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: mPW1PW91/aug-cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at mPW1PW91/aug-cc-pVDZ
 hartrees
Energy at 0K-271.530266
Energy at 298.15K-271.538343
Nuclear repulsion energy269.043589
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/aug-cc-pVDZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A 3227 3093 12.51      
2 A 3215 3081 31.01      
3 A 3206 3072 5.58      
4 A 3193 3060 6.06      
5 A 3191 3058 7.93      
6 A 3152 3020 14.69      
7 A 3122 2991 13.71      
8 A 3053 2926 28.69      
9 A 1678 1608 9.90      
10 A 1654 1585 0.24      
11 A 1532 1468 14.39      
12 A 1494 1432 12.41      
13 A 1464 1403 6.48      
14 A 1460 1399 1.12      
15 A 1396 1338 1.25      
16 A 1377 1320 0.27      
17 A 1336 1280 0.25      
18 A 1245 1193 0.45      
19 A 1199 1149 0.36      
20 A 1174 1125 0.03      
21 A 1113 1067 6.78      
22 A 1060 1016 3.86      
23 A 1050 1006 3.23      
24 A 1015 973 0.64      
25 A 995 954 2.13      
26 A 994 952 0.02      
27 A 983 942 0.00      
28 A 908 870 0.36      
29 A 854 819 0.00      
30 A 806 772 0.39      
31 A 738 707 56.76      
32 A 708 679 21.02      
33 A 631 604 0.09      
34 A 526 504 0.40      
35 A 477 457 9.59      
36 A 413 396 0.01      
37 A 342 328 0.46      
38 A 212 203 2.08      
39 A 56 54 0.17      

Unscaled Zero Point Vibrational Energy (zpe) 28123.5 cm-1
Scaled (by 0.9583) Zero Point Vibrational Energy (zpe) 26950.8 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/aug-cc-pVDZ
ABC
0.18504 0.08406 0.05843

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/aug-cc-pVDZ

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.914 0.006 -0.000
C2 -0.191 1.202 -0.000
C3 1.204 1.201 0.000
C4 1.902 -0.004 0.000
C5 1.193 -1.206 -0.000
C6 -0.199 -1.198 -0.000
C7 -2.418 0.003 0.000
H8 -0.728 2.151 -0.001
H9 1.746 2.146 0.000
H10 2.991 -0.009 0.001
H11 1.729 -2.155 -0.000
H12 -0.743 -2.144 -0.000
H13 -2.812 -0.515 0.885
H14 -2.819 1.023 -0.001
H15 -2.814 -0.517 -0.883

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14 H15
C11.39742.43142.81592.43101.40051.50382.15343.41373.90513.41412.15692.15822.15872.1588
C21.39741.39512.41592.77782.40022.52891.09042.15483.40513.86753.39123.25592.63323.2571
C32.43141.39511.39252.40662.77883.81452.15301.08972.15813.39633.86964.45584.02614.4571
C42.81592.41591.39251.39512.41644.31963.40042.15591.08932.15753.40154.82344.83064.8244
C52.43102.77782.40661.39511.39223.80793.86823.39722.16001.08972.15084.15984.58914.1601
C61.40052.40022.77882.41641.39222.52293.39103.86843.40452.15251.09082.84233.43402.8422
C71.50382.52893.81454.31963.80792.52292.73354.68275.40894.67472.72321.09841.09561.0984
H82.15341.09042.15303.40043.86823.39102.73352.47374.30104.95794.29543.49832.37583.4995
H93.41372.15481.08972.15593.39723.86844.68272.47372.48894.30094.95935.35144.70045.3531
H103.90513.40512.15811.08932.16003.40455.40894.30102.48892.48944.30085.89205.90045.8932
H113.41413.86753.39632.15751.08972.15254.67474.95794.30092.48942.47164.90885.54774.9088
H122.15693.39123.86963.40152.15081.09082.72324.29544.95934.30082.47162.77883.78642.7777
H132.15823.25594.45584.82344.15982.84231.09843.49835.35145.89204.90882.77881.77441.7681
H142.15872.63324.02614.83064.58913.43401.09562.37584.70045.90045.54773.78641.77441.7744
H152.15883.25714.45714.82444.16012.84221.09843.49955.35315.89324.90882.77771.76811.7744

picture of toluene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 121.080 C1 C2 H8 119.377
C1 C6 C5 121.026 C1 C6 H12 119.424
C1 C7 H13 111.114 C1 C7 H14 111.323
C1 C7 H15 111.158 C2 C1 C6 118.157
C2 C1 C7 121.267 C2 C3 C4 120.149
C2 C3 H9 119.761 C3 C2 H8 119.543
C3 C4 C5 119.387 C3 C4 H10 120.335
C4 C3 H9 120.090 C4 C5 C6 120.200
C4 C5 H11 120.011 C5 C4 H10 120.278
C5 C6 H12 119.550 C6 C1 C7 120.575
C6 C5 H11 119.789 H13 C7 H14 107.941
H13 C7 H15 107.187 H14 C7 H15 107.941
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.665      
2 C 0.855      
3 C 0.266      
4 C 0.400      
5 C 0.298      
6 C 0.690      
7 C 0.261      
8 H -0.728      
9 H -0.586      
10 H -0.565      
11 H -0.594      
12 H -0.743      
13 H 0.026      
14 H -0.270      
15 H 0.025      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.416 -0.039 0.001 0.418
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -38.232 0.063 0.002
y 0.063 -38.616 -0.000
z 0.002 -0.000 -46.090
Traceless
 xyz
x 4.121 0.063 0.002
y 0.063 3.545 -0.000
z 0.002 -0.000 -7.666
Polar
3z2-r2-15.332
x2-y20.384
xy0.063
xz0.002
yz-0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 15.411 0.067 0.000
y 0.067 13.318 0.000
z 0.000 0.000 7.959


<r2> (average value of r2) Å2
<r2> 201.183
(<r2>)1/2 14.184