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

using model chemistry: PBE1PBE/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at PBE1PBE/6-31G*
 hartrees
Energy at 0K-270.584037
Energy at 298.15K-270.590911
HF Energy-270.584037
Nuclear repulsion energy260.229935
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 PBE1PBE/6-31G*
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 3239 3078 14.32      
2 A1 3220 3060 5.13      
3 A1 3206 3047 8.79      
4 A1 3198 3039 4.28      
5 A1 1639 1557 1.03      
6 A1 1530 1454 7.25      
7 A1 1512 1437 0.00      
8 A1 1306 1241 3.54      
9 A1 1200 1140 0.01      
10 A1 1056 1004 1.71      
11 A1 1001 952 0.23      
12 A1 842 800 0.28      
13 A1 532 505 0.39      
14 A2 968 920 0.00      
15 A2 839 797 0.00      
16 A2 498 473 0.00      
17 A2 391 371 0.00      
18 B1 991 942 0.03      
19 B1 901 857 6.43      
20 B1 774 736 63.25      
21 B1 701 666 0.00      
22 B1 685 651 48.61      
23 B1 479 455 11.81      
24 B1 203 193 1.19      
25 B2 3297 3133 8.03      
26 B2 3226 3066 36.50      
27 B2 3208 3049 1.21      
28 B2 1619 1538 0.70      
29 B2 1499 1424 6.57      
30 B2 1383 1314 0.29      
31 B2 1357 1289 1.11      
32 B2 1187 1128 0.02      
33 B2 1132 1075 2.99      
34 B2 983 935 1.35      
35 B2 626 595 0.00      
36 B2 354 336 0.11      

Unscaled Zero Point Vibrational Energy (zpe) 25390.1 cm-1
Scaled (by 0.9503) Zero Point Vibrational Energy (zpe) 24128.3 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 PBE1PBE/6-31G*
ABC
0.18551 0.09039 0.06078

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.991
C2 0.000 1.214 0.252
C3 0.000 1.209 -1.131
C4 0.000 0.000 -1.835
C5 0.000 -1.209 -1.131
C6 0.000 -1.214 0.252
C7 0.000 0.000 2.397
H8 0.000 2.157 0.794
H9 0.000 2.151 -1.674
H10 0.000 0.000 -2.921
H11 0.000 -2.151 -1.674
H12 0.000 -2.157 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
C11.42142.44222.82602.44221.42141.40572.16553.42423.91233.42422.16552.17532.1753
C21.42141.38312.41442.78972.42832.46471.08752.14123.39753.87673.41412.72123.4519
C32.44221.38311.39862.41722.78973.72922.14631.08702.15993.40273.87724.09884.6141
C42.82602.41441.39861.39862.41444.23183.40082.15661.08632.15663.40084.88224.8822
C52.44222.78972.41721.39861.38313.72923.87723.40272.15991.08702.14634.61414.0988
C61.42142.42832.78972.41441.38312.46473.41413.87673.39752.14121.08753.45192.7212
C71.40572.46473.72924.23183.72922.46472.68674.60365.31804.60362.68671.08521.0852
H82.16551.08752.14633.40083.87723.41412.68672.46814.29624.96424.31322.48773.7683
H93.42422.14121.08702.15663.40273.87674.60362.46812.48624.30114.96424.79025.5619
H103.91233.39752.15991.08632.15993.39755.31804.29622.48622.48624.29625.95225.9522
H113.42423.87673.40272.15661.08702.14124.60364.96424.30112.48622.46815.56194.7902
H122.16553.41413.87723.40082.14631.08752.68674.31324.96424.29622.46813.76832.4877
H132.17532.72124.09884.88224.61413.45191.08522.48774.79025.95225.56193.76831.8574
H142.17533.45194.61414.88224.09882.72121.08523.76835.56195.95224.79022.48771.8574

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 121.102 C1 C2 H8 118.739
C1 C6 C5 121.102 C1 C6 H12 118.739
C1 C7 H13 121.150 C1 C7 H14 121.150
C2 C1 C6 117.338 C2 C1 C7 121.331
C2 C3 C4 120.445 C2 C3 H9 119.711
C3 C2 H8 120.159 C3 C4 C5 119.569
C3 C4 H10 120.215 C4 C3 H9 119.845
C4 C5 C6 120.445 C4 C5 H11 119.845
C5 C1 C7 150.338 C5 C4 H10 120.215
C5 C6 H12 120.159 C6 C5 H11 119.711
H13 C7 H14 117.700
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.173      
2 C -0.209      
3 C -0.167      
4 C -0.174      
5 C -0.167      
6 C -0.209      
7 C -0.440      
8 H 0.166      
9 H 0.170      
10 H 0.170      
11 H 0.170      
12 H 0.166      
13 H 0.175      
14 H 0.175      


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 -0.081 0.081
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -45.391 0.000 0.000
y 0.000 -36.202 0.000
z 0.000 0.000 -36.436
Traceless
 xyz
x -9.072 0.000 0.000
y 0.000 4.712 0.000
z 0.000 0.000 4.361
Polar
3z2-r28.722
x2-y2-9.189
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.634 0.000 0.000
y 0.000 11.326 0.000
z 0.000 0.000 15.596


<r2> (average value of r2) Å2
<r2> 189.645
(<r2>)1/2 13.771