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All results from a given calculation for CH3CH2CH2CH3 (Butane)

using model chemistry: mPW1PW91/6-31G(2df,p)

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 mPW1PW91/6-31G(2df,p)
 hartrees
Energy at 0K-158.433327
Energy at 298.15K-158.443948
HF Energy-158.433327
Nuclear repulsion energy130.758344
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 mPW1PW91/6-31G(2df,p)
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
Au 127 121 0.01      
Au 220 210 0.00      
Bu 254 242 0.07      
Bg 260 248 0.00      
Ag 424 405 0.00      
Au 735 702 4.39      
Bg 810 774 0.00      
Ag 853 815 0.00      
Au 962 918 1.33      
Bu 980 936 6.51      
Bu 1040 993 0.01      
Ag 1090 1040 0.00      
Ag 1177 1123 0.00      
Bg 1213 1158 0.00      
Au 1293 1235 0.05      
Bu 1322 1262 4.15      
Bg 1337 1276 0.00      
Ag 1402 1338 0.00      
Ag 1412 1348 0.00      
Bu 1413 1349 4.07      
Ag 1488 1420 0.00      
Bu 1492 1425 1.48      
Bg 1500 1432 0.00      
Au 1502 1434 12.56      
Ag 1507 1439 0.00      
Bu 1513 1445 5.91      
Ag 3039 2902 0.00      
Bu 3048 2910 37.33      
Bu 3055 2916 77.97      
Ag 3055 2917 0.00      
Bg 3069 2930 0.00      
Au 3092 2952 21.90      
Bg 3131 2989 0.00      
Au 3134 2992 92.86      
Ag 3138 2996 0.00      
Bu 3139 2997 64.95      

Unscaled Zero Point Vibrational Energy (zpe) 29112.3 cm-1
Scaled (by 0.9547) Zero Point Vibrational Energy (zpe) 27793.5 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 mPW1PW91/6-31G(2df,p)
ABC
0.78545 0.12150 0.11409

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G(2df,p)

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.420 0.637 0.000
C2 0.420 -0.637 0.000
C3 0.420 1.908 0.000
C4 -0.420 -1.908 0.000
H5 -1.081 0.632 0.875
H6 -1.081 0.632 -0.875
H7 1.081 -0.632 0.875
H8 1.081 -0.632 -0.875
H9 -0.206 2.804 0.000
H10 1.066 1.954 0.882
H11 1.066 1.954 -0.882
H12 0.206 -2.804 0.000
H13 -1.066 -1.954 0.882
H14 -1.066 -1.954 -0.882

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12 H13 H14
C11.52541.52352.54441.09691.09692.15132.15132.17762.17272.17273.49692.81162.8116
C21.52542.54441.52352.15132.15131.09691.09693.49692.81162.81162.17762.17272.1727
C31.52352.54443.90682.15572.15572.76632.76631.09311.09431.09434.71634.23044.2304
C42.54441.52353.90682.76632.76632.15572.15574.71634.23044.23041.09311.09431.0943
H51.09692.15132.15572.76631.75072.50423.05552.49982.52133.07333.77172.58553.1263
H61.09692.15132.15572.76631.75073.05552.50422.49983.07332.52133.77173.12632.5855
H72.15131.09692.76632.15572.50423.05551.75073.77172.58553.12632.49982.52133.0733
H82.15131.09692.76632.15573.05552.50421.75073.77173.12632.58552.49983.07332.5213
H92.17763.49691.09314.71632.49982.49983.77173.77171.76601.76605.62264.91434.9143
H102.17272.81161.09434.23042.52133.07332.58553.12631.76601.76424.91434.45114.7880
H112.17272.81161.09434.23043.07332.52133.12632.58551.76601.76424.91434.78804.4511
H123.49692.17764.71631.09313.77173.77172.49982.49985.62264.91434.91431.76601.7660
H132.81162.17274.23041.09432.58553.12632.52133.07334.91434.45114.78801.76601.7642
H142.81162.17274.23041.09433.12632.58553.07332.52134.91434.78804.45111.76601.7642

picture of Butane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 113.131 C1 C2 H7 109.157
C1 C2 H8 109.157 C1 C3 H9 111.604
C1 C3 H11 111.130 C1 C3 H12 30.858
C2 C1 C3 113.131 C2 C1 H5 109.157
C2 C1 H6 109.157 C2 C4 H10 17.222
C2 C4 H13 111.130 C2 C4 H14 111.130
C3 C1 H5 109.629 C3 C1 H6 109.629
C4 C2 H7 109.629 C4 C2 H8 109.629
H5 C1 H6 105.879 H7 C2 H8 105.879
H9 C3 H11 107.677 H9 C3 H12 142.462
H10 C4 H13 94.450 H10 C4 H14 114.441
H11 C3 H12 93.941 H13 C4 H14 107.429
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.214      
2 C -0.214      
3 C -0.448      
4 C -0.448      
5 H 0.123      
6 H 0.123      
7 H 0.123      
8 H 0.123      
9 H 0.138      
10 H 0.139      
11 H 0.139      
12 H 0.138      
13 H 0.139      
14 H 0.139      


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 -27.949 -0.356 0.000
y -0.356 -28.412 0.000
z 0.000 0.000 -27.337
Traceless
 xyz
x -0.074 -0.356 0.000
y -0.356 -0.769 0.000
z 0.000 0.000 0.843
Polar
3z2-r21.687
x2-y20.463
xy-0.356
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.393 0.205 0.000
y 0.205 7.652 0.000
z 0.000 0.000 6.160


<r2> (average value of r2) Å2
<r2> 118.262
(<r2>)1/2 10.875

Conformer 2 (Gauche)

Jump to S1C1
Energy calculated at mPW1PW91/6-31G(2df,p)
 hartrees
Energy at 0K-158.431993
Energy at 298.15K 
Nuclear repulsion energy132.515285
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 mPW1PW91/6-31G(2df,p)
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 3146 3003 31.99      
2 A 3134 2992 2.23      
3 A 3085 2945 24.12      
4 A 3059 2920 23.60      
5 A 3045 2907 20.53      
6 A 1514 1445 1.30      
7 A 1507 1438 4.09      
8 A 1487 1420 0.01      
9 A 1413 1349 3.06      
10 A 1383 1321 0.58      
11 A 1317 1257 0.23      
12 A 1199 1144 0.04      
13 A 1108 1058 0.07      
14 A 995 950 0.22      
15 A 845 806 0.00      
16 A 797 761 1.87      
17 A 320 306 0.06      
18 A 266 254 0.01      
19 A 109 104 0.00      
20 B 3141 2999 44.59      
21 B 3135 2993 70.66      
22 B 3090 2950 26.18      
23 B 3057 2919 23.02      
24 B 3044 2906 27.35      
25 B 1507 1438 7.82      
26 B 1499 1431 8.39      
27 B 1483 1416 0.30      
28 B 1415 1351 7.13      
29 B 1370 1308 2.58      
30 B 1292 1233 0.60      
31 B 1158 1106 2.64      
32 B 984 940 1.64      
33 B 967 923 2.61      
34 B 746 713 4.49      
35 B 428 409 0.54      
36 B 212 202 0.05      

Unscaled Zero Point Vibrational Energy (zpe) 29126.9 cm-1
Scaled (by 0.9547) Zero Point Vibrational Energy (zpe) 27807.4 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 mPW1PW91/6-31G(2df,p)
ABC
0.78545 0.12150 0.11409

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G(2df,p)

Point Group is C2h

Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability