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

using model chemistry: mPW1PW91/3-21G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at mPW1PW91/3-21G*
 hartrees
Energy at 0K-418.398829
Energy at 298.15K-418.406125
Nuclear repulsion energy404.995684
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 mPW1PW91/3-21G*
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' 3582 3402 51.81      
2 A' 3271 3106 1.20      
3 A' 3254 3090 6.53      
4 A' 3243 3080 6.13      
5 A' 3234 3071 7.70      
6 A' 3222 3059 0.35      
7 A' 1795 1704 208.11      
8 A' 1662 1578 14.40      
9 A' 1641 1558 5.31      
10 A' 1553 1475 2.43      
11 A' 1517 1440 18.92      
12 A' 1420 1349 111.56      
13 A' 1384 1314 7.33      
14 A' 1362 1294 3.71      
15 A' 1245 1182 6.25      
16 A' 1236 1174 0.71      
17 A' 1207 1146 133.18      
18 A' 1132 1075 24.01      
19 A' 1092 1037 188.46      
20 A' 1069 1015 28.88      
21 A' 1046 993 4.45      
22 A' 789 749 4.39      
23 A' 659 626 0.23      
24 A' 641 609 52.70      
25 A' 506 481 6.13      
26 A' 395 375 8.69      
27 A' 216 205 1.18      
28 A" 1063 1009 0.20      
29 A" 1039 987 0.12      
30 A" 996 946 2.92      
31 A" 896 850 0.02      
32 A" 852 809 0.24      
33 A" 744 706 164.92      
34 A" 739 702 16.66      
35 A" 602 572 102.51      
36 A" 444 422 14.69      
37 A" 432 411 3.36      
38 A" 166 158 1.97      
39 A" 98 93 0.57      

Unscaled Zero Point Vibrational Energy (zpe) 25720.9 cm-1
Scaled (by 0.9496) Zero Point Vibrational Energy (zpe) 24424.5 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 mPW1PW91/3-21G*
ABC
0.12815 0.04131 0.03124

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/3-21G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.220 0.000
C2 1.280 -0.335 0.000
C3 1.435 -1.715 0.000
C4 0.308 -2.539 0.000
C5 -0.971 -1.981 0.000
C6 -1.129 -0.599 0.000
C7 -0.102 1.689 0.000
O8 0.842 2.472 0.000
O9 -1.409 2.112 0.000
H10 2.131 0.335 0.000
H11 2.426 -2.151 0.000
H12 0.426 -3.616 0.000
H13 -1.842 -2.625 0.000
H14 -2.110 -0.144 0.000
H15 -1.418 3.102 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 O8 O9 H10 H11 H12 H13 H14 H15
C11.39512.40872.77562.40571.39491.47252.40422.35882.13383.39203.85913.38912.14103.2126
C21.39511.38912.40902.78932.42382.45042.84053.63521.08282.14753.39033.87233.39534.3697
C32.40871.38911.39572.42052.79603.73464.22874.76752.16571.08292.15133.40063.87685.5988
C42.77562.40901.39571.39532.41374.24735.03894.95713.40362.15321.08352.15163.40265.8993
C52.40572.78932.42051.39531.39083.77154.80794.11623.87163.40132.15061.08302.16105.1033
C61.39492.42382.79602.41371.39082.50813.64912.72553.39123.87893.39392.14751.08103.7131
C71.47252.45043.73464.24733.77152.50811.22621.37352.61064.59725.33074.65162.71881.9315
O82.40422.84054.22875.03894.80793.64911.22622.27902.49494.88676.10165.76023.94412.3461
O92.35883.63524.76754.95714.11622.72551.37352.27903.95995.73376.01424.75662.36260.9908
H102.13381.08282.16573.40363.87163.39122.61062.49493.95992.50414.30314.95464.26754.4998
H113.39202.14751.08292.15323.40133.87894.59724.88675.73372.50412.47844.29414.95976.5096
H123.85913.39032.15131.08352.15063.39395.33076.10166.01424.30312.47842.47544.29916.9668
H133.38913.87233.40062.15161.08302.14754.65165.76024.75664.95464.29412.47542.49515.7432
H142.14103.39533.87683.40262.16101.08102.71883.94412.36264.26754.95974.29912.49513.3198
H153.21264.36975.59885.89935.10333.71311.93152.34610.99084.49986.50966.96685.74323.3198

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 119.798 C1 C2 H10 118.341
C1 C6 C5 119.440 C1 C6 H14 119.155
C1 C7 O8 125.717 C1 C7 O9 111.905
C2 C1 C6 120.626 C2 C1 C7 117.384
C2 C3 C4 119.782 C2 C3 H11 120.118
C3 C2 H10 121.861 C3 C4 C5 120.284
C3 C4 H12 119.873 C4 C3 H11 120.100
C4 C5 C6 120.071 C4 C5 H13 119.968
C5 C4 H12 119.843 C5 C6 H14 121.405
C6 C1 C7 121.990 C6 C5 H13 119.961
C7 O9 H15 108.478 O8 C7 O9 122.378
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.141      
2 C -0.185      
3 C -0.222      
4 C -0.211      
5 C -0.219      
6 C -0.199      
7 C 0.691      
8 O -0.507      
9 O -0.590      
10 H 0.253      
11 H 0.231      
12 H 0.231      
13 H 0.230      
14 H 0.252      
15 H 0.387      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -1.159 -1.216 0.000 1.680
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.684 -0.316 0.000
y -0.316 14.610 0.000
z 0.000 0.000 2.920


<r2> (average value of r2) Å2
<r2> 327.388
(<r2>)1/2 18.094