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All results from a given calculation for CH3CH2CH2CH3 (Butane)

using model chemistry: PBE1PBE/6-31G**

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 PBE1PBE/6-31G**
 hartrees
Energy at 0K-158.250179
Energy at 298.15K-158.260831
HF Energy-158.250179
Nuclear repulsion energy130.659969
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 PBE1PBE/6-31G**
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
Au 127 121 0.01      
Au 223 212 0.00      
Bu 257 245 0.06      
Bg 263 251 0.00      
Ag 428 408 0.00      
Au 743 708 4.84      
Bg 819 780 0.00      
Ag 861 821 0.00      
Au 972 926 1.60      
Bu 990 944 8.41      
Bu 1051 1002 0.17      
Ag 1098 1047 0.00      
Ag 1188 1132 0.00      
Bg 1223 1166 0.00      
Au 1306 1244 0.06      
Bu 1334 1272 2.82      
Bg 1349 1286 0.00      
Ag 1420 1353 0.00      
Ag 1438 1371 0.00      
Bu 1439 1371 6.44      
Ag 1514 1443 0.00      
Bu 1518 1447 1.79      
Bg 1526 1454 0.00      
Au 1527 1456 15.48      
Ag 1533 1461 0.00      
Bu 1539 1467 8.00      
Ag 3049 2906 0.00      
Bu 3057 2913 43.32      
Bu 3065 2922 76.29      
Ag 3066 2922 0.00      
Bg 3078 2934 0.00      
Au 3101 2955 24.89      
Bg 3139 2992 0.00      
Au 3143 2995 100.64      
Ag 3147 3000 0.00      
Bu 3148 3000 69.71      

Unscaled Zero Point Vibrational Energy (zpe) 29339.2 cm-1
Scaled (by 0.9531) Zero Point Vibrational Energy (zpe) 27963.2 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 PBE1PBE/6-31G**
ABC
0.78327 0.12146 0.11406

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G**

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 -1.082 0.632 0.878
H6 -1.082 0.632 -0.878
H7 1.082 -0.632 0.878
H8 1.082 -0.632 -0.878
H9 -0.207 2.806 0.000
H10 1.067 1.953 0.884
H11 1.067 1.953 -0.884
H12 0.207 -2.806 0.000
H13 -1.067 -1.953 0.884
H14 -1.067 -1.953 -0.884

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12 H13 H14
C11.52581.52372.54441.09921.09922.15312.15312.17972.17432.17433.49932.81212.8121
C21.52582.54441.52372.15312.15311.09921.09923.49932.81212.81212.17972.17432.1743
C31.52372.54443.90672.15752.15752.76702.76701.09551.09661.09664.71854.23084.2308
C42.54441.52373.90672.76702.76702.15752.15754.71854.23084.23081.09551.09661.0966
H51.09922.15312.15752.76701.75522.50593.05942.50282.52313.07733.77472.58493.1281
H61.09922.15312.15752.76701.75523.05942.50592.50283.07732.52313.77473.12812.5849
H72.15311.09922.76702.15752.50593.05941.75523.77472.58493.12812.50282.52313.0773
H82.15311.09922.76702.15753.05942.50591.75523.77473.12812.58492.50283.07732.5231
H92.17973.49931.09554.71852.50282.50283.77473.77471.76981.76985.62724.91654.9165
H102.17432.81211.09664.23082.52313.07732.58493.12811.76981.76834.91654.45154.7899
H112.17432.81211.09664.23083.07732.52313.12812.58491.76981.76834.91654.78994.4515
H123.49932.17974.71851.09553.77473.77472.50282.50285.62724.91654.91651.76981.7698
H132.81212.17434.23081.09662.58493.12812.52313.07734.91654.45154.78991.76981.7683
H142.81212.17434.23081.09663.12812.58493.07732.52314.91654.78994.45151.76981.7683

picture of Butane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 113.099 C1 C2 H7 109.137
C1 C2 H8 109.137 C1 C3 H9 111.614
C1 C3 H11 111.107 C1 C3 H12 30.883
C2 C1 C3 113.099 C2 C1 H5 109.137
C2 C1 H6 109.137 C2 C4 H10 17.236
C2 C4 H13 111.107 C2 C4 H14 111.107
C3 C1 H5 109.629 C3 C1 H6 109.629
C4 C2 H7 109.629 C4 C2 H8 109.629
H5 C1 H6 105.960 H7 C2 H8 105.960
H9 C3 H11 107.681 H9 C3 H12 142.497
H10 C4 H13 94.408 H10 C4 H14 114.445
H11 C3 H12 93.907 H13 C4 H14 107.459
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.310      
2 C -0.310      
3 C -0.520      
4 C -0.520      
5 H 0.161      
6 H 0.161      
7 H 0.161      
8 H 0.161      
9 H 0.171      
10 H 0.168      
11 H 0.168      
12 H 0.171      
13 H 0.168      
14 H 0.168      


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 -28.153 -0.323 0.000
y -0.323 -28.505 0.000
z 0.000 0.000 -27.574
Traceless
 xyz
x -0.114 -0.323 0.000
y -0.323 -0.642 0.000
z 0.000 0.000 0.755
Polar
3z2-r21.511
x2-y20.352
xy-0.323
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.199 0.154 0.000
y 0.154 7.311 0.000
z 0.000 0.000 6.039


<r2> (average value of r2) Å2
<r2> 118.444
(<r2>)1/2 10.883

Conformer 2 (Gauche)

Jump to S1C1
Energy calculated at PBE1PBE/6-31G**
 hartrees
Energy at 0K-158.248999
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 PBE1PBE/6-31G**
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A 3155 3007 33.47      
2 A 3142 2995 2.42      
3 A 3093 2948 25.91      
4 A 3069 2925 23.75      
5 A 3054 2911 21.87      
6 A 1540 1468 1.56      
7 A 1533 1461 5.04      
8 A 1513 1442 0.00      
9 A 1439 1371 4.44      
10 A 1401 1335 0.32      
11 A 1330 1268 0.37      
12 A 1210 1153 0.03      
13 A 1117 1065 0.03      
14 A 1007 960 0.22      
15 A 852 813 0.00      
16 A 806 768 2.21      
17 A 324 309 0.05      
18 A 272 259 0.01      
19 A 112 106 0.01      
20 B 3149 3002 48.82      
21 B 3143 2996 76.43      
22 B 3098 2953 29.13      
23 B 3067 2923 23.17      
24 B 3053 2910 28.83      
25 B 1533 1461 10.20      
26 B 1525 1454 10.51      
27 B 1509 1438 0.49      
28 B 1441 1373 7.93      
29 B 1385 1320 2.26      
30 B 1304 1243 0.54      
31 B 1168 1114 3.34      
32 B 994 947 1.45      
33 B 977 931 3.59      
34 B 754 718 5.26      
35 B 434 414 0.61      
36 B 216 206 0.06      

Unscaled Zero Point Vibrational Energy (zpe) 29358.0 cm-1
Scaled (by 0.9531) Zero Point Vibrational Energy (zpe) 27981.1 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 PBE1PBE/6-31G**
ABC
0.78327 0.12146 0.11406

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G**

Point Group is C2h

Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability