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

using model chemistry: BLYP/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 BLYP/6-31+G**
 hartrees
Energy at 0K-270.804541
Energy at 298.15K-270.811251
HF Energy-270.804541
Nuclear repulsion energy257.569297
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 BLYP/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 3124 3108 17.40      
2 A1 3107 3090 7.16      
3 A1 3092 3076 11.41      
4 A1 3083 3067 4.47      
5 A1 1550 1541 0.30      
6 A1 1472 1464 8.31      
7 A1 1456 1448 0.81      
8 A1 1266 1259 0.58      
9 A1 1161 1155 0.42      
10 A1 1004 999 2.54      
11 A1 965 959 1.26      
12 A1 804 800 0.38      
13 A1 518 516 0.14      
14 A2 935 930 0.00      
15 A2 802 797 0.00      
16 A2 491 488 0.00      
17 A2 379 377 0.00      
18 B1 950 945 0.00      
19 B1 866 861 5.19      
20 B1 748 744 67.63      
21 B1 694 690 2.91      
22 B1 658 655 49.22      
23 B1 463 461 16.35      
24 B1 192 191 1.39      
25 B2 3178 3161 12.18      
26 B2 3111 3094 48.49      
27 B2 3094 3078 0.90      
28 B2 1521 1513 0.57      
29 B2 1431 1424 3.35      
30 B2 1324 1317 0.03      
31 B2 1305 1298 1.56      
32 B2 1150 1144 0.03      
33 B2 1087 1082 2.74      
34 B2 947 942 2.29      
35 B2 609 606 0.01      
36 B2 350 348 0.15      

Unscaled Zero Point Vibrational Energy (zpe) 24442.5 cm-1
Scaled (by 0.9947) Zero Point Vibrational Energy (zpe) 24312.9 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 BLYP/6-31+G**
ABC
0.18143 0.08856 0.05951

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.006
C2 0.000 1.229 0.254
C3 0.000 1.222 -1.143
C4 0.000 0.000 -1.855
C5 0.000 -1.222 -1.143
C6 0.000 -1.229 0.254
C7 0.000 0.000 2.420
H8 0.000 2.178 0.798
H9 0.000 2.170 -1.689
H10 0.000 0.000 -2.948
H11 0.000 -2.170 -1.689
H12 0.000 -2.178 0.798
H13 0.000 0.934 2.985
H14 0.000 -0.934 2.985

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.44072.47182.86102.47181.44071.41422.18783.45973.95383.45972.18782.18892.1889
C21.44071.39682.44122.82132.45802.49031.09392.15883.42983.91493.45012.74723.4841
C32.47181.39681.41482.44452.82133.76652.16351.09362.18023.43573.91524.13814.6574
C42.86102.44121.41481.41482.44124.27523.43292.17601.09282.17603.43294.92994.9299
C52.47182.82132.44451.41481.39683.76653.91523.43572.18021.09362.16354.65744.1381
C61.44072.45802.82132.44121.39682.49033.45013.91493.42982.15881.09393.48412.7472
C71.41422.49033.76654.27523.76652.49032.71534.64665.36804.64662.71531.09191.0919
H82.18781.09392.16353.43293.91523.45012.71532.48734.33345.00884.35582.51603.8037
H93.45972.15881.09362.17603.43573.91494.64662.48732.50854.33945.00884.83495.6110
H103.95383.42982.18021.09282.18023.42985.36804.33342.50852.50854.33346.00656.0065
H113.45973.91493.43572.17601.09362.15884.64665.00884.33942.50852.48735.61104.8349
H122.18783.45013.91523.43292.16351.09392.71534.35585.00884.33342.48733.80372.5160
H132.18892.74724.13814.92994.65743.48411.09192.51604.83496.00655.61103.80371.8682
H142.18893.48414.65744.92994.13812.74721.09193.80375.61106.00654.83492.51601.8682

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 121.175 C1 C2 H8 118.711
C1 C6 C5 121.175 C1 C6 H12 118.711
C1 C7 H13 121.186 C1 C7 H14 121.186
C2 C1 C6 117.096 C2 C1 C7 121.452
C2 C3 C4 120.517 C2 C3 H9 119.691
C3 C2 H8 120.114 C3 C4 C5 119.519
C3 C4 H10 120.241 C4 C3 H9 119.792
C4 C5 C6 120.517 C4 C5 H11 119.792
C5 C1 C7 150.365 C5 C4 H10 120.241
C5 C6 H12 120.114 C6 C5 H11 119.691
H13 C7 H14 117.628
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at BLYP/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.547      
2 C -0.290      
3 C -0.103      
4 C -0.107      
5 C -0.103      
6 C -0.290      
7 C -0.448      
8 H 0.105      
9 H 0.109      
10 H 0.108      
11 H 0.109      
12 H 0.105      
13 H 0.130      
14 H 0.130      


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 -0.203 0.203
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -47.331 0.000 0.000
y 0.000 -38.234 0.000
z 0.000 0.000 -39.006
Traceless
 xyz
x -8.711 0.000 0.000
y 0.000 4.935 0.000
z 0.000 0.000 3.777
Polar
3z2-r27.553
x2-y2-9.097
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.400 0.000 0.000
y 0.000 13.237 0.000
z 0.000 0.000 18.886


<r2> (average value of r2) Å2
<r2> 194.434
(<r2>)1/2 13.944