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

using model chemistry: B1B95/6-31+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 B1B95/6-31+G**
 hartrees
Energy at 0K-270.797067
Energy at 298.15K-270.803925
HF Energy-270.797067
Nuclear repulsion energy260.381287
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 B1B95/6-31+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 3229 3089 13.12      
2 A1 3210 3071 3.97      
3 A1 3195 3057 7.62      
4 A1 3179 3041 6.37      
5 A1 1624 1553 0.47      
6 A1 1513 1447 9.98      
7 A1 1492 1427 0.05      
8 A1 1299 1243 1.83      
9 A1 1188 1136 0.26      
10 A1 1045 1000 3.03      
11 A1 990 947 0.63      
12 A1 834 798 0.49      
13 A1 524 501 0.30      
14 A2 977 935 0.00      
15 A2 833 797 0.00      
16 A2 499 478 0.00      
17 A2 387 370 0.00      
18 B1 991 948 0.00      
19 B1 902 863 5.36      
20 B1 771 738 79.17      
21 B1 709 678 2.51      
22 B1 678 649 50.87      
23 B1 472 452 16.91      
24 B1 196 188 1.61      
25 B2 3282 3140 8.49      
26 B2 3216 3076 35.62      
27 B2 3198 3059 1.53      
28 B2 1602 1533 0.49      
29 B2 1482 1418 5.15      
30 B2 1374 1314 0.37      
31 B2 1342 1283 0.92      
32 B2 1174 1123 0.01      
33 B2 1121 1072 3.86      
34 B2 972 930 2.09      
35 B2 615 588 0.00      
36 B2 349 334 0.13      

Unscaled Zero Point Vibrational Energy (zpe) 25231.4 cm-1
Scaled (by 0.9566) Zero Point Vibrational Energy (zpe) 24136.4 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 B1B95/6-31+G**
ABC
0.18562 0.09051 0.06084

See section I.F.4 to change rotational constant units
Geometric Data calculated at B1B95/6-31+G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.992
C2 0.000 1.214 0.252
C3 0.000 1.208 -1.130
C4 0.000 0.000 -1.834
C5 0.000 -1.208 -1.130
C6 0.000 -1.214 0.252
C7 0.000 0.000 2.395
H8 0.000 2.155 0.793
H9 0.000 2.148 -1.672
H10 0.000 0.000 -2.919
H11 0.000 -2.148 -1.672
H12 0.000 -2.155 0.793
H13 0.000 0.928 2.954
H14 0.000 -0.928 2.954

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.42212.44222.82622.44221.42211.40282.16463.42243.91063.42242.16462.17052.1705
C21.42211.38212.41362.78892.42842.46311.08572.13873.39493.87413.41282.71743.4485
C32.44221.38211.39822.41632.78893.72652.14381.08512.15813.40003.87464.09404.6094
C42.82622.41361.39821.39822.41364.22903.39812.15451.08442.15453.39814.87744.8774
C52.44222.78892.41631.39821.38213.72653.87463.40002.15811.08512.14384.60944.0940
C61.42212.42842.78892.41361.38212.46313.41283.87413.39492.13871.08573.44852.7174
C71.40282.46313.72654.22903.72652.46312.68564.59955.31344.59952.68561.08361.0836
H82.16461.08572.14383.39813.87463.41282.68562.46494.29194.95974.31092.48543.7656
H93.42242.13871.08512.15453.40003.87414.59952.46492.48384.29684.95974.78435.5558
H103.91063.39492.15811.08442.15813.39495.31344.29192.48382.48384.29195.94555.9455
H113.42243.87413.40002.15451.08512.13874.59954.95974.29682.48382.46495.55584.7843
H122.16463.41283.87463.39812.14381.08572.68564.31094.95974.29192.46493.76562.4854
H132.17052.71744.09404.87744.60943.44851.08362.48544.78435.94555.55583.76561.8564
H142.17053.44854.60944.87744.09402.71741.08363.76565.55585.94554.78432.48541.8564

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 121.119 C1 C2 H8 118.740
C1 C6 C5 121.119 C1 C6 H12 118.740
C1 C7 H13 121.068 C1 C7 H14 121.068
C2 C1 C6 117.262 C2 C1 C7 121.369
C2 C3 C4 120.474 C2 C3 H9 119.700
C3 C2 H8 120.141 C3 C4 C5 119.553
C3 C4 H10 120.223 C4 C3 H9 119.826
C4 C5 C6 120.474 C4 C5 H11 119.826
C5 C1 C7 150.349 C5 C4 H10 120.223
C5 C6 H12 120.141 C6 C5 H11 119.700
H13 C7 H14 117.864
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B1B95/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.537      
2 C -0.339      
3 C -0.134      
4 C -0.164      
5 C -0.134      
6 C -0.339      
7 C -0.444      
8 H 0.141      
9 H 0.146      
10 H 0.146      
11 H 0.146      
12 H 0.141      
13 H 0.148      
14 H 0.148      


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 -0.166 0.166
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.742 0.000 0.000
y 0.000 -37.052 0.000
z 0.000 0.000 -37.711
Traceless
 xyz
x -9.361 0.000 0.000
y 0.000 5.175 0.000
z 0.000 0.000 4.186
Polar
3z2-r28.372
x2-y2-9.690
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.876 0.000 0.000
y 0.000 12.460 0.000
z 0.000 0.000 17.601


<r2> (average value of r2) Å2
<r2> 190.164
(<r2>)1/2 13.790