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All results from a given calculation for CH3CH2CH2CH3 (Butane)

using model chemistry: M06-2X/6-31+G**

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 M06-2X/6-31+G**
 hartrees
Energy at 0K-158.371486
Energy at 298.15K-158.382154
HF Energy-158.371486
Nuclear repulsion energy130.648932
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 M06-2X/6-31+G**
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
Au 126 120 0.01      
Au 233 222 0.00      
Bu 263 251 0.00      
Bg 267 254 0.00      
Ag 432 411 0.00      
Au 737 702 2.48      
Bg 812 773 0.00      
Ag 858 817 0.00      
Au 962 916 0.95      
Bu 985 938 6.45      
Bu 1044 994 0.10      
Ag 1092 1040 0.00      
Ag 1178 1122 0.00      
Bg 1210 1152 0.00      
Au 1292 1230 0.38      
Bu 1322 1259 1.57      
Bg 1335 1271 0.00      
Ag 1404 1337 0.00      
Bu 1421 1354 8.37      
Ag 1422 1354 0.00      
Ag 1497 1425 0.00      
Bu 1500 1428 2.63      
Bg 1511 1439 0.00      
Au 1512 1440 18.06      
Ag 1514 1441 0.00      
Bu 1518 1446 10.41      
Ag 3048 2902 0.00      
Bu 3056 2910 42.82      
Bu 3063 2917 85.19      
Ag 3064 2917 0.00      
Bg 3079 2932 0.00      
Au 3101 2952 25.41      
Bg 3136 2986 0.00      
Au 3138 2988 103.61      
Ag 3146 2996 0.00      
Bu 3147 2996 69.23      

Unscaled Zero Point Vibrational Energy (zpe) 29211.8 cm-1
Scaled (by 0.9522) Zero Point Vibrational Energy (zpe) 27815.5 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 M06-2X/6-31+G**
ABC
0.78016 0.12158 0.11410

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-31+G**

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.423 0.636 0.000
C2 0.423 -0.636 0.000
C3 0.423 1.907 0.000
C4 -0.423 -1.907 0.000
H5 -1.082 0.629 0.878
H6 -1.082 0.629 -0.878
H7 1.082 -0.629 0.878
H8 1.082 -0.629 -0.878
H9 -0.198 2.807 0.000
H10 1.069 1.945 0.884
H11 1.069 1.945 -0.884
H12 0.198 -2.807 0.000
H13 -1.069 -1.945 0.884
H14 -1.069 -1.945 -0.884

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12 H13 H14
C11.52811.52732.54331.09781.09782.15352.15352.18252.17272.17273.49862.80332.8033
C21.52812.54331.52732.15352.15351.09781.09783.49862.80332.80332.18252.17272.1727
C31.52732.54333.90732.16112.16112.76382.76381.09361.09511.09514.71954.22444.2244
C42.54331.52733.90732.76382.76382.16112.16114.71954.22444.22441.09361.09511.0951
H51.09782.15352.16112.76381.75692.50273.05782.50892.52103.07593.77052.57403.1195
H61.09782.15352.16112.76381.75693.05782.50272.50893.07592.52103.77053.11952.5740
H72.15351.09782.76382.16112.50273.05781.75693.77052.57403.11952.50892.52103.0759
H82.15351.09782.76382.16113.05782.50271.75693.77053.11952.57402.50893.07592.5210
H92.18253.49861.09364.71952.50892.50893.77053.77051.76931.76935.62784.91094.9109
H102.17272.80331.09514.22442.52103.07592.57403.11951.76931.76784.91094.43834.7774
H112.17272.80331.09514.22443.07592.52103.11952.57401.76931.76784.91094.77744.4383
H123.49862.18254.71951.09363.77053.77052.50892.50895.62784.91094.91091.76931.7693
H132.80332.17274.22441.09512.57403.11952.52103.07594.91094.43834.77741.76931.7678
H142.80332.17274.22441.09513.11952.57403.07592.52104.91094.77744.43831.76931.7678

picture of Butane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 112.689 C1 C2 H7 109.090
C1 C2 H8 109.090 C1 C3 H9 111.686
C1 C3 H11 110.810 C1 C3 H12 30.933
C2 C1 C3 112.689 C2 C1 H5 109.090
C2 C1 H6 109.090 C2 C4 H10 17.307
C2 C4 H13 110.810 C2 C4 H14 110.810
C3 C1 H5 109.734 C3 C1 H6 109.734
C4 C2 H7 109.734 C4 C2 H8 109.734
H5 C1 H6 106.299 H7 C2 H8 106.299
H9 C3 H11 107.873 H9 C3 H12 142.619
H10 C4 H13 94.047 H10 C4 H14 114.099
H11 C3 H12 93.573 H13 C4 H14 107.627
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at M06-2X/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.206      
2 C -0.206      
3 C -0.557      
4 C -0.557      
5 H 0.149      
6 H 0.149      
7 H 0.149      
8 H 0.149      
9 H 0.157      
10 H 0.154      
11 H 0.154      
12 H 0.157      
13 H 0.154      
14 H 0.154      


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 -29.093 -0.409 0.000
y -0.409 -29.317 0.000
z 0.000 0.000 -28.279
Traceless
 xyz
x -0.295 -0.409 0.000
y -0.409 -0.631 0.000
z 0.000 0.000 0.926
Polar
3z2-r21.853
x2-y20.224
xy-0.409
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.999 0.241 0.000
y 0.241 8.099 0.000
z 0.000 0.000 6.644


<r2> (average value of r2) Å2
<r2> 118.864
(<r2>)1/2 10.902

Conformer 2 (Gauche)

Jump to S1C1
Energy calculated at M06-2X/6-31+G**
 hartrees
Energy at 0K-158.370613
Energy at 298.15K 
Nuclear repulsion energy 
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 M06-2X/6-31+G**
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 3150 3000 33.77      
2 A 3132 2982 0.60      
3 A 3089 2941 27.94      
4 A 3060 2913 28.29      
5 A 3045 2899 19.11      
6 A 1519 1446 0.63      
7 A 1509 1437 5.85      
8 A 1494 1423 0.16      
9 A 1418 1350 6.06      
10 A 1384 1317 0.09      
11 A 1310 1248 0.31      
12 A 1196 1139 0.03      
13 A 1107 1054 0.07      
14 A 992 945 0.15      
15 A 845 804 0.03      
16 A 801 763 1.35      
17 A 318 303 0.01      
18 A 270 257 0.01      
19 A 113 107 0.01      
20 B 3144 2994 44.00      
21 B 3132 2982 77.27      
22 B 3093 2945 30.12      
23 B 3059 2913 28.09      
24 B 3047 2901 34.48      
25 B 1512 1439 11.77      
26 B 1506 1434 12.99      
27 B 1489 1418 0.64      
28 B 1423 1355 7.92      
29 B 1366 1301 1.03      
30 B 1286 1224 0.36      
31 B 1154 1099 2.12      
32 B 984 937 1.47      
33 B 961 915 2.43      
34 B 746 710 3.04      
35 B 434 413 0.35      
36 B 212 202 0.03      

Unscaled Zero Point Vibrational Energy (zpe) 29148.4 cm-1
Scaled (by 0.9522) Zero Point Vibrational Energy (zpe) 27755.1 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 M06-2X/6-31+G**
ABC
0.78016 0.12158 0.11410

See section I.F.4 to change rotational constant units
Geometric Data calculated at M06-2X/6-31+G**

Point Group is C2h

Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability