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/6-31G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at PBEPBE/6-31G**
 hartrees
Energy at 0K-420.336777
Energy at 298.15K-420.343651
Nuclear repulsion energy402.415255
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/6-31G**
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' 3646 3596 56.31      
2 A' 3157 3113 3.61      
3 A' 3151 3108 6.94      
4 A' 3140 3097 14.49      
5 A' 3130 3087 10.97      
6 A' 3119 3076 0.23      
7 A' 1762 1738 250.16      
8 A' 1615 1593 16.15      
9 A' 1595 1573 3.99      
10 A' 1488 1467 2.16      
11 A' 1447 1427 15.18      
12 A' 1374 1355 3.02      
13 A' 1351 1333 119.45      
14 A' 1297 1280 5.56      
15 A' 1181 1165 75.92      
16 A' 1156 1141 64.43      
17 A' 1154 1138 71.70      
18 A' 1092 1077 49.05      
19 A' 1070 1055 71.38      
20 A' 1026 1012 13.46      
21 A' 989 975 1.68      
22 A' 756 745 8.88      
23 A' 613 605 47.34      
24 A' 610 602 1.63      
25 A' 482 476 6.02      
26 A' 373 368 5.53      
27 A' 208 205 1.33      
28 A" 970 956 0.09      
29 A" 948 935 0.15      
30 A" 918 905 1.39      
31 A" 836 824 0.08      
32 A" 787 776 0.31      
33 A" 704 694 118.29      
34 A" 683 674 8.13      
35 A" 602 594 50.13      
36 A" 419 413 6.43      
37 A" 398 393 0.46      
38 A" 153 151 0.61      
39 A" 68 67 0.85      

Unscaled Zero Point Vibrational Energy (zpe) 24733.4 cm-1
Scaled (by 0.9863) Zero Point Vibrational Energy (zpe) 24394.5 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/6-31G**
ABC
0.12752 0.04049 0.03073

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.224 0.000
C2 1.273 -0.378 0.000
C3 1.388 -1.771 0.000
C4 0.234 -2.570 0.000
C5 -1.036 -1.974 0.000
C6 -1.157 -0.579 0.000
C7 -0.060 1.712 0.000
O8 0.915 2.454 0.000
O9 -1.340 2.193 0.000
H10 2.152 0.271 0.000
H11 2.378 -2.237 0.000
H12 0.325 -3.661 0.000
H13 -1.934 -2.598 0.000
H14 -2.142 -0.105 0.000
H15 -1.232 3.168 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 O8 O9 H10 H11 H12 H13 H14 H15
C11.40802.43052.80362.42931.40851.48932.41132.38232.15293.42203.89793.42102.16663.1916
C21.40801.39782.42572.80662.43862.47882.85513.66611.09332.16263.41683.90063.42544.3415
C32.43051.39781.40392.43312.81113.77224.25214.81282.18061.09392.16843.42423.90355.5911
C42.80362.42571.40391.40342.42914.29205.07065.01693.42842.16991.09432.16863.42365.9225
C52.42932.80662.43311.40341.39973.81244.83904.17803.89953.42462.16751.09392.17115.1453
C61.40852.43862.81112.42911.39972.54013.67402.77843.41723.90503.41942.16331.09253.7479
C71.48932.47883.77224.29203.81242.54011.22591.36772.64014.64085.38624.69972.76281.8690
O82.41132.85514.25215.07064.83903.67401.22592.27052.50934.91426.14365.80073.98682.2624
O92.38233.66614.81285.01694.17802.77841.36772.27053.98655.78396.08614.82802.43400.9808
H102.15291.09332.18063.42843.89953.41722.64012.50933.98652.51834.33604.99344.31044.4545
H113.42202.16261.09392.16993.42463.90504.64084.91425.78392.51832.49894.32784.99746.4996
H123.89793.41682.16841.09432.16753.41945.38626.14366.08614.33602.49892.49654.32737.0038
H133.42103.90063.42422.16861.09392.16334.69975.80074.82804.99344.32782.49652.50165.8087
H142.16663.42543.90353.42362.17111.09252.76283.98682.43404.31044.99744.32732.50163.3972
H153.19164.34155.59115.92255.14533.74791.86902.26240.98084.45456.49967.00385.80873.3972

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 120.046 C1 C2 H10 118.253
C1 C6 C5 119.779 C1 C6 H14 119.531
C1 C7 O8 124.977 C1 C7 O9 112.928
C2 C1 C6 119.950 C2 C1 C7 117.615
C2 C3 C4 119.946 C2 C3 H11 119.939
C3 C2 H10 121.701 C3 C4 C5 120.153
C3 C4 H12 119.939 C4 C3 H11 120.115
C4 C5 C6 120.126 C4 C5 H13 120.036
C5 C4 H12 119.908 C5 C6 H14 120.690
C6 C1 C7 122.434 C6 C5 H13 119.838
C7 O9 H15 104.262 O8 C7 O9 122.096
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.039      
2 C -0.102      
3 C -0.107      
4 C -0.085      
5 C -0.106      
6 C -0.106      
7 C 0.494      
8 O -0.446      
9 O -0.467      
10 H 0.127      
11 H 0.107      
12 H 0.106      
13 H 0.106      
14 H 0.123      
15 H 0.318      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -1.187 -1.376 0.000 1.817
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -48.098 -5.554 0.000
y -5.554 -44.110 0.000
z 0.000 0.000 -53.082
Traceless
 xyz
x 0.498 -5.554 0.000
y -5.554 6.480 0.000
z 0.000 0.000 -6.978
Polar
3z2-r2-13.955
x2-y2-3.988
xy-5.554
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 12.941 -0.315 0.000
y -0.315 16.598 0.000
z 0.000 0.000 4.229


<r2> (average value of r2) Å2
<r2> 332.210
(<r2>)1/2 18.227