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

using model chemistry: M06-2X/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 M06-2X/3-21G*
 hartrees
Energy at 0K-418.321162
Energy at 298.15K-418.328533
HF Energy-418.321162
Nuclear repulsion energy404.644344
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 M06-2X/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' 3583 3394 65.11      
2 A' 3254 3082 5.39      
3 A' 3224 3054 3.93      
4 A' 3220 3050 0.16      
5 A' 3187 3019 2.00      
6 A' 3184 3016 1.29      
7 A' 1818 1722 222.98      
8 A' 1675 1587 14.42      
9 A' 1652 1565 5.09      
10 A' 1557 1475 1.97      
11 A' 1522 1442 19.62      
12 A' 1427 1351 129.17      
13 A' 1382 1309 6.29      
14 A' 1332 1261 3.68      
15 A' 1245 1180 9.32      
16 A' 1231 1166 1.41      
17 A' 1210 1146 137.33      
18 A' 1139 1078 43.73      
19 A' 1105 1047 161.28      
20 A' 1070 1013 22.02      
21 A' 1049 994 0.94      
22 A' 793 751 7.45      
23 A' 660 625 0.08      
24 A' 650 615 54.82      
25 A' 510 484 5.89      
26 A' 398 377 8.38      
27 A' 224 212 1.21      
28 A" 1088 1031 0.03      
29 A" 1058 1002 0.48      
30 A" 1013 960 1.16      
31 A" 906 858 0.02      
32 A" 861 816 0.91      
33 A" 749 710 193.07      
34 A" 744 704 4.33      
35 A" 624 591 102.86      
36 A" 451 427 11.88      
37 A" 435 412 2.87      
38 A" 172 163 1.29      
39 A" 98 93 0.59      

Unscaled Zero Point Vibrational Energy (zpe) 25748.6 cm-1
Scaled (by 0.9472) Zero Point Vibrational Energy (zpe) 24389.1 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 M06-2X/3-21G*
ABC
0.12786 0.04125 0.03119

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/3-21G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.218 0.000
C2 1.291 -0.312 0.000
C3 1.468 -1.693 0.000
C4 0.352 -2.535 0.000
C5 -0.938 -1.998 0.000
C6 -1.118 -0.617 0.000
C7 -0.132 1.690 0.000
O8 0.794 2.489 0.000
O9 -1.448 2.085 0.000
H10 2.130 0.373 0.000
H11 2.466 -2.112 0.000
H12 0.489 -3.610 0.000
H13 -1.798 -2.656 0.000
H14 -2.105 -0.174 0.000
H15 -1.492 3.076 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 O8 O9 H10 H11 H12 H13 H14 H15
C11.39532.40922.77512.40611.39531.47832.40652.36272.13593.39253.85853.38982.14143.2246
C21.39531.39202.41292.79452.42842.45622.84493.63931.08342.14973.39403.87753.39894.3847
C32.40921.39201.39792.42502.80133.74204.23584.77192.16911.08272.15293.40513.88265.6129
C42.77512.41291.39791.39722.41734.25275.04364.95823.40832.15571.08342.15383.40795.9066
C52.40612.79452.42501.39721.39353.77534.81014.11493.87743.40572.15191.08302.16595.1047
C61.39532.42842.80132.41731.39352.50873.64762.72143.39603.88403.39722.14971.08163.7116
C71.47832.45623.74204.25273.77532.50871.22351.37372.61794.60505.33604.65442.71451.9420
O82.40652.84494.23585.04364.81013.64761.22352.27832.50284.89566.10675.76143.93712.3607
O92.36273.63934.77194.95824.11492.72141.37372.27833.96655.73876.01484.75382.35270.9923
H102.13591.08342.16913.40833.87743.39602.61792.50283.96652.50744.30784.96044.27074.5200
H113.39252.14971.08272.15573.40573.88404.60504.89565.73872.50742.48094.29874.96536.5258
H123.85853.39402.15291.08342.15193.39725.33606.10676.01484.30782.48092.47734.30486.9731
H133.38983.87753.40512.15381.08302.14974.65445.76144.75384.96044.29872.47732.50095.7403
H142.14143.39893.88263.40792.16591.08162.71453.93712.35274.27074.96534.30482.50093.3075
H153.22464.38475.61295.90665.10473.71161.94202.36070.99234.52006.52586.97315.74033.3075

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 119.623 C1 C2 H10 118.481
C1 C6 C5 119.266 C1 C6 H14 119.130
C1 C7 O8 125.661 C1 C7 O9 111.828
C2 C1 C6 120.969 C2 C1 C7 117.436
C2 C3 C4 119.742 C2 C3 H11 120.099
C3 C2 H10 121.896 C3 C4 C5 120.356
C3 C4 H12 119.842 C4 C3 H11 120.159
C4 C5 C6 120.043 C4 C5 H13 120.011
C5 C4 H12 119.802 C5 C6 H14 121.604
C6 C1 C7 121.595 C6 C5 H13 119.946
C7 O9 H15 109.272 O8 C7 O9 122.512
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.156      
2 C -0.170      
3 C -0.207      
4 C -0.201      
5 C -0.206      
6 C -0.182      
7 C 0.695      
8 O -0.500      
9 O -0.602      
10 H 0.241      
11 H 0.219      
12 H 0.219      
13 H 0.218      
14 H 0.242      
15 H 0.389      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -1.118 -1.222 0.000 1.656
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -47.891 -6.372 0.000
y -6.372 -43.990 0.000
z 0.000 0.000 -54.939
Traceless
 xyz
x 1.573 -6.372 0.000
y -6.372 7.425 0.000
z 0.000 0.000 -8.998
Polar
3z2-r2-17.996
x2-y2-3.901
xy-6.372
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.571 -0.288 0.000
y -0.288 14.185 0.000
z 0.000 0.000 2.873


<r2> (average value of r2) Å2
<r2> 328.204
(<r2>)1/2 18.116