return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

All results from a given calculation for C6H5CH3 (toluene)

using model chemistry: B97D3/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B97D3/6-31G*
 hartrees
Energy at 0K-271.381892
Energy at 298.15K 
HF Energy-271.381892
Nuclear repulsion energy 
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 B97D3/6-31G*
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A' 3147 3085 25.81      
2 A' 3125 3064 13.04      
3 A' 3110 3049 12.59      
4 A' 3044 2984 26.40      
5 A' 2982 2923 37.90      
6 A' 1628 1596 6.08      
7 A' 1515 1485 10.75      
8 A' 1490 1461 4.97      
9 A' 1410 1382 0.01      
10 A' 1215 1191 1.57      
11 A' 1193 1169 0.22      
12 A' 1050 1029 9.69      
13 A' 1039 1019 2.03      
14 A' 999 980 0.05      
15 A' 954 935 0.05      
16 A' 875 858 0.44      
17 A' 788 772 0.60      
18 A' 720 706 37.73      
19 A' 690 676 14.41      
20 A' 519 509 0.58      
21 A' 461 452 5.53      
22 A' 201 197 1.82      
23 A" 3134 3072 63.82      
24 A" 3112 3051 8.96      
25 A" 3071 3011 19.75      
26 A" 1607 1575 0.19      
27 A" 1499 1470 9.89      
28 A" 1459 1430 0.27      
29 A" 1356 1329 0.02      
30 A" 1332 1306 0.08      
31 A" 1171 1148 0.06      
32 A" 1101 1079 4.19      
33 A" 994 974 0.00      
34 A" 926 908 0.00      
35 A" 828 812 0.01      
36 A" 625 613 0.07      
37 A" 402 394 0.00      
38 A" 338 332 0.26      
39 A" 31i 31i 0.29      

Unscaled Zero Point Vibrational Energy (zpe) 27538.8 cm-1
Scaled (by 0.9804) Zero Point Vibrational Energy (zpe) 26999.0 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 B97D3/6-31G*
ABC
0.18310 0.08324 0.05785

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/6-31G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.005 0.917 0.000
C2 0.008 0.196 1.207
C3 0.008 -1.204 1.210
C4 0.007 -1.911 0.000
C5 0.008 -1.204 -1.210
C6 0.008 0.196 -1.207
C7 -0.030 2.430 0.000
H8 0.012 0.740 2.155
H9 0.013 -1.744 2.159
H10 0.011 -3.002 0.000
H11 0.013 -1.744 -2.159
H12 0.012 0.740 -2.155
H13 -1.067 2.803 0.000
H14 0.465 2.844 0.890
H15 0.465 2.844 -0.890

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14 H15
C11.40632.44282.82812.44281.40631.51322.16193.42713.91923.42712.16192.16932.17152.1715
C21.40631.40052.42812.79392.41442.53971.09242.16113.41813.88523.40553.06762.70573.4087
C32.44281.40051.40122.42052.79393.83112.16151.09142.16683.41213.88624.32224.08674.5837
C42.82812.42811.40121.40122.42814.34113.41582.16521.09102.16523.41584.83474.85884.8588
C52.44282.79392.42051.40121.40053.83113.88623.41212.16681.09142.16154.32224.58374.0867
C61.40632.41442.79392.42811.40052.53973.40553.88523.41812.16111.09243.06763.40872.7057
C71.51322.53973.83114.34113.83112.53972.73894.69985.43214.69982.73891.10241.09941.0994
H82.16191.09242.16153.41583.88623.40552.73892.48414.31764.97764.30923.17242.49643.7287
H93.42712.16111.09142.16523.41213.88524.69982.48412.49844.31774.97765.14844.78185.5273
H103.91923.41812.16681.09102.16683.41815.43214.31762.49842.49844.31765.90415.93045.9304
H113.42713.88523.41212.16521.09142.16114.69984.97764.31772.49842.48415.14845.52734.7818
H122.16193.40553.88623.41582.16151.09242.73894.30924.97764.31762.48413.17243.72872.4964
H132.16933.06764.32224.83474.32223.06761.10243.17245.14845.90415.14843.17241.77291.7729
H142.17152.70574.08674.85884.58373.40871.09942.49644.78185.93045.52733.72871.77291.7802
H152.17153.40874.58374.85884.08672.70571.09943.72875.52735.93044.78182.49641.77291.7802

picture of toluene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 121.016 C1 C2 H8 119.282
C1 C6 C5 121.016 C1 C6 H12 119.282
C1 C7 H13 111.084 C1 C7 H14 111.495
C1 C7 H15 111.495 C2 C1 C6 118.227
C2 C1 C7 120.882 C2 C3 C4 120.138
C2 C3 H9 119.783 C3 C2 H8 119.702
C3 C4 C5 119.464 C3 C4 H10 120.268
C4 C3 H9 120.078 C4 C5 C6 120.138
C4 C5 H11 120.078 C5 C4 H10 120.268
C5 C6 H12 119.702 C6 C1 C7 120.882
C6 C5 H11 119.783 H13 C7 H14 107.254
H13 C7 H15 107.254 H14 C7 H15 108.047
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.169      
2 C -0.179      
3 C -0.133      
4 C -0.137      
5 C -0.133      
6 C -0.179      
7 C -0.541      
8 H 0.124      
9 H 0.131      
10 H 0.131      
11 H 0.131      
12 H 0.124      
13 H 0.170      
14 H 0.161      
15 H 0.161      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.043 0.336 0.000 0.339
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -44.698 -0.117 0.000
y -0.117 -37.587 0.000
z 0.000 0.000 -38.050
Traceless
 xyz
x -6.879 -0.117 0.000
y -0.117 3.786 0.000
z 0.000 0.000 3.093
Polar
3z2-r26.186
x2-y2-7.110
xy-0.117
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.637 -0.108 0.000
y -0.108 13.857 0.000
z 0.000 0.000 11.931


<r2> (average value of r2) Å2
<r2> 202.372
(<r2>)1/2 14.226