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 C6H5COOH (benzoic acid)

using model chemistry: PBEPBE/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 PBEPBE/6-311G**
 hartrees
Energy at 0K-420.436956
Energy at 298.15K-420.443872
Nuclear repulsion energy403.183504
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 PBEPBE/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' 3651 3618 65.74      
2 A' 3142 3114 3.23      
3 A' 3134 3106 8.02      
4 A' 3124 3096 13.39      
5 A' 3114 3086 10.97      
6 A' 3103 3075 0.23      
7 A' 1746 1731 279.15      
8 A' 1604 1589 16.35      
9 A' 1583 1569 4.76      
10 A' 1477 1463 1.63      
11 A' 1438 1425 15.54      
12 A' 1357 1345 3.13      
13 A' 1338 1325 97.89      
14 A' 1294 1282 6.27      
15 A' 1177 1167 90.82      
16 A' 1152 1141 88.70      
17 A' 1149 1139 37.65      
18 A' 1085 1075 40.09      
19 A' 1062 1053 99.66      
20 A' 1022 1012 18.01      
21 A' 990 981 1.62      
22 A' 755 748 8.87      
23 A' 618 612 47.90      
24 A' 611 606 0.07      
25 A' 483 479 6.10      
26 A' 374 371 4.96      
27 A' 209 207 1.29      
28 A" 975 966 0.06      
29 A" 955 946 0.10      
30 A" 922 914 1.24      
31 A" 833 826 0.08      
32 A" 796 789 0.03      
33 A" 704 698 118.27      
34 A" 686 679 19.93      
35 A" 592 587 52.11      
36 A" 418 414 9.05      
37 A" 397 394 0.61      
38 A" 150 149 0.96      
39 A" 70 69 0.82      

Unscaled Zero Point Vibrational Energy (zpe) 24645.0 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 24420.7 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 PBEPBE/6-311G**
ABC
0.12809 0.04061 0.03084

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.223 0.000
C2 1.275 -0.367 0.000
C3 1.402 -1.757 0.000
C4 0.256 -2.564 0.000
C5 -1.016 -1.979 0.000
C6 -1.148 -0.588 0.000
C7 -0.074 1.710 0.000
O8 0.888 2.459 0.000
O9 -1.358 2.177 0.000
H10 2.149 0.287 0.000
H11 2.394 -2.214 0.000
H12 0.356 -3.652 0.000
H13 -1.908 -2.610 0.000
H14 -2.134 -0.122 0.000
H15 -1.269 3.150 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 O8 O9 H10 H11 H12 H13 H14 H15
C11.40522.42582.79852.42491.40571.48902.40592.37932.14993.41593.89123.41522.16223.1903
C21.40521.39522.42122.80112.43342.47722.85273.66141.09172.15883.41083.89343.41844.3410
C32.42581.39521.40122.42812.80513.76804.24694.80502.17621.09232.16473.41773.89585.5866
C42.79852.42121.40121.40052.42424.28675.06235.00783.42192.16601.09262.16463.41735.9140
C52.42492.80112.42811.40051.39703.80734.82904.16943.89253.41812.16361.09232.16745.1351
C61.40572.43342.80512.42421.39702.53683.66472.77263.41133.89743.41312.15971.09073.7400
C71.48902.47723.76804.28673.80732.53681.21911.36612.63944.63555.37934.69302.75741.8711
O82.40592.85274.24695.06234.82903.66471.21912.26382.51134.90936.13405.78863.97472.2650
O92.37933.66144.80505.00784.16942.77261.36612.26383.98365.77516.07534.81782.42640.9776
H102.14991.09172.17623.42193.89253.41132.63942.51133.98362.51284.32804.98484.30294.4585
H113.41592.15881.09232.16603.41813.89744.63554.90935.77512.51282.49454.31994.98816.4951
H123.89123.41082.16471.09262.16363.41315.37936.13406.07534.32802.49452.49194.31976.9933
H133.41523.89343.41772.16461.09232.15974.69305.78864.81784.98484.31992.49192.49795.7952
H142.16223.41843.89583.41732.16741.09072.75743.97472.42644.30294.98814.31972.49793.3848
H153.19034.34105.58665.91405.13513.74001.87112.26500.97764.45856.49516.99335.79523.3848

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 120.052 C1 C2 H10 118.324
C1 C6 C5 119.807 C1 C6 H14 119.486
C1 C7 O8 125.045 C1 C7 O9 112.811
C2 C1 C6 119.924 C2 C1 C7 117.690
C2 C3 C4 119.957 C2 C3 H11 119.940
C3 C2 H10 121.624 C3 C4 C5 120.142
C3 C4 H12 119.949 C4 C3 H11 120.103
C4 C5 C6 120.118 C4 C5 H13 120.025
C5 C4 H12 119.909 C5 C6 H14 120.708
C6 C1 C7 122.387 C6 C5 H13 119.857
C7 O9 H15 104.730 O8 C7 O9 122.145
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.230      
2 C -0.021      
3 C -0.103      
4 C -0.072      
5 C -0.104      
6 C -0.013      
7 C 0.380      
8 O -0.306      
9 O -0.306      
10 H 0.112      
11 H 0.104      
12 H 0.104      
13 H 0.103      
14 H 0.109      
15 H 0.245      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -1.167 -1.415 0.000 1.834
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -48.750 -5.635 0.000
y -5.635 -45.004 0.000
z 0.000 0.000 -54.197
Traceless
 xyz
x 0.851 -5.635 0.000
y -5.635 6.469 0.000
z 0.000 0.000 -7.320
Polar
3z2-r2-14.640
x2-y2-3.746
xy-5.635
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 13.476 -0.378 0.000
y -0.378 17.083 0.000
z 0.000 0.000 5.216


<r2> (average value of r2) Å2
<r2> 331.746
(<r2>)1/2 18.214