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All results from a given calculation for C4H8O2 (Butanoic acid)

using model chemistry: PBEPBE/6-31G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at PBEPBE/6-31G
 hartrees
Energy at 0K-307.248927
Energy at 298.15K-307.258178
HF Energy-307.248927
Nuclear repulsion energy235.436600
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
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 3470 3422 12.33      
2 A 3076 3033 42.29      
3 A 3068 3026 32.06      
4 A 3060 3017 17.13      
5 A 3033 2991 0.03      
6 A 2994 2953 30.46      
7 A 2982 2941 1.31      
8 A 2978 2937 26.90      
9 A 1703 1679 225.67      
10 A 1508 1487 9.33      
11 A 1499 1478 9.47      
12 A 1496 1476 2.43      
13 A 1471 1450 4.94      
14 A 1413 1393 3.86      
15 A 1356 1337 3.62      
16 A 1336 1318 45.08      
17 A 1306 1288 4.99      
18 A 1288 1270 2.86      
19 A 1244 1227 1.31      
20 A 1158 1142 81.59      
21 A 1106 1090 9.34      
22 A 1060 1045 74.21      
23 A 1036 1022 78.74      
24 A 914 901 4.16      
25 A 884 872 4.47      
26 A 839 828 21.76      
27 A 755 745 7.21      
28 A 690 680 75.20      
29 A 612 603 80.33      
30 A 551 543 42.00      
31 A 420 414 3.91      
32 A 331 326 1.39      
33 A 238 235 0.05      
34 A 188 185 0.07      
35 A 90 89 0.15      
36 A 32 32 0.07      

Unscaled Zero Point Vibrational Energy (zpe) 25590.5 cm-1
Scaled (by 0.9862) Zero Point Vibrational Energy (zpe) 25237.4 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
ABC
0.26835 0.06083 0.05349

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-31G

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 1.191 -0.157 0.069
C2 -0.233 -0.460 0.459
C3 -1.283 0.275 -0.411
C4 -2.720 -0.066 0.016
O5 1.456 1.214 0.135
O6 2.061 -0.977 -0.277
H7 -0.365 -1.552 0.393
H8 -0.375 -0.164 1.516
H9 -1.132 -0.001 -1.472
H10 -1.107 1.363 -0.337
H11 -3.456 0.463 -0.614
H12 -2.918 -1.149 -0.072
H13 -2.903 0.226 1.066
H14 2.400 1.363 -0.136

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12 H13 H14
C11.50762.55703.91261.39771.24412.11522.13252.79192.78454.73804.22954.23101.9531
C21.50761.54932.55662.39982.46401.10221.10722.17902.17253.52012.82212.82253.2577
C32.55701.54931.53742.94623.57292.19742.17571.10651.10442.19082.19482.19293.8503
C43.91262.55661.53744.36894.87572.81032.78592.17752.18351.10341.10491.10505.3178
O51.39772.39982.94624.36892.30963.32172.67503.27922.60965.02524.97544.56490.9938
O61.24412.46403.57294.87572.30962.58183.13213.54583.93805.71184.98615.28102.3686
H72.11521.10222.19742.81033.32172.58181.78632.54433.09523.82482.62593.17114.0530
H82.13251.10722.17572.78592.67503.13211.78633.08722.51023.79803.15592.59733.5722
H92.79192.17901.10652.17753.27923.54582.54433.08721.77422.52122.54413.10344.0149
H102.78452.17251.10442.18352.60963.93803.09522.51021.77422.53143.10822.54703.5123
H114.73803.52012.19081.10345.02525.71183.82483.79802.52122.53141.78381.78415.9444
H124.22952.82212.19481.10494.97544.98612.62593.15592.54413.10821.78381.78465.8820
H134.23102.82252.19291.10504.56495.28103.17112.59733.10342.54701.78411.78465.5550
H141.95313.25773.85035.31780.99382.36864.05303.57224.01493.51235.94445.88205.5550

picture of Butanoic acid state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 113.535 C1 C2 H7 107.269
C1 C2 H8 108.313 C1 O5 H14 108.328
C2 C1 O5 111.329 C2 C1 O6 126.866
C2 C3 C4 111.842 C2 C3 H9 109.130
C2 C3 H10 108.744 C3 C2 H7 110.815
C3 C2 H8 108.833 C3 C4 H11 111.046
C3 C4 H12 111.274 C3 C4 H13 111.119
C4 C3 H9 109.821 C4 C3 H10 110.416
O5 C1 O6 121.805 H7 C2 H8 107.902
H9 C3 H10 106.743 H11 C4 H12 107.753
H11 C4 H13 107.773 H12 C4 H13 107.710
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.415      
2 C -0.317      
3 C -0.283      
4 C -0.456      
5 O -0.515      
6 O -0.382      
7 H 0.179      
8 H 0.184      
9 H 0.158      
10 H 0.177      
11 H 0.156      
12 H 0.154      
13 H 0.153      
14 H 0.376      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -1.215 1.232 0.297 1.756
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -36.113 6.035 0.422
y 6.035 -38.924 -1.587
z 0.422 -1.587 -36.176
Traceless
 xyz
x 1.437 6.035 0.422
y 6.035 -2.780 -1.587
z 0.422 -1.587 1.343
Polar
3z2-r22.685
x2-y22.811
xy6.035
xz0.422
yz-1.587


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.815 -0.076 -0.384
y -0.076 7.281 0.136
z -0.384 0.136 5.662


<r2> (average value of r2) Å2
<r2> 213.009
(<r2>)1/2 14.595