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All results from a given calculation for CH3CH2CH2CH3 (Butane)

using model chemistry: HSEh1PBE/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 HSEh1PBE/6-31G
 hartrees
Energy at 0K-158.225832
Energy at 298.15K-158.236524
HF Energy-158.225832
Nuclear repulsion energy130.407420
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/6-31G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
Au 126 121 0.00      
Au 217 208 0.00      
Bg 255 244 0.00      
Bu 264 253 0.12      
Ag 437 418 0.00      
Au 762 729 6.41      
Bg 844 807 0.00      
Ag 867 829 0.00      
Au 997 954 2.33      
Bu 1016 972 12.38      
Bu 1056 1010 0.50      
Ag 1111 1062 0.00      
Ag 1205 1153 0.00      
Bg 1246 1192 0.00      
Au 1322 1264 0.01      
Bg 1359 1300 0.00      
Bu 1365 1306 0.63      
Ag 1421 1359 0.00      
Ag 1459 1396 0.00      
Bu 1459 1396 13.35      
Ag 1537 1470 0.00      
Bu 1538 1472 3.89      
Bg 1544 1477 0.00      
Au 1545 1478 19.54      
Ag 1549 1482 0.00      
Bu 1558 1490 12.26      
Ag 3039 2908 0.00      
Bu 3049 2916 54.97      
Bu 3056 2923 77.30      
Ag 3057 2924 0.00      
Bg 3071 2938 0.00      
Au 3097 2963 24.54      
Bg 3138 3002 0.00      
Au 3143 3006 115.68      
Ag 3146 3010 0.00      
Bu 3147 3010 79.27      

Unscaled Zero Point Vibrational Energy (zpe) 29500.3 cm-1
Scaled (by 0.9566) Zero Point Vibrational Energy (zpe) 28220.0 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 HSEh1PBE/6-31G
ABC
0.77975 0.12092 0.11353

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31G

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.422 0.639 0.000
C2 0.422 -0.639 0.000
C3 0.422 1.912 0.000
C4 -0.422 -1.912 0.000
H5 -1.083 0.632 0.879
H6 -1.083 0.632 -0.879
H7 1.083 -0.632 0.879
H8 1.083 -0.632 -0.879
H9 -0.203 2.811 0.000
H10 1.069 1.954 0.885
H11 1.069 1.954 -0.885
H12 0.203 -2.811 0.000
H13 -1.069 -1.954 0.885
H14 -1.069 -1.954 -0.885

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12 H13 H14
C11.53141.52832.55101.09971.09972.15752.15752.18362.17672.17673.50632.81522.8152
C21.53142.55101.52832.15752.15751.09971.09973.50632.81522.81522.18362.17672.1767
C31.52832.55103.91692.16302.16302.77202.77201.09531.09671.09674.72874.23784.2378
C42.55101.52833.91692.77202.77202.16302.16304.72874.23784.23781.09531.09671.0967
H51.09972.15752.16302.77201.75792.50853.06312.50902.52603.08083.77962.58673.1308
H61.09972.15752.16302.77201.75793.06312.50852.50903.08082.52603.77963.13082.5867
H72.15751.09972.77202.16302.50853.06311.75793.77962.58673.13082.50902.52603.0808
H82.15751.09972.77202.16303.06312.50851.75793.77963.13082.58672.50903.08082.5260
H92.18363.50631.09534.72872.50902.50903.77963.77961.77091.77095.63724.92384.9238
H102.17672.81521.09674.23782.52603.08082.58673.13081.77091.76964.92384.45544.7939
H112.17672.81521.09674.23783.08082.52603.13082.58671.77091.76964.92384.79394.4554
H123.50632.18364.72871.09533.77963.77962.50902.50905.63724.92384.92381.77091.7709
H132.81522.17674.23781.09672.58673.13082.52603.08084.92384.45544.79391.77091.7696
H142.81522.17674.23781.09673.13082.58673.08082.52604.92384.79394.45541.77091.7696

picture of Butane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 112.968 C1 C2 H7 109.059
C1 C2 H8 109.059 C1 C3 H9 111.598
C1 C3 H11 110.970 C1 C3 H12 30.901
C2 C1 C3 112.968 C2 C1 H5 109.059
C2 C1 H6 109.059 C2 C4 H10 17.272
C2 C4 H13 110.970 C2 C4 H14 110.970
C3 C1 H5 109.703 C3 C1 H6 109.703
C4 C2 H7 109.703 C4 C2 H8 109.703
H5 C1 H6 106.116 H7 C2 H8 106.116
H9 C3 H11 107.778 H9 C3 H12 142.500
H10 C4 H13 94.247 H10 C4 H14 114.266
H11 C3 H12 93.766 H13 C4 H14 107.574
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.299      
2 C -0.299      
3 C -0.485      
4 C -0.485      
5 H 0.154      
6 H 0.154      
7 H 0.154      
8 H 0.154      
9 H 0.159      
10 H 0.158      
11 H 0.158      
12 H 0.159      
13 H 0.158      
14 H 0.158      


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 -28.278 -0.243 0.000
y -0.243 -28.465 0.000
z 0.000 0.000 -27.801
Traceless
 xyz
x -0.145 -0.243 0.000
y -0.243 -0.425 0.000
z 0.000 0.000 0.571
Polar
3z2-r21.141
x2-y20.187
xy-0.243
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.153 0.127 0.000
y 0.127 7.173 0.000
z 0.000 0.000 6.034


<r2> (average value of r2) Å2
<r2> 118.917
(<r2>)1/2 10.905

Conformer 2 (Gauche)

Jump to S1C1
Energy calculated at HSEh1PBE/6-31G
 hartrees
Energy at 0K-158.224706
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/6-31G
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 3154 3017 37.69      
2 A 3142 3006 2.72      
3 A 3088 2954 27.24      
4 A 3061 2928 25.80      
5 A 3046 2914 26.35      
6 A 1557 1489 2.85      
7 A 1549 1482 6.67      
8 A 1533 1466 0.04      
9 A 1462 1398 7.83      
10 A 1401 1340 0.72      
11 A 1342 1284 0.56      
12 A 1231 1177 0.01      
13 A 1136 1086 0.08      
14 A 1025 980 0.37      
15 A 862 824 0.18      
16 A 821 786 2.75      
17 A 327 313 0.08      
18 A 267 255 0.01      
19 A 109 104 0.01      
20 B 3149 3012 56.82      
21 B 3144 3008 88.20      
22 B 3094 2960 30.47      
23 B 3059 2926 26.56      
24 B 3044 2912 31.43      
25 B 1551 1484 15.63      
26 B 1544 1477 12.92      
27 B 1532 1466 0.82      
28 B 1454 1391 10.08      
29 B 1417 1356 1.32      
30 B 1321 1264 0.32      
31 B 1188 1136 4.22      
32 B 1004 960 7.51      
33 B 1001 958 0.33      
34 B 776 742 7.04      
35 B 444 425 0.87      
36 B 211 201 0.08      

Unscaled Zero Point Vibrational Energy (zpe) 29520.9 cm-1
Scaled (by 0.9566) Zero Point Vibrational Energy (zpe) 28239.7 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/6-31G
ABC
0.77975 0.12092 0.11353

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31G

Point Group is C2h

Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability