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All results from a given calculation for CH3CH2CH2CH3 (Butane)

using model chemistry: HSEh1PBE/3-21G*

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 HSEh1PBE/3-21G*
 hartrees
Energy at 0K-157.410152
Energy at 298.15K-157.420867
HF Energy-157.410152
Nuclear repulsion energy130.328360
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 HSEh1PBE/3-21G*
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
Au 131 126 0.00      
Au 225 216 0.00      
Bg 264 253 0.00      
Bu 265 255 0.20      
Ag 437 419 0.00      
Au 758 728 8.16      
Bg 846 812 0.00      
Ag 857 822 0.00      
Bu 1008 967 8.04      
Au 1011 970 3.27      
Bu 1036 994 8.80      
Ag 1077 1034 0.00      
Ag 1199 1151 0.00      
Bg 1241 1191 0.00      
Au 1335 1282 0.01      
Bu 1364 1310 0.06      
Bg 1377 1322 0.00      
Ag 1407 1351 0.00      
Bu 1459 1400 17.87      
Ag 1461 1402 0.00      
Ag 1545 1483 0.00      
Bu 1551 1488 2.56      
Bg 1563 1500 0.00      
Au 1565 1502 21.01      
Ag 1567 1505 0.00      
Bu 1570 1507 15.68      
Ag 3053 2931 0.00      
Bu 3059 2936 21.74      
Ag 3061 2938 0.00      
Bu 3064 2941 68.42      
Bg 3082 2958 0.00      
Au 3105 2980 5.25      
Bg 3134 3008 0.00      
Ag 3138 3012 0.00      
Bu 3139 3013 59.38      
Au 3141 3015 90.96      

Unscaled Zero Point Vibrational Energy (zpe) 29545.1 cm-1
Scaled (by 0.9599) Zero Point Vibrational Energy (zpe) 28360.3 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 HSEh1PBE/3-21G*
ABC
0.77063 0.12133 0.11377

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/3-21G*

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.429 0.637 0.000
C2 0.429 -0.637 0.000
C3 0.429 1.910 0.000
C4 -0.429 -1.910 0.000
H5 -1.082 0.629 0.884
H6 -1.082 0.629 -0.884
H7 1.082 -0.629 0.884
H8 1.082 -0.629 -0.884
H9 -0.194 2.811 0.000
H10 1.073 1.937 0.887
H11 1.073 1.937 -0.887
H12 0.194 -2.811 0.000
H13 -1.073 -1.937 0.887
H14 -1.073 -1.937 -0.887

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12 H13 H14
C11.53581.53502.54641.09891.09892.16022.16022.18682.17602.17603.50362.79802.7980
C21.53582.54641.53502.16022.16021.09891.09893.50362.79802.79802.18682.17602.1760
C31.53502.54643.91432.16922.16922.76592.76591.09581.09681.09684.72644.22414.2241
C42.54641.53503.91432.76592.76592.16922.16924.72644.22414.22411.09581.09681.0968
H51.09892.16022.16922.76591.76742.50313.06422.51642.52143.08133.77372.56613.1180
H61.09892.16022.16922.76591.76743.06422.50312.51643.08132.52143.77373.11802.5661
H72.16021.09892.76592.16922.50313.06421.76743.77372.56613.11802.51642.52143.0813
H82.16021.09892.76592.16923.06422.50311.76743.77373.11802.56612.51643.08132.5214
H92.18683.50361.09584.72642.51642.51643.77373.77371.77641.77645.63534.91004.9100
H102.17602.79801.09684.22412.52143.08132.56613.11801.77641.77494.91004.42944.7718
H112.17602.79801.09684.22413.08132.52143.11802.56611.77641.77494.91004.77184.4294
H123.50362.18684.72641.09583.77373.77372.51642.51645.63534.91004.91001.77641.7764
H132.79802.17604.22411.09682.56613.11802.52143.08134.91004.42944.77181.77641.7749
H142.79802.17604.22411.09683.11802.56613.08132.52144.91004.77184.42941.77641.7749

picture of Butane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 112.038 C1 C2 H7 109.023
C1 C2 H8 109.023 C1 C3 H9 111.359
C1 C3 H11 110.444 C1 C3 H12 31.139
C2 C1 C3 112.038 C2 C1 H5 109.023
C2 C1 H6 109.023 C2 C4 H10 17.466
C2 C4 H13 110.444 C2 C4 H14 110.444
C3 C1 H5 109.782 C3 C1 H6 109.782
C4 C2 H7 109.782 C4 C2 H8 109.782
H5 C1 H6 107.061 H7 C2 H8 107.061
H9 C3 H11 108.229 H9 C3 H12 142.499
H10 C4 H13 93.550 H10 C4 H14 113.698
H11 C3 H12 93.132 H13 C4 H14 108.030
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.428      
2 C -0.428      
3 C -0.621      
4 C -0.621      
5 H 0.210      
6 H 0.210      
7 H 0.210      
8 H 0.210      
9 H 0.210      
10 H 0.209      
11 H 0.209      
12 H 0.210      
13 H 0.209      
14 H 0.209      


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 -28.243 -0.223 0.000
y -0.223 -28.445 0.000
z 0.000 0.000 -27.772
Traceless
 xyz
x -0.134 -0.223 0.000
y -0.223 -0.437 0.000
z 0.000 0.000 0.572
Polar
3z2-r21.143
x2-y20.202
xy-0.223
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.842 0.141 0.000
y 0.141 6.912 0.000
z 0.000 0.000 5.720


<r2> (average value of r2) Å2
<r2> 118.662
(<r2>)1/2 10.893

Conformer 2 (Gauche)

Jump to S1C1
Energy calculated at HSEh1PBE/3-21G*
 hartrees
Energy at 0K-157.409334
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 HSEh1PBE/3-21G*
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 3023 31.73      
2 A 3136 3010 0.38      
3 A 3096 2972 15.94      
4 A 3066 2943 16.97      
5 A 3059 2937 18.92      
6 A 1575 1512 5.68      
7 A 1564 1501 4.49      
8 A 1542 1480 1.14      
9 A 1462 1404 11.09      
10 A 1394 1339 0.73      
11 A 1350 1295 0.71      
12 A 1225 1176 0.00      
13 A 1107 1062 0.07      
14 A 1019 978 0.44      
15 A 857 823 0.66      
16 A 812 779 3.00      
17 A 332 318 0.11      
18 A 266 255 0.02      
19 A 109 105 0.01      
20 B 3143 3017 52.10      
21 B 3138 3012 60.92      
22 B 3103 2978 13.80      
23 B 3064 2941 18.75      
24 B 3057 2935 19.53      
25 B 1568 1505 13.35      
26 B 1561 1498 16.95      
27 B 1542 1481 1.69      
28 B 1450 1392 10.76      
29 B 1415 1358 0.86      
30 B 1331 1278 0.35      
31 B 1183 1135 5.06      
32 B 1013 972 6.80      
33 B 979 940 3.32      
34 B 772 741 8.91      
35 B 439 422 1.21      
36 B 215 206 0.08      

Unscaled Zero Point Vibrational Energy (zpe) 29545.9 cm-1
Scaled (by 0.9599) Zero Point Vibrational Energy (zpe) 28361.1 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 HSEh1PBE/3-21G*
ABC
0.77063 0.12133 0.11377

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/3-21G*

Point Group is C2h

Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability