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

using model chemistry: mPW1PW91/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2B1
Energy calculated at mPW1PW91/6-31+G**
 hartrees
Energy at 0K-270.869057
Energy at 298.15K-270.875957
HF Energy-270.869057
Nuclear repulsion energy260.128832
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 mPW1PW91/6-31+G**
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 3240 3084 12.48      
2 A1 3221 3066 4.28      
3 A1 3207 3052 7.19      
4 A1 3192 3038 6.50      
5 A1 1627 1549 0.61      
6 A1 1519 1446 9.30      
7 A1 1501 1429 0.19      
8 A1 1298 1235 2.60      
9 A1 1194 1136 0.07      
10 A1 1050 999 3.05      
11 A1 999 951 0.44      
12 A1 839 798 0.34      
13 A1 532 506 0.34      
14 A2 982 934 0.00      
15 A2 838 797 0.00      
16 A2 493 469 0.00      
17 A2 389 371 0.00      
18 B1 996 948 0.00      
19 B1 907 863 6.07      
20 B1 775 738 80.73      
21 B1 708 674 1.81      
22 B1 684 651 56.14      
23 B1 477 454 17.92      
24 B1 199 190 1.78      
25 B2 3295 3137 7.37      
26 B2 3227 3071 33.37      
27 B2 3209 3054 1.30      
28 B2 1608 1530 0.57      
29 B2 1489 1417 5.32      
30 B2 1376 1310 0.20      
31 B2 1350 1285 0.80      
32 B2 1181 1124 0.01      
33 B2 1125 1071 4.20      
34 B2 978 931 1.88      
35 B2 625 595 0.00      
36 B2 355 338 0.15      

Unscaled Zero Point Vibrational Energy (zpe) 25341.5 cm-1
Scaled (by 0.9518) Zero Point Vibrational Energy (zpe) 24120.0 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 mPW1PW91/6-31+G**
ABC
0.18536 0.09028 0.06071

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31+G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.992
C2 0.000 1.215 0.252
C3 0.000 1.209 -1.132
C4 0.000 0.000 -1.836
C5 0.000 -1.209 -1.132
C6 0.000 -1.215 0.252
C7 0.000 0.000 2.399
H8 0.000 2.157 0.792
H9 0.000 2.150 -1.674
H10 0.000 0.000 -2.921
H11 0.000 -2.150 -1.674
H12 0.000 -2.157 0.792
H13 0.000 0.928 2.958
H14 0.000 -0.928 2.958

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.42232.44382.82822.44381.42231.40712.16583.42423.91273.42422.16582.17442.1744
C21.42231.38412.41622.79142.42972.46671.08572.14063.39773.87663.41452.72113.4518
C32.44381.38411.39952.41852.79143.73222.14491.08522.15943.40233.87724.09974.6148
C42.82822.41621.39951.39952.41624.23533.40032.15591.08452.15593.40034.88354.8835
C52.44382.79142.41851.39951.38413.73223.87723.40232.15941.08522.14494.61484.0997
C61.42232.42972.79142.41621.38412.46673.41453.87663.39772.14061.08573.45182.7211
C71.40712.46673.73224.23533.73222.46672.68924.60505.31984.60502.68921.08361.0836
H82.16581.08572.14493.40033.87723.41452.68922.46604.29424.96244.31322.48983.7690
H93.42422.14061.08522.15593.40233.87664.60502.46602.48544.29944.96244.79005.5610
H103.91273.39772.15941.08452.15943.39775.31984.29422.48542.48544.29425.95185.9518
H113.42423.87663.40232.15591.08522.14064.60504.96244.29942.48542.46605.56104.7900
H122.16583.41453.87723.40032.14491.08572.68924.31324.96244.29422.46603.76902.4898
H132.17442.72114.09974.88354.61483.45181.08362.48984.79005.95185.56103.76901.8563
H142.17443.45184.61484.88354.09972.72111.08363.76905.56105.95184.79002.48981.8563

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 121.101 C1 C2 H8 118.821
C1 C6 C5 121.101 C1 C6 H12 118.821
C1 C7 H13 121.069 C1 C7 H14 121.069
C2 C1 C6 117.333 C2 C1 C7 121.333
C2 C3 C4 120.456 C2 C3 H9 119.706
C3 C2 H8 120.078 C3 C4 C5 119.551
C3 C4 H10 120.224 C4 C3 H9 119.838
C4 C5 C6 120.456 C4 C5 H11 119.838
C5 C1 C7 150.342 C5 C4 H10 120.224
C5 C6 H12 120.078 C6 C5 H11 119.706
H13 C7 H14 117.862
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.584      
2 C -0.347      
3 C -0.160      
4 C -0.186      
5 C -0.160      
6 C -0.347      
7 C -0.493      
8 H 0.156      
9 H 0.160      
10 H 0.160      
11 H 0.160      
12 H 0.156      
13 H 0.159      
14 H 0.159      


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 -0.101 0.101
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.871 0.000 0.000
y 0.000 -36.902 0.000
z 0.000 0.000 -37.413
Traceless
 xyz
x -9.714 0.000 0.000
y 0.000 5.240 0.000
z 0.000 0.000 4.474
Polar
3z2-r28.948
x2-y2-9.969
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.851 0.000 0.000
y 0.000 12.367 0.000
z 0.000 0.000 17.191


<r2> (average value of r2) Å2
<r2> 190.448
(<r2>)1/2 13.800