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All results from a given calculation for CH3CH2CH2CH3 (Butane)

using model chemistry: mPW1PW91/6-311G**

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 mPW1PW91/6-311G**
 hartrees
Energy at 0K-158.460048
Energy at 298.15K-158.470679
HF Energy-158.460048
Nuclear repulsion energy130.803500
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 mPW1PW91/6-311G**
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
Au 125 120 0.00      
Au 218 208 0.01      
Bu 255 244 0.03      
Bg 257 246 0.00      
Ag 426 407 0.00      
Au 738 706 4.20      
Bg 813 778 0.00      
Ag 852 816 0.00      
Au 965 924 1.38      
Bu 983 940 7.67      
Bu 1038 993 0.04      
Ag 1088 1041 0.00      
Ag 1176 1125 0.00      
Bg 1209 1157 0.00      
Au 1293 1237 0.06      
Bu 1322 1265 1.48      
Bg 1338 1280 0.00      
Ag 1401 1341 0.00      
Ag 1414 1352 0.00      
Bu 1414 1353 7.83      
Ag 1490 1426 0.00      
Bu 1493 1429 2.25      
Bg 1500 1435 0.00      
Au 1502 1437 16.94      
Ag 1507 1442 0.00      
Bu 1513 1448 10.80      
Ag 3031 2900 0.00      
Bu 3039 2908 40.35      
Bu 3046 2914 88.99      
Ag 3047 2915 0.00      
Bg 3056 2924 0.00      
Au 3079 2946 21.83      
Bg 3116 2981 0.00      
Au 3119 2984 115.41      
Ag 3123 2988 0.00      
Bu 3124 2989 78.50      

Unscaled Zero Point Vibrational Energy (zpe) 29056.2 cm-1
Scaled (by 0.9567) Zero Point Vibrational Energy (zpe) 27798.1 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 mPW1PW91/6-311G**
ABC
0.78713 0.12148 0.11410

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-311G**

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.419 0.637 0.000
C2 0.419 -0.637 0.000
C3 0.419 1.908 0.000
C4 -0.419 -1.908 0.000
H5 -1.079 0.632 0.875
H6 -1.079 0.632 -0.875
H7 1.079 -0.632 0.875
H8 1.079 -0.632 -0.875
H9 -0.207 2.803 0.000
H10 1.064 1.955 0.882
H11 1.064 1.955 -0.882
H12 0.207 -2.803 0.000
H13 -1.064 -1.955 0.882
H14 -1.064 -1.955 -0.882

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12 H13 H14
C11.52501.52302.54481.09611.09612.14972.14972.17642.17172.17173.49622.81252.8125
C21.52502.54481.52302.14972.14971.09611.09613.49622.81252.81252.17642.17172.1717
C31.52302.54483.90712.15422.15422.76622.76621.09231.09361.09364.71564.23094.2309
C42.54481.52303.90712.76622.76622.15422.15424.71564.23094.23091.09231.09361.0936
H51.09612.14972.15422.76621.75042.50123.05282.49802.51913.07133.77062.58663.1269
H61.09612.14972.15422.76621.75043.05282.50122.49803.07132.51913.77063.12692.5866
H72.14971.09612.76622.15422.50123.05281.75043.77062.58663.12692.49802.51913.0713
H82.14971.09612.76622.15423.05282.50121.75043.77063.12692.58662.49803.07132.5191
H92.17643.49621.09234.71562.49802.49803.77063.77061.76451.76455.62094.91404.9140
H102.17172.81251.09364.23092.51913.07132.58663.12691.76451.76364.91404.45164.7882
H112.17172.81251.09364.23093.07132.51913.12692.58661.76451.76364.91404.78824.4516
H123.49622.17644.71561.09233.77063.77062.49802.49805.62094.91404.91401.76451.7645
H132.81252.17174.23091.09362.58663.12692.51913.07134.91404.45164.78821.76451.7636
H142.81252.17174.23091.09363.12692.58663.07132.51914.91404.78824.45161.76451.7636

picture of Butane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 113.218 C1 C2 H7 109.104
C1 C2 H8 109.104 C1 C3 H9 111.587
C1 C3 H11 111.135 C1 C3 H12 30.837
C2 C1 C3 113.218 C2 C1 H5 109.104
C2 C1 H6 109.104 C2 C4 H10 17.213
C2 C4 H13 111.135 C2 C4 H14 111.135
C3 C1 H5 109.597 C3 C1 H6 109.597
C4 C2 H7 109.597 C4 C2 H8 109.597
H5 C1 H6 105.961 H7 C2 H8 105.961
H9 C3 H11 107.654 H9 C3 H12 142.424
H10 C4 H13 94.466 H10 C4 H14 114.456
H11 C3 H12 93.973 H13 C4 H14 107.484
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.267      
2 C -0.267      
3 C -0.328      
4 C -0.328      
5 H 0.121      
6 H 0.121      
7 H 0.121      
8 H 0.121      
9 H 0.121      
10 H 0.116      
11 H 0.116      
12 H 0.121      
13 H 0.116      
14 H 0.116      


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 -28.574 -0.380 0.000
y -0.380 -28.889 0.000
z 0.000 0.000 -27.882
Traceless
 xyz
x -0.188 -0.380 0.000
y -0.380 -0.661 0.000
z 0.000 0.000 0.849
Polar
3z2-r21.698
x2-y20.316
xy-0.380
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.798 0.234 0.000
y 0.234 8.093 0.000
z 0.000 0.000 6.480


<r2> (average value of r2) Å2
<r2> 118.586
(<r2>)1/2 10.890

Conformer 2 (Gauche)

Jump to S1C1
Energy calculated at mPW1PW91/6-311G**
 hartrees
Energy at 0K-158.458829
Energy at 298.15K 
Nuclear repulsion energy132.578719
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 mPW1PW91/6-311G**
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 3131 2995 38.98      
2 A 3119 2984 2.79      
3 A 3073 2940 27.96      
4 A 3050 2918 27.18      
5 A 3036 2904 19.75      
6 A 1514 1448 1.39      
7 A 1506 1441 6.56      
8 A 1488 1424 0.00      
9 A 1414 1353 5.35      
10 A 1383 1323 0.15      
11 A 1318 1261 0.42      
12 A 1196 1144 0.04      
13 A 1107 1059 0.11      
14 A 997 954 0.25      
15 A 844 807 0.00      
16 A 799 764 2.07      
17 A 320 307 0.02      
18 A 264 252 0.01      
19 A 110 105 0.01      
20 B 3126 2990 53.61      
21 B 3120 2985 86.86      
22 B 3077 2944 28.53      
23 B 3048 2916 26.21      
24 B 3036 2905 30.71      
25 B 1507 1442 12.22      
26 B 1500 1435 11.40      
27 B 1485 1421 0.65      
28 B 1417 1355 8.09      
29 B 1371 1312 0.76      
30 B 1292 1236 0.34      
31 B 1157 1107 2.72      
32 B 983 941 1.85      
33 B 970 928 3.32      
34 B 749 717 4.72      
35 B 431 413 0.44      
36 B 212 203 0.06      

Unscaled Zero Point Vibrational Energy (zpe) 29076.0 cm-1
Scaled (by 0.9567) Zero Point Vibrational Energy (zpe) 27817.0 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 mPW1PW91/6-311G**
ABC
0.78713 0.12148 0.11410

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-311G**

Point Group is C2h

Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability