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

using model chemistry: B97D3/aug-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 B97D3/aug-cc-pVTZ
 hartrees
Energy at 0K-270.828856
Energy at 298.15K-270.835646
HF Energy-270.828856
Nuclear repulsion energy259.781413
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 B97D3/aug-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 3142 3094 16.62      
2 A1 3123 3075 6.17      
3 A1 3108 3060 11.22      
4 A1 3098 3051 6.14      
5 A1 1566 1542 0.50      
6 A1 1480 1457 8.61      
7 A1 1463 1440 0.02      
8 A1 1277 1257 0.84      
9 A1 1165 1148 0.21      
10 A1 1016 1001 2.34      
11 A1 982 967 1.00      
12 A1 818 806 0.33      
13 A1 525 517 0.15      
14 A2 950 936 0.00      
15 A2 808 795 0.00      
16 A2 488 480 0.00      
17 A2 377 371 0.00      
18 B1 963 948 0.02      
19 B1 876 863 4.03      
20 B1 756 745 50.69      
21 B1 698 687 2.29      
22 B1 665 655 49.32      
23 B1 463 455 15.73      
24 B1 188 185 1.28      
25 B2 3194 3145 10.97      
26 B2 3128 3080 44.42      
27 B2 3110 3063 0.84      
28 B2 1538 1515 0.56      
29 B2 1445 1422 3.98      
30 B2 1335 1315 0.07      
31 B2 1316 1296 1.39      
32 B2 1153 1136 0.03      
33 B2 1095 1078 2.47      
34 B2 953 938 2.23      
35 B2 616 606 0.01      
36 B2 353 348 0.13      

Unscaled Zero Point Vibrational Energy (zpe) 24614.8 cm-1
Scaled (by 0.9847) Zero Point Vibrational Energy (zpe) 24238.2 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 B97D3/aug-cc-pVTZ
ABC
0.18450 0.09016 0.06056

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/aug-cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.995
C2 0.000 1.218 0.252
C3 0.000 1.212 -1.132
C4 0.000 0.000 -1.838
C5 0.000 -1.212 -1.132
C6 0.000 -1.218 0.252
C7 0.000 0.000 2.399
H8 0.000 2.161 0.794
H9 0.000 2.153 -1.676
H10 0.000 0.000 -2.924
H11 0.000 -2.153 -1.676
H12 0.000 -2.161 0.794
H13 0.000 0.929 2.958
H14 0.000 -0.929 2.958

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.42732.44872.83372.44871.42731.40352.17003.43083.91923.43082.17002.17192.1719
C21.42731.38452.41962.79702.43692.46851.08682.14263.40163.88353.42232.72173.4550
C32.44871.38451.40242.42372.79703.73352.14721.08652.16283.40813.88384.10064.6173
C42.83372.41961.40241.40242.41964.23723.40532.15871.08552.15873.40534.88594.8859
C52.44872.79702.42371.40241.38453.73353.88383.40812.16281.08652.14724.61734.1006
C61.42732.43692.79702.41961.38452.46853.42233.88353.40162.14261.08683.45502.7217
C71.40352.46853.73354.23723.73352.46852.69164.60865.32274.60862.69161.08481.0848
H82.17001.08682.14723.40533.88383.42232.69162.46994.29994.97034.32132.49033.7728
H93.43082.14261.08652.15873.40813.88354.60862.46992.48804.30514.97034.79325.5657
H103.91923.40162.16281.08552.16283.40165.32274.29992.48802.48804.29995.95525.9552
H113.43083.88353.40812.15871.08652.14264.60864.97034.30512.48802.46995.56574.7932
H122.17003.42233.88383.40532.14721.08682.69164.32134.97034.29992.46993.77282.4903
H132.17192.72174.10064.88594.61733.45501.08482.49034.79325.95525.56573.77281.8587
H142.17193.45504.61734.88594.10062.72171.08483.77285.56575.95524.79322.49031.8587

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 121.110 C1 C2 H8 118.721
C1 C6 C5 121.110 C1 C6 H12 118.721
C1 C7 H13 121.049 C1 C7 H14 121.049
C2 C1 C6 117.232 C2 C1 C7 121.384
C2 C3 C4 120.494 C2 C3 H9 119.753
C3 C2 H8 120.169 C3 C4 C5 119.561
C3 C4 H10 120.219 C4 C3 H9 119.754
C4 C5 C6 120.494 C4 C5 H11 119.754
C5 C1 C7 150.337 C5 C4 H10 120.219
C5 C6 H12 120.169 C6 C5 H11 119.753
H13 C7 H14 117.901
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 1.456      
2 C -0.681      
3 C -0.256      
4 C -0.256      
5 C -0.256      
6 C -0.681      
7 C -1.078      
8 H 0.253      
9 H 0.278      
10 H 0.342      
11 H 0.278      
12 H 0.253      
13 H 0.174      
14 H 0.174      


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 -0.127 0.127
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.248 0.000 0.000
y 0.000 -37.757 0.000
z 0.000 0.000 -38.325
Traceless
 xyz
x -8.207 0.000 0.000
y 0.000 4.529 0.000
z 0.000 0.000 3.678
Polar
3z2-r27.356
x2-y2-8.490
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.846 0.000 0.000
y 0.000 13.466 0.000
z 0.000 0.000 18.697


<r2> (average value of r2) Å2
<r2> 191.070
(<r2>)1/2 13.823