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

using model chemistry: PBEPBE/6-31G(2df,p)

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(2df,p)
 hartrees
Energy at 0K-420.356646
Energy at 298.15K-420.363538
Nuclear repulsion energy403.206216
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(2df,p)
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' 3643 3606 58.35      
2 A' 3149 3117 3.20      
3 A' 3143 3111 6.54      
4 A' 3132 3100 12.61      
5 A' 3122 3090 9.91      
6 A' 3110 3078 0.20      
7 A' 1757 1739 244.28      
8 A' 1600 1584 15.27      
9 A' 1581 1565 3.28      
10 A' 1476 1461 1.63      
11 A' 1435 1420 15.78      
12 A' 1361 1347 1.97      
13 A' 1346 1333 107.70      
14 A' 1288 1274 6.13      
15 A' 1178 1165 78.59      
16 A' 1151 1139 90.77      
17 A' 1148 1136 29.48      
18 A' 1085 1074 49.82      
19 A' 1064 1053 70.77      
20 A' 1022 1011 13.05      
21 A' 986 976 1.59      
22 A' 753 745 9.14      
23 A' 611 605 46.70      
24 A' 606 599 0.03      
25 A' 481 476 5.60      
26 A' 372 368 5.08      
27 A' 207 205 1.37      
28 A" 967 957 0.22      
29 A" 937 927 0.32      
30 A" 920 911 0.74      
31 A" 841 832 0.07      
32 A" 803 794 0.05      
33 A" 710 702 100.19      
34 A" 689 681 6.93      
35 A" 602 596 47.18      
36 A" 421 417 5.79      
37 A" 397 393 0.40      
38 A" 153 151 0.52      
39 A" 69 68 0.88      

Unscaled Zero Point Vibrational Energy (zpe) 24656.6 cm-1
Scaled (by 0.9897) Zero Point Vibrational Energy (zpe) 24402.6 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(2df,p)
ABC
0.12807 0.04063 0.03084

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-31G(2df,p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.224 0.000
C2 1.270 -0.379 0.000
C3 1.384 -1.770 0.000
C4 0.231 -2.566 0.000
C5 -1.036 -1.969 0.000
C6 -1.155 -0.577 0.000
C7 -0.056 1.711 0.000
O8 0.915 2.448 0.000
O9 -1.335 2.190 0.000
H10 2.148 0.270 0.000
H11 2.373 -2.236 0.000
H12 0.320 -3.656 0.000
H13 -1.935 -2.592 0.000
H14 -2.138 -0.103 0.000
H15 -1.229 3.163 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 O8 O9 H10 H11 H12 H13 H14 H15
C11.40552.42672.79922.42541.40571.48822.40532.37692.14883.41753.89263.41622.16323.1855
C21.40551.39522.42102.80102.43312.47512.84963.65861.09252.15973.41143.89413.41934.3343
C32.42671.39521.40142.42862.80563.76684.24394.80362.17821.09302.16553.41913.89715.5816
C42.79922.42101.40141.40072.42444.28645.06065.00743.42342.16711.09352.16583.41795.9116
C52.42542.80102.42861.40071.39733.80824.82914.17033.89303.41942.16441.09312.16765.1354
C61.40572.43312.80562.42441.39732.53803.66572.77323.41053.89873.41412.16041.09153.7403
C71.48822.47513.76684.28643.80822.53801.21951.36532.63374.63445.37984.69482.76101.8660
O82.40532.84964.24395.06064.82913.66571.21952.26432.50324.90586.13295.78983.97862.2594
O92.37693.65864.80365.00744.17032.77321.36532.26433.97735.77396.07594.81982.42980.9780
H102.14881.09252.17823.42343.89303.41052.63372.50323.97732.51604.33064.98614.30294.4464
H113.41752.15971.09302.16713.41943.89874.63444.90585.77392.51602.49584.32214.99016.4896
H123.89263.41142.16551.09352.16443.41415.37986.13296.07594.33062.49582.49334.32086.9921
H133.41623.89413.41912.16581.09312.16044.69485.78984.81984.98614.32212.49332.49755.7977
H142.16323.41933.89713.41792.16761.09152.76103.97862.42984.30294.99014.32082.49753.3897
H153.18554.33435.58165.91165.13543.74031.86602.25940.97804.44646.48966.99215.79773.3897

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 120.104 C1 C2 H10 118.142
C1 C6 C5 119.832 C1 C6 H14 119.522
C1 C7 O8 125.034 C1 C7 O9 112.740
C2 C1 C6 119.881 C2 C1 C7 117.571
C2 C3 C4 119.920 C2 C3 H11 119.956
C3 C2 H10 121.754 C3 C4 C5 120.155
C3 C4 H12 119.942 C4 C3 H11 120.124
C4 C5 C6 120.108 C4 C5 H13 120.055
C5 C4 H12 119.903 C5 C6 H14 120.646
C6 C1 C7 122.548 C6 C5 H13 119.838
C7 O9 H15 104.340 O8 C7 O9 122.226
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.165      
2 C -0.169      
3 C -0.108      
4 C -0.113      
5 C -0.102      
6 C -0.201      
7 C 0.340      
8 O -0.330      
9 O -0.360      
10 H 0.130      
11 H 0.110      
12 H 0.110      
13 H 0.109      
14 H 0.125      
15 H 0.294      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -1.186 -1.372 0.000 1.814
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -48.130 -5.443 0.000
y -5.443 -44.394 0.000
z 0.000 0.000 -52.679
Traceless
 xyz
x 0.406 -5.443 0.000
y -5.443 6.011 0.000
z 0.000 0.000 -6.417
Polar
3z2-r2-12.834
x2-y2-3.737
xy-5.443
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 13.172 -0.354 0.000
y -0.354 16.940 0.000
z 0.000 0.000 5.147


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