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

using model chemistry: PBEPBE/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 PBEPBE/3-21G
 hartrees
Energy at 0K-418.006117
Energy at 298.15K-418.013157
Nuclear repulsion energy401.298918
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/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' 3367 3337 19.33      
2 A' 3171 3142 1.58      
3 A' 3154 3125 9.19      
4 A' 3144 3115 7.75      
5 A' 3134 3105 8.38      
6 A' 3122 3094 0.28      
7 A' 1704 1688 162.99      
8 A' 1590 1575 12.50      
9 A' 1570 1555 4.78      
10 A' 1493 1479 2.09      
11 A' 1460 1447 14.75      
12 A' 1359 1347 68.45      
13 A' 1334 1322 4.09      
14 A' 1331 1318 10.02      
15 A' 1203 1192 4.95      
16 A' 1196 1185 0.65      
17 A' 1160 1150 120.94      
18 A' 1089 1080 7.66      
19 A' 1037 1028 69.56      
20 A' 1026 1017 147.85      
21 A' 1008 999 15.37      
22 A' 756 749 1.92      
23 A' 636 630 0.27      
24 A' 610 604 44.15      
25 A' 485 480 6.45      
26 A' 380 377 8.22      
27 A' 209 207 1.10      
28 A" 1000 991 0.30      
29 A" 978 969 0.26      
30 A" 938 930 2.90      
31 A" 848 841 0.03      
32 A" 808 801 1.22      
33 A" 711 704 13.34      
34 A" 706 700 144.29      
35 A" 594 588 80.93      
36 A" 425 421 11.01      
37 A" 413 409 4.03      
38 A" 159 158 2.02      
39 A" 95 95 0.43      

Unscaled Zero Point Vibrational Energy (zpe) 24699.4 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 24474.6 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/3-21G
ABC
0.12556 0.04064 0.03070

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.222 0.000
C2 1.277 -0.370 0.000
C3 1.399 -1.764 0.000
C4 0.244 -2.567 0.000
C5 -1.032 -1.974 0.000
C6 -1.159 -0.577 0.000
C7 -0.053 1.704 0.000
O8 0.925 2.466 0.000
O9 -1.369 2.168 0.000
H10 2.147 0.290 0.000
H11 2.389 -2.228 0.000
H12 0.338 -3.656 0.000
H13 -1.925 -2.603 0.000
H14 -2.136 -0.094 0.000
H15 -1.316 3.175 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 O8 O9 H10 H11 H12 H13 H14 H15
C11.40712.42952.80002.42621.40761.48262.42762.37952.14853.42143.89323.41902.15983.2330
C21.40711.39962.42802.81092.44392.46342.85793.66631.09262.16513.41803.90373.42414.3918
C32.42951.39961.40712.44012.81963.75974.25694.80912.18611.09262.16973.42863.91015.6363
C42.80002.42801.40711.40712.43444.28135.07965.00273.43332.17161.09322.16923.43245.9505
C52.42622.81092.44011.40711.40213.80534.85244.15573.90283.42992.16961.09282.18005.1567
C61.40762.44392.81962.43441.40212.53463.68872.75373.41783.91223.42342.16621.09073.7558
C71.48262.46343.75974.28133.80532.53461.24091.39532.61584.62805.37434.69622.75171.9388
O82.42762.85794.25695.07964.85243.68871.24092.31382.49614.91676.15095.81623.99152.3507
O92.37953.66634.80915.00274.15572.75371.39532.31383.98685.78316.06964.80392.38921.0083
H102.14851.09262.18613.43333.90283.41782.61582.49613.98682.52904.34154.99574.30114.5077
H113.42142.16511.09262.17163.42993.91224.62804.91675.78312.52902.49964.33015.00276.5508
H123.89323.41802.16971.09322.16963.42345.37436.15096.06964.34152.49962.49584.33717.0289
H133.41903.90373.42862.16921.09282.16624.69625.81624.80394.99574.33012.49582.51805.8106
H142.15983.42413.91013.43242.18001.09072.75173.99152.38924.30115.00274.33712.51803.3709
H153.23304.39185.63635.95055.15673.75581.93882.35071.00834.50776.55087.02895.81063.3709

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 119.903 C1 C2 H10 117.977
C1 C6 C5 119.425 C1 C6 H14 119.109
C1 C7 O8 125.860 C1 C7 O9 111.515
C2 C1 C6 120.517 C2 C1 C7 116.942
C2 C3 C4 119.780 C2 C3 H11 120.123
C3 C2 H10 122.120 C3 C4 C5 120.242
C3 C4 H12 119.879 C4 C3 H11 120.097
C4 C5 C6 120.132 C4 C5 H13 119.866
C5 C4 H12 119.878 C5 C6 H14 121.466
C6 C1 C7 122.541 C6 C5 H13 120.002
C7 O9 H15 106.420 O8 C7 O9 122.625
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.092      
2 C -0.170      
3 C -0.197      
4 C -0.188      
5 C -0.194      
6 C -0.187      
7 C 0.584      
8 O -0.458      
9 O -0.520      
10 H 0.222      
11 H 0.206      
12 H 0.206      
13 H 0.205      
14 H 0.222      
15 H 0.362      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -1.128 -1.048 0.000 1.540
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -47.975 -5.777 0.000
y -5.777 -42.844 0.000
z 0.000 0.000 -54.658
Traceless
 xyz
x 0.776 -5.777 0.000
y -5.777 8.473 0.000
z 0.000 0.000 -9.249
Polar
3z2-r2-18.497
x2-y2-5.132
xy-5.777
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 12.141 -0.397 0.000
y -0.397 15.634 0.000
z 0.000 0.000 3.008


<r2> (average value of r2) Å2
<r2> 332.588
(<r2>)1/2 18.237