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All results from a given calculation for C6H5COOH (benzoic acid)

using model chemistry: mPW1PW91/6-311G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at mPW1PW91/6-311G*
 hartrees
Energy at 0K-420.814146
Energy at 298.15K-420.821318
Nuclear repulsion energy406.518885
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 mPW1PW91/6-311G*
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' 3804 3631 67.16      
2 A' 3242 3094 3.61      
3 A' 3235 3087 7.01      
4 A' 3221 3074 20.27      
5 A' 3210 3064 14.72      
6 A' 3198 3052 0.49      
7 A' 1843 1759 348.33      
8 A' 1680 1603 18.31      
9 A' 1659 1583 4.98      
10 A' 1546 1475 2.73      
11 A' 1500 1432 19.26      
12 A' 1408 1344 119.60      
13 A' 1381 1318 4.17      
14 A' 1352 1290 6.72      
15 A' 1239 1183 230.49      
16 A' 1205 1150 68.35      
17 A' 1192 1138 0.29      
18 A' 1142 1090 53.82      
19 A' 1110 1059 40.08      
20 A' 1060 1011 11.42      
21 A' 1026 979 0.81      
22 A' 788 752 14.24      
23 A' 647 617 55.62      
24 A' 633 604 0.03      
25 A' 503 480 6.07      
26 A' 387 369 5.29      
27 A' 215 206 1.42      
28 A" 1016 969 0.08      
29 A" 994 949 0.13      
30 A" 963 919 1.26      
31 A" 869 830 0.05      
32 A" 837 799 1.11      
33 A" 741 707 157.40      
34 A" 711 678 17.73      
35 A" 628 600 65.68      
36 A" 437 417 10.04      
37 A" 416 397 0.52      
38 A" 159 151 1.16      
39 A" 73 70 0.93      

Unscaled Zero Point Vibrational Energy (zpe) 25634.0 cm-1
Scaled (by 0.9544) Zero Point Vibrational Energy (zpe) 24465.1 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 mPW1PW91/6-311G*
ABC
0.13048 0.04121 0.03132

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-311G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.221 0.000
C2 1.269 -0.358 0.000
C3 1.402 -1.737 0.000
C4 0.268 -2.544 0.000
C5 -0.998 -1.969 0.000
C6 -1.136 -0.589 0.000
C7 -0.085 1.699 0.000
O8 0.862 2.444 0.000
O9 -1.351 2.154 0.000
H10 2.135 0.292 0.000
H11 2.388 -2.186 0.000
H12 0.372 -3.623 0.000
H13 -1.880 -2.600 0.000
H14 -2.118 -0.133 0.000
H15 -1.297 3.117 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 O8 O9 H10 H11 H12 H13 H14 H15
C11.39422.40782.77712.40671.39471.48112.38482.35902.13643.39053.86163.38962.14693.1738
C21.39421.38582.40392.78132.41562.46232.83153.62961.08322.14383.38623.86543.39374.3195
C32.40781.38581.39112.41112.78543.74424.21634.76682.15781.08402.14863.39333.86775.5542
C42.77712.40391.39111.39052.40684.25755.02304.96913.39522.15041.08452.14903.39165.8732
C52.40672.78132.41111.39051.38753.78064.78954.13873.86433.39372.14771.08412.15075.0954
C61.39472.41562.78542.40681.38752.51783.63162.75143.38763.86943.38852.14441.08243.7095
C71.48112.46233.74424.25753.78062.51781.20441.34572.62834.60555.34194.65892.73661.8655
O82.38482.83154.21635.02304.78953.63161.20442.23172.50084.87546.08715.74103.93922.2609
O92.35903.62964.76684.96914.13872.75141.34572.23173.95255.72906.02894.78342.41210.9646
H102.13641.08322.15783.39523.86433.38762.62832.50083.95252.49094.29394.94844.27404.4453
H113.39052.14381.08402.15043.39373.86944.60554.87545.72902.49092.47634.28884.95186.4580
H123.86163.38622.14861.08452.14773.38855.34196.08716.02894.29392.47632.47394.28726.9440
H133.38963.86543.39332.14901.08412.14444.65895.74104.78344.94844.28882.47392.47835.7468
H142.14693.39373.86773.39162.15071.08242.73663.93922.41214.27404.95184.28722.47833.3522
H153.17384.31955.55425.87325.09543.70951.86552.26090.96464.44536.45806.94405.74683.3522

picture of benzoic acid state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 120.016 C1 C2 H10 118.622
C1 C6 C5 119.773 C1 C6 H14 119.628
C1 C7 O8 124.934 C1 C7 O9 113.044
C2 C1 C6 120.027 C2 C1 C7 117.787
C2 C3 C4 119.916 C2 C3 H11 119.955
C3 C2 H10 121.362 C3 C4 C5 120.182
C3 C4 H12 119.923 C4 C3 H11 120.129
C4 C5 C6 120.086 C4 C5 H13 120.050
C5 C4 H12 119.895 C5 C6 H14 120.599
C6 C1 C7 122.186 C6 C5 H13 119.864
C7 O9 H15 106.535 O8 C7 O9 122.022
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.190      
2 C -0.159      
3 C -0.206      
4 C -0.179      
5 C -0.207      
6 C -0.152      
7 C 0.487      
8 O -0.351      
9 O -0.542      
10 H 0.231      
11 H 0.210      
12 H 0.209      
13 H 0.209      
14 H 0.229      
15 H 0.411      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -1.212 -1.430 0.000 1.875
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -48.181 -5.998 0.000
y -5.998 -44.187 0.000
z 0.000 0.000 -54.279
Traceless
 xyz
x 1.053 -5.998 0.000
y -5.998 7.043 0.000
z 0.000 0.000 -8.095
Polar
3z2-r2-16.191
x2-y2-3.993
xy-5.998
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 12.805 -0.240 0.000
y -0.240 15.874 0.000
z 0.000 0.000 5.019


<r2> (average value of r2) Å2
<r2> 326.885
(<r2>)1/2 18.080