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: B3LYP/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 B3LYP/6-311G**
 hartrees
Energy at 0K-420.939441
Energy at 298.15K-420.946578
Nuclear repulsion energy405.097338
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 B3LYP/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' 3771 3646 87.84      
2 A' 3211 3105 2.51      
3 A' 3202 3096 5.35      
4 A' 3188 3082 16.53      
5 A' 3178 3072 13.08      
6 A' 3166 3061 0.39      
7 A' 1803 1743 326.63      
8 A' 1646 1591 17.23      
9 A' 1625 1571 5.45      
10 A' 1525 1474 1.46      
11 A' 1483 1434 17.49      
12 A' 1376 1331 107.29      
13 A' 1350 1306 6.30      
14 A' 1339 1295 3.25      
15 A' 1213 1173 121.53      
16 A' 1190 1151 135.24      
17 A' 1184 1145 0.91      
18 A' 1118 1081 50.42      
19 A' 1093 1057 82.18      
20 A' 1046 1012 15.11      
21 A' 1019 985 0.40      
22 A' 777 751 10.41      
23 A' 642 620 51.71      
24 A' 633 612 0.12      
25 A' 498 482 5.80      
26 A' 384 372 5.00      
27 A' 216 209 1.36      
28 A" 1018 984 0.04      
29 A" 998 965 0.06      
30 A" 963 931 1.14      
31 A" 867 838 0.05      
32 A" 826 799 0.02      
33 A" 730 706 135.67      
34 A" 707 684 7.49      
35 A" 598 578 64.08      
36 A" 435 421 9.93      
37 A" 416 402 0.61      
38 A" 158 153 0.83      
39 A" 71 68 0.91      

Unscaled Zero Point Vibrational Energy (zpe) 25331.0 cm-1
Scaled (by 0.9668) Zero Point Vibrational Energy (zpe) 24490.0 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 B3LYP/6-311G**
ABC
0.12960 0.04089 0.03108

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-311G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.221 0.000
C2 1.278 -0.348 0.000
C3 1.424 -1.730 0.000
C4 0.295 -2.550 0.000
C5 -0.980 -1.986 0.000
C6 -1.131 -0.603 0.000
C7 -0.102 1.705 0.000
O8 0.838 2.464 0.000
O9 -1.384 2.148 0.000
H10 2.138 0.309 0.000
H11 2.415 -2.169 0.000
H12 0.409 -3.628 0.000
H13 -1.856 -2.624 0.000
H14 -2.117 -0.156 0.000
H15 -1.332 3.115 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 O8 O9 H10 H11 H12 H13 H14 H15
C11.39892.41542.78652.41451.39911.48742.39442.37252.14023.39783.87083.39692.14993.1858
C21.39891.38962.41102.78912.42232.47352.84643.64911.08292.14693.39303.87313.39994.3364
C32.41541.38961.39502.41732.79253.75854.23484.78782.16091.08392.15233.39953.87455.5739
C42.78652.41101.39501.39422.41344.27315.04314.98893.40182.15351.08432.15233.39785.8938
C52.41452.78912.41731.39421.39123.79374.80674.15373.87183.39962.15101.08402.15395.1129
C61.39912.42232.79252.41341.39122.52683.64442.76263.39423.87643.39482.14741.08203.7232
C71.48742.47353.75854.27313.79372.52681.20801.35642.63924.61985.35744.67092.74291.8713
O82.39442.84644.23485.04314.80673.64441.20802.24392.51664.89436.10725.75733.94902.2654
O92.37253.64914.78784.98894.15372.76261.35642.24393.97315.75066.04824.79572.41820.9681
H102.14021.08292.16093.40183.87183.39422.63922.51663.97312.49414.30044.95584.28034.4625
H113.39782.14691.08392.15353.39963.87644.61984.89435.75062.49412.48004.29494.95846.4778
H123.87083.39302.15231.08432.15103.39485.35746.10726.04824.30042.48002.47774.29346.9643
H133.39693.87313.39952.15231.08402.14744.67095.75734.79574.95584.29492.47772.48165.7630
H142.14993.39993.87453.39782.15391.08202.74293.94902.41824.28034.95844.29342.48163.3640
H153.18584.33645.57395.89385.11293.72321.87132.26540.96814.46256.47786.96435.76303.3640

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 120.038 C1 C2 H10 118.604
C1 C6 C5 119.834 C1 C6 H14 119.559
C1 C7 O8 125.012 C1 C7 O9 112.999
C2 C1 C6 119.924 C2 C1 C7 117.929
C2 C3 C4 119.957 C2 C3 H11 119.941
C3 C2 H10 121.357 C3 C4 C5 120.149
C3 C4 H12 119.948 C4 C3 H11 120.101
C4 C5 C6 120.098 C4 C5 H13 120.056
C5 C4 H12 119.903 C5 C6 H14 120.607
C6 C1 C7 122.148 C6 C5 H13 119.846
C7 O9 H15 106.020 O8 C7 O9 121.989
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.229      
2 C -0.024      
3 C -0.097      
4 C -0.073      
5 C -0.098      
6 C -0.018      
7 C 0.426      
8 O -0.335      
9 O -0.337      
10 H 0.114      
11 H 0.102      
12 H 0.102      
13 H 0.101      
14 H 0.111      
15 H 0.254      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -1.171 -1.524 0.000 1.922
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -48.785 -5.858 0.000
y -5.858 -45.575 0.000
z 0.000 0.000 -54.146
Traceless
 xyz
x 1.076 -5.858 0.000
y -5.858 5.890 0.000
z 0.000 0.000 -6.966
Polar
3z2-r2-13.932
x2-y2-3.209
xy-5.858
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 13.055 -0.324 0.000
y -0.324 16.265 0.000
z 0.000 0.000 5.139


<r2> (average value of r2) Å2
<r2> 329.437
(<r2>)1/2 18.150