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

using model chemistry: B3PW91/cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B3PW91/cc-pVDZ
 hartrees
Energy at 0K-420.696326
Energy at 298.15K-420.703465
Nuclear repulsion energy404.673712
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 B3PW91/cc-pVDZ
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' 3748 3617 95.73      
2 A' 3232 3119 2.26      
3 A' 3226 3113 4.51      
4 A' 3213 3100 11.81      
5 A' 3202 3090 10.06      
6 A' 3190 3078 0.24      
7 A' 1830 1766 306.35      
8 A' 1669 1610 17.70      
9 A' 1648 1591 4.52      
10 A' 1524 1471 5.49      
11 A' 1480 1428 19.49      
12 A' 1397 1348 125.10      
13 A' 1391 1342 25.94      
14 A' 1320 1274 5.68      
15 A' 1216 1173 166.02      
16 A' 1181 1139 73.10      
17 A' 1172 1131 0.68      
18 A' 1130 1090 54.55      
19 A' 1095 1057 31.83      
20 A' 1050 1013 10.70      
21 A' 1015 980 1.15      
22 A' 779 752 12.36      
23 A' 636 614 51.85      
24 A' 624 602 0.04      
25 A' 498 480 5.34      
26 A' 383 370 5.41      
27 A' 212 204 1.44      
28 A" 1020 984 0.01      
29 A" 1002 967 0.07      
30 A" 965 932 0.61      
31 A" 868 838 0.05      
32 A" 832 803 0.53      
33 A" 732 707 113.20      
34 A" 708 684 8.32      
35 A" 608 586 58.66      
36 A" 436 420 8.68      
37 A" 414 399 0.43      
38 A" 158 153 0.79      
39 A" 76 73 1.03      

Unscaled Zero Point Vibrational Energy (zpe) 25438.5 cm-1
Scaled (by 0.965) Zero Point Vibrational Energy (zpe) 24548.2 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 B3PW91/cc-pVDZ
ABC
0.12925 0.04087 0.03105

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/cc-pVDZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.222 0.000
C2 1.271 -0.366 0.000
C3 1.397 -1.752 0.000
C4 0.253 -2.556 0.000
C5 -1.015 -1.972 0.000
C6 -1.145 -0.584 0.000
C7 -0.076 1.707 0.000
O8 0.883 2.448 0.000
O9 -1.344 2.172 0.000
H10 2.145 0.286 0.000
H11 2.388 -2.210 0.000
H12 0.352 -3.644 0.000
H13 -1.907 -2.602 0.000
H14 -2.131 -0.119 0.000
H15 -1.260 3.141 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 O8 O9 H10 H11 H12 H13 H14 H15
C11.40062.41882.79022.41781.40101.48592.39432.36802.14623.40903.88283.40812.15873.1787
C21.40061.39192.41472.79352.42602.47182.84093.64441.09122.15613.40443.88573.41134.3248
C32.41881.39191.39732.42162.79753.75934.23194.78682.17211.09212.16113.41123.88785.5679
C42.79022.41471.39731.39662.41764.27545.04374.99073.41462.16251.09262.16123.40985.8946
C52.41782.79352.42161.39661.39373.79644.81024.15683.88433.41152.16001.09222.16315.1186
C61.40102.42602.79752.41761.39372.52823.64812.76333.40393.88963.40672.15671.09033.7269
C71.48592.47183.75934.27543.79642.52821.21201.35132.63634.62735.36794.68152.74931.8599
O82.39432.84094.23195.04374.81023.64811.21202.24432.50334.89566.11555.76953.95942.2519
O92.36803.64444.78684.99074.15682.76331.35132.24433.96655.75636.05854.80682.42240.9727
H102.14621.09122.17213.41463.88433.40392.63632.50333.96652.50854.32054.97654.29604.4433
H113.40902.15611.09212.16253.41153.88964.62734.89565.75632.50852.49044.31314.97996.4763
H123.88283.40442.16111.09262.16003.40675.36796.11556.05854.32052.49042.48804.31216.9739
H133.40813.88573.41122.16121.09222.15674.68155.76954.80684.97654.31312.48802.49295.7791
H142.15873.41133.88783.40982.16311.09032.74933.95942.42244.29604.97994.31212.49293.3745
H153.17874.32485.56795.89465.11863.72691.85992.25190.97274.44336.47636.97395.77913.3745

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 120.036 C1 C2 H10 118.408
C1 C6 C5 119.798 C1 C6 H14 119.588
C1 C7 O8 124.803 C1 C7 O9 113.068
C2 C1 C6 119.984 C2 C1 C7 117.780
C2 C3 C4 119.930 C2 C3 H11 119.966
C3 C2 H10 121.556 C3 C4 C5 120.158
C3 C4 H12 119.941 C4 C3 H11 120.104
C4 C5 C6 120.094 C4 C5 H13 120.037
C5 C4 H12 119.902 C5 C6 H14 120.615
C6 C1 C7 122.236 C6 C5 H13 119.869
C7 O9 H15 105.155 O8 C7 O9 122.130
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.113      
2 C 0.044      
3 C 0.008      
4 C 0.011      
5 C 0.006      
6 C 0.029      
7 C 0.231      
8 O -0.251      
9 O -0.178      
10 H 0.013      
11 H 0.012      
12 H 0.010      
13 H 0.011      
14 H 0.009      
15 H 0.159      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -1.230 -1.351 0.000 1.827
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -48.163 -5.722 0.000
y -5.722 -44.443 0.000
z 0.000 0.000 -53.505
Traceless
 xyz
x 0.811 -5.722 0.000
y -5.722 6.391 0.000
z 0.000 0.000 -7.202
Polar
3z2-r2-14.404
x2-y2-3.720
xy-5.722
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 12.942 -0.268 0.000
y -0.268 16.092 0.000
z 0.000 0.000 4.581


<r2> (average value of r2) Å2
<r2> 0.000
(<r2>)1/2 0.000