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All results from a given calculation for CH3CH2CH2CH3 (Butane)

using model chemistry: mPW1PW91/STO-3G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes Anti 1Ag
1 2 no Gauche 1A

Conformer 1 (Anti)

Jump to S1C2
Energy calculated at mPW1PW91/STO-3G
 hartrees
Energy at 0K-156.564747
Energy at 298.15K-156.575195
HF Energy-156.564747
Nuclear repulsion energy129.532971
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 mPW1PW91/STO-3G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
Au 122 107 0.00      
Au 213 187 0.00      
Bg 249 219 0.00      
Bu 270 238 0.31      
Ag 443 389 0.00      
Au 795 698 8.73      
Bg 890 783 0.00      
Ag 935 822 0.00      
Au 1062 933 2.13      
Bu 1080 949 8.81      
Bu 1138 1000 1.09      
Ag 1179 1036 0.00      
Ag 1281 1126 0.00      
Bg 1335 1173 0.00      
Au 1416 1244 0.14      
Bg 1453 1277 0.00      
Bu 1458 1281 7.72      
Ag 1563 1374 0.00      
Bu 1593 1400 0.89      
Ag 1596 1403 0.00      
Ag 1682 1478 0.00      
Bu 1694 1489 0.88      
Au 1702 1496 7.71      
Bg 1703 1496 0.00      
Ag 1712 1504 0.00      
Bu 1715 1507 4.76      
Ag 3357 2950 0.00      
Bu 3357 2951 5.08      
Ag 3383 2973 0.00      
Bu 3391 2981 8.66      
Bg 3486 3064 0.00      
Au 3501 3077 3.64      
Ag 3531 3104 0.00      
Bu 3531 3104 3.39      
Bg 3532 3104 0.00      
Au 3533 3105 6.09      

Unscaled Zero Point Vibrational Energy (zpe) 32440.0 cm-1
Scaled (by 0.8789) Zero Point Vibrational Energy (zpe) 28511.5 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 mPW1PW91/STO-3G
ABC
0.76587 0.11920 0.11183

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/STO-3G

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.431 0.644 0.000
C2 0.431 -0.644 0.000
C3 0.431 1.927 0.000
C4 -0.431 -1.927 0.000
H5 -1.085 0.643 0.886
H6 -1.085 0.643 -0.886
H7 1.085 -0.643 0.886
H8 1.085 -0.643 -0.886
H9 -0.206 2.822 0.000
H10 1.074 1.963 0.889
H11 1.074 1.963 -0.889
H12 0.206 -2.822 0.000
H13 -1.074 -1.963 0.889
H14 -1.074 -1.963 -0.889

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12 H13 H14
C11.55011.54512.57191.10091.10092.17642.17642.18882.18892.18893.52412.82902.8290
C21.55012.57191.54512.17642.17641.10091.10093.52412.82902.82902.18882.18892.1889
C31.54512.57193.94982.17482.17482.79612.79611.09771.09761.09764.75444.26484.2648
C42.57191.54513.94982.79612.79612.17482.17484.75444.26484.26481.09771.09761.0976
H51.10092.17642.17482.79611.77102.52163.08132.51072.53013.09023.80162.60603.1527
H61.10092.17642.17482.79611.77103.08132.52162.51073.09022.53013.80163.15272.6060
H72.17641.10092.79612.17482.52163.08131.77103.80162.60603.15272.51072.53013.0902
H82.17641.10092.79612.17483.08132.52161.77103.80163.15272.60602.51073.09022.5301
H92.18883.52411.09774.75442.51072.51073.80163.80161.77891.77895.65844.94354.9435
H102.18892.82901.09764.26482.53013.09022.60603.15271.77891.77764.94354.47514.8152
H112.18892.82901.09764.26483.09022.53013.15272.60601.77891.77764.94354.81524.4751
H123.52412.18884.75441.09773.80163.80162.51072.51075.65844.94354.94351.77891.7789
H132.82902.18894.26481.09762.60603.15272.53013.09024.94354.47514.81521.77891.7776
H142.82902.18894.26481.09763.15272.60603.09022.53014.94354.81524.47511.77891.7776

picture of Butane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 112.387 C1 C2 H7 109.195
C1 C2 H8 109.195 C1 C3 H9 110.693
C1 C3 H11 110.704 C1 C3 H12 31.160
C2 C1 C3 112.387 C2 C1 H5 109.195
C2 C1 H6 109.195 C2 C4 H10 17.446
C2 C4 H13 110.704 C2 C4 H14 110.704
C3 C1 H5 109.412 C3 C1 H6 109.412
C4 C2 H7 109.412 C4 C2 H8 109.412
H5 C1 H6 107.097 H7 C2 H8 107.097
H9 C3 H11 108.250 H9 C3 H12 141.853
H10 C4 H13 93.875 H10 C4 H14 113.897
H11 C3 H12 93.452 H13 C4 H14 108.144
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.136      
2 C -0.136      
3 C -0.231      
4 C -0.231      
5 H 0.071      
6 H 0.071      
7 H 0.071      
8 H 0.071      
9 H 0.076      
10 H 0.075      
11 H 0.075      
12 H 0.076      
13 H 0.075      
14 H 0.075      


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


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.230 -0.191 0.000
y -0.191 -26.603 0.000
z 0.000 0.000 -25.897
Traceless
 xyz
x 0.020 -0.191 0.000
y -0.191 -0.540 0.000
z 0.000 0.000 0.520
Polar
3z2-r21.039
x2-y20.374
xy-0.191
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.072 0.052 0.000
y 0.052 3.589 0.000
z 0.000 0.000 3.045


<r2> (average value of r2) Å2
<r2> 119.092
(<r2>)1/2 10.913

Conformer 2 (Gauche)

Jump to S1C1
Energy calculated at mPW1PW91/STO-3G
 hartrees
Energy at 0K-156.563627
Energy at 298.15K 
Nuclear repulsion energy131.319891
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 mPW1PW91/STO-3G
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 3539 3110 1.86      
2 A 3531 3103 0.03      
3 A 3488 3066 1.38      
4 A 3385 2975 4.67      
5 A 3361 2954 2.12      
6 A 1715 1507 0.03      
7 A 1708 1501 3.30      
8 A 1688 1483 0.00      
9 A 1596 1403 1.08      
10 A 1543 1357 0.23      
11 A 1434 1260 0.50      
12 A 1317 1158 0.07      
13 A 1202 1057 0.12      
14 A 1099 966 0.38      
15 A 925 813 0.06      
16 A 869 764 3.59      
17 A 327 287 0.17      
18 A 253 222 0.02      
19 A 106 93 0.00      
20 B 3537 3109 3.10      
21 B 3531 3103 3.60      
22 B 3496 3072 3.14      
23 B 3384 2975 3.98      
24 B 3360 2953 2.29      
25 B 1710 1503 4.93      
26 B 1701 1495 5.24      
27 B 1682 1478 0.17      
28 B 1596 1403 2.16      
29 B 1519 1335 8.17      
30 B 1413 1242 0.67      
31 B 1267 1113 3.99      
32 B 1076 945 0.38      
33 B 1069 940 6.01      
34 B 822 722 7.88      
35 B 453 398 0.93      
36 B 207 182 0.03      

Unscaled Zero Point Vibrational Energy (zpe) 32453.0 cm-1
Scaled (by 0.8789) Zero Point Vibrational Energy (zpe) 28523.0 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 mPW1PW91/STO-3G
ABC
0.76587 0.11920 0.11183

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/STO-3G

Point Group is C2h

Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability