7 H13 121.333 C1 C7 H14 121.333
C2 C1 C6 117.515 C2 C1 C7 121.242
C2 C3 C4 120.412 C2 C3 H9 119.841
C3 C2 H8 120.223 C3 C4 C5 119.717
C3 C4 H10 120.141 C4 C3 H9 119.748
C4 C5 C6 120.412 C4 C5 H11 119.748
C5 C1 C7 150.307 C5 C4 H10 120.141
C5 C6 H12 120.223 C6 C5 H11 119.841
H13 C7 H14 117.335
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.099      
2 C -0.114      
3 C -0.118      
4 C -0.121      
5 C -0.118      
6 C -0.114      
7 C -0.277      
8 H 0.102      
9 H 0.114      
10 H 0.116      
11 H 0.114      
12 H 0.102      
13 H 0.107      
14 H 0.107      


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 -0.092 0.092
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.083 0.000 0.000
y 0.000 -37.004 0.000
z 0.000 0.000 -37.386
Traceless
 xyz
x -8.888 0.000 0.000
y 0.000 4.730 0.000
z 0.000 0.000 4.158
Polar
3z2-r28.315
x2-y2-9.079
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.850 0.000 0.000
y 0.000 12.298 0.000
z 0.000 0.000 16.935


<r2> (average value of r2) Å2
<r2> 188.917
(<r2>)1/2 13.745